The solution of the system of equations given y = -6x + 5 and 4x - y = 5, is (1, -1).
To solve this system of equations, we can use the substitution method. We can rearrange the first equation to solve for y in terms of x:
y = -6x + 5
Next, we can substitute this expression for y in the second equation:
4x - (-6x + 5) = 5
Simplifying this equation, we get:
4x + 6x - 5 = 5
Combining like terms, we get:
10x = 10
Dividing both sides by 10, we get:
x = 1
Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Using the first equation, we get:
y = -6(1) + 5 = -1
Therefore, the solution of the system of equations is (1, -1). This means that the two equations intersect at the point (1, -1) on the coordinate plane, and this is the only point that satisfies both equations simultaneously.
In summary, to solve the system of equations y = -6x + 5 and 4x - y = 5, we used the substitution method to find that the solution is (1, -1).
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Downtown Mathville is laid out as a 6 x 6 square grid of streets (see diagram below). Your apartment is located at the southwest corner of downtown Mathville (see point H). Your math classroom is located at the northwest corner of downtown Mathville (see point M). You know that it is a 12-block walk to math class and that there is no shorter path. Your curious roommate (we’ll call her Curious Georgia) asks how many different paths (of length 12 blocks – you don’t want to back track or go out of your way) could you take to get from your apartment to the math class. It should also be clear that no shorter path exists. Can you solve Curious Georgia’s math problem?
Yes, we can solve Curious Georgia's math problem using the concept of combinations.
There are 924 different paths we can take from our apartment to the math classroom, each of which is exactly 12 blocks long and does not backtrack or go out of the way.
We have,
Yes, we can solve Curious Georgia's math problem using the concept of combinations.
Since we cannot backtrack or go out of our way, we need to take exactly 6 blocks to the north and 6 blocks to the east to reach the math classroom.
This means that we need to choose 6 out of the 12 blocks to go north, and the remaining 6 blocks will be used to go east.
The total number of paths we can take is the number of ways we can choose 6 blocks out of the 12 blocks.
This can be calculated using the combination formula:
[tex]^nC_r[/tex] = n! / r!(n-r)!
where n is the total number of objects, r is the number of objects to choose, and ! represents the factorial function
In this case,
we have n = 12 and r = 6.
The number of paths.
= [tex]^{12}C_6[/tex]
= 12! / 6!(12-6)!
= 924
Therefore,
There are 924 different paths we can take from our apartment to the math classroom, each of which is exactly 12 blocks long and does not backtrack or go out of the way.
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I want to know the claim ___ which corresponds to ____
And the opposite ___ which corresponds to ____
The correct values to fill in the missing information are:
Claim: p ≠ 0.5 which corresponds to H0: p = 0.5 (two-tailed test)Opposite: p = 0.5 which corresponds to H1: p = 0.5 (two-tailed test)The test is: two-tailedThe test statistic is: 0.55 (to 2 decimals)The p-value is: 0.5823 (to 4 decimals)Based on this we: Fail to reject the null hypothesisConclusion: There does not appear to be enough evidence to support the claim that the proportion of American adults who eat salad once per week is different from 50% at a significance level of 0.05.What is the sentences about?Claim: The claim is that the proportion of American adults who eat salad once per week is different from 50%, which corresponds to the null hypothesis H0: p = 0.5.
Opposite: The opposite of the claim is that the proportion of American adults who eat salad once per week is equal to 50%, which corresponds to the alternative hypothesis H1: p = 0.5 (Note that in this case, the alternative hypothesis is the opposite of the claim since we are testing for a difference from 50% in the claim).
Therefore, the claim is H0: p ≠ 0.5 (two-tailed test), and the opposite is H1: p = 0.5 (two-tailed test).
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Look at the key below the map that shows the color-scaled performance range. What is the range for 1 Year performance? How does it compare to the 1 Dat performance range? Why do you think this is the case?
1 year performance: -30%, -20%, -10% 0%, 10%, 20%, 30%
1 Day performance : -3%, -2%, -1%, 0, 10%, 20%, 30%
The range of 1 year performance is more than 1 Day performance.
We have,
1 year performance: -30%, -20%, -10% 0%, 10%, 20%, 30%
1 Day performance : -3%, -2%, -1%, 0, 10%, 20%, 30%
Now, the range of 1 year performance
= Highest - lowest
= 30 - (-30)
= 60
and, the range of 1 Day performance
= Highest - lowest
= 30 - (-3)
= 33
Thus, the range of 1 year performance is more than 1 Day performance.
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For an investment of 26,245, a quarterly statement reports that the account is 26,292. The statement reports that for the same quarter, the rate of return of the investment was - 0.02%. Given the information regarding the investment quarterly activity, does the reported rate of return seem reasonable?
No. The reported return rate appears lower than expected.
Rate of returnsTo determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.
First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.
Then, we can use the following formula to calculate the expected rate of return:
Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1
Plugging in the given values, we get:
n = 1 (since we are only given information for a single quarter)
Initial investment = 26,245
Ending value = 26,292
Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%
Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.
Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.
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Correct answer gets brainliest!!!!
Option B
One dimensional objects
Answer:
B. One-dimensional objects
A line segment can "grow" from one-dimensional objects. A line segment is a one-dimensional figure that has two endpoints and connects them with a straight path. One-dimensional objects include lines and curves, and a line segment can be a part of a longer line or curve.
Three-dimensional objects (A) are made up of length, width, and height and cannot "grow" into a line segment, but a line segment can be a part of a three-dimensional object, such as an edge or a diagonal.
Zero-dimensional objects (C) are points, which do not have any length, width, or height. A line segment cannot "grow" from a point, but a point can be one of the endpoints of a line segment.
The diagram represents two statements:p and q Which represents regions a,b,c
The statement for regions A, B, C are "Elements in P but not in Q." "Elements in both P and Q." and "Elements in Q but not in P." respectively
Describing the statements of the regions of A, B and CThe descriptions of the regions A, B and C from the Venn Diagram that complete the question are as follows:
Region A:
This region represents the set of elements that belong only to P, but not to Q i.e. A is the set of elements that are in P but not in Q.
Region B:
This region represents the set of elements that belong to both circle P and circle Q. i.e. B is the intersection of sets P and Q.
Region C:
This region represents the set of elements that belong only to circle Q, but not to circle P. i.e. C is the set of elements that are in Q but not in P.
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-4) = -11 B. g(0) = 2 C. g(7) = -1 D. g(-13) = 20
A statement which could be true for g is that: D. g(-13) = 20.
What is a domain?In Mathematics and Geometry, a domain can be defined as the set of all real numbers for which a particular function is completely defined.
How to determine the true statement?Since the domain of this function is given by -20 ≤ x ≤ 5, it simply means that the value of x must between -20 and 5. Also, with a range of -5 ≤ g(x) ≤ 45, the value of x must between -5 and 45.
By extrapolating the function, we can deduce that:
g(0) = -2
g(-9) = 6
g(-13) = 20
In this context, we can reasonably infer and logically deduce that based on the answer options provided, g(-13) = 20 is the only statement that could be true for the function g.
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what is the cosine of angle b
For the given right angled triangle cosine of angle B is 5√89/89.(option A).
What is right angled triangle?
It is a particular type of triangle having one angle is 90° or right angle. The adjacent sides of the right angle are called base and the perpendicular and the opposite side of 90° is called hypotenuse.
The given triangle is the right angled triangle. The three sides of a right angled triangle are called base, perpendicular and hypotenuse.
In the given figure base= 5 inches and perpendicular = 8 inches
By Pythagoras theorem at first we will find out the hypotenuse. Let the hypotenuse= c inches
For any right angled triangle,
(perpendicular)² +(base)²= (hypotenuse)²
⇒ (8)² + (5)² = (c)²
⇒ 64+ 25 = c²
⇒ c² =89
⇒ c= ±√89
As hypotenuse cannot be negative
So hypotenuse = √89 inches.
Now to find cosine of angle B that is cos B we will use the trigonometric function.
cos B= Adjacent side/ hypotenuse
= 5/√89
= 5√89/89 [ Multiplying the numerator and the denominator by √89 ]
Hence, cosine of angle B is 5√89/89.
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You have invested in a plot of land and have turned it into a campground
to rent out space to campers. You need to decide what to charge your
customers. You will charge somewhere between $40 and $150 per
campsite. If you charge dollars per day, it has been found that the
number, , of campsites rented per day can be modeled by the function
() = −0.01^2 − 2x + 600. How much should you charge to maximize your
revenue, ?
Answer:
Step-byeat -step explanation:
A rectangular room is 2 feet
longer than it is wide. Its area is 168 square feet. Set this up as a quadratic equation
Answer:
x = -14 and x = 12
Step-by-step explanation:
Let x be the width of the rectangular room in feet. Then, according to the problem, the length of the room is 2 feet longer than the width, or x + 2 feet.
The area of a rectangle is given by the formula A = length × width, so we have:
A = (x + 2) × x = x^2 + 2x
We are also given that the area of the room is 168 square feet, so we set A = 168 and get:
x^2 + 2x = 168
This is a quadratic equation in standard form, where 1x^2 + 2x - 168 = 0. We can solve this equation by factoring or using the quadratic formula. This will give us the value(s) of x, which represents the width of the room. Once we have the width, we can find the length by adding 2 feet to it.
And x is : -14 and 12
Aaron writes an algebraic expression to represent the product of 14 and the difference of 18 and 3x. What are the factors in this expression
The factors in this algebraic expression are:
14 And (18 - 3x)
How to find he factors in the algebraic expression ?An algebraic expression can also be written as a list of its constituent parts. Variables, constants, and operators are the components of an algebraic expression. Terms are separated from one another in an algebraic equation by the addition operation.
Algebraic Expressions can be factorized using many methods. The most common methods used for factorization of algebraic expressions are:
Factorization using common factors
Factorization by regrouping terms
Factorization using identities
The algebraic expression written by Aaron to represent the product of 14 and the difference of 18 and 3x is:
14 * (18 - 3x)
The factors in this expression are:
14
(18 - 3x)
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Select all the correct answers. If the measure of angle is , which statements are true? The measure of the reference angle is . The measure of the reference angle is . The measure of the reference angle is . 0 =9/2
The statement cos(theta) = √3/2 is correct.
Which statement is correct?Angles are the angles formed by 2 bisecting lines or surfaces at or near their intersection.
The following information has been provided:
The angle (theta) = [tex]\frac{2\pi }{3}[/tex] measurement has been given to us.
We must determine which propositions are true by determining the measure of angle (theta) = [tex]\frac{2\pi }{3}[/tex]
cos(theta) = [tex]\frac{\sqrt{3} }{2}[/tex]
= cos30
theta = 30
tan(theta)= [tex]-\sqrt{3} = tan(90 + 30)[/tex]
tan(theta) = tan120
theta = 120
sin(theta) = [tex]-\frac{1}{2}[/tex] = [tex]cos(90 + 30)[/tex]
sin(theta) = sin120
theta = 120
Therefore the correct statement is cos(theta) = √3/2
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Complete question:
The measure of angle(theta) Is 2pi/3, which statements are true?
cos(theta) = √3/2
The measure of the reference angle is 30°.
The measure of the reference angle is 45°.
The measure of the reference angle is 60°.
tan(theta) = -√3
sin(theta)=-1/2
Company A charges a $125 annual fee plus $7 per hour car share fee.
Company B charges $110 plus $10 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
OA. 9
B. 6
O C. 5
D. 11
I don't know this I've tried but I just don't know.
Answer:the median is Q2 aka 105
Step-by-step explanation:
Solve for m 5(20 - m) = 40
Answer: 12
Step-by-step explanation: distribute 5 to 20 and -m which gives you
100 - 5m = 40. Subtract 100 on both sides which gives you -5m = -60. Divide both sides by -5 which gives you m = 12
how does cot^2(x)-tan^2(x)=csc^2(x)-sec^2(x)
The proof of cot²(x) - tan²(x) = csc²(x) - sec²(x) is the help of trigonometry
identity and Pythagorean identity .
what is trigonometry identity ?A trigonometric identity is an equation that is true for all values of the variables in the equation, where the variables are trigonometric functions such as sine, cosine, tangent, cotangent, secant, or cosecant.
The Pythagorean identity is a fundamental trigonometric identity that relates the three basic trigonometric functions: sine, cosine, and tangent, in terms of the unit circle or right triangle.
Proof of cot²(x) - tan²(x) = csc²(x) - sec²(x)The identity you provided, cot²(x) - tan²(x) = csc²(x) - sec²(x), is a trigonometric identity that can be derived from the Pythagorean identity and the reciprocal identities. Here's one way to prove it:
Start with the Pythagorean identity:
sin²(x) + cos²(x) = 1
Divide both sides by sin²(x):
1 + cos²(x)/sin²(x) = 1/sin²(x)
Recall that cot(x) = cos(x)/sin(x) and tan(x) = sin(x)/cos(x):
1 + cot²(x) = csc²(x)
Subtracting sec²(x) from both sides:
cot²(x) - tan²(x) = csc²(x) - sec²(x)
Therefore, cot²(x) - tan²(x) = csc²(x) - sec²(x) is a valid trigonometric identity.
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A theatre contains 457 seats and the ticket prices for a recent play were $54 for adults and $17 for children. If the total proceeds were $14,984 for a sold-out matinee, how many of each type of ticket were sold?
Answer: 195 adult tickets and 262 children tickets
Step-by-step explanation:
Let a be adult tickets and c be children tickets.
We know there are 457 seats.
a + c = 457
We also know the cost of the tickets and how much money was made.
$54a + $17c = $14,984
Now, we have a system of equations we can use to solve.
a + c = 457
$54a + $17c = $14,984
Lastly, we will graph this system, see attached. The point of intersection, or where the lines intersect, is our answer.
195 adult tickets and 262 children tickets.
Answer:
Chidden tickets were 262 and adult tickets were 195 tickets
Step-by-step explanation:
Let x = the number of children tickets
Let y = the number of adult tickets.
x + y = 457
17x + 54y = 14984
Use substitution
x + y = 457 Solve for y
y = 457 -x Substitute 457 -x for y in the equation 17x + 54y = 14984
17x + 54y = 14984
17x + 54(457 -x) = 14984 Solve for x Distributer the 54
17x + 24678 - 54x = 14984 Combine like terms
-37x = -9694 Divide both sides by -37
x = 262
The number of children tickets.
x + y = 457 Substitute 262 for x and solve for y
262 + y = 457 Subtract 262 from both sides
y = 195
The number of adult tickets.
Helping in the name of Jesus.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time. After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments. Which statements about this study are true?
1. This study uses blocking.
2. This study uses blinding.
3. This study uses a control group.
4. This study uses a repeated measures design.
5. This study uses random sampling.
This study uses blocking: True. The study randomly assigns each child to one of the four treatment groups, which helps to control for individual differences that could affect the results.
This study uses blinding: It is not mentioned in the scenario whether the study uses blinding or not in individual.
This study uses a control group: True. The first group, with no screen time, serves as the control group. By comparing the results of the other groups to the control group, the scientists can see the effects of different amounts of screen time.
This study uses a repeated measures design: True. Each subject experiences each of the four treatments, so the study design is repeated measures.
This study uses random sampling: True. The study randomly selects group of 100 children for the experiment.
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Find the minimum or maximum of the function y=x^2-9
I will be finding the minimum of this parabolic function.
The function y = x^2 - 9 is a parabola that opens upwards, since the coefficient of the x^2 term is positive. Therefore, the minimum value of the function occurs at the vertex of the parabola.
To find the x-coordinate of the vertex, we can use the formula -b/2a, where the quadratic function is in the form y = ax^2 + bx + c. In this case, a = 1 and b = 0, so the x-coordinate of the vertex is -b/2a = -0/(2*1) = 0.
To find the corresponding y-coordinate of the vertex, we can substitute x = 0 into the function, which gives y = 0^2 - 9 = -9.
Therefore, the minimum value of the function y = x^2 - 9 is -9, which occurs at x = 0.
~~~Harsha~~~
The minimum point of this function is located at (0, -9).
Step-by-step explanation:1. Determine whether it's a minimum or maximum.So from plain sight we can tell we're looking for a maximum point, because the coefficient of x² is positive, it's 1. If the function was y=-x²-9, we would be looking at a minimum point.
2. About the minimum...The vertex if the exact point where a quadratic or any pair exponent function will start to either decay or increase, therefore, it will be the minimum or maximum point.
Formula for "x" value of vertex: [tex]\sf x_{Vertex} =\dfrac{-b}{2a}[/tex].
In this equation, a and b are coefficients extracted when the formula is expressed on its standard form.
Standard form of a quadratic equation: ax² + bx + c = 0
➔ You need to substitute the "y" by a "0", and the formula should look like this:
[tex]\sf 0=x^2-9[/tex]
➔ Reorganizing...
[tex]\sf x^2-9=0[/tex]
3. Extracting the coefficients.Let's expand the previous expression:
[tex]\sf x^2+0x_{} -9=0[/tex]
The coefficients are:
a= 1, beacuse "x²" is being multiplied by 1, which is implicit.
b= 0, because "x" doesn't really exist on the simplified equation.
c= -9.
4. Calculate the "x" and "y" locations of the vertex.Now let's calculate the "x" position of the vertex using the formula from step 2:
[tex]\sf x_{Vertex} =\dfrac{-b}{2a}=\dfrac{-(0)}{2(1)}=0[/tex]
Now, the "y" value can be obtained just by substituting "x" by 0 on the argument of the function:
[tex]\sf y=(0)^2-9\\ \\y=-9[/tex]
Therefore, the vertex, or minimum point of this function is located at (0, -9).
Check out the attached image to verify this information with the graph.
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You are trying to determine if a router you’re thinking of purchasing will give off a strong enough wifi signal to cover the area in your house. The router you have selected will cover an area of 850 ft^2.
The wi-fi router shall not be strong enough to cover the area of the house.
How to determine whether a wi-fi router can cover a given area
According to the statement, we must determine if a wi-fi router can cover all the area of a house, described by a rectangle. The area formula of rectangle is introduced below:
A = b · h
Where:
A - Area, in square feet.b - Base, in feet.h - Height, in feet.Now we proceed to determine the area of the house:
A = (50 ft) · (50 ft)
A = 2500 ft²
The wi-fi router shall not cover the entire area of the house.
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7. Which statement is NOT part of a debt-reduction plan? a. Lower debts with the highest interest rates. b. Slow or eliminate credit card spending c. Only pay the minimum amount when possible. d. Use an online debt management calculator.
Pattern A starts at 1 and uses the rule add 5." Pattern B starts at 28 and uses the rule "subtract 4."
What are the next four terms in each pattern?
Enter your answers in the boxes.
For the pattern A, the terms are 6, 11, 16 and 21
For the pattern B, the terms are 24, 20, 16, 12
How to determine the termsTo determine the consecutive terms of the sequence, we need to take note of the rule of each.
From the information given, we have that;
For the Pattern A
Each term is the previous term plus 5
This is represented as;
Pattern A = a + 5,
The first term = 1
Second term = 1 + 5 = 6
Third term = 6 + 5 = 11
Fourth term = 11 + 5 = 16
Fifth term = 16 + 5 = 21
For Pattern B = a - 4
Second term = 28 - 4 = 24
Third term = 24 - 4 = 20
Fourth term = 20 -4 = 16
Fifth term = 16 - 4 = 12
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determine the area of the shaded region of a wooden patch in a circular park if the radius of the circle is: a. 8m b. 12
Answer:
22.88
Step-by-step explanation:
O/360 * π r squared
90/360 * 8 squared
1/4 * π (64)
4 π
Next:
b*h/2
8*12/2 = 48
8π - 48
8π = 25.12
48-25.12 = 22.88
What is the linear equation for your line of best fit? What does the slope of this line mean? What does the y-intercept of this line mean? (It's scattered plot points)
Answer:
need better photos
Step-by-step explanation:
Answer: Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
Step-by-step explanation:
Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
evaluate the expression 8 - 12 - (-6)
Answer:
2
Step-by-step explanation:
elem algebra
I tried doing a question on my own, I didn't get it right :(
ANY HELP WILL BE GREAT, THANKSS
Answer:
the missing y coordinate is 2/5
Step-by-step explanation:
You are basically solving for y since you are missing the y coordinate
Since x=5 plug that in and you will get 5+5y=7
subtract 5 on both sides and you will get 5y=2
divide 5 on both sides and you will get 2/5
guys someone help me asap!!!! tell me all that apply for this!
The sequences that show that the two figures are similar, but not congruent, are:
Triangle MNO is translated 3 units to the right, and then dilated about the origin by a scale factor of 0.5, then translated 5 units down, and then reflected across the y-axis to obtain triangle M'NO'. Pentagon EFGHI is dilated about the origin by a scale factor of 2 to obtain pentagon E'F'G'H'I'. Triangle JKL is dilated about the origin by a scale factor of 3 to obtain triangle J'K'L.How to explain the sequenceThis sequence includes a dilation with a different scale factor for each figure and reflections, which preserve the shape of the figures but not their size or orientation.
In conclusion, the correct options are A and C
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Casey is going to deposit $500 in an account that earns 6% interest for 10 years. How much more interest will
he earn if the account earns an accual compound interest rather than annual simple interest?
The interest he earns in 10 years = $395.42.
What is compound interest?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest.
Here the Principal P = $500
Rate of interest= 6% = 6/100 = 0.06
Number of years t= 10 years.
Now using compound interest formula then,
=> Amount = [tex]P(1+r)^t[/tex]
=> Amount = 500[tex](1+0.06)^{10[/tex] = [tex]500\times1.06^{10[/tex]
=> Amount = $895.42.
Now interest = $895.42 - $500 = $395.42
Hence the interest he earns in 10 years = $395.42.
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A rectangle has a length of x + 4 cm and a width of 2x − 7 cm.
(a) If the perimeter is 36cm, what is the value of x?
(b) What is the area of this rectangle
Answer:
See below!
Step-by-step explanation:
Given data:Length = x + 4 cm
Width = 2x - 7 cm
Part a)Perimeter:
Sum of all sides of a shape is called perimeter.Perimeter of rectangle = 2(length) + 2(width)Put the given data.
36 = 2(x + 4) + 2(2x - 7)
Distribute36 = 2x + 8 + 4x - 14
Combine like terms36 = 2x + 4x + 8 - 14
36 = 6x - 6
Add 6 to both sides36 + 6 = 6x
42 = 6x
Divide both sides by 642/6 = x
7 = x
OR
x = 7Part b)Area of rectangle = length × widthArea = (x + 4)(2x - 7)
Put x = 7
Area = (7 + 4)(2(7) - 7)
Area = 11(14 - 7)
Area = 11(7)
Area = 77 cm²[tex]\rule[225]{225}{2}[/tex]
Answer: (a) x=7
(b) area of this rectangle = 77[tex]cm^{2}[/tex]
Step-by-step explanation:
(a) the perimeter of a rectangle = 2 * [ l + b ]
36 = 2 * [ (x + 4) + (2x - 7) ]
36 / 2 = x + 4 + 2x - 7
18 = 3x -3
18 + 3 = 3x
21 = 3x
x = 7
(b) the area of a rectangle = l * b
l = x + 4 = 11cm
b = 2x -7 = 7cm
therefore, 11cm * 7cm = 77[tex]cm^{2}[/tex]
HELP ME PLEASE! And I already did the first part I need help on the second. (Give me a full explanation NO DECIMALS! Just fractions.)
The amount of chalk that is greater is yellow.
Michelle is correct because more than 1/2 the chalk in the bucket is blue.
How to determine which amount of chalk is greater?In order to determine the amount of chalk that is greater between the amount of yellow chalk and amount of green chalk, we would have to find the difference between them as follows;
Difference = 2/6 - 3/12
Difference = (4 - 3)/12
Difference = 1/12 (positive value)
Similarly, we can determine the greater amount of chalk as follows;
2/6 × 2/2 = 4/12
4/12 > 3/12
Total number of chalks = 2/6 + 5/12 + 3/12
Total number of chalks = (4 + 5 + 3)/12
Total number of chalks = 12/12
Total number of yellow and green chalks = 2/6 + 3/12
Total number of yellow and green chalks = (4 + 3)/12
Total number of yellow and green chalks = 7/12 chalks.
1 - 7/12 = 5/12
7/12 - 1/2 = 6/12 (Michelle is correct).
Read more on fraction here: brainly.com/question/3030055
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