From the question, we were asked that how many 42 inches wide panels must be bolted together to create a 28 feet wall.
First let's covert the two measurement to same unit.
So, lets convert 42 inches into feet.
Recall, 1 foot will give 12 inches
42 inches will be:
42/12 = 3.5 feet
Therefore, the wide wall that must be bolted together to create a 28 feet wall is:
= 28/3.5
= 8 feet.
Find the inequality that creates the following graph
Answer:
|2x - 3| ≥ 1
Step-by-step explanation:
Since the absolute value function is always ≥ 0 we can conclude that
|2x - 3| ≥ 0 so we can eliminate choices 2 and 4
That leaves two possibilities:
|2x - 3| ≥ 1 and |2x - 3| ≤ 1
There are two ways to go about solving this
Pick a point in the given graph on each side of the segment marked in red and see which of the two inequalities both points satisfy
Two points which are on both segments are x = 0 and x = 1
Plug x = 0 into |2x - 3|
|2x - 3| at x = 0
=> | 2 ·0 - 3|
=> |0 - 3|
=> |-3|
= 3
Since 3 ≥ 1, point x = 0 satisfies |2x - 3| ≥ 1
But it does not satisfies |2x - 3| ≤ 1 since 3 is not less than or equal to 1
So the correct inequality is |2x - 3| ≥ 1
In anatomy, a student learned that the average resting heart rate is between 60 and 100 beats per minute. The student decided to record the heart rate of people over five minutes while waiting in line at the pharmacy. The dot plot shows the results.
Dot plot with 1 dot at 62, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, and 2 dots at 89
Which statement below best describes the shape of the distribution?
The data is roughly symmetrical distributed, with most values clustered from 68 to 80 beats per minute. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
The data is not symmetrically distributed, with most values clustered from 68 to 80 beats per minute. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
The data is skewed left, with fewer values on the left end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
The shape of the distribution for the given dot plot is as follows:
The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
What does a dot plot show?A dot plot shows the number of times that each measure appears in the data-set.
In the context of this problem, we have that from the given dot plot, the measures are as follows:
62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89.
The mean is the sum of all observations divided by the number of observations, hence, applying it's formula, it is given by:
74.55.
The median is the middle value of the data-set, the value of which 50% of the measures are greater and 50% are less. The data-set in this problem has 20 elements, hence the median is the mean of the 10th and the 11th elements, which are 72 and 75, respectively, hence:
Median = (72 + 75)/2 = 73.5.
The median is less than the median, hence the distribution is skewed to the right, which means that the third option is correct.
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Answer:
The data is not symmetrically distributed, with most values clustered from 68 to 80 beats per minute. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
Step-by-step explanation:
its not skewed right and this is the next one that makes sense
2 + 31 x 1/10 + 4 x 1/1000 is greater than, less than, or equal to 2.324?
Answer:
greater
Step-by-step explanation:
if it wasn't bidmas then the product would be 5.104 which is greater than 2.324
Find the value of 2y-9 given that -3y-2=4.
Simplify your answer as much as possible.
2y - 9 =
In linear equation, 4 is the Simplify your answer .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.2y-9 ............1
-3y-2=4 .............2
From equation (2)
- 3y = 4 + 2
- 3y = 6
y = 6/-3 ⇒ -2
value of y put in equation 2
-3y-2=4
- 3 * -2 - 2 = 4 ⇒ 6 - 2 ⇒ 4
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3 times the sum of a number and 5
SHOW WORK
Answer:
3(n +5)
Step-by-step explanation:
You want the math expression that means "three times the sum of a number and five."
SumA sum is represented using a plus sign. "A number" is represented using a variable. "x" is a variable commonly used for an unknown value. "n" can also be used to represent "a number."
The sum of a number and 5 will be ...
n + 5
TimesWe want an expression that is 3 times that sum, so we multiply it by 3:
3(n +5) . . . . . . 3 times the sum of a number and 5
__
Additional comment
Note that the expression above is not the same as 3n+5, which would represent "the sum of 3 times a number and 5".
If you answer these questions correctly you are really smart. What is 2+2*2, what is 3+3*3, what is 6+6*6.
The value of the numbers that are given will be:
1. 6
2. 12
3. 42
How to calculate the value?It should be noted that based on the information given, PEDMAS is important. This implies that multiplication will come first before addition. This will be illustrated thus:
1. 2 + 2 × 2
= 2 + 4
= 6.
2. 3 + 3 × 3
= 3 + 9
= 12
3. 6 + 6 × 6
= 6 + 36
= 42..
Therefore, it should be noted that we multiplied first before adding.
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7+4(1-8p)
I’m confused is it -32p+11 or 11-32p
Answer:
Either. They are both correct
Step-by-step explanation:
So 7+4(1-8p): 7+4-32p => 11-32p => -32p+11.
Answer:
11-32p
Step-by-step explanation:
The answer is 11-32p because your only distributing the 4 to the 1 and 8p.
hello, the question is in the picture :)
By cross multiplying the given equation, we have
[tex]6x=(x-2)(x+8)[/tex]By multiplying the right hand side, we get
[tex]6x=x^2+6x-16[/tex]Then, by subtracting 6x to both sides, we have
[tex]0=x^2-16[/tex]or equivalently,
[tex]x^2-16=0[/tex]Since the left hand side is a conjugate binomial, it can be expressed as
[tex]x^2-16=(x+4)(x-4)[/tex]Then, we have the equation
[tex](x+4)(x-4)=0[/tex]Therefore, the values of x that make the equation true are x= 4 and x= -4
if f(x) = 5x-7, then what is the solution to f(x) =4
The input value x when the output value f( x ) = 4 in the function f( x ) = 5x - 7 is 11/5.
What is the value of x when the output value f(x) = 4?A function is simply a relationship that maps one input to one output, each x-value can only have one y-value.
Given the data in the question;
f( x ) = 5x - 7f(x) = 4x = ?To determine the input value x when the output value f( x ) = 4, replace f( x ) by 4 in the function and solve for x.
f( x ) = 5x - 7
4 = 5x - 7
Collect like terms
4 + 7 = 5x
5x = 11
Divide both sides by 5
5x/5 = 11/5
x = 11/5
Therefore, the input value x is 11/5, this forms an ordered pair of ( 11/5, 4 ).
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Connor edits 34
pages in 8 hours. Complete the table using equivalent ratios
If Connor edits 34 pages in 8 hours. Using the equivalent ratios, the table has been completed.
The equivalent ratios are the ratios that has same value when we compare them. We can check two or more ratios and check whether they are equivalent or not.
Connor edits 34 pages in 8 hours
Number of pages he edits in 8 hours = 34 pages
Number of pages he edits in 1 hour = 34/8 = 17/4 pages
Number of pages he edits in 12 hours = (17/4)×12
= 51 pages
Complete the table
Hence, if Connor edits 34 pages in 8 hours, using the equivalent ratios, the table has been completed
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I need help I don’t know how to do this
x+2y=7
1. What two things must be known to write the
equation of a line?
2. Identify the slope of the line and the point that the
line pass through to write your equation. Use the
point-slope formula to write an equation of the line in
standard form.
3. Identify the slope of the line and the point that the
line pass through to write your equation. Use the
slope y-intercept form to write the equation of the
line.
4. What did you notice about the slope and the point in which the line passed through for both parts 2 and 3
Step-by-step explanation:
Your slope and your x and y intercept.
x + 2y =7
Divide through by 2, we have:
x/2 + 2y/2 = 7/2
x/2 + y = 7/2
y = 7/2 - x/2
In the form y = mx + c gives.
Where m is the slope.
.: The slope = -1
Can you please help me with this
Let's classify the angles.
3.The angles are alternate interior angles.
4.The
Indicate whether the following statement is
TRUE or FALSE. −17 is an integer
Answer:
TRUE
Step-by-step explanation:
an integer is a whole number from the set of negative, non-negative, positive and 0 numbers.
ex : -1, -2, -3, -4, -5, 0, 1, 2, 3, 4, 5
-17 is a negative whole number
so yes, -17 is an integer
write the quadratic equation whose roots are 4 and -2, and whose leading coefficient is 4.
(use the letter x to represent the variable)
The quadratic equation with roots 4 and -2 and leading coefficient 4 is;
⇒ 4x² - 8x - 32
What is Quadratic equation?
A quadratic equation is an algebraic equation of the second degree of x.
Given that;
Roots of a quadratic equation = 4 and -2
Leading coefficient = 4
Now, The quadratic equation whose roots 4 and -2 with leading coefficient is calculated as;
⇒ 4 ( x - 4) (x + 2)
Solve as;
= 4 (x - 4) (x + 2)
= 4 (x² + 2x - 4x - 8)
= 4 (x² - 2x - 8)
= 4x² - 8x - 32
Thus, The quadratic equation with roots 4 and -2 and leading coefficient 4 is;
⇒ 4x² - 8x - 32
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write and solve the inequality that represents -1/3 is > than or = to the product of -4/5 and a number
Answer:
[tex] - \frac{1}{3} \geqslant - \frac{4}{5} x[/tex]
[tex] \frac{1}{3} \leqslant \frac{4}{5} x[/tex]
[tex]5 \leqslant 12x[/tex]
[tex]12x \geqslant 5[/tex]
[tex]x \geqslant \frac{5}{12} [/tex]
What is the answer to this question
Given that tanθ = 3.2603 where π < θ < 3π/2
[tex]\begin{gathered} \text{sin}\theta\approx0.9560 \\ \cos \theta\approx0.2932 \end{gathered}[/tex][tex]\begin{gathered} \sin ^2\theta+\cos ^2\theta=1 \\ \text{where} \\ \tan \theta=\frac{\sin \theta}{\cos \theta} \end{gathered}[/tex]From the calculation the value of θ = 72.95, hence the correct the error by adding 180
because it dint dnt fall in the range of
[tex]\pi<\theta<\frac{3\pi}{2}[/tex]And to correct the error add 180 to their answer,
Hence the value of θ = 180 + 72.95 = 252.95 degree
11. Does the table show a proportional relationship?
If so, what is the value of y when x is 10?
X 5 6 7 8
Y 1 2/3 2 2 1/3 2 2/3
The value of y when x is 10 is 3[tex]\frac{1}{3}[/tex].
What is proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant. The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k. Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
Given Data
X 5 6 7 8
Y 1 2/3 2 2 1/3 2 2/3
Yes, the table shows proportional relationship.
Value of Y when X will be 10 is
x = 10
= 3[tex]\frac{1}{3}[/tex]
the value of y when x is 10 is 3[tex]\frac{1}{3}[/tex].
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Dilate point S by a scale factor of 1/2
The location of the image of point S is the midpoint of the line segment RS. A representation of the geometric system and the rigid transformation is shown in the image attached below.
How to find the coordinates of the image of point S by using a transformation rule
Herein we know the center of dilation and the location of point S, which must be dilated by a rigid transformation, that is, a transformation applied on the point such that its Euclidean distance is conserved. The operation is defined by the following equation:
RS' = k · RS
S'(x) - R(x) = k · S(x) - k · R(x)
Where k is the scale factor.
If we know that R(x) = 0, S(x) = 6 and k = 1 / 2, then the location of the point S' is:
S'(x) - 0 = (1 / 2) · 6 - 0
S'(x) = 3
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Give the equation of the circle centered at the origin and passing through the point (4, 0).
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: x² + y² = 16[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The distance between the centre and the point through which the circle is passing is equal to the radius of the circle.
so, let's use distance formula here :
[tex]\qquad \tt \rightarrow \: \sqrt{(y2 - y1) {}^{2} + (x2 - x1) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{(0 - 0) {}^{2} + (4 - 0) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{0 + (4) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{ {4}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: 4 \: \: units[/tex]
Now, let's write the equation of circle in standard form :
[tex]\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
h = x - coordinate of circle k = y - coordinate of circle r = radius of circle[tex]\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {4}^{2} [/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 16 [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
1) Find the measures of the following angles: a) 2x+250 3x-450 t b) e, I l l 12y by-30° g
a) the two angles are supplementary, then:
(3x - 45) + (2x + 25) = 180
(3x + 2x) + (-45 + 25) = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40
Then, the measure of the angles are:
3x - 45 = 3*40 - 45 = 75°
2x + 25 = 2*40 + 25 = 105°
b) the two angles are complementary, then:
(2y) + (6y - 30) = 90
(2y + 6y) - 30 = 90
8y = 90 + 30
8y = 120
y = 120/8
y = 15
Then, the measure of the angles are:
2y = 2*15 = 30°
6y - 30 = 6*15 - 30 = 60°
c) the two angles are vertical angles, then they are congruent, that is,
2z + 7 = 5z - 23
7 + 23 = 5z - 2z
30 = 3z
30/3 = z
10 = z
Then, the measure of the angles are:
2z + 7 = 2*10 + 7 = 27°
5z - 23 = 5*10 - 23 = 27°
d) the two angles are alternative exterior angles, then they are congruent, that is,
4x - 5 = 3x + 15
4x - 3x = 15 + 5
x = 20
Then, the measure of the angles are:
4x - 5 = 4*20 - 5 = 75°
3x + 15 = 3*20 + 15 = 75°
Norman buys a new car for $21,500. The simple interest rate is 4.2% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Round your answer to the nearest dollar and do not round until the final answer.
The total amount that must be repaid will be $26,015.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
A = P + (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
For $21,500, Norman buys a brand-new vehicle. The loan amount (plus simple interest) must be repaid in full within five years, and the simple interest rate is 4.2%.
The total amount that must be repaid will be given as,
A = $21,500 + ($21,500 x 4.2 x 5)/100
A = $21,500 + $4,515
A = $26,015
The total amount that must be repaid will be $26,015.
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Find the roots and the vertex of the quadratic on a calculator. Round all values to 3
decimal places (if necessary).
y=-x² + 6x + 72
A motorboat travels 282 kilometers in 6 hours going upstream. It travels 402 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Let,
B = the speed of the boat in still water
S = the speed of the stream
Use the equation for distance.
Rate * Time = Distance
Upstream:
(B-S)6 = 282
Downstream:
(B+S)6 = 402
Simply first:
(B-S)6 = 282
(B-S) = 282/6
B-S=47
(B+S)6 = 402
(B+S) = 402/6
B+S=67
Solve by elimination. Add the two equations.
B-S=47
+ B+S=67
2B = 114
B = 114/2
B = 57 km/hr (the speed of the boat in still water)
Substitute this into either equation and solve for S.
B+S=67
57 + S = 67
S = 67 - 57
S = 10 km/hr (the speed of the stream)
Please help me I’m miserable because I was sick.It’s 2:00AM and this is due at 8 somebody please help me
Answer:
see explanation
Step-by-step explanation:
(a)
the 2 angles are same- side interior angles and are supplementary.
(c)
since they are supplementary , they sum to 180° , that is
6x + 14 + 10x - 10 = 180
16x + 4 = 180 ( subtract 4 from both sides )
16x = 176 ( divide both sides by 16 )
x = 11
(d)
then
6x + 14 = 6(11) + 14 = 66 + 14 = 80
10x - 10 = 10(11) - 10 = 110 - 10 = 100
note 80 + 100 = 180 ( supplementary angles )
pls help me with this
When solving an inequality, treat it like an equal sign while solving.
y - 4 ≤ -13
y - 4 + 4 ≤ -13 + 4
y ≤ -9
David requires at least $250 to hold his birthday party. If David can save $43 a month, how many months will he need to save to be able to afford his birthday party?
a. Write an inequality that describes this situation.
b. Solve the inequality. Show all your work.
c. Write your answer in a complete sentence.
Answer:
Step-by-step explanation:
Let David will need m months to save to able to afford his birthday party.
Then 43m>=250 that is m>=5.814 .
But since months are whole numbers
So We take m>=6.
He will need at least 6 months to save to able to afford his birthday party.
The answer is 6 months .
Write the following sentence in algebraic language:Number k is 4/5 of the number t.
To write the sentence:
Number k is 4/5 of the number t in algebraic language, we can proceed as follows:
[tex]k=\frac{4}{5}t[/tex]We need to express that k is equal to the four-fifths of t.
Then, the answer is k = (4/5)*t.
Does anybody know how to answer this to?
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Question 3(Multiple Choice Worth 2 points)
(Three-Column Tables LC)
PART 2
The data below shows the ratio of brown to green crayons in four kindergarten classrooms.
12 to 20
10 to 25
14 to 35
30 to 75
Which table below correctly shows these ratios in a three-column table?
Brown 20 25 35 75
Green 12 10 14 30
Total 32 35 49 105
Brown 12 10 14 75
Green 20 25 35 30
Total 30 35 44 105
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
Brown 12 25 14 30
Green 20 10 35 75
Total 42 35 49 100
Using proportional relationships, it is found that:
They will walk 12 laps and run 20 laps for a total of 32 miles.The correct option for the second problem is:Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
What is a direct proportional relationship?In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
For the first question, we have that out of a total distance of 8 miles, they:
Walk 3/8 of the distance.Run 5/8 of the distance.Hence the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.For a total distance of 32 miles, the distances walked and ran are given as follows:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.For the second question, we have that the table has to following the given ratios of the first row to the second row, with the third row being the sum of the first two rows, hence the third table is correct.
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Kaj needs to order some new supplies for the restaurant where she works. The restaurant needs at least 736 knives. There are currently 155 knives. If each set on sale contains 12 knives, what is the minimum number of sets of knives Kaj should buy?
By using division, when the restaurant needs at least 736 knives and there are currently 155 knives, if each set on sale contains 12 knives then he minimum number of sets of knives Kaj should buy is 49 sets
The total number of knife that restaurant needs = 736 knives
Number of knives that restaurant has = 155 knives
The number of knife that he want to buy = 736-155
= 581
Number of knives on one set = 12
To find the number of set he wants to buy, we have to use division
Number of sets he wants to buy = 581/12
= 48.41
≈49 sets
Hence, by using division, when the restaurant needs at least 736 knives and there are currently 155 knives, if each set on sale contains 12 knives then he minimum number of sets of knives Kaj should buy is 49 sets
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