The length of e rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answer:
Step-by-step explanation:
Let the width be w. The length is then 3w (length is 3 times its width).
The formula for the perimeter is 2l + 2w (2 times the length + 2 times the width)
So, in our case we have 2(3w) + 2w = 72
6w + 2w = 72
8w = 72 divide both sides by 8
w = 9
So the length = 3w = 3 x 9 = 27
Double check: we have l = 27 and w= 9. (2 x 27) + (2 x 9) = 54 + 18 = 72 Yay!!!
me pueden ayudar por favor
Answer:
Speak english i can't understand.
Step-by-step explanation:
Given the function f(x) = 9 - X, evaluate f (4).
Help needed! (will mark as brainliest)
Answer:
d. 2x-5y=-5
Step-by-step explanation:
I checked my answers with the screenshots.
The standard form of the graph equation is as follows:
-2x + 5y = 5The standard form equation is represented as follows;
Standard form equation:Ax + By = Cwhere A, B and C are constant. x and y are variables.
using y = mx + b
where
m = slope = 2 / 5
b = y-intercept
Therefore,
1 = 2 / 5(0) + b
b = 1
Therefore,
y = 2 / 5 x + 1
In standard form, it will be as follows:
y - 2 / 5 x = 15y - 2x = 5-2x + 5y = 5learn more on standard form equation : https://brainly.com/question/11255686
Can someone help me with this please
Answer:
86°
Step-by-step explanation:
40 + x + 54 = 180
-> Move 40 and 54 to the other side by subtracting
x = 180-40-54
x = 86
Which model represent the factors of 4x2-9
Step-by-step explanation:
4x²-9
4x²+6x-6x-9
4x²+6x-6x-9
2x(2x+3)-3(2x+3)
2x(2x+3)-3(2x+3)
(2-3)(2x+3)
solution
(8x-3)(2x+3)
I need help plz no spam...
[tex](4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} )[/tex]
By using formula,
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} \: \: we \: get[/tex]
[tex](4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} ) \\ = (4 \sqrt{3)}^{2} - (3 \sqrt{2} ) ^{2} \\ = (4 \sqrt{3} \times 4 \sqrt{3} ) - (3 \sqrt{2} \times 3 \sqrt{2} ) \\ = (4 \times 4 \times \sqrt{3} \times \sqrt{3} ) - (3 \times 3 \times \sqrt{2} \times \sqrt{2} ) \\ = (16 \times 3) - (9 \times 2) \\ = 48 - 18 \\ = 30[/tex]
Answer:30
Rotate the point (-3,-4) around the origin
180 degrees. State the image of the point.
va
a) (-4,-3)
b) (-4,3)
I c) (4,-3)
d) (3,4 )
Answer please i need help
the liter is the metric base unit of measurement for
Answer:
Volume
Step-by-step explanation:
Finally, the basic metric unit of volume is the liter. A liter is slightly larger than a quart. The handle of a shovel is about 1 meter.
PLEASE HELP ME PLEASE I WILL GIVE U A LOT OF POINTS
HELP HELP i need clear explanation
9514 1404 393
Answer:
(x -3)/(x -1) and (x +2)/(x -3)
Step-by-step explanation:
If you want the product of two fractions to be a/b, then 'a' must be a factor in the numerator of one of them, and 'b' must be a factor in the denominator of one of them.
'a' and 'b' are already in the numerator and denominator of a/b, so we can choose the other fraction to be something that has a value of 1, such as c/c.
(a/b)(c/c) = (ac)/(bc) = a/b
The intermediate product (before we reduce the result) has a numerator of 'ac' and a denominator of 'bc'. We can split those into two parts however we like. For example, we can get the same result by multiplying ...
(a/c)(c/b) = (ac)/(bc) = a/b
So, a simple answer to your question could be ...
[tex]\left(\dfrac{x-3}{x-1}\right)\times\left(\dfrac{x+2}{x-3}\right)=\dfrac{x+2}{x-1}[/tex]
__
The idea is to multiply the given result by 1 in some form. That form can be as complicated as you like, and its factors can be grouped any way you like
Solve: (i) 3/x-1 + 1/x-3 = 4/x-2.
Answer:
[tex]\longrightarrow\sf{ \dfrac{3}{x - 1} + \dfrac{1}{x - 3} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ \dfrac{3(x - 3) + 1(x - 1)}{(x - 1) (x - 3)} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ \dfrac{3x - 9 + x - 1}{x(x - 3) - 1(x - 3)} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ \dfrac{3x + x - 9 - 1}{{x}^{2} - 3x - x + 3} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ \dfrac{4x - 10}{{x}^{2} - 4x + 3} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ (4x - 10) (x - 2) = 4({x}^{2} - 4x + 3)}[/tex]
[tex]\\ \longrightarrow\sf{4x ( x -2 ) - 10 (x - 2) = 4{x}^{2} - 16x + 12}[/tex]
[tex]\\ \longrightarrow\sf{4{x}^{2} - 8x - 10x + 20 = 4{x}^{2} - 16x + 12}[/tex]
4x² get cancelled on both sides .
[tex]\\ \longrightarrow\sf{ - 18x + 20 = - 16x + 12}[/tex]
[tex]\\ \longrightarrow\sf{ - 18x + 16x = 12 - 20}[/tex]
[tex]\\ \longrightarrow\sf{ -2x = - 8}[/tex]
[tex]\\ \longrightarrow\sf{ x = \dfrac{- 8}{-2}}[/tex]
[tex]\\ \longrightarrow\sf{ x = 4}[/tex]
Graph the following
y=3-4x
Answer correct and tell me the points to graph it on or show a picture of the graph, and ill give you the brainiest.
Answer:
Step-by-step explanation:
y = -4x +3
Y-intercept = 3
The slope is negative: - 4/1
4 down ( from y = 3) and one to the right or
4 up (from y=3) and 1 to the left.
(You only need 2 points to trace a line)
Help with 17,18,19,,20 and 21
Answer:
17. A positive slope moves upward on a graph from left to right. A negative slope moves downward on a graph from left to right.
18. Zero slope means that the line is horizontal. Just like the line that makes the top of a “Z” is horizontal. No slope means that the line is vertical.
19. Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
20. Yes, they did because 2/6 is equivalent to 1/3.
21. A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
22. What is the median of these
numbers?
2, 7, 3, 6, 9, 1, 4
Answer:
the median in that numbers is 6
Step-by-step explanation
their are total 7 number which is odd
so the formula is
median = ( n + 1 /2 )^th term
now,
→ ( 7 + 1 / 2 )
→ 8/2
→ 4th term
therefore, 4th term is the median and 4th term is 6 itself.
hope this answer helps you dear...take care and may u have a great day ahead!
Using the equation x squared minus c equals 0 , what value of c has 9 and -9 as solutions.
9514 1404 393
Answer:
c = 81
Step-by-step explanation:
The equation x² -c = 0 can be factored as ...
(x -√c)(x +√c) = 0
which has roots ±√c.
The roots are given as ±9, so we have ...
±9 = ±√c
c = (±9)² = 81
The value c = 81 makes the equation have ±9 as solutions.
Charlie's Computer Company charges $0.65 per pound to ship computers. Part A: Write an equation to determine the total cost, c, to ship p pounds of computers. Use your equation to determine the cost of shipping 2 pounds of computers. (6 points) Part B: If the company reduces the cost to ship computers by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of computers with the reduced cost. (4 points)
Answer:
Part A:
Equation: 0.65p=c
Answer: $1.30
Part B:
Equation: 0.05p=c
Answer: $0.10, or ten cents (if two pounds of computers where shipped at this reduced price)
Step-by-step explanation:
To find the total cost, first find the elements you will need. We know that we need to equal c, the cost, and we know that the pounds times 65 cents equals the cost.
0.65p=c
Now, to solve, plug in the amount of pounds.
0.65(2)=c
1.3=c
So the cost of shipping two pounds of computers is $1.30.
Now, to solve part b, we do the same as what we did in part a, except this time it only costs five cents per pound.
Make the equation.
0.05p=c
Also, at the top I put the extra, if two pounds were shipped at the reduced price just in case. But for the explantion to it, just plug to into the equation, then find the answer.
Part A: The equation for the total cost, c, to deliver p pounds is:
c = 0.65p.
The cost for shipping 2 pounds is $1.30.
Part B: The equation, after the reduction of $0.05 in the shipping of per pound is:
c = 0.6p.
What are equations?Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.
How to solve the question?In the question, we are informed that Charlie's Computer Company charges $0.65 per pound to ship computers.
Part A:-
We are asked to write an equation to determine the total cost, c, to ship p pounds of computers.
We know that the total cost equation is designed as:
Total cost = fixed cost + (per unit cost)*(number of units).
Thus, the required equation is:
c = 0 + 0.65p, {Since c is the total cost, the fixed cost is 0, the quantity of computers shipped is p pounds, and per pound cost of shipping is $0.65}
or, c = 0.65p.
The cost for shipping 2 pounds, can be calculated by substituting p = 2 in the above equation.
Thus, c = 0.65*2 = 1.30.
Thus, the cost of shipping 2 pounds is $1.30.
Part B:-
We are asked to write an equation for the total cost, c, to ship p pounds of computers, when the company reduces the cost to ship computers by $0.05 per pound.
Now, the unit cost of shipping one pound of computers is $0.65 - $0.05 = $0.60.
We know that the total cost equation is designed as:
Total cost = fixed cost + (per unit cost)*(number of units).
Thus, the required equation is:
c = 0 + 0.60p, {Since c is the total cost, the fixed cost is 0, the quantity of computers shipped is p pounds, and per pound cost of shipping is $0.60}
or, c = 0.60p.
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Which statement is true about the x-intercepts?
A) The x-intercept is 3.
B) The x-intercepts are –3 and –1.
C) The x-intercept is at (–1, 2).
D) There are no x-intercepts.
Answer:
The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis
Step-by-step explanation:
Answer: D. There are no x-intercepts
The first one is 3
In the figure BD||EG and the measure of angleACB=35 degree. What is the measure of angle GFH
A 35. B 55. C 135. D 145
Answer:
55
Step-by-step explanation:
...............................
976432 x 5 = _____-300=
Select the expression that is equivalent to (2x^2 +5)-5/2
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve :
[tex]{(2 {x}^{2} + 5) }^{ - \frac{5}{2} } [/tex][tex] \dfrac{1}{{(2 {x}^{2} + 5) }^{ \frac{5}{2} } } [/tex][tex] \dfrac{1}{ \sqrt{( 2{x}^{2} + 5) {}^{5} } } [/tex]therefore, the correct choice is :
AWho know trigonometry?
Answer:
me! whats the question?
Step-by-step explanation:
Which statement can be represented by the equation 18 divided by m = 7.2?
Answer:
2.5
Step-by-step explanation:
half of the apples in the basket are fuji. 1/3 are granny smith and the remaining 3 apples are pink lady. how many apples are in the basket?
Answer:
18
Step-by-step explanation:
1/2 = fuji 1/3 = smith
3/6 + 2/6 = 5/6 3 = 1/6 so 6 times 3 = 18 total apples
A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges' scores. The first three judges' scores were 83, 88, and 92. The figure skater made it to the next round.
What is the minimum score the fourth judge could have given?
Answer:
79
Step-by-step explanation:
the rule here is to add 4 but here minus the least
Find the solution of the system of equation 2x+8y=4
6x-y=13
Jack borrows $2,700 at a rate of 8.2% per year. How much simple interest will he owe if it takes 3 months to repay the loan? Round to the nearest cent.
Answer: $55.35
Step-by-step explanation:
The simple interest on $2700 at a rate of 8.2% per year for 3 months will be $55.35.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Given that,
Jack borrows $2,700 at a rate of 8.2% per year.
Principle amount P = 2700
Rate of interest = 8.2% per year
Rate of interest per month ⇒ 8.2/12 = 0.683%
The simple interest for the T time period is given by,
Interest = PRT/100
Interest = (2700 × 0.683 × 3)/100 = $55.35
Hence "The simple interest on $2700 at a rate of 8.2% per year for 3 months will be $55.35".
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What is the first step in constructing the angle bisector of angle A?
Answer:
D)
Step-by-step explanation:
from point A, draw an arc that intersects both sides of the angle
From point A, draw an arc that intersects both sides of the angles. Thus, the correct option is D.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
An angle bisector is a line or ray that divides an angle into two equal parts. The angle bisector divides the angle into two smaller angles that have the same measure.
Thus, the correct option is D.
More about the angled link is given below.
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The annual tuition and parent rating of 12 private schools is shown on the scatterplot. The schools are rated on a scale of 0 to 100.
Scatterplot with x axis labeled Tuition Price, US dollars going from 0 to 12,000 and y axis labeled Rating going from 0 to 100. Values at 3,435, 40; 3,884, 76; 4,436, 32; 4,464, 23; 5,782, 86; 5,931, 22; 5,978, 37; 6,305, 76; 7,922, 36; 9,147, 80; 9,315, 4; 9,642, 55.
Part A: Describe the association shown in the scatterplot. (4 points).
Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points)
Part C: Give an example of a school that is cost effective and rated highly by parents. (2 points)
We have drawn scatter diagram and given an example of a data point that affects the appropriateness of using a linear regression model and of a school that is cost effective and rated highly by parents.
What is scatter diagram ?The scatter diagram plots two sets of numerical data, one on each axis, to see if there is a link between them. The points will fall along a line or curve if the variables are correlated.
How to show the given data on scatterplot?We are using graphing calculator to show the points to make scatter diagram
Which data point that affects the appropriateness of using a linear regression model to fit all the data ?If a linear model is adequate, the histogram should be about normal, and the residuals scatterplot should have random scatter. The linear model is not adequate if we detect a curved connection in the residual plot.
How a school that is cost effective and rated highly by parents ?Parents can help with events and activities at school, as well as communicate with instructors. They can also be active at home in a variety of ways, including as assisting their children with homework and other obligations, and engaging in talks about educational principles and attitudes.
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