Mathematics Middle School

½ of the length of rope A is equal to 3/5 of the length of rope B. Rope A is 42cm longer than rope B. How long is rope A? ​

Answers

Answer 1

Answer: A = x^2/16 + (5 - x/4)^2 > 20.5

Hope this helped.

Related Questions

The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.

Answers

______________________________

Hey!!

Solution,

Area= 12 ft^2

height= 3 ft

Now,

Area=b*h

or, 12=b*3

or,b=12/3

b=4 ft.

The value of base is 4 ft.

hope it helps

____________________________

what is the inverse of the function f(x)= 19/x³

Answers

f-1(x) = ∛(19/x).
Step-by-step explanation:
Let y = 19/x^3
y x^3 = 19
x^3 = 19/y
x = ∛(19/y)
The inverse is therefore
f-1(x) = ∛(19/x).

if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 6 hours a day ?

Answers

Answer:

6 days

Step-by-step explanation:

5 days, 3 hours and 45min

please help i’ll give brainliest !

Answers

Answer:

1: (ab)^3

2: 3m^2n^5

3: 15y^3x^7

4: 8s^5r^7

5: 6q^3p^5

Step-by-step explanation:

sorry but fot the explanation, it would take me 10 years to write but you can trust me with these answers

1.) (ab)^3
2.) 3m^2 n^5
3.)15x^7 y^3
4.) 8s^5 r^7
5.) 6p^5 q^3



Explanation:

For all the questions multiply the base numbers, if there are any. And add the exponent numbers. For example if the question is, (x^2)(x^4) add 2 and 4 to get 6. If there is more than one letter only add the like exponents with the same letter. For example, (x^2 y^2)(x^4 y^3) add 2+4=6 and 2+3=5, which means the final answer would be x^6 y^5

A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 Centimeters cubed. What is the area of the base of the briefcase?
243.75 centimeters squared
487.5 centimeters squared
2,437.5 centimeters squared
4,865 centimeters squared

Answers

Answer:

Step-by-step explanation:

the correct question is

A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 cm³. What is the area of the base of the briefcase?

we know that

volume of a rectangular prism=area of the base*height

volume=4875 cm³

h=10 cm

area of the base=volume/height

area of the base=4875/10-----> 487.5 cm²

the answer is

the area of the base is 487.5 cm³

Answer:

487.5 cm³

Step-by-step explanation:

1
0 5 5 8
2
2 5 8
3
5 6
1 | O means 10
Match the stem-and-leaf plot to the correct set of data.
A. 10, 15, 15, 18, 22, 25, 28, 35, 36
B. 0,1,3,5,6,8
C. 1.0, 1.5, 1.5, 1.8, 2.2, 2.5, 2.8, 3.5, 3.6
D. 1.0558, 2.258, 3.56​

Answers

Answer:

A. 10, 15, 15, 18, 22, 25, 28, 35, 36

Step-by-step explanation:

Stem and leaf plot

1    |     0 5 5 8

2   |     2 5 8

3   |    5 6

Example : 1 | 0 means 10

So, considering the examples :

1    |     0 5 5 8

10,15,15,15,18

2   |     2 5 8

22,25,28

3   |    5 6

35,36

So, the data set is 10,15,15,15,18,22,25,28,35,36

So, Option A is true

Write as a mixed number 5.06

Answers

Answer:

5[tex]\frac{3}{50}[/tex]

Step-by-step explanation:

0.06 = 6/100 = 3/50

Answer:

5 [tex]\frac{3}{50}[/tex]

Step-by-step explanation:

If y is the number of yellow cars which variable expression represents the phrase below? The sum of the number of yellow cars and 9 red cars

Answers

Answer:

D.   y+9

Step-by-step explanation:

Variable y is the number of yellow cars. There are 9 red cars.

So, find the sum, which means we will add y and 9. (We don't know the number of yellow cars)

Answer: y+9

Find the value of x. If necessary, round to the nearest tenth

Answers

Answer:

8

Step-by-step explanation:

→ Use trigonometry to find x, we have no hypotenuse so we utilise the TOA formula

TOA = Tan = Opposite ÷ Adjacent

→ The opposite of the triangle is 8√3 and we want to find the adjacent of this triangle so we rearrange

Opposite ÷ Tan

→ Substitute in the values

8√3 ÷ tan(60) = 8

I need help with this guys

Answers

Answer:

25:53

Step-by-step explanation:

75:159 have a common factor of 3

75/3=25

159/3=53

What is the slope of the line represented by the equation y + 3 = -4(x - 5)?

Answers

Answer:

-4

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

Where m is the slope and (x1,y1) is a point on the line

y + 3 = -4(x - 5)

The slope is -4

HLP ! HLP ! HLP ! Last one

Answers

It would be the first one.

I converted each equation into the form y =\<\> Mx+b to find the slope and y intercept.
We know that the slope will be positive since the line is positive linear. We also know that the y intercept is 3, since the line crosses the y axis at 3.
Since the shaded part is above the line, the sign used will be this one: >
So therefore it’s the first one....

I need help with this

Answers

X1,Y1 =(-1,6)
X2,Y1=(2,-3)

This list shows the number of years that 99 U.S. Supreme Court Justices served. 0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31 What number of years is the mode the Supreme Court justices served? a. 20 c. 23 b. 15 d. 5

Answers

Answer:

5

Step-by-step explanation:

Answer:

The answer is: D.)5

Step-by-step explanation:

I got it right on edge2021

Sydney bikes 32 miles in 2 hours and 64 miles in 4 hours. He bikes at a constant rate. Which function gives the distance d that he travels in t hours?

A. d= 64 t
B. d= 32 t
C. d= 16 t
D. d = 8 t

Answers

Answer:

C. d = 16t

Step-by-step explanation:

Since she is biking at a constant rate, then you would just have to divide 32 by 2 to get 16, which would be the speed Sydney would ride in the matter of one hour. So for how many hours she bikes, multiplied by 16, would be the distance that she travels in said time.

Find the volume of the figure below. Round to the nearest tenth.

Answers

Answer:

The volume of the figure given is:

3057,57 cm^3

Step-by-step explanation:

To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.

Volume of the cylinder.

The formula to find the volume of a cylinder is:

Volume of a cylinder = PI * r^2 * h

Where:

PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).

r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)

h = height (in this case is 7 cm too, you can find these values in the figure given)

Now we must replace the values:

Volume of a cylinder = PI * r^2 * h Volume of a cylinder = PI * (7 cm)^2 * 7 cm Volume of a cylinder = 1077,57 cm^3 approximately.

Volume of the rectangular prism.

The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:

Volume of a rectangular prism = width * length * height.

When we replace the values given in the figure:

Volume of a rectangular prism = 11 cm * 20 cm * 9 cm  Volume of a rectangular prism = 1980 cm^3

At the last, we add the two volumes found:

Volume of the figure = 1077,57 cm^3 + 1980 cm^3 Volume of figure = 3057,57 cm^3

Solve this inequality.
-5x + 7 > 42
A. x> 245
B. x < -175
C. x > 7
D. x < -7​

Answers

Answer:

x < -7

Step-by-step explanation:

-5x + 7 > 42

Subtract 7 from each side

-5x + 7-7 > 42-7

-5x > 35

Divide each side by -5, remembering to flip the inequality

-5x/-5 <35/-5

x < -7

i need 29 part b and c please help!

Answers

Answer:

$1.50

Step-by-step explanation:

29 part c

3÷2= 1.50

3 is the cost

and 2 is the cups

for 3 drinks it would cost $1.50

Me. Parsons wants to build a new banister for the staircase shown. If the rise of the stairs of a building is 5 feet and the run is 12 feet, what will be the length of the new banister?

I need this to be explained

Answers

This is the answer for your question hope it is help ful

There are 30 dogs at the park. 56 of the dogs are large.

Which method is a way to find the number of large dogs at the park?

Answers

Answer:

30-56

Step-by-step explanation:

It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].

Solve the equation using the Quadratic Formula: *

x2 – 3x + 3 = 5x + 1

Answers

Answer:

please mark brainly

Step-by-step explanation:

Answer:

Exact form : x = 4 ± √14

Decimal form : x 7.74165738..., 0.25834261...

                     

Step-by-step explanation:

I hope this helps you out. ☺

The table below shows the price of movie tickets. Which equation can be used to find the price, p, of t tickets?

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

can someone please help me with this question ?

Answers

Answer:

Yes, because it passes the vertical line test

Step-by-step explanation:

A function has one output for each input.  This is called a one to one correspondent.  This is shown by the vertical line test

This graph passes the vertical line test and is therefore a function

Answer:

D

Step-by-step explanation:

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

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Example: The first table is a function because each input value has only 1 output value, but the second table has more that one output value per input.  (View Attached Picture Below)

The input value 4 in Table A has only 1 output value, 20. But in Table B, the input value for 4 has 2 output values, 16 and 17. So Table A is a function, while Table B is not.

How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x. Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x. Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x. Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answers

Answer:

D- Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation: I did the test. Stay safe and have a good one!

Answer:

what the first person said "D"

Step-by-step explanation:

For the graph, locate the x-intercept and y-intercept.
x-intercept = -4, 4, -8, or 8
y-intercept = -4, 4, -8, or 8

Answers

x-intercept = -4
y-intercept = -8

Answer:

The x-intercept is at  

✔ (6, 0)

The y-intercept is at  

✔ (0,-2)

Step-by-step explanation:

this is for the second question of this problem

8x + 9y = 9 3x – 5y = 20 a. (3.36, –1.99) c. (0, –1.99) b. (–1.11, 2.79) d. (3.36, 2.79)

Answers

Answer:

x = 225/67 , y = -133/67 or decimal x≈3.3582 and y≈-1.9851, thus a. is the answer rounded.

Step-by-step explanation:

Solve the following system:

{8 x + 9 y = 9 | (equation 1)

3 x - 5 y = 20 | (equation 2)

Subtract 3/8 × (equation 1) from equation 2:

{8 x + 9 y = 9 | (equation 1)

0 x - (67 y)/8 = 133/8 | (equation 2)

Multiply equation 2 by 8:

{8 x + 9 y = 9 | (equation 1)

0 x - 67 y = 133 | (equation 2)

Divide equation 2 by -67:

{8 x + 9 y = 9 | (equation 1)

0 x+y = -133/67 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{8 x+0 y = 1800/67 | (equation 1)

0 x+y = -133/67 | (equation 2)

Divide equation 1 by 8:

{x+0 y = 225/67 | (equation 1)

0 x+y = -133/67 | (equation 2)

Collect results:

Answer: {x = 225/67 , y = -133/67

Michael has a home-based business putting on children's parties. He charges $45 to design the party and then $7.50 per child . Write a function rule ( equation) that relates the total cost of the party to the number of children n

Answers

Answer:

45 + ( 7.50*x)

Step-by-step explanation:

Answer:

I believe the answer is: [tex]f(x)=45+7.50x[/tex]

Step-by-step explanation:

45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.

Use the distributive property to write the expression without parentheses. Then simplify the​ result, if possible.
1/3(6x+23)+1/3

Answers

please see the attached picture

hope it helps

good luck on your assignment

Find the area of the figure.

Answers

Answer:

First find the area of the rectangle.

length x width = area

160 x 20 = 3200 area of rectangle

150 - 20 = 130

160 - 110 = 50

length x width / 2 = area of triangle

130 x 50 = 6500 / 2 = 3250

3200+3250=6450 square meters

Hope this helps

Step-by-step explanation:

What is 14% of 8.5? Round to the nearest hundredth (if necessary).

Answers

Answer:

1.19

Step-by-step explanation:

Hope this helps :) I try to just get straight to the point so sorry for no work

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