Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric that is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt

Answer:

The radius of the sphere is 36 centimeters.

Step-by-step explanation:

Given that the volume of a sphere is 62,208π cubic centimeters, to find the radius the following calculation must be performed, knowing that the formula to obtain the volume of a sphere is V = 4/3 π x radius³:

62,208 x 3.14 = 4/3 x 3.14 x X³

195,333.12 = 4/3 x 3.14 x X³

195,333.12 = 4.18666 x X³

195,333.12 / 4.18666 = X³

46.656 = X³

³√ 46,656 = X

36 = X

Therefore, the radius of the sphere is 36 centimeters.

Answer: I think 8?

Step-by-step explanation:

You might be adding the 6 so therefore maybe you do 6+2= 8 if the median was eqaul to 6.

If this isnt right, I'm sorry!

Answer: 1

The set is:

6 1 5 4 8 7 2 1 2 2

First: We get the median of the original set. To do this we change it from highest to lowest.

1 1 2 2 2 4 5 6 7 8

Then we take the middle number of this set which is the median

2 and 4 are the middle so the median is 3

The median of set 1 is 3

Second: We get the median of the set but with another 6 added

1 1 2 2 2 4 5 6 6 7 8

Take the middle number of this set which is the median

4

The median of set 2 is 4

From this we know the median increases by 1 if the number 6 is added!

Answer:

Is A.

Step-by-step explanation:

22 < 7x+57

7x+57>22

7x>-35

x>-5

Answer:

I think its

Step-by-step explanation:

left second one

Answer:

V=2688

Step-by-step explanation:

V = U * T * A * T

V= 24 * 4 * 7 * 4 = 2688

Answer:

Step-by-step explanation:

[tex]a_n=a_1\cdot r^{n-1}\\\\a_{12}=30\cdot 4^{12-1}\\\\a_{12}=30\cdot 4^{11}=15\cdot2\cdot2^{22}=15\cdot2^{23}[/tex]

Answer:

[tex]f(n) = 96 * 0.5^n[/tex]

Step-by-step explanation:

Given

[tex]f(3) = 12[/tex]

[tex]f(n) = 0.5 * f(n-1)[/tex]

Required

Write as an explicit function

When n = 3, we have:

[tex]f(3) = 12[/tex]

[tex]f(3) = 0.5 * f(3-1)[/tex]

[tex]f(3) = 0.5 * f(2)[/tex]

Substitute: [tex]f(3) = 12[/tex]

[tex]12 = 0.5 * f(2)[/tex]

Solve for f(2)

[tex]f(2) = 12/0.5[/tex]

[tex]f(2) = 24[/tex]

So, we have;

[tex]f(3) = 12[/tex]

[tex]f(2) = 24[/tex]

Since it is a geometric sequence, calculate the common ratio (r)

[tex]r = \frac{f(3)}{f(2)}[/tex]

[tex]r = \frac{12}{24}[/tex]

[tex]r = 0.5[/tex]

Calculate the first term using:

[tex]r = \frac{f(2)}{f(1)}[/tex]

Solve for f(1)

[tex]f(1) = \frac{f(2)}{r}[/tex]

[tex]f(1) = \frac{24}{0.5}[/tex]

[tex]f(1) = 48[/tex]

The explicit function is then calculated as:

[tex]f(n) = f(1) * r^{n-1[/tex] ----nth term of a gp

[tex]f(n) = 48 * 0.5^{n-1[/tex]

Split the exponent

[tex]f(n) = 48 * \frac{0.5^n}{0.5^1}[/tex]

[tex]f(n) = 48 * \frac{0.5^n}{0.5}[/tex]

[tex]f(n) = 96 * 0.5^n[/tex]

Answer: Area: 5808 Primiter: 308

Answer:

Answer: A-Area: 5808 Primiter: 308

B-Area is needed

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

w = 120 + 5(h - 30).  

So, if he works 35 hours, he will earn:

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

If he works 42 hours, he will earn:

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

I hope this helps!

Answer:

They are 6 feet apart.

Step-by-step explanation:

d = (√(x2-x1)^2 + (y2-y1)^2)

d = (√(-4-4)^2 + (4-(-2))^2)

d = (√0 + 36)

d = √36

d = 6

Answer:

6/8 , 12/16 , 48/64

Step-by-step explanation:

Answer:

7/2[tex]\pi[/tex]

Step-by-step explanation:

Answer:

7 2/24

Step-by-step explanation:

We can start by making the denominators the same (the bottom number)

1 1/4+5 5/6

1 6/24+ 5 20/24=7 2/24

Answer:

so what you would want to do is get your fraction into improper fractions and to do that you multiply the whole number by the denominator and add it to your numerator, once you do that you get 5/4, and 35/6, now we want to get common denominators, so we multiply 5/4, by 6/6, and 35/6 by 4/4 which would get us 30/24 and 140/24 then we add them and get 170/24 and then simplify, which gets you 85/12 and then put it into a mixed number which is 7 1/12

Step-by-step explanation:

Answer:

it would be 4.5

Step-by-step explanation:

basic explantion

step 1.    3+2 =5

step 2     5x5=25

step 3      25-16=9

step 4       9 divde by 2= 4.5

simplifyed it would be  25-16 ÷ 2

more deatialed explanation.

I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5.  hope this helped!

Answer In the diagram, a = 47 m and angle a measures. 49°. ... 71.6 m. Cos luod. Nost. I 10 hod. "tan (49) = 1/2 x=tan 249). 47 x 64.1. X A ... 2. In the triangle shown, determine LA to the nearest degree. A. 6.7 1B) 9.0 ... triangle. The slanted sides are both 12 inches long and the bottom of the pad is 8 inches long. 11. ... RM 7.2 cm.:

Step-by-step explanation:

Answer:

1695.6

Step-by-step explanation:

Answer:

2) -47, 33, -243, 907, -88

4) C & D

5) 30, 45, 0, -10

6) B

Answer:

1.)-47

33

-243

907

-88

2.)c, d

3.)Lighthouse=45

Answer:

2 : 3 is the correct answer

Step-by-step explanation:

happy to help :)

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

[tex]m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\[/tex]

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

[tex]m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25[/tex]

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

Answer:

2/5 < 7/10

I think this is it

Answer:

2/5 < 7/10

The least common denominator is 10 so if you do 5*2 = 10 and 2*2 = 4 then compare it to 7/10, it would be less than because 4/10 is not greater than 7/10.

Answer:

hi

Step-by-step explanation:

40= -10x+20

40-20= -10x

20= -10x

x=20/-10

x=-2

hope it helps

have a nice day

Answer: 3x+7

Step-by-step explanation:

Answer:

QUESTION:

answer 2x + 5 = 4x - 5

ANSWER:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 5

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

x = 5

Step-by-step explanation:

First you will need to add 5 to each side.

Then you need to subtract 2x to each side.

Lastly, you will need to divide each side by 2.

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius (half the diameter), and h = height. Now lets substitute what we know into this equation!

Since we are giving the diameter (14) we must divide by 2 to find the radius.

                         14 ÷ 2 = 7

Radius = 7

Height = 9

V = ?

Time to plug these values in!

V = π [tex]7^{2}[/tex] (9)

We have to distribute pi to 7 square that term and then multiply the value by 9.

V = 1385.44

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

8 and 2

Step-by-step explanation:

8 and 2 because y=5x +3 would be 5+3 which is 8 and y= 3x - 1 would be 3 - 1 which equals 2.

Answer:

D

Step-by-step explanation: