A rectangular prism is made of 81 unit cubes. The prism is 9 unit cubes long.
Choose two sets of numbers that could be the width and the height of the rectangular prism.

Answer:

16 years

Step-by-step explanation:

Given data

For the first tree

let the expression for the height be

y=4+x--------------1

where y= the total height

          4= the initial height

          x= the number of years

For the second tree, the expression is

y=12+0.5x-------------2

Equate 1 and 2

4+x=12+0.5x

x-0.5x=12-4

0.5x= 8

x= 8/0.5

x=16

Hence it will take 16 years for both trees to have the same height

Answer:

y=18 x=15

Step-by-step explanation:

1.

multiplyboth sides by 3

2(x-6)=18

divide both sides by 2

x-6= 9

add 6 on both sides

x=15

2.

add 6 on both sides

2/3y= 12

multiply both sides by 3

2y=36

divide both sides by 2

y=18

Answer:  Out of £750 and 3 bums

Caroline = 225

Bridget = 225 * 3 = 675

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

We have equations:

Substitute s with b and b with c as above into first equation:

Find b:

Bridget gets £228

Answer: $20,000

Step-by-step explanation:

Given

Interest decreases from 3.75% to 3.5% in a year

This change in the rate of interest brings a yield of 50$

Earlier interest was

[tex]S.I_e=\dfrac{P\times 3.75\times 1}{100}[/tex]

Now, interest is

[tex]S.I._n=\dfrac{P\times 3.5\times 1}{100}[/tex]

change gives 50$ i.e.

[tex]\Rightarrow \dfrac{P\times 3.75\times 1}{100}-\dfrac{P\times 3.5\times 1}{100}=50\\\\\Rightarrow \dfrac{P\times (3.75-3.5)\times 1}{100}=50\\\\\Rightarrow P=\dfrac{50\times 100}{0.25}=\$20,000[/tex]

Answer:

1)The surface area is the sum of the lateral area and the base area.

3)The lateral area is the area of the curved surface of the cone.

4)The lateral area can be found using the equation LA = Pirl.

Step-by-step explanation:

i just did this on<:))

hope thisd helped, good luck <3

Answer:

+4

Step-by-step explanation:

-5 - (-9)

-5 + 9

4

Answer:

4

Hope this helped and if I'm wrong sorry

Answer:

25 is the answer

for proof see the pic

first divide it by 11 then and when you get the numerator as 100 and denominator as 4 divide it by 2

So as to get numerator as 50 and denominator as 2 .

Later, Divide it by 2 and hence, your answer is 25.....;)

Answer:

B: 80

Step-by-step explanation:

Answer:

13x

Step-by-step explanation:

6x + 7x = 13x

hope this helps

Answer:

(6 + 7) x can be written as

6x + 7x

Answer:

y = 3

Step-by-step explanation:

Answer:

y= 3

Step-by-step explanation:

Answer:

I believe its 66

Step-by-step explanation:

55×20%=11

55+11=66

Answer:

x=9 is not the solution to the inequality.

Step-by-step explanation:

10 is not greater than 10

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 240 mangoes

Explanation:

1/5 + 0.75 = .95 = 95%

5% = 12

50% = 120

100% = 240

I hope this helped!

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- Zack Slocum

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Answer:

240

Step-by-step explanation:

1/5

0.75 = 3/4

1/5 + 3/4 = 19/ 20

1 - 19/20 = 1/20

therefore 12 mango equal 1/20

12 × 20 = 240

12/240 is the same as 1/20

Answer:

62.5 miles per hour

Step-by-step explanation:

Answer:62.5 miles an hour

Step-by-step explanation: You would divide 250 by 4.

Step-by-step explanation:

4x -20 + 3x +12 = 90

7x -8 = 90

7x = 98

x = 14

Angle F: 4(14) -20 = 36

Angle E: 3(14)+12= 54

Angle G : 90

Answer:

6,4

Step-by-step explanation:

Answer:

y= -3x+ 18

Step-by-step explanation:

hope it helps :)))))

Answer

11.5 ft

Step-by-step explanation:

Perimeter of rectangle:2(l+w)

l :1/4 ft w:11/2 ft

2(1/4+11/2)=11.5

Step-by-step explanation:

11/8 is the answer.

( I am not sure about my answer so I am extremely sorry:/ )

Answer:

Average time for West Middle was maximum.

Step-by-step explanation:

Average time for a track meet for schools = [tex]\frac{\text{Time}}{\text{Distance}}[/tex]

For Eastbay Middle,

Average time per mile = [tex]\frac{42}{7}[/tex]

                                     = 6 minutes per mile

For Northwest Middle,

Average time = [tex]\frac{25}{5}[/tex]

                       = 5 minutes per mile

For South Central Middle,

Average time = [tex]\frac{28}{4}[/tex]

                       = 7 minutes per mile

For West Middle,

Average time = [tex]\frac{48}{6}[/tex]

                       = 8 minutes per mile

Therefore, average time for West Middle (8 minutes per minute) was maximum.

Answer:

of triangle =12base×height

Area of triangle =2x2−11x+15

base =2x−5

Plugging in the given;

2x2−11x+15=12(2x−5)×height

2x2−11x+15=2x−52×height

2x2−11x+151=2x−52×height

2(2x2−11x+15)=(2x−5)×height

4x2−22x+30=(2x−5)×height

4x2−22x+302x−5=height

Resolving the quadratic equation;

(4x2−22x+30)

Simplifying;

4x

Answer:

2x-6

Step-by-step explanation:

height : 2(2x^2-11x+15)/(2x-5)

(4x^2-22x+30)/(2x-5)

Δ/4 = 121 - 120 = 1

x1 = (11+1)/4 = 3

x2 = (11-1)/ 4 = 5/2

4(x-5/2)(x-3)

(4x-10)(x-3)/(2x-5)

2(2x-5)(x-3)/(2x-5)

2x-6

Proof

(2x-6)(2x-5)/2

2(x-3)(2x-5)/2

2x^2-5x-6x+15

2x^2-11x + 15

Answer:

The equation represents a linear function because the equation has two variables, x and y.

Step-by-step explanation:

if im wrong let me know mark brainlist plz

Answer:

the answer is c

Step-by-step explanation:

Answer: The probability that at least one of the envelopes is red is 1/9 (simplified) or 9/81.

Step-by-step explanation:

There are a total of 9 envelopes. If two are selected at random with replacement the probability for both envelopes is 3 / 9 or 1/3. Since there are two you would do 1/3 * 1/3 to get 1/9 or 3/9 * 3/9 to get 9/81.

Answer:

The slope is 3

Step-by-step explanation:

m = rise/run

m = (y2 - y1)/(x2-x1)

points: (0,-5), (1,-2)

m = ((-5) - (-2))/ ((0) - (1))

m = (-5 + 2)/ (-1)

m = -3/-1

m = 3

Answer:

The answer is 1475 have a nice day! <3

Answer:

The width would be 12.5 feet.

Step-by-step explanation:

On a square all the sides are the same to the height, length, and width are all 12.5 feet.

Answer:

y=8-6x

Step-by-step explanation:

Answer:

y=0

x=4/3

Step-by-step explanation:

6x+y=8

x =8-y/6

substitute 8-y/6 in second equation

42*8-y/6 +7y=56

7(8-y) +7y=56

56-y+ 7y=56

-y+ 7y=0

6y=0

y=0

6x+y=8

6x+0=8

x=8/6

x=4/3