The figure below shows a rectangular prism and a cube:

A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch.

How many such cubes are required to completely pack the prism without any gap or overlap?
choices:
288
576
1,152
1,636

[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]

Answer:

x= 3/2

Step-by-step explanation:

4x+7=6x+4

Step 1: Subtract 6x from both sides.

4x+7−6x=6x+4−6x

−2x+7=4

Step 2: Subtract 7 from both sides.

−2x+7−7=4−7

−2x=−3

Step 3: Divide both sides by -2.

-2x=-3

-2    -2

=

3/2

Answer:

689/1000

hope this helped

Step-by-step explanation:

es el número 4[-3.9,2] esta es la respuesta

Answer:

sine 70 = opposite / hypotenuse

sine 70 = 12 / x

x = 12 / sine 70

x = 12 / 0.93969

x = 12.7701688855 cm

x = 12.8 cm (rounded to nearest tenth.

Step-by-step explanation:

Answer:

Subtract 2x from each side, Subtraction Property

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

To solve this question we will be using BIDMAS.

This stands for, Brackets, indices, division, multiplication, addition and subtraction.

As brackets is first, we need to do 5+4, to get 9.

This gives us 26-9-20 divide 4

Next is division so we do 20 divide by 4, to get 5.

This gives us 29-9-5

So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.

Answer:

Step-by-step explanation:

The numbers in the fraction cannot be reduced to create a simplified fraction. Therefore there are 3 ways to write this answer ...

1) [tex]\frac{534}{43}[/tex]

2) 12[tex]\frac{18}{43}[/tex]

3) 12.41861

Answer:

Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Perimeter of an equilateral triangle = 14.4 cm

As we know,

Perimeter of an equilateral triangle = 3 × sides (s) = 3s

Therefore,

By the problem,

=> 3s = 14.4 cm

[tex] = > \frac{3s}{3} = \frac{14.4}{3} [/tex]

=> s = 4.8 cm

Hence,

The required side of the given equilateral triangle is 4.8cm(Ans)

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

the answer of the question is 4

Answer:

I think it is 1/2 because it goes up 1 over 2

Answer:

B)   10/15 = 15/22.5

Step-by-step explanation:

For the two triangles, proportions that involve ratios of the corresponding sides are true.

Step-by-step explanation:

I have explained that in the sheet

Answer:

x = 5/3 or 1.67 and y= 2.5 or 5/2

Step-by-step explanation:

Firstly to find the x intercept make y= 0 meaning put zero at where ever you find y to help eliminate the y

so

3x + 2y =5

3× + 2 (0)=5

3×=5

×=5/3 or 1.67

Secondly for the y intercept make x = 0 meaning put zero at where ever you find x to help eliminate the x leaving you with y

3x + 2y =5

3 (0) + 2y = 5

2y=5

y= 5/2 or 2.5

Answer:

three and seventy-five hundredths or three point seven five

Step-by-step explanation:

Answer: 5 kilometers.

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Answer:

20 of them are managers

Step-by-step explanation:

Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05

400 x 0.05 (multiplying it will just increase your answer) and you will get 20

To check it

20/5% or 0.05 = 400

Answer:

The sum of measures of angles in a triangle is 180. So if you take the three angles, add them, and set it to 180, you will get the answer. (39 + 3x + 7 + 5x - 2 = 180)

Step-by-step explanation:

Answer:

[tex]x = 17[/tex]

Step-by-step explanation:

[tex]m < a + m < b + m < c = 180 \\ \\ 39 + (3x + 7) + (5x - 2) = 180 \\ 39 + 8x + 5 = 180 \\ 44 + 8x = 180 \\ 8x = 180 - 44 \\ 8x = 136 \\ x = \frac{136}{8} \\ \\ x = 17[/tex]

Answer:

i think B is answer

Step-by-step explanation:

0.5x+9 = -3x+2

x = -2

y = -3x+2

y = -3(-2) +2

y = 6+2

y = 8

(x,y) = (-2,8)

X/12 = -8

Solve for x by multiplying both sides by 12

X = -96

Answer:

X=12*-8-----> X= -96. multiply 12 by -8

Answer:

11/25

Step-by-step explanation:

Reciprocal is the fraction flipped

Answer:

the answer is A

Step-by-step explanation:

1. y=3x^2-2x-2

0=3x^×-2x-2

2. 3x^2-2x-2=0

[tex] -( - 2) \frac{ + }{ - } \sqrt{( - 2) {}^{2} } - 4 \times 3 - 2 \2 \times 3[/tex]

3.

[tex]2 \frac{ + }{ - } \sqrt{4 + 24} \div 6 \\ \\ 2 \frac{ + }{ - } \sqrt{28} \div 6[/tex]

4.

[tex]2 \frac{ + }{} \frac{2 \sqrt{7} }{6} [/tex]

5.

[tex]1 \frac{ + }{ - } \frac{1 \sqrt{7} }{ 3} [/tex]

Answer:

110

Step-by-step explanation:

150*5=750

750+2000=2750

2750/25=110

Answer:

The number is 110

Explanation:

To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110

Step by step:

150×5= 750

=> 750+2000= 2750

2750÷25= 110

29 Nickels

15 Dimes

Hope this is helpful!

Answer:

1.2

Step-by-step explanation:

3q+3.97=7.57

3q=7.57-3.97

3q=3.6

q=3.6/3

q=1.2