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3 years ago

Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5?

Mathematics

2 answers:

kogti [31]3 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

You are given the equation $8x+(-4)=11x+5$

1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side. The equation then will have form

$8x+(-4)+(-8x)=11x+5+(-8x)\\ \\-4=3x+5$

2. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side. The equation now is

$-4+(-5)=3x+5+(-5)\\ \\-9=3x$

3. Divide both sides by 3:

$\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3$

aleksandr82 [10.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

the answer is a c d

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Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogeth

Airida [17]

Answer:

£480

Step-by-step explanation:

we can multiply both terms of ratio with same number without changing the ratio.

Example

a:b = ax: bx (here we have multiplied both terms with x)\

Given

Stevie and Michael share their profit in a ratio 3:5

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

3x = 120 + 5x

3x-5x = 120

=> -2x = 120

=> x= -120/2 = -60

As we see profit is negative , hence it cannot be solution.

It can be solved if Stevie and Michael share their profit in a ratio 5:3

(note: in ratio , bigger number should have bigger term in ratio)

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

5x = 120 + 3x

5x-xx = 120

=> 2x = 120

=> x= x120/2 = 60

Profit for stevei = 5x =5*60 = 300

Profit for Michael = 3x = 3*60 = 180

Total profit for them together = 300 + 180 = 480 Answer.

8 0

3 years ago

Find the volume of the rectangular prism.<br> 19 cm<br> 9 cm<br> 2 cm

Makovka662 [10]

Answer: 342 cm³

Step-by-step explanation: To find the volume of the rectangular prism, start with the formula for the volume or a prism.

Volume = length × width × height

Since we are not sure what the length, width, or height is in this problem, we can plug any of these numbers in for the length, width, or height. The commutative property of multiplication states that changing the order of the factors does not change the product.

Volume = (19 cm) (9 cm) (2 cm)

Volume = 342 cm³

Therefore, the volume of the rectangular prism is 342 cm³.

5 0

3 years ago

Use pi=3.14 to estimate the circumference of the circle to the nearest hundreth the diameter is 11 cm

TiliK225 [7]

The formula of circumference: 兀×diameter

In this case:

3.14×11
=34.54cm

Nearest hundreth = 2 demical places

Therefore, the answer is 34.54cm.

Hope it helps!

3 0

3 years ago

HELPPPPP ITS DUE TODAY

siniylev [52]

Answer:

1) just make an equation (answer below)

SO the new bottle is 30 ounces

The old bottle was 25 percent more then the new one

So we can just find 25 percent of 30

And add it

That is the most simple way but I would just do

30*1.25 Its the same thing but if you think a bout ti, the new bottle can Only hold 30 ounces, 30 ounces is 100 percent of the new bottle, if you multiply 1.25 its adding 25 percent so it Turns a 2 step into a 1 step.

1.25*30=37.5

The larger bottle was 37.5 ounces

6 0

2 years ago

List the next three terms in the following sequence:

BlackZzzverrR [31]

1 + 1 = 2
2 + 2 = 4
4 + 3 = 7
7 + 4 = 11
11 + 5 = 16
16 + 6 = 22
22 + 7 = 29
29 + 8 = 37

sorry that I do not know the equation for this problem...but ur next 3 numbers are : 22,29,37.....so ur answer is D

8 0

3 years ago

Read 2 more answers