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3 years ago

6

Ben had 2 boxes of blocks.

1 answer:

alisha [4.7K]3 years ago

5 0

Each box had 100 blocks in it.

-- 1/5 of the blocks in one box = 100/5 = 20 blocks.

-- 1/5 of the blocks in the other box = 100/5 = 20 blocks.

-- Total number of blocks used = (20 + 20) = 40 blocks.

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What is the correct answer?

Licemer1 [7]

The answer is on the picture below

3 0

2 years ago

1. What is the simplified form of the following expression? <br><br> 12x

eimsori [14]

12x² - 3.5y + 10y + 1.5x² + y Combine like terms

13.5x² + 7.5y

3 0

3 years ago

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

2 years ago

Read 2 more answers

1. -4x + 5 = 2x - 7<br> 2. 6x - 8 = 4x + 2<br> 3. -3x - 5 = 2x + 10

Svetllana [295]

Answer: 1. x=2

2. x=5

3.x=-3

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

Move all terms not containing x to the right side of the equation.

Hope this helped

7 0

3 years ago

1.) (-18, -20) (18, 16)

aleksandrvk [35]

1.) (-18, -20) (18, 16)

m= 1

2.) (-7, 14) (-11, 4)

m= 5/2

3.) (-5, -4) (3, 9)

m= 13/8

4.) (13, -8) (-9, -1)

m= -7/22

3 0

3 years ago