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3 years ago

6

Alisa says it is easier to compare the numbers in Set A than the numbers in Set B

1 answer:

exis [7]3 years ago

7 0

You need to add more detail to this question. We don't know what Set A or Set B is.

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What is 1099 divide by 54

schepotkina [342]

1099/54=20.35185185185185

4 0

3 years ago

Read 2 more answers

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

3 years ago

Read 2 more answers

Perimeter of 40 triangles when the sides are all 1 cm long

Marianna [84]

Answer: 120 cm.

Step-by-step explanation: Each triangle has 3 sides, and each side is 1 cm. Multiply the number of sides for one triangle by the total number of triangles. 3 x 40=120. The perimeter is 120 cm.

7 0

3 years ago

Trong mặt phẳng tọa độ , cho đường thẳng . Viết phương trình đường thẳng là ảnh của qua phép quay tâm góc quay .

Anna007 [38]

Answer:

sssssssssssssssi b

Step-by-step explanation:

3 0

3 years ago

What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200

vova2212 [387]

Answer:

x = 200

Step-by-step explanation:

Given

$\frac{1}{5}$ x - $\frac{2}{3}$ y = 30 ← substitute y = 15 into the equation

$\frac{1}{5}$ x - $\frac{2}{3}$ × 15 = 30 , that is

$\frac{1}{5}$ x - 10 = 30 ( add 10 to both sides )

$\frac{1}{5}$ x = 40 ( multiply both sides by 5 to clear the fraction )

x = 200

5 0

3 years ago