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3 years ago

Fill in the missing number to complete the factorization:

1 answer:

6 0

The last terms must multiply to the last terms (confusing)

example

if ax^3+bx^2+c+d=(ex+f)(gx+h)(jx+k) then
d=fhk

so

70 is last term
we got 2 and 5
2*5*?=70
10*?=70
divide by 10
?=7

the missing number is 7

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An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

I need help please?!):

motikmotik

Answer:

Option C: $\sqrt{\textbf{121}}$

Step-by-step explanation:

Given the side length of a square is 11 units.

Note that $\sqrt{121} = \pm 11$

Since, length cannot be negative, we can eliminate - 11.

Hence, the length of the side of the square is 11 units = $\sqrt{11^2} = \sqrt{121}$ .

Hence, the answer.

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3 years ago

The animal department wants to estimate baboon population. So they paint 50 baboons with a mark. These baboons were then release

Svet_ta [14]

Answer:

600 baboons

Step-by-step explanation:

Half the number of marked baboons showed up in the sample, so we expect the sample size to be about half of the total population. 300 is half of 600.

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Many assumptions are involved in such an experiment and analysis. Not the least of which are the assumptions that the marked baboons end up evenly distributed through the population, and that the sample is a fair sample of the entire population.

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3 years ago

The change from a gift purchase was 3.90.each of 6 students donated an equal amount for the gift.how much change should each stu

rosijanka [135]

Divide 3.90 by 6: 3.9/6=.65. They each paid 65¢ :)

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3 years ago

Ruben bought 6 comic books for $21. Each comic book was the same price.

kondor19780726 [428]

Answer:

$3.50

Step-by-step explanation:

Divide the price of 6 books ($21) by the number of books bought (6)

$21 divided by 6 = $3.50

So the price of 1 book is $3.50

Hope this helps :)

8 0

3 years ago

Read 2 more answers