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3 years ago

The food pantry distributes 10-oz bags of rice. If three 5-lb are donate to the pantry, how many 10-ounce bags can be made?

Mathematics

1 answer:

kumpel [21]3 years ago

5 0

You'd have to multiply 16 by 15.

Three 5 pound bags= 15

1 pound=16 ounces.

16x15=240

240 divided by 10=24

The answer is 24 bags of 10-ounces.

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If x – 10 is a factor of x2 – 8x – 20, what is the other factor?

Svetach [21]

Answer:

The other factor is $(x+2)$

Step-by-step explanation:

we know that

$(x-a)(x-b)=x^{2}-xb-xa+ab$

$(x-a)(x-b)=x^{2}-(a+b)x+ab$

In this problem we have

$x^{2} -8x-20$

and

$a=10$ -----> because is a factor

substitute and solve for b

$x^{2} -8x-20=x^{2}-(10+b)x+10b$

$8=10+b\\b=-2$

Verify in the second equation

$-20=10b$ -----> $-20=10(-2)$ -----> $-20=-20$ --> is ok

The other factor is $(x+2)$

3 0

3 years ago

Read 2 more answers

Enter your answer and show all the steps that you use to solve this problem in the space provided.

rodikova [14]

Answer:

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³ - 7x + 4

(b) Create a subtraction problem using the two functions

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = <u>-(5x³ - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = <u>-(5x³ - 7x + 4) </u>

ƒ(x) -g(x) = 4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

5 0

3 years ago

The big wheel could have a 52 inch diameter and the small wheel could have an 18 inch diameter, what is the circumference of the

kati45 [8]

26 inch diameter because 52 divided by 2 is 26.

6 0

4 years ago

What are the measure of angles 1 and 2

riadik2000 [5.3K]

Answer:

50° and 130°

Step-by-step explanation:

∠1 is a chord- chord angles and is calculated as

∠1 = 0.5( arc RQ + arc ST) = 0.5(53 + 47)° = 50°

∠1 and ∠2 form a straight angle and are supplementary, hence

∠2 = 180° - 50° = 130°

6 0

3 years ago

As part of a company incentive, each sales person that sells over \$40{,}000$40,000dollar sign, 40, comma, 000 in merchandise th

worty [1.4K]

Answer:

$58,600

Step-by-step explanation:

Data provided in the question:

Commission on Sales upto and including $40,000 = 5%

Commission on Sales above $40,000 = 10%

Total commission = $3,860

Now,

For sales of $40,000

maximum commission = 5% of $40,000

= $2,000

Since the commission received is greater than $2,000

Therefore,

The value of s is greater than $40,000

Thus

Amount qualifying for 10% commission = s - $40,000

therefore,

Total commission = $2,000 + 10% of (s - $40,000)

$3,860 = $2,000 + 0.10 × (s - $40,000)

$1,860 = 0.10 × (s - $40,000)

s - $40,000 = $18,600

s = $18,600 + $40,000

s = $58,600

4 0

3 years ago

Read 2 more answers