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4 years ago

Kaitlin buys 9/10 pound of Orange slices.she eats 1/3 of them and divides the rest equally into 3 bags.how much is in each bag?

1 answer:

7 0

1/3 of 9/10=1/3 times 9/10=9/30=3/10

divides the rest (3/10) into 3 bags
3/10 divided into 3 parts is 3/10 times 1/3=3/30=1/10

each bag has 1/10 pound of orange slices

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Which is an example of the distributive property? A. 9 • (t + 5) = 9t + 45 B. 9 • (t + 5) = (t + 5) • 9 C. 9 • (t + 5) = (9 • t)

Paladinen [302]

The answer is D because it is the simplified version of the original problem.

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4 years ago

Read 2 more answers

Find an equation of the line that (a) has the same y -intercept as the line y + 5x + 9 = 0 and (b) is parallel to the line - 3x

kap26 [50]

Equation of required line is:

$y = \frac{3}{4}x-9$

Step-by-step explanation:

First of all we will convert both equations in slope-intercept form

$y + 5x + 9 = 0$

Subtracting 5x from both sides

$y+9 = 0-5x\\y+9 = -5x$

Subtracting 9 from both sides

$y+9-9 = -5x-9\\y = -5x-9$

The y-intercept is -9.

Other equation is:

$- 3x + 4y = 3$

Adding 3x on both sides

$-3x+3x+4y = 3x+3\\4y=3x+3$

Dividing both sides by 4

$\frac{4y}{4} = \frac{3x+3}{4}\\y = \frac{3}{4}x+\frac{3}{4}$

As the required line has y-ntercept of line y + 5x + 9 = 0

So,

b = -9

And

The line is parallel to second line, so the slopes of both will be equal

$m=\frac{3}{4}$

Slope-intercept form of line is:

$y=mx+b$

Putting values of b and m

$y = \frac{3}{4}x-9$

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

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3 years ago

A student factors a6 - 64 to (a2 - 4)(a4 + 4a2 + 16).Which statement about (a2 − 4)(a4 + 4a2 + 16) is correct?

IrinaK [193]

Answer:

Option (b) is correct.

The expression is equivalent, but the term is not completely factored.

Step-by-step explanation:

Given : a student factors to

We have to choose the correct statement about from the given options.

Given is factored to

Consider

Using algebraic identity,

comparing and b = 4, we have,

Thus, the factorization is equivalent but we can simplify it further also, as

Using algebraic identity,

Thus,

Can be written as

Thus, the expression is equivalent, but the term is not completely factored.

Option (b) is correct.

4 0

2 years ago

6 libras de café y 5 de azúcar costaron 227 pesos y 5 libras de café y 4 libras de azúcar (a los mismos precios) costaron 188 pe

nlexa [21]

Answer:

The price of one pound of coffee is 32 pesos

The price of one pound of sugar is 7 pesos

Step-by-step explanation:

The question in English is

6 pounds of coffee and 5 pounds of sugar cost 227 pesos and 5 pounds of coffee and 4 pounds of sugar (at the same prices) cost 188 pesos Find the price of one pound of coffee and one pound of sugar.

Let

x-----> the price of one pound of coffee

y-----> the price of one pound of sugar

we know that

6x+5y=227 -----> equation A

5x+4y=188 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (32,7)

see the attached figure

therefore

The price of one pound of coffee is 32 pesos

The price of one pound of sugar is 7 pesos

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4 years ago

Simplify: 5x + 4x2 + 10 + 2x2 + 2x – 6+2 - 1.

erik [133]

The answer would be 7x+ 17

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3 years ago