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3 years ago

An 8-pound bag of apples costs $17.50. What is the unit price?

2 answers:

8 0

8 pound bag full of apples = $17.50

The unit price is the amount we need to pay per bag.

Now, we need to set up a proportion.

8/17.50 = 1/x

Cross multiply.

8*x = 8x
17.50 * 1 = 17.50

8x = 17.5

Divide

8x/8 = 17.5/8
x= 17.5/8

x= 2.18

2.18 dollars per pound.

Naily [24]3 years ago

8 0

17,50/8 = $2,18
thankyouu

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S_A_V [24]

I think the answer is A

4 0

3 years ago

3x+6=-3(2x+4) Show your work

Lera25 [3.4K]

Answer:

$\boxed {x = -2}$

Step-by-step explanation:

Solve for the value of $x$ :

$3x + 6 = -3(2x + 4)$

-Use Distributive Property:

$3x + 6 = -3(2x + 4)$

$3x + 6 = -6x - 12$

-Take $6x$ and add it to $3x$ :

$3x + 6 + 6x = -6x + 6x - 12$

$9x + 6 = -12$

-Subtract both sides by $6$ :

$9x + 6 - 6 = -12 - 6$

$9x = -18$

-Divide both sides by $9$ :

$\frac{9x}{9} = \frac{-18}{9}$

$\boxed {x = -2}$

Therefore, the value of $x$ is $-2$ .

5 0

3 years ago

Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

Completing the square

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

2 years ago

Can you simplify the equation?

zimovet [89]

-15x-6y+24y+6x
-9x-30y

I think

8 0

4 years ago

Read 2 more answers

At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is

Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$