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3 years ago

12

Joyce paid $70 for an item at the store that was 70% off the original price. What was the original price?

1 answer:

d1i1m1o1n [39]3 years ago

8 0

Answer:119

Step-by-step explanation:

You might be interested in

3(2+q)+153(2+q)+15 simplified is

blondinia [14]

6 + 3q + 306 + 153q + 15
156q + 327

8 0

3 years ago

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans the total cost is $

inna [77]

The cost for each pound of trail mix and each pound of jelly is given below.

Step-by-step explanation:

Let t = cost/pound of trail mix

Let j = cost/pound of jelly beans

5t + 6j = 35

3t + 2j = 15 = > 2j = 15 - 3t

5t + 3(15 - 3t) = 35

5t + 45 - 9t = 35

- 4t + 45 = 35

- 4t = - 10

4t = 10

t = 2.5

3(2.5) + 2j = 15

7.5 + 2j = 15

2j = 7.5

j = 3.75

7 0

3 years ago

Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

maeve likes to make her salads in advance she made 15 salads for 3 days how many salads does she eat per day unit rate

Tju [1.3M]

The number of salads Maeve eats per day if she made 15 salads for 3 days is 5 salads eaten per day.

<h3>Unit rate</h3>

Unit rate refers to the number of units of the first type of quantity corresponding to one unit of the second type of quantity.

Number of salads = 15 salads
Number of days = 3 days

Unit rate of salad eaten per day = Number of salads ÷ Number of days

= 15 ÷ 3

= 5 salads eaten per day

A salad is a food made primarily of a mixture of raw or cold ingredients, typically vegetables, usually served with a dressing such as vinegar or mayonnaise.

Therefore, the number of salads Maeve eats per day if she made 15 salads for 3 days is 5 salads eaten per day.

Learn more about unit rate:

brainly.com/question/4895463

#SPJ1

7 0

1 year ago

Which of the following expressions are equivalent to

AfilCa [17]

Answer:

A

Step-by-step explanation:

-1 / 2 = -0.5

1/-2 = -/0.5

5 0

3 years ago

Read 2 more answers