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3 years ago

14

Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the nu

mber of CDs that she purchased and y represent the number of DVDs.

1 answer:

Effectus [21]3 years ago

7 0

14x+17y= total spent

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Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n

USPshnik [31]

Answer:

$\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used

Step-by-step explanation:

Daniel uses the proportions of $\dfrac{2}{3}$ cups of orange juice and $\dfrac{1}{4}$ cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

$\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}$

So for one cup of carrot juice $\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used.

4 0

2 years ago

A snowflake falls 6 feet in 4 seconds. At this rate, how far does a snowflake fall in 1 minute?

antiseptic1488 [7]

A snowflake falls 90 feet in 1 minute.

60 ÷ 4 = 15

6 x 15 = 90

8 0

3 years ago

An item on sale costs

9966 [12]

The sale price would be 18 dollars. Hope this helps you!

3 0

3 years ago

Read 2 more answers

two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they

Lerok [7]

Let's make,
mechanic #1's rate = x
mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1

and mechanic #2 worked for 5 hours
5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means
x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr

Now use this to solve for x

x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr

mech#1 charged 45$/hr
mech #2 charged 50$/hr

7 0

3 years ago

the number of members in a club dropped from 80 to 52. what is the percent of decrease in the number of members

Illusion [34]

Percent of decrease :
Original - New / Original
so...
80 - 52 / 80 ---->
28/80
.35 multiply by 100 to get percent
35% increase Hope I helped if you have any questions let me know! :)

7 0

3 years ago