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Mandarinka [93]
3 years ago
7

A pitcher holds 3/4 gallons of kool-aid. Martin wants to pour equal amounts of kool- aid into 6 smaller cotainers. How much kool

-aid will each smaller cotained hold.
Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:

\dfrac{1}{8}\ gallons

Step-by-step explanation:

Amount of kool - aid that the pitcher can hold = \frac{3}4 gallons

There are 6 smaller containers in which this kool - aid is to be adjusted.

Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.

To find:

The amount of kool - aid that each container can hold?

Solution:

Volume of all the smaller containers combined = Volume of the kool - aid available

Let the volume of one smaller container = V

V + V + V + V + V + V = \dfrac{3}{4}\ gallons

\Rightarrow 6V = \dfrac{3}{4}\ gallons\\\Rightarrow V = \dfrac{3}{4\times 6 }\ gallons\\\Rightarrow V=\bold{\dfrac{1}{8}\ gallons}

\frac{1}{8}\ gallons of kool - aid is the amount that each smaller can hold.

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Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for
yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(100,54) and (660, 138)

substitute

m=\frac{138-54}{660-100}

m=\frac{84}{560}=\$0.15\ per\ minute

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=0.15\\point\ (100,54)

substitute

y-54=0.15(x-100)

step 3

Convert to slope intercept form

Isolate the variable y

y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0
3 years ago
Solve the equation for x in terms of c
Dovator [93]

solve\:for\:x,\:\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}

\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}

\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}+\frac{1}{4}=\frac{5}{2}+\frac{1}{4}

\frac{2}{3}\left(cx+\frac{1}{2}\right)=\frac{11}{4}

\mathrm{Multiply\:both\:sides\:by\:}3

3\cdot \frac{2}{3}\left(cx+\frac{1}{2}\right)=\frac{11\cdot \:3}{4}

2cx+1=\frac{33}{4}

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

2cx+1-1=\frac{33}{4}-1

2cx=\frac{29}{4}

\mathrm{Divide\:both\:sides\:by\:}2c

x=\frac{29}{8c}

<h3>Therefore, correct option is C. option.</h3><h3>C. x=29/8c</h3>
8 0
3 years ago
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3 years ago
A student can run 100 yards in 15 seconds. Convert this speed to miles per hour.
nydimaria [60]
Answer:
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6 0
3 years ago
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ludmilkaskok [199]
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6 0
3 years ago
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