Solve this ratio pls. 9 gallons to 28 quarts as a fraction in simplest form

Abby used 3 3/4 of drink mix to make 10 cups of drinks.

Fittoniya [83]

1) 3 x 4 = 12 + 3 = 15/10= 1.5

1.5/4 = 3/8 drink mix for one drink

2) 22/8

22/3=7.3

so 7 cups of drinks

6 0

3 years ago

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b:

$y=\displaystyle-\frac{4}{3}x+b$

Determine the y-intercept (b):

$y=\displaystyle-\frac{4}{3}x+b$

To find the y-intercept, plug in the given point (6,14) and solve for b:

$14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22$

Therefore, the y-intercept of the line is 22. Plug this back into $y=\displaystyle-\frac{4}{3}x+b$ :

$y=\displaystyle-\frac{4}{3}x+22$

I hope this helps!

5 0

2 years ago

Two mechanics worked on a car. The first mechanic worked for 5

ArbitrLikvidat [17]

Answer:

$50 and $115

Step-by-step explanation:

We know that,

the sum of the two rates = $165 per hour

Let x and (165 - x) represent the $/hour of the 15hr and 5hr mechanics respectively.

Then combining their charges together to get:

$(x*15)hour+(165-x)*5 hour=1325$

Solving for x to get:

$15x-5x+825=1325$

$10x=500$

$x=50$

So the rate charged per hour by one mechanic is $50 and for the other mechanic = $(165-50)=$ $115.

8 0

3 years ago

Write 0.5% as a decimal.

Pavlova-9 [17]

0.5% = 0.005
0.5% = 1/200

6 0

2 years ago

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Let v be a vector with initial point (-5, -11) and terminal point (6,2). What is v?

White raven [17]

Answer-The vector is

=

7

→

i

−

24

→

j

and the magnitude is

=

25

Explanation:

Let the point

A

=

(

−

2

,

7

)

and

B

=

(

5

,

−

17

)

Then,

−−→

A

B

=

(

5

−

(

−

2

)

−

17

−

7

)

=

(

7

−

24

)

The magnitude of

−−→

A

B

is

∣

−−→

A

B

∣

=

√

(

7

)

2

+

(

−

24

)

2

=

25

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers