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3 years ago

a person leaves their house to go to the store. it takes 15 minutes at 12 mph to get to the store. They return home at 31 mph. W

hat is the average rate of the speed for the entire trip?

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

$\bf \cfrac{\stackrel{speed~forth}{12}+\stackrel{speed~back}{31}}{\stackrel{interval~forth}{1}+\stackrel{interval~back}{1}}\implies \cfrac{43}{2}\implies 21.5mph\textit{ on average}$

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Laura, Maria, and Nathan had 2 1 4 cups of milk to share for breakfast. Laura poured some milk on her breakfast cereal. Then she

ollegr [7]

The cups of milk Laura gave to Maria is 19/12 cups is 19/12 cups

<h3>How to calculate fraction</h3>

Total cups of milk to share = 2 1/4 cups

Laura = x

Maria = 2/3 cups

Total = Laura + Maria

2 1/4 = x + 2/3

2 1/4 - 2/3 = x

9/4 - 2/3 = x

(27-8) / 12 = x

19/12 = x

= 1 7/12

Therefore, the cups of milk Laura gave to Maria is 19/12 cups

Learn more about fraction:

brainly.com/question/11562149

7 0

1 year ago

A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b

konstantin123 [22]

Answer:

$\theta = 40.59^\circ$

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find $\theta$

To do this, we use sine formula

i.e.

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(\theta) = \frac{10.8}{16.6}$

$\sin(\theta) = 0.6506$

Take arc sin

$\theta = \sin^{-1}(0.6506)$

$\theta = 40.59^\circ$

4 0

2 years ago

If CX = 5 units, then DZ = ___ units

gulaghasi [49]

Answer:

$DZ=4\ units$

Step-by-step explanation:

we know that

If CD is parallel to XZ

then

Triangle XYZ is similar to Triangle YCD

therefore

The ratio of their corresponding sides are equal

$\frac{XY}{CY}=\frac{ZY}{YD}$

we have

CX=5\ units, CY=25\ units, YD=20\ units,

$XY=CX+CY$

$XY=5+25=30\ units$

$ZY=YD+DZ$

$ZY=20+DZ$

substitute the values

$\frac{30}{25}=\frac{20+DZ}{20}$

$20\frac{30}{25}={20+DZ}$

$24={20+DZ}$

$DZ=4\ units$

5 0

3 years ago

Read 2 more answers

A party is thrown where 25 tables are used. Each table either sits 4people or 6 people. A total of 116 people can be sat at the

nignag [31]

Okay, so I'm gonna do this in terms of x and y, because that's what I'm used to.
s= x = 4-person tables
a= y = 6-person tables
x + y = 25
~ You use 25 tables so no matter how many of each kind are there, you end up with 25 tables so it should add up to 25.
4x + 6y = 116
~ You know that there will always be a total of 116 people at the tables. And in this case 4 and 6 are the number of people that can be seated at these tables, so in terms of people, you would say 4x and 6y.
To find out the amount of six people tables, solve for y and that's your answer.
You could do this a variety of ways.
One way is the substitution, for that you would rearrange the first equation for y, then plug in that value for y in the second equation and then solve for y. That value you get is your answer.

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3 years ago

A car travels 17 miles on one gallon of gas.

ehidna [41]

Answer:

$y$ ranges from 2890 miles to 5780 miles.