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3 years ago

1) Diego measured the number of cups of water in 15 bottles of various sizes. He

Mathematics

1 answer:

Ivan3 years ago

6 0

Answer:

$8\frac{3}{4}$ cups.

Step-by-step explanation:

From the line plot made by Diego which represents bottle sizes in cups, we can see that the most common size is the bottle having 1¾ cups (there are 5 of this sizes).

If he poured all 5 of this bottle sizes in 1 container, he would have the following:

$1\frac{3}{4} * 5 = \frac{7}{4}*5 = \frac{35}{4}$

$= 8\frac{3}{4}$ cups.

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An isosceles triangle has two angles both equal to x°. The third angle is 60° bigger than either of these. Find the value of x°.

Elina [12.6K]

X+x+(x+60)=180
3x+60=180
3x=120
x=40

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3 years ago

My mother pays my brother twice as much allowance as she pays me because he cleans the bathrooms. Together we get $24 each week.

Harman [31]

Answer:

Your brother gets $16 and you get $8.

Step-by-step explanation:

first of all what is 16+8=24

first step..i started from 2 and did twice of that wich is 4 but that only got $6

second step.... just keep doing your multiples....

third step....as soon as i got to the number 8 i did twice of that and i got 16 then i added those and i got $24

and that is your answer.

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3 years ago

Which pair of triangles can be proven congruent by SAS?

ivolga24 [154]

Answer:

Second option

Step-by-step explanation:

They have two congruent pairs of sides and one congruent pair of angles.

4 0

2 years ago

L 5.2.3 Quiz: Two-Variable Systems: Substitution

Misha Larkins [42]

Answer:

We get x=3 and y=21

The ordered pair will be: (3,21)

Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

$y = 10x-9\\y = x + 18$

For substitution method we substitute the value of x or y from one equation to other.

Let:

$y = 10x-9--eq(1)\\y = x + 18--eq(2)$

Putting value of y from equation 2 into equation 1

$y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3$

So, we get value of x=3

Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

$y=x+18\\x=y-18$

Now, putting value of x in equation 1

$y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21$

So, we get value of y=21

So, We get x=3 and y=21

The ordered pair will be: (3,21)

6 0

2 years ago

Rachel bought 3 CDs that were each the same price. Including sales tax, she paid a total of $35.40. Of that total, $2.70 was tax

kotegsom [21]

Answer:

Step-by-step explanation:

Total bill - the tax = cost of 3CD's

Our total bill is $35.40, the tax is $2.70, therefore,

35.40 - 2.70 = cost of 3 CD's so

3 CD's = $32.70

Divide that by 3 to get the cost per CD:

32.7 / 3 = $ 10.90 per CD

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3 years ago