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wlad13 [49]
3 years ago
9

Julia drinks 16 cups of water per day. How many quart(s) of water does she drink per day?

Mathematics
2 answers:
e-lub [12.9K]3 years ago
8 0
16 x 1/4 = 4 so 4 quarts of water
ivann1987 [24]3 years ago
4 0
4 cups are in a quart. Therefore you must use divide the amount of cups by 4 to get an amount of quarts. therefore you have 4 quarts.
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Solve for 2a:<br> a + 6 = 3a + 2<br> 2a
rosijanka [135]

Answer:

Break down the problem into these 2 equations.

a+6=3a+2

a+6=3a+2

a+6=2a

a+6=2a

Solve the 1st equation: a+6=3a+2a+6=3a+2.

a=2

a=2

Solve the 2nd equation: a+6=2aa+6=2a.

a=6

a=6

Collect all solutions.

a=2,6

a=2,6

Step-by-step explanation:

6 0
3 years ago
Evaluate the following expression. 10−9×5+6×(−2)
Svet_ta [14]
According to the order of operations, evaluate all multiplication first.
10-45+-12

Then add and subtract from left to right
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-47

Final answer: -47
7 0
3 years ago
What is the domain of the relation
nata0808 [166]

Answer:

its the second one

Step-by-step explanation:

1. starting point of the domain ( x-axis ) is 0

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3 0
2 years ago
Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16
HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image  PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

|A'B'|=k\times |AB|   .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}

PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}

It is noticed that the size of side in preimage is 2\sqrt{13} and the size of same side in image is \sqrt{13}.

Using equation (1), we get

\sqrt{13}=k \times 2\sqrt{13}

k=\frac{1}{2}

k=0.5

Hence, the value of scale factor is 0.5.

7 0
3 years ago
Read 2 more answers
Find the difference of 1-3/8
Vilka [71]
1-3=-2 so -2/8 is -1/4 so negative one fourth
3 0
3 years ago
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