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Kobotan [32]
4 years ago
15

A cafe has seven gallons of lemonade. How many quarts do they have?

Mathematics
2 answers:
igor_vitrenko [27]4 years ago
8 0

The most important thing to know is that one gallon is four quarts.

You can do 4x7 to solve, which would be 28.

They would have 28 quarts.

galben [10]4 years ago
3 0

4 quarts are in a gallon

to find how many quarts they have, multiply the 7 gallons by the 4 quarts that are in them

7 gallons • 4 quarts = 28

so, the cafe has 28 quarts of lemonade

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Determine the measure of angle C using a trigonometric ratio.
masya89 [10]

Answer:

34.836

Step-by-step explanation:

sin(C)=opp/hyp=16/28=4/7

C= inverse sin = 34.836 deg

4 0
3 years ago
How do we create a table of values to help us graph linear equations?​
VashaNatasha [74]

Let's say for example you wanted to graph the linear equation y = 2x+5

At minimum, we'll need 2 points to form this line.

To get any point of the form (x,y), we plug in a number for x to find a corresponding number for y.

For example, replace x with 0 to find that...

y = 2x+5\\\\y = 2(0)+5\\\\y = 0+5\\\\y = 5\\\\

Therefore, x = 0 leads to y = 5. So the point (0,5) is on the line.

Then we repeat this process for other x values. Let's try x = 1

y = 2x+5\\\\y = 2(1)+5\\\\y = 2+5\\\\y = 7\\\\

Telling us that (1,7) is also on this line. We have enough to graph this equation. Plot the two points (0,5) and (1,7). Then draw a straight line through them. Extend this line as far as you can to the left and right. The graph is shown below.

We can keep going to get other points like (2,9) and (3,11) and (4,13) and so on. A table is a way to keep track of the xy values.

\begin{array}{|c|c|}\cline{1-2}\text{x} & \text{y}\\ \cline{1-2}0 & 5\\ \cline{1-2}1 & 7\\ \cline{1-2}2 & 9\\ \cline{1-2}3 & 11\\ \cline{1-2}4 & 13\\ \cline{1-2}\end{array}

Each time x goes up by 1, y goes up by 2. This directly ties to the slope of 2/1 = 2.

6 0
3 years ago
An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3, -2). Find the other endpoint.
Dimas [21]

Answer:

(-8,1)

Step-by-step explanation:

Using the equation for midpoints we can find:

\frac{(5+y)}{2} =3,  \frac{(4+x)}{2} =-2

y+5=6,      4+x=-4

y=1, x=-8

sry it's backwards

(-8,1)

Hope this helps!

4 0
3 years ago
What is the value of 1.8c − 2.4 when c = 5?<br> A. 4.4<br> B. 5.4<br> C. 6.6<br> D. 7.6
Nadusha1986 [10]

Answer:

6.6

Step-by-step explanation:

For this problem, you need to add 5 to the given equation, by replacing "c" with "5"

1.8(5)-2.4

= 6.6

3 0
3 years ago
What is the biggest whole number smaller than the perimeter of any triangle with a side of length 5.6 and a side of length 19.7?
snow_tiger [21]

Answer:

50

Step-by-step explanation:

The perimeter of a Triangle is the sum of it's 3 sides.

We are given two sides here which is side length 5.6 and a side of length 19.7

Let's us represent the third side as x

Therefore

x + 19.7 + 5.6 = Perimeter of the triangle

We would have this equation

But it is important to know that every side of a triangle must be less than the sum of the other two sides, hence

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x < 25.3

Adding 25.3 to both sides to make the left side equal to the perimeter

perimeter = x+25.3 < 25.3 + 25.3 = 50.6

Therefore, 50.6 is the smallest whole number that is larger than the perimeter of the triangle in the question above.

Therefore, the biggest whole number smaller than the perimeter of the above triangle is 50

6 0
3 years ago
Read 2 more answers
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