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Charra [1.4K]
3 years ago
6

To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much

lemonade did you make?
Mathematics
2 answers:
aleksley [76]3 years ago
8 0
1 quart= 32 ounces
1 pint= 16 ounces

32+16+9= 57 ounces

57 ounces= 7.125 cups

7.125 cups= 7 1/8 cups 
devlian [24]3 years ago
6 0
1 qt = 2 pt. 
2 pt. = 32 fl. oz. 

1 pt. = 16 fl. oz.

32 + 16 + 9= 57 oz. You make 57 fl. oz. of Lemonade. Hope I could help!. 
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Which expressions are equivalent to the one below? Check all that apply. 53 • 5x
weeeeeb [17]
<span>

</span>Calculate 3 x 5, which is 15.Since 15 is two-digit, we carry the first digit 1 to the next column.

Calculate 5 x 5, which is 25. Now add the carry digit of 1, which is 26.Since 26 is two-digit, we carry the first digit 2 to the next column.

Bring down the carry digit of 2.


<span>Therefore, 53 x 5 = 265.</span>

4 0
3 years ago
Read 2 more answers
The gas tank of Tyrell's truck holds 19.8 gallons. when the tank empty, Tyrrell fills it with gas that costs $3.65 per gallon. a
Tems11 [23]

It is given in the question that

The gas tank of Tyrell's truck holds 19.8 gallons. when the tank empty, Tyrrell fills it with gas that costs $3.65 per gallon.

It means cost of one gallon of gas is $3.65 .

And the tank hold 19.8 gallon . So cost of 19.8 gallon is

= $3.65*19.8 = $72.27

Therefore about $72.27 it will cost to fill the tank .

8 0
3 years ago
The varsity basketball team started selling T-shirts online in 1994. The number of T-shirts sold online, s, is modeled by the gr
-Dominant- [34]

(PART-A): s-intercept in this case represents the y-intercept of the graph, whereas the t-intercept in this case represents the x-intercept of the graph.

Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the <em>y-intercept (s-intercept) in this case is 6</em>. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is <em>no x-intercept (t-intercept)</em>. It means that there is <em>not</em> a single year when the number of shirts sold is 0.


(PART B): As you can see in the graph (attached with the question) that the <em>f(t)</em> is increasing (exponentially) with the increase in <em>t. </em>Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."


(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

slope = \frac{y_2 - y_1}{x_2 - x_1} --- (X)

Given points: (5, 12.5) and (7, 22). Plug the values in equation (X),

slope = \frac{22-12.5}{7-5} = 4.75

Hence, the average rate of change for the function between t=5 and t=7 is 4.75 (answer).


(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in <em>hundreds. </em>It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

g(t) = f(t) + 10 --- (Y)

Why did I add f(t)? Because in the question, the word "<em>and</em>" is underlined. It means that g(t) represents not only 1000 T-shirts (10*100 = 1000) sold at the basketball games each year, but it also has the number of T-shirts sold ONLINE, which is f(t).

Now insert f(t) in (Y) and solve:

g(t) = f(t) + 10\\g(t) = (1.5)^t + 5+ 10\\g(t) = (1.5)^t + 15

Hence, g(t) is (1.5)^t + 15

8 0
3 years ago
Read 2 more answers
Can someone help me i keep getting different answer!!
spayn [35]

Answer:

The second option: 3 (6 - 5n)/20n

Step-by-step explanation:

Make sure all fractions have a common denominator:

Step 1. Find a common multiple between all three denominators

5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20

Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).

1/5n × 4/4 = 4/20n

3/4 × 5n/5n = 15n/20n

7/10n × 2/2 = 14/20n

Your fractions now all have a common denominator of 20n.

Rewrite the equation using the new fractions:

4/20n - 15n/20n + 14/20n

Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.

(4 - 15n + 14)/20n

Combine like terms:

(18 - 15n)/20n

Factor out any numbers possible:

3(6 - 5n)/20n

Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.

6 0
3 years ago
Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per
eduard

Answer:

c)   6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation:  y=mx+b

(where m is the slope and b is the y-intercept)

Maria's line:  y=-\dfrac{5}{6}x+8

Therefore, the slope of Maria's line is -\frac{5}{6}

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}

Therefore, the linear equation of Nate's line is:

y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}

Rearranging this to standard form:

\implies y=\dfrac{6}{5}x+b

\implies 5y=6x+5b

\implies 6x-5y=-5b

Therefore, <u>option c</u> could be an equation for Nate's line.

3 0
2 years ago
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