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nasty-shy [4]
3 years ago
6

Sonic claims to have 1,073,953 drink combinations. 13 base drinks and 26 flavor add ins. If you select 1 base and 1 flavor . How

many different options do you have.
Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Answer:

338 different options we will have to choose from.

Step-by-step explanation:

Number of base drinks = 13

Numbers of flavors = 26

If we can  select 1 base and 1 flavor.

For every base drink we have 26 flavors.

Then for each 13 base drinks we will have 26 flavors.

So, number of options if we have If we select 1 base and 1 flavor:

13\times 26 =338

338 different options we will have to choose from.

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Highlight three ordered pairs that will form a relation with a range of {-3, 4, 7}.
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Answer:

826

Step-by-step explanation:

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3 0
3 years ago
There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n
Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

<u>1) Translate the information into equations</u>

"One is 7 more than twice the other"

⇒ y=2x+7

"The sum of the numbers is 43"

⇒ x+y=43

<u>2) Use substitution to solve for the smaller number</u>

x+y=43

Plug the equation y=2x+7 into the above equation

x+(2x+7)=43\\x+2x+7=43\\3x+7=43

Subtract both sides by 7

3x+7-7=43-7\\3x=36

Divide both sides by 3 to isolate x

\frac{3x}{3} = \frac{36}{3} \\x=12

Therefore, the smaller number equates to 12.

<u>3) Use substitution to solve for the greater number</u>

x+y=43

Plug in x as 12

12+y=43

Subtract both sides by 12 to isolate y

12+y-12=43-12\\y=31

Therefore, the greater number equates to 31.

I hope this helps!

3 0
3 years ago
A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell
guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

6 0
2 years ago
Consider the graph of the function f(x)=10^x
Sidana [21]

Step-by-step explanation:

B. Is correct, the graph will never touch 0 if we shift the graphs horizontally,

4 0
2 years ago
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