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natta225 [31]
2 years ago
9

The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana sp

lits and also made a total of $156. Which system of equations represents the situation?
Mathematics
1 answer:
Nataliya [291]2 years ago
4 0

Answer:

$82 sundaes

$74 banana split

Step-by-step explanation:

Step one :

Given data

Cost of sundaes =$2 each

Cost of banana split =$3 each

Let the number of sundaes bought be x

And the number of banana split bought be y

The total is x+y

The shop sold 8 more Sundaes than the Banana split

x=8+y—-------1

Total amount made = $156

Therefore the system of equation for the situation is

x=8+y----—----------1

2x+3y=156---------2

But x=8+y

8+y+y=156

8+2y=156

2y=156-8

2y=148

Divide both sides by 2

y=148/2

y=74

On That day they sold $74 banana split

And also they sold x=8+74=$82 sundaes

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3 years ago
Only answer #5 <br><br><br>Please help me and thx and if u can answer #6 too if u can
Marianna [84]

Answer:

5. D

6. C

Step-by-step explanation:

<u>Question 5</u>

Lets plug in values of x and y into each equation to see which one works for the entire data set...

y=2x-4

1) Plug in -7 as x and -18 as y:

-18=2(-7)-4

2) Multiply:

-18=-14-4

3) Subtract:

-18=-18

The answers are the same, therefore the correct answer to question 5 is equation D. Keep in mind, you want to check ever single pair of points to make sure it works for all of them, I'm just not going to list that as it would make this answer a lot longer for no reason.

<u>Question 6:</u>

We know that the cost for the boat is $25 as a base price, and also costs an additional $1.30 per day for fuel.

The correct equation is C=25+1.30d, because we are adding 1.3 every single day.

4 0
3 years ago
You roll a fair 6-sided die. what is the probability rolling greater than 4
Readme [11.4K]

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when you roll this die: 1,2,3,4,5 and 6. Of these, only 5 and 6 are greater than 4, which is 2 successful outcomes. Probability is successful outcomes/total outcomes = 2/6 = 1/3. Hope this helps!

6 0
3 years ago
Which is the graph of f (x) = 4 (1/2) Superscript x?
miss Akunina [59]

Answer:

Option (2) is correct graph.

Step-by-step explanation:

Given:

The function to graph is given as:

f(x)=4(\frac{1}{2})^x

Now, the above function is an exponential function of the form f(x)=ka^x

Where, 'k' and 'a' are constants.

The range of an exponential function is always greater than 0.

The domain is all real numbers.

Now, for graphing it, we need to find some points on it and its end behaviour.

Now, for x = 0, the function value is given as:

f(0)=4(\frac{1}{2})^0=4

So, (0, 4) is a point on the graph.

Now, for x = 1, the function value is given as:

f(1)=4(\frac{1}{2})^1=4\times\frac{1}{2}=2

So, (1, 2) is another point on the graph.

Now, for x = 2, the function value is given as:

f(2)=4(\frac{1}{2})^2=4\times\frac{1}{4}=1

So, (2, 1) is another point on the graph.

Now, as 'x' tends to ∞, the function value tends to:

f(x\to\infty)=4\cdot\frac{1}{2}^{\infty}=\frac{4}{\infty}=0

So, as

x\to\infty,f(x)\to0\\\\x\to-\infty,f(x)\to\infty

Now, from among all the options, only option (2) fulfills all the conditions given above.

So, option (2) is correct graph.

5 0
3 years ago
solve the problem make sure your answer is in simplest form and inproper fractions are expressed as mixed numbers 3/5 x 4/5 =
erastova [34]
3/5 • 4/5 = 12/25.

This would be the solution to the above question, simply multiply both the numerator and denominator together to get the final answer.
6 0
3 years ago
Read 2 more answers
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