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3 years ago

6

At each stop, you get a snack. Stop 1 you spent a total of $12.50 and gave the cashier $15. How much change did you receive back

?

2 answers:

goldfiish [28.3K]3 years ago

4 0

Answer:

2 dollars and 50 cents

Step-by-step explanation:

Nataliya [291]3 years ago

3 0

Answer:

$2.50

Step-by-step explanation:

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A boy's age is three times the age of his sister. Their ages together total 16 years.

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Sister's age: 4

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2 years ago

|x|-2≤3<br>|x+1| +5<7 how do I shove this

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$3. < \leqslant {?}^{2}$

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3 years ago

Let n be a natural number. Show that 3 | n3 −n

Vladimir [108]

Let $n=1$ . Then $n^3-n=1^3-1=0$ . By convention, every non-zero integer $n$ divides 0, so $3\vert n^3-n$ .

Suppose this relation holds for $n=k$ , i.e. $3\vert k^3-k$ . We then hope to show it must also hold for $n=k+1$ .

You have

$(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)$

We assumed that $3\vert k^3-k$ , and it's clear that $3\vert 3(k^2+k)$ because $3(k^2+k)$ is a multiple of 3. This means the remainder upon divides $(k+1)^3-(k+1)$ must be 0, and therefore the relation holds for $n=k+1$ . This proves the statement.

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3 years ago

The variable z is directly proportional to x, and inversely proportional to y. When x is 6 and y is 6, z has the value 12.

dalvyx [7]

z is directly proportional to x: z = kx.

If z is directly proportional to x and inversely proportional to y, then z = Kx/y.

When x= 6 and y = 6, z is 12. Find the constant of proportionality, K:

12 = K(6/6), or K = 12

Then, in general, z = 12x/y.

What is z when x=13 and y=10? z = 12(13)/(10) = 15.6 (answer)

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3 years ago

13) Mark walks 3.4 miles per day. How<br> many days will it take him to walk 17.34<br> miles?

HACTEHA [7]

Answer:

5.1 days

Step-by-step explanation:

$3.4 \: miles = 1 \: day \\ 17.34 \: miles \: = x \: days$

Cross Multiply

$3.4x = 17.34$

Divide both sides of the equation by 3.4

$\frac{3.4x}{3.4} = \frac{17.34}{3.4}$

$x = 5.1$

8 0

3 years ago

Read 2 more answers