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3 years ago

12

Marissa bought x shirts that cost $19.99 each and y pairs of shorts that cost $14.99 each. The next day she went back to the sto

re and bought 3 more shirts that cost $19.99 each and 4 more pairs of shorts that cost $14.99 each. Which expression represents the total amount Marissa spent? StartFraction x + 3 over 19.99 EndFraction + StartFraction y + 4 over 14.99 EndFraction StartFraction 3 x over 19.99 EndFraction + StartFraction 4 y over 14.99 EndFraction 19.99 (x + 3) + 14.99 (y + 4) (3 x) 19.99 + (4 y) 14.99

2 answers:

zlopas [31]3 years ago

7 0

Answer:

<h2>19.99(x+3)+ 14.99(y+4)</h2>

Step-by-step explanation:

Step one:

given data

day one

x shirts that cost $19.99 each and

y pairs of shorts that cost $14.99 each.

Day two

3 more shirts that cost $19.99 each and

4 more pairs of shorts cost $14.99 each.

Step two:

the total number of shirts is

x+3

and the total number of shorts is

y+4

The total cost is ex[ressed as

19.99(x+3)+ 14.99(y+4)

galben [10]3 years ago

3 0

Answer:

its c!!

Step-by-step explanation:

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12. The sum of two consecutive integers is 59. Write an

katovenus [111]

Step-by-step explanation:

Equation=>x+x+1=59

2x=58

x=29

the numbers are 29 and 30

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2 years ago

What is the volume of a rock if it has a density of 1.25g/ml if it has a mass of 7525g?

Rama09 [41]

Answer:

$\boxed{\tt v= 6,020 \ mL}$

Step-by-step explanation:

The density formula is

$d=\frac{m}{v}$

Rearrange the formula for v. Multiply both sides of the formula by v, then divide both sides by d.

$d*v=\frac{m}{v}*v$

$d*v=m$

$\frac{dv}{d}=\frac{m}{d}$

$v=\frac{m}{d}$

The volume can be found by dividing the mass by the density. The mass is 7525 grams and the density is 1.25 grams per milliliter.

$m= 7525 \ g\\d=1.25 \ g/mL$

$v=\frac{m}{d}$

$v=\frac{7525\ g}{1.25\ g/mL}$

Divide. Note that the grams, or "g" will cancel each other out.

$v=\frac{7525 \ }{1.25\ mL}$

$v=6020 \ mL$

The volume of the rock is 6,020 milliliters.

7 0

3 years ago

Read 2 more answers

Btw, the 2nd to last worth says 9th<br> Please solve and explain #1

Amiraneli [1.4K]

81,27, 9, 3, 1 just guess

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3 years ago

Suppose the Tower of Hanoi rules are changed so that stones may only be transferred to an adjacent clearing in one move. Let In

Svet_ta [14]

Answer:

$l_n=3^n-1$

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,

$l_n=3^n-1$

We will prove our base case (when n=1) to be true:

Base case:

As stated in the qustion, $l_1=2=3^1-1$

Inductive hypothesis:

Given a natural n,

$l_n=3^n-1$

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:

Move the first n stones from A to C ( $l_n$ moves).
Move the biggest stone from A to B (1 move).
Move the first n stones from C to A ( $l_n$ moves).
Move the biggest stone from B to C (1 move).
Move the first n stones from A to C ( $l_n$ moves).

Then,

$l_{n+1}=3l_n+2$ .

Therefore, using the inductive hypothesis,

$l_{n+1}=3l_n+2=3(3^n-1)+2=3^{n+1}-3+2=3^{n+1}-1$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural n,

$l_n=3^n-1$

8 0

3 years ago

A box contains eighteen $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill. You blindly reach into the

zubka84 [21]

Answer: $7.70

Step-by-step explanation:

Given : A box contains eighteen $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill.

Total bills = $18+10+8+3+1=40$

We know that probability of any event = $\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

i.e. the probability of getting $1 bills = $P(E_1)=\dfrac{18}{40}=0.45$

Probability of getting $10 bills = $P(E_2)=\dfrac{10}{40}=0.25$

Probability of getting $5 bills = $P(E_3)=\dfrac{8}{40}=0.2$

Probability of getting $20 bills = $P(E_4)=\dfrac{3}{40}=0.075$

Probability of getting $100 bills = $P(E_5)=\dfrac{1}{40}=0.025$

$\text{Expected value =}1\times P(E_1)+5\times P(E_2)+10\times P(E_3)+20\times P(E_4)+100\times P(E_5)\\\\=1\times 0.45+5\times 0.25+10\times0.2+20\times 0.075+100\times 0.025\\\\=7.7$

Hence, the expected value of your draw= $7.70

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4 years ago