Kim saved $250 to buy new clothes for her summer vacation. She found several items she would like to buy, but is trying to decide if she has enough money to buy all the items she likes. She found a bathing suit for $35, two pairs of shoes for $15 each and five shirts with an average cost of $17 per shirt. She will have to pay 6% sales tax. If she buys all of the items, how much sales tax will she have to pay?

Answer/Step-by-step explanation:

a. 3x + 13 = 12x - 2x

Add like terms

3x + 13 = 10x

3x = 10x - 13 (subtraction property of equality)

3x - 10x = - 13 (substraction property of equality)

-7x = -13

-7x = -13/-7 (division property of equality)

x = 13/7

b. 6j - 12 + 4j - 8 = 10

Add like terms

6j + 4j - 12 - 8 = 10

10j - 20 = 10

10j = 10 + 20 (addition property of equality)

10j = 30

10j/10 = 30/10 (division property of equality)

j = 3

c. 10y - 4y = 14 + 2y - 3y

Add like terms

6y = 14 - y

6y + y = 14 (addition property of equality)

7y = 14

7y/7 = 14/7

y = 2

d. 4p + 8 - 3p = 33

Add like terms

4p - 3p + 8 = 33

p + 8 = 33

p = 33 - 8 (subtraction property of equality)

p = 25

Answer:

Step-by-step explanation:

Let us represent

Let the wood bat = w

Let the base ball bats = b

Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold

System of Equations

w + b = 23.... Equation 1

b = 23 - w

24w + 30b = 606..... Equation 2

We substitute:30 - w for b

Hence:

24w + 30(23 - w) = 606

24w + 690 - 30w = 606

24w - 30w = 606 - 609

-6w = -84

w = -844/-6

w = 14 wood bats

b = 30 - 14

b = 16 base ball bts

Answer:

No

Step-by-step explanation:

You have to do it.

Answer:

210 students

Step-by-step explanation:

1/3 of 620 is 210

Answer:

3,18    4,27

Step-by-step explanation:

Answer:

4:18 and 6:27

Step-by-step explanation:

Since ratios can also be written as a fraction, multiply the fractions by any whole number of your choosing.

2/9*2=4/18

2/9*3=3/27

Answer:

2 1/4

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

A) 12x² y⁵z = 2² * 3 * x² * y⁵ * z

150x⁶y⁵z    = 5² * 2 * 3 * x⁶ * y⁵ * z

66y⁹z   =   2 * 3 * 11 * y⁹ * z

GCF =  2 * 3 * y⁵ * z = 6y⁵z

B) 4x² - 40x + 100 = (2x)² - 2 * 2x * 10 + 10²

                             = (2x - 10)²

C) 81x² - 64 = (9x)² - 8²             {a² - b² = (a + b)(a - b)}

                   = (9x + 8)(9x - 8)

D) (a + b)² = a²+ 2ab + b²

E) a² - b² = (a + b)(a - b)

Answer:

Simplifying 4x2y + 12xy2 + 9y3 Reorder the terms: 12xy2 + 4x2y + 9y3 Factor out the Greatest Common Factor (GCF), 'y'. y(12xy + 4x2 + 9y2) Factor a trinomial.

Step-by-step explanation:

Subtracting Perfect Squares · (a+b)(a-b)=a2-b · Example · 4x2-9= · Subtracting Perfect Cubes · a3-b3=(a-b)( · Adding Perfect Cubes · x3+27=(x+3)(x2-3x+9).

Answer:

listen to the other guy

or girl

Step-by-step explanation:

It will take at least 14 weeks to have at least $500.

The relation between two unequal expressions is defined as inequality.

Given that, the person has $150 in his account and he deposits $25 each week into this account.

The amount in the account after w weeks is:
150 + 25w

Let the amount in the account after w weeks is at least $500, then  it follows:

150 + 25w ≥ 500

25w ≥ 500 - 150

25w ≥ 350

w ≥ 14

Hence, it will take at least 14 weeks to have at least $500.

To learn more about inequalities, click here:

https://brainly.com/question/28823603

#SPJ2

Answer:

The bag costs 1500, while the umbrella cost 500

Step-by-step explanation:

Let the cost of the bag be b and the cost of the umbrella be u

Total cost is;

b + u = 2,000 •••••(i)

From the second part of the question;

b = 5u-1000 ••••••(ii)

Substitute ii into i

5u-1000 + u = 2000

6u = 2000 + 1000

6u = 3000

u = 3000/6

u = 500

To get b, substitute the value of u into equation ii

b = 5(500)-1000

b = 2500-1000

b = 1500

Answer:

215482.5

ep-by-step explanation:

Answer:

2

Step-by-step explanation:

The y-intercept is when the line intersects the y-axis. In this image, you can see that the line intersects at 2 on the y-axis.

Hope this helps! :)

Answer:

x=11

Step-by-step explanation:

because those angles are = to eachother. Therefore, 66=6x which x =11

Answer:

what is it asking like what is the step to do that i think i did that like back in 6th grade or something

Answer:

input output

0        -2

1         3

4        18

6        33

10       48

20      98

Step-by-step explanation:

Answer:

$51

Step-by-step explanation:

Answer: $51

Step-by-step explanation: you have to divide $68 by 16 to see how much it cost per square feet. Then you get 4.25 so you multiple that by 12

Answer:

joan chris martin sara

Step-by-step explanation:

Answer:

Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.

Step-by-step explanation:

This is a system of equations:

C + p = 12

C = 3P

All you need to do is substitute C for 3P in the first equation.

C + P = 12

3P + P = 12

4P = 12

Divide both sides by 4

4P/4 = 12/4

P = 12/4

P = 3

Now, substitute P for 3 in the first equation.

C + P = 12

C + 3 = 12

Subtract 3 from both sides

C + 3 - 3 = 12 - 3

C = 12 - 3

C = 9

C = 9, P = 3

Set up a system of equations in 2 variables.

Answer:

This question can't be answered

Step-by-step explanation:

There are no statements below, can you try taking a screenshot of them?

Answer:

Step-by-step explanation:

Answer:

4,400

Step-by-step explanation:

Hope this helps!

Answer:

(1, 7)

x = 1

y = 7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-5x + 2y = 9

y = 7x

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer: x = 1 and y = 7

Step-by-step explanation:

first you substitude y for 7x

-5x + 2(7x) = 9

then you distribute

-5x + 14x = 9

then you combine like terms

9x = 9

then you divide both sides by 9

x = 1

then you subsitute the x value in the other equations

y = 7(1)

meaning y = 7

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer:

c

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

We use the following rules to round 0.34 to the nearest tenth:

A) If the last digit in the fractional part of 0.34 is less than 5, then simply remove the last the digit of fractional part.

B) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is less than 9, then add 1 to the first digit of the fractional part and remove the second digit.

C) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is 9 then add 1 to the Integer part and make the fractional part 0.

With 0.34, rule A applies and the answer is: 0.3

Answer:

0.3

Step-by-step explanation:

round down because its 4

Answer:

Answer is 10

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

you have to use a^2 + b^2 = c^2

so 12^2 + 16^2 = 144 + 256 = 400

square root of 400 is 20

Answer:

bottom right

Step-by-step explanation:

for the side that says total cost u go up to 4 and for the one that says number of puzzles u go two over

Answer:

-I have attached a photo-

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] would have been the slope and 1 would be the y-intercept.  

Answer:

ummmm I like your picture

Answer:

m is the slope of the equation y=mx+b. TO find the slope you look at the y intercept of the graph, b, and from that point find how much up/down and to the right/left you need to go. For example from point 0, 4, the y intercept, to another point on the graph (any point on the line would work) 2, 8 , I need to go up 4 units and to the right 2 units. The slope is 4/2 or just 2.'

If this is too confusing just find two points on the line in a graph and folow this equation: y2-y1 / x2-x1

where y2 is the y value of the second point, y1 is the y value of the first point, x1 is the x value of the first point and x2 is the value of x in the second point

Step-by-step explanation:

Answer:

In the equation y=mx+b, m is the slope. The formula for slope is [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2} }[/tex], so to solve find any two points on the graph and plug them into the formula. You could also count the difference, remember that slope is the change in y over the change in x. For example, if y increases by 3 units and x increases by 2 units then the slope is 3/2.

Answer:

y=95x+50

Step-by-step explanation: