1) The garden gate costs $149.49; it is on sale for 10% off. What will be the amount of discount?

2) What will be the new sale price?

3) If there is a 5.5% tax on the purchase price, what will the taxes be?

4) What will be the total bill with the sales tax for the garden gate when it is on sale?

5) Bob paid $24.89 for a racket for racket ball. He sold it to Steve for $35.00 . How much was Bob's markup?

6) What percent of change did Bob use to price the racket to Steve?

Answer:

Distributive property is when you multiply or add the numbers in the parentheses equally to the number outside the parentheses.

That probably isn't a good answer, here's what I found on google:

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Step-by-step explanation:

I'll do #10 as an example:

(x-5)y

distribute the numbers-  y(x)-y(5)

without the parentheses-  yx-y5

you can't really get an answer by multiplying a number and a variable, or a variable and a variable, so you just leave them and take the parentheses.

Here's #11:

-4(2a-3b+c)

distribute the numbers-  (-4*2a)-(-4*3b)+(-4c)

solve-  -4*2= -8

-4*3= -12

-8a-(-12)b+4c

*I dunno how to use parentheses for negative numbers but what I did for distributing is pretty much the same thing

Hope this helps you.

Answer:

M<1 = 106

M<2 = 74

M<3 = 106

M<4 = 74

M<5 = 106

M<6 = 74

M<7 = 106

M<8 = 74

Step-by-step explanation:

Answer:

A. 4 7/24

Step-by-step explanation:

subtract 15 - 11 which equals 4

then do 5/15 - 1/8 =7/24

Answer:

Step-by-step explanation:

y + 2 = 12(x - 3)

y + 2 = 12x - 36

y =12x - 38

The required equation of the line passing through (3, -2) and parallel to the line represented by y = 12x - 2 is y = 12x - 38.

Slope is usually denoted by m.

Slope is defined as the change in the value of the y coordinates with respect to the change in the value of x coordinates.

Equation of a line in slope intercept form is y = mx + c where m is the slope and c is the y-intercept.

y-intercept is the y coordinate when x coordinate equals zero.

It is given that the required line is parallel to y = 12x - 2.

Comparing with the slope intercept form of the line, the slope of  y = 12x - 2 is 12.

Slope of two parallel lines are equal.

So the slope of the required line = 12

It is also given that required line passes through the point (x, y) = (3, -2).

Substituting these values,

-2 = (12 × 3) + c

-2 = 36 + c

c = -2 - 36

c = -38

So the required equation is found by substituting m = 12 and c = -38.

y = 12x - 38

Hence the equation of the line passing through (3, -2) and parallel to the line y = 12x - 2 is y = 12x - 38.

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Answer:

use math-way it will really helps

Answer:

I believe its 15 because when substituting the number 15 means that when working the question out, both sides equal to the same number if x is equal to 1 for example

Answer:

Step-by-step explanation:

5g + 12 = 2g + 18

3g + 12 = 18

3g = 6

g = 2

Answer:

g = 2

Step-by-step explanation:

Given

5g + 12 = 2g + 18 ( subtract 2g from both sides )

3g + 12 = 18 ( subtract 12 from both sides )

3g = 6 ( divide both sides by 3 )

g = 2

Answer:

75 * 1000 = 75000

75000 gram

Step-by-step explanation:

1 kg = 1000g, so the answer is simple (kg * 1000 = g)

Answer:

It would be -1/2

Step-by-step explanation:

-2--3/0-2=-1/2

Answer:

Common Types of Variables. Categorical variable: variables than can be put into categories. ... Confounding variable: extra variables that have a hidden effect on your experimental results. Continuous variable: a variable with infinite number of values, like “time” or “weight”.

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

Answer:

can you plz help me find trenton aka trent

Step-by-step explanation:

Answer:

prove it by S.S.S axiom bro

Step-by-step explanation:

statement                                reason

1.in triangle ADB and ADC

a. AB=AC                                    a.given

b.BD=CD                                     b. radii of same circle

c. AD=AD                                      c. common side

2. ∵triangle ADB is congurent to 2. by S.S.S axiom

  ADC

Answer:

AD cuts BC at I => I is the midpoint of BC => BI = CI

ΔAIB and ΔAIC have:

AB = AC

BI = CI

m∠ABC = m∠ACB ( because ΔABC is a  isosceles triangle)

=> ΔAIB ≅ ΔAIC (sas)

=> m∠BAD = m∠CAD

ΔADB and ΔADC have:

m∠BAD = m∠CAD

AB = AC

AD is the common edge

=> ΔADB ≅ ΔADC (sas)

Step-by-step explanation:

Answer:

Brand b

Step-by-step explanation:

Answer:

Nice Shoes..

Step-by-step explanation:

The answer is 16 to the 4th power for #1     89c for #2         and 29f for the third

Answer:

a). Nadia made a total of $825 last week in commission sales

b). The total amount Nadia in commission in 2011=$42,900

Step-by-step explanation: Step 1

Express the amount in commission she earns from her sales as follows;

C=S×r

where;

C=commission earned

S=total value of stock sales

r=commission rate

In our case;

C=unknown

S=$7,500

r=11%=11/100=0.11

replacing;

C=11% of 7,500

C=(11/100)×7,500

C=0.11×7,500=825

Nadia made a total of $825 last week in commission sales

b). To express the total amount she made in 2011, we derive the formula below;

Total amount (2011)=Average weekly commission×number of weeks in 2011

where;

Average weekly commission=$825

number of weeks in 2011=52

replacing;

Total amount (2011)=(825×52)=42,900

The total amount Nadia in commission in 2011=$42,900

Answer:

jjhjjh

Step-by-step explanation:

nn

Answer:

8,000 is 1,000 times bigger than 8

Answer:

1,000 times bigger because you have to add the 0's in it.

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

41:2= 20 with remainder of 1

41:4=10 r:1

41:5=8 r:1

41:8=5 r:1

41:10=4 r:1

Answer:

x = 28 (So it takes 28 hours for the temperature to reach 0°C.)

y = -70 (So the temperature when the experiment begins is −70°C.)

Step-by-step explanation:

To find the the x value, you remove the y value or replace it with 0.

0 = 5/2x - 70

Next you move the variable.

70 (2/5) = x           (multiply 70 by 2 to get 140 and divide that by 5)

And now you simplify to get:

28

To find the y value, you remove the x value or replace it with 0.

y =  0 - 70

And now you simplify to get:

-70

x = 28

y = -70

x = 28 (So it takes 28 hours for the temperature to reach 0°C.)

y = -70 (So the temperature when the experiment begins is −70°C.)

Answer:

1756.5

Step-by-step explanation:

you just move the dot 2 to the right when it is positive. When it is negative you move the dot to left.

Answer:

1756.5

Step-by-step explanation:

10^2 will equal 100, so you multiply 17.565 by 100. Move the numbers to the left twice and you get 1756.5

Answer:

okaaaay. this is 10 units to the y axis...

Step-by-step explanation:

Answer:

Vertex: (2, -1)

Zeros: 1 and 3

End behavior: both are inf

Step-by-step explanation:

examine the graph carefully. The vertex is the center of the line.  Zeros is where the line touches the x -axis

c and e are expressions.

b is an equation.

a and d are inequalities.

Expressions are the only ones WITHOUT an 'equals', 'greater', or 'less than'.

( = , > ,. < )

Answer: 16 acres

Step-by-step explanation: we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

Step-by-step explanation:

Answer:

The surrounding air

Step-by-step explanation:

Answer:

the surrounding air

Step-by-step explanation:

The deposits and withdrawals that require manager approval are:

-$1,600 (since it changes the balance by more than $1,000)

-$2,505 (since it changes the balance by more than $1,000)

What are the deposits and withdrawals?

A deposit is a money put into a bank account for safekeeping until you need it. A withdrawal is a money that's taken out of your account.

The deposits and withdrawals that require manager approval are:

-$1,600 (since it changes the balance by more than $1,000)

-$2,505 (since it changes the balance by more than $1,000)

The deposits and withdrawals that do not require manager approval are:

-$875 (since it changes the balance by less than $1,000)

$1,304 (since it changes the balance by less than $1,000)

$1,001 (since it changes the balance by less than $1,000)

$451 (since it changes the balance by less than $1,000)

Therefore, The deposits and withdrawals that require manager approval are:

-$1,600 (since it changes the balance by more than $1,000)

-$2,505 (since it changes the balance by more than $1,000)

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Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.

never true is always 180

Answer:

10

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

4x+100+3x+79=32

7x+179=32

7x=-147

x=-21

Now, plug in the numbers.

3(-21)+79=-61+79

=18

Hope I helped! Please mark Brainliest!!!