A store has clearance items that have been marked down by 60% they are having a sale advertising an additional 30% off clearance items. What percent of the original price do you end up paying?

The measure of each of the supplementary angles are: 88.6° and 91.4°.

Based on the definition of supplementary angles, the sum of two angles that are supplementary equals 180 degrees.

Given the following:

Let one of the angles equal x

The second angle would be expressed as: x + 2.8

Therefore, we would have the equation:

x + 2.8 + x = 180 [supplementary angles]

2x + 2.8 = 180

2x = 180 - 2.8

2x = 177.2

x = 177.2/2

x = 88.6

Thus:

One of the angles = x = 88.6°

Th second angle is: x + 2.8 = 88.6 + 2.8 = 91.4°

Therefore, the measure of each of the supplementary angles are: 88.6° and 91.4°.

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Answer:

No, it is not true.

Perpendicular lines meet one another at 90°​.

Answer:

It is false

Step-by-step explanation:

It is false because perpendicula line meet in 90 degree

The equation of this linear equation is f(x) = 9/7(x - 1) + 2

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

f(−6) = −7, f(1) = 2

Start by calculating the slope (m) using

m = [f(-6) -f(1)]/[-6 - 1]

This gives

m = [-7 - 2]/[-6 - 1]

Evaluate

m = 9/7

The linear equation is then calculated as

f(x) = m(x - x1) + f(1)

So, we have

f(x) = 9/7(x - 1) + 2

Hence, the equation of this linear equation is f(x) = 9/7(x - 1) + 2

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Answer:

0.14×0.25= 0.035 KM

so it can travel 0.035KM in 0.25 hr

Answer:

0.035 kilometers

Step-by-step explanation:

Proportions:

0.14 kilometers ⇒ 1 hour

A kilometers ⇒ 0.25 hour

A = 0.14 kilometers * 0.25 hour / 1 hour

A = 0.035 kilometers

The number of combinations of five can the teacher choose from the eight questions is 56

The given parameters are

Total questions, n = 8

Selected question, r = 5

The number of combinations of five can the teacher choose from the eight questions is calculated using

Combination = [tex]^nC_r[/tex]

This gives

Combination = [tex]^8C_5[/tex]

Apply the combination formula

Combination = 8!/3!5!

Evaluate

Combination = 56

Hence, the number of combinations of five can the teacher choose from the eight questions is 56

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This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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Answer:

#1) & #5) are the rates that have the same constant rate of change as Micheal's rate.

All cookies are made with sugar Oreos are a cookie so Rosa knows Oreos are made with sugar is Inductive.

A cookie is a compact, flat, and sweet baked or cooked snack or dessert. It is often made using flour, sugar, an egg, and some kind of oil, fat, or butter. Other components such as raisins, oats, chocolate chips, almonds, and so on may be used.

Sandwich biscuits with marshmallows or jam filling and often dipped in chocolate or another sweet coating, such as custard creams, Jammie Dodgers, Bourbons, and Oreos, are examples of biscuit or cookie varieties. Cookies are frequently served with liquids such as milk, coffee, or tea, and are occasionally "dunked," a method of releasing more flavor from confections by diluting the sugars and reducing their texture.

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Answer:

see explanation

Step-by-step explanation:

using the rules of exponents

[tex]\frac{1}{a^{m} }[/tex] = [tex]a^{-m}[/tex]

then

[tex]\frac{1}{32}[/tex] = [tex]\frac{1}{2^5}[/tex] = [tex]2^{-5}[/tex]

and

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , so

[tex](2^{-5}) ^{-3x}[/tex]

Answer:

1,700

Step-by-step explanation:

5x10^-7 is 0.0000005, while 8.5x10^-4 is 0.00085

0.00085/0.0000005=1700

Thus5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

Option C is the correct answer.

Given,

5 x [tex]10^{-7}[/tex] and 8.5 x [tex]10^{-4}[/tex]

We need to find how many times smaller is 5 x [tex]10^{-7}[/tex] than 8.5 x [tex]10^{-4}[/tex].

Exponents are the power of a given number.

Example: a²

a - base

2 - exponent

Compare 5 x [tex]10^{-7}[/tex] and 8.5 x [tex]10^{-4}[/tex].

5 x [tex]10^{-7}[/tex]  can be written as 5 / 10000000

8.5 x [tex]10^{-4}[/tex] can be written as 8.5 / 10000

Now,

5 / 10000000 = 0.0000005

8.5 / 10000 = 85 / 100000 = 0.00085

We see that,

0.0000005 is less than 0.00085

Now,

0.0000005 x 1700 = 0.00085

5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

We can also write as:

5 x [tex]10^{-7}[/tex] x 17 x 10 ²  

= 5 x 17 x [tex]10^{-7}[/tex] x 10²

= 85 x [tex]10^{-7 + 2}[/tex]

= 85 x [tex]10^{-5}[/tex]

= 85/10 x 10 x [tex]10^{-5}[/tex]

= 8.5 x [tex]10^{-5 + 1}[/tex]

= 8.5 x [tex]10^{-4}[/tex]

Thus 5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

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given points P( 13 ,14) and Q( 18,9 )

we have to calculate distance

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}d = distance(x_1, y_1) = coordinates of the first point(x_2, y_2) = coordinates of the second point[/tex]

d= [tex]\sqrt{( 18-13)^2+(9-14)^2}[/tex]

d=5[tex]\sqrt{2}[/tex]

now calculating midpoints

s= 13+18 /2 =31/2

t= 14+9 / 2= 23/2

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The equivalent form of the compound inequality where the compound inequality is given as  -22 > -5x - 7 ≥ -3 is -15 > -5x  ≥ 4

The compound inequality is given as

-22 > -5x - 7 ≥ -3

Add 7 to all sides of the compound inequality

So, we have

7 -22 > -5x - 7 + 7 ≥ -3 + 7

Evaluate the sum in the above compound inequality

So, we have

-15 > -5x  ≥ 4

Hence, the equivalent form of the compound inequality where the compound inequality is given as  -22 > -5x - 7 ≥ -3 is -15 > -5x  ≥ 4

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Answer: mark as brainliest please

Step-by-step explanation:
V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

Answer:

-9

Step-by-step explanation:

5h+2(11−h)=−5

5h + 22-2h = -5

3h = -27

h = -9

Answer:

The end point is (8,-18)

Step-by-step explanation:

The amount of money Nancy has is $12.5.

Given that, Steve has $5. Nancy has 250% as much money as Steve.

We need to find out how much money Nancy has.

A specific portion or amount in every hundred is what is meant by the term percentage. It is a fraction with the denominator 100, and the symbol for it is "%."

Let the amount of money Nancy has to be x.

Now, x=250% of 5

=250/100 × 5

=2.5 × 5

=12.5

Therefore, the amount of money Nancy has is $12.5.

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Answer:

the answer is to the question is 691648

Based on the fact that the shape of the given square is dilated with a scale factor, the result would be the first square with a dimension of 3.

The Dilation is to be with a scale factor of 1/3.

This means that the dimensions on the new shape will be:

= Dimensions on original shape x scale factor

= 9 x 1/3

= 9/3

= 3

Dilation does not change the shape of an object so the result of the Dilation would be the first square with a side measurement of 3.

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Mary has left with a 1 kilometer  i.e. [tex]\frac{2}{7}[/tex] of the journey is incomplete

Given that Mary is going for a 3.5 km walk. So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill and asked to find the  fraction of the walk she has left

Total journey distance = 3.5 kilometers

Distance walked by mary on the bridge=0.6 kilometers

Distance walked by mary through the park=1.55 kilometers

Distance walked by mary up the hill=0.35 kilometers

Total distance traveled by mary=(0.6+1.55+0.35)kilometers

Total distance traveled by mary=2.5 kilometers

The distance left=3.5 kilometers-2.5 kilometers

The distance left=1 kilometer

1 kilometer is  [tex]\frac{2}{7}[/tex] of the journey by assuming 3.5 kilometer will complete the jouney

Therefore, Mary has left with a 1 kilometer  i.e. [tex]\frac{2}{7}[/tex] of the journey is incomplete

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Answer:

{2,3,5,6,8}

Step-by-step explanation:

U={1,2,3,4,5,6,7,8}

A{3,4,5,6}

B{1,4,8}

C{2,3,4,5,6}

We are to find

{A' n B} U {A' n C'}

={3,5,6,8}. U. {2}

= {2,3,5,6,8}

================================================

Work Shown:

Recall that the imaginary number i has the definition of [tex]i = \sqrt{-1}[/tex]

List out the first few powers of i

I'm skipping steps when I listed out those terms, so let me know if you need to see them.

The process repeats every 4 items. This means we'll divide the exponent by 4 to look at the remainder.

Let's do that for the first exponent

12/4 = 3 remainder 0

The remainder 0 tells us that i^12 = i^0 = 1

Also,

22/4 = 5 remainder 2

The remainder 2 means i^22 = i^2 = -1

-------------------

In short:  i^12  = 1 and i^22 = -1

which means 6i^12 + 7i^22 = 6(1) + 7(-1) = -1

Answer:

will be 1

Step-by-step explanation:

..............

Answer:1

Step-by-step explanation:

Answer:

15x = 15x

or

0 = 0

Step-by-step explanation:

21(x + 1) - 6x = 15x + 21

21x + 21 -6x = 15x + 21

21x - 6x = 15x

15x = 15x

or

0 = 0

this equation is always true

Answer: x-2=2 (x=4)

Step-by-step explanation:

4 minus 2 equals 2

By using a linear equation, we can see that after the 19 day the population will be less than 1000 mold spores.

We know that the population decays at a rate of 30 spores per day, and we have an initial population of 1560 mold spores.

Then, the population of spores after x days is given by the linear equation:

P(x) = 1560 - 30*x

The population will be exactly 1000 spores when:

P(x) = 1000 =  1560 - 30*x

We need to solve that for x.

30x = 1560 - 1000 = 560

x = 560/30 = 18.67

So after 18.67 days the population is 1000, this means that after the 19 day the population will be less than 1000 mold spores.

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Answer:

The given Divisor = 405 and Dividend = 48849

The Quotient is 120 and the Remainder is 249

Hope it helps you

Answer: yes only if the number is negative itself.

Step-by-step explanation:  [tex]-3^{3}[/tex] = -27

explanation: -3 x -3 x -3 = 9 x -3 = -27

The gross pay for the week is $776.66.

From the information, he worked these hours from Monday through Saturday last week: 8.2, 8.9, 10.1, 9.6, 8.8, and 6.7.

Therefore, the gross pay will be:

= (8.2 + 8.9 + 10.1 + 9.6 + 8.8 + 6.7) × $14.85

= 52.3 × $14.85

= $776.66

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The box will be able to hold 112 balls

Williams needs a golf box to hold his collection of balls

He discovered that 8 layers can fit in a box and each of these 8 layers can hold 14 balls

Therefore the number of golf balls the box can hold can be calculated as follows

= 8 × 14

= 112

Hence the box can hold 112 balls

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