Write the slope-intercept form of equation.


9x + 3y = 27

A discount is the amount of money that is removed from the original price. The original price of the dishwasher is  $438.

A discount is the amount of money that is removed from the original price of a commodity when it is being sold.

We know that the commodity is being sold that a price of $361.35 but the discount is 17.5% and we are to obtain the original price of the commodity.

Let the original price be x

x - 17.5/100x = 361.35

82.5x/100 =  361.35

x =  361.35 * 100/82.5

x =  $438

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Answer:

43.7683

Step-by-step explanation:

When multiplying by 10s, the decimal point moves. Since it is a fraction, making it lesser than an actual 10, the decimal point moves one space to the left (instead of right)

437.683

Take away 430 because we don't need it for this step

7.683

10% of 7.683 = 0.7683

add back 43

your answer is:

43.7683

hope this helps :)

Answer:

4/5=.80

4/.80= 5

5*7= 35

You can make 35 granola bars with 4 cups of chocolate chips.

I hope this helps!

The number of batches of granola bars the company make in the day is 22.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Quaker uses 14 of a barrel of chocolate chips to make each batch of their Chewy marshmallow chocolate chip granola bars.

Number of batches = Total barrels of chocolate chips/Number of a barrel of chocolate chips

= 312/14

= 22.28

≈ 22

Therefore, the number of batches of granola bars the company make in the day is 22.

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Answer:

Percentage of Democratic primary voters

Step-by-step explanation:

Answer: C (the percentage of democratic primary voters)

Step-by-step explanation: took the test on edge

The true statements about the figure are:

Volume = 1/3(length)(width)(height)

The volume of the composite figure = sum of the volume of each rectangular pyramids.

The two pyramids have the same height and base. Therefore:

Volume of the composite figure = 2[1/3(length)(width)(height)] = 2[1/3(9)(1.5)(5)]

Volume of the composite figure = 45 units³

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Answer:

A,D

Step-by-step explanation:

Answer:

27 cm²

Step-by-step explanation:

Shaded Area = Area ABCE - Area AED

Answer:

27 sq cm

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of triangle

= 6*6 -1/2(6)(3)

= 36 - 9

= 27 sq cm

Answer:

72,000 meters

Step-by-step explanation:

Seconds in 1 hour = 3600

20 meters = 1 second

3600x20= 72000 meters

Is this correct guys? It's how i did it

Answer:

4.125

Step-by-step explanation:

33 divided by 8 and you get 4.125

Answer:

3 with an arrow pointing to the left

Step-by-step explanation:

Answer:

I hope I help you

have a nice day

Answer:

Option B 1/64

Step-by-step explanation:

[tex]\frac{4^{-\frac{11}{3} } }{4^{-\frac{2}{3} } } =4^{-11/3+2/3} =4^{-9/3} =4^{-3} =\frac{1}{4^{3} }=\frac{1}{64}[/tex]

Hope this helps

Answer:

Step-by-step explanation:

Angles DAB and BAC are supplementary angles because they form a straight line, meaning they add up to 180°.

[tex]\sf \angle DAB+\angle BAC = 180^o[/tex]

[tex]\sf 123^o+\angle BAC=180^o[/tex]

[tex]\boxed{\sf \angle BAC= 57^o}[/tex]

Interior angles of a triangle always add up to 180°:-

[tex]\sf \angle ABC +\angle BAC+\angle x= 180^o[/tex]

[tex]\sf 58^o+57^o+\angle x=180^o[/tex]

[tex]\boxed{ \sf \angle x=65^o}[/tex]

_________________________

Answer:

  14 ohms

Step-by-step explanation:

The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.

__

The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)

The longer wire will have a resistance of 14 ohms.

A root of f(k) is x=k. Option C is correct.The numbers we're multiplying are factors of the product since they're divisible by it.

A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,

The factor of the f(x) is given as;

[tex]\rm (x+k)[/tex]

The factors satisfy the equation as;

[tex]\rm (x+k)=0 \\\\ x=-k[/tex]

Hence one root of f(x) is x = -k, The correct answer is option C.

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Answer:

Option C

Step-by-step explanation:

multiply quantity of each and add them together to get total of 540

2s + 5c = 540 or 5c + 2s = 540

The difference in pages is 19 so you would subtract: c-s = 10

answer would be

d: c-s = 10

5c + 2s = 540

Answer:

Step-by-step explanation:

[tex]\dfrac{8^2 \cdot 4^{-3}}{2^4\cdot 8^{-2}}\\\\\\=\dfrac{(2^3)^2\cdot(2^2)^{-3}}{2^4\cdot (2^3)^{-2}}\\\\\\=\dfrac{2^6\cdot2^{-6}}{2^4\cdot 2^{-6}}\\\\\\=\dfrac{2^6}{2^4}\\\\\\=2^{6-4}\\\\\\=2^2\\\\\\=4[/tex]

Using the areas of the rectangle and of the square, it is found that 24 unit squares will be used to tile the rectangle.

The area of a square of side l is given by the square of l, that is:

A(l) = l².

In this problem, we have that [tex]l = \frac{1}{10}[/tex], hence the area is given by:

[tex]A = \left(\frac{1}{10}\right)^2 = \frac{1}{100} = 0.01[/tex]

The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:

A = lw.

In this problem, we have that the measures are:

[tex]l = \frac{3}{10}, w = \frac{4}{5}[/tex]

Hence:

[tex]A = lw = \frac{3}{10} \times \frac{4}{5} = \frac{12}{50} = \frac{24}{100} = 0.24[/tex]

The area of the rectangle is 24 times the area of the square, hence 24 unit squares will be used to tile the rectangle.

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The number of unit squares with a side length  of 1/10 foot that Rhys uses to tile the rectangle is 24 units

A square is a plane shape with 4 sides

The formula for calculating the area of the square is expressed as:

A = l^2

Given

side length of a square = 1/10 foot

A = (1/10)² = 1/100 = 0.01 square foot

Determine the area of the rectangle

Area = length * width

Area = 3/10 * 4/5
Area = 12/50 = 6/25
Area = 0.24 square foot

Take the ratio of both areas

Ratio = 0.24/0.01

Ratio = 24 units

Hence the number of unit squares with a side length  of 1/10 foot that Rhys uses to tile the rectangle is 24 units

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[tex]xz = 2 \times xyz = 2 \times 72 = 144[/tex]

Answer:

144

Step-by-step explanation:

72*2=144

Answer:

To find the product of 568.32 and [tex]10^{4}[/tex], move the decimal point in 568.32 4 places to the right because [tex]10^{4}[/tex] has 4 zeros.

Step-by-step explanation:

[tex]10^{4}[/tex] = 10000

568.32 · 10000 = 5683200

the decimal point moved 4 places to the right because 10000 has 4 zeros.

hope this helps!

Answer:

B

Step-by-step explanation:

[tex] \frac{1}{40} + x = \frac{1}{8} [/tex]

[tex]40( \frac{1}{40}) + (40)x = 40( \frac{1}{8} )[/tex]

[tex]1 + 40x = 5 \times 1[/tex]

[tex]1 + 40x = 5[/tex]

[tex]40x = 5 - 1[/tex]

[tex]40x = 4[/tex]

[tex] \frac{40x}{40} = \frac{4}{40} [/tex]

[tex]x = \frac{1}{10} [/tex]

Answer:

1/10

Step-by-step explanation:

Answer12

Step-by-step explanation:

2

Answer:

Given :-

To Find :-

Solution :-

Volume = l ×b ×h /3

Volume = 4.5 × 4.5 × 5 cm/3³

Volume = 101.25/3 cm³

Volume = 33.75 cm³

Answer:

Step-by-step explanation:

After reading question we can understand that the all these measurements are of pyramids .

So In the question we are given ,

We know that in pyramid length and width are equal to base of a square . Therefore ,

[tex] \rightarrow \blue{\boxed{ \sf{Volume \: of \: pyramid = \frac{lwh}{3} }}}[/tex]

Where ,

Now , substituting values of l , w and h :

[tex] \longmapsto \: \frac{4.5 \times 4.5 \times 5}{3} [/tex]

Now , by multiplying 4.5 , 4.5 and 5 , We get :

[tex] \longmapsto \: \frac{101.25}{3} [/tex]

Now , by dividing 101.25 by 3 , We get :

[tex] \longmapsto \: \red{\boxed{33.75}}[/tex]