A book with an original price of $20 has a 15% discount. Which expression represents the new price of the book?
A. $20 × 0.15
B. $20 × 0.985
C. $20 × 1.15
D. $20 × 0.85

Answer:

option 3, 45

Step-by-step explanation:

3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)

3x - 9° + 54° = 180°

3x + 45° = 180°

3x = 180° - 45°

3x = 135°

x = 135/3

x = 45°

therefore, option 3 is the correct option

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[tex] (x + 5)(x - 4)(x + 2) = [/tex]

[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]

[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]

[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]

_________________________________

Compare :

[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]

[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]

Thus :

[tex]a = 3[/tex]

and

[tex]b = - 40[/tex]

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Answer:

72

Step-by-step explanation:

10 times 2 Plus 4 times 3

Answer:

10q + 4 p

=10(2) + 4(3)

=20 + 12

= 32

Answer:

9.99103139013

Step-by-step explanation:

For the rounded version it would be 10.00 rounded to the nearest whole

Answer:

4 (x + 7)

Step-by-step explanation:

Answer:

4(x+7)

Step-by-step explanation:

First, start with the terms x and 7, the expression calls for their sum so addition is the needed operation. Then, 4 times the sum means that 4 must be multiplied after x and 7 are added. So because of PEMDAS parentheses are needed around x+7. Therefore the expression is 4(x+7).

Answer:

7/20

Step-by-step explanation:

Total probability=1

Total probability of selecting either cherry or raspberry=¼+²/5=13/20

Probability of getting sour apple=1-13/20=7/20

Answer: x = 5; y = -5

[tex]\left \{ {{-7x-3y=-20} \atop {3x+6y=-15}} \right. \\\\<=>\left \{ {{-7x-3y=-20} \atop {x+2y=-5}} \right. \\\\<=>\left \{ {{-7(-5-2y)-3y=-20} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{35+14y-3y=-20} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{11y=-55} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{y=-5} \atop {x=5}} \right.[/tex]

Step-by-step explanation:

Answer:

x=5

y=-5

Step-by-step explanation:

Answer:

159 feet of fabric

Step-by-step explanation

We are told that 1 curtain is 36inches long

Since 1 foot = 12inches

x foot = 36inches

Cross multiply;

12 * x = 36

12x = 36

x = 36/12

x = 3

Hence 36inches is same as 3 feet

If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;

1 curtain = 3feet

53 curtain = y

y = 53 *3

y = 159 feet

Hence she will need 159 feet of fabric

i only know the sceond on and its 100

Answer:

5592 pieces of paper

Step-by-step explanation:

Simple multiplication

1398(4)= 5592

Answer:

the equation forms like this

-2/3 divide x =3/10

Solve for  

x

by cross multiplying.

Exact Form:  

x=− 20/9

Decimal Form:

x=−2.¯2

Mixed Number Form:

x=−2  2/9

Answer:

1.375

Step-by-step explanation:

5/8+1/6+7/12

Answer:

226.08 in^2

Step-by-step explanation:

The formula for area of a circle is pi*r^2

3^2 = 9

9*3.14 = 28.26

The formula for volume of a cylinder  is surface area times height

28.26*8=226.08

Answer:

DF=3.75

Step-by-step explanation:

24/6=15/x

cross multiply to get 24x=90

x=3.75

The length of side DF will be 5 units.No more additional information would need to find, all the information is already given.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

All the given information is shown in the figure attached.

Since the two triangles are congruent the ratio of their sides is equal,

BC / EF = AC / EF

Suppose the length of side DF is x.

20/DF=24 /6

20/x = 24 / 6

x = 20 / 4

x=5

DF = 5 units

Thus, the length of side DF will be 5 units.No more additional information would need to find, all the information is already given.

Learn more about the congruent triangle here:

brainly.com/question/12413243

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I think the answer would have to be D. If the diameter, which is the distance from one point on the circle through the center to another point on the circle, is halved then the amount of concrete that will be needed will be multiplied by 4. I think that's right I am so sorry in advance if that was incorrect. Have a beautiful rest of your day. Stay safe. C O V I D - 1 9 IS REAL THIS COULD MEAN YOUR LIFE!!!

Answer: The area of the shaded face is 200.

Step-by-step explanation: All of the sides of the 2 squares have side lengths of 10. Multiply 10 and 10. Then, do that on the other sqaure. Lastly, you add the area of those 2 sqaures.

Answer:

the correct answer choice would be choice C. or 2√2

Step-by-step explanation:

I have the same assignment in odyssey and other brainly user helped me solve this answer :)

have a nice day!

-cherry  

Answer:

2√2

Hello, the answer to your question would be the above.

Please disregard the user who stated otherwise, the assignment does not ask for a decimal, it only asks for the geometric mean.

Hope this helps.

Answer:

y = $1433.33

x = -$700

Step-by-step explanation:

Since we are not asked what to find, we can as well find the price of each package.

Let x be the price of one printer

Let y be the price of one computer.

If Package A contains 4 printers and 9 computers and costs $10,100, this is expressed as;

4x + 9y = 10,100 ..... 1

If Package B contains 10 printers and 30 computers and costs $36,000, this is expressed as;

10x + 30y = 36,000

x + 3y = 3600 ...... 2

Solve equation 1 and 2 simultaneously

From 2; x = 3600 - 3y ..... 3

Substitute 3 into 1;

From 1;

4x + 9y = 10,000

4(3600-3y) + 9y = 10,100

14400 - 12y + 9y = 10100

14400 - 3y = 10100

-3y = 10100 - 14400

-3y = -4300

y = 4300/3

y = $1433.33

Substitute y = 1433.3 into 2;

From 2: x+3y = 3600

x + 3(1433.33) = 3600

x+4300 = 3600

x = 3600 - 4300

x = -$700

Answer:

5

Step-by-step explanation:

i think the answer will be 6.

Answer:

x = -7

HI = -18

ID = -36

Step-by-step explanation:

I'm guessing that H is the midpoint, so that would mean DH = HI.

So plug in.

4x + 10 = 2x - 4 (subtract 2x on both sides)

2x + 10 = -4 (subtract 10 on both sides)

2x = -14 (divide by 2 on both sides)

x = -7

PLUG IN TO GET ID because DH + HI = ID

4(-7) + 10 + 2(-7) - 4 (simplify)

-28 + 10 -14 - 4 (collect like terms)

-46 + 10 = -36

ID = -36

HI = 2(-7) -4 (simplify)

HI = -14 -4

HI = -18

Hope this helps!!

Hello!

[tex]\large\boxed{\text{n = 5, m = 9, x = 512}}[/tex]

An exponential expression in form [tex]\sqrt[z]{x^{y} }[/tex] can be rewritten as [tex]x^{\frac{y}{z} }[/tex] where "z" is the root and "y" is the power. For example:

[tex]x^{\frac{2}{3} } = \sqrt[3]{x^{2} }[/tex].

We can apply this idea to this problem:

[tex](32)^{\frac{9}{5} } = (\sqrt[5]{32^{9} } )[/tex]

Therefore:

n = 5

m = 9

Simplify the expression:

[tex]\sqrt[5]{32^{9} } = (\sqrt[5]{32} )^{9}[/tex]

[tex]\sqrt[5]{32} = 2\\\\2^{9} = 512[/tex]

Therefore, the values of all letters are:

n = 5

m = 9

x = 512

Answer:

n=5

m=9

x=512

Step-by-step explanation:

I believe that guy is right.^

Answer:

There are 30 backpacks on each shelf if thats what your asking

Step-by-step explanation:

Because 2 times 3 is 6 and 5 times 6 is 30

Answer:

6 squareoot 6

Step-by-step explanation:

Answer:

1/50

Step-by-step explanation:

Hope this helped have a nice day!

Answer:

x=6

Step-by-step explanation:

The value of x is 6.

"It is the line or line segment that divides the angle into two equal parts."

"The point at which the internal angle bisectors of the triangle intersects."

For given example,

AT and BT are angle bisectors of angles A and B respectively.

And T is the incenter.

⇒ TU = TV

⇒ 5x - 24 = 3x - 12

⇒ 5x - 3x - 24 = 3x - 12 -3x

⇒ 2x - 24 + 24 = - 12 + 24

⇒ 2x = 12

⇒ x = 6

Therefore, the value of x is 6.

Learn more about the angle bisector here:

https://brainly.com/question/12896755

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Answer:

y = 1

Step-by-step explanation:

This is because the line intersects the y-axis at 1.

Answer: y=-2x+1

Step-by-step explanation: The slope is -2 and the y-intercept is 1

Answer:

the first empty box is: $25

the third epty box is: $75

the forth empty box is: $200

Step-by-step explanation:

0.5 = $25

Answer:

H' = (-4,-4)

I' = (-2,-4)

J' = (-2,-5)