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O FRACTIONS
Fraction multiplication
Multiply. Write your answer as a fraction in simplest form.
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4 5
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Number 2 is incorrect :

[tex]\frac{-25x^{3}+15x }{5x} = \frac{-25x^{3}}{5x} + \frac{15x}{5x} = -5x^{2} + 3[/tex]

Number 1 :

[tex](-5)^{3} . 13^{-2} . (-5) .13^{9} = -125 . \frac{1}{13^{2}} .(-5).13^{9} = 625 . \frac{13^{9}}{13^{2}} = 625 . 13^{7}[/tex] (i dont think we can bare calculate this cause it;s too big ;-;)

Answer:

you can solve by using the formula

volume = length x width x height

(I'm also bad at math so sorry if this isn't very helpful)

Step-by-step explanation:

1 all the bases are the same which means your length and width should be 5m

2 just multiply 5 x 5 x 14.2 and that should give you the awnser

Answer:

60% test score

Step-by-step explanation:

When x is 6, y is 60

Answer: The roots are the x-intercepts! They are the values of x that make the quadratic equal to 0.

2. There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

Step-by-step explanation:

Answer:

Step-by-step explanation:

hope this helps

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

Triangle 1

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

Triangle 2

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

Triangle 3

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

Read more about tangent ratio at:

https://brainly.com/question/13347349

The decimal value 8.34 written as a ratio of a/b is 417/50

Fractions are values written as a ratio of two integers

Given the decimal value 8.34, we are to convert it to a decimal value as shown:

8.34 = 834/100

834/100 = 417/50

Hence the decimal value 8.34 written as a ratio of a/b is 417/50

Learn more on fractions here: https://brainly.com/question/78672

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

All numbers:

2, 3, 4 → 3

Numbers less than 4:

2 and 3 → 2

Odd number:

3 → 1

The probability of picking a number less than 4:

The probability of picking an odd number:

The probability of picking a number less than 4 and then picking an odd number:

The sound will travel fastest at an elevation of 500m,

Elevation      Temperature

500m              11.8°C (MAXIMUM)

1000m               8.5°C

1500m               5.3°C

2000m               2.0°C

Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.

So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.

So, Sound will travel fastest at 500m elevation.

Therefore, At an elevation of 500m, the sound will travel fastest.

To get more about sound waves visit:

brainly.com/question/1199084

Answer:

500 meters

Step-by-step explanation:

Answer:

Volume of fish tank A is 200

Volume of tank B is 160

Tank A’s volume is greater by 40 cubic feet

Step-by-step explanation:

25 x 8 = 200

40 x 4 = 160

So:

200 - 160 = 40

Answer:

Total Payment: $23.52

Savings: $4.15

Tax: $1.44

Answer:

10x^3+8x^2-4x+1 is answer

True:

   Area of trapezoid = [tex]\frac{1}{2}(b1 + b2) * h[/tex]

Hope that helps!

Answer:

acute

Step-by-step explanation:

Here are some helpful rules that will help you out in the future with these questions.

If...

a^2 + b^2 = c^2 its a right triangle

a^2 + b^2 < c^2 its obtuse

a^2 + b^2 > c^2 its acute

so...

Since 6+8>10

its acute

[tex]3x + 2y = 6[/tex]

[tex] - 3x + y = 12[/tex]

[tex]3x - 3x + 2y + y = 6 + 12[/tex]

[tex]3y = 18[/tex]

[tex]y = \frac{18}{3} = 6[/tex]

[tex]3x + 2y = 6[/tex]

[tex]3x + 2(6) = 6[/tex]

[tex]3x + 12 = 6[/tex]

[tex]3x = 6 - 12[/tex]

[tex]3x = - 6[/tex]

[tex]x = \frac{ - 6}{3} = - 2[/tex]

Answer:

[A] 2/6

[B] 1/2

Step-by-step explanation:

Given:

A six-faced die is rolled .

To Find:

Find the probability of it landing on a value more than 4

Find the probability of it landing on an even number

Part A:

Knowing that a six-faced die has six number on it (1,2,3,4,5,6)

Thus, the probability of it landing on an value more than 4 is 2/6.

Because 5 and 6 is more than 4

Part B:

1,3,5 = Odd

2,4,6 = Even

Thus, the probability of it landing on an even number is 3/6 Simplify 1/2 . Which also is 50%.

~Lenvy~

Answer:

Part A: X·8=Y

X represents the amount of people. Multiply X by 8 to see how many (Y) ounces of broccoli will be needed.

4·8=32

Jerome would be able to feed 4 people with 32 ounces of broccoli if each person is to get 8 ounces.

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

That is the mean between 6 & 21

[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]

Answer:

  $12,463

Step-by-step explanation:

The amount owed after one month is the sum of the original amount and the interest fee, less the amount paid.

__

The interest fee is 0.5% of $12,600, so is ...

  0.005 × $12,600 = $63

After her $200 payment, the amount Didi owes is ...

  $12,600 +63 -200 = $12,463 . . . owed after 1 month

f(2) = 10

[tex]Substitute\ x=2\ into\ f(x)=3x+4[/tex]

[tex]f(2)=3\times 2+4[/tex]

[tex]f(2)=6+4[/tex]

[tex]f(2)=10[/tex]

I hope this helps you

:)

Answer:

g ≤ 4

Step-by-step explanation:

4g - 5 ≤ 11

Add 5 on both sides,

4g ≤ 11 + 5

4g ≤ 16

Divide 4 on both sides,

g ≤ 4

Answer:

1/13

Step-by-step explanation:

Knowing that:

In a deck of card half of the deck of card are red: 1/2  

Also means 52/2 = 26

There are 2 red 10 in a deck of card.

Solve:

Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.

Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.

GCD (or HCF) of 2 and 26 is 2.

Therefore, divide both by 2.

2/2 = 1

26/2 = 13

Hence, we can see that the simplify form is 1/13.

As a result, the probability of getting a red 10 is 1/13.

~lenvy~

Answer:

It's -32x^2

Step-by-step explanation:

Answer:

D. (-4,0),(-3,0)(3,0)

Step-by-step explanation:

Answer:

123 this is a good idea to make sure you have the best time ever.

Answer:

A is the answer

// x = -2(y + 3)2-1

By working with percentages, we will see that there are 1,080 seats in the theater.

We know that the students filled 702 seats, leaving 35% vacant.

Then 702 seats represents the (100% - 35% = 65%) of the total number of seats.

So, if the total number of seats is S, we can write:

(65%/100%)*S as the 65% of S.

Then we solve:

(65%/100%)*S = 702

0.65*S = 702

S = 702/0.65 = 1,080

There are 1,080 seats in the theater.

If you want to learn more about percentages, you can read:

https://brainly.com/question/843074

Answer:

The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).

To find the circumference of the circle, we need to know the diameter.

Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius

The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.

Width: area divided by length

14400160=90

The diameter of the circle and the width of the rectangle is 90 meters.

Circumference:

90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90

Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.

160⋅2=320

The perimeter of the​ track is 548.4 meters.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Given that, the area of the rectangle is 7,200 square meters.

From the figure, length of a rectangle = 120 meter

Here, area of rectangle = Length×Width

120×Width=7200

Width = 60 meter

So, diameter of semicircle is 60 meter.

Radius = 30 meter

Perimeter of track = Perimeter of rectangle + Circumference of two semicircle

= 2(120+60)+2πr

= 360+2×3.14×30

= 360+188.4

= 548.4 meters

Therefore, the perimeter of the​ track is 548.4 meters.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

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