Real World Problems with Rational Numbers
26
Directions: Drag each point to the correct location on the number line.
Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.
Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.
Terry
Steve
1

Answers

Answer 1

Answer:

aiaavaobsoavvdiabajiaveoaveugwviaoqjavdjoagw


Related Questions

Fourteen subtracted from the product of a number and -3 is 25

Answers

Answer:

5.5 is the number.

Step-by-step explanation:

14-(-2x)=25

Solve the equation.

2x=11

x=5.5

The value of number is -13.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Fourteen subtracted from the product of a number and -3 is 25

let the number be x

product of a number and -3= -3x

and, Fourteen subtracted from the product of a number and -3

= -3x- 14

So, -3x -14 = 25

-3x = 25+14

-3x = 39

x= -13

Hence, the value of x is -13.

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Consider circle C with angle ACB measuring 3 pi/4 radians if minor arc AB measures 9 pi inches what is the length of the radius of circle C if necessary round your answer to the nearest inch

Answers

Answer:

r = 12 inches

Step-by-step explanation:

In this question, we are asked to calculate the length of the radius of the circle.

This is accessible from using the length of an arc.

Mathematically, the length of an arc can be calculated using the formula;

Theta/360 * 2 * pi * r

Where Theta is the angle subtended at the center and r is the radius of he circle.

According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)

Thus we have;

9 pi = 135/360 * 2 * pi * r

divide through by pi

9 = 270r/360

360 * 9 = 270r

r = (360 * 9)/270

r = 12 inches

Answer:

b

Step-by-step explanation:

plzzzzzzzzzzzzaaaaaaaa

Answers

Answer:

A

Step-by-step explanation:

[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]

The correct answer choice is A. Hope this helps!

Pleaaase help me out here im being timed!!

Really appreciate it if u did thank u.

Answers

The answer is 180. Or C.A triangle’s full angle is 180 so the answer is 180

What is the square root of 91

Answers

Answer:

9.53939201417

Step-by-step explanation:

sqrt(91)=

9.53939201417

Answer:

9.53939201

Step-by-step explanation:

This can simply be done in a calculator but what you are basically doing is thinking about the reverse of a exponent. For instance, √25 is 5 because 5² is 25. Hope this helps! If you are still confused please comment!

I will mark brainliest if you are correct!
When solving the equation, which is the best first step to begin to simplify the equation?
-2 (x + 3) = -10

A. (-2) (-2) (x + 3) = -10 (-2)
B. -1/2 (-2) (x + 3) = -10 (-1/2)
C. -2/2 (x + 3) = -10/2
-2/-10 (x + 3) = -10/-10

Answers

Answer:

i think the answer is C

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Uh here's what I did:

-2x-6= -10

Add 6 to both sides.

-2x=-4

Divide both sides by -2

x=2

helppppppppppppp please

Answers

Answer:

with?

Step-by-step explanation:

Find the value of the variables for each set or similar figures

Answers

Answer:

3

Step-by-step explanation:

Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

Answers

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

Simplify 8^2/3 -√9×10^0+(1/144)^-1/2

Answers

Answer:

13

Step-by-step explanation:

We have the following expression:

[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]

If we do part by part, we have remains:

[tex]8^{\frac{2}{3} }[/tex] = 4

8 = 2^3

Therefore, the exponents 3 * 2/3 = 2 are multiplied

2^2 = 4

[tex]\sqrt{9}*10^{0}[/tex] = 3

We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3

[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12

When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.

So, we have:

4 - 3 + 12 = 13

I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number

Answers

Answer: 30 computers.

Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.

Answer:

8534

Step-by-step explanation:

8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry


The ratio of hens to rabbits in the barn at Wunderlich Farms is 3 to 5. If there are nifty-six animals in the barn, how
many are rabbits?
11
35
21
36

Answers

Answer:

35 rabbits

Step-by-step explanation:

hens : rabbits : total

3     : 5 :  3+5

3     : 5 :  8

We have 56 total animals

56/8 = 7

Multiply each term by 7

hens : rabbits : total

3*7     : 5*7 :  8*7

21       : 35     : 56

There are 21 hens and 35 rabbits    

If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible

Answers

Answer:

likely or probable

Step-by-step explanation:

hhhgfd

Likely or probable

please help immediately very confused

Answers

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

Answer:

4.5units

Step-by-step explanation:

arc length's formula:2πr(∆/360)

remember, 2πr: circumference of a circle:

10units according to diagram.

∆=162°

using formula, 10(162°/360)

10*162/360 : 162/36

:4.5 units.

A triangle has a side with length of 6 feet and another side with length of 8 feet. The angle between the sides measures 73°. Find the area of the triangle. Round your answers to the nearest tenth. Please show work.
a. 23.0 ft^2
b. 45.9 ft^2
c. 1752 ft^2
d. 7.0 ft^2

Answers

Answer:

Area = (1/2) * side 1 * side 2 * sine (73 degrees)

Area = (1/2) * 6 *  8 * .9563

Area = 22.9512  square feet

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Area = ½ a b sinC

= ½ × 6 × 8 × sin(73)

= 22.9513141431

To the nearest tenth: 23.0 ft²

8+16÷4·3+5·4·25·2 =

solve the equation

Answers

Answer:

1020

Step-by-step explanation:

8+16÷4·3+5·4·25·2

PEMDAS

Multiply and divide from left to right

8+4·3+5·4·25·2

8+12+5·4·25·2

8+12+1000

Then add

1020

A bag contains 4 red, 2 blue, 6 green, and 8 white marbels. Round anwsers to the nearest tenth. What is the probibility of selecting a green marble, replacing it, and then selecting a red marble.

Answers

Answer:

[tex]\frac{3}{50}[/tex] chance.

Step-by-step explanation:

Probability of getting a green: [tex]\frac{6}{4+2+6+8}[/tex] = [tex]\frac{6}{20} = \frac{3}{10}[/tex]

Probability of getting red: [tex]\frac{4}{4+2+6+8} = \frac{4}{20} = \frac{1}{5}[/tex]

[tex]\frac{1}{5} * \frac{3}{10} = \frac{3}{50}[/tex]

There is a [tex]\frac{3}{50}[/tex] chance of getting a green then red marble with replacement.

Given the function f(x)=7x-4 find f(3)

Answers

Answer:

17

Step-by-step explanation:

f(x)=7(3)-4     Distributive Property

f(x)=21-4        Subtract

f(x)=17

The value of f(3) is 17

what is function?

Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Given:

f(x)=7x-4

Now for x=3

f(3)= 7*3-4

=21-4

=17

Hence, the value of function is 17.

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Select all the equations where a = 8 is a solution.
Choose 3 answers:
A 2 + 11 = 15
6 l = 8 + 0
©
15
a = 23
0 42 = 7a​

Answers

Answer: B, C  and E

Step-by-step explanation:

PLEASE HELP ASAP 10 POINTS AND ITS MULTIPLE CHOICE

Which equation represents the line that is parallel to the following?
Y=-3x-4

A. Y=3x+4
B. Y=3x+1
C. Y=-1/3x-4/3
D. Y=1/3x-4

Answers

Answer:

A. Y=3x+4

Step-by-step explanation:

The system of linear equations 5x+3y=3 and X+y=-1 is graphed below.

What is the solution to the system of equations?
O (4,3)
O 1-3.4)

Answers

Answer:

(3, - 4) is the solution to the system of equations.

Step-by-step explanation:

1. Rewrite one of the equations so it eighter starts with y= or it starts with x=

Here the easy way is to write X+y=-1 in the form x=

X= - y - 1

2. Substitute X= - y - 1 in the other equation 5X+3y=3:

5X+3y=3

X= - y - 1

5(- y - 1)+3y=3

-5y -5 +3y = 3

-2y = 3 +5

2y = -8

y = - 4

3. Now substitute this value y = - 4 in X= - y - 1

X= - (y) - 1

y = - 4

X= - (- 4) - 1

X = 4 - 1

X =3

4. So X =3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.

Quadrilateral ABCD is inscribed in a circle
What is the measure of angle A?

Answers

Answer:

Quadrilateral ABCD is inscribed in a circle, then

A + C = 180

=> 2x + 9 + 3x + 1 = 180

=> 5x = 170

=> x = 34

=> A  = 2 x 34 + 9 = 77 deg

Hope this helps!

:)

Answer:

77°

Step-by-step explanation:

ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.

[tex]\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\ (5x + 10) \degree =180° \\ 5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x = \frac{170}{5} \\ x = 34 \\ \angle A = (2 \times 34 + 9) \degree \\ \huge \red{ \boxed{\angle A= 77 \degree}} \\ [/tex]

Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?

Answers

Answer:3080”

Step-by-step explanation:

I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?

Answers

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

What is the equation

Answers

Answer:

76

Step-by-step explanation:

-4x + 104 = -200

-4x = -304

4x = 304

x=76

Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem.

Answers

Answer: 4/8

Step-by-step explanation:

From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.

To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:

= 1 2/8 - 6/8

= 4/8

She gave 4/8 to Mr Andrews.

Write nine minus the quotient of two and a number x as a expression variable

Answers

Answer:

9-(2/x)

Step-by-step explanation:

There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?

A) Permutation

B) Combination

C) Circular permutation

Answers

Each of them shakes hands with 109 others.
109*110 = 11990 handshakes were done.

What is the equation of a line with a slope of 6 and y intercept of -2

Answers

Answer:

6x-y=2 is the equation

Step-by-step explanation:

The formula is y= mx+c where m= slope and c = y-intercept

so replacing their values,

y = 6x -2

y+2= 6x

6x-y = 2 is the required equation.

Answer:

y=6x-2

Step-by-step explanation:

Answer: to write an equation it has to be y=mx+b

The slope is 6, so you substitute the 6 in for the m. M is always the slope.

You also keep the x there.

The y intercept, also know as b, is -2 so you substitute that in for b.

Then you get the equation on the line.

y=6x-2!

Hope this helps. :)

If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?

Answers

Answer:

Step-by-step explanation:

First, calculate the volume of the first cylinder

V= pi * r^2 * h

= pi * r^2 * 9 = 9 pi r^2

Volume of the second cylinder

V = pi * (2r)^2 * 9 = 36 pi r^2

the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4

The number of cylinders that can be filled is given by the equation A = 4

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the first cylinder be V₁

The radius of cylinder 1 = r

The height of the cylinder 1 = 9 inches

Let the volume of the second cylinder be V₂

The radius of cylinder 1 = 2r

The height of the cylinder 1 = 9 inches

Now , the volume of cylinder 1 is V₁ = πr²h

Substituting the values in the equation , we get

V₁ = 9πr²

Now , the volume of cylinder 2 is V₂ = πr²h

Substituting the values in the equation , we get

V₂ = 9π ( 2r )²

V₂ = 36πr²

And , the number of cylinders that can be filled is A = V₂ / V₁

On simplifying the equation , we get

The number of cylinders that can be filled is A = 36πr²/9πr²

The number of cylinders that can be filled is A = 4 cylinders

Hence , the number of cylinders is 4

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