Three friends all live on the same street that runs west to east. Ben lives 8 blocks from ann. Carol lives 2 blocks from ben. If the street is represented by a number line and ann's house is located at 0, what are the possible locations for carol's house?

Joe ate 7/30 more of pizza than Jane. You can just subtract 2 uneven denominators. So you would turn them into 30 because that’s the closest highest number that can go with 5 and 6. Then multiply 2 with 6 which is 12 and then multiply 1 with 5 which is 5 now you can subtract it. 12/30-5/30=7/30.

Final Result: 7/30

Answer:

[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]

Step-by-step explanation:

correct on edge2020

The required exact value of tan(67.5°) is -2 + √(2).

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:

tan(x/2) = (1 - cos(x)) / sin(x)

We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:

tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)

We can then use the following exact values:

cos(135°) = -√(2)/2

sin(135°) = -√(2)/2

Substituting these values, we get:

tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)

Rationalizing the denominator, we get:

tan(67.5°) = -2 + √(2)

Therefore, the exact value of tan(67.5°) is -2 + √(2).

Learn more about trig ratios here:

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#SPJ6

Answer: p = 4

Step-by-step explanation:

For app one, you start with 140 points, and you lose 10 each time you check your phone.

Then, if you check your phone x times, you will have:

140 - x*10 points in total.

For app two, you start with 80 points, and you lose p points each time you check your phone.

Then, if you check your phone x times, you will have:

80 - x*p points left

We know that when x = 10, you have the same number of points in both apps, then we have the equation:

140 - (10)*10 = 80 - (10)*p

We can solve this for p

140 - 10*10 = 80 - 10*p

140 - 100 = 80 - 10*p

40 = 80 - 10*p

10*p = 80 - 40

10*p = 40

p = 40/10 = 4

Answer: 27

Step-by-step explanation:

use the formula for the area of circle and solve for r: A=pi r^2

2290.221=pir^2 <---divide by pi

729=r^2 <--- square root both sides

27=r

Answer:

(predicted fractions)

16/16

0/16

0/16

0/16

(predicted percentage)

100%

0%

0%

0%

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.

Answer:

c

Step-by-step explanation:

Answer: Its the pink one and the green one

hope that was helpful!

Step-by-step explanation:

Answer:

pink, dark blue, and red

Step-by-step explanation:

Answer:

L=16.8

w = 8.8

Step-by-step explanation:

L = x +8

w = x

x(x+8) = 148

x^2 + 8x = 148

x^2 + 8x - 148 =0

a = 1

b = 8

c = - 148

x = [tex]\frac{-8 +/- \sqrt{8^2 + 4*1*(-148)} }{2}[/tex]

(x - 8.8)(x + 16.8) =  0

(x + 16.8) is an extraneous root.

x = 8.8 which is the width

L = 16.8

Answer:

y = 2x - 10

Step-by-step explanation:

The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2

y = 2x + b

-4 = 6 + b

b = -10

Thank, 5 star, braniliest if helpful

Answer:

900 to perimeter

Step-by-step explanation:

9514 1404 393

Answer:

  p = 192

Step-by-step explanation:

p/8 +12 = 36 . . . . . given

p/8 = 24 . . . . . . . . .subtract 12

p = 8·24 . . . . . . . . .multiply by 8

p = 192

Answer:

x = 3

y = 21

(3,21) and if u want slope it will be 7 :D

Step-by-step explanation:

y = 10x - 9

y = x + 18

1. Substitute for the y

10x - 9 = x + 18

2. Add 9 onto both sides

10x - 9 + 9 = x + 18 + 9

10x = x + 27

3. Subtract x on both sides

10x -x = x - x+ 27

9x = 27

4. Divide by 9 on both sides

9x/9= 27/9

x = 3

__________________________________________________________

Now that you have x, substitute that into one of the equations

y = x + 18

y = 3 + 18

y = 21

or  

y = 10x - 9

y = 10(3) - 9

y = 30 - 9

y = 21

there both the same

__________________________________________________________

x = 3

y = 21

Hope this helped!

Answer:

x +18 = 10x -9 (since they both = y, set them equal to each other. )

-9x +18 = -9 (subtract 10x from both sides, then subtract 18 from both sides)

-9x = -27 (divide both sides by -9 to isolate x)

x= 3 (take this and plug it into one of the equations to solve for y)

y = x +18 (i choose this one)

y = 3+18 (add)

y = 21 (take this and x and make a point and that's your answer)

(3,21) or C

Step-by-step explanation:

I hope this helps :)

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x−10−3x=3x−12−3x

−2x−10=−12

Step 2: Add 10 to both sides.

−2x−10+10=−12+10

−2x=−2

Step 3: Divide both sides by -2.

−2x/−2 = −2/−2

x = 1

Answer:

4^9

262144

Step-by-step explanation:

Answer:

We have to see the circle in order to help you

Answer:

x ≥ 30

Step-by-step explanation:

The "≥" sign means greater than or equal to. So the equation reads, "x is greater than or equal to 30."

Answer:

measure of Arc FJ is 80 degrees.

Step-by-step explanation:

Key skills: High School Geometry, One Variable Equations, Angles

1)Let's look at the diagram thoroughly

2) The 2 thing we can get are:

3) First we can use the fact that Angle HKG and Angle IKJ are vertical angles. This makes them congruent (Or equal in size)

4) Solve this by moving the x's to one side, and the numbers to the other. You would then get: 3x-x=10+22

3x-x= 2x           10+22=32

2x=32

Divide by 2 on both sides and x=16.

5) We get that x=16. Now to find the measure of Arc FJ, we need to use the fact that Angle HKG + Angle GKF + Angle FKJ =  180

What we want to find is Angle FKJ. The measure of Angle FKJ would be the measure of Arc FJ

6) We can make an equation: x+10+74+Angle FKJ=180

If Angle FKJ is 80 degrees, then Arc FJ measures 80 degrees.

Hope you understood! Have a Nice Day! :D

Answer:

2.7 miles

Step-by-step explanation:

25 - 10.4 - 4.5 - 7 2/5 will give you 2.7

Answer:

8 miles

Step-by-step explanation:

If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.

70÷50=1.4

So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:

1.4 minutes mile × 5 miles = 7 minutes

Thus it will take her 7 minutes to run 5 miles at this pace.

If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.

If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

Answer:

0.2 is the answer...........

Answer:

x = 5, y = -1

Step-by-step explanation:

2x+3y=7

4x-5y=25

Keep the second equation the same, but change the first equation so you have something to substitute into.

3y= -2x+7

y= -2/3x + 7/3

substitute into second equ.

4x + 10/3x - 35/3 = 25

put the variables on one side, and the numbers on the other.

22/3x = 110/3

divide by 3

22x = 110

x = 5

Substitute x = 5 into the first equation,

10 + 3y = 7

move numbers to one side, and variables to the other.

3y = -3

y = -1

Answer:

x = 5, y = - 1

Step-by-step explanation:

2x + 3y = 7

4x - 5y = 25

In the second equation, solve for y in terms of x:

4x - 5y = 25

- 5y = 25 - 4x

- y = 5 - 4x/5

y = - 5 + 4x/5  Now substitute this for y in equation 2x + 3y = 7

2x + 3(-5 + 4x/5) = 7

2x - 15 + 12x/5 = 7

10x/5 - 15 + 12x/5 = 7

22x/5 = 7 + 15

22x/5 = 22  Now multiply both sides by 5/22 to isolate :

x = 5

Now substitute this value (x = 5) into 4x - 5y = 25 to solve for y:

4(5) - 5y = 25

20 - 5y = 25

- 5y = 5

y = - 1

You can check that these are correct by substituting x = 5 and y = -1  into the above equations to make sure they check out.

Answer:

38

Step-by-step explanation:

All you have to do to find the perimeter of a 2D shape is to add the sides and put the unit of measurement at the end of your answer.

Perimeter of ABCD is 38 units.

From the picture attached,

Perimeter of the given parallelogram = AB + BC + CD + DA

                                                              = 9 + 10 + 9 + 10

                                                              = 38 units

     Therefore, perimeter of the given parallelogram will be 38 units.

Learn more about the perimeter of a quadrilateral here,

https://brainly.com/question/341702?referrer=searchResults

Answer:

x = 9.9   (or √98) (or 98¹/²)

y = 7

Step-by-step explanation:

triangle is equilateral right triangle, y = 7

x² = 7² + 7² = 98

x = 9.9   (or √98) (or 98¹/²)

Answer:

-2(x)>30

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. 

x<-15

Step-by-step explanation:

-2(x)>30 means to divide -2 on both sides which is -15.

x>-15

Next you switch the inequality because you multiplied by a negative:

x<-15

Answer:

Since I am not given an increase number i will solve for numbers 1-5

1 - 25000%

2 - 12500%

3 - 8333.333333333332%     (I recommend you don't use this one)

4 - 6250%

5 - 5000 %

Each number, it will increase by 250% no matter what

Its the same as increasing by 250%

Hope this helps <3

Answer:

We can apply the straight-line method to solve for the value of the computer every year.

Step-by-step explanation:

Step one:

What is depreciation?

It can be defined as the loss of value of a commodity.

In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.

We are told that the computer cost is $1000

let the number of years taken for the computer to depreciate be x

Step two:

Say we want to find the value of the computer after 1 year, the value of the computer will be

Value of computer= 1000-20/100*1000

Value of computer= 1000-0.2*1000

Value of computer= 1000-200

Value of computer= $800

Step three:

For the second year, the value will be

Value of computer= 800-20/100*800

Value of computer= 800-0.2*800

Value of computer= 800-160

Value of computer= $640

Answer:

This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.

Step-by-step explanation:

PLATOOOOOO

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation: