Write each statement as an algebraic expression.The quotient of the number that is 1 greater than a number b and the number that is twice as large as b.

Answer: FE  is  7 and RS  is  6.

Step-by-step explanation:

13 - 6 = 7  

11-5= 6

Answer:

FE = 7

RS = 6

Step-by-step explanation:

for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.

13 - 6 = 7

You can do the same thing for the second problem.

11 - 5 = 6

hope it helps!

Answer:

a = -6 and b = 3√2

Step-by-step explanation:

Given the complex solution below;

x = (-24±√-288)/4

Re writing in the standard format a,+bi

x =( -24±√144×√2×√-1)/4

In complex notation, i = √-1

x = (-24±√144×√2×i)/4

x = ( -24±12×√2i)/4

x = -24/4±12√2i/4

x = -6±3√2i

Comparing the resulting complex number with a+bi

a = -6 and b = 3√2

Answer:

A. 25°

Step-by-step explanation:

25° is really the only logical answer.

Answer:9p

Step-by-step explanation:

Answer:

"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"

Step-by-step explanation:

Answer:

1.75 rad

Step-by-step explanation:

° × π/180 = rad

100° × π=314.16

314.16/180=1.75 rad

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

A

Step-by-step explanation:

We can see that the two triangles are similar, and are in a 17:1 ration since 51/3 = 17

Now we can set up the equation

144-x = 17x

adding x to both sides we get

144 = 18x

dividing by 18 we get

x = 8

Now we plug x = 8 back in and get

144-8 = 136

Answer:

x=22

Step-by-step explanation:

set all of your values equal to 360 (bc thats the value of the degrees in a circle) and then solve for x!

75 + 92 + ( x+57 ) + ( x+92) = 360

( x+57 ) + ( x+92 ) = 201

2 x = 44

x = 22

Answer:

7.5g salt, 10g yeast, 50ml oil, 450ml water.

Answer:

option A.

Step-by-step explanation:

The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.

HOPE THIS HELPS.

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

Desmos Graphing Calculator

Answer:

Yes, she can.

Step-by-step explanation:

We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.

The surface area of a rectangular prism is given as:

A=2(wl+hl+hw)

where w = width, l = length, h = height

The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:

A = 2[(7 * 15) + (9 * 15) + (9 * 7)]

A = 2[105 + 135 + 63]

A = 2 * 303 = 606 square inches

1 square inch = 0.000771605 square yards

=> 606 square inches = 606 * 0.000771605 = 0.468 square yards

Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.

Answer:

B. 81 weeks

Step-by-step explanation:

If we plug everything into the equation it should look like this:

[tex]82 = w + 1[/tex]

Then we would subtract 1 from both sides, then we are left with w:

[tex]w = 81[/tex]

Hope this helps!

Answer:

(x+3)^2+(y+1)^2=25

Step-by-step explanation:

the distance of the center and the point is the radius of the circle

distance=(4^2+3^2)^(1/2)=5

(x+3)^2+(y+1)^2=25

Answer:

150 G sugar. ⬅️CORECT ANSWER

Answer:

= -9/2

Step-by-step explanation:

g(x) = -2x^2 -4

Let x = 1/2

g(1/2) = -2 (1/2)^2 -4

        = -2 ( 1/4) - 4

        -1/2 -4

      - 4 1/2

= -9/2

Answer:

see below

Step-by-step explanation:

A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.

B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.

C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.

Answer:

The output value is 4

Step-by-step explanation:

The output value is the y value, so y=3(1)+1

y=3+1

y=4

Answer:

a) 5,00 m

b) y = - (7/5)x + 7

Step-by-step explanation:

The stairs and the wall forms a rectangle triangle. The wall is the opposite side respect to the angle which stairs forms with ground (I attached an image below of the situation).

a) To find the length of stairs you use the following trigonometric relation:

[tex]sin\theta=\frac{h}{l_s}[/tex]            (1)

h: height in which the stairs touch the wall = 4,33 m

ls: length of the stairs

θ: angle between ground and stairs = 60°

You solve the equation (1) for ls:

[tex]l_s=\frac{h}{sin\theta}=\frac{4,33m}{sin60\°}=4,99m\approx5,00m[/tex]

b) The line equation is given by:

[tex]y-y_o=m(x-x_o)[/tex]           (2)

Firs, you calculate the slope by using the equation (2):

[tex]m=\frac{0-7}{5-0}=-\frac{7}{5}[/tex]

Next, you use one of the point, say B, an you replace this points for yo and xo:

[tex]y-0=-\frac{7}{5}(x-5)\\\\y=-\frac{7}{5}x+7[/tex]

Answer:

x=-12        x =2

Step-by-step explanation:

-x^2-10x+24=0

Divide by -1

x^2 +10x -24 = 0

Factor

What 2 terms multiply to -24 and add to 10

12 * -2 = -24

12 -2 = 10

(x+12) ( x-2) = 0

Using the zero product property

x+12 =0    x-2 =0

x=-12        x =2

Answer:

It represents a linear function because there is a constant rate of change.

Step-by-step explanation:

As an hour passes, the minutes increase at a constant time of 60. A constant increase indicates a linear function.

Answer:

Step-by-step explanation:

If you substitute x = -4 in the equation, you should get the y value as 3

y = 5x + 21

 = 5* -4 + 21

 = -20 + 21

y = -1 ≠ 3

So, (-4, 3) is not a solution

Answer: 22

Step-by-step explanation:

22+5= 27

27-4=23

23+7=30

30-8=22

Answer:

22+m+ 7n - 8

Step-by-step explanation:

22+5m-4m+7n-8

22+m+ 7n - 8

you subract 4m from 5m because there are like terms

none of the others are like terms so you cant add or subract them

Answer:

D

Step-by-step explanation:

The mean is the average summing all values together and dividing by the number of values been investigated.

Hence since no values exist between 201-350 that means the mean can not be there.

Answer:

The relative frequency of the class 201 - 350 is 0.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.volume=8×7×6=336 mi³

6.r=16/2=8 yd

volume=4/3×π×8³=2048/3 π yd³

≈2144.7 yd³

7.r=2.5/2=1.25 in

v=πr²h=π×1.25²×5

volume of 150 cups=7.8125 π×150=1171.875 π in³≈3681.6 in³

8. statement not visible.

Answer:

motorcycle A: 180 km/h

motorcycle B: 200 km/h

Step-by-step explanation:

To solve this question we need to write a system of equations for A and B, using the equation:

distance = speed * time

The speed of A is 20 less than the speed of B, so:

speedA = speedB - 20

And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:

timeA = timeB + 0.05

Then, using the distance equation, we have that:

distanceB = speedB * timeB

90 = speedB * timeB

distanceA = speedA * timeA

90 = (speedB - 20) * (timeB + 0.05)

90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1

90 = 90 + 0.05 * speedB - 20*timeB - 1

20*timeB = 0.05 * speedB - 1

timeB = (speedB - 20)/400

using this timeB in the distance equation, we have:

90 = speedB * (speedB - 20)/400

90 * 400 = speedB^2 - 20*speedB

speedB^2 - 20*speedB - 36000 = 0

Solving this quadratic equation, we have speedB = 200 km/h

And the speedA is:

speedA = speedB - 20 = 200 - 20 = 180 km/h

The Answer:

2 is an integer.

Answer:

c

Step-by-step explanation:

edgeinuity

Answer:

x³ - 9x² + 27x - 27

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side ) , thus

V = (x - 3)³

   = (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL

   = (x - 3)(x² - 6x + 9) ← distribute

   = x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms

   = x³ - 9x² + 27x - 27

Answer:

answer is 2.5 times....

There are 2.5 times does 2 go into 5.

Since, Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that,

To find what times does 2 go into 5.

Now, We can solve as by divide 5 by 2,

⇒ 5 / 2

⇒ 2.5

Thus, A number 5 is 2.5 times 2.

Learn more about the divide visit:

https://brainly.com/question/28119824

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