Write the equation of a line that is parallel to y = 2+2 and goes
through the point (8, 1).

Answer:

g = 10

Step-by-step explanation:

Distribute 7 to the parentheses:

7(g + 5) = 105

7g + 35 = 105

Solve for g:

7g + 35 = 105

7g = 170

g = 10

So, the answer is g = 10

Answer:

g = 10

7g + 35 = 105

.       -35    -35

7g = 70

g = 10

Answer:

C. 31 kilometers north of its starting location

Step-by-step explanation:

Please see attached a rough sketch of the situation for your reference.

Step one:

Displacement North= 57km

Displacement South= 26km

Required

The  final displacement

The current position is attained by subtracting 26km from 57km

=57-26= 31km

Therefore the current position is

C. 31 kilometers north of its starting location

Answer:

C

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

t represents time (probably years).

The population of bobcats can't be negative, so negative values in the range do not make sense.

The function is continuous, but you're probably only looking at discrete values.

Answer:

1.the number of years since 2008

2.t values greater than or equal to 0

3.negative values

4.discrete,because number of bobcats cannot be broken to fractional parts

Step-by-step explanation:

Just got them all correct on Edge

Answer:

She would need to make 5 consecutive free successful throws

Step-by-step explanation:

Equations

A basketball player wants to improve his percent of successful throws to 85%.

She currently has made 12 out of 15 free throws, which gives a success percentage of 12/15*100=80%

So, she needs a number of free consecutive free throws to increase that number to the desired target.

The percentage of success can be calculated as:

[tex]\displaystyle P=\frac{\text{successful throws}}{\text{total throws}}*100[/tex]

Let's assume x is the number of required consecutive successful throws. Since she has already thrown 15 times, out of which has had 12 successful throws, now she will have 15+x total throws and 12+x successes, thus the new percentage is:

[tex]\displaystyle P=\frac{12+x}{15+x}*100[/tex]

And this percentage must be equal to 85%, thus:

[tex]\displaystyle \frac{12+x}{15+x}*100=85[/tex]

a) The equation to represent the situation is:

[tex]\mathbf{\displaystyle \frac{12+x}{15+x}*100=85}[/tex]

b) Let's solve it.

Multiply by 15+x:

[tex]\displaystyle (12+x)*100=85(15+x)[/tex]

Dividing by 5:

[tex]\displaystyle (12+x)*20=17(15+x)[/tex]

Operating:

[tex]\displaystyle 240+20x=255+17x[/tex]

Subtracting 17x and 240:

[tex]\displaystyle 20x-17x=255-240[/tex]

Simplifying:

[tex]\displaystyle 3x=15[/tex]

Dividing by 3:

x = 5

She would need to make 5 consecutive free successful throws

The number of throws is an illustration of proportions.

The number of free throws to raise her percent to 85% is 5

(a) The equation

The proportion is given as: 12 out of 15.

Let the number of throws be n.

So, the proportion would be:

[tex]\mathbf{Proportion = \frac{12 + n}{15 + n}}[/tex]

To make 85% success, then the proportion must equal 85%.

So, we have:

[tex]\mathbf{\frac{12 + n}{15 + n} = 85\%}[/tex]

(b) The solution to the equation

In (a), we have:

[tex]\mathbf{\frac{12 + n}{15 + n} = 85\%}[/tex]

Express 85% as decimal

[tex]\mathbf{\frac{12 + n}{15 + n} = 0.85}[/tex]

Cross multiply

[tex]\mathbf{12 + n = 0.85(15 + n)}[/tex]

[tex]\mathbf{12 + n = 12.75 + 0.85n}[/tex]

Collect like terms

[tex]\mathbf{n -0.85n= 12.75 -12 }[/tex]

[tex]\mathbf{0.15n= 0.75}[/tex]

Divide both sides by 0.15

[tex]\mathbf{n= 5}[/tex]

Hence, the number of free throws to raise her percent to 85% is 5

Read more about proportions at:

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Answer:

I think its 10km in 1 hour.

Step-by-step explanation:

mikaela is running 5mg in 0.5 hours, but your looking for an 1 hour so you double it.

Answer:

s+h=40 and 18s+14h=700

Step-by-step explanation:

lets say  

s= number of scarves sold  

and  

h=number of hats sold  

since the total of hats/scarves equals 40 then that means that scarves+hats sold equals 40 so  

s+h=40  

the second constraint it found similarly,

scarves and hats are being sold for 18$ and 14$ respectively and together they need to equal 700$ so you plug it into a similar equal as before  

18s+14h=700              

Answer:

$8.40

Step-by-step explanation:

A store sells ½ pound of beef for $0.70

We find the unit rate

1/2 pound = $0.70

1 pound =

We cross Multiply

1/2 × x = 1× 0.70

x = 0.70 ÷ 1/2

x = 0.70 × 2/1

x = $1.40

The unit rate for 1 pound of beef is $1.40

If you are having a party and need 6 pounds of beef for hamburgers

Hence, the cost for 6 pounds of beef is:

1 pound = $1.40

6 pounds = y

y = 6 × $1.40

y = $8.40

6 pounds of beef for hamburgers would cost $8.40

Answer:

A. 32.08

Step-by-step explanation:

The figure given is a right triangle. We would apply trigonometric ratios formula to find x.

Reference angle = 58°

Hypotenuse = x

Adjacent length = 17

Thus, we would apply the following:

[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]

Plug in the values

[tex] Cos(58) = \frac{17}{x} [/tex]

Multiply both sides by x

[tex] Cos(58) \times x = \frac{17}{x} \times x [/tex]

[tex] Cos(58) \times x = 17 [/tex]

Divide both sides by Cos(58)

[tex] \frac{Cos(58) \times x}{Cos(58)} = \frac{17}{Cos(58)} [/tex]

[tex] x = \frac{17}{Cos(58)} [/tex]

[tex] x = 32.08 [/tex] (2 d.p)

Answer:

Part A)

[tex]390=(15+x)(13+x)[/tex]

Part B)

Approximately 18.77 feet long by 20.77 feet wide.

Step-by-step explanation:

Currently, the patio is 13 feet long by 15 feet wide. Therefore, the area right now is:

[tex]A=13(15)=195\text{ feet}^2[/tex]

We will increase the length and width of the patio by the same amount such that the new area is double the previous amount.

Part 1)

The previous area is 195. Therefore, we would like to the new area to be twice of that. Hence, the new area is:

[tex]A=2(195)=390[/tex]

We will increase the length and the width by the same amount. Let’s call this amount x. Then by the area formula (A=bh), we can write:

[tex]390=(15+x)(13+x)[/tex]

390 represents the doubled area. (15+x) is the width after the increase x, and (13+x) is the length after the same x increment.

Part 2)

So, we will solve for x. First, expand:

[tex]390=195+15x+13x+x^2[/tex]

Simplify:

[tex]x^2+28x+195=390[/tex]

Subtract 390 from both sides:

[tex]x^2+28x-195=0[/tex]

This is a quadratic. Hence, we can use the quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Our a=1, b=28, and c=-195. Hence:

[tex]x=\frac{-28\pm\sqrt{(28)^2-4(1)(-195)}}{2(1)}[/tex]

Evaluate:

[tex]x=\frac{-28\pm\sqrt{1564}}{2}[/tex]

Simplify the square root:

[tex]\sqrt{1564}=\sqrt{4}\cdot\sqrt{391}=2\sqrt{391}[/tex]

Hence:

[tex]x=\frac{-28\pm2\sqrt{391}}{2}\\[/tex]

Simplify:

[tex]x=-14+\sqrt{391} \text{ or } -14-\sqrt{391}[/tex]

Approximate:

[tex]x\approx5.77\text{ or } x\approx-33.77[/tex]

In this case, we can reject the negative solution.

Hence, the value of x is 5.77.

This means that we should increase the our length and width by 5.77.

Hence, the new length will be 13+5.77 or about 18.77.

And our new width will be 15+5.77 or about 20.77.

So, the new dimensions is approximately 18.77 by 20.77

Answer:

Step-by-step explanation:

As per table

So

Correct option is D) 1

Answer:

Possible answer:

6m + 2k

Step-by-step explanation:

given:

m+m+m+m+m+m+k+k

we can attempt to simplify this expression by factorization:

(m+m+m+m+m+m)+(k+k)     factorize m's and k's

= m(1+1+1+1+1+1) + k(1+1)

= 6m + 2k

Answer:

a

Step-by-step explanation:

it has to  have to same slope as the first equation so you have y=5x+b then what you do is plug in the points and solve for b. which gives you 2. so your final equation is y=5x+2

7=5+b

-5  -5

2=b

Answer:

The equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:

Step-by-step explanation:

Given the equation

[tex]y = 5x + 4[/tex]

Here the slope is:

[tex]m=5[/tex]

as comparing with the [tex]y=mx+b[/tex], which is the slop-intercept form where m is the slope and b is the y-intercept.

As we know the point-slope form is

[tex]y-y_1=m\:\left(x-x_1\right)[/tex]

[tex]y-7=5\left(x-1\right)[/tex]

Add 7 to both sides

[tex]y-7+7=5\left(x-1\right)+7[/tex]

[tex]y=5x+2[/tex]

Therefore, the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:

672

i need 29 characters that’s why I’m typing this part

Answer:

x = 6 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 12 and h = 4, then

A = [tex]\frac{1}{2}[/tex] × 12 × 4 = 6 × 4 = 24 cm²

Then area of parallelogram = 3 × 24 = 72 cm²

The area (A) of a parallelogram is calculated as

A = bh ( b is the width and h the height )

Here b = x and h = 12, thus

12x = 72 ( divide both sides by 12 )

x = 6

The width of the parallelogram is 6 cm

Answer:

6=width

Step-by-step explanation:

Ok so when looking at the question it say that the area of the paraellagram is three times the area of the trianlgle.

-to find the area of a triangle you must use the equation A=1/2LxW would be 24

now once you have 24 you times it by 3 which is 72 (you do this because in the problem it says the paraellagram's area is three times the triangles area so 72 is the paraellagram's area.

now you divide 72 by the only other measurement given to you by the paraellagram which is 12 the length

after dividing the 2 you should get 6 which is the answer

you do this because by dividing 72 by 12 you get the other amount needed to make 72 which was the width

A=1/2(4)x12=24

24x3=7272/12=6

Answer:

91.2 seconds

:)

Answer:

76 seconds (1:16 one hour and 16 minutes)

Step-by-step explanation:

You take the distance that he has to travel (114m) and you divide it by the distance you're given that he is moving at every time (6m). this gives us 19. Then you take that and multiply it by how many seconds it takes him to move the given 6m (4s), which gives us an answer of 76 seconds

Answer:

4√6^3

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Bc you are adding 1/4 of 120 which equals 150

Answer:

1) 4

2) 45

3) 104

Step-by-step explanation:

1)

let x be your number.

((6x+8)/4)-5 = 3

add 5

(6x+8)/4=8

multiply by 4 to get rid of the denominator

6x+8=32

subtract 8

6x=24

divide by 6

x=4

2) Same type. (this time I won't explain every step)

let x be your number

((x/9)-8+6)*7 =21

(x/9)-8+6=3

(x/9)-2=3

x/9 = 5

x=45

3) Same type... Again

let x be your number

(((x-4+11)*2)/6)-8 = 29

((x-4+11)*2)/6=37

(x-4+11)*2 = 222

x+7=111

x= 104

Answer:

Step-by-step explanation:

sin(x+y) = sin(x)cos(y) + sin(y)cos(x)

sin(x-y) = sin(x)cos(y) - sin(y)cos(x)

Sin(x+y)sin(x-y) = (sin(x)cos(y) + sin(y)cos(x))(sin(x)cos(y) - sin(y)cos(x))

= sin^2(x)cos^2(y) - sin^2(y)cos^2(x)

= sin^2(x)(1-sin^2(y)) - sin^2(y)(1-sin^2(x))

= sin^2(x) - sin^2(x)sin^2(y) - sin^2(y) + sin^2(x)sin^2(y)

= sin^2(x) - sin^2(y)

So L.H.S=R.H.S

Hence proved

Answer:

15625 is 5 to the power of 6.

You didn't give your answer choices, so I will assume you are referring to the answer.

Step-by-step explanation:

Answer: m=-11

Step-by-step explanation:

To find the slope of the line, you want to use formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Since we are given two points, we can directly plug them in and solve.

[tex]m=\frac{-21-(-10)}{4-3} =\frac{-11}{1} =-11[/tex]

Now, we know that the slope is -11.

Answer:

3.57048748 or (rounded) 3.57 or 3.5

Step-by-step explanation:

2710 ÷ 759 = ?

   2710

÷   759

3.57048748

(Rounded) = 3.57 or 3.5

Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

Answer:

Step-by-step explanation:

3). Definition of midpoint

4). Midpoint theorem ( ≅ parts are = )

7). Division Property of Equality.

8).  QR = 5 + 2 = 7     Substitution x by equal value

9). PQ = 4(2)  - 1 = 7    Substitution x by equal value

10). Segment addition postulate

11). Substitution

Answer:

3/4 cup of bananas per cup of apple juice.

Step-by-step explanation

1/4 = 1/3x, then solve for x.

1/4 * 3/1 = x

3/4 = x

Ratio of cups of bananas to cups of apple juice is 3 : 4.

What is Ratio?

A ratio indicates how many times one number contain in another

number.

Given that;

Noah makes an bowl using 1/4 cup of bananas for every 1/3 cup of apple juice.

Now,

Ratio of cups of bananas to cups of apple juice = 1/4 : 1/3

                                                                           = 1/4 ÷ 1/3

                                                                           = 1/4 × 3/1

                                                                           = 3/4

                                                                           = 3 : 4

Thus, Ratio of cups of bananas to cups of apple juice is 3 : 4.

Learn more about the ratio visit:

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Answer:

1. Linear

2. Not Linear

3. Linear

4. Linear

Step-by-step explanation:

Function 1

Linear, follow a sequence of 4, 3

Function 2

Not Linear, does not follow a sequence

Function 3

Linear, follow a sequence of 1, 0

Function 4

Linear, follow a sequence of 3, -1

Answer:

number 10 (5/6)

Step-by-step explanation:

hope this helped ^^