solve the equation 7( 4+p) = 28

P=0

P=8

P=7​

Answer:

x = 52°

Acute angle = 64°

Step-by-step explanation:

Problem 1:

Since DN bisects <BDW, this means that m<BDN = m<NDW

Thus:

5v - 8 = 4v + 4

Collect like terms

5v - 4v = 8 + 4

v = 12

x = m<BDN = 5v - 8

x = 5v - 8

Plug in the value of v

x = 5(12) - 8

x = 52°

Problem 2:

First, find the value of y

(4y - 44) + (3y + 35) = 180 (linear pair)

4y - 44 + 3y + 35 = 180

7y - 9 = 180

7y = 180 + 9

7y = 189

Divide both sides by 7

y = 27

Acute angle = 4y - 44

Plug in the value of y

Acute angle = 4(27) - 44 = 64°

Property of Addition and division.

Answer:

The sequence is:

5, 14, 23, 32

Step-by-step explanation:

We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:

aₙ = a₁ + (n-1)d

Given the arithmetic sequence

5, _____, ______, 32

here:

a₁ = 5

n = 4

aₙ

so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term

aₙ = a₁ + (n-1)d

32 = 5 + (4-1)d

32 = 5 + 3d

3d = 32-5

3d = 27

divide both sides by 3

3d/3 = 27/3

d = 9

Therefore, the common difference: d = 9

Determining the 2nd term:

Using the formula

aₙ = a₁ + (n-1)d

substitute n = 2, a₁ = 5, d = 9

a₂ = 5 + (2-1)9

a₂ = 5 + 1(9)

a₂ = 5 + 9

a₂ = 14

Determining the 3rd term:

Using the formula

aₙ = a₁ + (n-1)d

substitute n = 3, a₁ = 5, d = 9

a₃ = 5 + (3-1)9

a₃ = 5 + 2(9)

a₃ = 5 + 18

a₃ = 23

Thus, the sequence becomes:

5, 14, 23, 32

Answer:use math(way

Step-by-step explanation

It help

Answer: 2 miles per hour

Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2

Answer:

3

Step-by-Step explanation:

I just worked it out! Good luck :)

Answer:

11.5

Step-by-step explanation:

Complete question is;

Two separate bacteria populations grow each month and are represented by the functions f(x) = 3^(x) and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?

A. Month 1

B. Month 2

C. Month 3.

D. Month 4

Answer:

Option D: Month 4

Step-by-step explanation:

We are given the functions;

f(x) = 3^(x)

And g(x) = 7x + 6

We want to find the month when f(x) > g(x)

Thus;

3^(x) > 7x + 6

For option A, month 1 means x = 1.thus;

LHS is 3¹ = 3

RHS = 7(1) + 6 = 13

Our LHS is not greater than RHS as the question demands, thus this option is not correct

For option B, month 2 means x = 2. thus;

LHS is 3² = 9

RHS = 7(2) + 6 = 20

Our LHS is not greater than RHS as the question demands, thus this option is not correct

For option C, month 3 means x = 3. thus;

LHS is 3³ = 27

RHS = 7(3) + 6 = 27

Our LHS IS equal to the RHS and not greater than RHS as the question demands, thus this option is not correct

For option D, month 4 means x = 4. thus;

LHS is 3⁴ = 81

RHS = 7(4) + 6 = 34

Our LHS is greater than RHS as the question demands, thus this option is correct

Answer:

512??

Step-by-step explanation:

um i just multipled 8x8x8 but its probably wrong- sorry

Answer: 82.25 minutes

Step-by-step explanation:

First convert the minutes she took to hours. This would be:

= 35/60

She is reading at a speed of 20 pages per 35/60 hours.

To finish 47 pages therefore, she will take:

= (47 * 35/60) / 20

= 1.37083 hours

Converted to minutes that would be:

= 1.37083 * 60 mins

= 82.25 minutes

Answer:

AC, AB. BC

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You can use the formula change in y divided by change in x, so for this the change in y would be 2 and the change in x would be 4. This means the slope is 1/2.

In a line, the slope never changes so it's A.

Answer:

Total money made as a physician = $138,000

Medicare tax = 1.45% of $138,000

= 1.45/100 * $138,000 = $2001

security tax = 6.2 %of $138,000

= 6.2/100 * $138,000 = $8556

= $138,000 - ($2001 + $8556)

$138,000 - $10557

= $127,443 is paid by Christian in FICA taxes

hope it helps you

hope it will help you.........

Answer:

UV=UZ+ZV

Step-by-step explanation:

UV=3y-5+2z+2

=3y+2y-3

but UV =27=3y+2y-3

30 =3y+2y

bisect means cut in to two equal parts so

3x+3=3y+6

3x-3y=6-3

3x-3y=3

then combine the two equation

30 =3y+2y this is 30=5y which is y=6

3 = 3x-3y so enter y=6 into this equation

3=3x-3*6

3=3x-18

3x=21

x=7

The solution to the equation [tex]3^s[/tex] = 27 is s = 3.

To solve the equation [tex]3^s[/tex] = 27, we need to find the value of s that makes the equation true.

Since 27 can be written as 3³ (3 raised to the power of 3), we can rewrite the equation as:

[tex]3^s[/tex]= 3³

To solve for s, we can equate the exponents:

s = 3

Therefore, the solution to the equation [tex]3^s[/tex] = 27 is s = 3.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ6

Answer:

4 and 4/15=c. 2 and 2/15=p.

Step-by-step explanation:

I am younger than 12 i dont have much experience; done 2 or 3 problems like this...

first lets make it simpler...

2c+4p=11.20 is the same as c+2p=5.6

then subtract one from the other and you get 4c+2p=12.8

simplify again 2c+p=6.4

so the ratio of c to p is 2:1. Multiply 6.4 by 2/3 to get what c is... 64/15

64/15 is 4 and 4/15. then divide by 2 to get what p is so 64/15÷2=32/15 which is 2 and 2/15.

Answer:

C, The marble is 3 times as likely to be black as it is to be white.

Step-by-step explanation:

The probability of a marble being drawn is:

number of marbles of that color/total number of marbles

Find total number of marbles

5+8+4+15= 35

So the probability of drawing:

white: 5/32

polka dot: 8/32

striped: 4/32

black: 15/32

The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.

The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.

The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.

The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.

Answer:

13 miles

Step-by-step explanation:

you can go down and to the right or to the left and down but either way it takes 13 miles from her house to Trader Joe's.

Answer:

x= -1

Step-by-step explanation:

5x1 would be -5 then -5 - 2 would be -7

Answer:

x = -1

Step-by-step explanation:

The key thing to remember is that every operation you do on either side needs to be done on the other.

Let's start by getting rid of that -2  you can do that by adding 2 to both sides of the equals sign:

5x - 2 = -7

5x - 2 + 2 = -7 + 2

5x - 0 = -5

5x = -5

The next step is to get rid of that 5 on the left.  We can do that by dividing both sides by 5:

5x = -5

5x ÷ 5 = -5 ÷ 5

x = -1

And there you have it! x is equal to negative one.

Answer:

128

Step-by-step explanation:

Answer:

18 hours

Step-by-step explanation:

7/119=x/306

Cross Multiply

119x=2142

x=18

Answer:

100 times

Step-by-step explanation:

100 times

please is 100 times

Answer:

A = 240π cm²

Step-by-step explanation:

Given that,

Height of a cylinder, h = 7 cm

Volume of the cylinder, V = 448π cm³

We need to find the total surface area of the cylinder.

The formula for the volume of the cylinder is given by :

[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]

The formula for the total surface area of the cylinder is given by :

[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]

So, the total surface area of the cylinder is 240π cm².

Answer:

x=2.2

Step-by-step explanation:

You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.

So we can use the following ratios to solve for ED=x:

Question in English:

Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?

Plzzzzz give me Brainliest!!!!!  

Answer:

The slope of line formed by given two points is undefined as the denominator becomes zero.

Step-by-step explanation:

Given points are:

(2,4) and (2,-2)

Here

[tex]x_1 = 2\\y_1 = 4\\x_2 = 2\\y_2= -2[/tex]

Slope is defined as the steepness of a line in the plane.

It is denoted by m and is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]

Putting the values we get

[tex]m = \frac{-2-4}{2-2}\\m = \frac{-6}{0}\\m = \infty[/tex]

The slope of line formed by given two points is undefined as the denominator becomes zero.

Answer:

The answer is 6/3>2/3