It cost Mr. Stu $315 for himself and 6 friends to have dinner. How much did it cost per person?

$52.50 per person
$45 per person
$23 per person
$63 per person

Answer:

Prime factors of 84 = 4 . 3 . 7

Prime factors of 126 = 2 . 9 . 7

Prime factors of 245 = 5 . 49

Step-by-step explanation:

Answer:

105°

Step-by-step explanation:

Since 4 and 5 are equal, 210/2=105°

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:

the ansewr is 5

Step-by-step explanation:

1 plus 1 equal 5555555

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:

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:

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:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

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

Answer:

given us,

(x1y1) = (4,6)

(x2y2)= (1,10)

here

slope= (y2-y1)/ (x2-x1)

= (10-6)/ (1-4)

= 4/ (-3)

Step-by-step explanation:

4/ (-3)

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:

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:

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:

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:

Answer:

Negative 3 plus:) hope this helps!

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:

(-2)4=-8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

pent means 5

a pentagon looks like this

count the sides

Answer:

Step-by-step explanation:

As per table

So

Correct option is D) 1

Answer:

3 is the question mark my friend u just have to simply

Answer:

-3

Step-by-step explanation:

2^x = 2^-3

x= -3

i hope this helps !!

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:

https://brainly.com/question/19994681

#SPJ5

Answer:

Im dumb but cant you just be like, I subtracted 146° and 62°?

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:

4√6^3

Step-by-step explanation:

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:

listen when in doubt go with c

Step-by-step explanation:

672

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