Paris and seven of her classmates went out to lunch. They decided to divide the bill evenly. Each person paid $6.36. What was the total bill?

Show or explain your work.

Bisect means that the angles are split equally.

RTV would be half of RTS

RTV = 1/2(RTS)

16x-6 = 1/2(26x+18)

Simplify:

16x - 6 = 13x +9

Subtract 13x from both sides:

3x - 6 = 9

Add 6 to both sides:

3x = 15

Divide both sides by 3:

x = 5

Now you have x, replace x in the equation for RTV:

RTV = 16x -6 = 16(5) -6 = 80 - 6 = 74

RTV = 74 degrees.

Answer:

60%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

Answer:

Enlargement by a scale factor of 3 centre (1,0)

Step-by-step explanation:

Answer:

Dilation by a scale factor of 3 about (1,0)

Enlargement by a scale factor of 3 centre (1,0)

Step-by-step explanation:

u have to put both to get the full marks

hope this helped :)

Step-by-step explanation:

y=-6

Answer:

99

Step-by-step explanation:

easy

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A. The reflection across x axis ,fallowed by a reflection across the y axis ,and then a dilation by a scale factor of 0.5

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ [tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330

Answer:

Each property is mentioned with the corresponding expression.

Step-by-step explanation:

Writing the property in front of every expression:

1. Additive Identity: 11+0 = 11

2. Associative Property of Multiplication: x*(y*z) = (x*y)*z

3. Additive Identity: 8+(-8) = 0

4. Commutative property of Addition: 14+20=20+14

5. Multiplicative Inverse: 2*1/2 = 1

6. Multiplicative Identity : 22*1 = 22

7. Associative Property of Addition: (19+12)+8=19+(12+8)

8. Commutative Property of Multiplication: a*9=9*a

9. Distributive Property: 7(4+11) = 7(4)+7(11)

Answer:

Ihdjiefsoaekfjfbskidnkalo

Answer:

The slope is 3/4 and the y-intercept is -5.

Step-by-step explanation:

Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!

Answer:

6

Step-by-step explanation:

i am 96% sure it is 6

i might be wrong tho so i would wait for another answer ._.

Answer:

Its 6 and give the other guy his brain he deserves it

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

80-10%= 72

Hope this helps!

Answer:

10%

Step-by-step explanation:

$80 to $72 is a difference of $8.00. 10% of $80 is the $8.00

Answer:

x = 13

Step-by-step explanation:

To solve for x, we set equations (9x - 54) and (3x + 24) equal to each other because the angles are equal

(9x - 54) = (3x + 24); add 54 to both sides

9x = 3x + 78; subtract 3x from both sides

6x = 78; now divide by 6

x = 13

Answer:

5 tractors can plow a square field of side length 1,000 meters in 3.33 hours (3 hours 20 minutes)

Step-by-step explanation:

Let's find out how much each tractor can plow each hour.

[tex]\frac{600^{2} }{3*2}=60,000m^{2}[/tex] per tractor per hour

[tex]1,000^{2}=1,000,000m^{2}[/tex] is the area of the field of side length 1,000 meters

5 tractors can plow [tex]300,000m^{2}[/tex] per hour.

[tex]\frac{1,000,000}{300,000}=3.33[/tex] hours

Answer:

6x + 5y + 13 = 0.

Step-by-step explanation:

y = 5/6x + 7/6

Gradient = 5/6

Since the line is perpendicular to y = 5/6x + 7/6

then its gradient is -6/5.

Hence its equation is: point (-8,7).

y - 7 = -6/5(x -(-8))

multiplying through by 5 we get;

5y - 35 = -6(x + 8)

5y - 35 = -6x - 48

6x + 5y + 13 = 0

Answer:

12003612721

Step-by-step explanation:

im pretty sure you multiply it by its self 4 times

Answer:I'm sorry I can't really see what it says but I'm very good at math if you need help with anything else please let me know

Step-by-step explanation: I tried

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Given:

[tex]x^{2}+kx+49 = 0[/tex]

[tex]x = -7[/tex]

Substitution can be used to find the value of [tex]k[/tex]:

[tex](-7)^{2}+(-7)k+49 = 0[/tex]

[tex]49-7k+49 = 0[/tex]

[tex]98 -7k = 0[/tex]

[tex]k = 14[/tex]

Hope this helps :)

Answer:

$99

Step-by-step explanation:

Answer:

Step-by-step explanation:

The best way to solve this is to use a proportion. However, since this is a rate, we could also find the unit rate and multiply it by the number of cars Tiara is washing.

[tex]\frac{33}{3} = \frac{x}{9}[/tex]

3x = 33 x 9

3x = 297

Now, we simply divide by 3 to get $99.

We can check this by substituting the value of x in the original proportion.

3(99) = 33 x 9

297 = 297 ✅

The other way to solve this is to divide the whole expression by the number of cars to find the unit rate. In other words, how much money does she get for washing 1 car. We can then multiply this by the number of cars to get the answer.

$33/3 for 3/3 cars

$11 for 1 car

Now, we will multiply by the number of cars she washes in this question, which is 9

$11 x 9 = 99 for 1 x 9 cars

$99 for 9 cars

Again, we have the correct answer, which we have already verified by the process above. As you can see, both methods work. However, the top method is easier and since it uses algebra, is  almost foolproof, so long as the algebraic processess are followed.

Answer:

The answer is B.

Answer:

2

Step-by-step explanation:

[tex]4^{2} =16[/tex]

[tex]8*2=16[/tex]

[tex]x=2[/tex]

Answer:

$25

Step-by-step explanation:

If it was $25.59 then we would round up

But it isn't

So the answer is $25

Answer:

$26

Step-by-step explanation:

25.49,

then 9 will turn to plus 1

making 4 turn into 5

ten making 25 turn into 26

Answer:

B. 13

Step-by-step explanation:

Time taken to earn $385 = 35 hours

Time taken to earn $1 = [tex] \sf \dfrac{35}{385} [/tex] hours

[tex] \sf = \dfrac{1}{11} \ hours [/tex]

Time taken to earn $143 = [tex] \sf \dfrac{1}{11} \times 143 [/tex] hours

[tex] \sf = 13 \ hours [/tex]

Answer:

The first expression's answer is -1.33. The second one is 2.

Answer:

40 feets

Step-by-step explanation:

Given that :

Observer's height = 5 feets

Observer's distance from the mirror = 3 feets

Distance of tree away from the mirror = 24 feets

To obtain the height of tree:

Observer's distance (Od) / tree distance (Td) = Observer's height(Oh) / tree height (Th)

Od / Td = Oh / Th

3 / 24 = 5 / Th

3 * Th = 24 * 5

Th = 120 / 3

Th = 40 feets

Hence, the height of tree is 40 feets

Answer:

b.

a.

c.

d.

Step-by-step explanation:

a .20x10=2.00

b .20

c 8.66

d 86.6

Answer:

B

A

C

D

Step-by-step explanation:

This are from the lowest to greatest.

Answer:

≈0.68

Step-by-step explanation:

with what u have u can get [tex]cos G^{-1}[/tex]

so it will be equal [tex]\sqrt43[/tex]/9 =43°13'49.75"

now u can get the sine

sin 43°13'49.75" ≈ 0.68

Answer:

4.99 ft/sec

Step-by-step explanation:

1 mile = 5280 feet

3.4 miles = 17952 feet              or           (3.4 x 5280= 17952)

1 hour = 3600 seconds        (60 minutes per hour x 60 seconds per minute)

17952 feet / 3600 seconds = 4.99 feet per second