Ariel and ber friends purchased some drinks and pizza slices at the snack bar each drink cost $2 and each pizza slice $4 they purchased 9 items and spent a total of $28

[tex]\bf \stackrel{\textit{we know that they are supplementary}}{\stackrel{\measuredangle A}{(3x+18)}~~ + ~~\stackrel{\measuredangle B}{(5x+2)}}~~ = ~~180 \implies 8x+20=180\implies 8x=160 \\\\\\ x=\cfrac{160}{8}\implies \boxed{x = 20} ~\hfill \stackrel{\measuredangle A}{3(20)+18}\implies 78[/tex]

Final answer:

The measure of ∠A, when ∠A and ∠B are supplementary, is found to be 78° after setting up an equation, simplifying it, and solving for x.

Explanation:

If ∠A and ∠B are supplementary angles, the sum of their measures is 180°. We have m∠A=(3x+18)° and m∠B=(5x+2)°. Set up an equation to find the value of x:

3x + 18 + 5x + 2 = 180.

Simplify and solve the equation:

8x + 20 = 180

8x = 160

x = 20

Now, substitute x back into the expression for m∠A:

m∠A = 3(20) + 18

m∠A = 60 + 18

m∠A = 78°

So, the measure of ∠A is 78°.

Answer:

18

Step-by-step explanation:

4 + 2(7)

This equation can be rewritten like this: 4 + 2 x 7

According to the order of operations, multiplication comes before addition.

So, we can go ahead and multiply 2 and 7 out:

4 + 2 * 7

4 + (2 * 7)

4 + (14)

Then, our second step is to add.

4 + 14 = 18

So, 4 + 2(7) = 18.

18 is your answer.

Please mark as Brainliest! :)

Answer:18

Step-by-step explanation:do parentheses. 4x7=14+4=18

The area of the rhombus is [tex]72 \ cm^2[/tex]

Explanation:

It is given that in a rhombus VWXY, the length of the diagonals are [tex]\mathrm{WY}=18 \ {cm}[/tex] and [tex]X V=8 \ {cm}[/tex]

The area of the rhombus can be determined by multiplying the diagonals and dividing by 2.

The area of the rhombus can be determined using the formula,

[tex]A=\frac{p q}{2}[/tex]

where p and q are diagonals of the rhombus.

Substituting the values in the formula, we have,

[tex]A=\frac{18\times 8}{2}[/tex]

Multiplying the numerator, we get,

[tex]A=\frac{144}{2}[/tex]

Dividing by 2, we have,

[tex]A=72 \ cm^2[/tex]

Thus, the area of the rhombus is [tex]72 \ cm^2[/tex]

A. Kellie's minute-per-mile pace 9 minutes per mile.

To find this, divide her time (72 minutes) by the number of miles she went (8). 72 divided by 8 is 9 minutes per mile.

B. Ashley ran 4 miles in 34 minutes. First, divide Ashley's time (102 minutes) by the number of miles she went (12). 102 divided by 12 is 8.5 minutes per mile. Then divide 34 by 8.5 to get how far she went in that time. Thus meaning 4 miles.

C. The difference in time between their 4 miles is 2 minutes. Kellie took 36 minutes to go 4 mile (4 miles times 9 minutes is 36 minutes) and Ashley took 34 minutes to go 4 miles (as stated in part B.) Lastly, subtract 34 from 36 to get the 2 minute difference.

I hope this helps!

Answer: I will give her $6.05 and collect the $0.5 in her possession

Step-by-step explanation:

Before proceeding, we need to know the quantity or equivalent of some of the things mentioned.

a.Nickel:- a nickel is 5¢, this means that the 20¢ in nickels that you had in your possession while in the restaurant is equal to (20/5) 4 nickel coins.

b. Two quarters :- Just as the name implies; 2 quarters of a dollar is [(1/4) + (1/4)] of 1 dollar = 50 cent.

We need to calculate the entire amount that needs to be given to the waitress. Since your bill after eating at the restaurant is $4.65 and the intended tip is 90¢, the sum that should be offered to her =

$4.65 + $0.90

= $5.55 (five dollars : fifty five cent).

According to the question, you have only 20 cents in nickels, so although you have five dollar bills to give the waitress, 55¢ is not available. Again, if you offer her six dollar bills, she wouldn't be able to give you a change of 45¢ ($6.00 - $5.55) because she only has 2 quarters of a dollar (50¢).

Now, since you are in possession of 20¢ in nickels, the best way to tackle the situation is to demand the two quarters that she has while handing out the 6 dollar bills and 1 nickel (5¢) to her. So, you should simply offer her $6.05 while you collect $0.50 from her in return)

Recall that the total amount that must be given to her (bill + tip) = $5.55

Then subtracting 50¢ from $6.50¢ will give:

$6.05 - $0.50

= $5.55

Therefore you have given her exactly $5.55¢ if you offer her six dollars five cent and collect fifty cents in return.

Answer:

9a -170

Step-by-step explanation:

Answer:

9a-170

Step-by-step explanation:

8a+ 12a-11a= 9a

-75-95= -170

9a-170

Answer:

1,228 yards

Step-by-step explanation:

I think the photo below is your full question

And here is my answer:

Area of a rectangle = bh

60,000 = 300h  

<=> h = 200

and the Circumference + 300 + 300 +πd + 300 + 300  + 3.14 x 200 + 300 + 300 = 1,228 yards

Answer:

52 years old

Step-by-step explanation:

let this mans age be a

400-3a=244

400=244+3a

400-244=3a

156=3a

a=52

Answer:

52 years old

Step-by-step explanation:

Let x= man's age

400-3x=244

-3x=-156

x=52

The man is 52 years old.

Answer:

if rounded to 5.50 it would be: .27¢ for 1 packet

Step-by-step explanation:

5.4 divided by 20 is .27 and 5.5 divided by 20 is .275 but .28 multiplied by 20 is over 5.50 which means it would be .27 cents for 1 packet :)

Answer:

tan B = [tex]\frac{35}{12}[/tex]

Step-by-step explanation:

tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{35}{12}[/tex]

Answer:

Step-by-step explanation:

Given that,

y=x+2 equation 1

2x-y=-4 equation 2

This is a simultaneous equation.

Substitute equation 1 into equation 2

2x-y=-4. Since y=x+2

2x-(x+2) = -4

2x-x-2 = -4

x-2 = -4

x = -4+2

x = -2

Also from equation 1

y=x+2

Since x=-2

y=-2+2

y=0

Then, solution (x, y) = (-2,0)

Answer: x = -2, y = 0

Step-by-step explanation:

[tex]y=x+2\\2x-y=-4[/tex]

Substitute y = x+2 in [tex]2x-y=-4[/tex]

Then we get, [tex]2x-(x+2)=-4[/tex]

[tex]2x-x-2=-4\\x-2=-4\\x=-4+2\\x=-2[/tex]

Then substitute x = -2 in any equations, just only one equation. For me, I'd substitute x = -2 in y = x+2

[tex]y=-2+2y=0[/tex]

So the answer is x = -2 and y = 0

The area of a trapezoid is given by:

[tex]A=\frac{(B_{1}+B_{2})h}{2} \\ \\ \\ A;Area \\ \\ B_{1}:First \ base \\ \\ B_{2}=Second \ base \\ \\ h:Heigth[/tex]

So given the equation:

[tex]\frac{( 12 + 14 )h}{2} = 52[/tex]

We can write a real problem as:

The bases of a trapezoid are [tex]12cm \ and \ 14cm[/tex] and the area of it is [tex]52cm^2[/tex]. What is the height of the trapezoid?

Solving:

[tex]\frac{( 12 + 14 )h}{2} = 52 \\ \\ 26h=104 \\ \\ h=\frac{104}{26} \\ \\ h=4cm[/tex]

Finally, the height of the trapezoid is 4cm

Answer:3

Step-by-step explanation: So if we start by breaking it down -5+ (5+3) we do the parentheses first (5+3) which equals 8. Then we are left with (-5)+8 and it would equal 3.

Final answer:

The expression -5 + (5 + 3) simplifies to 3 by first evaluating the expression inside the parentheses to 8, and then subtracting 5 from 8 to get the final result.

Explanation:

The given expression is -5 + (5 + 3). To simplify this expression, we can use the Associative Property of addition, which allows us to change the grouping of the numbers. We will also use the properties of addition and subtraction. Here is the step-by-step process:

Therefore, the simplified expression is 3.

Answer:

answer is 29

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:

There's no definitive question being asked.

Answer:

-3

Step-by-step explanation:

...

Step-by-step explanation:

Provide the values...........

Answer:

Change the denominators to be the same by check if they are factors and then multiply top then bottom

Step-by-step explanation:

Step-by-step explanation:

FOR EXAMPLE

[tex] \frac{3}{2} \times \frac{9}{5 } = \frac{27}{10} = 2.7 \\ [/tex]

The sequence is geometric because it decreases by a factor of 1/27.

In an arithmetic sequence, the terms change by a constant difference, while in a geometric sequence, the terms change by a constant ratio. In this case, the terms of the sequence are decreasing, and the ratio between consecutive terms is 1/27, which is a constant factor.

For example, if the sequence were arithmetic, you would see a consistent subtraction of a fixed number from one term to the next.

Therefore, the sequence is geometric because it follows the pattern of a geometric progression.

Read more on  geometric sequece https://brainly.com/question/24643676

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Answer:

y= -2x +7

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

9

Step-by-step explanation:

if

Žy - 3 when y = 4 and z=3

then,

4*3-3

=9

Answer: 4 packages of hamburger meat.

Answer:

The height is 3.183 cm.

Step-by-step explanation:

The volume [tex]V[/tex]of a cylinder with base radius [tex]r[/tex] and height [tex]h[/tex] is given by

[tex]V = \pi r^2h[/tex]

Now, if the volume and the radius is given, we can use this equation to work out the height of the cylinder:

[tex]h= \dfrac{V}{\pi r^2 }.[/tex]

For our graduated cylinder,

[tex]V = 490cm^3[/tex]

[tex]r = 7cm[/tex];

therefore,

[tex]h = \dfrac{490cm^3}{\pi (7cm)^2 }[/tex]

[tex]\boxed{h = 3.183\:cm}[/tex]

Thus, the height of the graduated cylinder is 3.183 cm.

Step-by-step explanation:

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.

lets make an assumption that the total weight of the shipment is x pound and cost for shipping is y.

the shipping company charges $6 for the first pound.

Up to now the charge is y=6

After 1 pound, i.e for the remaining (x-1) pounds, they charge $2 per pound.

So, the total charge will be, y=6+2(x-1)

weight is always starting from zero as there is no negative weight.so X>0

so the equation is 6(2x-1), where X is more than 0

Answer:

Its A on edge, f(x)=6+2[x-1], the brackets are rounding up

Answer:

the point is 3 i think

Step-by-step explanation:

Answer:

B   y=-1/2x -1

Step-by-step explanation:

The answer is 70.

The given pattern seems to follow the rule of multiplying the first number by the sum of its digits and adding the result to the second number:

For example:

4 + 2 = (4 x (4+2)) = 26

8 + 1 = (8 x (8+1)) = 79

6 + 5 = (6 x (6+5)) = 111

Therefore, for 7 + 3:

7 + 3 = (7 x (7+3)) = 70

Answer:

The correct answer is A.

Answer:

They won £30 in total

Step-by-step explanation:

∵ Sara and Gordon win some money

∵ They share it in the ratio 2 : 1

∵ Sara gets £20

- To solve the problem lets use the ratio method

→  Sara  :  Gordon

→  2        :  1            

→  20      :  x          

By using cross multiplication

∵ 2 × x = 1 × 20

∴ 2 x = 20

- Divide both sides by 2

∴ x = 10

∵ x represents the share of Gordon

∴ Gordon gets £10

- Add their shares to find the total

∴ The total = 20 + 10 = 30

∴ They won £30 in total

Answer:

Option 3

Step-by-step explanation:

Volume of a sphere:

(4/3)×pi×r³

(4/3)pi × 6³

288pi cm³