Willow Boulevard intersects Main Street at a 71° angle, as shown in the diagram below. What is the measure of angle x ? Explain how you determined your answer.

Answer:

Each pizza costs $12.

Each drink costs $2.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of each pizza.

y is the cost of each drinks.

The Talbot family got 2 pizzas and 4 drinks for $32.

This means that [tex]2x + 4y = 32[/tex]

The Martinez family got 3 pizzas and 8 drinks for $52.

This means that [tex]3x + 8y = 52[/tex]

Using the addition method, multiplying the first equation by -2.

-4x - 8y = -64

3x + 8y = 52

-4x + 3x - 8y + 8y = -64 + 52

-x = -12

x = 12

Each pizza costs $12.

2x + 4y = 32

2x + 4y = 32

4y = 32 - 2x

4y = 32 - 2*12

4y = 8

y = 2

Each drink costs $2.

Answer:

Step-by-step explanation:

when operating with two negative signs, the signs change to positive. so, the question becomes;

4/7 + 3/5

find LCM of the denominators then calculate, or just use a calculator.

the answer is 41/35 or in mixed fraction = 1 and 6/35

Answer:

BOF

Step-by-step explanation:

I am not sure but if you line it up you'll get it

Answer:

angle BGF

Step-by-step explanation:

angle BGF is vertically opposite to angle DGE

Answer:

the spring constant is 34 degrees going left down

Step-by-step explanation:

Answer:

351

Step-by-step explanation:

Complete question :

Vanilla= 36

Chocolate=21

Strawberry=24

Chocolate Chip=39

SOLUTION:

39 chocolate chip to 200 students = x chocolate chip to 1800 students

39/200 = x / 1800

Solving for 'x'

(200)(x) = (39)(1800)

200x = 70200

x = 70200/200

x = 351

OR

39 out of 200 picked chocolate chip

therefore, 39/200 = 0.195 = 19.5%  ( 32.5% chose chocolate chip)

19.5% of 1800 = 0.195(1800) = 351 students

Answer:

3x³ + 17x² + 33x + 27

Explanation:

(x + 3)(3x² + 8x + 9)

= (x + 3)(3x² + 8x + 9)

= (x)(3x²) + (x)(8x) + (x)(9) + (3)(3x²) + (3)(8x) + (3)(9)

= 3x³ + 8x² + 9x + 9x² + 24x + 27

= 3x³ + 17x² + 33x + 27

Answer:

Option B. y = 14x - 3.5

Number of wins for the team will be 24.5

Step-by-step explanation:

Since line of best fit passes through two points (0.25, 0) and (0.75, 7)

Let the equation of the line of best fit is, y - y' = m(x - x') + c

Here 'm' = Slope of the line

              = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

              = [tex]\frac{7-0}{0.75-0.25}[/tex]

              = [tex]\frac{7}{0.5}[/tex]

          m = 14

Equation of the line of best fit passing through a point (0.25, 0) will be

y - 0 = 14(x - 0.25)

y = 14x - 3.5 [Option B]

Now number of wins for a team that scores 2 goals per match will be,

For x = 2

y = 14x - 3.5

y = 14×2 - 3.5

  = 28 - 3.5

  = 24.5 wins

Therefore, number of wins for the team will be 24.5

Answer:

B on khan and 24.5

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

isolate the variable by dividing each side by factors that dont contain the variable

Step-by-step explanation:

8x-4+2x+2=28

10x-2=28

10x=28+2

10x=30

x=3

Answer: i think about 4800 liters

Step-by-step explanation:

600 feet/ by 8 liters of sq ft is 4800

Answer:

Pine would be 108.5 Redwood would be 116.5.

Step-by-step explanation:

Since they both grow the same amount, we just add their original number by 73.5.

Answer:

0.45 or 45% or 9/20

Step-by-step explanation:

Altogether you have 20 cookies, and you have 9 chocolate chip cookies.

Answer:

Step-by-step explanation:

Your answers are -18 and -4

Answer:

£2250

Step-by-step explanation:

Interest= p×r×t÷100

Interest= 5000×7.5×6÷100

Interest= 225000÷100

Interest= £2250

Answer:

150 pages

Step-by-step explanation:

76%

Write as a decimal by dividing by 100

76% / 100 = 0.76x

0.76

Add a decimal (x)

0.76x

Set equal to 114 (the page Mary is at)

114 = 0.76x

Divide 0.76 by 114

x = 150

There are 150 pages in the book

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

150 pages. Mark me brainiiest.✌✌

Step-by-step explanation:

76%

Write as a decimal by dividing by 100

76% / 100 = 0.76x

0.76

Add a decimal (x)

0.76x

Set equal to 114 (the page Mary is at)

114 = 0.76.

Divide 0.76 by 114 x = 150.

There are 150 pages in the book.

Answer:

Step-by-step explanation:

To find the vertex of this parabola, "complete the square:"  Rewrite y = 4x2 - 12x + 9 in the form y = 4(x - h)^2 + k:

y = 4x^2 - 12x + 9  =>  y = 4(x^2 - 3x) + 9.

Now complete the square of x^2 - 3x:  Take half of -3 and square the result, obtaining (-3/2)^2, or 9/4.  Add 9/4 to x^2 - 3x and then subtract 9/4 from the result:  We get x^2 - 3x + 9/4 - 9/4.  Substitute this result back into

y = 4(x^2 - 3x) + 9:  y = 4(x^2 - 3x + 9/4 - 9/4) + 9

and then rewrite the perfect square x^2 - 3 + 9/4 as the square of a binomial:

                                 y = 4(x - 3/2)^2 - 9/4) + 9.  This simplifies to:

                                 y = 4(x - 3/2)^2 + 0.

Thus, the vertex is at            (3/2, 0) and the axis of symmetry is x = 3/2.  This agrees with Answer B.

Answer:

<KMN=5°

Step-by-step explanation:

<K+<L=<KMN

81+4x=13x+36

81-36=13x-4x

45=9x(divide both sides by 9)

x=5°=<KMN

Answer:

61 : 60

Step-by-step explanation:

Well to make a ratio, you just have to have David time : Mark time

So if you convert Mark's time into minutes, it is 60 minutes

61 : 60

That's the simplest form.

Answer:

ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60

Step-by-step explanation:

A ratio is a way of comparing numbers by dividing one number by the other. In order to write a ratio, both numbers have to be in the same units.

David takes 61 minutes to do a task.

Mark 1 hour to do the same task. 1 hour = 60 minutes.

You are comparing David's time to Mark's time.

The ratio of David's time to Mark's time is 61 minutes to 60 minutes.

ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60

Answer:

3

Step-by-step explanation:

edge 2022

Answer:

-n - 2

Step-by-step explanation:

3n+2(-2n-1)

= 3n -4n -2

= -n - 2

Answer:

B.

Step-by-step explanation:

Well in a secant - secant angle, the measure of E is equal to half the measure of CD - AB. You can calculate CD by subtracting 325 from 360.

CD = 35

E = 1 / 2(85 - 35)

E = 25

Answer:

B.

Step-by-step explanation:

Answer: 2.5 cm

Step-by-step explanation:

5/2=2.5

The radius is half the diameter to just divide the diameter by 2 to find the radius.

my second opinion would be you are correct, its b

Answer:

+8yds - 5yds = +3yds

Step-by-step explanation:

Answer:

A) Total amount to be paid = Birr 8,560

B) Amount of VAT liable to the dealer = Birr 520

Step-by-step explanation:

The tax on bought commodity and the tax on sold commodity isn't provided but in some places, these values are 7% and 9% respectively. So, these are the values that will be used for this question.

Note that these values vary from country to country and the value missing from this question will not change how the question is solved; the question will still be solved in a similar manner, only the parameters will vary.

A) The dealer bought Birr 8000 at 7% tax.

Total amount to be paid = cost price (1 + r%)

r = 7% = 0.07

Total amount to be paid = 8000 × 1.07 = Birr 8,560

B) To find the VAT, it is the difference between the tax paid when the good was bought and the tax put on it after it was sold.

Tax paid when the shoes were bought = 7% of cost price = 7% × 8,000 = Birr 560

Tax paid when the shoes were sold = 9% of selling price = 9% × 12,000 = Birr 1,080

VAT = tax recovered on sale - Tax paid on purchase

VAT = 1080 - 560 = Birr 520

Hope this Helps!!!

Answer:

-2

Step-by-step explanation:

Answer:

-1

f(2)= 2* 2 - 5 = -1

but if you meant f(x)=x²-5

its

f(2)=2²-5 = 4-5 = -1

it's indeed not the same for all other values of x, for example x=3!

(would really appreciate the brainliest)

Answer:

Volume of sphere is 2,304 pi ft^3

Surface area of sphere is 576 pi ft^2

Step-by-step explanation:

When we talk of a great circle, we are talking of a circle around the sphere that has the same radius as the sphere.

Mathematically the area of the great circle is pi * r * r

now pi * r^2 = 144 pi

divide both sides by pi

r^2 = 144

r^2 = 12^2

since power are equal, we equate bases and the radius of the circle is thus equal to 12 feet

Now to calculate the volume of the sphere,

We know that the volume of a sphere is ;

V = 4/3 * pi * r^3

V = 4/3 * pi * 12^3

V = 4 * pi * 4 * 12^2 = 2304 pi ft^3

The surface area of the sphere is mathematically equal to 4 * pi * r^2

= 4 * pi * 12^2 = 576 pi ft^2

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

To find the total surface area of a figure, we need to add all the areas of every surface and add them.

What is the surface are?

The surface area of a figure is the total area of the outside of the figure.

If the surface area of a particular figure is just only one type (ex: sphere), then the calculation of the surface area will be easier.

If the surface of a figure consists of different types of geometrical figure(ex: cone), then we need to find the area of each and then add them.

Learn more about the surface area of a figure here: https://brainly.com/question/10026601

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Answer:

10

Step-by-step explanation:

[tex]11430\cdot 14 = 160020[/tex] ounces

[tex]160020\div 16=10001.25\approx 10[/tex] tons.

Hope this helps!

The required weight that the truck carried in ton is 5.

In the counting or finding data problem we first calculate the value of unity element then further add or multiply the next ones

Here we have given truck carry

11,430 bottles

If each bottle weight = 14 ounce

Therefore total weight of 11,430 bottles is = 11,430x14 = 160020 ounce

Also we have

1 ton = 32000 ounce

Or 1 ounce = [tex]\frac{1}{32000}[/tex] ton

Therefore the required weight in ton of total weight 160020 ounce is

= [tex]\frac{160020}{32000}[/tex]

= 5

This is the conclusion to the answer.

Learn more about unitary method here-

https://brainly.com/question/8083231

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