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horrorfan [7]
3 years ago
15

Paul's Pizzeria sells 45 cheese pizzas in 20 pepperoni pizzas each week what is the ratio of cheese pizzas to pepperoni pizzas s

old each week by Paul's Pizzeria
Mathematics
2 answers:
AnnZ [28]3 years ago
7 0

Write the ratio as a fraction with the number of cheese pizzas over the number of pepperoni:

45/20, which can be simplifies to 9/4


elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

  9 : 4 . . . or . . . 9/4

Step-by-step explanation:

Write the given numbers in a ratio expression:

  cheese pizzas : pepperoni pizzas = 45 : 20 = (5·9) : (5·4) = 9 : 4

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The ratio of the measures of the angles in cat is 2:7:9. find the measure of the smallest angle.
iren2701 [21]

Answer:

20º

Step-by-step explanation:

Total parts

2  + 7 + 9 = 18

Value of each part given 180º in a triangle

180 / 18 = 10º

Smallest angle

2 * 10 = 20º

4 0
2 years ago
Read 2 more answers
A line is perpendicular to x + 3y - 4 = 0 and has the same y-intercept as 2x + 5y - 20 = 0. Find the equation for the line.​
yawa3891 [41]
<h3>Answer:  -3x+y-4 = 0   (standard form)</h3>

This is equivalent to y = 3x+4 (slope intercept form)

By "standard form", I mean the form Ax+By+C = 0.

====================================================

Explanation:

Let's solve the first equation for y

x+3y-4 = 0

x+3y = 4

3y = 4-x

3y = -x+4

y = (-x+4)/3

y = (-x/3) + (4/3)

y = (-1/3)x + (4/3)

The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.

Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.

So this mystery perpendicular line we're after has a slope of 3.

It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.

2x+5y-20 = 0

2(0)+5y-20 = 0

5y-20 = 0

5y = 20

y = 50/5

y = 4

The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.

-------------------------------------

We found that:

  • m = 3 is the slope of the perpendicular line
  • b = 4 is the y intercept of the perpendicular line

So we know that,

y = mx+b

y = 3x+4

is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well

y = 3x+4

y-3x = 4

-3x+y = 4 .... one way to express standard form

-3x+y-4 = 0 .... another standard form

Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.

7 0
2 years ago
In this triangle, what is the value of X?
vovangra [49]

Answer:

The measure of angle x is 26.1\°

Step-by-step explanation:

we know that

In the right triangle of the figure, the tangent of angle x is equal to divide the opposite side to angle x by the adjacent side to angle x

so

tan(x)=\frac{26}{53}

x=arctan(\frac{26}{53})=26.1\°

3 0
3 years ago
Which transformation map the strip pattern onto itself?
jeka94
A horizontal translation and a 180 degrees rotation yields: d d d d d

a horizontal translation amd a reflection across a vertical line yields: q q q q q

a horizontal translation and a glide reflection yields: b b b b b

a translation only will yield: p p p p p

Therefore, the <span>transformation map the strip pattern onto itself is a horizontal translation only.</span>
6 0
3 years ago
Which graph shows the solution to the system of linear inequalities?
chubhunter [2.5K]

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

4 0
3 years ago
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