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Dovator [93]
2 years ago
6

Ariel made 108 cupcakes. If 32 of them are chocolate, what percent of the cupcakes are vanilla?

Mathematics
1 answer:
Leni [432]2 years ago
8 0

Answer:

About 70%

Step-by-step explanation:

Subtract the number of chocolate cupcakes from the total cupcakes.

108-32=76

76 cupcakes are vanilla.

Divide 76/108

76/108

70.3%

About 70% of the cupcakes are vanilla.

(I don't know if you are allowed to use a calculator in your class, but I did)

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Simplify the expression<br><br>cot^2x - cot^2x cos^2x
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Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x
8 0
3 years ago
Skill in adding and subtracting decimals is useful for calculating ______ .
Sholpan [36]

Answer:

<u>the amount saved in buying a pair of $32.95 blue jeans on sale for $26.50</u>

Step-by-step explanation:

all are pretty good answers but that one is most reasonable

have a nice day :)

7 0
2 years ago
Read 2 more answers
write an equation in slop-intercept form for a line that is perpendicular to the line y= -5x-3 and has a y-intercept of 6.
jenyasd209 [6]

Answer:

The equation of the line would be y = 1/5x + 6

Step-by-step explanation:

First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.

Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.

y = mx + b

y = 1/5x + 6

6 0
3 years ago
Marine fuel is a combination of gasoline and motor oil. The standard gasoline and oil mixture is about 98% gasoline and about 2%
Georgia [21]

Answer:

0.98g+ 0.02m= 7.1224 gallons standard mixture

0.96g+ 0.04m= 6.25 gallons break oil

3.92 gallons of gasoline  is required for  4 gallons the standard mixture

Step-by-step explanation:

If we have to use 6 gallons of gasoline this means that 98%= 6 gallons and 2% would be 6/98*2

Gasoline: Motor oil

6              :    x

98        : 2

Using the product rule

x= 6*2/98= 0.1224 gallons of motor oil is required.

Let the gasoline be represented by g and motor oil by m then for the standard oil the equation would be

0.98g+ 0.02m= 7.1224 gallons standard mixture

For break in oil

Gasoline: Motor oil

6              :    x

96        : 4

Using the product rule

x= 6*4/96= 0.25 gallons of motor oil is required.

Let the gasoline be represented by g and motor oil by m then for the break oil the equation would be

0.96g+ 0.04m= 6.25 gallons break oil

Part b. For  4 gallons of the "break in" mixture

96% of the 4 gallons of the "break in" mixture is gasoline =  3.84 gallons of gasoline

4% of 4 = 0.16 gallons of motor oil

Now the standard mixture 4 gallons would contain 98 % of gasoline and 2 % of motor oil

98% of 4 gallons= 3.92 gallons of gasoline

2% of  4 gallons= 0.08 gallons of motor oil.

6 0
3 years ago
Use the marked parallel lines to find the value of y in the diagram below (1 point)
Inessa [10]
2x + 5 = 3x - 45                    [alternate interior angles]
3x - 2x = 5 + 45
x = 50

4y - 1 + 2x + 5 = 180                [supplementaly angles]
4y + 2(50) + 4 = 180
4y + 100 = 176
4y = 76
y = 19
7 0
3 years ago
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