A plane can fly 330 miles in the same time as it takes a car to go 210 miles. If the car travels 60 mph slower than the plane, find the speed of the plane.

Answer:

the correct APEX answer is $4999.17

The cost of car is $4,999.16.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A used-car dealer has a vehicle on the lot with a sticker price of $5999.

Mark up = 20%

let the cost of Car be x.

So, x+ 20% of x = 5999

x + 20/100 x = 5999

x + 0.20 x = 5999

1.2 x= 5999

x = 5999/ 1.2

x = $4,999.16

Hence, the cost of car is $4,999.16.

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Answer:

They can paint 1050 sq.feet with 3 gallons of paint

Step-by-step explanation:

Given :Stacy and Neil painted 280 ft2 of there living room wall with 4/5 gallon of paint.

To Find : How many square feet can they paint with 3 gallons of paint?

Solution :

Area painted with [tex]\frac{4}{5}[/tex] gallons of paint = 280

Area painted with 1 gallon of paint =[tex]\frac{280}{\frac{4}{5}} = 350 ft^2[/tex]

Area painted with 3 gallons of paint =[tex]350 \times 3 = 1050 ft^2[/tex]

Hence they can paint 1050 sq.feet with 3 gallons of paint

Answer:

[tex]52.5\ miles[/tex]

Step-by-step explanation:

we know that

The scale on the map is equal to

[tex]\frac{2}{15}\frac{cm}{miles}[/tex]

so

by proportion

Find how many miles are [tex]7\ cm[/tex] on the map

[tex]\frac{2}{15}\frac{cm}{miles}=\frac{7}{x}\frac{cm}{miles}\\ \\x=15*7/2\\ \\x=52.5\ miles[/tex]

Answer:

4/5

Step-by-step explanation:

The purple paint is split into 16+3+1=20 parts: 16 parts of white, 3 parts of blue, and 1 part of red. Thus, in one gallon of purple paint, 16 out of the total 20 parts are white paint, so there are 16/20 x 1 gallon = 4/5 gallons of white paint in one gallon of purple paint.

The amount of white paint that is needed in order to make a gallon of purple paint would be 4 / 5 gallons.

The ratio of white:blue:red paint is given as 16:3:1. The sum of these ratio components gives the total parts for one 'unit' of paint.

So, 16 (for white) + 3 (for blue) + 1 (for red) = 20 total parts.

This implies that the 20 parts in this ratio make up 1 gallon of purple paint (as per the question). To find the quantity of white paint needed, we simply need to convert the 'parts' of white paint into gallons.

Since 20 parts is equivalent to 1 gallon, 1 part would be equivalent to 1/20 of a gallon. Therefore, 16 parts of white paint would be equivalent to :

= 16 * (1/20)

= 16/20

= 4/5 gallons

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Answer:32.39

Step-by-step explanation: cost of movie is 19.9

Cost of earphone is 12.49

Adding both cost is 19.9+12.49

=32.39

The cost before tax deduction is 32.39

Answer:

dont come at me if im wrong but im pretty sure the answer is 1/2 or .5

Step-by-step explanation:

The system of equations x+3y+5z=45, 6x-3y+2z=-10, -2x+3y+8z=72 can be solved algebraically to get the values x=6, y=12, z=-1.

First, we can combine the first and the second equations and the first and third equations to cancel out y.

Doing so, we get: x+3y+5z+6x-3y+2z=45-10 and x+3y+5z-2x+3y+8z=45+72

The new equations simplify to 7x+7z=35 and -x+13z=117

Next, we can divide the first new equation by 7 to get x+z=5. Subtract x from both sides to get z=5-x.

Substitute z=5-x into the second equation to find the value of x.

Performing these substitutions gives x=6. Substituting x=6 back into the equation z=5-x gives z=-1.

Finally, we substitute x=6 and z=-1 back into the original equations to solve for y: y=(45-6-5(-1))/3 = 12

So, x=6, y=12, z=-1 are the solutions to the system of equations.

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The two consecutive even integers are 8 and 10.

Given that, three times the smaller of two consecutive even integers is four less than twice the larger.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let two consecutive even integers be x and x+2.

Now, 3x-4=2(x+2)

⇒ 3x-4=2x+4

⇒ 3x-2x=4+4

⇒ x=8

So, x+2=10

Therefore, the two consecutive even integers are 8 and 10.

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The result of the expression 42-24 divided by 6, calculated using the 'Order of Operations' rule, is 38.

You've asked to solve this mathematical expression: 42-24 divided by 6. To do this correctly, we must follow the 'Order of Operations,' often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

In your problem, the operations are Subtraction and Division. Following the PEMDAS rule, we perform Division before Subtraction. Therefore, first perform 24 divided by 6, which is 4. Then, subtract that result from 42. In the end, 42 minus 4 gives us 38 as the final answer.

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Answer: The share would be approximately $285, $175, $141 respectively.

Step-by-step explanation:

Since we have given that

Number of box tops collected by Mr. Aceves's class = 3760

Number of box tops collected by Mrs. Baca's class = 2301

Number of box tops collected by Mr, Canyon's class = 1855

We first find the ration of box tops of Mr. Aceves, Mrs. Baca and Mr. Canyon respectively:

3760:2301:1855

Total = 3760+2301+1855=7916

Total amount to be share among them as a prize = $600

Mr. Aceves's share is given by

[tex]\dfrac{3760}{7916}\times 600\\\\=284.99\\\\\approx 285[/tex]

Mrs. Baca's share is given by

[tex]\dfrac{2301}{7916}\times 600\\\\=175.08\\\\\approx 175[/tex]

Mr. Canyon's share is given by

[tex]\dfrac{1855}{7916}\times 600\\\\=140.60\\\\\approx 141[/tex]

Hence, the share would be approximately $285, $175, $141 respectively.

Answer:

400+ (15c)

$670

Step-by-step explanation:

Eliza earns per week = $400

She earns for each new customer's signs up = $15

Let the number of new customers Eliza signs up = c

The expression that shows her earning in a week will be

400+ (15c)

If the number of customers that signs up = 18

The weekly earning of Eliza will be = 400+(15 × 18)

                                                          = 400 + 270

                                                          = $670

Eliza's earning in a week would be $670.

The distributive property of multiplication is used to simplify 7 x 22. By substituting 22 with 20 + 2 and distributing the multiplication, it becomes 7 x 20 plus 7 x 2, which equals 154.

The question is asking us to use the distributive property of multiplication to calculate 7 x 22. The distributive property allows us to multiply a single term and two or more terms inside a set of parenthesis. Here we are given the hint that 22 = 20 + 2.

Following the hint, we substitute 22 with (20 + 2) in the multiplication expression. So, 7 x 22 becomes 7 x (20 + 2). Now, by distributive property, we can take the multiplication inside the parenthesis.

By adding both these results, 140 + 14, we get the final answer 154.

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The two points on the line y = − 56x − 4 will be (1, −60) and (−1, 52).

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

y = − 56x − 4

Let x = 1, the value of y will be

y = − 56 (1) − 4

y = − 56 − 4

y = − 60

Let x = − 1, the value of y will be

y = − 56(−1) − 4

y = 56 − 4

y = 52

The two points on the line y = − 56x − 4 will be (1, −60) and (−1, 52). Then the diagram of the line is given below.

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