x + 2y = 10

3x + 4y = 8

Which point is the solution to the system of equations?

A)
(7, 1.5)

B)
(11,-12)


C)
(-11, -12)


D)
(-12, 11)

To convert 5 quarts to cups, multiply 5 by the conversion factor of 4 cups per quart, resulting in 20 cups.

To convert from quarts to cups, you need to use a conversion factor. The conversion factor for converting quarts to cups is 1 quart = 4 cups. Therefore, to convert 5 quarts to cups, you need to multiply the number of quarts by the conversion factor.

The calculation is as follows:

Therefore, 5 quarts is equal to 20 cups.

To represent this situation, we create the inequality 12x + 15y ≤ 84, where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes stacked.

To represent this situation, we can create an inequality based on the height of the moving van and the heights of the boxes. Let's define variables for the number of 12 inch boxes and 15 inch boxes stacked. Since we want to stack them as high as possible, we want the sum of the heights to be less than or equal to the interior height of the van:

12x + 15y ≤ 84

where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes.

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The fraction of books that were sold by the online bookstore to foreign customers is equal to [tex]\frac{8B}{100}[/tex].

Given the following data:

To determine the fraction of books that were sold by the online bookstore to foreign customers:

In Mathematics, a fraction can be defined as a numerical quantity that isn't a whole number.  Thus, a fraction is simply a part of a whole number.

First of all, we would convert the percentage of books sold in decimal to fraction.

Conversion:

0.8% = [tex]= \frac{8}{100}[/tex]

Next, we would multiply the total number of books sold by this fraction:

[tex]Fraction\;sold =\frac{8}{100} \times B\\\\Fraction\;sold =\frac{8B}{100}[/tex]

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To convert 70% to a fraction, write it as 70/100 and simplify by dividing both the numerator and the denominator by 10 to get 7/10.

To convert 70% to a fraction in simplest form, you first write it as a fraction with a denominator of 100, which would be 70/100. Then, to simplify the fraction, you find the greatest common divisor (GCD) that 70 and 100 have in common. Both numbers are divisible by 10, so when you divide both the numerator and the denominator by 10, you get 7/10. In this simplest form, the numerator is 7 and the denominator is 10, which is the fraction equivalent of 70%.

Step-by-step explanation:

To write the ratio of non-fiction to fiction books, we need to compare the number of non-fiction books to the number of fiction books.

1. The first way to write the ratio is in the form of a fraction. We can express the number of non-fiction books as the numerator and the number of fiction books as the denominator. In this case, the ratio would be 2/5 since Rita had 2 non-fiction books out of a total of 7 books.

2. The second way to write the ratio is using a colon (:). We can write the number of non-fiction books followed by a colon and then the number of fiction books. In this case, the ratio would be 2:5.

3. The third way to write the ratio is as a word ratio. We can use the words "non-fiction" and "fiction" to describe the ratio. In this case, the ratio would be "2 non-fiction books to 5 fiction books."

These three different ways to write the ratio of non-fiction to fiction provide different formats for expressing the relationship between the two types of books. Each format can be used depending on the context or preference.

Answer:

Step-by-step explanation:

Alright, lets get started.

The given is :

[tex]63+?=87[/tex]

Suppose the asked number is x, so

[tex]63+x=87[/tex]

It means we need to find x.

If we subtract 63 from both sides, the give equation will become:

[tex]63+x-63=87-63[/tex]

[tex]x=24[/tex]

So the missing number is 24   :    Answer

To find the height of the Space Needle, a proportion is set up comparing the woman's height and shadow length to the Space Needle's shadow length. The calculation reveals that the Space Needle is approximately 60.83 feet tall.

The student is asking to solve a proportion problem to determine the height of the Space Needle in Seattle, Washington. This is based on the concept of similar triangles where two figures have the same shape but different sizes, and the sides are in proportion. Since the woman who is 5'5" (which is equivalent to 65 inches) tall casts a 13-inch shadow, we can set up a proportion where the height of the Space Needle is to its shadow (121 feet or 1452 inches) as the woman's height is to her shadow. The proportion looks like this:

Height of Space Needle / 1452 inches = 65 inches / 13 inches

By cross-multiplication, we can solve for the height of the Space Needle:

Height of Space Needle * 13 inches = 65 inches * 1452 inches

Height of Space Needle = (65 * 1452) / 13

Height of Space Needle = 9490 / 13

Height of Space Needle = 730 inches

To convert this back to feet, we divide by 12, since there are 12 inches in a foot:

Height of Space Needle = 730 inches / 12 inches/foot = 60.83 feet (approximately)

Therefore, the Space Needle is approximately 60.83 feet tall, based on the given shadows and the woman's height.

The word sentence 'The quotient of two times a number k and -2.6 is 12' translates to the equation (2 × k) / -2.6 = 12. Solving for k gives k = -15.6.

The sentence describes 'the quotient of two times a number k and -2.6 is 12'. Quotient refers to the result of division. Therefore, the equation that represents this sentence is:

(2 × k) / -2.6 = 12

To find the value of k, you would multiply both sides by -2.6 and then divide by 2:

-2.6 × 12 = 2 × k => -31.2 = 2 × k

k = -31.2 / 2 => -15.6

Answer: it's four

Step-by-step explanation:

Answer:

its -4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The rectangular lawn's dimensions that match the given area (153 square meters) and perimeter (52 meters) are 17 meters in length and 9 meters in width.

This problem is solved using the formulae for the area and the perimeter of a rectangle. The area is given by Area = length x width and the perimeter by Perimeter = 2 x (length + width). Because we know both the area and the perimeter of the rectangle, we have a system of two equations and two unknowns. Given that the area is 153 and the perimeter is 52, we can write the equations as follows: lw = 153 and 2l + 2w = 52.

By solving this system of equations, we find that the dimensions of the rectangle that satisfy these two equations are length = 17 meters and width = 9 meters. Therefore, the lawn's dimensions are 17 meters in length and 9 meters in width.

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1/2) / (1/15) = x / 1.....1/2 mile to 1/15 hr = x miles to 1 hr

cross multiply

1/15x = 1/2

x = 1/2 * 15

x = 15/2 or 7 1/2 miles per hour

Hope this helps

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To count from 82 to 512, you can do so by adding 10 to each preceding number starting from 82 until you reach 512.

One way to count from 82 to 512 is to count by multiples of 10, which are also known as 'tens'. Begin by starting at the number 82 and adding 10 to get 92. Then, continue adding 10 to each resulting number. Continue this process until you reach the number 512. So, the sequence would look like this: 82, 92, 102, 112... until you eventually reach 512.

Note: This is just one simple method. Depending on the circumstances, you might want to count by other numbers. For instance, you could count by 20's or 50's. Each will yield a different number of steps, and some might be more efficient than others depending on the context.

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Using the mathematical operation of addition, we know that James identified a total of 110 places on the map.

The places which James correctly named on the map are:

So, to know how many of the places James identify, we should take the sum of all the places as follows:

Therefore, using the mathematical operation of addition, we know that James identified a total of 110 places on the map.

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