A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using 18 cups of sugar

Answer:

Correct option is C

Step-by-step explanation:

we have to tell that in which type of transformation angle are preserved.

Rotation:

This transformation turns a figure about a fixed point and the fixed point is known as the centre of rotation. The figures which goes through rotation has same angle as that of original figure.

i.e Rotation transformation preserves angle.

Reflections:

This transformation flip a shape over a line.

Angles also preserve in this type of transformation.

Translations:

This transformation involves sliding a shape. The figure only translate right left i.e shape or angle preserve i.e not changed.

Hence, the angles are preserve in in all three type of transformations that are rotation, reflection and transformation.

∴ Correct option is C

All three types of transformations (rotations, reflections, and translations) preserve angles, making the correct answer C. I, II and III.

The question is about determining which types of transformations preserve angles.

There are three main types of transformations to consider: rotations, reflections, and translations.

Angle Preservation in Transformations

Because all three types of transformations (rotations, reflections, and translations) preserve angles, the correct answer is C. I, II and III.

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.

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 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%.

Answer:

b

Step-by-step explanation:

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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Answer:

What is the question?

Step-by-step explanation:

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.

Know more about addition here:

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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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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.

The number 48 goes into 230 four times if you are counting whole times only. However, the exact answer with decimal places is 4.79.

The question is asking how many times the number 48 goes into the number 230. You can answer this by performing division. If you divide 230 by 48, you get approximately 4.79. However, if you are looking for a whole number answer, 48 goes into 230 four times with a remainder. There would be a remainder because 48 does not evenly go into 230.

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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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