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2 years ago

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The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5. Which pair of equivalent ratios could be used

to fund how many student could prefer kiwi if there are 357 total students ?

1 answer:

AlexFokin [52]2 years ago

3 0

Answer:

<u> 105</u> students could prefer kiwi if there are 357 total students.

Step-by-step explanation:

Given:

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.

Now, to find number of students prefer kiwi if there are 357 total students.

Let the students prefer pineapple be $12x.$

And the students prefer kiwi be $5x.$

Total students = 357.

So, we set an equation to get the number of students who prefer kiwi.

According to question:

$12x+5x=357$

$17x=357$

<em>Dividing both sides by 17 we get:</em>

$x=21.$

<em>Thus, students prefer kiwi are:</em>

$5x$

$=5\times 21=105.$

Therefore, 105 students could prefer kiwi if there are 357 total students.

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Which of the following examples best represents the use of an interval scale? measuring the number of cookie boxes sold by scout

Mashcka [7]

Answer:

students' ratings of their professors' performance on a five-point scale ranging from poor to excellent

Step-by-step explanation:

There are four type of scales in mathematics. They include:

1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot

2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance

3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.

Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.

4. Ratio scale : this scale has the property of order, a meaningful zero and equal intervals.

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3 years ago

The difference of a number x and 4 is 3

Kruka [31]

"the difference of a number x and 4": x - 4
"is": =
"3": 3

Combine the terms so that it looks like the sentence numerically:

"the difference of a number x and 4 is 3": x - 3 = 4

x - 3 = 4 is your answer.

To solve for x:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Add 3 to both sides.

x - 3 = 4

x -3 (-3) = 4 (-3)

x = 4 - 3

x = 1

1 is your answer for x.

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3 years ago

Write an<br> explicit formula for<br> then<br> th<br> an.<br> term of the sequence 45, 15,5. ....

7nadin3 [17]

Answer:

The sequence above is a geometric sequence

For an nth in a geometric sequence

$u(n) = a {r}^{n - 1}$

where n is the number of terms

a is the first term

r is the common ratio

From the question

a = 45

r = 15 / 45

The explicit formula for the sequence is

U(n) = 45(1/3)^n-1

Hope this helps you

7 0

3 years ago

A woman is 32 years older than her daughter. The product of their ages is 528. How old was the woman when the daughter was born?

Misha Larkins [42]

The woman was 32 when her daughter was born

7 0

3 years ago

Read 2 more answers

Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result

Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) $(10-x)(12-x)=15$

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

$length=10-x\\breadth=12-x$

According to question , Area of new image is :

⇒ $Area = \frac{1}{8}Length(breadth)$

⇒ $Area = \frac{1}{8}(10)(12)$

⇒ $Area = 15$

So the equation will be :

⇒ $(10-x)(12-x)=15$

b. Find the dimensions of the reduced image

Let's solve : $(10-x)(12-x)=15$

⇒ $120-10x-12x+x^2=15$

⇒ $120-22x+x^2=15$

⇒ $x^2-22x+105=0$

By Quadratic formula :

⇒ $x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $x = \frac{22 \pm8 }{2}$

⇒ $x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}$

⇒ $x = 15 , x =7$

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ $x =7$

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

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