A group of 25 students participated in a science competition. Their scores are below.
Score (points) 30-39 40-49 50-59 60-69 70-79
Number of Students
5
7
6
4
3
Would a dot plot or a histogram best represent the data presented here? Why?
O Histogram, because a large number of scores are reported as ranges
O Histogram, because a small number of scores are reported individually
O Dot plot, because a large number of scores are reported as ranges
O Dot plot, because a small number of scores are reported individually

The average number of miles that he would have to ride each day to meet his goal is 20 + 4x = 45.6.

let the average number of miles be represented by x.

Total number of miles = 45.6

Therefore the expression will be:

20 + (4 × x) = 45.6

20 + 4x = 45.6

4x = 45.6 - 20

4x = 25.6

x = 25.6/4

x = 6.4 miles

He has to ride 6.4 miles per day.

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4/5 divided by 4/3 is equal to 3/5.

In order to divide 2 fractions, we need to first flip the second fraction upside down and then multiply it with the other fraction.

Here, we need to simplify the following expression- 4/5 ÷ 4/3

As mentioned, here also we flip the fraction 4/3 ⇒ 3/4

Now, we multiply it with 4/5,

Thus 4/5 ÷ 4/3 becomes 4/5 × 3/4

now 4/5 × 3/4 = (4 × 3) / (5 × 4)

⇒ (4 × 3) / (5 × 4) = 12/20

Now, we convert this into a simplified fraction by dividing the numerator and denominator by 4. Thus, we get-

= 3/5

Thus, the value of the expression is 3/5.

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Your question was incomplete. Check for full content below-

Perform the operation and reduce the answer fully. Make sure to

express your answer as a simplified fraction.

4/5 divided by 4/3

Answer:

f(g(x)) = 9x² - 6x + 1

Step-by-step explanation:

We are told that:

• [tex]f(x) = x^2[/tex]

• [tex]g(x) = 3x -1[/tex].

In order to find [tex]f(g(x))[/tex], we have to replace [tex]x[/tex] in the definition of [tex]f(x)[/tex] with the definition of [tex]g(x)[/tex]. In other words, [tex]3x -1[/tex] has to be the input for [tex]f(x)[/tex]:

[tex]f(g(x))[/tex] = [tex]f(3x -1)[/tex]

          ⇒ [tex](3x - 1)^2[/tex]

          ⇒ [tex]9x^2 - 6x + 1[/tex]

Therefore, f(g(x)) = 9x² - 6x + 1.

The equation of a horizontal line containing the point is y = -8

The point is given as (4,-8)

Rewrite as

(x, y) = (4,-8)

The line is a horizontal line

So, we remove the x value

This gives

y = -8

Hence, the equation of a horizontal line containing the point is y = -8

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Answer:

True

No solution

Step-by-step explanation:

The system of equations is

x + y +2 = 15      (1)
2x + 2 = 1           (2)
2y  - 2 = 7          (3)

Subtract 2 from both sides of Eq (2)

==> 2x + 2 - 2 = 1 - 2

==> 2x = -1

==> x = - 1/2 = - 0.5

Add 2 to both sides of Eq (3)

2y - 2 + 2  = 7 + 2

2y = 9

y = 9/2 = 4.5

Plug in values for  x and y in Eq (1)

x + y + 2 = 15 becomes

- 0.5 + 4.5 + 2 = 15

==> 6 = 15   which is false

This is an inconsistent system of equations. and therefore has no solution

If Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.

Given that Amanda won 62 pieces of gum and division has been done in such a way that 2 pieces to each friend are given and only 8 has remaining.

We are required to find the number of friends that Amanda have.

If 8 pieces of gums are left then the number of pieces distributed will be 62-8=54 pieces of gums.

Since 2 pieces are given to 1 friend so the number of friends will be=54/2=27 friends.

Hence if Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.

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The final simplified expression representing the total miles driven in three days is 4x-90.

Let the miles drove on the day 1 be x

A/Q

On day 2 , we drove 10 more than twice the miles driven on day 1 =2x+10

On day 3 we drove 100 miles less than day 1 = x-100

Simplified expression representing the total miles driven in 3 days

day 1 = x miles

day 2 = (2x+10)miles

day 3 = x-100

total = x+2x+10+x-100

= 4x-90

Some "solving" difficulties are related to "simplification" challenges. Some equations, like some expressions, contain parentheticals and even nested grouping symbols. The technique of simplifying is the same whether we're working with expressions (and therefore only simplifying) or equations (and so including solving).

To simplify an expression, write an equivalent expression with no related terms. This implies we'll rephrase the expression with as few terms as feasible.

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Joseph could use C), D), and E) to make kebabs without any leftovers:

C) 30 pieces of meat and 40 pieces of vegetables

D) 45 pieces of meat and 60 pieces of vegetables

E) 72 pieces of meat and 96 pieces of vegetables

How were the answers determined? To solve for the answer, here are some pointers:

Consider the given which states that each kebab has 3 pieces of meat and 4 pieces of vegetables, and Joseph wanted to make kebabs without any leftovers - meaning, there should be no extra piece of meat or no extra piece of vegetable.

In choosing which is the answer, make sure that the number of pieces of meat must be divisible by 3 (pieces of meat), and the number of pieces of vegetables must be divisible by 4 (pieces of vegetables). This was also based on the given.

Moreover, the quotient for meat and the quotient for vegetables must be equal to each other so that there will be no leftovers.

Therefore, the answers are C), D), and E) because these three answers satisfy the conditions above.

Here are other links that are related to the said topic:

Example of word problem: brainly.ph/question/1750134

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How to solve math problems: brainly.ph/question/47143

the answer is 2, 590,000

Question:

Round 2,586,991 to the nearest ten thousand

Answer:

2,590,000

Step-by-step explanation:

If you did the 86991 just think of it as 1-10 what is that whole number closer to it would be 90000 if you rounded it to 80000 that would be incorrect because it is not closer to 8 than 9.

I hope it helps you!

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Answer:

920

Step-by-step explanation:

We must remember the rounding rule.

➩ <5? Keep/go up

➩ 5? Go up

➩ >5? Go up

➲ Hope this helps!

Answer: 62, 63, 64, 65

Step-by-step explanation:

254/4=63.5

so, you know that

[tex]63.5+63.5+63.5+63.5=254[/tex]

[tex]62+63+64+65=254[/tex]

You can kind of tell by looking at the 63.5, because integer is a whole number so the two whole number above and below 63.5 would average out to 63.5

Hope this helps!

Answer: 9/20

Step-by-step explanation:

45%=

45 * 100%/100=

45 * 1/100=

45/100=

4.5/10=9/20

Answer:

1. any 1 number

2. number

Step-by-step explanation:

Answer:  A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Step-by-step explanation: I hope this helps.

Answer:

  3 to 4

Step-by-step explanation:

Perhaps you want to reduce the ratio (5/12) to (5/9).

You have the ratio of two fractions with the same numerator. The ratio of the fractions will be the inverse of the ratio of their inverses:

  (5/12) : (5/9) = (9/5) : (12/5) . . . . . . invert fractions and swap sides

 = 9 : 12 = 3 : 4 . . . . . . . . . . . . . multiply by 5 and divide by 3

The ratio (5/12) to (5/9) is 3 to 4.

The volume of the shelter is 1108.25 cu. ft.

What is a Cuboid?

A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.

The volume of a cuboid whose length is l,

The width is w, and

Height is h.

Volume = length × Width × Height

V = l × b × h

The length of the shed is 20.5 ft.

The width of the shed is 12ft.

The height of the shed is 3 ft.

The volume of the shed is:

V = 20.5 × 12 × 3

V = 738 cubic ft.

Therefore, the shed has a volume of 738 cubic ft.

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Answer:

$822.25

Step-by-step explanation:

you will minus all the numbers

If Moussa thinks of a number whose root is a multiple of 3, then there are many possible numbers, like 9, 36, 81, etc.

The numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).

The number that Jiale thinks of is 64.

There are three separate, unrelated questions.

Firstly, Moussa thinks of a number whose root is a multiple of 3. Let us assume that the number is "y" and the concerned multiple of 3 be "3x" where (x = 1, 2, 3, 4, 5...)

Hence, as per the question statement,

[tex]\sqrt{y} =3x \\or, y = (\sqrt{y})^{2} =(3x)^{2} \\or,y=9x^{2}...(i)[/tex]

Using (x = 1, 2, 3, 4, 5...) in equation (i), we can have our possible set of answers, i.e., (9, 36, 81...)

Second, we are required to determine all the numbers between 100 and 200 that have an integer square root. We know that, [(10)² = 100]. Therefore, we will have to calculate the squares of numbers above 10 till the squared value reaches or crosses 200, i.e.,

[tex]11^{2}=121, (100 < 121 < 200)\\12^{2}=144, (100 < 144 < 200)\\13^{2}=169, (100 < 169 < 200)\\196^{2}=196, (100 < 196 < 200)\\15^{2}=225, (200 < 225)\\[/tex]

Hence, the numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).

Third, Jiale thinks of a number whose square root of cube root is 2. Let the number be "z". As per question statement,

[tex]\sqrt{\sqrt[3]{x}}=2\\ or,(x^{\frac{1}{3}})^\frac{1}{2} =2\\or,(x)^(\frac{1}{3}*\frac{1}{2})=2\\or, (x)^\frac{1}{6}=2\\or,x=(2)^6\\or,x=64[/tex]

And to show that Jiale would have got the same number (2) by calculating the the square root first and then the cube root,

[tex]\sqrt{64} =8,\\\sqrt[3]{8}=2[/tex].

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Answer:

Step-by-step explanation:

Number of girls to boys

11:14

Number of boys to the total number of students

14:25

Total number of students to number of girls

25:11

Number of boys to number of girls

14:11

Answer:

Base on the picture, if there are no other choices beside A,B,C then the correct answer would be C. The picture only shows the first two pairs of x and y and they are both proportional, but I'm unsure about the rest of the pairs in C because the picture got cut off.

A and B are incorrect because they do not represent a proportional relationship between x and y. If there are no other choices, then C would be more correct than A and B.

Hope this helps :)

Answer:

The period is 12 months

Step-by-step explanation:

The temperature values (y-axis) repeat every 12 months (x-axis).

Answer:

-20

Step-by-step explanation:

=(9+5-(-6)) (5+(-6))

=(20) (-1)

=-20

If we want to have solutions for the linear equation, the value of A must be 4,

Let's define A as the number that should be in the box, now we can write the linear equation in the image as:

A*(5x + 6) = 20x + 24

We want to find the value of A, if we divide both sides by 5x + 6 we will get:

A = (20x + 24)/(5x + 6)

The numerator can be rewritten as:

20x + 24 = 4*(5x + 6), replacing that we will get:

A = 4*(5x + 6)/(5x + 6) = 4

Then we conclude that, if we want to have solutions for the linear equation, the value of A must be 4.

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Answer:

oh hello

Step-by-step explanation:

hi i am here to help you