11. A survey of students showed that of them will try the new cafeteria foods. If 180 students are given a new cafeteria food, how many of them will try it? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answer:

Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

Step-by-step explanation:

Considering the table

Lydia's Number of Pencils = 10

Lydia's Number of Pens = 7

Lydia's Pencils to Pens ratio = 10/7

Angel's Number of Pencils = 9

Angel's Number of Pens = 6

Angels's Pencils to Pens ratio = 9/6 = 3 / 2

Elizabeth's Number of Pencils = 12

Elizabeth's Number of Pens = 9

Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3

So, We get the inputs ratios such as:

Lydia's ratio:  Angels's ratio: Elizabeth's ratio

      10/7      :         3 / 2         :        4 / 3

As the least common denominator (LCD) is: 42

Rewriting as equivalent fractions with the LCD:

10/7            :         3 / 2         :        4 / 3

60 / 42       :        63/42       :       56/42

Sorting from least to greatest:

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

Elizabeth's ratio       :         Lydia's ratio       :    Angels's ratio:  

4/3                             :         10 /7                  :        3 / 2

56/42                        :          60 / 42             :         63/42

Therefore, Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

Answer:

32.50

Step-by-step explanation:

It is simple. You need to know the basics of money, fractions, and well... Math! :)

if you take 13 and multiply it by 2 you get 26

Take the 26 and put it aside ------------->         26

divide 13 in half. that would be 6.50

6.50 + 6.50 = 13      

Now get the 26 -------------------------->  26

and add 6.50 to 26.

That would be 32.50!

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Answer:

128.39

Step-by-step explanation:

37% -----> 0.37 x 347= 128.39

Answer:

13

Step-by-step explanation:

2 to the power of 4 - 6 divided 2

16 - 6 divided by 2

16 - 3

13

Answer: 13

Step-by-step explanation:

2 to the power of 4 =

16 - 6/2 = 16 - 3 = 13

Given:

The equation is

[tex]y=-1(x-4.5)^2+15.25[/tex]

To find:

The standard form of the given equation.

Solution:

We have,

[tex]y=-1(x-4.5)^2+15.25[/tex]

It is a quadratic equation.

The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.

[tex]y=-(x-4.5)^2+15.25[/tex]

[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex]         [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=-[x^2-9x+20.25]+15.25[/tex]

[tex]y=-x^2+9x-20.25+15.25[/tex]

[tex]y=-x^2+9x-5[/tex]

Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].

The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.

-(-7+6x) = -1×(-7) + (-1)×6x
          = 7 - 6x

Substituting this result into the original expression gives:

10x -(-7+6x) = 10x + 7 - 6x

Now we can combine like terms by adding the x terms and the constant terms separately:

= (10x - 6x) + 7

= 4x - 7

Therefore, 10x -(-7+6x) simplifies to 4x - 7.

Learn more about simplification here:

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Answer:

Step-by-step explanation:

use the formula

tanФ⁻¹ = y/x

where y = 3

           x = 9

plugin values into the formula:

tanФ⁻¹ = y/x

           = 3/9

tanФ⁻¹ = 0.3

     Ф = inv. tan 0.3

     Ф = 18.4°

therefore, the angle D = 18.4°

*tuff scrolls

*looks at other hard things

Answer:

f^-1(4) = 2

f^-1(-5) = -4

f^-1(0) = 0

Step-by-step explanation:

To find the inverse of the function, we simply switch the places of x and y

You simply find the value given on the y-axis and trace to the x-axis

Thus, we have the following ;

f^-1(4) = 2

f^-1(-5) = -4

f^-1(0) = 0

Answer:

2

-4

0

Step-by-step explanation:

Answer:

What was the origainal price?

Step-by-step explanation:

Answer:

its 4/24 :)))))))))))))))))

Answer:

-18 + 3k

3k - 6

24k - 48

Step-by-step explanation:

thats just to name a few of the infinite possibilites

Answer:

x = 20°

Step-by-step explanation:

Lines and Angles

Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.

Thus, we have:

45 + 6x - 5 + x = 180

Simplifying:

40 + 7x = 180

Subtracting 40:

7x = 180 - 40

7x = 140

Dividing by 7:

x = 140/7 = 20

x = 20°

Answer:

The answer to your question is 2

Answer:

32

Step-by-step explanation:

divide 352 by 11

The required rate for Nevaeh's car uses 32 miles per gallon of gas.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.

Here total distance traveled by car = 352 miles

And the number of used gallons = 11

the car uses gas = 352 miles / 11 gallons

the car uses gas = 32 miles per gallon

Therefore, the required rate for his car uses 32 miles per gallon of gas.

Learn more about the Ratio here:

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Answer:

A,B,E

Step-by-step explanation:

I checked on the usa test prep and its what those three

The options satisfying expressions that result to zero are,

A. - 52 + 52.

E. - 83 - ( - 83).

A number's additive inverse is a number that is added to it until the result is zero.

A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.

A number added to it's additive inverse results to zero.

From the given options the only options that satisfies the result to be zero

are,

- 52 + 52.

- 83 - (- 83).

= - 83 + 83.

As the negative signs distribute to make it a positive number.

learn more about additive and multiplicative inverses here :

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Step-by-step explanation:

1; x <-2 (this one has the line under the sign)

2;x>2

3;x-2<0

4;2<x ( this one has the line under the sign)

5; -2<x

The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.

A line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.

Using a factor of 2;

New coordinate = 2(2, 1)

New coordinate = (4, 2)

From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.

Learn more on graph of a line here: https://brainly.com/question/24894997

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Answer:

square root 8

Step-by-step explanation:

trust bro

Answer:

no solution with given parts of equation

Step-by-step explanation:

4(x-1)+3-2/2=n

4(x+1)+3-1=n

4(x+1)+2=n

4x+4+2=n

4x+6=n

Alternatively:

Slope = 4

x-intercept = -1.5

n-intercept = 6

Answer:

If you're looking for a simplified answer it would be: 4x-2

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer:

20%, 40%, 60%, 80%

Step-by-step explanation:

Answer:

The answer is C. 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

question please

Answer:

she will need to buy 360 candy canes :>

merry christmas! and brainliest pls i needit and i hate to beg

Step-by-step explanation:

Answer: The answer is 360

Step-by-step explanation: 15 x 24 = 360

Answer:

b

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept