1/4 of a pizza was broccoli and half was mushroom and 1/4 was three cheeses. George ate 1/3 of the broccoli part and 1/3 of the mushroom part and 1/2 of the 3 cheese part. How much of the total pizza did he eat?

Answer:

9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

AnswerX=9

Step-by-step explanation:

6x-42=39-3x

Answer:

Points B and C are opposite

Step-by-step explanation:

0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.

Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left

Answer:

b and c are opposites

Step-by-step explanation:

other guy was right

Answer:

$1.20 per candy bar

Step-by-step explanation:

7.2 ÷ 6 = 1.2

The two given figures are not similar because they are not the same shape. Option D is correct.

Given that,
A figure of two shapes has been shown, we have to discuss why the two shapes are not similar,

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
The two shapes are not similar because one is square and the other is a rectangle, There is why both are not the same shape, because they are cyclic and regular shapes their corresponding angles are congruent.

Thus, the two given figures are not similar because they are not the same shape. Option D is correct.

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Given:

Admission to the local movie theater is $3 for each child and $7 for each adult.

A group of 12 people pay $64 admission.

To find:

The number of children in a group.

Solution:

Let the number of children be x and number of adults be y.

According to the question,

Total persons : [tex]x+y=12[/tex]          ...(i)

Total cost : [tex]3x+7y=64[/tex]     ...(ii)

Multiply equation (i) by 7 and subtract the result from (ii).

[tex]3x+7y-7(x+y)=64-7(12)[/tex]

[tex]3x+7y-7x-7y=64-84[/tex]

[tex]-4x=-20[/tex]

Divide both sides by -4.

[tex]x=5[/tex]

Therefore, the number of children is 5.

Answer:

26 percent sodium

also can i have brainliest please

Answer:

2 outcomes

Step-by-step explanation

The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.

It is a branch of mathematics that deals with the occurrence of a random event.

The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:

Number of outcomes = number of options for choosing a boy x number of options for choosing a girl

Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.

So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.

Therefore, the total number of outcomes is:

18 x 14 = 252

Hence, the total number of outcomes is 252.

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Answer:

yes

Step-by-step explanation:

The function f(x) = x/4 represents a proportional relationship.

Proportional relationships are relationships between two variables where their ratios are equivalent.  A straight line represents a proportional relationship. Mathematically -

y = mx + b

(y - b)/x = m       [m is constant]

or

y = mx

m = y/x               [m is constant]

Given is the following function -

y = x/4

We have -

f(x) = x/4

Now, we know a straight line represents a proportional relationship. The general form of equation representing the proportional relationship is -

y = mx

where -  [m] is constant

y = x/4

y = (1/4)x

On comparing, we get -

m = 1/4

Hence, the function f(x) = x/4 represents a proportional relationship.

Therefore, the function f(x) = x/4 represents a proportional relationship.

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Answer:

A) similar; SSS similarity

Step-by-step explanation:

You have to find the proportion by dividing each side to the according side

35/14 = 2.5  -  S/D

20/8 = 2.5  -  R/E

30/12 = 2.5  - Q/F

Answer:

A B AND C

Step-by-step explanation:

The answers are

Answer:

x represents the bottom and y represents the top

Step-by-step explanation:

Answer:

grid

Step-by-step explanation:

So they x in the grid it a straight line in the middle ok. Then we have the y which is the one that's up and down in the grid. Also when the numbers are added that are ploted somewhere on the x goes first because x goes first in the alphabet.

Answer:

[tex] \frac{3x}{5} - \frac{1}{10} = \frac{x + 2}{10} - 2 \\ \frac{6x - 1 = x + 2 - 20}{10} \\ 6x - x = - 18 + 1 \\ 5x = - 17 \\ x = - \frac{17}{5} [/tex]

Answer:

x= -17/5 or x=-3.4

Step-by-step explanation:

1. multiply both sides of equation by 10 (6x-1 = x+2-20)

2, calculate the difference (6x -1=x-18)

3. move the terms ( 6x-x-1=-18)

4. collect like terms ( 5x=-18+1)

5. divide both sides (x=-17/5)

Answer:

5/24

Step-by-step explanation:

Step-by-step explanation:

[tex] - \frac{3}{8} + \frac{1}{6} [/tex]

[tex] (- \frac{3}{8} \times \frac{3}{3} ) + ( \frac{1}{6} \times \frac{4}{4} )[/tex]

[tex] - \frac{9}{24} + \frac{4}{24} [/tex]

[tex] - \frac{5}{24} [/tex]

Answer:

negative

Step-by-step explanation:

Positive numbers do not change the polarity of a number in multiplication, only negative numbers.

9514 1404 393

Answer:

  see attachments for a table and graph

Step-by-step explanation:

I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.

__

Your specific question asks for h(0):

  h(0) = -|0 +2| +1 = -2 +1

  h(0) = -1

You may want to check your other table values.

Complete question :

Misaki cut some wood for a bookcase she is building.She needs to find how many 1/3 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem

Answer:

15

Step-by-step explanation:

Total Size of board = 5 feets

Size of board to be made = 1/3 feets

Number of 1/3 feets board to be made from 5 feets board :

Total size of board / size of board to be made

5 feets ÷ 1/3 feets

5 feets * 3 / 1 feets

= 15

Hence, number of 1/3 feets board that can be made from 5 feets board = 15

Answer: 3x + 14

Step-by-step explanation: you have to combine the terms 11 + 3 = 14  5x - 2x = 3x

Answer:

tan 68 degrees = b/60

60 * tan 68 degrees = b

b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths

Step-by-step explanation:

Hope it helps!

Answer:

tan 68 degrees = b/60

60 * tan 68 degrees = b

b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths

  . Step-by-step explanation:

Hope it helps!

Answer:

5:9

Step-by-step explanation:

There are 5 blue shapes out of 9 total shapes.

Answer:

Option (A)

Step-by-step explanation:

From the graph attached,

Right and left ends of the graph are moving downwards.

Ends moving upwards or downwards (In the same side of x-axis) tells the graph to be an even function.

There are two maximum points (points having maximum y-values)represent the two relative extrema of the function.

Therefore, Option (A) will be the correct option.

Answer:

a.  The car sweeps out 0.799 radians per second.

b. f(t) = 8 cos (0.799t)

Step-by-step explanation:

Given that:

The radius r = 8 feet

a.

The time t it takes to complete one full lap = 7.854 seconds

Recall that:

Angular velocity ω = 2π / t

So if in 7.854 seconds, the car sweeps = 2π radian

∴

per second, the car will sweep ω  = 2π/ 7.854

ω = 0.799 rad/sec

Thus, the car sweeps out 0.799 radians per second.

b.

Since, r = 8 feet.

Suppose the car travels an angle θ in time (t),

Then the general equation for the horizontal component is:

f(t) = rcos( ωt)

f(t) = 8 cos (0.799t)

The true statements are:

The given parameters are:

To do this, we simply calculate the angular velocity as follows:

[tex]\omega = \frac{2\pi}{T}[/tex]

Substitute 7.854 for T

[tex]\omega = \frac{2\pi}{7.854}[/tex]

Simplify

[tex]\omega = 0.255 \pi[/tex]

Hence, the car swept out [tex]0.255 \pi[/tex] radians per seconds

To do this, we simply make use of the general equation for the horizontal component as follows:

[tex]f(t) = r\cos( \omega t)[/tex]

Substitute 8 for r

[tex]f(t) = 8\cos( \omega t)[/tex]

Substitute [tex]\omega = 0.255 \pi[/tex]

[tex]f(t) = 8\cos( 0.255\pi t)[/tex]

Hence, the function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]

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Answer:

8 floor tickets and 7 balcony tickets.

Step-by-step explanation:

f+b=15

25f+17.50b=322.50

Answer:

8 floor tickets, 7 balcony tickets

Step-by-step explanation:

F + B = 15

25F + 17.50B = 322.50

Answer:

$4 each

Step-by-step explanation:

Answer:

each ticket cos $4

Step-by-step explanation:

because is you multiply 4 × 6 is 16

and 22-16=6

Answer: it’s D

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

The  sample  

                                                                                          Household Income

                                                                                     < $60,000    > $60,000

I would never purchase a newspaper subscription.          40                63

I might or might not purchase a newspaper subscription. 53                70

I would probably purchase a newspaper subscription.     65                 32

I already purchase a newspaper subscription.                   73                 16

Generally the sample size is mathematically represented as

       [tex]n = 40 + 53 + 65+ 73 + 63 + 70 + 32+ 16[/tex]

=>    [tex]n = 412[/tex]

Generally the number of the sample with an income greater $60,000 is mathematically represented as

        [tex]N = 63 + 70 + 32 + 16[/tex]

=>     [tex]N = 181[/tex]

Generally the number of  families with an income more than $60,000 who might or might not purchase a newspaper subscription is

      [tex]X = 70[/tex]

Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is

           [tex]P(X) = \frac{70}{181} * 100[/tex]

=>        [tex]P(X) = 39\%[/tex]

Answer:

[tex]\displaystyle y-1=\frac{1}{3}(x+3)[/tex]

Step-by-step explanation:

Equation of a Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The table shows the relation between x and y. It contains the following points

(-3,1), (6,4), (12,6), (30,12).

Taking the two first points, we find the equation of the line:

[tex]\displaystyle y-1=\frac{4-1}{6+3}(x+3)[/tex]

[tex]\displaystyle y-1=\frac{3}{9}(x+3)[/tex]

Simplifying:

[tex]\displaystyle y-1=\frac{1}{3}(x+3)[/tex]

To ensure the rest of the points belong to the line, we test them:

For the point (12,6):

[tex]\displaystyle 6-1=\frac{1}{3}(12+3)[/tex]

[tex]\displaystyle 5=\frac{1}{3}(15)[/tex]

5=5

Since equality is true, the point belongs to the line.

For the point (30,12):

[tex]\displaystyle 12-1=\frac{1}{3}(30+3)[/tex]

[tex]\displaystyle 11=\frac{1}{3}(33)[/tex]

11=11

Since equality is true, the point belongs to the line.

Thus, the equation of the line is:

[tex]\mathbf{\displaystyle y-1=\frac{1}{3}(x+3)}[/tex]

A- they are parallel because they have equal slopes.