1. In a comparison taste test of two juice drinks, 780 people preferred

Cranberry Blast. Only 220 people preferred Melon Splash. Complete

each statement.

a. There were more people who preferred Cranberry Blast.

b. In the taste test, () of the people preferred Cranberry Blast.

c. People who preferred Cranberry Blast outnumbered those who

preferred Melon Splash by a ratio of () to ().


Students at a middle school are asked to record how they spend their

time from midnight on Friday to midnight on Sunday. Carlos records

his data on his phone. Use his phone sereen for Exercises 4-7.


Decide whether each statement is an accurate description of how

Carlos spent his time that weekend. Explain your reasoning. Please refer to the smartphone image. ()

————

Carlos spent one-sixth of his time watching television. ()

————

The ratio of hours spent watching television to hours spent doing

chores or homework was 3 to 1. ()

————

Sports, Internet, and watching television took about 33% of

his time. ()

————

Time spent doing homework was only 20% of the time spent

watching television. ()

————

Sleeping, eating, and "other" activities took up 12 hours more

than all other activities combined. ()

————

A class at Middlebury Middle School collected data on the types of

movies students prefer. Complete each statement using the table.

Types of Movies Preferred by Middlebury Students

Action- 75,90

Comedy-105,150

Total-180,240


The ratio of seventh-graders who prefer comedies to

eighth-graders who prefer comedies is () to ().


b. The fraction of total students (both seventh-and eighth-graders)

who prefer action movies is ().

C. The fraction of seventh-graders who prefer action movies is ()


The sketches betow show two members of the Grump family. The

Crumps are geometrically similar. Use the figures in exercises 33- 36.

Grump A- 0.8 in.

Grump B-1.2 in.

33. Write statements comparing the lengths of corresponding segments

in the Grumps. Use each concept at least once.

a. ratio

b. fraction

c. scale factor



Suppose a news story reports "A survey found that

of all Americans watched the Super Bowl on television." Bishnu thinks this means the survey reached seven people and four of them watched the Super Bowl on television. Do you agree with him? If not, what does the
Statement mean? ()

Answer:

Category A      3 1 8

Category B      3 2 1

Step-by-step explanation:

The relative frequency of the columns are:

                             Group 1                 Group 2                Group 3

Category 1                4/11                         1/4                         11/19

Category 2                7/11                         3/4                        8/19.

What is the frequency?

The number of times a specific value appears in the data is its frequency (f). A variable's distribution is its frequency pattern, or the collection of all conceivable values and the frequencies corresponding to those values. Frequency tables or charts are used to represent frequency distributions.

Given table is

                            Group 1                 Group 2                Group 3

Category 1                4                           3                             11

Category 2                7                          9                             8

The frequency of group 1 is (4+7) = 11

The frequency of group 2 is (3+9) = 12

The frequency of group 3 is (11+8) = 19.

The relative frequency is the ratio between the number of times an outcome value appears in the set of all outcomes and the total number of outcomes.

                             Group 1                 Group 2                       Group 3

Category 1                4/11                    3/12 = 1/4                          11/19

Category 2                7/11                     9/12 = 3/4                        8/19.

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Answer:

B. y = 5x

Step-by-step explanation:

there are 2 coordinates (0,0) and (3,15)

slope m = (y2-y1)/(x2-x1)

m = (15 - 0)/(3 - 0) = 15/3 = 5

Using y = 0, x = 0, m - 5

y = mx + b

0 = 5(0) + b

b = 0

=> y = 5x

Answer:

8x+4.79=60.39

Step-by-step explanation:

If you want this solved,

60.39-4.79 = 55.6

55.6/8 =6.95

One bag of onions = $6.95

(just for extra because I'm tired)

Answer: (b>4)÷3

Step-by-step explanation:

A is 3 times as smaller as b which is (b>4)

Answer: I would say B is correct

Step-by-step explanation:

Answer: D

Step-by-step explanation:

x = video games

y = cellphone

Equation: (1) 4x + 2y = 20.92

                (2) 4x + 3y = 23.44

               _________________

                              y = 2.52

4x + 2y = 20.92

4x + 2(2.52) = 20.92

4x = 20.92 - [ 2(2.52) ]

4x = 15.88

x = 3.97

Amount collected for each video game is option D. $3.97.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Let x be the amount got for selling one video game and y be the amount got for selling cellphones.

You collect $20.92 for selling 4 video games and 2 cellphones on a website.

4x + 2y = 20.92

4x = 20.92 - 2y

Your friend collects $23.44 for selling 4 video games and 3 cellphones on the website.

4x + 3y = 23.44

4x = 23.44 - 3y

Equating both the equations,

20.92 - 2y = 23.44 - 3y

Simplifying,

y = 2.52

Substituting y = 2.52 in 4x + 2y = 20.92,

4x = 15.88

x = 3.97

Hence the amount for selling one video game is $3.97.

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Answer:

look below!

Step-by-step explanation:

since the absolute value is just the number in positive form, the absolute value for the numbers are

-7: 7               1:1           So, the distance between the numbers is 12; 7+5=12.

-6: 6              2:2

-5: 5              3:3

-4: 4              4:4

-3: 3              5:5

-2: 2

-1: 1

Answer 64

Step-by-step explanation: if x is 8 you do 8 x 9 which is 72. Then you do 2 x 4 which is 8. So now you have 72 - 8 which is 64.

Answer:

The total number of students in the student body is 110. The part is 88 students, the whole is 110 students, and the percent is 80%.

Step-by-step explanation:

Answer: It is not possible to determine whether Josh is correct without more information. In order to determine whether they bought the same amount of cheese, it would be necessary to know the weight of the cheeses that Charlie and Josh bought. If the weight of the cheeses that Josh bought is equal to the weight of the cheeses that Charlie bought, then Josh is correct and they did buy the same amount of cheese. However, if the weight of the cheeses that Josh bought is not equal to the weight of the cheeses that Charlie bought, then Josh is incorrect, and they did not buy the same amount of cheese.

Step-by-step explanation: It's hard to say because you would need the weight of the cheese.

Answer:

4(x-1)+9=17

Step-by-step explanation:

3(-2x+1) + 5 = 3x-4-5x

expand

-6x + 3 + 5 = 3x-4-5x

-6x + 8 = -2x - 4

add 2x to both sides to put all x values + coefficients on one side

-4x + 8 = -4

subtract 8 from both sides to isolate x and its coefficient

-4x = -12

divide both sides by -4 to isolate x

x = 3

plug x=3 into each option to see if it works

1. 5(3+3)-4 = 30-4 = 26 != 10

2. 2(3+1) = 8 != 4

3. 4(3-1)+9 = 17 = 17

4. 4(3)+7 = 19 != 3+8 = 11

Answer:So let's start by guesstimating the slopes:

the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.

Next let's look at the solution: the two lines intersect at the point (1, -1).

**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)

A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2

B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense

C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations

D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1

So the correct answer is:

C) y = 2x - 3 and y = −2x + 1

Step-by-step explanation:

Answer: The volume of box is 6×8×10 cm^3

All of 6,8 and 10 are divisible by 2 so your cubes will fill the box, the volume of the cube is 2×2×2=8 cm^3 divide the volume of the box by 8; number of cubes fitting in the box is 6×10=60

Step-by-step explanation:All of 6,8 and 10 are divisible by 2 so your cubes will fill the box, the volume of the cube is 2×2×2=8 cm^3 divide the volume of the box by 8; number of cubes fitting in the box is 6×10=60

Answer:

50 cubes

Step-by-step explanation:

The maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm is 50 cubes.

You can find this by dividing the total volume of the box (10 x 8 x 5 = 400 cm^3) by the volume of a single cube (2 x 2 x 2 = 8 cm^3). So 400cm^3 / 8cm^3 = 50 cubes.

Hence, The maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm is 50 cubes.

Answer:

The sale price of the flannel shirt is $63.

Answer:

Step-by-step explanation:

7

Answer: proportional

Step-by-step explanation:

if you divide 10 by 2 you get 5.

since 4 times 5 is 20 and 7 times 5 is 35

the table is proportional since there is a set rate of change

Answer: D

Step-by-step explanation:

Answer: Carter will have to ride 3.9 miles on his bicycle every day in order to achieve his goal.

Step-by-step explanation:

Finding the answer to this problem isn't too complicated, and all we have to do is make and solve an equation. First, we know how many miles Carter wants to ride his bicycle (this is what our equation will be equal to), and how many miles he's completed already (we add that to how many he has to do daily). We also know how many days he has left to complete this goal (multiply the number he has to do daily by three).

All we have to do now is construct a basic equation:

17 + 3x = 28.7

Let's move the 17 over to the other side of the equation. To do that, subtract 17 from both sides.

3x = 28.7 - 17

3x = 11.7

This gives us the amount of miles Carter still has to ride - in total. To find out how many miles he has to ride daily, we just divide 3 from both sides.

3x/3 = 11.7/3

x = 3.9 (miles - don't forget the units!)

Carter will have to ride 3.9 miles on his bicycle every day in order to achieve his goal. Hope this helps!

Answer: B, 13/15

Step-by-step explanation: If you multiply both to 15, you will get 1 10/15 and 12/15 if you then subtract the two of them you will be left with

13/15.

Orleans might have got the answer from subtracting wrong or adding them together.

Hope this helps! :)

Orleans must have chosen C as the correct answer, which is 13/15 hours. This means that Kado spent 13/15 hours longer painting the fence than walking his dog.

To find out how much longer Kado spent painting than walking his dog, we need to calculate the difference between the time he spent painting and the time he spent walking his dog.

Kado spent 1 2/3 hours painting the fence.

He spent 4/5 of an hour walking his dog.

To make the calculation easier, let's convert 1 2/3 hours into an improper fraction:

1 2/3 = (3*1 + 2)/3 = 5/3 hours

Now, the time difference is:

Time spent painting - Time spent walking

= (5/3) - (4/5)

To subtract fractions, we need to find a common denominator, which in this case is 15 (the least common multiple of 3 and 5):

= (5/3)(5/5) - (4/5)(3/3)

= 25/15 - 12/15

Now, we can subtract the fractions:

= (25 - 12)/15

= 13/15 hours

Orleans must have chosen C as the correct answer, which is 13/15 hours. This means that Kado spent 13/15 hours longer painting the fence than walking his dog.

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Answer:

z = 1 - i

z = 1+i

z = -1 - i

z = -1 + i

Step-by-step explanation:

I think?

Answer:

Step-by-step explanation:

0.1315 with a bar over all numbers means that the pattern of digits under the bar repeats without end. So the number is 0.1315131513151315131513151315....... etc

There is a formula to kind of simply this but I do not think that is what you are asking for.

Answer:

[tex]\overline{0.1315}=\frac{1315}{9999}[/tex]

Step-by-step explanation:

The trick is that because there are 4 digits being repeated infinitely, then this is equivalent to 1315/9999 because of the four 9s.

Answer:

38.88

Step-by-step explanation:

You first calculate the area of the entire skillet which is:

8 × 8 = 64

Then subtract the 64 by the area of both veggies burgers:

64 - 25.12 = 38.88

Answer:

we 10 points because you are vb and your classmate have 50 point because their bright

Answer:

I think it's A.

Step-by-step explanation:

Spheres have no faces, sides, or verticles. this saying/fact is from a website https://flexbooks.ck12.org/cbook/ck-12-middle-school-math-concepts-grade-7/section/10.1/primary/lesson/classification-of-solid-figures-msm7/#:~:text=A%20sphere%20is%20a%20solid%20figure%20that%20has,has%20one%20face%2C%20but%20no%20edges%20or%20vertices.

Answer:

B

Step-by-step explanation:

5/9

Answer:

0.555555........

Step-by-step explanation:

5 divided by 9 is 0.555555.......