Question 1 (10 points)
Berry Ice charges $6.25 a cup and $0.60 for each topping (x) you add. Layla wants a cup with 3 toppings.
Which expression best represents the situation, and how much will the cup cost Layla?

Answer:

1/5 c - 5

Step-by-step explanation:

1/5 c - 5 = (c - 25)/5

Answer:

Step-by-step explanation:

The X is equal to 1/6.

Meaning that the X is 1/6.

Answer:

x = 1/6

Step-by-step explanation:

(x - 3) = 7x - 4

x = 7x -1

-6x = -1

-x = -1/6

x = 1/6

By rearranging the formula using algebraic operations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

To find the value of x, use the same operations on both sides of the equation.

For making x the subject  

Divide by 4 on both sides

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

On both sides of the equation, add 1.

[tex]\frac{y}{4}[/tex] - 1 = x

As a result, by rearranging the equations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

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Answer:

16^6

Step-by-step explanation:

Answer:

97/8

Step-by-step explanation:

first we multiply 11 x 8 to get 88

then we add the numerator (number on top,9) so we add 88+9 to get 97

now we can write our answer

97/8

it cannot be simplified any more than this.

i hope this helped and if you have any questions just ask!

Cost of flakes per ounce is $0.1204 ,

a. If a box cost  $77.05 then approximately 640 pounds of flakes are in box.

b. Cost of 2-pound flakes is $3.8525.

As given,

Cost of flakes = $0.1204/ounce

a.

Cost of a box =$77.05

1 pound =16 ounces

$0.1204 =1 ounce

⇒$77.05 =77.05 /0.1204

              = 639.95

              ≈ 640 ounces

              = 40 pounds

b. Cost of 2 pounds =(77.05 /40)× 2

                               = $3.8525

Therefore, there are

a. Approximately 640 pounds of flakes are in box.

b. Cost of 2-pound potato flakes is $3.8525.

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Answer:

$110

Step-by-step explanation:

quarter is 1/4 of a thing

so $440 ÷ 4 = 110

hence we can conclude that if you get $440 in quarters you will get $110 each time

Hope it helps!!!

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Answer:

2,3,5,6,9 and 10

Step-by-step explanation:

450/2 = 225

450/3 = 150

450/4 = 112.5

450/5 = 90

450/6 = 75

450/8 = 56.25

450/9 = 50

450/10 = 45

To be divisiable, the answer should be an integer.

Thus: 2,3,5,6,9 and 10 are numbers which 450 is divisible by

Answer:

see below

Step-by-step explanation:

2×3×3×5×5 is it's prime factorization which has 2, 3, 4, 5, 6, 9, 10

Answer:

Q1. 5050        Q2. 20100

Step-by-step explanation:

Using the probability concept, the tree diagram and the probabilities are given on the image at the end of the answer.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the first branch, we consider the first counter, which considering the eight counters has these following probabilities.

Then on the second branch, we consider the probabilities for the second counter, which in the case of a blue first counter are given as follows:

The same logic is applied for the other branches given in the picture at the end of the question.

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Answer:

Step-by-step explanation:

7a + 33° = 10a - 12° ( being vertically opposite angle )

33° - 12° = 10a - 7a

21° = 3a

a = 21/3

a = 7°

Now,

6b - 42 = 3b ( vertically opposite angle )

6b - 3b = 42°

3b = 42°

b = 42/3

b = 14

hence , the value of a is 7°and b is 14°...

☘☘☘....

The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.

So, when  we compared the obtained value with the critical value then after that  Reject the null hypothesis if the obtained value is more extreme than the critical value.

and, If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.

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Answer:

a = -34    b = 141    c = 95   d = 74   e = -43    f = -15

Step-by-step explanation:

Subtract the payments from the balance and add the receipts.

Payment means money going out so your balance is decreasing.

Receipts means money coming in, so your balance increases

Answer: you will meet in two hours.

Step-by-step explanation:

[tex]50h=190-45h\\50h+45h=190-45h+45h\\95h=190\\[/tex]

Divide both parts of the equation by 95:

[tex]h=2\ hours[/tex]

Answer:

Animal bread

food dog

animal— dog

food — bread

slope = Y2 - Y1

————

X2 - X1

We need to know how to solve the equations by substituting values for this problem. (a)The number of rabbits on the farm at the end of June is 164 and (b) after a long time the number of rabbits on the farm will become zero.

In the given question we know that the number of rabbits on a farm at the end of month n is [tex]P_{n}[/tex] and that the number of rabbits at the end of the next month is [tex]P_{n+1} =1.2P_{n} -50[/tex]. We know that the number of rabbits at the end of March is 200, so we can have [tex]P_{1}[/tex]=200, we need to find the number of rabbits at the end of June, which will be [tex]P_{4}[/tex], we can form an equation from here

[tex]P_{4} =1.2P_{3} -50[/tex]

Since we don't know what [tex]P_{3}[/tex] is we can replace it by [tex]P_{2}[/tex] and then replace that by [tex]P_{1}[/tex].

[tex]P_{4} =1.2P_{3} -50\\P_{4} =1.2(1.2P_{2} -50)-50\\P_{4} =1.2(1.2(1.2P_{1} -50)-50)-50 = 1.2(1.44P_{1} -60-50)-50=1.728P_{1} -72-60-50=1.728P_{1} -182[/tex]

We know that [tex]P_{1} =200[/tex]

So, [tex]P_{4}[/tex]=1.728x200-182=345.6-182≈164

Therefore the number of rabbits at the end of June is 164 and after a long time the number of rabbits on the farm might become zero since the number of rabbits is decreasing with every month.

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A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best.

"The set point is established over time," Harrison explains. "It's a complicated thing, but it appears to be your body's attempt to regulate itself, which results in a certain weight."

Even if set point theory is correct, it is possible to lose weight and keep it off. Avoiding fad diets and gradually losing weight may change your set point. It may allow your body to adjust to your new eating habits. You may be more successful if you seek the assistance of a therapist or a dietitian.

A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best. It is the weight that our bodies can easily maintain—no micromanaging, counting calories, weighing food, and so on.

The point of weight A has been given in the figure.

The complete question is;

If p = 2/3, point b has a weight of 2, and point C has a weight of 4, find the weight of point A.

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the midpoint of FG given F(2, -6) and G(-8, 10) = (-3,2)

Solution :

The midpoint calculator will take two coordinates in the Cartesian coordinate system and find the point directly in-between both of them. This point is often useful in geometry.

1. Label the coordinates(x₁,y₁) and (x₂,y₂).

2. Input the values into the formula.

3. Add the values in the parentheses and divide each result by 2.

4. The new values form the new coordinates of the midpoint.

f we have coordinates (x₁,y₁) and (x₂,y₂), then the midpoint of these coordinates is determined by (x₁ + x₂)/2, (y₁ + y₂)/2. This forms a new coordinate you can call (x,y).

Given :

F(2, -6) and G(-8, 10)

FG= (-8+2)/2,(-6+10)/2

FG= (-6/2,4/2)

FG=(-3,2)

the midpoint of FG given F(2, -6) and G(-8, 10) = (-3,2)

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Answer:

what is the question?

Step-by-step explanation:

hhdhejrhdeuie

Answer:

Quotient = 0; Remainder = 16

Step-by-step explanation:

The circle is a plane figure whose circumference is given by the formulae [tex]2\pi r[/tex]. Where r is the radius of the circle.

The area of the circle is given by the formulae [tex]\pi r^{2}[/tex] where again r is the radius of the circle and pie is the common factor in both the formulae

We also need to know that the radius of the circle is the half of the diameter of the circle and the diameter is twice the radius

From which we can derive the relation; d=2r where d is the diameter of the circle.

So, the formulae now in terms of diameter becomes [tex]\pi d[/tex] for circumference and [tex]\frac{\pi d^{2} }{4}[/tex] for area of the circle.

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Using the quartiles of the data-set, it is found that there is one high outlier in the data-set.

The dot plot shows the frequency of each observation, hence the complete data-set is given by:

4, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 16, 18, 20.

The quartiles are found as follows:

The IQR is given by:

IQR = Q3 - Q1 = 13 - 9 = 4.

The high outliers are the values that are more than 1.5 IQR above Q3, hence the threshold is given by:

13 + 1.5 x 4 = 19.

There is only value greater than 19, which is of 20, hence there is one high outlier in the data-set.

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Answer:

answer was 0

Step-by-step explanation:

Answer:

∠ A = 42° , ∠ G = 85°

Step-by-step explanation:

the measure of an inscribed angle is half the measure of its intercepted arc.

(3)

∠ A is an inscribed angle , so

∠ A = [tex]\frac{1}{2}[/tex] BC = [tex]\frac{1}{2}[/tex] × 84° = 42°

(4)

∠ G is an inscribed angle but we require arc DF

the sum of the arcs in a circle = 360°

FG + GD + FD = 360°

70° + 120° + FD = 360°

190° + FD = 360° ( subtract 190° from both sides )

FD = 170°

Then

∠ G = [tex]\frac{1}{2}[/tex] DF = [tex]\frac{1}{2}[/tex] × 170° = 85°

Answer:

so there is a 5% change of or ordering a large cold drink

Step-by-step explanation:

first add the total of all drinks

5+48+22+8+12+5=100

the amount of large drinks that are cold are 5

so there is a 5% change of ordering a large cold drink

Answer:

I think it would be 71ft

Step-by-step explanation:

Since the cliff was 85ft and she dove 6 ft underwater, the total distance she traveled was 71ft

Answer:

91 feet

Step-by-step explanation:

Theyre asking for how far he leaped.

The cliff jump above ocean level is 85 ft.

But he went an additional 6 ft underwater.

85+6=91 feet

Answer:

Step-by-step explanation:

                          [tex]\boxed{x^2-y^2=(x+y)(x-y)}[/tex]

[tex]c^2-(d+2)^2=\\(c+(d+2))(c-(d+2))=\\(c+d+2)(c-d-2)[/tex]

The exponential smoothing forecast for next period is 63.2.

A time series forecasting technique called exponential smoothing can be expanded to support data with a systematic trend or seasonal component.

Now,

Given:

To find: Simple exponential smoothing forecast with α = 0.4 for next period.

Finding:

Now, by the concept of exponential smoothing, forecast for next period will be given by:

Ft + 1  = α Dt + (1 - α)F,

where,

Ft+1 = the next forecast,

α = weighing factor,

Dt = actual value for this period,

F = forecast value for the current period,

Substituting the values in the above expression:

=> Ft + 1 = 0.4 (65) + (1 - 0.4) 62

=> Ft + 1 = 26 + 37.2

=> Ft  + 1 = 63.2

Hence the exponential smoothing forecast for next period is 63.2.

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Answer:

roost beef

Step-by-step explanation:

The range of the graph is (-9,-4) also written as -9≤y≤-4

The y-axis on a graph represents the possible output values, or range. The graph's entire range, from lower to higher numbers, represents the range. All of a function's x-values, or inputs, make up the domain. if both the end not closed point range Chart differs

Different range charts. Column range—Columns are used in the Column Range chart to illustrate the range.

Bar range—Bars are used in the Bar Range chart to illustrate the range.

smooth range-Curved lines rather than straight ones connect the data points in a smooth range chart.

From the graph it is shown as it has closed points on both ends so both the values -9 and -4 are inclusive in the range y axis

So it is written as (-9,-4) and also be written as -9≤y≤-4

Hence the range of the graph is -9≤y≤-4.

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