Michael bought 4 types of fruit to make a fruit salad. He paid $3.00 per pound of apples, $2.00 per pound for bananas, $2.50 per pound for grapes, and $3.50 per pound for blackberries.
He bought the same number of pounds of each fruit. Let the number of pounds be represented by the variable x.
Michael figured out the total amount of money that he spent on fruit can be shown using the expression 3x+2x+2.50x+3.50x
Which expression shows how Michael’s expression can be written in an equivalent single term?
A. (2+2.50)(3+3.50)x
B. (2+3+2.50+3.50)x
C. (2) (3) (2.50) (3.50)x
D. (2) (3)x+(2.50) (3.50)x

Answer:

Yes it is

Step-by-step explanation:

Because

2) x (sqrt 3) times (sqrt 12)

Two is also equivalent to sqrt of 4. The operation may be expressed as,

                                  (sqrt 4) x (sqrt 3) x sqrt (12)

The product is sqrt (144). This gives an answer of 12 and it is rational.

So, the answer is Yes!

Hope this helped! :)

May i have brainliest!

Answer:

Yes it is

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

12 is the answer and 12 is a rational number

Radicand = The number under the inclusion bar of the radical sign.

Product = The result of two numbers being multiplied together.

Factor = One of two or more expressions that are multiplied together to get a product.

Answer:

The numerator must be greater than 16

Step-by-step explanation:

We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;

x/y > 2

We are further told that the denominator is 8.

Thus;

x/8 > 2

Multiply both sides by 8 to give;

x > 16

Thus,the numerator must be greater than 16.

Answer:

A.true)

Step-by-step explanation:

Hope this helps!

Answer:

d = 256 ft.

Step-by-step explanation:

The distance an object falls is directly proportional to the square of the time it falls.

First, we name the variables.

Let d= the distance.

t= time

Write the formula for direct variation, where y varies directly with the square of x.

y=kx2

We will use d in place of y and t in place of x.

d=kt2

Substitute the given values for the variables.

d=144whent=3144=k⋅32

Solve for the constant of variation.

144916=k⋅99=k

Write the equation that relates d and t.

d=kt2

Substitute in the constant of variation.

d=16t2

Find d when t=4.

Write the equation that relates d and t.

d=16t2

Substitute the given value for t.

d=16⋅42

Simplify.

d=256

An object will fall 256 feet in 4 seconds.

The required distance fall by fall in 4 seconds is 192 feet.

Given that,
The distance an object falls is directly proportional to the square of the time it falls. A ball falls 144 feet in 3 seconds, how far will an object fall in 4 seconds is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,
The rate of fall of the ball = 144 / 3
                                      = 48 feet second
Now distance fall by the ball in 4 seconds = 48 * 4 = 192 feets.

Thus, the required distance fall by fall in 4 seconds is 192 feet.

Learn more about arithmetic here:

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Answer:

12 Notebooks And 16 Erasers

Step-by-step explanation:

Let x represent the number of notebooks and y represent the number of erasers. (x+y=28) Then, input the cent numbers into the equation. (90x+45y=1800) The 1800 represents the amount of dollars spent. Then simplfy the equation, which gives you 12 notebooks and 16 erasers.

Answer:

The correct answer is B. The rate of 7% compounded quarterly is better.

Step-by-step explanation:

In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:

X = 7000 x (1 + 0.7 / 3) 4x3

X = 9,232.16

Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.

In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:

X = 7000 x (1 + 0.685 / 12) 4x12

X = 9,199.33

Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.

Answer:

36

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

Use distributive property: 11+28 / 7-5

Add: 11+28 ( 39 ) Subtract: 7-5 ( 2 )

Divide: 39/2 ( 19.2 )

Answer:

angle 2

Step-by-step explanation:

they aren't equal.

Angle 3 is not equal to angle 2.

Properties of Parallel Lines Cut by a Transversal

For the parallel lines cut by a transversal, the following properties hold true:

As,

angle 3 = angle 1    (Corresponding angle)

angle  3 = angle 6  ( alternate interior angle)

angle 3= angle 8  (vertically opposite angle)

But there is no relation between angle 3 and angle 2.

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Step-by-step explanation: Write down the whole number amount, for example: 500. Calculate the equation. The result is the decimal equivalent of the percentage. Multiply the decimal equivalent of the percentage by 100; or move the number's decimal point over two places to the right.

Answer:

My best conclusion (simply put) is that you had a higher score than the average class.

Step-by-step explanation:

It obvious that the green dots is above the averages of both bars. It would be safe to think that you scored higher than the average of the entire class in both predictions and parabolas.

Answer:

5

Step-by-step explanation:

Since Riley has already saved 80 dollars and she needs to save 150 dollars.

150-80=70

She earns 14 dollars per week:

70/14=5

I also wrote a equation:

(150-80)/14=x

Hope this was helpful!

sec(2x) - 4 = 0

sec(2x) = 4

1 / cos(2x) = 4

cos(2x) = 1/4

2x = cos⁻¹(1/4) + 2nπ   or   2x = -cos⁻¹(1/4) + 2nπ

(where n is any integer)

x = 1/2 cos⁻¹(1/4) + nπ   or   x = -1/2 cos⁻¹(1/4) + nπ

The first two positive solutions occur for n = 0 in the first family of solutions, and for n = 1 in the second family, so

x = 1/2 cos⁻¹(1/4)   or   x = π - 1/2 cos⁻¹(1/4)

x ≈ 0.659   or   x ≈ 2.483

Answer:

what do you need help with exactly?

Step-by-step explanation:

Answer:

your supposed to ask a question

Step-by-step explanation:

Answer:

=  [tex]-\sqrt{5} i[/tex]

Step-by-step explanation:

First, reorder the terms:

[tex]\sqrt{5} i[/tex]

Then, find the complex conjugate (a pure imaginary number is its opposite):

[tex]-\sqrt{5}i[/tex]

Answer:

5 percent or 5.7349percent

divide 43209 by 45687 and get 1.0573491 subtract one

and get 0.0573491 make into a percentage 5.7percent depending on where you need to round.

Answer:

Step-by-step explanation:

Answer:

[tex](x-3)^{2} + (y-4)^{2} = r^{2} \\\\(1-3)^{2} + (5-4)^{2} = r^{2}\\r^{2} = 5 \\so the equation is \\(x-3)^{2} + (y-4)^{2} = 5[/tex]

Step-by-step explanation:

Answer:

Tthe answer is 43

Step-by-step explanation:

−(−13)−4−(−9)+7−(−10)−(−8)

=13−4−(−9)+7−(−10)−(−8)

=9−(−9)+7−(−10)−(−8)

=18+7−(−10)−(−8)

=25−(−10)−(−8)

=35−(−8)

=43

Answer:

43

Step-by-step explanation:

-(-13)+(-4)-(-9)+(7)-(-10)-(-8) = 43

Answer: h is 5 and k is 2

Step-by-step explanation:

The equation of the transformed of the parent cube root function is

y = ∛(x-4) - 1.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

The given graph represents a transformation of the parent cube root function.

The Parent cube root function is

y = ∛(x -h) - k

where the value of h  and k is equal to 0

h=0, k=0 in parent function

The graph changes direction at (0,0) in parent function.

From the given graph we can see that the graph changes direction at (4,-1) which means the graph is shifted 4 units to the right and 1 unit down

So, the value of h=4  and value of k=1

The equation of the transformed function,

y = ∛(x-4) - 1

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Answer:

A=-4/3

B=1/5

C=-5/4

Step-by-step explanation:

Answer:

Step 2 shows Emily's first mistake.

Step-by-step explanation:

3(2) = 6

But instead of this Emily wrote 3(2) = 9.

Answer:

8 mi

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I just did it on edge and got it right.

Answer:

50 golf balls

Step-by-step explanation:

200/4 is 50. I did that because it says the golf balls are DIVIDED into 4 smaller buckets.

To check the answer you do 50 times four.

Answer:

50 in each small bucket

Answer: segundo

Step-by-step explanation:

Answer:

+265

Step-by-step explanation:

a sum of money placed or kept in a bank account, usually to gain interest.

So basically your saving money instead of losing by, keeping it in the bank safely.

Answer:

equilateral for the first one scalene for the second one scalene for the third one equilateral for the fourth one

Step-by-step explanation:

Answer:

She got 63 chocolates.

Step-by-step explanation: