which of the following expression is equivalent to 7 y + 21 y(7+21) 7(y+21). 7(y+3. 21y+7

V + F = E + 2

If V=12 and F=8 Find E:

We have to replace the values given of V and F IN THE EXPRESSION:

12 + 8 = E+2

Now, we simply have to solve for E:

12+8 -2 =E

18=E

E=18

Answer:

I do believe the answer for you is B. 2 x 10^14.

Step-by-step explanation:

4 x 10^4

Add four zeros to the original number since the exponent to the 10 is positive.

40,000/ 2 x 10^-10

Since the exponent here is a negative number, make 9 zeros behind the decimal point and the 2 at the end.

40,000/.0000000002
Using a calculator, you will get 2e14 which is equivalent to 2 x 10^14. Hope this helped!

Answer:

The answer is B

Answer:

87.50%

Step-by-step explanation:

You have to find the difference between the two numbers and divide the result by the first number which is 32. Multiply the answer by 100 to get the answer as a percentage!

Answer:32% of 60 = 87.5

Step-by-step explanation:

Patriciana has (20/9) nickels and (80/9) dimes of coins .

There are 5 cents in a nickel and 10 cents in a dime.

Let the number of number of nickels be represented by the letter x, so that the number of dimes Patriciana has will be 4x.

So, 5x cents + 10 × 4x cents = 100 cents

5x cents + 40 cents = 100 cents

45x cents = 100 cents

divide through by the coefficient of x

x = 100cents/45cents

x = 20/9 by simplification,

and the number of dimes is calculated by putting 20/9 for x in 4x.

Hence, the number of dimes is 4(20/9) = 80/9 and that of nickels is 20/9.

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We have a basket and a hat.

The basket has the numbers 1, 2, 3, 4 and 5.

The hat contains the letters A, B, C and D.

We have to calculate the probabiltiy of drawing a number that is greater than 3 from the basket and drawing the letter C from the hat.

We have two events:

- Drawing a number greater than 3 from the basket

- Drawing a C from the hat

They are independent as the probability of each on does not depend on the outcome of the other event.

Then, we can calculate the probability of the two events happening together as the product of its probabilities:

The probability of drawing a number greater than 3 can be described as 2/5, as we have 2 numbers greater than 3 (4 and 5) out of 5 numbers in the basket.

The probability of drawing a letter C can be described as 1/4, as we have one letter C out of 4 letters available.

Then, we can calculate the probability as:

Answer: the probability is 1/10 or 0.1.

The number of guests that can be served is 7

From the question, we have the following parameters that can be used in our computation:

Meat served: 3 lbs meat with little bone

Pounds of meat available: 27 lbs.

The number of guests needed is calculated using the following equation

Number of guests = Pounds of meat available/Meat served

Substitute the known values in the above equation, so, we have the following representation

Number of guests = 27/3

Evaluate the quotient

Number of guests = 9

Hence, 9 guests can be served with the available meat

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Possible question

Perform the following food service calculation.

Meat served: 3 lbs meat with little bone

Pounds of meat available: 27 lbs.

Number of guests that can be served:

Answer:

[tex]\left(x-\dfrac{7}{2}\right)^2+\left(y+\dfrac{7}{2}\right)^2=\dfrac{25}{2}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}[/tex]

Given endpoints of the diameter of the circle:

To find the center of the circle, substitute the given endpoints into the midpoint formula:

[tex]\begin{aligned} \implies \textsf{Midpoint} & =\left(\dfrac{0+7}{2},\dfrac{-4-3}{2}\right)\\& =\left(\dfrac{7}{2},-\dfrac{7}{2}\right)\end{aligned}[/tex]

[tex]\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]

Substitute the found center and one of the given points (0, -4) into the equation and solve for r²:

[tex]\implies \left(0-\dfrac{7}{2}\right)^2+\left(-4-\left(-\dfrac{7}{2}\right)\right)^2=r^2[/tex]

[tex]\implies \left(-\dfrac{7}{2}\right)^2+\left(-\dfrac{1}{2}\right)^2=r^2[/tex]

[tex]\implies \dfrac{49}{4}+\dfrac{1}{4}=r^2[/tex]

[tex]\implies \dfrac{50}{4}=r^2[/tex]

[tex]\implies r^2=\dfrac{25}{2}[/tex]

Therefore, the equation of the circle is:

[tex]\implies \left(x-\dfrac{7}{2}\right)^2+\left(y+\dfrac{7}{2}\right)^2=\dfrac{25}{2}[/tex]

The graph of the circle is attached.

In this problem

we have a vertical parabola open downward

so

the vertex is a maximum

Looking at the graph

The vertex is the point (0,4)

The axis of symmetry is x=0 (y-axis)

The zeros are x=-2 and x=2

The domain is all real numbers -----> interval (-infinity, infinity)

The range is all real numbers less than or equal to 4 ----> interval (-infinity,4]

We have:

Total number of cards in a pack = 52

Total number of aces in a pack = 4

The probability of drawing an ace is:

The probability that both are aces is:

Answer: the probability is 1/221

Answer: 10.8 seconds

Step-by-step explanation:

[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]

If he rides 50 yards then the light will flash 22 times.

Given,

Diameter of wheel =26 inch

Radius of wheel,r=[tex]\frac{26}{2}=13 inch[/tex]

Distance covered by bicycle =50 yards =50*36=1800 inch

First find the perimeter of wheel,

[tex]Perimeter =2\pi r\\\\Perimeter =2*3.14*13\\\\Perimeter =81.64[/tex]

This perimeter represents the distance covered for 1 revolution

Now, to find number of times of revolution,

[tex]\frac{Total\ distance\ covered }{distance\ covered\ for\ 1\ revolution}\\\\=\frac{1800}{81.64}\\\\=22.04[/tex]

So,it will take 22 revolutions to complete the whole distance.

Hence, the light will flash 22 times if he rides 50 yards.

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Data:

m: cost of the masking tape

As the masking cost the same amount of money: 3m

Then, you add to the cost of the masking the 5.50, you get: 3m+5.50

The symbol to less than is <

You get:

Answer:

all the  fractions that are equivalent to 2/5 are 4/10, 6/15, 8/20

Step-by-step explanation:

this is all I can rember

The required value of x will be 44°.

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

We have been given a triangle in the figure

According to the given figure, we can see that the triangle is an isosceles triangle

As per the property of the isosceles triangle, here two angles are the same.

Now, the sum of angles in a triangle as:

⇒ 68° + 68° + x = 180°

⇒ 136° + x = 180°

⇒ x = 180° -  136°

⇒ x = 44°

Therefore, the required value of x will be 44°.

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Answer:0

Step-by-step explanation:anything divided or multiplied by zero is zero for example how many times does 6 go into 0? ....zero!

ANSWER

(10/3 miles) / (1 hour)

EXPLANATION

A unit rate is a rate where the denominator is 1. In this problem, the denominator is the time in hours. If Rebekah walks 10 miles in 3 hours, we have to find how many miles will she walk in 1 hour,

She will run 10/3 miles in 1 hour. Hence the unit rate is (10/3 miles) / (1 hour).

Answer:

90183

Step-by-step explanation:

Answer: its 1 over 0 which equals B^-1

Answer:

Step-by-step explanation:

Since the numbers, we are given are fractions there is this ultimate rule when we divide fractions

the sign changes from division to multiplciation and the second fraction flips

so lets do this

-0.125 = -1/8
-0.5 = -1/2

Now lets put into into an equation

-1/8 * -2 = 1/4

Answer:

C

Step-by-step explanation:

The x intercept is 40, which represents the number of month payments needed to repay the loan.

answer:

c) the x-intercept is 40, which represents the number of monthly payments needed to repay the loan.

step-by-step explanation:

the x-intercept is what x equals when y is zero. you can also determine what the x-intercept represents by understanding what the x-axis represents. hope that helps!

You have that simple interest is computed by the multiplication of p (principal amount), r (interest rate) and t (time).

The previoues sentence can be written algebraically as follow:

I = p x r x t you only have to multiply each factor

where I is the letter for simple interest.

Answer:720

thats the answer 720

The answer is 12.6

Step-by-step explanation:

The ratio is calculated with division.

This means we need to do this equation: 88/7.

The answer to 88/7 is 12.57. However, the question states: Round your answer to one decimal place.

This means we round 12.57 up to 12.6.

Answer: its (C) 12.6

Step-by-step explanation:

basically the first person already explained it

the positives are ( lighting detector activates ) column

the true positive its when the detector activates and there is lightning, so 88%

and false positive its when the detector activates but there's no lightning, so 7%

at the end you just divide 88% / 7%

which is 12.57 and you round it

Answer:

g = X - 2/3

Step-by-step explanation:

X = 3g + 2

Try to make g stand alone and collect the terms.

X - 2 = 3g

Divide both sides by the coefficient of g, which is 3

X - 2/3 = 3g/3

g = X - 2/3

Answer:

$30

Step-by-step explanation:

25% of $40 = $10

$10 is the discount price, i.e., $10 is 25% of $40

selling price - discount

= 40 - 10

= $30

ANSWER

EXPLANATION

We are given the number 65,978.

To put it in scientific notation, we will need to put it in a format such that we have a number between 1 and 10 multiplying a power of ten.

So, to do that, we will move the decimal point from the end of the number (65978.) to just after the first number.

Then the number of times we move it will be the power of 10.

Since we will move it to the left, it will be a positive power.

So, we have that the number becomes:

The power is 4 because we moved the decimal four times.

The coordinate of first stop of bus which is halfway through the route. is (9, -9).

What is coordinate?

Using the horizontal and vertical separations from the two reference axes, a coordinate is a pair of numbers that expresses a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).

We have to find the coordinate of first stop of bus which is halfway through the route.

It means, We have to find the coordinates of the midpoint of line segment which has start point and end point coordinates as A(-10, 10) and B(8, -8).

The formula to get the mid point coordinate of a line segment which start point and end point coordinates as A(x₁, y₁) and B(x₂, y₂) is:

[tex]M(a,b) = (\frac{x_2 -x_1}{2} , \frac{y_2-y_1}{2} )[/tex]

putting the value from question:

[tex]M(a,b) = (\frac{8 -(-10)}{2} , \frac{-8-10}{2} )[/tex]

M(a, b) = (9, -9)

Therefore the coordinate of the midpoint is (9, -9)

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Answer:

Step-by-step explanation:

The probability of an event is represented by the following equation;

Therefore, from a 52-card deck which is better shown with the following image:

There are 4 6's in a 52-card deck and 26 red cards.

*If the events A and B are not mutually exclusive, the probability is:

Then to determine the probability that you dealt a six or a red card:

Frankie worked at the gas station for four months. He earned $4,800.00 and

must pay a total of 12% in income taxes. What is his net pay if there are no

additional deductions?



A. 576.00

B.5,376.00

C.3,600.00

D.4,224.00​

we have that

12%=12/100=0.12

Multiply $4,800.00 by 0.12

$4,800.00*0.12=$576.00

Answer:

10.8 sec

Step-by-step explanation:

Setting [tex]h=10[/tex],

[tex]-16t^2+170t+40=10 \\ \\ 16t^2 -170t-30=0 \\ \\ 8t^2 - 85t-15=0 \\ \\ t=\frac{85 \pm \sqrt{(-85)^2-4(8)(-15)}}{2(8)} \\ \\ t \approx 10.8 (t>0)[/tex]