Detemine which equation has the same solutions as the equation below.
4X² + 32X - 28 = 0


A. (X+4)²=23

B. 4(X+4)²=36

C. (X+8)²=57

D. 4(X+8)²=28

Answer:

x = 18

Step-by-step explanation:

The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.

Combine like terms :

Divide both sides by 5 :

The number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

From the question, we are to determine how many hours Elsa played baseball than volleyball

From the given information,

Elsa played sports for 20 hours

From the circle graph,

She spent 25% of the time on baseball

Time spent on baseball = 25% × 20 hours

Time spent on baseball = (25/100) × 20 hours

Time spent on baseball = 0.25 × 20 hours

Time spent on baseball = 5 hours

For time spent on volleyball

From the circle graph, she spent 10% of the total time on volleyball

Time spent on volleyball = 10% × 20 hours

Time spent on volleyball= (10/100) × 20 hours

Time spent on volleyball= 0.1 × 20 hours

Time spent on volleyball= 2 hours

The number of more hours spent on baseball than volleyball

= 5hours - 2 hours

The number of more hours spent on baseball than volleyball = 3 hours

Hence, the number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

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Using the hypergeometric distribution, it is found that there is a 0.3548 = 35.48% probability that she packs at least one pair of high heels.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability that she packs at least one pair of high heels is given by:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,31,2,6) = \frac{C_{6,0}C_{25,2}}{C_{31,2}} = 0.6452[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.6452 = 0.3548[/tex]

0.3548 = 35.48% probability that she packs at least one pair of high heels.

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Answer:

135.8

Step-by-step explanation: 679miles/5days =135.8miles/days

I hope it help

If they take 5 days to drive 679 miles to Seattle. Then the number of miles that they drive each day will be 135.8 miles per day.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

They take 5 days to drive 679 miles to Seattle.

Then the number of miles that they drive each day will be

→ 679 / 5

→ 135.8 miles per day.

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Answer:

A) 160 B) 220

Step-by-step explanation:

Combine like terms.

3x + 50 = 530.

Subtract 50 from both sides.

3x = 480.

Divide both sides by 3.

x = 160.

Since Ryan earns x + 60, add 60.

160 + 60 = 220.

Answer:

9. Median: 14

10. Mean: 14.1

11. Mode: No Mode

12. New Median: 14.5

13. New Mean: 14.625

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

[tex]y = ax^2 + bx + c[/tex]

The given quadratic equation is [tex]24x^2 + 2x = 15[/tex]

Let's rearrange the equation

[tex]24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0[/tex]

This implies that

The equation or formula of quadratic formula is given as

[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

We can substitute the values into the equation and solve

[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}[/tex]

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

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Answer:

The highest point will be (10, 75)

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

x=-32

Step-by-step explanation:

its the last one

fvwf w ffvfvvrwf wf wfvef wfvfwwfvfwvwfvwfvfwvfwvefvefvef efefvfevfevfvfwvfwvwfvwfvfwvwfvwfvwfv

Answer:

600.00

Step-by-step explanation:

Understanding :

600.00 is the actual price of the electric cooker.

Answer:

1,000,000

Step-by-step explanation:

you just get the Volume of the shape

Answer:

27

Step-by-step explanation:

Let x = ten's digit

Let y = units' digit

Given: the units of a two-digit numeral means

that our final answer will be a 2 digit number (xy)

Given: 5 more than the tens digit  means

y is 5 more than x (y = x + 5)

Given: the number is three times the sum of its digits.

xy is 3 times x + y

A two digit positive integer can be written as 10x + y, where x is the tens digit and y is the ones digit

y = x + 5 and 10x + y = 3(x + y)

x - y = -5

7x - 2y = 0

Multiply the first equation by -2:

-2x + 2y = 10

7x - 2y = 0

Add the equations to get 5x = 10

So, x = 2 and y = x + 5 = 7

Reminder:

Let x = ten's digit

Let y = units' digit

The number is 27

Answer:

Hope the pictures will help you

The age of people entering a super store  is likely to be normally distributed.

The heights of people entering a super store  is likely to be normally distributed.

The number of 8 oz glasses of milk in 1 gallon is not likely to be normally distributed.

The gallons of milk sold at the super store in one week is likely to be normally distributed.

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. When depicted on a graph, a normal distribution is bell-shaped.

People of all ages and heights would enter a superstore. Thus, the distribution is likely to be normal.  The  8 oz glasses of milk in 1 gallon is a constant amount. Thus, the distribution is not likely to be normal.

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Answer:

30%

Step-by-step explanation:

percentage = (discount/total amount)*100

= (8.40/28)*100=30%

87.5

25x7=175

175/2=87.5

The straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

Let's suppose the distance between the Lisa and Penny is x feet.

We can draw a right-angle triangle for this situation.

As we can see in the right angle triangle.

tan54.5 = x/50  (from the right-angle triangle)

x = 50tan54.5

x = 70.09 ≈ 70.1 feet

Thus, the straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.

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Answer: B. ((5-x))/(x^(2)+3x-4)-:((x^(2)-2x-15))/(x^(2)+5x+4)

exclusions: x≠1, x≠-1, x≠-3, x≠-4, x≠5

Step-by-step explanation:

Answer:

Top right

Step-by-step explanation:

x - y = 1

rearrange for y = mx + b

-y = -x +1

y = x - 1

crosses the y axis at (0, -1)

y = -1 when x = 0

x = 1 when y = 0

The graph that satisfies these is the on eon the top right

Answer:

11, 29, 9

Step-by-step explanation:

substitute x = - 2, 4, 0 into h(x)

h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11

h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29

h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9

Answer:

See below ~

Step-by-step explanation:

Answer:

perimeter of pentagon is 5s

area of Pentagon is 1/2 P*a

To solve this expression, we can use the mathematical operations: addition, multiplication and division. So the correct value, will be m = 1/24

This expression is an equation of the first fractional degree. To calculate, let's:

— move the negative - term to the other side of the positive equation, thus adding:

3/4m - 6 = 12

3/4m = 12 + 6

3/4m = 18

— Now, let's calculate without being fractional. We will isolate the variable multiply the terms with each other:

3/4m = 18

3 = 4m . 18

3 = 72m

— Finally, we'll turn this equation into a fraction, like this - simplifying the numerator and denominator by the same real number:

3 = 72m

m = 3/72

m = 3÷3 / 72÷3

m = 1/24

Therefore, the correct value of this expression is m = 1/24

Answer:

Step-by-step explanation: then let's be kinda quaint in the matter. And assume your understanding of word integration in a 5-Manifold?

Just adding both the numericals because they both have same sign that is negative

-6-5

-11 answer

Answer:

-11

Step-by-step explanation:

Change the minus sign to addition

6 + 5

= 11

= -11

it is negative 11 because since the signs are the same in front of the 2 numbers (negative sign) they both add together and keep the negative in front of it

Answer = -11

The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore, the age of the grandson is 7 years.

A grandson's age in months is equal to his grandfather's age in years.

Recall,

12 months = 1 year

Hence,

let

x = age of grandson in month

It is the same age in years for the grandfather.

Therefore,

x = age of grand father in years

The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore,

x - x / 12 = 77

12x - x/12 = 77

11x / 12 = 77

cross multiply

11x = 924

x = 924 / 11

x = 84

Therefore, the grandson age in in years is 84 / 12 = 7 years.

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Both the tangents are equal to each other. Then the length of BC will be 5.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

A tangent to a circle is a line that passes through the centre of the circle precisely once.

As illustrated in the diagram, there are precisely two tangents to a circle that may be drawn from a location just outside of the circle.

Then both the tangents are equal to each other.

The length of BC will be 5.

The diagram is shown below.

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The value of A+B is 16

To solve it, we will: divide the number after the equality, by the total number of variables (letters) that have.

A + B + A + D = 32

32 ÷ 4 = 8

< We know that the value of each variable is 8. So, to find the value of A + B, let's just add their respective values.

A + B

8 + 8 = 16

So, the value of A + B will be 16

No, the second showing would be over at 6:50 because it started 20 minutes late. The time is delayed 20 minutes because it started 20 minutes later.