Answer number 7 please

Prep time is 12 minutes

prep time is 1/4 of the baking time

p = b/4 where p is the prep time and b is the baking time

12 = b/4

Multiply each side by 4

12*4 = b

48 = b

The baking time is 48 minutes

There are 10 people running for the 7 seats in the school's student council. The number of different student council combinations is 120.

To calculate the number of different student council combinations, we can use the concept of combinations, specifically the formula for selecting r objects from a set of n objects without replacement. In this case, we have 10 people running for 7 seats, which means we need to select 7 people from the group of 10.

The formula for combinations is given by:

C(n, r) = n! / (r!(n - r)!)

Plugging in the values, we have:

C(10, 7) = 10! / (7!(10 - 7)!)

= 10! / (7!3!)

Using factorials, we can simplify this calculation:

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

3! = 3 x 2 x 1 = 6

Substituting these values back into the formula:

C(10, 7) = 3,628,800 / (5,040 x 6) = 120

There are 120 different student council combinations possible when 10 people are running for the 7 available seats. This means that out of the 10 candidates, any group of 7 can be chosen to form the student council in a total of 120 different ways.

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The best summarizes for the result is:

O There is a moderate negative correlation between the variables.

A correlation coefficient measures the strength and direction of the relationship between two variables. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.

In this case, the correlation coefficient of -0.524 indicates a moderate negative correlation between the variables. This means that as the value of one variable increases, the value of the other variable decreases, and vice versa. The negative sign indicates that the relationship is negative, and the absolute value of the coefficient (0.524) indicates that the relationship is moderate in strength.

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The quadratic equation that represents the product is \(2n^{2}+3n-152\leq 0\).

We are given in the question that the product of a number and 3 more than twice that number is at most 152.

It is also given that the smaller number is represented by the expression n.

Hence, according to the question, the larger number will be:-

2n+3

The product of the two numbers will be :-

n(2n+3)

It is given that the product of the two numbers is at most 152.

Hence,

n(2n + 3) ≤ 152

Hence, the quadratic inequality comes out to be:-

\(2n^{2}+3n\leq 152\\\)

Taking 152 to the left hand side , we get the quadratic inequality,

\(2n^{2}+3n-152\leq0\)

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Step-by-step explanation:

answer is d and b.

they both lie in same line

Step-by-step explanation:

first, the law of cosine (the rule of Pythagoras generalized for any type of triangle) :

c² = a² + b² - 2ab×cos(C)

c is the side opposite of the angle C, a and b are the other 2 sides.

in our case :

b² = 5² + 8² - 2×5×8×cos(51)

b² = 25 + 64 - 80×cos(51) =

= 89 - 80×cos(51) = 38.65436872...

b = 6.217263764... ≈ 6.22

now we have all 3 sides and need to find the other 2 angles.

law of sine

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides, and A, B, C are the corresponding opposite angles.

5/sin(A) = 6.217263764.../sin(51)

sin(A) = 5×sin(51)/6.217263764... =

= 0.624990342...

A = 38.6814786...° ≈ 38.68°

sin(C) = 8×sin(51)/6.217263764... =

= 0.999984547...

C = 89.6814786...° ≈ 89.68°

The word phrases given can be written in algebraic expressions as:

1. B. 4g

2. B. 6/(x + y).

"Product" means multiplication.

"The product of g and 4" can be written as an algebraic expression as: 4 × g = 4g.

"Quotient" means the result you get by dividing a number by another number.

"Sum" means addition, or what you get by adding two quantities together.

Therefore, "the sum of x and y" is written in algebraic expression as: x + y.

Thus, the quotient of 6 and (x + y) would be written in algebraic expression as: 6/(x + y).

Therefore, the word phrases given can be written in algebraic expressions as:

1. B. 4g

2. B. 6/(x + y).

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The first coordinate of the ordered pair is the x-value, while the second coordinate corresponds to the y-value.

Part a)

Substitute x=a and y=-4 to find an equation for a:

Solve for a:

Therefore, the value of a that makes the ordered pair (a,-4) a solution to the equation 4x-3y=10, is -1/2.

Part b)

Substitute x=3 and y=a+1:

Solve for a:

Therefore, the value of a that makes the ordered pair (3,a+1) a solution to the equation y=-5x+2, is -14.

Answer:

f(0) = 1

f(x) = f(x-1) - 3

Step-by-step explanation:

probably use the style of your teacher

Answer: 10

Step-by-step explanation:

The point 7.4 on the number line is 3/5 of the way from the point -7 to the point 17. This is solved by calculating the distance between -7 and 17, multiplying that by 3/5, and adding the result to -7.

The subject of this question is Mathematics, and it is typically dealt with at the Middle School level. To solve this you need to find the distance between the two points (-7 and 17) on the number line. The distance can be calculated with subtraction, so 17 - (-7) = 24. Now, to find a point that is 3/5 of the way from -7 to 17, you multiply this distance by 3/5, hence 24 * 3/5 = 14.4. Add this to the starting point (-7), results -7 + 14.4 = 7.4. So, point 7.4 on the number line is 3/5 of the way from point -7 to point 17.

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We have the following:

We have that the independent variable would be the distance traveled and the dependent variable the time

now, we calculate the time:

it would take a total of 91.2 seconds

The probability that during a given hour of the day there will be more than 129 calls is approximately 0.5398 or 53.98%.

We can use the standard normal distribution to find the probability that during a given hour of the day, there will be more than 129 calls.

First, we need to calculate the z-score of 129 calls:

z = (129 - 130) / 10 = -0.1

Using a standard normal distribution table or calculator, we can find the probability of getting a z-score less than or equal to -0.1, which is 0.4602.

Since we want the probability of getting more than 129 calls, we can subtract the above probability from 1:

P(X > 129) = 1 - P(X ≤ 129) = 1 - 0.4602 = 0.5398

Therefore, the probability that during a given hour of the day there will be more than 129 calls is approximately 0.5398 or 53.98%.

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Answer:

GK parallel to HJ

F is the midpoint

GF =FJ (bisectors)

Answer:

haha

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Here's the solution,

volume :

=》

\( \dfrac{1}{2} \times 12 \times 5 \times 3\)

=》

\(90 \: \: m {}^{3} \)

surface area :

=》

\((13 \times 3) + (5 \times 3) + (12 \times 3) + (2 \times \dfrac{1}{2} \times 12 \times 5)\)

=》

\(39 + 15 + 36 + 60\)

=》

\(150 \: \: {m}^{2} \)

Answer:

0

Step-by-step explanation:

.21 is closer to 0 than to 1

After rounding to the nearest whole number, we get;

⇒ 0

We have to given that;

A number is,

⇒ 0.21

And, Round 0.21 to the nearest whole number.

Since, We know that;

Whole numbers are defined from 0 to infinity.

Here, Number is, 0.21

Which is written as,

⇒ 0 < 0.21 < 1

Hence, 0.21 is closer to 0.

So, After rounding to the nearest whole number, we get;

⇒ 0

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

y=15x+5.50

Step-by-step explanation:

the y intercept or initial fee is 5.50 as written in the problem and the slope is 15 and a key word for that is each. meaning that y=15x+5.50

consider D for a second. (a + b) × would give you (2×-4) + (× + 2) = 3×-2 which is not a quadratic

The expression that produces a quadratic function is (ab)(x).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

a(x) = 2x - 4 and b(x) = x + 2

A quadratic function is a function that has a degree of 2.

Now,

(ab)(x)

= a(x) b(x)

= (2x - 4) (x + 2)

= 2x² + 4x - 4x - 8

= 2x² - 8

(a/b)(x)

= a(x) / b(x)

= (2x - 4) / (x + 2)

(a - b) (x)

= a(x) - b(x)

= (2x - 4) - (x + 2)

= 2x - 4 - x - 2

= x - 6

(a + b) (x)

= a(x) + b(x)

= (2x - 4) + (x + 2)

= 2x - 4 + x + 2

= 3x - 2

Thus,

(ab)(x) = 2x² - 8 is a quadratic function.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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1st question (the image):

y= -5/4x + 3/2

how to solve:

y=mx+b

b: where the line meets the y axis

3/2 is 1.5 which matches up perfectly with the graph

m: the direction of the slope

If you look where the line matches with a point and you go down -5 and go right 4 it matches up and thats why m = -5/4

2nd question (the text):

C) y = 3/4 x + 1/4

how to solve

draw a graph (up above)

y:mx+b

to find m: rise/run

find the first point (1,1) you have to go 3 points up and 4 points right to get to the next point

(5,4) and thats why m=3/4

b: where the link hits the y axis compare the answers and the graph and find the most resonable one... which is 1/4

Answer:

A. -6 - 15 = - 21

Answer:

C

Step-by-step explanation:

Hope it helps!

Answer:k=5

Step-by-step explanation:

K/2+1/2=3

K/2=3-1/2

K/2=5/2

K=10/2

K=5

Answer:

Eg would be 10.6 because its the same length as EF

Answer:

8.6?

Step-by-step explanation:

if it's a right angle an the exact same thing on the other side, than wouldn't you just add 4.3 + 4.3?

The complete proof of the parallel lines k and l is:

The complete question is added as an attachment

With the given information and the image attached below, we can state that the two lines are parallel

Then go ahead to use the angle theorems and transitive properties to complete the proof

So, the complete proof is:

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Answer:

0.8

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

\(\frac{1}{10}+-\frac{9}{10}=-\frac{8}{10}=-\frac{4}{5}\)

Both (4, 1) and (5, 2) is the solution to the given equation. Therefore, option C is the correct answer.

The given equation is y+1=3(x-4).

A) The given coordinate point is (4, -1).

Substitute (x, y)=(4, -1) in y+1=3(x-4), we get

-1+1=3(4-4)

0=0

So, (4, -1) is the solution to the given equation.

B) The given coordinate point is (5, 2).

Substitute (x, y)=(5, 2) in y+1=3(x-4), we get

2+1=3(5-4)

3=3

So, (5, 2) is the solution to the given equation.

C) Here, both (4, 1) and (5, 2) is the solution to the given equation.

Therefore, option C is the correct answer.

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