What is the solution to this equation?
5x+15 + 2x = 24 +4x
A. x = 3
B. x=9/11
C. x = 13
D. x =39/11

(D) the floor of a classroom is a perfect example of a line segment.

Therefore, (D) the floor of a classroom is a perfect example of a line segment.

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The correct form of the question is given below;
Which is an example of a line segment?

(A) the edge of a book

(B) the corner of a box

(C) a beam of light

(D) the floor of a classroom

Answer:

x = 4

Step-by-step explanation:

x * 5 = 20 * 1

x = 4

Answer:

\(\boxed{x=4}\)

Step-by-step explanation:

Hey there!

Well to solve for x we need to cross multiply,

x/20 = 1/5

5x = 20

Divide both sides by 5

x = 4

Hope this helps :)

The fraction that lies exactly halfway between 4/5 and 14/15 is 13/15 when expressed in its simplest form. By finding the average of the two fractions, we determine the fraction that represents the midpoint.



To find the fraction that is halfway between 4/5 and 14/15, we need to calculate their average.

The average of two fractions can be found by adding the two fractions and then dividing the sum by 2.

Adding 4/5 and 14/15:

(4/5) + (14/15)

To add these fractions, we need to find a common denominator. In this case, the least common multiple of 5 and 15 is 15.

(4/5) + (14/15) = (12/15) + (14/15) = (26/15)

Now, we divide the sum by 2:

(26/15) ÷ 2 = (26/15) × (1/2) = (26/30)

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 2:

(26/30) ÷ 2/2 = (13/15)

Therefore, the fraction that is halfway between 4/5 and 14/15 is 13/15 in its simplest form.

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Answer:

A and C

Step-by-step explanation:

By  finding the areas of rectangles using the coordinates above, the following does not represent their functions

A) (-4,3), (8,3), (-2,3), (7,7) and C) (9,3), (5,4), (3,3), (-6,3)

Answer:

200.96 (pi)= 631.33

200.96. (3.14)=631.01

Step-by-step explanation:

when you use (pi) the answer is 631.33

but if you use (3.14) the answer is 631.01

that's mean than the answer change

Answer: 2

Step-by-step explanation:

To graph the solution to the inequality -5 + x ≥ -3 on the number line, we first need to isolate x.

Adding 5 to both sides of the inequality, we get:

x ≥ 2

This means that any value of x greater than or equal to 2 will satisfy the inequality. To graph this solution on a number line, we draw a closed circle at the point 2 and shade all the points to the right of 2, including the point 2 itself.

The resulting graph looks like this:

     ------•-------------------------------->

           2

The shaded region on the right of 2 represents all the values of x that make the inequality true.

Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

Answer:

Hello!

____________________

Your answer would be (A) O point W.

Step-by-step explanation:  Intersection of the two lines is defined as the point where the two lines cross or meet each other.

It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.

From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.

Hence, option A is correct.

Hope this helped you!

Answer: point w hope this helped

Step-by-step explanation:

The second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.

Let's denote the height at which the second ladder touches the wall as h. We can set up a proportion based on the similar right triangles formed by the ladders and the building:

(6 6 feet) / (h) = (9 9 feet) / (5 5 feet 9 9 inches + h)

To solve for h, we can cross-multiply and solve the resulting equation:

(6 6 feet) * (5 5 feet 9 9 inches + h) = (9 9 feet) * (h)

Converting the measurements to inches:

(66 inches) * (66 inches + h) = (99 inches) * (h)

Expanding and rearranging the equation:

4356 + 66h = 99h

33h = 4356

Solving for h:

h = 4356 / 33 = 132 inches

Converting back to feet and inches:

h ≈ 11 feet

Therefore, the second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.

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Answer:

1998= 30,000 students

Step-by-step explanation:

Giving the following information:

In 1999, the student enrolment at a college was 13% more than it was in 1998. If the enrolment was 36,612 in 2000, which was 8% more than 1999, find the enrolment in 1998

First, we need to determine the enrolment in 1999:

1999= 36,612/1.08

1999= 33,900

Now, we can find the enrolment in 1998:

1998= 33,900/1.13

1998= 30,000

The Lakers made 31 two-pointers and 6 three-pointers.

Explanation:

Let " x " be the number of two-point shots made and let "y"  be the number of three-point shots made.

The Lakers scored a total of 80 points:

2 x + 3 y = 80

The Lakers made a total of 37 baskets:

x + y =37

These two equations can be solved:

(1)    2 x + 3 y = 80

(2)   x + y = 37

Equation (2) gives:

(3)   x = 37 − y

Substituting (3) into (1) gives:

2 ( 37 − y ) + 3 y = 80

74 − 2 y + 3 y = 80

y = 6

Now let's just use the simpler equation (2) to get  x :

x + y =37

x + 6 = 37

x = 31

Hence, the Lakers made 31 two-pointers and 6 three-pointers.

Answer:

Step-by-step explanation:

There isn’t a picture its all black

Try to fix that lol

The solutions to the equation 3 tan 0 - 4 tan 0 = 0 on the interval -90° < 0 < 90° are 0°, -45°, and 135°.

First, we can simplify the equation by factoring out a common factor of tan 0:

3 tan 0 - 4 tan 0 = 0

tan 0 (3 - 4) = 0

tan 0 (-1) = 0

This equation is only true when either tan 0 equals 0 or -1. Therefore, we need to solve for the values of 0 that satisfy these conditions on the given interval.

When tan 0 = 0, this occurs at 0°, 180°, and any integer multiple of 180° on the interval.

When tan 0 = -1, this occurs at -45° and 135° on the interval.

Therefore, the solutions to the equation 3 tan 0 - 4 tan 0 = 0 on the interval -90° < 0 < 90° are 0°, -45°, and 135°.

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C = 7n

fill in the missing numbers and you get

84 = 7n

which means you can divide 84 by 7 to get n

84/7 = n

n = 12

12

Answer: 12 pies

Step-by-step explanation:

C=7n

C=7(12)

C=84

Customer bought 12 pies

Answer:

x=20

Step-by-step explanation:

By the Triangle Sum Theorem, the angles of a triangle add up to 180. So we can set up the equation like this:

2x-10+70+4x=180

Combine Like terms

6x+60=180

Subtract 60 from both sides

6x=120

Divide by 6 to isolate the variable

x=20

Answer:x= 20

Step-by-step explanation:

As the equation of three angles of a triangle is 180°,

Then, 2x-10+70+4x=180

6x=120

So,x= 20

Answer:

ccccccccccccccccccccc

Answer:

y=2x+4

Step-by-step explanation:

If you look at the table y goes up by 2 every time x goes up by 1 and when x is 0 y is 4 so its y=2x+4

Answer:

Listed below

Step-by-step explanation:

To solve for the number of dimes, we can use this equation:

2 × x = dimes

To solve for the number of nickels, we can use this equation:

(2 × x) + 4 = nickels

To solve for the number of pennies, we can use this equation:

3 × x = pennies

Therefore, the expressions you can use are 2 × x = dimes, (2 × x) + 4 = nickels, and 3 × x = pennies

Answer:

\(-\frac{1}{4}\) or -0.25, \(-\frac{1}{5}\) or -0.2, \(\frac{1}{8}\) or 0.125, \(\frac{3}{5}\) or 0.6, \(\frac{3\\}{4}\) or 0.75

Step-by-step explanation:

Rational numbers are any real numbers that can be written in a fraction form. So any fractional number between -0.3333 and 1.2 works.

The probabilities are as follows;

a. P(X < 45) = 0.67

b. The probability of the time at most 44 buses take to drive the length of its route, P(X ≤ 44) = 0.67

c. The mean time the bus takes to drive the length of its route is 43.62 minutes

d. The standard deviation is 1.546

The probabilities are determined as follows;

a. P(X < 45):

P(X < 45) = P(X = 42) + P(X = 43) + P(X = 44)

P(X < 45) = 0.10 + 0.23 + 0.34

P(X < 45) = 0.67

b. The probability of the time at most 44 buses take to drive the length of its route is P(X ≤ 44).

P(X ≤ 44) = P(X = 42) + P(X = 43) + P(X = 44)

P(X ≤ 44) = 0.10 + 0.23 + 0.34

P(X ≤ 44) = 0.67

c. The mean time the bus takes to drive the length of its route will be:

mean = (42)(0.10) + (43)(0.23) + (44)(0.34) + (45)(0.25) + (46)(0.05) + (47)(0.02)

mean = 4.2 + 9.89 + 15.04 + 11.25 + 2.3 + 0.94

mean = 43.62

d. The standard deviation is determined as follows:

where

E(X²) = (42²)(0.10) + (43²)(0.23) + (44²)(0.34) + (45²)(0.25) + (46²)(0.05) + (47²)(0.02)

E(X²) = 176.4 + 445.87 + 985.76 + 1265.625 + 529 + 131.72

E(X²) = 3533.405

Therefore,

variance = 3533.405 - (43.62)²

variance = 2.390244

The standard deviation will be:

standard deviation = √(2.390244)

standard deviation = 1.546

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The percent increase in the cost of the uniform from last year to this year is 25%.

To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.

The difference between this year's price and last year's price is:

$65 - $52 = $13

The original price (last year's price) is $52.

So the percent increase in the cost of the uniform is:

percent increase = (difference / original price) x 100

percent increase = ($13 / $52) x 100

percent increase = 0.25 x 100

percent increase = 25%

Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.

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Answer:

3x + 75° = 90° , x = 5

Step-by-step explanation:

As we can see it is a right angled triangle so

3x + 75° + 90° = 180° ( being sum of angles of triangle)

we can write even

3x + 75° = 90° , x = 5

Answer:

-x+8

Step-by-step explanation:

8-4(x-6)=8-4x+24=-4x+32

(-4x+32)/4=-x+8

Answer:

35 3/4

Step-by-step explanation:

Answer:

\(f'(x) = 3-2\cdot x\)

Step-by-step explanation:

Let be \(f(x) = -x^{2}+3\cdot x\), such that:

\(f'(x) = \frac{f(x+h)-f(x)}{h}\)

Hence,

\(f(x+h) = -(x+h)^{2}+3\cdot (x+h)\)

\(f(x+h) = -(x^{2}+2\cdot x\cdot h + h^{2})+3\cdot x + 3\cdot h\)

\(f(x+h) = -x^{2}+(3-2\cdot x) \cdot h - h^{2}+3\cdot x\)

\(f(x) = -x^{2}+3\cdot x\)

Then,

\(f'(x) = \frac{-x^{2}+(3-2\cdot x)\cdot h-h^{2}+3\cdot x+x^{2}-3\cdot x}{h}\)

\(f'(x) = \frac{(3-2\cdot x)\cdot h-h^{2}}{h}\)

\(f'(x) = 3-2\cdot x -h\)

If \(h \longrightarrow 0\), then:

\(f'(x) = 3-2\cdot x\)

Answer:

Step-by-step explanation:

Slope= -3/7

Y x intercept = -1/7

Answer:

the slope is -3/7

y int is -1/7

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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Answer:

yep that's correct

Answer:

x = 14

Step-by-step explanation:

\(8^{x-4}\) = 8^10

\(8^{14 - 4}\) = 8^10

8^10 = 8^10

The statement holds true for n = k + 1, and by induction it must be true for all n ≥ 1.This statement can be expressed mathematically as follows: ∑n = n(n+1)/2, for all n ≥ 1.

The statement that is stronger than what needs to be proven is that for all integers n ≥ 1, the sum of the first n natural numbers is equal to n(n+1)/2. This can be expressed in a form suitable for application of the principle of mathematical induction as follows: For n = 1, the statement holds true since 1 = 1(1+1)/2. Assume the statement is true for n = k, i.e.1 + 2 + 3 + ... + k = k(k+1)/2Now, consider n = k + 1.We have 1 + 2 + 3 + ... + k + (k + 1) = k(k+1)/2 + (k + 1) = (k + 1)(k + 2)/2Therefore, the statement holds true for n = k + 1, and by induction it must be true for all n ≥ 1.This statement can be expressed mathematically as follows: ∑n = n(n+1)/2, for all n ≥ 1.

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