If the two angles below are supplementary find the value of x

I didn't understand your question ..

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

Answer:

d

Step-by-step explanation:

The distance between car B's original point and the point where car A and car  B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.

We assume the speed of car B to be x miles/hour.

Given car A going at twice the speed of car B, the speed of car A = 2x miles/hour.

When moving toward each other, the relative speed of the cars is the sum of their speeds.

Therefore, the relative speed = x + 2x miles/hour = 3x miles/hour.

The total distance between the cars is given as 60 miles.

Therefore, the time taken by car A and car B to reach the same point = 60/3x hours = 20/x hours.

Therefore, the distance from car B's original point and the point where car A and car B pass each other = Speed of car B*Time = x*(20/x) miles = 20 miles.

Therefore, the distance between car B's original point and the point where car A and car  B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.

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Answer:

i need the answer

Step-by-step explanation:

Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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Answer:

Hi there!

Your answer is:

A) 8+15m

Step-by-step explanation:

Since we can't do anything within the parentheses, they go away.

8+14m+m

Combine like terms

8+15m

Hope this helps

Answer:

8 +15m

Step-by-step explanation:

Work Shown:

c = number of calories in 236.5 grams of cereal

(110 calories)/(177.4 grams) = (c calories)/(236.5 grams)

110/177.4 = c/236.5

110*236.5 = 177.4*c

177.4c = 26015

c = 26015/177.4

c = 146.646 approximately

c = 146.6

There are roughly 146.6 calories in 236.5 grams of cereal.

In 236.5 grams of this cereal, there are 146.63 calories.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, There are 110 calories per 177.4 grams of cereal.

∴ In one gram of cereal of calories are (110/177.4) = 0.62 calories.

So, In 236.5 grams of this cereal, there are (236.5×0.62) = 146.63 calories.

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The diameter of Mikayla's cereal bowl, is 5.7 in

The distance from one point on a circle through the center to another point on the circle. It is also the longest distance across the circle.

Given that, the rim of Mikayla’s cereal bowl has a circumference of 18 inches. we need to determine the diameter of the cereal bowl,

Since, the rim is circular, therefore,

Circumference of circle = π × diameter

Therefore,

π × diameter = 18

Diameter = 18 / 3.14

Diameter = 5.7

Hence, the diameter of Mikayla's cereal bowl, is 5.7 in

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Answer: 9

Step-by-step explanation:

Answer:

- 8°

Step-by-step explanation:

Step 1:

40° + x + 58° + 90° = 180°       Sum of a Δ

Step 2:

188° + x = 180°       Combine Like Terms

Step 3:

x = 180° - 188°     Subtract 188 on both sides

Answer:

x = - 8°

Hope This Helps :)

m11=54°

m8=117°

m7=63°

Step-by-step explanation:

a) m2=m12 (corresponding angles)

m12=126°

180=m12+m11 (supplementary angles equal 180)

180=126+m11

m11=54°

b) m14=m8. (corresponding angles)

m8=117°

C) m7=180-m8 (supplementary angles equal 180)

m7=180-117

m7=63°

Answer:Quotient is 9/y

Sum is 4^3 + 8

Variable is y

Step-by-step explanation:

The probability of rolling a number 10 or less is 1, and the probability of rolling a number greater than 10 is 0.

The 10-sided die has 10 faces, each marked with a unique number from 1 to 10. When we talk about the probability of rolling a particular number, we're asking what the chances are of that number coming up when the die is rolled.

In this case, the question asks for the probability of rolling a number 10 or less, which means we're interested in the probability of rolling any number from 1 to 10. Since all the possible outcomes are numbers from 1 to 10, the probability of rolling a number 10 or less is certain, or 1.

This is because the sum of probabilities of all possible outcomes of an experiment is always 1.

Similarly, the probability of rolling a number greater than 10 is impossible, or 0. This is because there are no possible outcomes greater than 10 on the 10-sided die. In general, the probability of an event that cannot occur is always 0.

So, the probability of rolling a number 10 or less is 1, and the probability of rolling a number greater than 10 is 0.

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If points d and f are on side ab and points e and g are on side ac then line segments de and fg are parallel

What are parallel lines?

Parallel lines are those lines that do not meet at any point. If we draw a triangle ABC and plot points d and f are marked on side ab and points e and g are marked on side ac then the line segment fg is parallel to de because both the line segments are drawn from the points which are on the sides opposite to each other. We have assumed a simple triangle because no description is given for the triangle

Hence the line segment fg is parallel to de if drawn points d and f marked on ab and points e and g are marked on ac.

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Given:

Number of green peas = 475

Number of yellow peas = 193

Let's find the 94% confidence interval to estimate the percentage of yellow peas.

Where:

Total number of peas = 475 + 193 = 668

For the sample proportion, we have:

For a 94% confidence interval, the significance level will be:

1 - 0.94 = 0.06

For the critical value, using the z-table, we have:

Now, to find the 94% confidence interval, apply the formula::

Where:

To find the margin of error E, we have:

Thus, we have:

Hence the confidence interval will be:

Lower limit = 0.2559 ==> 25.59%

Upper limit = 0.3219 ==> 32.19 %

The confidence interval does not contain 0.25, hence we can say that the true results contradicts the expectations.

ANSWER:

The confidence interval does not contain the expectation of 25%, hence, the true results contradicts the expectation.

Answer: 12*(43*B)

Step-by-step explanation:

12*(43*B)

The slope intercept form of the equation for each line is y = -1/3 -x.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here, m is slope and c is constant.

To find the slope intercept form of the equation,

(4, -2) and (-5, 3)

The slope intercept form of the equation is y = -(3/4)x + 3.

Therefore, the slope of the line is;

m = Δy/Δx

m = 5/-9

When we simplify it, then we get the;

3 - y= -5/9(-5-x)

y = -25/9-3 -x

y = -3/9 -x

y = -1/3 -x

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Answer:  C $462.50

Step-by-step explanation:

It's $462.50 because since $6 has a higher profit you would want to try and sell more of that product (The football). So $6 times 45 is 270. And the max number of balls the store can have is 80, 80 minus 45 is 35 so there can only 35 baseballs left. 35 times $5.50 is 192.50. Lastly, you add the two products, and you get 462.50.

The maximum profit the store can make from selling footballs and baseballs in a typical month is $462.50.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's say the store sells x footballs and y baseballs.

The total number of balls sold can be expressed as x + y ≤ 80.

Also, we know that 35 ≤ x ≤ 45 and 40 ≤ y ≤ 55.

To maximize the profit, the store should sell the maximum number of footballs and baseballs that it can stock.

From the constraints, we see that the maximum number of footballs the store can sell is 45 and the maximum number of baseballs it can sell is 55, which together make a total of 100 balls.

However, this exceeds the 80-ball limit, so we need to adjust the numbers.

Let's say the store sells 45 footballs and y baseballs.

Then, y ≤ 35 since 45 + 35 = 80, which is the maximum number of balls the store can stock.

Similarly, let's say the store sells x footballs and 55 baseballs.

Then, x ≤ 25 since 25 + 55 = 80.

To find the maximum profit, we need to calculate the profit from selling 45 footballs and 35 baseballs, which will give the highest profit among the feasible combinations.

The profit from selling 45 footballs is 45 × $6 = $270.

The profit from selling 35 baseballs is 35 × $5.50 = $192.50.

The total profit is $270 + $192.50 = $462.50.

Therefore,

The maximum profit the store can make from selling footballs and baseballs in a typical month is $462.50.

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Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

"The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible".

Here the number of favorable outcomes is 4, and the number of total outcomes is 6.

So the probability of NOT rolling a 1 or 6 is \(\frac{4}{6}\) which is \(\frac{2}{3}\)

Answer: The second histogram a.k.a choice B is correct.

Answer:

h=97

Step-by-step explanation:

38+45=83

180-83=97

Answer:

y=2x+6

Step-by-step explanation:

When x=0,y=6 so not CD

when y=0,x=-3 so not A

Answer: -12.81% decrease

Step-by-step explanation:

1678-1463/1463 * 100 = -12.8128

Answer:

1) x =4/3 = 1  1/3

2) y = 10/3 = 3  1/3

3) y = 8

Step-by-step explanation:

y = x + 2/3

1) 2 = x+ 2/3

x = 2 - 2/3 =-6/3 -2/3

x = 4/3 = 1 1/3

2) 8/3 + 2/3 = y

y = 10/3 = 3 1/3

3) 22/3 +2/3 =y

y = 24/3 = 8

Answer:

y=z+2/3

y=2 => z=2-2/3= 4/3

z=8/3 => y= 8/3+2/3= 10/3

z=22/3 => y=22/3+2/3= 24/3= 8

The value of x is 20 units and the measure of DE is 35 units.

A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.

Given that, DE=x+15, DF=55, and EF=10.

Here, DF=DE+EF

55=x+15+10

55=x+25

x=20

So, DE=x+15=35

Therefore, the value of x is 20 units and the measure of DE is 35 units.

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Answer:

172.5 inches cubed

Step-by-step explanation:

The limit of the function as x approaches 1 is 9/2 (Option A)

lim (x → 1) \([(x^2 + 7x - 8) / (x^2 - 1)]\) =9/2.

To find the limit of the function as x approaches 1, we can simplify the expression algebraically.

First, let's substitute x = 1 into the expression:

lim (x → 1)\([(x^2 + 7x - 8) / (x^2 - 1)]\)

Plugging in x = 1:

\((1^2 + 7(1) - 8) / (1^2 - 1)\)

= (1 + 7 - 8) / (1 - 1)

= 0 / 0

As you correctly mentioned, we obtain an indeterminate form of 0/0. This indicates that further algebraic simplification is required or that we need to use other techniques to determine the limit.

Let's simplify the expression by factoring the numerator and denominator:

lim (x → 1) [(x + 8)(x - 1) / (x + 1)(x - 1)]

Now, we can cancel out the common factor of (x - 1):

lim (x → 1) [(x + 8) / (x + 1)]

Plugging in x = 1:

(1 + 8) / (1 + 1)

= 9 / 2

Therefore, the limit of the function as x approaches 1 is 9/2, which corresponds to option A.

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The complete question is:

In the exercise below, the initial substitution of x=a yields the form 0/0. Look for ways to simplify the function algebraically, or use a table and/or graph to determine the limit. When necessary, state that the limit does not exist  lim (x → 1) \([(x^2 + 7x - 8) / (x^2 - 1)]\) is   -A .9/2 ,B -7/2, C. O, D. limitDoes not exist

Answer:

The point (11, 5) is NOT on the parabola.

Step-by-step explanation:

Let \((x_0,y_0)\) be any point on the parabola

Let \((a, b)\) be the focus

Let \(y=c\) be the the directrix

Distance between \((x_0,y_0)\) and the focus: \(\sqrt{(x_0-a)^2+(y_0-b)^2}\)

Distance between \((x_0,y_0)\) and the directrix is \(|y_0-c|\)

Given:

Therefore:

Distance between \((x_0,y_0)\) and the focus: \(\sqrt{(x_0-6)^2+(y_0-4)^2}\)

Distance between \((x_0,y_0)\) and the directrix is \(|y_0-0|\)

Equate the two expressions and solve for \(y_0\):

     \(\sqrt{(x_0-6)^2+(y_0-4)^2}=|y_0-0|\)

\(\implies (x_0-6)^2+(y_0-4)^}=(y_0-0)^2\)

\(\implies {x_0}^2-12x_0+36+{y_0}^2-8y_0+16={y_0}^2\)

\(\implies {x_0}^2-12x_0-8y_0+52=0\)

\(\implies 8y_0={x_0}^2-12x_0+52\)

\(\implies y_0=\dfrac18{x_0}^2-\dfrac{12}{8}x_0+\dfrac{52}{8}\)

\(\implies y_0=\dfrac18{x_0}^2-\dfrac32x_0+\dfrac{13}{2}\)

Now rewrite with (x, y):

\(\implies y=\dfrac18x^2-\dfrac32x+\dfrac{13}{2}\)

Therefore, this is the equation of the parabola

To determine if the point (11, 5) is on the parabola, input x = 11 into the equation:

\(\implies y=\dfrac18(11)^2-\dfrac32(11)+\dfrac{13}{2}\)

\(\implies y=\dfrac{41}{8}\)

So the point (11, 5) is NOT on the parabola.