Solve the equation for y:
5x + y = 2

Answer:

67.5 degrees.

Step-by-step explanation:

Let the measure of two equal angles of the triangles is x.

Thus, the angles of the triangles are x, x and 45 degrees.

Answer:

67.5°

Step-by-step explanation:

Given:

All triangles is 180°

One Triangle measure 45°

2 Other Angles are equal

To Find:

Two Other Angles

Solution:

180°- 45° = 135°

135° ÷ 2 = 67.5°

Therefore the other two angles are 67.5°

Answer:

It is irrational

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

13+3x=31

-13 on both sides

3x=18

x=18/3

x=6

Answer:

328 feet

Step-by-step explanation:

1 month = 28-31 days

3 weeks = 3 * 7 = 21 days

20 days

Answer: A (1 month).

Answer:

1 month because one month =4 weeks

Step-by-step explanation:

We know that

• The principal is $5000.

• The interest rate is 2.75%.

• The compound is quarterly.

• The time is 10 years.

We have to use the compound interest formula

Where P = 5000, r = 0.0275, n = 4, and t = 10. Let's replace these values and solve for A.

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

1.95

Step-by-step explanation:

The figure below is the graph of the dimensions of a rectangle whose adjacent side lengths exhibit inverse variation: True.

An inverse variation can be defined as a type of proportionality which shows the relationship between two (2) variables, wherein, as the value of one variable increases, the value of the other variable decreases.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Based on the graph, we can infer and logically deduce that there is an inverse variation between the height and width of this rectangle because they are inversely proportional.

Height ∝ 1/w

Height = k/width

k = Height × width

At point (1, 4), we have:

k = 4 × 1

k = 4.

At point (2, 2), we have:

k = 2 × 2

k = 4.

At point (8, 0.5), we have:

k = 0.5 × 8

k = 4.

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The p-value is the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution when running a t-test with equal variances in Excel.

When running a t-test with the assumption of equal variances in Excel, the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution is the p-value.

In Excel, the p-value is calculated using the T.TEST function, which returns the probability associated with a Student's t-test. The function requires the input of two sets of data for the two samples being compared. By comparing the calculated t-value to the t-distribution, the function determines the probability (p-value) of observing such extreme differences between the means of the two samples under the null hypothesis.

The p-value represents the probability of obtaining a t-value as extreme as the one observed, assuming the null hypothesis is true (i.e., there is no significant difference between the means of the two samples). If the p-value is smaller than a chosen significance level (e.g., 0.05), it indicates that the observed difference is statistically significant, and we reject the null hypothesis in favor of an alternative hypothesis.

In summary, the p-value is the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution when running a t-test with equal variances in Excel.

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Answer: 6.9

Step-by-step explanation:

Solve for the hypotenuse in the smaller triangle 5.83

Solve for x²= 9² - 5.83² = 81 - 33.99

X² = 47.01

Answer:

32/60 is not a equivalent fraction of 8/12

I hope this helps you.

Since the x-coordinate is the one that changed, this is a horizontal reflection over the y-axis.  

If you put this on a graph, you'll see the two points are opposite each other, with respect to the y-axis.

Answer: B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

its not 6 because its about 2 units. here's a tip: whenever you have a longer side than side X just shift side x into the longer side and see how many units separate it.

The equation that shows how many students are absent is 26+a = 30 and 4students are absent

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Also a linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

There are 30 students in a class and 26 students are present.

Let's represent the number of student absent by a

therefore the sum of the number of student absent and the student present will give the total number of student.

26+a = 30 and

a = 30-26

a = 4

therefore 4 students are absent

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The experiment would be drawing a colored marble from a bag containing five differently colored marbles.

The sample space would be Sample Space = {Red, Blue, Green, Yellow, Purple}.

The experiment involves a bag with five marbles, each of a distinct color - red, blue, green, yellow and purple. Drawing any one of these colored marbles will result in an outcome, which in total produces five possible outcomes.

This collection of outcomes makes up the sample space for this straightforward experiment. It includes every conceivable variation resulting from a draw out of the selection of different-colored marbles within the bag.

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Answer:

201 miles.

Step-by-step explanation:

If you've traveled 124 miles in 2 hours, than in one hour must've been 62 miles. 62 multiplied by 3 is 186, which is how much miles have been traveled in 3 hours. Plus the 15 minutes would probably be 201 miles. Hope this helps!

Answer:

Step-by-step explanation:

Given the following data;

Principal = $7,000

Interest = 3.5% = 3.5/100 = 0.035

To find the future value, we would use the compound interest formula;

\( A = P(1 + \frac{r}{n})^{nt}\)

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

\( A = 7000(1 + \frac{0.035}{n})^{nt}\)

Answer:

-1

Step-by-step explanation:

14 - .5(30)

14 - 15 = -1

y = -1

Step-by-step explanation:

insert x = 30

y = 14-0.5(30)

y = 14-15

y = -1

Answer:

Step-by-step explanation:

it becomes lighter  :P   or maybe you could say  "bouncier"   :P  

Answer:

It decreaases

Step-by-step explanation:

If the gravity of a planet decreases, there is less pull to the center of said planet, making the object weigh less.

Answer:

Step-by-step explanation:

y = k X x                  

y  : x = k

k = y : x

Si k = -2, y =   k x X = -2 X -4 = 8

Ainsi, y = 8.

Answer:

-65

Step-by-step explanation:

hope this helps

Hey there!
In order to multiply fractions, all we should do is multiply the numerator of the first fraction times the numerator and the denominator of the first fraction times the denominator of the second one:

\(\bold{\displaystyle\frac{2}{7} x\frac{1}{3} }\)

Multiply 2 times 1 and 7 times 3:

\(\boxed{\boxed{\bold{\displaystyle\frac{2}{21} }}}\) (Final Answer)

Hope everything is clear.

Let me know if you have any questions; if so, please comment.

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\(\rule{200}{2}\)

Answer:

48

Step-by-step explanation:

48 is divisble by all of them

LCM of the given number is 24, and we know that age of your sister lies between 40 and 50, so the number divisible by 24 and lying in the given range is your sister's age,

that is 48

( because 48 is only number between 40 and 50 which is divisible by 24 )

So the measure of angle HLK is 45 degrees.

In geometry, an arc is a part of a curve that is typically a segment of a circle. It is defined by any two points on the curve, which are called its endpoints, and by all the points that lie along the curve between those two endpoints. An arc can be measured by its degree measure, which is the measure of the central angle that intercepts the arc, or by its length, which is the distance between its endpoints along the curve. In the context of a circle, an arc is also called a circular arc.

Here,

Since the measure of minor arc HK is 90°, we know that angle HJK is also 90°, since it is an inscribed angle that intercepts the same arc.

By the inscribed angle theorem, the measure of angle HLK is half the measure of arc HK. Therefore,

measure of angle HLK = 1/2 * measure of arc HK

= 1/2 * 90°

= 45°

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Answer:

8 units because the diameter is the side to side length of the circle so when you count it you get 8 units.

Answer:

The variable can be any letter.

Step-by-step explanation:

The value of z is 4.

Given that,

Based on the above information, the calculation is as follows:

4z = 16

z = 4

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Please find attached photograph for your answer.