Find the value of X.

9514 1404 393

Answer:

  336 cm^2

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...

  A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2

Answer:

the answer to the system of equations is (-8,-4).

Answer:

B. (-4, -8)

Step-by-step explanation:

y = 1/2x - 6

x = -4

We already know the value of x, so let's plug it into the first equation.

y = 1/2x - 6

y = 1/2(-4) - 6

Multiply.

y = -2 - 6

Subtract.

y = -8

Your solution is (-4, -8).

Hope this helps!

Answer:

Third and fourth choice

Step-by-step explanation:

The problem declares two variables: y is total cost and x is hours. You can observe the choices -- substitute in hour's value and compare if it's true.

A

Since the first choice says that the total cost is $1.50 for 1 hour, substitute x = 1 in:

\(\displaystyle{y=2.10(1)+1.50}\\\\\displaystyle{y=2.10+1.50}\\\\\displaystyle{y=3.60}\)

Therefore, parking for 1 hour is $3.60, not $1.50. Hence, the first choice is false.

B

The second says that the total cost is $4.20 for 2 hours, do the same thing; substitute in x = 2:

\(\displaystyle{y=2.10(2)+1.50}\\\\\displaystyle{y=4.20+1.50}\\\\\displaystyle{y=5.70}\)

Therefore, for 2 hours, it's $5.70. Hence, the second choice is false.

C

The third says that it's $7.80 for 3 hours. Substitute in:

\(\displaystyle{y=2.10(3)+1.50}\\\\\displaystyle{y=6.30+1.50}\\\\\displaystyle{y=7.80}\)

$7.80 after evaluation as said. Hence the third choice is correct.

D

The fourth says that it's $12.00 for 5 hours:

\(\displaystyle{y=2.10(5)+1.50}\\\\\displaystyle{y=10.50+1.50}\\\\\displaystyle{y=12.00}\)

$12.00 after evaluation as said. Hence the fourth choice is also correct.

Therefore, correct answers are third and fourth choice.

Answer:

\(u = - 144\)

Step-by-step explanation:

\( - 24 = u \div 6\)

\( - 24 \times 6 = u\)

\( - 144 = u\)

to be sure

\( - 24 { = }^{?} - 144÷6\)

\( - 24 = - 24\)

Answer:

u = -144

Step-by-step explanation:

-24 = u ÷ 6

Multiply both side by 6.

-24 × 6 = u ÷ 6 × 6

-144 = u

Verification:-

-24 = -144 ÷ 6

-24 = -24

LHS = RHS

The length of the rectangle is 18 cm, and the width is 24 cm as per the concept of perimeter.

Let the length of the rectangle be 3x and the width be 4x, where x is a common factor.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 × (Length + Width)

Given that the perimeter is 84 cm, we can write the equation as:

84 = 2 × (3x + 4x)

Now, let's solve for x:

84 = 2 × 7x

42 = 7x

x = 42 / 7

x = 6

Now that we have the value of x, we can find the length and width of the rectangle:

Length = 3x = 3 × 6

           = 18 cm

Width = 4x = 4 × 6

          = 24 cm

Therefore, the length of the rectangle is 18 cm, and the width is 24 cm. The length and width are in the ratio 3:4, and the perimeter of the rectangle is indeed 84 cm.

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To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer:

78

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

according to hooke's law and Pythagorean theorem your answer is should be most definitely will be or is it honestly I don't know. but the answer should be too is in the number not the figure of speech.

Answer:

(someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

D

Answer:

the answer would be 1. 12.5

Step-by-step explanation:

Answer:

  30 inches

Step-by-step explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.

Answer:

30 ft

Step-by-step explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner.  Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio:                      letter height : length of phrase

Sketch (in inches):                   2 : 20

Banner (in feet):                       3 : x

Equate the ratios and solve for x:

\(\sf \implies 2 : 20 = 3 : x\)

\(\sf \implies \dfrac{2}{20}=\dfrac{3}{x}\)

\(\sf \implies 2x=3 \cdot 20\)

\(\sf \implies 2x=60\)

\(\sf \implies x=\dfrac{60}{2}\)

\(\sf \implies x=30\)

Therefore the length of paper your should buy to make the banner is 30ft.

Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.

In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.

The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:

likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles

So, in this case, the likelihood of selecting a yellow marble on the first draw is:

likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3

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Answer:

D x is all real numbers

R y ≥ -3

Step-by-step explanation:

The domain is the values that x can take

The domain is all real numbers

The range is the values that y can take

The range is y is greater than or equal to -3

In the given exponent 5², 5 is the base and 2 is the exponent. Therefore, the correct answer is option B.

The given exponent is 5².

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Example of exponents is x³, where x is the base and 3 is the exponent.

Here, in the exponent 5², 5 is the base and 2 is the exponent.

Therefore, the correct answer is option B.

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Answer:

\(y + 6 = -1(x + 2).\)

Step-by-step explanation:

Let's find the general equation of the given line:

\(y - x - 7 = 0\\\\y = x + 7.\)

We can see that \(m = 1.\)

Thus, the slope of any perpendicular line to the line \(y = x + 7\) is \(-1.\)

Given that the perpendicular line passes through (-2, -6), its point-slope form equation is as given:

\(y - y_1 = m(x - x_1)\\\\y - (-6) = -1(x - (-2))\\\\y + 6 = -1(x + 2).\)

Answer:

four tens

Step-by-step explanation:

four tens is greater because:

four tens = 40

thirty six and nine thousandths = 36.009

36.009 < 40

According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.

To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.

According to the above, the divisions would be:

According to the above, Brad was the one who scored the most goals.

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Answer:

14

Step-by-step explanation:

angle 90° is opposite the side x. angle 45° is opposite side 7√2.

x/sin 90 = (7√2)/sin 45

multiply both sides by sin 90 (sin 90 is = 1).

x = (7√2)/sin 45

 = 14

The correct statement are;

B. Katarina has 375 star stickers.

D. 75% of the stickers are stars.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.

Now,

Since, Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.

Hence, The number of hearts = 25% of 500

                                              = 25/100 × 500

                                              = 25 × 5

                                              = 125

And, Number of stars = 500 - 125

                                  = 375

                                  = 75% of 500

Thus, The correct statement are;

B. Katarina has 375 star stickers.

D. 75% of the stickers are stars.

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The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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Answer: y = 3x - 5

Step-by-step explanation:

Answer: y=3x-5

Step-by-step explanation:

thanks

:) 888888888888888888888888888888888888888888888888888

The statements that are true are:

A : Vertical angles are congruent, therefore, another angle must equal 67°

F: Two of the angles formed will have a sum of 180°

What happens when two lines intersect?

When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°

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Answer:

That's 9x the time, so the person will walk 9x the distance. 2.4*9 = 21.6 miles.

Step-by-step explanation:

Answer:

21.6 miles

Step-by-step explanation:

Step-by-step explanation:

solution..

(0,5)=(x1,y1)

(-3,4)= (X2,y2)

now,

distance (d)^2=(x2-x1)^2+(y2-y1)^2

Step-by-step explanation:

3(-x+2x+1)=x-1

3(x+1)=x-1

3x+3=x-1

3x-x=-1-3

2x=-4

x=-2

Answer: ok when it start

Step-by-step explanation:

Answer:

thx so much :)

Step-by-step explanation:

-3   |  9-8=1       | (-3, 1)

-2   | 4-8= -4      | (-2, -4)

-1   | 1-8=-7       | (-1, -7)

0.  | 0-8=-8       |  (0, -8)

1   | 1-8=-7       |  (1, -7)

Answer:

Step-by-step explanation:

A = P * (1 + r/n)^(n*t

The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 750(1.0002)^4t. (in dollars)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

For this case, we're given that:

Initial amount Christina deposits = P = $750

Rate of interest = 2% compounding quarterly

Time = t years

Rate of interest is compounding quarterly.

Each year has 4 quarters.

Quarterly interest rate compounding quarterly = 2%.

t years has 4t quarters = T

Thus, we get the final amount in Christina’s account as

A = P * (1 + r/n)^(n*t)

A = 750(1 + 0.02/100)^4t

A = 750(1.0002)^4t

Thus, the function that gives the amount of money in dollars, J(t), in Christina’s account t years after the initial deposit is A = 750(1.0002)^4t (in dollars)

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