Find the value of x. The answer is 32 I just need help showing my work.

Find The Value Of X. The Answer Is 32 I Just Need Help Showing My Work.

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

The line of length 48 = 1/2 of the baseline (3x) as the line 48 joins the midpoints of the 2 sloping sides.

1/2 * 3x = 48

multiply both sides by 2:

3x = 96

x = 32.


Related Questions

#1: The equation below describes the relationship between
the number of months (x) since a customer began renting a
storage unit and the total amount of money (y), in dollars, the
customer has paid to the storage facility.
`y=20x+35
Which statement describes a solution of the equation based
on the number of months the customer has rented the storage
unit?
A. After exactly 355 months, the customer has paid $16.
B. After exactly 16 months, the customer has paid $355.
C.After exactly 320 months, the customer has paid $16.
D.After exactly 16 months, the customer has paid $320.

Answers

The correct option for the given linear equation is option (B).

What is a linear equation?

An equation is said to be linear if the maximum power of the variable is always 1. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

The given equation is y =20x + 35

       y = total amount of money

       x = number of months the customer has been renting the storage unit

A) If x = 355

        y = 20 * 355 + 35 = $7135

    This is not the correct option.

B) If x = 16

      y = 20*16 + 35 = $355

     This is the correct option.

C) if x = 320

      y = 20 * 320 + 35 = $6435

      This is not the correct option.

D) If x = 16

       y = 20*16 + 35 = $355

      This is not the correct option.

Therefore the correct option for the given linear equation is option (B).

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What steps would you do to solve n/7+3 greater than or equal to -4?

Answers

Answer:

the answer is n ≥ -49

here are the steps for solving-

the problem Is like  n/7+3 ≥ -4

1. First subtract 3 from both sides. After doing that, the inequation should be Like This:

n/7 ≥ -7

2. since 7 is in Division form, when it goes to RHS, You multiply.

So -7 times 7 Is -49

so the answer is n≥ -49

The tables show the prices for ordering team jerseys from two different companies. You can use the information to write ratios showing the relationship between the cost and the corresponding number of jerseys.

Company A: 1/5=5 25/5=5 50/10=5 75/15=5.

These ratios are all equivalent

This relationship is proportional.


company B: 5/1=5 20/5=4 40/10=4 69/15=4.

These ratios are not all equivalent.

This relationship is not proportional.

Is the ratio constant or varying for company B? Explain

Answers

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.

Find the equivalent ratio by what method?

Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you can determine the equivalent ratio. Finding equivalent fractions follows the same procedure.

A ratio formula is what?

The ratio formula can be used to represent a ratio as a fraction. The ratio formula is given as a:b = a/b for any two quantities, let's say a and b.

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(2x+6y) exponent 2 with solution po thanks

Answers

Answer: (2x+6y)^2 = (2x+6y)(2x+6y) = 4x^2 +12xy + 12yx + 36y^2 = 4x^2 + 24xy + 36y^2

So the result of (2x+6y)^2 is 4x^2 + 24xy + 36y^2

What is the least common denominator?

Answers

Answer:

LCD = 24xyz

Step-by-step explanation:

Answer:

24

hope this helps

have a good day :)

Step-by-step explanation:


pleaseee help me!

.

Answers

Perimeter=52 meters
Area=99m^2

3: 5 and 2:10 is are equivalent . explain

Answers

The ratios are not equivalent.

This one is not equivalent

using factorization middle school way ☹️​

Answers

On solving the provided question, we can say that - by the prime factors we have x^2 + 1 +2x = X= -1, -1

what is prime factor?

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

here we have the equation,

[tex]x^2 + 1 + 2x\\[/tex]

(x+1)(x+1)

x = -1, -1

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the piece wise defined function f(x) is graphed below. What is the value of f(2)? PLS HELP THIS IS TIMED

Answers

Answer:

B

Step-by-step explanation:

We have to look at the full dot

What is the importance of constructing a probability distribution for a random variable in interpreting data?​

Answers

A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

A probability distribution is a list of all of the possible outcomes of a random variable, along with its corresponding probability values.

A probability distribution links each outcome of a random variable or process with its probability of occurrence.

A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

These models have a mathematical background, and can be very picky. For them to work properly, the random variable you are trying to fit in must meet different assumptions so that the outcomes of the model have the correct probabilities, and also so that you can test and validate the model against real data from the random variable.

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prove if the given triangles are similar. list the supporting reasons​

Answers

Answer:

rreflextion across x the reflection across y

Side D and B are both congruent

Step-by-step explanation:

Logan invested $180 in an account paying an interest rate of 2.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 12 years?

Answers

Answer:

250

Step-by-step explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=180 r=0.026 t=12

Given values

A=180e^{0.026(12)}

A=180e

0.026(12)

Plug in

A=180e^{0.312}

A=180e

0.312

Multiply

A=245.90784475

A=245.90784475

Use calculator (with e button)

A\approx 250

A≈250

Write the coordinates of the vertices after a rotation 90°
counterclockwise around the origin.

Answers

Answer:

see explanation

Step-by-step explanation:

under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

C (1, 9 ) → C' (- 9, 1 )

D (4, 9 ) → D' (- 9, 4 )

E (0, 3 ) → E' (- 3, 0 )

help pls asap gotta ace this bc my grades bad

Answers

Answer:

This is super simple! No need to worry.

Step-by-step explanation:

Just add the two results from the aquarium and amusement park for both the teacher and the students!

Soooo it'd look something like this lol

8 + 32 = 40 students were polled

5 + 5 = 10 teachers were polled

Form the quadratic equation whose one root is 2 + 2^(1/2)​

Answers

9514 1404 393

Answer:

  x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

  (x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

  (x -2)^2 -(√2)^2 = 0

  x^2 -4x +4 -2 = 0

  x^2 -4x +2 = 0 . . . . the equation you're looking for

What is the pattern?

Answers

Divide by 2 then add 100, so we have 160->180, and x->500, subtract 100, multiply by 2, so 800 = x

A triangle has an area of 70 square kilometers and a height of 10 kilometers.what is the length of the base?

Answers

Answer:

14km

Step-by-step explanation:

help pls, i'm stuck on this question

Answers

Answer:

∠x = 60°

Step-by-step explanation:

first:

∠a = 60° was given

the sides on each side of ∠a are equal so their opposite angles are equal also.

The sum of the interior angles of any triangle is 180°

The angles opposite ∠a are (180° - 60°)/2 = 60° each

Second:

∠b = 60° was given

so the angles opposite ∠b are also 60° each

Third:

the 2 angles opposite x are both 60° each because they are both vertical angles to 60°

That leaves ∠x  to be 180° - 60° - 60° = 60°

Help no links
Mr. McGill is solving the following problem: 42x=163. Mr. McGill set 2x=3 and got x=32 as his answer. Tell the mistake Mr. McGill made and tell the correct answer.

Answers

Answer:

Hmmmm. Mr. McGill seems a little lost.

At first, I thought he might have divided both sides by 21 (to get 2x on the left), but look what happens on the right side of the equation!

[tex]42x=163\\\\2x=54\,\, 1/3[/tex]  (not 3, for sure)

I think Mr. McGill needs to take the class you're in!

Two numbers are consecutive positive multiples of 3. Three times the larger of the numbers is 7/10of 5 times the smaller. What are the numbers?

Answers

Answer:

18 and 21

Step-by-step explanation:

Let the smaller number = 3x

Let the larger number =  3x + 3

The three and the plus 3 insure that the numbers are multiples of 3 and are consecutive.

3* (3x + 3) = 7/10 * 5 (3x)       Multiply both sides by 10

30*(3x + 3) = 7 * 5 * 3x          Remove the brackets

90x + 90 = 7 * 5 * 3x             Combine the right

90x + 90 = 105x                    Subtract 90x from both sides.

-90x             -90x

           90 = 15x                     Divide by 15

x = 90/15

x = 6

Let's see if it works.

3*(3x + 3) = 3*(18 + 3) = 3 * 21 = 63

7/10 * 5 *3x = 7/10 * 5 * 3*6 = 630 / 10 = 63

During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth of an hour

Answers

Answer:

It will take Sarah 2 1/2 hours to mow 10 lawns

It will take Sarah 1 2/3 hours to clean 10 pools

Step-by-step explanation:

During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?

Number of lawns : Time to mow lawns = 6 : 1 1/2

= 6 : 3/2

Number of lawns : Time to mow lawns = 10 : x

6 : 3/2 = 10 : x

6 ÷ 3/2 = 10/x

6 * 2/3 = 10/x

12/3 = 10/x

Cross product

12 * x = 3 * 10

12x = 30

x = 30/12

x = 2 6/12

x = 2 1/2 hours

It will take Sarah 2 1/2 hours to mow 10 lawns

Number of pools cleaned : time taken = 1 : 1/6

Number of pools cleaned : time taken = 10 : x

1 : 1/6 = 10 : x

1 ÷ 1/6 = 10/x

1 * 6/1 = 10/x

6 = 10/x

Cross product

6 * x = 10

6x = 10

x = 10/6

x = 1 4/6

x = 1 2/3 hours

It will take Sarah 1 2/3 hours to clean 10 pools

The following magazines are in a rack at a doctor's office.

• 1 sports magazine
• 2 movie magazines
• 3 news magazines
• 3 science magazines

Gwen will choose a magazine at random, put it back, and choose another magazine. What is the probability that she will choose a science magazine and then a movie magazine?

A: 2/27
B: 1/12
C: 5/9
D: 7/12​

Answers

Well that is 7/12 because she might pic the movie just because it seems more interesting it’s the first thing that well come up to a humans mind

(8.5 x 10^3) (2 x 10^5)

Answers

Answer:

Simplified = 1.7×109

1.7×109 = 185.3

17.349 because X equals 17.348 + 1

How do you solve a math problem step by step?

Answers

Reading a math word problem through to the end will help you comprehend what you need to do in order to solve it. After reading it, you may determine which components of the issue that need to be resolved are the most important and which are not.

There are few basic steps to be followed while solving any mathematics problem:

1. Read and understand the problem.

2. Identify what is given and what is needed to solve the problem.

3. Choose an appropriate strategy to solve the problem.

4. Carry out the strategy.

5. Check your answer to make sure it is correct.

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Gregory(g) is 20 years older than his cousin Mark(m). Mark is 6 years younger than his
sister Louanne(L). Write an expression to represent the sum of their ages.

Answers

An expression to represent the sum of their ages is as follows.

g = 14 + L

How do you figure up the total age?

If the ratio of the ages of X and Y is p:q and their sum is X, then the following formula can be used to calculate Y's age: Age of Y = Y/Total Ages x Total Ratios. Age of Y = (p+q) q x A.

According to the given information:

Assume that L is Louannel's sister's age, m is Mark's age, and g is Gregory's age.

Gregory's age difference with his cousin Mark, who is 20 years older (m).

∴ g = 20 + m            .............(1)

Also given that Mark is 6 years younger than his sister Louanne(L)

∴ m = L - 6                ............(2)

Now, substituting m = L - 6 from (2) in (1),

∴ g = 20 + L - 6

∴ g = 14 + L

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(PLS HELP QUICKLY!) (ONLY HAVE 10 MINUTES!!! PLS HELP)
A fundraiser is being held to raise money for a new school playground. Of every $20 raised, $16 will be spent on playground equipment. If the goal of the fundraiser is $320.00 for playground equipment, how much money will it need to raise?

Answers

Answer:

$400

Step-by-step explanation:

If $16 will be spent, then you should do 320/16=20 to find out how many times people are donating. Since that answer what 20, they need people to give 20*20=400 oo be able to raise enough money fOr playground equipment

Fill in the blank question.
Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money.

Answers

The admission fee for the zoo and for the state park is given as follows:

Zoo: $13.State park: $6.5.

How to model the situation?

For the zoo, the costs are divided as follows:

Admission: 2x per student.Train ride: $3.25 per student.

20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:

20(2x + 3.25) = 40x + 65.

For the state park, the costs are divided as follows:

Admission: x per student.Train ride: $6.50 per student.

25 students are going to the state park, hence the total cost spent at the state park is given as follows:

25(x + 6.50) = 25x + 162.50.

The costs spent at both parks are the same, hence the value of x can be obtained as follows:

40x + 65 = 25x + 162.5

15x = 97.5

x = 97.5/15

x = 6.5.

Hence the admission fees are given as follows:

Zoo: $13, as 2x = 13.State park: $6.5, as x = 6.5.

Missing Information

The table is given by the image presented at the end of the answer.

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What is 0.632 as a fraction? Move numbers to the blanks to complete the fraction.
8
79
125
313
457
495
632
999

Answers

Answer:

Step-by-step explanation:

Converting 0.632 to a fraction, Step-by-Step

Step 1:

The first step to converting 0.632 to a fraction is to re-write 0.632 in the form p/q where p and q are both positive integers. To start with, 0.632 can be written as simply 0.632/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.632, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.632/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 0.632/1 each by 1000:

\frac{0.632 × 1000}{1 × 1000} = \frac{632}{1000}

1×1000

0.632×1000

=

1000

632

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:

\frac{632}{1000} = \frac{79}{125}

1000

632

=

125

79

PLZ HELP! I WILL GIVE BRAINLIEST! Factor 400 completely. Write all prime factors in order and use the 'power' notation.

Answers

Answer:

400= 2 x 2 x 2 x 2 x 5 x 5 = 2/4 x 5/2

Help please with this maths

Answers

The radius of the sphere is 9 centimeters.

What is the surface area of a sphere?

The area of the outer surface of a sphere is the surface area of a sphere.

And its formula:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

Given:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

So,

surface area of the sphere = 4πr²

324π cm² = 4πr²

Simplifying,

r² = 324π/4π

r² = 324/4

r² = 81

r = 9

Therefore, the radius is 9 centimeters.

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