......................................................

......................................................

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                              = 10 * (x +2)

                              = 10*x + 10*2

                              = 10x + 20 square units

Area of triangle = [tex]\frac{1}{2}*bh[/tex]

                          [tex]=\frac{1}{2}*2*(x + 4)\\\\\\=1 * (x +4)\\\\\\[/tex]

                          = (x + 4) square units

Area of rectangle = 8* area of triangle

10x + 20 = 8 *( x+ 4)

10x + 20 = 8x + 32

Subtract 20 form both sides.

10x  = 8x + 32 - 20

10x = 8x + 12

Subtract 8x form both sides

10x - 8x = 12

2x = 12

Divide both sides by 2

2x/2 = 12/2

x = 6


Related Questions

The midpoint of AB is M(1, -3). If the coordinates of A are (4, -7), what are the
coordinates of B?

Answers

the coordinates of B would be (-2,1)

If a=2b then a:b= what ???​

Answers

Answer:

[tex]2:1[/tex]

Step-by-step explanation:

[tex]a:b\\---\\\ 2b:b\\2:1[/tex]

a man whose income is rupees 576 a year spends rupees 432 a year what percentage of his income does he save​

Answers

Answer:

He save 25% of his income.

Step-by-step explanation:

I guess I was help full for u

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lets take 576 as 100% so 576=100432=xfollowing unitary methodx=43200/576x=75%now saving %= 100%-75%= 25%

Answer:

25%

Step-by-step explanation:

576-432=144

576=100%

144=?

144×100÷576=25%

Evaluate the expression and enter your answer in the box below.
[(8 + 10) /3] +3 • (7-3)

Answers

Answer:

38.6

Step-by-step explanation:

if f(x)=2x-1 and g(x)=x^2-3x-2, find (f+g)(x)

Answers

Answer: (f+g)(x)=x²-x-3

Step-by-step explanation:

(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we can add them together.

(f+g)(x)=2x-1+x²-3x-2                [combine like terms]

(f+g)(x)=x²-x-3

Now, we know that (f+g)(x)=x²-x-3.

Find the value of x.

Answers

Answer:

x=20°

Step-by-step explanation:

This is actually simpler than it seems. Try redrawing (or maybe just imagine) that the only inscribed angle is x with the two lines going to the 40°. If we let 40°=θ, then: x=θ/2

This is actually true for any situation with inscribed angles, so you could use this to find w, y, and z as well.

Anyways x=(40°)/2=20°, so x=20°

A school bus requires 40 liters of fuel per week. If your school district runs 5,000 school buses, how many liters of fuel will the buses consume in 52 weeks? A. 15 million liters B. 10 million liters C. 10.4 million liters D. 200 million liters

Answers

Answer:

C. 10.4 million liters.

Step-by-step explanation:

1. First, you want to create an equation to help you solve this.  You know that there are 5,000 school buses and they use 40 liters of fuel per week.  So, you know that 5,000 · 40x would be the amount of fuel for x weeks (where x is the number of weeks).

2. To figure out how many liters would be used in 52 weeks, simply put 52 in for x.  So, the expression is 5,000·40(52).

3.  Multiply 40(52) to get 2,080.  Your expression now looks like this: 5,000·2,080

4. Multiply 5,000(2,080) to get your answer of 10,400,000 liters.

Hope this helps! :) If you could give me Brainliest that would be super helpful!

The measure of an angle is 89 times the measure of its supplementary angle. What is the measure of each angle

Answers

Answer:

2 and 178

Step-by-step explanation:

If we take an instance of a number 'x', according to the question we find that x+x*89=180(Because they are complementary)

We get, = 89x+x=180

=> 90x=180

=> x=180/90

=> x =2

So, we found that x=2 , hence the other angle is going to be 2*89=178

This is correct as 2+178=180(as they are supplementary to each other)

Hope this answer helps, Please mark me as brainliest, Thank you!

What is the value of x? (X+40)

Answers

-40

Step-by-step explanation:

at the moment your equation is x+40=0

you move the forty to the other side by subtraction and you get x= -40

Answer:

x=-40

Step-by-step explanation:

At least one of the numbers must be 0.

1. none
2. Hypothesis
3. Conclusion

Answers

Answer:

The answer is 1.) None

Step-by-step explanation:

Hope this helps you :)

Two points (p, q) on a linear supply function are ($2.55, 98,000) and ($6, 195,500).

⦁ Determine the supply function q = f(p).
⦁ What price would result in supplier offering 145,000 units for sale?
⦁ Interpret the slope of the function.
⦁ Determine the p intercept.
⦁ Sketch f(p)

Answers

Answer:

q ≈ 28270p +25935$4.21 will give a supply of 145,000slope is the supply increase per dollar of pricep-intercept is about -$0.92a graph is attached

Step-by-step explanation:

The two-point form of the equation of a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  q = (195500 -98000)/(6.00 -2.55)(p -2.55) +98000

  q = 97500/3.45(p -2.55) +98000

  q ≈ 28269.9p +25934.8

__

For a supply of 145000, the price would need to be ...

  145000 = 28269.9p +25934.8

  119065 = 28270p

  119065/28270 = p = 4.21

A price of $4.21 will result in a supply of $145,000.

__

The slope is the additional amount supplied for each dollar increase in price.

__

The price value that results in a supply of zero is ...

  0 = 28270p +25935

  -25935 = 28270p

  -25935/28270 = p ≈ -0.92

The p-intercept is about -$0.92.

3(x+5) = -6x+6 two column proof

Answers

Answer:

- 1

Step-by-step explanation:

Step 1:

3x + 15 = - 6x + 6

Step 2:

9x + 15 = 6

Step 3:

9x = - 9

Answer:

x = - 1

Hope This Helps :)

357,335 rounded to the nearest ten

Answers

Answer:

357,340

35 is the tens place, and if it is 5 or larger we round up to in this case, 40

Answer:

357340

Step-by-step explanation:

Find the equation of the line that is perpendicular to -x+2y=11 and passes through the point (6,-5).

Answers

Step-by-step explanation:

m=-2

y+5=2(x-6)

y+5=2x-12

y=2x-17

Answer:

Step-by-step explanation:

2y = x + 11

y = 1/2x + 11/2

perp. -2

y + 5 = -2(x - 6)

y + 5 = -2x + 12

y = -2x + 7

The ordered pairs in the table below represent a linear function. What’s the slope of the function?

Answers

Answer:

The slope is 2

Step-by-step explanation:

Using slope formula (y2-y1)/(x2-x1):

(8-2)/(9-6)

(6)/3

2

Answer:

3

Step-by-step explanation: took test edge

The fifth grade team ordered 5,000 markers for a project. Only 1/10 of the markers have been delivered. How many markers does the team have? ​

Answers

Answer:

500 markers

Step-by-step explanation:

Multiply 5000 by 1/10

[tex]5000*\frac{1}{10} \\\\= \frac{5000}{10}\\[/tex]

Simplify (dividing the numerator and denominator by 10)

[tex]\frac{5000}{10} \\= \frac{500}{1}\\= 500[/tex]

I hope this helped! If it did, a brainliest would be much :)

insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.​

Answers

Answer:

2,6,18,54

How I got this answer:

Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.

step by step:

2×3=6

6×3=18

18×3=54

The common ratio is 3.

Probenecid is a drug used by some athletes to prevent the excretion of other substances into urine, thus lowering their detectable concentrations. A scientist makes three measurements of a urine sample known to contain probenecid and obtains a confidence interval of 11.8±0.5 mg/L at the 95% confidence level. What would happen to the confidence interval at the same confidence level if the number of measurements is increased to 10 assuming the standard deviation remains the same?

Answers

Answer:

The confidence interval will decrease

Step-by-step explanation:

Generally the confidence interval is mathematically represented as

[tex]\= x \pm z_c * \frac{s}{\sqrt{n} }[/tex]

Here [tex]z_c[/tex] is called the critical value of [tex]\frac{level \ of \ significance }{2}[/tex] obtained from the normal distribution table , s is the standard deviation , n is the sample size (number of measurements )

Now looking at the formula we that if the increase the sample size that the confidence level would decrease

So if the n is increased to 10  

   The  confidence interval would decrease

Solve 20 - x/3 = x/2 , put the number only in the box.

Answers

Answer:

x = 24

Step-by-step explanation:

[tex]20 - \frac{x}{3} = \frac{x}{2} [/tex]

Multiply through by the LCM that's 6 in order to eliminate the fraction

That's

[tex]6 \times 20 - 6 \times \frac{x}{3} = 6 \times \frac{x}{2} \\ 120 - 2x = 3x[/tex]

Using the addition property add 2x to both sides of the equation

That's

[tex]3x + 2x = 120 + 2x - 2x \\ 5x = 120[/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{120}{5} [/tex]

We have the final answer as

x = 24

Hope this helps you

Answer:

X=24

Step-by-step explanation:

20=x/2+x/3

20=1/2x +1/3x

20=5/6x

20÷5/6=x

X=24

You have a summer job detailing cars. You charge $5 to wash a car, $25 to wax a car, and $2 to vacuum a car. What algebraic expression models the total amount you can earn? If you wash 8 cars, wax 2 cars, and vacuum 6 cars, how much will you earn in all?

Answers

5x+25x+2x, $102

Step-by-step explanation:

5x+25x+2x

5(8)=40

25(2)=50

2(6)=12

add what's behind the equal signs to get $102 in all

What is equal to 15.9 divided by 3

Answers

Answer:

5.3

Step-by-step explanation:

The answer is 5.3. Hope this could help

In the figure below, what is the value of xº?
75°
79°
O A. 180°
B. 26°
O C. 64°
O D. 101°

Answers

Answer:

x=26°

B. 26°

Step-by-step explanation:

Triangle Sum theorem

75 + 79 + x =180

154 + x =180

x= 26

please help :) Find the unknown length y in the following pair of similar triangles. y= ?

Answers

Answer:

Y should equal to 4.5

Step-by-step explanation:

Since they are similar triangles and each of the measurements on the second triangle are divided by two you would do the same for y

Please answer fast will make brainlest

Answers

Answer:

C

Step-by-step explanation:

Find the probability for one roll of a number cube.
P(number greater than or equal to 7)

A. 1/7
B. 0
C. 1/6
D. 1

Answers

The probability of rolling a 7 is = 1/6.
Answer: B) 0

The only possible outcomes on a standard number cube (aka a die or dice) are {1,2,3,4,5,6}

It is not possible to roll a 7 or larger, so we say the probability is 0. A probability of 0 means "impossible".

When x=-2, the value of y is

Answers

Answer:

emaybe

Step-by-step explanation:

e hopeA train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *

198,500 round to ten thousand

Answers

Answer:

200,000

Step-by-step explanation:

Please help
A local business does $1200 in sales on Monday and $1400 dollars in sales on Tuesday.
Which of the following a correct sentence to describe the ratio of Monday to Tuesday?

Answers

$1200+ $1400 = 2600


Answer:
1200 : 1400 = 6 : 7


The ratio is not in lowest terms so we found an equivalent ratio by simplifying.
Solution:

We can simplify the ratio 1200 : 1400 by dividing both terms by the greatest common factor (GCF).

The GCF of 1200 and 1400 is 200.

Divide both terms by 200.
1200 ÷ 200 = 6
1400 ÷ 200 = 7

Therefore:
1200 : 1400 = 6 : 7

I need help with part 2 please

Answers

Answer:

$65

Step-by-step explanation:

So we already determined that the total cost C to drive m miles is:

[tex]C=0.25m+40[/tex]

And we want to find the total cost of driving 100 miles.

So, substitute 100 for m and solve for C:

[tex]C=0.25(100)+40[/tex]

Multiply:

[tex]C=25+40[/tex]

Add:

[tex]C=\$ 65[/tex]

Therefore, it will cost $65 to drive 100 miles.

11 = 4/5h - 1 solve for h

Answers

Answer: h = 15

Step-by-step explanation: 4/5 x 15 = 60/5 = 12, 12 - 1 = 11.

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