Pythagorean theorem Digital Escape Puzzle 4,Need Answer Immediately!!!

Answer:

1. x= 9

2. x= −2

3. 51 inches

4. $213.11 each month

Step-by-step explanation:

1. Simplify both sides of the equation.

x + 7 + 7x= 25 + 6x

Combine Like Terms

(x + 7x) + (7)=6x + 25

8x + 7= 6x + 25

8x + 7= 6x + 25

Subtract 6x from both sides.

8x + 7 − 6x= 6x + 25 − 6x

2x + 7= 25

Subtract 7 from both sides.

2x + 7 − 7= 25 − 7

2x= 18

Divide both sides by 2.

2x/2= 18/2

2.  Subtract 5x from both sides.

x − 5x= 5x + 8 − 5x

−4x= 8

Divide both sides by -4.

−4x/−4= 8/−4

3. First find the perimeter of the trapezoid

4 + 3 + 4 + 8= 19

A square has all equal sides

8 * 4= 32

Add them together

19 + 32 = 51 inches

4. Subtract the amount she put for finance from the total

1598.66 - 320 = 1278.66

Then divide that amount by the 6 months

1278.66 divided by 6 = 213.11

$213.11 each month

Answer:

                              5

Jeffrey will use 9  __ cups of oatmeal

                              8

Step-by-step explanation:

2.75 cups of oatmeal per 1 dozen

2.75 x 2 = 5.5

2.75 + 2.75(1/2) = 4.125

add

5.5 + 4.125 =

9.625 cups of oatmeal

              or

9 5/8 cup

Answer:

coupon A

Step-by-step explanation:

coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15

Answer:

The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.

Step-by-step explanation:

Answer:

were is the line

Step-by-step explanation:

Answer:

1- y=2x-5

2- y=-1/6x-5

Hope this helps you!!

Answer:

-7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

3x + 6 = x - 8

-x -x

(subtract x from both sides)

2x + 6= −8

-6 -6

(subtract 6 from both sides)

2x = -14

/2 /2

(divide 2 by both sides)

x = -7

hope this helped!

Answer:

B

Step-by-step explanation:

Amanda does start with 30 homework questions

She does complete 3 questions every 2 minutes

After 10 minutes she has completed half of her questions

But she does not finish 2 questions every 3 minutes

hope this helps <3

Answer:

The original price was $7.21

Step-by-step explanation:

8.46-1.25= 7.21

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x = [tex]\sqrt{20}[/tex]

x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]

x = 2[tex]\sqrt{5}[/tex]

Answer:

the probability of rolling 6 is 16 or 16.7%.

the probability of rolling 7 is 0.

Step-by-step explanation:

7 is 0 because its impossible to roll a 7 on one number cube.

Answer:

Mean= sum/no.

= 35+77+80+86+87+90+94+100 / 8

= 649/8

=81.125 was the mean

Median: the middle number

35, 77, 80, 86, 87, 90, 94, 100

Both are in the middle so: 86+87/2

=173/2

=86.5 as the median

Step-by-step explanation:

followed: 35, 77, 80, 86, 87, 90, 94, 100

calculate the mean and median of this data set

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans

Answer:

a

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

I just got done with this same quiz and i got a 100 .

Answer:

46,746 mm²

Step-by-step explanation:

½×(210+84)×318

= 46,746 mm²

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

HOPE THIS HELPS!!!

Have a great day!

- Hailey: )

There is 5 weeks do they need to fundraise.

Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

Your school is having a fundraiser in order to pay for t-shirts.

They need to raise $882.69.

They have already collected $92.85 in donations.

Their goal is to have $190 donated each week.

Let, x be the number of weeks do they need to fundraise.

The number of weeks do they need to fundraise is given by;

[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]

Hence, there is 5 weeks do they need to fundraise.

Learn more about inequality here;

https://brainly.com/question/15140706

#SPJ2

Answer:

Most males preferred black laptops

Step-by-step explanation:

Answer:

The standard deviation for week two was about 3 ounces more than the standard deviation for week one

Step-by-step explanation:

Given

[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]

[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]

See attachment for options

Required

The true statement

Checking the standard deviation

For week 1

Calculate the mean:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]

[tex]\bar x = \frac{1014}{10}[/tex]

[tex]\bar x_1 = 101.4[/tex]

Then standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]

[tex]\sigma_1 = \sqrt{252.24[/tex]

[tex]\sigma_1 = 15.88[/tex]

For week 2, we have:

[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]

[tex]\bar x = \frac{1037}{10}[/tex]

[tex]\bar x_2 = 103.7[/tex]

Then standard deviation

[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]

[tex]\sigma_2 = \sqrt{353.81[/tex]

[tex]\sigma_2 = 18.81[/tex]

Compare the standard deviations

[tex]\sigma_1 = 15.88[/tex]

[tex]\sigma_2 = 18.81[/tex]

Calculate the difference:

[tex]d = \sigma_2 - \sigma_1[/tex]

[tex]d = 18.81 - 15.88[/tex]

[tex]d = 2.93[/tex]

[tex]d \approx 3[/tex]

This implies that option (b) is true

Answer:

C=17

Step-by-step explanation:

15^2+8^2=c^2

C^2=289

C=17

Answer: The answer is 0.495

Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!

Answer:

Entiendo tu idioma, hablas español, ¿no? Me encantaría ayudarte hablo inglés y español

Step-by-step explanation:

Answer:

the answer is 3.2

Step-by-step explanation:

x≈3.2

The correct range is (80, 112).

The correct option is (D).

Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.

As per the given data:

We are given the mean of the sample.

The mean of the sample = 96

In each option, a range is given.

We have to find out which is the correct range for the given mean.

For a range (a, b) the mean is given by:

mean = (a + b)/2

By using the above definition and checking all the options:

For (76, 108)

mean = (76 + 108)/2 = 92, Not the correct range

For (82, 114)

mean = (82 + 114)/2 = 98, Not the correct range

For (78, 110)

mean = (78 + 110)/2 = 94, Not the correct range

For (80, 112)

mean = (80 + 112)/2 = 96, The correct range

The correct range is (80, 112).

Hence, the correct range is (80, 112).

To learn more about mean, click:

brainly.com/question/31101410

#SPJ7

Answer:

50

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D. 50

Step-by-step explanation:

∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:

m∠CGF + m∠AFG = 180°

And, we can substitute:

3x - 20 + x = 180

4x - 20 = 180

4x = 200

x = 50

Answer:

The ladder would reach 15.2 feet up

Answer:

x = 65

Step-by-step explanation:

All angles in the triangle equal 180

Set up your formula as

180 = x+75+40

180-75-40=x

65=x

Answer:

Look it up up

Step-by-step explanation:

Answer:

The frequency of note E is:

f(E) = 330 Hz

The frequency of note C is:

f(C) = 262 Hz

The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:

r  = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26

Now, we want to find how man E waves will fit in the length of four C waves.

Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.

For waves, we have the relationship:

v = f*λ

where:

v = velocity (in this case, velocity of the sound = 343 m/s)

f = frequency

λ = wavelength.

So, the length of a single E wave is:

λ(E) = (343 m/s)/(330 1/s) = 1.04 m

And the length of a single C note is:

λ(C) = (343 m/s)/(262 1/s) = 1.30 m

In four C waves, the length is:

4*λ(C) = 4*1.30m = 5.2m

The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:

N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14

So we can fit 5 E waves into four C waves.

Answer:

The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:

330 Hz / 262 Hz ≈ 1.26

To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:

330 Hz / 2 = 165 Hz

262 Hz / 2 = 131 Hz

So the ratio of the frequency of E to C is:

165 Hz / 131 Hz = 15/12 ≈ 1.25

This ratio is approximately equal to 5/4

Therefore, the answer is (A) 5 to 4

Answer:

60

Step-by-step explanation:

45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.

Hope this helps :D