What is the length of the line?
Choose 1 answer:

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: E is the answer

Step-by-step explanation:

The population sample that does not produce a biased result is when he asks every fifth student arriving at school. The correct option is E.

Surveys can be used to determine how representative each person's opinions and experiences are.

When conducted properly, surveys offer precise data about people's beliefs and actions that can be utilized to inform significant decisions.

A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities.

This guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.

Survey bias is when a question is worded or presented in a way that encourages individuals to select one response over another.

The same holds true if your queries are challenging for customers to comprehend and honestly answer.

As, when he asks every fifth student arriving at school, it can lead to an unbiased result.

Thus, the correct option is E.

For more details regarding survey, visit:

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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:

were is the line

Step-by-step explanation:

Answer:

1- y=2x-5

2- y=-1/6x-5

Hope this helps you!!

The question is incomplete. Kindly see the correct question below

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this

Answer:

9D +6C < 108

Step-by-step explanation:

Let the price of Dvd be D

Let the price of CDs be C

Hence the inequality can be represented as follows

9D + 6C < 108

Answer:

the answer is 3.2

Step-by-step explanation:

x≈3.2

Answer:

B. At its lowest point, the wire is 24 feet above the ground

Step-by-step explanation:

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

HOPE THIS HELPS!!!

Have a great day!

- Hailey: )

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

Answer:

5

Step-by-step explanation:

sorry if inorrect

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:

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

Step-by-step explanation:

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow \dfrac{-2}{3m}=12[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=3m\times 12[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=6m[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow m=\dfrac{-2}{6}[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow{\underline{\boxed{\bf{ m=-\dfrac{1}{3}}}}}[/tex]

Answer:

The ladder would reach 15.2 feet up

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 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

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.

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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:

c

Step-by-step explanation:

Answer:

Most males preferred black laptops

Step-by-step explanation:

Answer:

267.95cm^3

Step-by-step explanation:

S= 4πr^2

Surface area is 200.96

π= 3.142

200.96= 4×3.142×r^2

200.96= 12.57r^2

r^2= 200.96/12.57

= 15.99

= √15.99

r = 3.9

Volume= 4/3πr^3

= 4/3× 3.142×3.9^3

= 267.95 cm^3

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:

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:

14 = c

Step-by-step explanation:

it is just like u said;

a + b = c

6 + 8 = c = 14

(it could also be 8-6 = c = 2)

Answer:

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

Step-by-step explanation:

Let

x = days he reads for 4.5 hours

y = days he reads for 3.5 hours

x + y = 7 (1)

4.5x + 3.5y = 25.5 (2)

From (1)

x = 7 - y

Substitute x = 7 - y into (2)

4.5x + 3.5y = 25.5 (2)

4.5(7 - y) + 3.5y = 25.5

31.5 - 4.5y + 3.5y = 25.5

- 4.5y + 3.5y = 25.5 - 31.5

-y = -6

y = 6

Substitute y = 6 into (1)

x + y = 7 (1)

x + 6 = 7

x = 7 - 6

x = 1

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans

Answer:

(n-1)

Step-by-step explanation:

Answer:

The original price was $7.21

Step-by-step explanation:

8.46-1.25= 7.21