Angle 2 is 60. Find angle 8.

Options:
140
100
40
60

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

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:

were is the line

Step-by-step explanation:

Answer:

1- y=2x-5

2- y=-1/6x-5

Hope this helps you!!

Answer:

true

Step-by-step explanation:

Answer:

I’m pretty sure it’s true. Hope this helps!

Answer:

y=2x+5

Step-by-step explanation:

If you graph it you can figure out the starting point of the parallel line.

The rate of change is 2 and since the point the parallel line needs to pass through is (-1,3) you need to shift the starting point (y-intercept) up by 10 units.

Shifting the y-intercept of y=2x-5 up by 10 makes the new line y=2x+5.

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:

1-6

2-87.5%

Step-by-step explanation:

with number one, you would count everything above 10 books, because its asking for more than.

with 2, you count the 6 book number, and everything above that. then you find the total (14/16) and divide it like that.

Answer:

40 Percent

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3 x 4 = 12

4 x 3 = 12

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Answer:

1 out of 60.

this is found by taking the one side of six and multiplying the total sides by 10.

Step-by-step explanation:

Answer:

A) <SQT = 36 degrees

B) <QRW = 36 degrees

C)<PRV = 72 degrees

Step-by-step explanation:

A) <SQT = 36 degrees (< SQT and < PQR are vertically opposite angles, and vertically opposite angles are equal)

B) <QRW = 36 degrees ( <QRW and < SQT are corresponding angles since they lie on the same side of the transversal across the parallel lines. Corresponding angles are equal)

C)<PRV = 72 degrees( <PRV is the exterior base angle to < PQR and exterior base angles, are always twice their interior correxpondents)

Answer:

65 will be the correct answer

Step-by-step explanation:

32 1/2 may be a percentage. as such it is equivalent to 32.5 % or. 0.325.

32.5 % of 10 would be 3.25.

Answer:

Manau, kad tai D.

Answer:

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

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

i just took the test

Answer:

5

Step-by-step explanation:

sorry if inorrect

Answer:

the answer is 3.2

Step-by-step explanation:

x≈3.2

Answer:

(n-1)

Step-by-step explanation:

Answer:

For 1 figure, 2 pints are used

Step-by-step explanation:

9 figures = 18 pints

1 figure = 18/9

1 figure = 2 pints

Hope this helps!

Answer:

B

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 answer is below

Step-by-step explanation:

Let x represent the number of single cone ice cream and let y represent the number of double cone ice cream.

Since the vendor stocks a maximum of 70 single cones and a maximum of 45 double cones. hence:

0 < x ≤ 70, 0 < y ≤ 45      (1)

The vendor expects to sell no more than 50 ice creams, hence:

x + y ≤ 50

Plotting the constraint using geogebra online graphing tool, we can see that the solution to the problem is at (5, 45)

Since the vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50, hence:

Revenue = 3x + 4.5y

At the point (5, 45), the revenue is:

Revenue = 3(5) + 4.5(45) = $217.5

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

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:

28pi square units

Step-by-step explanation:

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Answer:

20π cubic units

Step-by-step explanation:

The volume of a cylinder is the area of the base x height.

The area of a circle is π r^2 squared.

So the area of the base is π ⋅ 2^2 = 4π

The height of the cylinder is 5, so the volume is 4π ⋅ 5 = 20π cubic units

Answer:

c

Step-by-step explanation:

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

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