A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. a) complete the Venn Diagram. b) How many students study ONLY French c) How many students study Spanish?

Answer:

Pennies = 80

Nickels = 160

Step-by-step explanation:

Two equations representing the relation between numbers of pennies and nickels have been given.

0.01p + 0.05n = 8.80 ---------(1)

n = 2p -----(2)

By substituting the value of n from equation (2) in equation (1).

0.01p + 0.05(2p) = 8.80

0.01p + 0.1p = 8.80

0.11p = 8.80

p = [tex]\frac{8.8}{0.11}[/tex]

p = 80

By equation (2)

n = 2×80

n = 160

Answer:

a. 452.4 cm³ to the nearest tenth b. 113.1 cm³ to the nearest tenth

c. 5.0 cm to the nearest tenth

Step-by-step explanation:

a. The volume of the water V₁ = πr²h since it is in a cylindrical container. r = 6 cm and h = 10 cm - 6 cm = 4 cm (since it is filled to a depth of 6 cm measuring from the top, so we have a height from the bottom of 10 cm - 6 cm = 4 cm).

So, V₁ = πr²h

= π × (6 cm)² × 4 cm

= 452.39 cm³

= 452.4 cm³ to the nearest tenth

b. The volume of the sphere V₂ = 4πr³/3 where r = radius of sphere = 3 cm.

V₂ = 4πr³/3

= 4π(3 cm)³/3

= 113.1 cm³ to the nearest tenth

c. When the sphere is placed in the container, the new volume of water in the container would be V = V₁ + V₂

So V = 452.4 cm³ + 113.1 cm³ = 565.5 cm³

Since the volume of water is still the volume of a cylinder, its height h is

h = V/πr²

= 565.5 cm³/π(6 cm)²

= 5.0 cm to the nearest tenth

Answer:

work is shown and pictured

Answer: 41,200 minutes

Step-by-step explanation: 412 x 100 is 41,200, so she need 41,200 minutes  to comeplete the 100-mile drive.

This question is incomplete because it lacks the appropriate options

Complete Question

Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If a student is selected at random, what is the

probability that the student takes Spanish or French?

A 31%

B. 27%

C. 23%

D. 19%

Answer:

C. 23%

Step-by-step explanation:

At Central High

From the question, we are told that:

Spanish = 15%

French = 12%

Spanish and French = 4%

French or Spanish = unknown

Therefore, the probability that a student at random takes Spanish or French

= P(Spanish) + P(French) - P(Spanish and French)

= 15% + 12% - 4%

= 27% - 4%

= 23%

Answer:

~120.4 cm

Step-by-step explanation:

Applying the Pythagorean theorem:

height^2 + 127^2 = 175^2

=> height^2 = 175^2 - 127^2

=> height^2 = 14496

=> height = sqrt(14496) = ~120.4 cm

Hope this helps!

Answer:

b

Step-by-step explanation:

I DID THIS !!

The Options 3rd and 4th are the correct options that be folded into a cube.

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

In the given figure of the cube, if we open up the formation then we get to know that only options 2nd and options 4th can be folded into a cube.

The third figure form a pyramid and 1st option could not able to make the cube when folded.

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Answer: 2.11cm

Step-by-step explanation:

Given the following :

The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm

The area of trapezoid is calculated using the formula:

1/2(a + b) × h

Where ;

a = Length of side 1

b = length of side 2

h = height

Take a = (2z + 3) and b = (6z – 1), h = z

Therefore ;

1/2 (2z + 3 + 6z - 1) × z

Opening the bracket

(z + 1.5 + 3z - 0.5) × z

(4z + 1 ) × z = 20cm^2

4z^2 + z = 20cm^2

Using Quadratic formula:

4z^2 + z - 20 = 0

a = 4, b = 1, c = - 20

(-b±√b^2 -4ac) / 2a

Z = 2.11 or - 2.364

z cannot be negative, therefore,

Z = 2.11 cm

Answer:

[tex]c=\sqrt{a}^{2}+b^{2}[/tex]

Step-by-step explanation:

Answer:

The formula is a^2+b^2=c^2

Answer:

-n-2

Step-by-step explanation:

First, you need to distribute the 2 on the -2n and -1. So multiply the 2 by -2n and -1. You get = -4n-2.

You still have the 3n, so the equation will now look like: 3n-4n-2.

Combine like terms. 3n-4n= -1n or just -n.

Now you have -n-2.

Answer:

it is answer two

Step-by-step explanation:

i only answered because the other person just spoke jibberish

Answer:

(x-3)^2 = 4

Step-by-step explanation:

2 ( x-3) ^2 +6 = 14

Subtract 6 from each side

2(x-3)^2 = 8

Divide each side by 2

(x-3)^2 = 4

Take the square root of each side

x-3 = ±2

Add 3 to each side

x = 3±2

x =1         x = 5

Answer:

(−8x+1)(x+2)

Step-by-step explanation:

Factor −8x2−15x+2

−8x2−15x+2

=(−8x+1)(x+2)

Answer: 16 questions

Step-by-step explanation:

To find how many problems the student correctly answered on the test, we can turn 80% into a fraction.

[tex]\frac{80}{100} =\frac{16}{20}[/tex]

The student answered 16 questions correctly.

The value of (0.3)^4 is 0.0081.

Unless you mean 0.3*4, then it is 1.2.

Answer:

150 greatballs 200 pokeballs. Ratio is 4:3

Step-by-step explanation:

Answer:

334.65

Step-by-step explanation:

97% of 345 = 334.65

Answer:

in edg is B

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Answer:

Brutus

Step-by-step explanation:

He was the one who killed him, because he didn't fancy Caesar's ambition.

Answer:

Alcohol

Step-by-step explanation:

Alcohol would be more suitable for making measurements in a -60 degree laboratory, since its boiling point is 78 degrees and its freezing point is -80 degrees, meaning alcohol will not freeze in a -60 degree environment.

Mercury on the other hand, has a freezing point of -39. Thus, it will freeze in a -60 degree environment, making it not suitable for use in this laboratory.

Answer:

31r-71

Step-by-step explanation:

=> 6(5r-11)-(5-r)

=> 30r-66-5+r

=> 30r+r-66-5

=> 31r-71

Answer:

B

Step-by-step explanation:

6(5r-11) - (5 - r)

Expand.

30r-66 - 5 + r

Rearrange.

30r + r - 66 - 5

31r - 66 - 5

Factor negative sign.

31r - (66+5)

Add.

31r - (71)

The graph shows that for every hour the earnings are $!8.

Option D is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Some of the coordinates from the graph are:

(1, 18), (2, 36), and (3, 54)

Now,

The rate of change between (1, 18), and (2, 36).

Slope = (36 - 18) / (2 - 1) = 18

The rate of change between (2, 36), and (3, 54).

Slope = (54 - 36) / (3 - 2) = 18

This means,

That for every hour there is an earning of $18.

Thus,

The graph shows that for every hour the earnings are $!8.

Learn more about coordinates here:

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#SPJ2

Answer:

The measure of angle P is 43°

Step-by-step explanation:

If a quadrilateral is inscribed inside a circle, the sum of opposite angles are always equal to 180 degrees.

The angle POR is opposite to the angle PQR, and the angle OPQ is opposite to the angle ORQ.

So we have that:

mOPQ + mORQ = 180°

y + 3y + 8 = 180

4y = 172

y = 43°

So the measure of angle P is 43°.

Answer:

Chose10-8 2

Step-by-step explanation:

Step-by-step explanation:

4x+2y=4

soln

4×x+2×6=4

4x+ 12=4

4x=12-4

4÷4x=8÷4

x=2

Answer:

Step-by-step explanation:

Answer:

XZ = 16.25 cm

QR = 6.8 cm

Step-by-step explanation:

A) Taking the proportion of similar sides

=> [tex]\frac{7.2}{6.5} = \frac{18}{XZ}[/tex]

Cross Multiplying

=> 7.2 XZ = 18*6.5

=> XZ = 117/7.2

=> XZ = 16.25 cm

B) Taking proportion of similar sides

=> [tex]\frac{18}{17}=\frac{7.2}{QR}[/tex]

Cross Multiplying

=> 18 QR = 17*7.2

=> QR = 122.4/18

=> QR = 6.8 cm

Answer:

12 feet

Step-by-step explanation:

To get the volume of a rectangular prism, you must multiply the height, width, and length of the prism. So to get your answer, you must multiply 2 1/2 and 1/2, then divide 15 feet by the answer. 2 1/2 × 1/2 × 12 = 15