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Firdavs [7]
4 years ago
6

At a certain college there are twice as many English majors as history majors and three times as many English majors as mathemat

ics majors. What is the ratio of the number of history majors to the number of mathematics majors?A. 6 to 1B. 3 to 2C. 2 to 3D. 1 to 5E. 1 to 6
Mathematics
1 answer:
daser333 [38]4 years ago
7 0

Answer:

The correct answer is B. 3 to 2.

Step-by-step explanation:

To solve this problem let suppose

English = E

History = H

Maths = M

so

E = H* 2 (there are twice as many English majors as history majors)

E = M* 3 (three times as many English majors as mathematics majors)

lets suppose E=6 then,

H = 3 and M =2

So

H to M = 3/2.

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What is the solution to this system?
Elza [17]

Answer:

Equation Form: x=−2,y=−2

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

3/2x+1=−x−4

Solve 3/2x+1=−x−4

for x. x=−2

Evaluate y when x=−2.

y=−2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,−2)

The result can be shown in multiple forms.

Point Form:

(−2,−2)

Equation Form:

x=−2,y=−2

7 0
3 years ago
Plz help this is complicated
abruzzese [7]

Answer:

Graph attached.

Step-by-step explanation:

In the question the given parameters are as followed.

y=7cos(\frac{x}{2})+1

1). Amplitude a = 7

2). Period = \frac{2\pi }{\frac{1}{2}}=2\pi \times 2=4\pi

3). Vertical shift = 1 means mid line of the graph will be y =1 and maximum of the graph is 8 and minimum is -6.

7 0
3 years ago
Please show an actual answer i need help
jek_recluse [69]

Answer:

1. wire is approx. 143.96 ft

2. pole is approx. 106.55 ft

Step-by-step explanation:

Mapping the information on the SOHCAHTOA picture below:

Φ = 46

wire = hypotenuse

adjacent side = 100

CAH is most suitable:

cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96

pole = opposite side + 3

TOA is most suitable:

tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55

4 0
3 years ago
What is the best first step in solving the equation 3x2 + 8x = -5?
Rashid [163]
I would assume it would be dividing both sides by three although if someone were to actually solve this I would say multiply 2 and 3 together first.

Hope this helps :)
5 0
3 years ago
Two dice are rolled at the same time. How many possible outcomes are there that match the event "the sum of the two scores is mo
olya-2409 [2.1K]
I believe it would be A.9
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3 years ago
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