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SpyIntel [72]
3 years ago
9

A Mathematics competition consists of 30 multiple-choice questions. A

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

Answer:

16

Step-by-step explanation:

let "x" be the number of correct questions and 37-x be the wrong questions,

4x-1(37-x)=44

4x-37+x=44

5x=81

x=16.2

hence,16 is the answer

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Find the root of 6x-48=0
Kisachek [45]
X=-8 final answer. hope that helps
3 0
3 years ago
Read 2 more answers
(3^n*3^2)^4=3^28<br> Enter the value of n for the equation<br> N= ?
maksim [4K]
Hello! And thank you for your question!

Use Pemdas to get

3^(n+2)*4=3^28

Rewrite the equation:

3^4(n+2) = 3^28

Cancel the base of 3:

4(n + 2) = 28

Then divide 4 on both sides:

2 + n = 28/4

Simplify 28/4:

2 + n = 7

Subtract 2 on both sides:

n = 7 - 2

Finally simplify 7 - 2:

n = 5

Final Answer:

n = 5
8 0
3 years ago
Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department
Licemer1 [7]

Answer:

B) To maintain peak performance for every 50 generators, there are 10 inspectors.

Step-by-step explanation:

For peak operational:

3 electricians for each generator.  ⇒  1 Generator : 3 Electricians

4 inspectors for every 60 electricians. ⇒  60 Electricians : 4 Inspectors

Now, the number of generators the state has now = 50

Let us assume the number of  inspectors  required by the power plant  = m

Now, from the given ratios:

For, 3 electrician there  is 1 generator

⇒ For, 3 x 20 Electrician  there is 1  x 20 Generators.

or, for 60 Electrician there are 20 Generators.   (1)

Also, for 60 Electrician there are 4 inspectors.    (2)

⇒From (1) and (2), we get:

For every 20 generators, there are 4 inspectors.

And, from what we have assumed  For every 50 generators, there are m inspectors.

So, by the RATIO OF PROPORTION:

\frac{20}{4}  = \frac{50}{m}\\ \implies  m = 50 \times\frac{4}{20}  = 10

or, m = 10

Hence, to maintain peak performance for every 50 generators, there are 10 inspectors.

3 0
3 years ago
A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (6, 5). What is
OLga [1]

Answer:

The vector joining the ship to the rock is t= 7 i + 5 j

The direction is 0.9505 radians east of north.

Step-by-step explanation:

The position vector of the ship:

r= 1 i + 0 j

The position vector of the ship:

s= 6 i + 5 j

The vector joining the ship to the rock is:

t = r + s

t = (1 i + 0 j) + (6 i + 5 j)

t = 7 i + 5 j

The bearing of the rock to the ship is:

Θ= \frac{ \pi}{2} - arctan (\frac{5}{7})= 0.9505 radians

4 0
3 years ago
What is the domain of the function y=?x-1?<br> 00 0 -1 00 OOO<br> 1
SVETLANKA909090 [29]

Answer:

The set of all real numbers

Step-by-step explanation:

The domain is the set of all real numbers (both positives and negatives including zero.

3 0
3 years ago
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