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3 years ago

The value of y in the system of equations is:

Mathematics

1 answer:

nirvana33 [79]3 years ago

5 0

Y=1
Explanation:
You have to plug 2+x into the y of the first equation. After you solve that you should get-1 as the answer for x so you plug -1 into the x of the second equation and the value of y would be 1.

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A motorboat traveling with the current went 80 miles in 4 hours. Against the current, it took 5 hours to travel the same distanc

AysviL [449]

Let x be the speed of the motorboat and y be the speed of the current.

Then, for downstream, the speed is x + y.

Now, speed = distance/time.

Distance = 80 miles.

Time for downstream = 4 hours.

So, x + y = 80/4 = 20 (1)

Against the current, that is for upstream, the speed is x - y.

Time for upstream = 5 hours.

x - y = 80/5 = 16 (2)

Adding (1) and (2), we get,

2x = 36

x = 18

Hence, rate of the motorboat in calm water = 18 miles/hour.

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3 years ago

The quiz grades of a math class are given. 83, 76, 68, 97, 68, 80, 89, 74, 75, 81, 91, 90 The grades are normally distributed wi

Yuki888 [10]

Answer:

the answer is c) 1.08

Step-by-step explanation:

Step1:

Formula for calculating z-score is;

Z= (x-mean)/standard deviation

where x is the value for which z-score is required

Step 2:

As asked in the question z-score for highest grade is required which is 91;

z= (91-81)/9.3

z=10/9.3

z=1.075

which is approximately;

z=1.08

3 0

3 years ago

The record high temperature in January was 18 degrees. The record low temperature was –7 degrees. What is the amount of change b

vodka [1.7K]

Answer: $25^{\circ}$

Step-by-step explanation:

Given

The highest temperature recorded is $18^{\circ}$

The lowest temperature recorded is $-7^{\circ}$

The amount of change between the high and the low temperatures is

$\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}$

6 0

3 years ago

Please help me with this geometry question:((

Fudgin [204]

Answer:

x = 13

RQ = 160°

Step-by-step explanation:

Inscribed angles are half the intercepted arc angle.

5x + 15 = ½ (RQ)

RQ = 10x + 30

Arc angles add up to 360°.

10x + 30 + 9x + 17 + 6x − 12 = 360

25x + 35 = 360

25x = 325

x = 13

Therefore, RQ = 160°.

7 0

2 years ago

Read 2 more answers

Gina has completed her CAD drawing and wants to take a print out. What final step must she take before taking the print out?

viktelen [127]

Answer:

D. delete all the layers created and retain only the final layer

Step-by-step explanation:

CAD (Computer aided design) drawing is used in designing 2 and 3 dimensional drawings. It uses some computer software such as the C++ programming which supports custom objects. It was also one of the earliest forms of computer aided design programs that could be used on personal computers.

The final steps in the CAD drawing involves the deletion of all the extra layers created as a result of measurements, and the retention of only the final layer. This final layer would give us the real shape we need,

4 0

3 years ago