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Assoli18 [71]
3 years ago
9

Help me asap please!!

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0

Answer:

y = 1.6 x

y = 24

Step-by-step explanation:

The general equation of a direct variation is

y = k x

In this case

x = 10

y = 16

y = k*x

16 = 10*k

16/10 =  k

k = 1.6

y = 1.6x

================

Let x = 15

y = 1.6 * 15

y = 24

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Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,
denpristay [2]
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour. Answer is 3 miles per hour
5 0
3 years ago
Read 2 more answers
Solve the inequality. 2(4+2x)≥5x+5<br> x≤−2 <br> x≥−2 <br> x≤3<br> x≥3
KATRIN_1 [288]
<h2>Answer:</h2>

The solution of the inequality is:

                       x\leq 3

<h2>Step-by-step explanation:</h2>

We are given a inequality in terms of variable x as:

2(4+2x)\geq 5x+5

Now we are asked to find the solution of the inequality i.e. we are asked to find the possible values of x such that the inequality holds true.

We may simplify this inequality as follows:

On using the distributive property of multiplication in the left hand side of the inequality we have:

2\times 4+2\times 2x\geq 5x+5\\\\i.e.\\\\8+4x\geq 5x+5\\\\i.e.\\\\8-5\geq 5x-4x\\\\i.e.\\\\x\leq 3

The solution is:      x\leq 3

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3 years ago
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I need help <br><br> Explain your answer please
shepuryov [24]

Answer:

For a the answer is 1/20 or 5%. For b the answer is 6/20 or 30%.

Step-by-step explanation:

a) There are 20 spots the dart can land on. To land on one specific spot, it would be 1/20. 1 spot out of 20 spots.

b) There are 20 spots the dart can land on. To land on any of the 6 spots, it would be 6/20. 6 spots out of 20 spots.

7 0
3 years ago
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Semmy [17]

Answer:

Step-by-step explanation:

Circle degrees total 360 .  

360 - 126 -54-54 (other side of vertical angles) equals 126 degrees left for the other two remaining sections.  

14x+4  +15x+6 =126

19x+10 = 126

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3 0
2 years ago
Donna and her husband are each starting a saving plan. Donna will initially set aside $50 and then add $30.65 every week to the
kompoz [17]

The simplified expression for combined amount saved by Donna and her husband is 106.30N+50

Step-by-step explanation:

Given,

Function for amount saved by Donna;

A = 50+30.65N

Where N is the number of weeks.

Function for amount saved by Donna's husband

B = 75.65N

Let ,

The combined total amount saved be T.

T = A+B

T=(50+30.65N)+(75.65N)\\T=50+30.65N+75.65N\\T=50+106.30N\\T=106.30N+50

The simplified expression for combined amount saved by Donna and her husband is 106.30N+50

8 0
3 years ago
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