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Snowcat [4.5K]
2 years ago
11

A man has a wife with six children and

Mathematics
1 answer:
BartSMP [9]2 years ago
8 0

Answer:

i)10\% \: of \: 8500 \\  =  \frac{1}{10}  \times 8500 \\  = 850 \: was \: his \: tax

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Please help 100 points and brainlest for all the answers
masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

The relationship is directly proportional as the line connecting all points is straight line passing through the origin.

For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

y=16x

If x=10, then y=16\cdot 10=160 square feet.

Q2. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin (see second attached graph).

For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

y=0.45x

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

y=12.5x

When x=14, then y=12.5\cdot 14=175

Hence, the cost of 14 tickets is $175

Q4. This table does not show the direct variation because

if x = 500 and y = 40, then

for x = 100, y is 40\div 5=8

and for x = 700, y must be 7\cdot 8=56 not 50.

Hence, this relationship does not show the direct proportionality between x and y.

Q5. This elationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

The constant of proportionality is k=1.75

The equation of proportionality is y=1.75x

When y=28, then

28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

k=\dfrac{61}{2}=30.5

The equation of proportional relationship is

y=30.5x

When y=274.50, then

274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

y=kx

Circle all equations in this form:

y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x

Q8. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If y is directly proportional to x, the equation is of the form y = kx (where k is a constant).

This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

4 0
3 years ago
Read 2 more answers
Xian and his cousin Kal both collect stamps. Xian has 52 stamps, and Kal has 68 stamps. The boys recently
s344n2d4d5 [400]

Answer:

In 4 months, they will both have 132 stamps.

Step-by-step explanation:

Let x = # of months

52 + 20x = 68 + 16x

4x = 16

x = 4

Plug x value into both expressions and see if it checks out

52 + 20(4) = 68 + 16(4)

52 + 80 = 68 + 64

132 = 132

7 0
3 years ago
20 increased by twice Greg's savings<br> Use the variable g to represent Greg's savings.
Sophie [7]
40g
20 + 20=40
Sorry if I’m wrong
4 0
2 years ago
Read 2 more answers
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
rewona [7]

Answer:

A) Ed

Explanation: How i got it was by first looking at what Eric’s weight loss program, I then guessed he lost about the same amount of weight each week (1.5), i then did that times 4 since that’s how many weeks were recorded on the chart which gave me 6. I then looked at the chart again and saw that Ed first started with the weight 205 and by week 4 his weight was 197, I then did 205-197 which equals 8, I then decided that Ed lost more weight.

3 0
3 years ago
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Find the sum of first 20 to terms of an ap in which d is equal to 7 and 20 second term is 149​
GuDViN [60]

Answer:

1370

Step-by-step explanation:

<h3>Given</h3>
  • AP with d= 7 and a₂₂ = 149
<h3>To find</h3>
  • Sum of first 20 terms
<h3>Solution</h3>

<u>First, let's get the value of the first term:</u>

  • aₙ = a + (n-1)d
  • a₂₂ = a + 21d
  • 149 = a + 21*7
  • a = 149 - 147
  • a= 2

<u>Next, let's find the sum of the first 20 terms</u>

  • Sₙ = 1/2n(2a+ (n-1)d)
  • S₂₀ = 1/2*20(2*2 + 19*7) = 10(4 + 133) = 10*137 = 1370

<u>Answer is</u> 1370

6 0
3 years ago
Read 2 more answers
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