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3 years ago

Mhanifa please help with this

Mathematics

1 answer:

Fed [463]3 years ago

8 0

Answer:

Use cross-multiplication to solve these

1) 6/2 = 4/p ⇒ 6p = 4*2 ⇒ p = 8/6 ⇒ p = 4/3
2) 4/k = 8/2 ⇒ 8k = 2*4 ⇒ k = 8/8 ⇒ k = 1
3) n/4 = 8/7 ⇒ n = 4*8/7 ⇒ n = 32/7
4) 5/3 = x/4 ⇒ x = 4*5/3 ⇒ x = 20/3

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Relationship B has a lesser rate than Relationship A. The graph represents Relationship A.

Zinaida [17]

Given that Relationship B has a lesser rate than Relationship A and that the graph representing Relationship A is a first-quadrant graph showing a ray from the origin through the points (2, 3) and (4, 6) where the horizontal axis label is Time in weeks and the vertical axis label is Plant growth in inches.

The rate of relationship A is given by the slope of the graph as follows:

$slope= \frac{6-3}{4-2} = \frac{3}{2} =1.5$

To obtain which table could represent Relationship B, we check the slopes of the tables and see which has a lesser slope.

For table A.
Time (weeks) 3 6 8 10
Plant growth (in.) 2.25 4.5 6 7.5

$slope= \frac{4.5-2.25}{6-3} = \frac{2.25}{3} =0.75$

For table B.
Time (weeks) 3 6 8 10
Plant growth (in.) 4.8 9.6 12.8 16

 $slope= \frac{9.6-4.8}{6-3} = \frac{4.8}{3} =1.6$

 For tabe C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2

 $slope= \frac{7.2-5.4}{4-3} = \frac{1.8}{1} =1.8$

For table D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9

 $slope= \frac{8.4-6.3}{4-3} = \frac{2.1}{1} =2.1$ 

Therefore, the table that could represent Relationship B is table A.

7 0

3 years ago

Read 2 more answers

When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?

34kurt

For the sake of example, let's multiply the two numbers $2.3 \times 10^5$ and $3.5 \times 10^7$ together. Altogether, we have:

$2.3\times10^5\times3.5\times10^7$

Rearranging the expression, we can group the exponents and coefficients together:

$2.3\times3.5\times10^5\times10^7$

Multiplying each out, we notice that since $10^5$ and $10^7$ have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:

$2.3\times3.5\times10^{5+7}=8.05\times10^{12}$

The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and adding its exponents.

8 0

3 years ago

9×(-1/3)×(-3)×(-1/9)=?

bulgar [2K]

Answer:

-1

Step-by-step explanation:

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3 years ago

(GRAPH BELOW)

Rainbow [258]

Answer:

The tap drains approximately half the water from the tank in 15 minutes

The tank initially has 50 gallons of water

Step-by-step explanation:

The tap drains approximately half the water from the tank in 15 minutes. True.

This is true because see that the point (15,25) lies on the graph of the line.

Which means after 15 minutes the amount of water left in the tank is 25 gallons and 25 is half of 50.

The tap drains exactly one gallon from the tank every minute. False

This is false because the slope of the graph is $m=\frac{50-25}{0-15}=-\frac{5}{3}$

The tank initially has 30 gallons of water. False.

The y-intercept is the initial gallons of water which is 50.

The tank initially has 50 gallons of water. True.

The y-intercept is the initial gallons of water which is 50.

The tank takes 50 minutes to drain completely. False.

It is false because the x-intercept tells us the tank is drained completely and it is not 50 minutes but rather 30 minutes.

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3 years ago

I have the formula A fraction • π r^2

MatroZZZ [7]

Answer:

22.2 ft²

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{50}{360}$

= π × 7.13² × $\frac{5}{36}$

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3 years ago