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4 years ago

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Mathematics

1 answer:

Phoenix [80]4 years ago

7 0

Answer:

Option B.

Step-by-step explanation:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

Given that the graph is a straight line, we can find the constant of proporctionality just by selecting a point, and then dividing the y-value by the x-value.

We can see from the graph that when y=5, x=4. Then, the constant of proportionality comes to be:

k = 5/4 = 1.25.

Then, the correct option is Option B.

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Find the approximate side length of a square game board with an area of 105 in2.

aleksley [76]

Answer:

Rounded to the nearest inch: 10

Rounded to the nearest tenth: 10.2

Rounded to the nearest hundredth: 10.25

Step-by-step explanation:

To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!

$A=s^2$

We are given the area, so plugging that into our equation looks like this:

$105=s^2$

To eliminate the exponent, take the square root of both sides of the equation!

$\sqrt{105}=s$

From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.

The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.

105 is closer to 100 than to 121, so √105 is closer to √100.

√100 is equal to 10, so the √105 is approximately 10 inches!

Using a calculator to check:

$\sqrt{105}=10.247$ inches

8 0

2 years ago

A bar of soap weighs as much as 3/4 of an identical bar plus 3/4 of a pound. How much does the bar of soap weigh?

Advocard [28]

3/4=0.75
Since 3/4 (of the bar) + 1/4 (of the bar) equals a whole bar (1), and 3/4 (of the bar) + 0.75 equals the whole weight of the bar, 0.75 is 1/4 of the bar. 1/4 times 4 equals 1, and 0.75 times 4 equals 3, so the bar of soap weighs 3 pounds.

5 0

4 years ago

Gina rides her bike to work at an average of 10.4 miles per hour. She bikes 1.2 hours each day. How many miles does Gina ride ea

tatiyna

So 10.4mi = 1 hour

We need to find out how many miles 1.2 hours is.

1.) Well, the first step would be to multiply 1.2 on both sides of:
10.4mi = 1 hour

because that would make this number of miles is = to 1.2 hours which is wha we're looking for

1.2(10.4) mi = 1.2 hour

2.) Simplify
12.48 mi = 1.2 hour

3.) That means Gina rides 12.48 miles each day if she rides for 1.2 hours each day at a pace of 10.4 miles per hour :)

8 0

3 years ago

Can someone please help me

solong [7]

Answer:

Step-by-step explanation:

its a right angle and one point is 40 as shown already so 90-40=50 hope this helps

5 0

3 years ago

Read 2 more answers

Ok I'm doing home work and need to show why 1/2 of 60 is not the same as 1/2 of 24 please help! It will give you 24 points.

Tems11 [23]

Simple,

1/2 of 60

re-write it as 0.5 of 60 aka 0.5*60

which is 0.5*60=30

Do the same with 1/2 of 24.

0.5 of 24

0.5*24=12.

Thus, it's not the same because they are different numbers and different number give you different answers.

7 0

4 years ago