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2 years ago

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Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x

, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in a graph?

1 answer:

Blababa [14]2 years ago

4 0

I am not sure but I think it represent the middle coordinate

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The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of mone

Elena-2011 [213]

Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

Rate r = 0.04

time = x

The amount of money originally invested which is the principal P = 5,000

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2 years ago

Ray made an error while solving the following equation. In which step did ray make an error?

raketka [301]

He made an error is step 2

3x + 18 = 2x +8

subtract 2x from each side

x + 18 = 8

7 0

2 years ago

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Quadrilateral ABCD is located at A(-2,2), B(-2,4), C(2,4), and D(2,2). The Quadrilateral is then transformed using the rule (x +

Mice21 [21]

These should help!! The corresponding vertices make a rectangular prism:)

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2 years ago

108 identical books have a mass of 30 kg,find the mass of 150 such books

snow_lady [41]

Answer:

150 * 0.27777777778 kg = 41.666666667 kg.

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2 years ago

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

rusak2 [61]

Answer:

$x=30\\y=68\\z=82$

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

$y+z=5x$

The third angle is 14 more than the second

$z=y+14$

And remember that the sum of these three angles must be equal to 180.

$x+y+z=180$

Let's take these equations

$y+z=5x\\z=y+14\\x+y+z=180$

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

$x+y+z=180\\x+(y+z)=180\\x+(5x)=180$

Distribute the + sign

$x+5x=180$

Combine like terms;

$6x=180$

Divide by 6.

$x=\frac{180}{6}\\ x=30$

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example $z=y+14$

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

$x+y+z=180\\30+y+(y+14)=180$

Distribute the + sign and Combine like terms;

$30+y+y+14=180\\44+2y=180\\$

Subtract 44 to isolate 2y.

$2y=180-44\\2y=136$

Now divide by 2.

$y=\frac{136}{2}\\ y=68$

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

$x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82$

5 0

2 years ago