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Soloha48 [4]
2 years ago
8

Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can tr

ansfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400, to the nearest percent, what percent of his monthly income will be budgeted for utilities?.
Mathematics
1 answer:
Oliga [24]2 years ago
7 0

The percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.

According to the question,

We have the following information:

Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can transfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400.

Now, let's take the percent to be x.

We have the following expression:

2400*x/100 = 125

24x = 125

x = 125/24

x = 5.21%

Hence, the percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.

To know more about percent here

brainly.com/question/28063156

#SPJ4

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If aa skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point. How high is the ramp?
guapka [62]

The height of the ramp is 9 meter

<u>Solution:</u>

It is given that a skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point.

If we look at the sum, closely we understand that the ramp is a right angled triangle.

Which has a base length of 12 metres and a hypotenuse of 15 metres.

We need to find its height.

To do so we can use the Pythagoras theorem

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, we get

\text {Hypotenuse}^{2}=\text {height}^{2}+\text { base }^{2}

Since we already know the lengths of the hypotenuse and base we can substitute them in the formula and solve for the height.

Let height of the ramp be denoted by ‘h’

\begin{array}{l}{15^{2}=12^{2}+h^{2}} \\\\ {225=144+h^{2}} \\\\ {225-144=h^{2}} \\\\ {81=h^{2}} \\\\ {h=\sqrt{81}} \\\\ {h=9}\end{array}

Therefore, the height of the ramp is 9 meter

3 0
3 years ago
An incident ray strikes a boundary at a 72. 5-degree angle, resulting in an angle of refraction of 39. 6 degrees. The index of r
LiRa [457]

Refractive index is the ratio of sin(i) to sin (r). Medium 2 is sodium chloride with a refractive index of 1.54.

<h3>What is Refractive Index?</h3>

A material's refractive index (sometimes called refraction index or index of refraction) is a dimensionless quantity that specifies how quickly light passes through it.

As we know that the Refractive index is the ratio of sin(i) to sin (r), and it can be represented as,

\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}

where

i is the incident angle and

r is the refraction angle.

Now, the refractive index can be written as for the given medium can be written as,

\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}\\\\

\rm Refractive\ Index = \dfrac{Sin(79.5)}{Sin(39.6)}=1.542

Now, if we take the ratio of the refractive index of the two mediums, then

\rm 1.542 = \dfrac{n}{1.0003}\\\\n = 1.542 \times 1.0003\\\\n= 1.5425\ \approx 1.54

Hence, Medium 2 is sodium chloride with a refractive index of 1.54.

Learn more about Refractive Index:

brainly.com/question/17156275

8 0
3 years ago
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Juliette [100K]

Using linear function concepts, the y-intercept of AB is of 11.2.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points of a line, the slope is given by <u>change in y divided by change in x,</u> hence, for A(8,0) and B(3,7):

m = (7 - 0)/(3 - 8) = -7/5 = -1.4.

Then:

y = -1.4x + b.

When x = 8, y = 0, hence we use it to find the y-intercept b as follows:

0 = -1.4(8) + b

b = 11.2.

The y-intercept is of 11.2.

More can be learned about linear function concepts at brainly.com/question/24808124

#SPJ1

4 0
2 years ago
Plz help
notsponge [240]

Answer:

80

Step-by-step explanation:

7 0
3 years ago
Two co-teachers, Daniel and Mathew, have to grade a set of math journals.
Ulleksa [173]

Answer:

220

Step-by-step explanation:

55 percentage of x = 121

so X = 220

as simple as that

6 0
3 years ago
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