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4 years ago

The length of a rectangle is 3 inches more than three times the width. The perimeter is 62 inches. Find the length and width.

Mathematics

1 answer:

IRISSAK [1]4 years ago

4 0

Answer:

length= 24 inches

width= 7 inches

Step-by-step explanation:

Start by writing down what you know.

width= w

length= 3w+3

Then, we can substitute into the perimeter of a rectangle equation, P=2l+2w.

62= 2(3w+3) + 2(w)

62=6w+6+2w

62=8w+6

56=8w

7=w

Now, plug this into our original equations for length and width:

width=7

length= 3(7)+3, so 24

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Last week Anna received a pay check for $442.50. She noticed in the check stub that $47.30 of the money she earned had been with

Troyanec [42]

Answer:

Percentage of Taxes = 10.689 %

Step-by-step explanation:

Given that

Total earning of Anna is $442.50

The amount which is held with Taxes = $47.30

Now in terms of percentage

percentage of taxes from her total earning = $\frac{47.30}{442.50} times 100$

So % taxes = ( 0.106892) × 100

∴ Taxes percentage = 10.689 %

6 0

4 years ago

I don't understand this question at all please help if you do

lorasvet [3.4K]

Answer:

Answer is $\frac{4}{3}$

Step-by-step explanation:

To find the interval of x. Use our equations to equal each other.

$-x^2+2x=y,y=0$

$-x^2+2x=0\\-x(x-2)=0\\-x=0 , (x-2)=0\\x=0 ,2$

$\int\limits^2_0 {-x^2+2x} \, dx$

Integrate.

$\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3$

Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.

Proof Check your interval of x.

7 0

2 years ago

I need help solving this question. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7Dx%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%

Lynna [10]

Answer:

x=5/12

Step-by-step explanation:

$\frac{1}{4} /\frac{3}{5}=\frac{5}{12}$

x=5/12

8 0

4 years ago

Determine if the relation is a function if so state the domain and range

Sedaia [141]

Answer:

Function - Yes

Domain - [-3,0,3,4]

Range - [1,2,2,5]

Step-by-step explanation:

In a function, x-values cannot repeat and in this relation, x's do not repeat, therefore it is a function. The domain is the x-values on the graph from least to greatest; so to find the domain, simply take the first value of each coordinate and order them from least to greatest. Then, the range is the y-values, so to find the range take the second value from each coordinate and order them from least to greatest.

8 0

3 years ago

Identify the property used in each step of solving the inequality 3x-2>-4.

WARRIOR [948]

Addition property of equality

Division property of equality

Solution:

Given inequality is:

3x - 2 > 4

$\mathrm{Add\:}2\mathrm{\:to\:both\:sides}$

Here, Addition property of equality is used

When the same amount is added to both sides of an inequality, then the inequality is still true

3x - 2 + 2 > 4 + 2

3x > 6

$\mathrm{Divide\:both\:sides\:by\:}3$

Here, Division property of equality is used

When we divide both sides of an equation by the same nonzero number, the sides remain equal.

$\frac{3x}{3}>\frac{6}{3}\\\\x > 2$

Thus the property used in each step of solving the inequality is found

8 0

3 years ago