MATHEMATICS HIGH SCHOOL

In the first year of ownership, a new car can lose 20% of its value. If a car lost $4,200 of value in the first year how much did the car originally cost?

Answers

Answer 1

Answer:

Original cost of the car is $21,000.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

A new car lose 20% of its value.

In first year, A car lost $4,200 of the value.

Now, Let original price of car = $x

Then, By the given condition;

20% of x = $4,200

Solve for x;

20/100 of x = 4,200

20/100 × x = 4,200

1/5 × x = 4,200

x = 5 × 4,200

x = 21,000

Thus, Original cost of the car is $21,000.

Learn more about the percentage visit:

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Answer 2

Answer: Using the (is/of = %/100) 4,200 is 20% of x. 4200/x = 20/100. Cross multiply and divide and you should get $21,000

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Answers

The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)^x and f(5) = 972.

The 5 that is found inside the function has a significant meaning.
It represents the population of a species of rabbit every year. It substitutes the variable x.

What is 120 increased 55%

Answers

Answer: 186

Explanation: 120*1.55=186

you do 120 add to 55% is like 120 times .55 is 66 add to 120 is 186

20 POINTS FOR 3 QUESTIONS!!!!Given: ∆ABC, AB = BC, m∠1<90°

Perimeter of ∆ABC = 25

Difference between the two sides is 4

Find: AB, BC, AC

List the sides of ΔRST in in ascending order (shortest to longest) if:

m∠R = 3x+42°, m∠S = 4x−11°, and m∠T = x+13°

List the sides of ΔRST in in ascending order (shortest to longest) if:

m∠R = 2x+11°, m∠S = 3x+23°, and m∠T = x+42°

Answers

Answer with Step-by-step explanation:

1.In triangle ABC

AB=BC

Let AB=BC=x and AC=y

Perimeter of triangle ABC=25

$x+x+y=25$

$2x+y=25$ ...(1)

$x-y=4$ ...(2)

Adding equation (1) and (2)

$3x=29$

$x=(29)/(3)=9.67$

Substitute x=9.67 in equation (2)

$9.67-y=4$

$y=9.67-4=5.67$

$AB=BC=9.67$

$AC=5.67$

2. $m\angle R=2x+11$

$m\angle S=3x+23$

$m\angle T=x+42$

$m\angle R+m\angle S+m\angle T=180^(\circ)$

By using triangle angle sum property

Substitute the values then we get

$3x+42+4x-11+x+13=180$

$8x+44=180$

$8x=180-44=136$

$x=(136)/(8)=17$

Substitute the value

$m\angle R=3(17)+42=93^(\circ)$

$m\angle S=4(17)-11=57^(\circ)$

$m\angle T=17+13=30^(\circ)$

$m\angle R>m\angle S$

$m\angle S>m\angle T$

$ST>RT$ (Side ST is opposite to angle R, Side RT is opposite to angle S

$RT>RS$ (side RS is opposite to angle T)

When a>b

Then , opposite side of a> opposite side of b

RS<RT<ST

3. $m\angle R=2x+11$

$m\angle S=3x+23$

$\angle T=x+42$

$m\angle R+m\angle S+m\angle T=180^(\circ)$

By using triangle angle sum property

Substitute the values then we get

$2x+11+3x+23+x+42=180$

$6x+76=180$

$6x=180-76$

$6x=104$

$x=(104)/(6)=17.3$

Substitute the value

$m\angle R=2(17.3)+11=45.6$

$m\angle S=3(17.3)+23=74.9$

$m\angle T=17.3=42=59.3$

$m\angle S>m\angle T$

$m\angle T>m\angle R$

RT>RS

RS>ST

ST<RS<RT

Which of these is not part of an algebraic equation? A
an inequality sign
B
an expression
C
an equal sign
D
a variable

Answers

Answer:

A-an inequality sign

Step-by-step explanation:

inequality sign: greater then, less than, equal to.

expression: 2x + 3 no equal sign

equal sign: =

Variable: a letter in the equation such as n x 6=?

Hope this is correct.

The slope of the line whose equation is 5 x - 3 y = 4 is
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Answers

The slope-intercept form: y = mx + b

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b - y-intercept

We have:

$5x-3y=4\qquad|\text{subtract 5x from both sides}\n\n-3y=-5x+4\qquad|\text{divide both sides by (-3)}\n\ny=(5)/(3)x-(4)/(3)$

Answer: 5/3

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Answers

Just round it off to the nearest ten or five, like 30*45.Or, round them both to the nearest ten, like 30*40.But, the first one is more accurate.

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