In a triangle the longest side is 3 inches longer than twice the shortest side. The third side is 2 inches less than twice the shortest side. If the perimeter of the triangle is 61 inches, which equation should be used to find the length of the shortest side, s?

Answers

Answer 1

Answer:

your face

Step-by-step explanation:

:)

Answer 2

Let's let A, B, C represent the sides of the triangle from shortest to longest, then:

A = ?

B = A + 2

C = A + 3

To find the perimeter we add all the sides p = A + B + C, and based on the problem

p = A + B + C

26  = A + (A + 2) + (A+3)

26 = 3A + 5

21 = 3A

7 = A

Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:

A = 7

B = 7 + 2 = 9

C = 7 + 3 = 10

The lengths  of the sides are 7 in, 9 in, and 10 in.

May I get brainliest please? :)


Related Questions

The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yearly salaries can be explained by differences in the employees’ ages? 31.7% 63.3% 15.8% 40.1%

Answers

Answer:

The answer is 40.1%

Step-by-step explanation:

I just took the test

The variation in the yearly salaries can be explained by the differences in employee ages up to 40.1%.

When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:

= (Correlation coefficient)² x 100%

= 0.633² x 100%

= 0.4007 x 100%

= 40.1%

In conclusion, 40.1% of the variation in salary can be explained by age.

Find out more at https://brainly.com/question/3560028.

a square patio has an area of 200 square ft. how long is each side of the patio to the nearest foot? please answer quickly! will give brainliest.

Answers

Answer:

100

Step-by-step explanation:

cause they its 100

Answer:

14 feet

Step-by-step explanation:

Use the square area formula, A = s², where s is the side length

Plug in the area and solve for s:

A = s²

200 = s²

14 = s

So, each side of the patio is 14 feet

Owen’s parents were planning a birthday party for him. They have $20.00 to spend on goodie bags. They need to buy 6 goodie bags at $2.49 each. Will Owen’s parents have enough money to buy all 6 goodie bags? I HAVE TO SHOW MY WORK

Answers

Answer:

Yes, they can buy all the bags.

Step-by-step explanation:

Owen's parents need to buy 6 bags for $2.49 each.

So, we need to calculate the total price:

$2.49 * 6 = $14.94

Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00

Hope this helps!

Answer:

They will have enough money to spend on 6 goodie bags

Step-by-step explanation:

First, you need to mutiply $2.49 × 6 and then you get 14.94

then you need to subtract $20.00 - 14.94 to get $5.06

so your answer should be,  ¨Owen´s parents will have $5.06 left after spending $14.94 of their $20.00 on goodie bags¨

Which expression is equivalent to pq ?

P + q

P - q

P/q

qp

Answers

Answer: qp



They are the same just change positions

Answer:

qp

Step-by-step explanation:

pq = p * q

In multiplication like this, the order doesn't matter:

5 * 3 = 15

3 * 5 = 15

2 * 9 = 18

9 * 2 = 18

Thus,

pq = p * q = q * p = qp

Answer: qp

1
=
Using two pieces of data from the table below, write the equation of a line in slope-intercept form.
-4
0
4
8
12
29
28
27
26
25
A. y = 4x - 28
B. y = - 4x + 28
OC. y= 3x-28
OD. y=x+28

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table

m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, 28 ) ⇒ c = 28

y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D

Find the value of n-7 when n=17.

Answers

Answer:

10

Step-by-step explanation:

17-7=10

Answer:

10

Step-by-step explanation:

f(x) = n - 7

f(17) = 17 - 7

f(17) = 10

You are creating identical coupon booklets to sell for a fundraiser. You have 40 dry-cleaning coupons, 24 coupons for a local restaurant, and 31 movie theater coupons. 5b) You find one additional movie theater coupon. What is the greatest number of identical coupon booklets you can make?

Answers

Answer:

if you're trying to make it with one of each kind in each booklet the answer is 24

combining like terms with negative coefficients
4x+5y-6xy-7x-8y-9xy?

Answers

-3x-3y-15xy .............

The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine which submarine has the greater range of depths.

Submarine A Submarine B
Minimum Depth −146 ft −194 ft
Maximum Depth −532 ft −621 ft

Answers

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

The diagram below shows
two similar
similar rectangles.
Find the perimeter of the
combined figure.
5 cm
13 cm​

Answers

Answer:

Perimeter of 1st rectangle=20cm

Perimeter of 2nd rectangle=52cm

1 over 14 to the power of negative 1

Answers

Answer:

14

Step-by-step explanation:

Answer:

1/14^-1 is the same as 14/1^1

thus the answer is 14

the rule used states that a over b power negative 1 is equivalent to b over a power one

Solve for s.
8-45 5+13

Answers

where is the s in here though

Please Help!! 10 Points! Brainliest Answer

Answers

The correct answer is D because you already have one side and one angle that are equal so you need one more side

please answer this question for geometry

Answers

Answer:

D is the correct answer in 95% sure :)

What is the length of the diagonal, d, of the rectangular prism shown below?
Round your answer to the nearest tenth - my god someone please help I’ve been up all night and just need sleep :(

Answers

Step-by-step explanation:

using Pythagoras theorem

d}^{2} =4}^{2+7}^{2}

d}^{2}=16+49

d}^{2}=65

d}^{2}=√65

[tex] \sqrt{d } ^{2} = \sqrt{65} [/tex]

d=8.06 or 8

can anyone help? i’ll mark brainliest

Answers

|4x + 4| = 15

First, let's get rid of the absolute value signs to get the first solution.

4x + 4 = 15

Subtract 4 from both sides

4x = 11

Divide each side by 4

x = 11/4 or 2.75

Now, let's get the solution by changing 15 to -15.

4x + 4 = -15

Subtract 4 from both sides

4x = -19

Divide both sides by 4

x = -19/4 or -4.75


Can someone help me with this please

Answers

Answer:

1

Step-by-step explanation:

[tex]11 {x}^{2} = 1 \times 11 \times x \times x \\ 4 {a}^{3} = 1 \times 2 \times 2 \times a\times a \times a \\ common \: factor = 1 \\ \therefore \: GCF \: of \: 11 {x}^{2} \: and \: 4 {a}^{2} = 1[/tex]

An engine uses 2.25 gallons of gas per hour. How many gallons will it use in 3.2 hours?

Answers

Answer:

7.2 gallons

Step-by-step explanation:

2.25 x 3.2 = 7.2

Answer:

7.2

Step-by-step explanation: :>

Eric put money into an account that earns interest each year. The expression 200 (1.05)t models the amount of money he has in the account after t years. What does 200 represent

Answers

200 represents how much money was Initially put into the account

(25 X 43) + (25 x 57) =​

Answers

Answer:

2500

Step-by-step explanation:

Step 1:

( 25 × 43 ) + ( 25 × 57 )

Step 2:

1075 + 1425

Answer:

2500

Hope This Helps :)

1/3(1 - 1/4) to the second power?

Answers

Answer:

0.1875

Step-by-step explanation:

82161616-61 is the egagbwba

What is the value of n in the proportion below?
4
12
ОООО

Answers

The value of N is 16 which means n=16.

A candy factory has 2 machines that make pieces of candy. Machine A makes 984 pieces of candy
every 6 hours. Machine B makes 1,296 pieces of candy every 8 hours.
Which statement best compares the machines?
Machine B makes candy faster than machine A because machine B made more candy.
Machine A makes candy faster than machine B because machine A took less time.
Machine B makes candy faster than machine A because machine B made more pieces of
candy per hour.
Machine A makes candy faster than machine B because machine A made more pieces of
candy per hour.

Answers

It would be D final answer there’s 2 machines for A so it’s easily over 1800+ candy therefore we can conclude that machine A is faster

Which of the following is equivalent to the given equation 7x2 = 98x - 343
a
(x+4)(x-3)
(x-7)
b
(x-6)(x+7)
d

Answers

Answer:

(x-7)

Step-by-step explanation:

i guessed and got it right

4) How many km in
58,795cm?


Please help thanks!!

Answers

Step-by-step explanation:

1 km is equal to 100,000 cm.

58,795 is close to 50,000, which is half of 100,000. So our estimate would be 1/2 km to 50,000 cm.

Convert 58,795 to a decimal.

0.58795

The decimal cannot be simplified so there is

0.58795 km in 58,795 cm

Hope it helps!

Given the graph below, which of the following statements is true?
Ту
5
4
3
1 2
The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all X-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with
multileve

Answers

Answer:

it’s d on edg

Step-by-step explanation:

The equation which represents the graphed function is; y = (-1/3)x + 3

What is Equation of a line?

The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.

here, we have,

By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.

Additionally, the slope of the line can be evaluated by considering the two points given;

Slope, m = (2-3)/(3-0)

Slope, m = -1/3

Hence, the equation of the line is;

y = (-1/3)x + 3

Read more on equation of a line;

brainly.com/question/13763238

#SPJ7

Find the distance between the points with the coordinates shown.
(-8,5) and (7,-3)

Answers

Answer:

17

Step-by-step explanation:

I need help with this one

Answers

Answer:

look it up

Step-by-step explanation:

-2(-3)^3
-2(-3^3)
2 x 27
54
y=54

But I got undefined for the last one

Solve the literal equation cy−7=5d+3y for y.

y=

Answers

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

2(y + 5) = 18 - 12
2y + 10 = 18 - 12
2y + 10 = 6
- 10 -10
2
22
y = -2
What is the name of this method ?

Answers

Answer:

Distributive property

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