The first side of a triangle is 8 inches shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 38 inches. What is the length of the longest side.
PLEASE HELP ME I NEED IT NOW

Answers

Answer 1

Answer:

20

Step-by-step explanation:

Let  x   be the first side.

Since x  is 8 in. shorter than the second side, we know that we'd need to add 8 to x   to get the length of the second side. So the second side is  

x  +  8 .

The third side is 4 times the length of the first side, so the third side is  

4 x.

Perimeter is the sum of the sides, so:  

( x)+(x+8)+4x=6x+8  (The 6x+8 is just combining like terms from the left side)

We also know the perimeter is 38, so we have:

6 x +8 = 38

subtract 8:

6 x=30

divide:

x =5.

The three sides have length: 5,13 , and 20.

The longest side is 20 inches long.


Related Questions

Alonzo has a batting average of 0.325 and his best friend Archie has an average of 0.299. How much higher is Alonzo's batting average than Archie's average?
A. 0.026
B. 0.034
C. 0.174
D- 0.624

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation: 0.325 - 0.299 = 0.026


Picture provided pls solve

ZA and ZB are complementary angles. If mZA = (6x + 22)° and m
(7x + 16)°, then find the measure of ZB.
ZB=

Answers

If two angels are complementary, the equation would be

6x+22+7x+16=90

13x+38=90

13x=52

x=4

I hope this helps

x=

HELP ME PLS !!!!! HELP ME

Answers

Answer:

Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size

Step-by-step explanation:

Two angles are adjacent when they have a common side, a common vertex, and don't overlap.

The image shows the following angles are adjacent:

YVZ and YVX

YVZ and YVW

YVX and XVW

Furthermore, two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

The first, fourth, and fifth options are true as shown above, which discards as true the second option.

The only probable false option is that XVW and YVX are the same size. They certainly could be, but we have to evidence of that, thus this option is considered false.

Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size

Caculate the unit rate. A ball drops 160 feet in 4
seconds. How many feet dropped per second?

Answers

Answer:40ft/second

Step-by-step explanation:

Divide 160ft by 4sec to find the unit rate.

Answer:

40

Step-by-step explanation:

You would divide 160 by 4 to get the number of feet dropped in one second. 160 divided by 4 is 40

Hope this helps! Good luck :)

18 cm
30 cm
24 cm
cm
What is x

Answers

24cm is x. I think hope this helps

20 POINTS FOR AN EXPLANATION!!!

Answers

Answer:

Graph using a table of values.

x         y

−2║−7/3

−1║−5/3

 0║ −1

  1║−1/3

 2║1/3

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (32,0)

y-intercept(s): (0,−1)

Step-by-step explanation:

F(x)=2/3x-1

Answer:

Graph using a table of values.

x         y

−2║−7/3

−1║−5/3

0║ −1

 1║−1/3

2║1/3

Step-by-step explanation:


HELPP MEEE PLEASE SO YOU CAN HELP ME GET MY ALBUMS BACK AND POSTERS AND EVERYTHING

Answers

Answer:

C

Step-by-step explanation:

f(z) = 7 +9.5
for z = 19

Answers

Answer:

16.5

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

A class ordered six 8-slice pizzas. Each student ate 1 1/2 slices and no pizza was left over. How many students were there?

Answers

Answer:

There are 32 students.

Step-by-step explanation:

If there are six 8-slice pizzas, that means that there is 48 slices total. If each student ate 1 1/2 slices, you can divide 48 and 1.5, and you will get 32. That is the number of students in the class. Hope this helps!

12) Solve 5x - 9 = 2x + 6.

Answers

Answer:

x would equal 5.

help me answer please.​

Answers

Answer:

D. 112°

General Formulas and Concepts:

A line is always 180°.

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Set up equation

m∠ABD + m∠DBC = m∠ABC

(3x + 10) + (2x) = 180°

Step 2: Solve for x

Combine like terms:                    5x + 10 = 180Subtract 10 on both sides:          5x = 170Divide 5 on both sides:               x = 34

Step 3: Find m∠ABD

m∠ABD = 3x + 10

Substitute:               m∠ABD = 3(34) + 10Multiply:                   m∠ABD = 102 + 10Add:                         m∠ABD = 112°

y=4x-9

Graph from slope-inercept form

Answers

Answer:

Here is the graph for y = 4x-9

Step-by-step explanation:

Keep in mind this graph goes by intervals of 5 in order to picture the whole graph

find a ratio that equivalent to 3 to 8​

Answers

Answer:

6 to 8

Step-by-step explanation:

3 and 8 multiplied by two will give an equivalent ratio

The ratio shows how many times one value is contained in another value.

The ratios that are equivalent to 3 to 8 are:

9/24, 12/32, and 15/40.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

3:8

= 3/8

We can have many ratios that is equivalent to 3:8

9/24 = (3 x 3) / (3 x 8) = 3/8

12/32 = (4 x 3) / (4 x 8) = 3/8

15/40 = (5 x 3) / (5 x 8) = 3/8

Thus,

The ratios that are equivalent to 3 to 8 are:

9/24, 12/32, and 15/40.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2


A.2/3
B.-3/2
C.-2/3
D.3/2

Answers

Answer:

C. -2/3 is the answer hope this helps

2.Jo A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should be added to 1 cup of white paint? Explain how you know. 3/7 I know this because I did 7 divided by 3 which Was 2 ⅓ so then I did 1 times 2 ⅓ which is 2 . ⅓. What is the constant of proportionality? Explain how you know. 3/7 is the constant of proportionality.

Answers

Answer:

x = 3/7

Step-by-step explanation:

Red paint : White paint = 3 cups : 7 cups

How many cups of red paint should be added to 1 cup of white paint

Red paint : White paint = x cups : 1 cup

Equate the ratios

3 cups : 7 cups = x cups : 1 cup

3 / 7 = x / 1

Cross product

3 * 1 = 7 * x

3 = 7x

Divide both sides by 7

x = 3 / 7

Number of cups of cups of red paint that should be added to 1 cup of white paint is 3/7

I did this by representing the unknown number of cups of red paint with x and equating the two ratios

You deposit $300 in a savings account. The account earns 2.5% annual simple interest. What is the account balance after 2 years?

Answers

Answer:

15$ would be earned

Step-by-step explanation:

This is because 2.5% of 300 is 7.5 than multiply it by 2 and you get 15.

I need help with #6 & #7 !!

Answers

Answer:

6 is b, 7 is c

Step-by-step explanation:

Answer:

#6 wants you to find out what answer from the 4 expressions gives you the least or smallest number. For #7, you need to follow PEMDAS in order to get the right answer.

Step-by-step explanation:

#6, the answers you get are 8, -9, -3, and 9. You need to choose the smallest number. Negative numbers are smaller than positive numbers, so you can immediately eliminate 8 and 9. You have to be careful when comparing negative numbers because the larger negative number is actually smaller than the smaller negative number since it is further away from the zero. So, negative -9 would be smaller than -3 in this case.

#7, I would divide the -720/12 first. This results in -60. Then, divide the -60 by -10. This gives you an answer of positive 6.

ANSWERS:

#6 : B

#7 : C

How do you turn 17/20 into decimal

Answers

Answer:

Divide 17 by 20.

Step-by-step explanation:

Answer is 0.85.

Answer:

0.85

Step-by-step explanation:

[tex]\frac{17}{20} \\\\[/tex]

Through long division

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 20\overline{|\smallspace17}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\[/tex]

A line passes through the points (2, -1) and (9,3). What is the slope of the line?

Answers

Answer:

[tex] \huge{ \boxed{ \tt{ \frac{4}{7} }}}[/tex]

Step-by-step explanation:

Let the points be A and B

[tex] \sf{A(2 \: , - 1) \longrightarrow \: (x1 \:, y1)}[/tex]

[tex] \sf{B(9 \: ,3 \: ) \longrightarrow \: (x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: slope}}: [/tex]

[tex] \boxed{ \rm{Slope \: ( \: m \: ) \: = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \rm{Slope = \frac{3 - ( - 1)}{9 - 2} }[/tex]

[tex] \rm{Slope = \frac{3 + 1}{9 - 2}} [/tex]

[tex] \rm{Slope = \boxed{ \rm \frac{4}{7} }}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

ILL MARK BRAINLIEST!

Given the equation 3/4(x-5)=1/5x-5/6what LCM would you use to clear the fractions?

A.answer not given
B.120
C.24
D.30
E.240

Answers

Answer:

a

Step-by-step explanation:

the answer is 60 because it is the lcm

Pls I need the answer ​

Answers

Answer:

b

Step-by-step explanation:

slope isn't constant, but still increasing

what are the variable terms for 7k-8k?​

Answers

Answer:

k

Step-by-step explanation:

k is variable term for given expression

Enter the equation of the line in slope-intercept form. Slope is − 2/3 and (-9,5) is on the line. The equation of the line is y=?

Answers

Answer:

The equation is y = 2/3x - 1

Step-by-step explanation:

To build the equation, we know the slope is -2/3, so that is done for us already. Now we just need the y-intercept, which is -1, which is the only way to get it to cross the point (-9, 5). So, the equation would be y = 2/3x - 1, while still meeting all of the qualifications. I hope this helps, and I hope it's not right, but I do not think it is.

5χ= 140
Ο Α. x= 28
Ο Ο Ο
Ο Β. x= 135
Ο C. χ= 14
Ο D. x= 700

Answers

9514 1404 393

Answer:

  A.  x = 28

Step-by-step explanation:

Divide both sides of the equation by the coefficient of x.

  [tex]5x=140\\\\\dfrac{5x}{5}=\dfrac{140}{5}\\\\\boxed{x=28}[/tex]

five decreased by twice a number

PLS HELP PLS ASAP

Answers

Answer:

5-2x

i took this in my algebra class

the cost of dinner is 14.45 and you want to leave a 20% tip how much money do you need for dinner including the tip? ​

Answers

The answer is 17.34

Find the slope of the line passing through the pair of points. (−4, −5) and (5, 4) A. −1 B. 1 C. 9 D. −9

Answers

Answer: A. -1

Explanation: 4-5/5-4= -1/1 = -1

a water balloon was thrown from the window. The height of the water balloon over time can be modeled by the function y=-16square2+160x+50

Answers

The maximum height of the water balloon : 450 m

Further explanation  

Quadratic function is a function that has the term x²  

The quadratic function forms a parabolic curve  

The general formula is  

f (x) = ax² + bx + c  

where a, b, and c are real numbers and a ≠ 0.  

The parabolic curve can be opened up or down determined from the value of a. If a is positive, the parabolic curve opens up and has a minimum value. If a is negative, the parabolic curve opens down and has a maximum value  

So the maximum is if a <0 and the minimum if a> 0.  

The formula for finding the coordinates of the maximum and minimum points of the quadratic function is the same.  

The maximum / minimum point of the quadratic function is  

[tex]\rm -\dfrac{b}{2a},-\dfrac{D}{4a}[/tex]

Where  

D = b²-4ac  

The function h (t) = -16x²+160x+50

so the value of a <0, then it has a maximum value  

Because we are looking for maximum height, then we find the value of the y coordinate, with the formula  

[tex]\rm -\dfrac{D}{4a}[/tex]

Questions we might add :

What was the maximum height of the water balloon after it was thrown?

We can also use the first derivative of the above function to find the maximum value

[tex]\tt h'=0=-32x+160\\\\-32x=-160\\\\x=5[/tex]

input to function :

[tex]\tt h=-16x^2+160x+50\\\\h=-16(5^2)+160(5)+50\\\\h=-400+800+50=\boxed{\bold{450~m}}[/tex]

What is the piecewise function of h(6)

Answers

Answer:

we need more info

Step-by-step explanation:

We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value.

1. 1-8-7
Pls help me

Answers

Answer:

-14

Step-by-step explanation:

I did the math

-14 it’s a negative
Other Questions
Find xFind PFind QFind R a tiny house has a length of 25 feet. the width of the kitchen is 3 feet, and the width of the remain space is 12 feet. which expression represents the area of the tiny house? What is u + V + w when u = -10, v = 4, and w= 8? 14 -22 2 22 A bank is going to hire 5 new employees. There are 12 applicants. Which ratio represents the number of applicants to new employees? PLS HELP ME I WILL GIVE BRAINLYEST Josh purchased 8 cans of tennis balls. The cans came with 3 balls in each can. How many balls did Josh purchase? 2. You are attempting to convince an audience that animal testing is morally wrong. Convert the following from C to K: For example, 0C = 273 K, and -100C = 173 K. 50C 10C 17C -40C If samples of silver and lead each had volumes equal to 1 cm3, which sample would have the greater mass? What would the difference in the masses be? In the general assembly the Read and Answertry ur best :) PLS HELP WITH these TWO QUESTIONS Which scenario goes with the vocabulary word cubrir? (1 point)O Being in a dentist's chairO Blocking a sneeze from othersGoing to a pharmacyGraduating from medical school Select the correct text in the passage. Which sentence in this excerpt from Patrick Henry's famous "liberty or death" speech at the Second Virginia Convention in 1775 emphasizes the American colonists efforts to avoid war? Speech to the Second Virginia Convention by Patrick Henry (excerpt) Let us not, I beseech you, sir, deceive ourselves. Sir, we have done everything that could be done to avert the storm which is now coming on. We have petitioned; we have remonstrated; we have supplicated; we have prostrated ourselves before the throne, and have implored its interposition to arrest the tyrannical hands of the ministry and Parliament. Our petitions have been slighted; our remonstrances have produced additional violence and insult; our supplications have been disregarded; and we have been spurned, with contempt, from the foot of the throne! In vain, after these things, may we indulge the fond hope of peace and reconciliation. There is no longer any room for hope. If we wish to be free-if we mean to preserve inviolate those inestimable privileges for which we have been so long contending-if we mean not basely to abandon the noble struggle in which we have been so long engaged, and which we have pledged ourselves never to abandon until the glorious object of our contest shall be obtained-we must fight! I repeat it, sir, we must fight! An appeal to arms and to the God of hosts is all that is left us! Farmer Jim keeps 12 hens in every coop. If Farmer Jim has 20 coops, how many hens does he have in all? If every hen lays 9 eggs on Monday, how many eggs will Farmer Jim collect on Monday? Explain your reasoning using words, numbers, or pictures 1.Which of these best describes the author's attitude toward the deacon and the squire?The author thinks the men are petty and amusing.The author thinks the men are noble and courteous. The author thinks the men should be admired for their loyalty to tradition. The author thinks the men should be criticized for their childish impatience. A 12 volt battery is connected to two resistors in series. The first resistor has a resitance value of 5 Ohms and the current through the circuit is 1.5 Amps. What is the value of the second resistor? a. 9 Ohms b. 1.5 Ohms c. 5 Ohms d. 3 Ohms A company makes steel rods shaped like cylinders. Each rod has a diameter of 6 centimeters and a height of 40 centimeters. The company uses, on average, 48,607cm^3 of steel each hour to make these rods. How many rods does the company make, on average, each hour? Select the correct answer from the drop-down menu. Read the excerpt. Then complete the sentence about mood. The mood of this excerpt can best be described as . The Count of Monte Cristoby Alexander Dumas (adapted excerpt) The Cherokees supported the Edwards brothers in the Fredonian Revolt. Please select the best answer from the choices provided T Fpls hurry I'm timed