The perimeter of a triangle is 53 in. The shortest side is 10 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.

Answers

Answer 1

9514 1404 393

Answer:

shortest: 13 inmiddle: 17 inlongest: 23 in

Step-by-step explanation:

Let s represent the shortest side. Then the longest side is (s+10) and the middle side is (s+(s+10)-19). The perimeter is the sum of the sides.

  s + (2s-9) +(s+10) = 53

  4s +1 = 53

  s = (53 -1)/4 = 13

The side lengths are ...

shortest: 13 inmiddle: 17 inlongest: 23 in

Related Questions

14 yd 2 ft + 9 yd 2 ft

Answers

Answer:

24yd 1ft

Step-by-step explanation:

14+9 = 23

2+2 = 4

1yd = 3ft

4ft = 1yd 1ft

Answer:

14 yd 2 ft + 9 yd 2 ft = 73 feet

hope this helps

Carly spent $150 on supplies and $125 on labor for her home. She could not spend more than $500 total. Which of these is a valid statement?

Answers

Answer:

she could spend up to $225 on more supplies

Step-by-step explanation:

the total amount of supplies and labor has to be less than or equal to $500. If she spent $150 and $125=$275 on supplies and labor, the equation would be 150+125+x≤ 500. Isolate x, to get x≤ $225. The value of x has to be less than or equal to $225.

left parenthesis negative 2 minus 4 right parenthesis plus left parenthesis 5 minus 10 right parenthesis minus 6 left parenthesis 3 right parenthesis

Answers

Answer:-29

Step-by-step explanation:

(-2-4)+(5-10)-6(3)

-6+-5-18

9.
Write the equation of the parabola in vertex form.



A. y = (x – 2)^2 + 4

B. y = x^2 – 4

C. y = (x – 2)^2

D. y = (x – 4)^2 – 4

Answers

Answer:   The Answer Is NOT Letter A

C. y = (x – 2)^2  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 0 )  =Already in vertex form.   y = ( x − 2 ) ^2

Step-by-step explanation:  I used math.way

A. y = (x – 2)^2 + 4  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 4 )  =Already in vertex form.   y = ( x − 2 ) ^2 + 4

B. y = x^2 – 4  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , − 4 )  =Find the vertex form.   y = ( x + 0 ) ^2 − 4

C. y = (x – 2)^2  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 0 )  =Already in vertex form.   y = ( x − 2 ) ^2

D. y = (x – 4)^2 – 4  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 4 , − 4 )  =Already in vertex form.   y = ( x − 4 ) 2 − 4

Describe a situation that could be represented
by 8

Answers

One student scored 92 percent in his math class. Another scored 100 percent in the same class.

By how much did the other student score higher than the first?

⇒ 8%

I hope this helps!

Plz help I need help

Answers

Answer :

x + 23 = -22

x = ?

x = -22 - 23

x = - ( 22 + 23 )

x = -45

x = -45 ✔️

Answer:

x - 23 = -22

x= -45

Step-by-step explanation:

x - 23 = -22

x = -22 - 23

x = -(22+23)

x = -45

30/80=e/40 what is the answer?

Answers

Answer:

15

Step-by-step explanation:

If 18 plums weigh 54 ounces, then 6 plums weigh how many
ounces?

Answers

Answer:

18

Hope this helps :) Please mark this brainiest?

Step-by-step explanation:

18/6=3

54/3=18

Answer:

18 ounces

Step-by-step explanation:

I think this is right because if you take 18 and divide it by 3 it equals 6 so i divided 54 by 3 and got 18 ounces hope this helps

<3

Answer this question fast pls

Answers

Answer:

Lemons ( 27 ) = Cups ( 9 )

Cups ( 50) = Lemons (30)

Area of a circle
You might need:
Calculator
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 for it and enter your answer as a decimal.
T = 1
units

Answers

Answer:

If the radius is 1, then the answer is pi.

Radius=r=1

Area

πr²π(1)²1ππ3.14 units²

I need the answer ASAP please, 415 divided by 5

Answers

Answer:

83

Step-by-step explanation:

415/5

= 83

415 divided by 5 is 83.

The weight of an object on the moon is
1 of its weight on Earth. If a moon rock
weighs 20 lb on Earth, how much did
the moon rock weigh on the moon?

Answers

Answer:

10 lb on planet earth which turns very slowly

Answer:

10 pounds on planet earth which turns very slowly

Step-by-step explanation:

I REALLY NEED HELP CAN SOMEBODY PLZZZ HELP MEEEE

Answers

The mystery divisor is 18. I figured it out by dividing 4050 by 225.

pls help the will mean the world

Answers

Answer:

A: the area of the walls that are being painted

C: the cost per gallon of different paints

F: the number of square feet that can be painted per gallon of paint

Step-by-step explanation:


[tex]1 - 25x {}^{2} [/tex]
what's the answer po?

Answers

Solution:

[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]

Answer:

(1 - 5x)(1 + 5x)

Hope it helps.

Do comment if you have any query.

pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?

Answers

Answer:

18 pocket folders

Step-by-step explanation:

divide 7.02 by .39

help extremely quick plsssssssssssssssssssssssssssssssssss
Select all the expressions that have a value of 180 when b = 4.
A. 87b - 179 + 957 ÷87
B. 33b/12
C. b² + 120
D. 51b - 24
E. 11b + 187 - 2,756 ÷ 13

Answers

Answer:

A and E

Step-by-step explanation:

What is a common denominator for 1 3/4 and 1 4/5

Answers

Answer:

20

Step-by-step explanation:

A common denominator is a number that is a multiple of both denominators.

To find it just write the multiplication table of the numbers and find a number that appears in both of them.

In this case, we have 4 and 5:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.

[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]

In a right triangle, the measures of the legs are 8 and x + 6,
and the measure of the hypotenuse is x + 8. Find the value of x.

Answers

See the attached image for the steps.

x = 9.

Identities used :-

(a + b)² = a² + 2ab + b²

Theory used :-

Pythagorean theorem (Hypotenuse² = Base² + Altitude²).

______

RainbowSalt2222 ☔

A recipe for 24 cookies requires112 cups of sugar. If Ben wants to make 36 cookies, how much sugar does he need?

Answers

Answer:

168 cups of sugar

Step-by-step explanation:

36 cookies require you to use what the recipes calls for plus one half.

112 divided by two is 56

112 + 56 = 168 cups

I hope that this helps!

For this case we have the following data:

24 cookies require 1 1/2 cups of sugar. To know the amount of sugar that is required to make 36 cookies, we make a rule of three:

24 -----------> 1 1/2

36 -----------> x

Where x represents the amount of sugar required to make 36 cookies.

Thus,   cups of sugar are required to make 36 cookies.

Unit #2 - Lesson #13 Exit Ticket: A tour company for large groups charges a one time fee of $200 plus an
additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let
n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers
of people who can go on the tour to make it profitable.

Answers

Answer:

200+25n>1650

Step-by-step explanation:

200 is the one time fee

25n for $25 per person

> because they must make more than 1650 to be profitable

7x when x=3
Please help

Answers

Answer:

21

Step-by-step explanation:

7x, x=3. Plug x in as 3. 7x3=21.

It would be 21 because when two numbers are next to each other it means multiplication when 7x is given and x is 3 it would be 7 x 3 = 21

The initial population of a town is 3500, and it grows with a doubling time of 10 years. What will the population be in 8 years?

Answers

Answer:

8 years = 5600

Step-by-step explanation:

10 years = 3500x2= 7000

1 year = 7000/10 = 700

1 year = 700

8 years = 700x8 = 5600

sarah hanged 12/9 Ornaments on the christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

Answers

Answer:

12/9+3 4/3 = 5 2/3 or 17/3

Step-by-step explanation:

Answer:

its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.

Step-by-step explanation:

Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

Can someone please help me

Answers

Answer:

question 10

14×50= 700 pages

soooooooooooooooooooooooo who wants to help with mah math

Answers

Answer:

t = c · (3.5)  

Step-by-step explanation:

The rate of change is 3.5.

So it takes three and a half mins to make one plane

So 3.5 times the number of planes equals the total time it takes to make them.

I really hope this helps!

For a project in her Geometry class, Kylie uses a mirror on the ground to measure the
height of her school's flagpole. She walks a distance of 14.25 meters from the flagpole,
then places a mirror on flat on the ground, marked with an X at the center. She then
steps 1.35 meters to the other side of the mirror, until she can see the top of the
flagpole clearly marked in the X. Her partner measures the distance from her eyes to
the ground to be 1.25 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.

Answers

The project in her Geometric class is an illustration of equivalent ratios

The approximated height of the flagpole is 13.19 meters

The given parameters are:

Distance from flagpole (D) = 14.25

Distance to the other side of the mirror (d) = 1.35

Kylie's height (h) = 1.25

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios

[tex]\mathbf{D :d = H :h}[/tex]

Substitute known values

[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]

Express as fraction

[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]

Multiply both sides by 1.25

[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]

Multiply

[tex]\mathbf{H = 13.19 }[/tex]

Hence, the approximated height of the flagpole is 13.19 meters

Read more about equivalent ratios at:

https://brainly.com/question/18441891

Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans

Answers

Answer:

I will say %39.56 for 7 pairs because you'll have 7 pair of jeans so you don't have to buy more if some of your jeans rips or something happens so yeah.

Answer:

$39.55 for 7 pairs of jeans

Step-by-step explanation:

The LCM of 7 and 4 is 28, so I decided to use that as an example.

4×7=28

22.48×8=179.84

So if you wanted 28 jeans, you'd be paying $179.84

- - - - -

Now the first deal.

7×4=28

39.55×4=158.2

For 28 jeans, you'd be paying $158.20

For 28 jeans, the first choice offers a better deal than the other.

Mind you, I know the word problem isnt about 28 jeans. But since 28 was the LCM of 4 and 7, I decided to use it as an example

A study was conducted that measured the total brain volume (TBV) (in) of patients that had
schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal
patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009." 2013). Is
there enough evidence to show that the patients with schizophrenia have less TBV on average than a
patient that is considered normal? Test at the 10% level.
Table #9.3.5: Total Brain Volume (in ) of Normal Patients
1663407 1583940 1299470 1535137 1431890 1578698
1453510 1650348 1288971 1366346 1326402 1503005
1474790 1317156 1441045 1463498 1650207 1523045
1441636 1432033 1420416 1480171
1360810 1410213
1574808 1502702 1203344 1319737 1688990 1292641
1512571 1635918
Table #9.3.6: Total Brain Volume (in) of Schizophrenia Patients
1331777 1487886 1066075 1297327 1499983 1861991
1368378 1476891 1443775 1337827 1658258 1588132
1690182 1569413 1177002 1387893 1483763 1688950
1563593 1317885 1420249 1363859 1238979 1286638
1325525 1588573 1476254 1648209 1354054 1354649

Answers

Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a  patient that is considered normal, that is, the subtraction is not negative, hence:

[tex]H_0: \mu_S - \mu_N \geq 0[/tex]

At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:

[tex]H_1: \mu_S - \mu_N < 0[/tex]

Regarding each sample, the mean and standard deviation are found using a calculator.

[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]

[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]

We have the standard deviation for each sample, hence, the t-distribution will be used.

The standard errors are given by:

[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]

[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]

The distribution of the difference has mean and standard error given by:

[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]

[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

In which [tex]\mu[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]

[tex]t = -0.47[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]

Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

A similar problem is given at https://brainly.com/question/13873630

Use the given transformation to evaluate the integral

∫R(15x+10y)dA, where R is the parallelogram with vertices (-3, 12), (3, -12), (6, -9), and (0, 15); x=1/5(u+v), y=1/5(v−4u).

Answers

Answer:

Step-by-step explanation:

I hate you

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