The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area
of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?

Answers

Answer 1

Answer:

Step-by-step explanation:

W = 4L-17

LW = 15

L(4L-17) = 15

4L^2-17L-15= 0

L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4

-3/4 is an extraneous solution

L = 5 cm

W = 4L-17 = 3 cm


Related Questions

2. Is APYT an acute, right, or obtuse triangle?
Т.
8 in.
12 in.
P
Y
6 in.

Answers

Answer:

OBTUSE

Step-by-step explanation:

We can determine this based on the the pythagorean theorem!

[tex]a^{2}+ b^2 = c^2[/tex]

With Pythagorean Theorem, c is the longest length in the triangle... So, if c = a squared plus b squared, then it is a right triangle! If c is less, it is acute, and finally, if C is more than the two - then it is obtuse!

So let's see...

[tex]8^{2} +6^2 ? 12^2\\64 + 36 ? 144\\100 < 144[/tex]

This is an OBTUSE triangle, since c adds up to be more than a and b.

#SpreadTheLove <3

Ally picked 25 roses. She gave away 10 roses. What percent of the roses does Ally still have?

Answers

Answer:

She still has 60%

Step-by-step explanation:

First you make the 25 a 100 which is basically multiply by 4 which you should do the same for 10

so 40/100 is how much she game away

She gave away 40%

She still has 60%

The percent of the roses does Ally still have is 60%.

Given that,

Ally picked 25 roses. She gave away 10 roses.

Based on the above information, the calculation is as follows:

[tex]= \frac{25-10}{25}[/tex]

= 60%

Learn more: brainly.com/question/17429689

The scale of a map is 1 cm : 75 km. What is the actual distance between two towns that are 5 cm apart on the map? The distance between the cities is ? km.​

Answers

The distance between the two towns is 225 km

how do I find 16% of 575

Answers

Answer:

92

Step-by-step explanation:

The easiest way for me to find any percentage of a number is to find what 1% is and then multiply by the % amount. So to answer this question I would do 575/100 which is 5.75 and this is 1% then multiply 5.75 by 16 to get 92 so a 16% of 575 is 92. (Double check to make sure I'm correct)

Write the following ratio using two other notations. to Use only the numbers above (not any others). Notation one: Notation two: 9 fration 8

Answers

Answer:

9:8 and 9 to 8

Step-by-step explanation:


Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 8?

Answers

Answer:

The function [tex]y = x[/tex] is shifted downwards by 8 units

Step-by-step explanation:

Given

[tex]y = x[/tex]

Required

Determine the transformation that gives: [tex]y = x-8[/tex]

When a function f(x) is shifted by b units, the new function g(x) is g(x) = f(x) - b

In this case:

[tex]y = x[/tex]

[tex]b = 8[/tex]

So, the new function is:

[tex]y = x - b[/tex]

Substitute 8 for b

[tex]y = x - 8[/tex]

Hence, the function is shifted 8 units downward

I subtract from it.The answer is 8

Answers

Answer:

To check your work, 8 + 8 is 16

Step-by-step explanation:

need bwainlist to maybe u can help out chika???

out of 75/6 is 72%. (Write as a fraction in simplest form.)

Answers

Answer:22%

Step-by-step explanation:

The simplest form of the total of 75/6 would be 432 / 7500.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100. Suppose the value of which a thing is expressed in percentage is "a' Suppose the percent that considered thing is of "a" is b%

Then the percent; per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Given that out of 75/6 is 72%.

Therefore, it will be written as;

x of 75/6 = 72%.

We need to find the value of total x.

x of 75/6 = 72%.

x × 75/6 = 72%

x × 75/6 = 72/100

Cross multiplication;

x = 72/100  ×  6/75

x = 432 / 7500

x = 0.0576

Hence, the simplest form of the total of 75/6 would be 432 / 7500.

Learn more about percentages;

brainly.com/question/24159063

#SPJ2

federal income tax, 4% for state income tax and 7.65% for Social Security and Medicare taxes, Calculate his net pay and how much he will pay in taves each paycheck. part A. Convert the annual pay to biweekly. part B how much money will he pay in taxes each paycheck? part C what is the net pay​

Answers

Answer:

what is taves

Step-by-step explanation:

El doble de la altura de un fresno en 3m mas alto que un pino de 5 m ¿Cuanto mide el fresno?

Answers

cuatro es la respuesta....espero eso ayude

which symbol will make the following statement true? |−27|_____ 19

Answers

Answer:

the greater than symbol(>)

Step-by-step explanation:

the absolute value of -27 is 27. 27>19

4) The length of a rectangle is 7 inches more than the width. The perimeter of the rectangle
is 178 inches. Find the width of the rectangle.

Answers

Answer:

41 inches

please mark brainliest

Step-by-step explanation:

l= 7+w

perimeter = 2(l+w) =2(7+w +w)= 2(7+2w)= 14+ 4w

178= 14+4w

4w =178-14= 164

w= 164/4 = 41 inches

find simple interest amount for 1000 for one year at 6%

Answers

Answer:

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Select the correct answer from each drop-down menu.

ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.

The length of side AB is____ units. The length of side BC is ____ units. The length of side AC is ____ units . <ABC=___​

Answers

i can answer this for you but how do u want the answer like is radical form, rounded to the nearest tenth? hundredth?

Answer:

The length of side AB is

(50)^1/2

units. The length of side BC is

(65)^1/2

units. The length of side AC is

(145)^1/2

units. ∠ABC ≈  

105.26°.

Help? I’ll give brainliest

Answers

9514 1404 393

Answer:

  10,466.7 in^3

Step-by-step explanation:

The volume of a cone is given by ...

  V = (1/3)πr^2·h

where r is the radius and h is the height. Using your numbers, we have ...

  V = (1/3)(3.14)(20 in)^2·(25 in) = 10,466.7 in^3

_____

A more accurate value of π will give a different result.

Starlin's goal is to spend less than $415 on a trip. So far, he has spent $25 on gas for his car. He will spend $100 each day on other expenses.

Let d represent the number of days for Starlin's trip.

Starlin's trip must last fewer than __ days.

Answers

Answer

Less than or equal to 4 days.

Step-by-step explanation:

Let D represent the number of days for Starlin's trip.  We know that Starlin has spent $25 on gas and will spend $100 for each day. So use the equation d=25+100d < 415. (We also know that Starlin plans on spending less than $415 on the trip, so if anything is above $415, we know it is the wrong answer.) Subtract 25 on both sides and then divide by 100; the equation should go like this:

25 + 100d < 415

25 + 100d - 25 < 415 - 25

100d < 390

d < 3.9

It would be wise to round to 4 unless otherwise specified.

WILL MARK BRAINLIEST!!

solve for all values of x.
pls show some work (not all is necessary, but appreciated)

if both problems are done, i’ll mark you the brainliest:)
and i hope you have an amazing day

Answers

15/10 = 18-x/x is the ratio of the larger to the smaller triangle

Cross multiply:
15x = 10(18 - x)
15x = 180 - 10x
25x = 180
x = 7.2

Plug back in to check
15/10 = 1.5

18-7.2/7.2 = 10.8/7.2 = 1.5 :)

Why is the diameter the longest chord

Answers

The diameter of a circle is considered to be the longest chord because it joins to points on the circumference of a circle.

What is the quotient of 6.16 divided
by 1.1?

Answers

Answer:

5.6

Step-by-step explanation:

WHAT IF? The elevation of a dolphin is -1/10 kilometer. Which of the sea creatures are deeper than the dolphin? (Convert the fractions to decimals.)
Anglerfish = -13/10
Squid = -2 1/5
Shark = -2/11
Whale = -0.8

Answers

Answer:

bapak kau belajarnshsjajajaka

Which of the expressions below are equal to 5x + 20y? Select all that apply.
A) 5(x + 4y)
B) 3x + 12y + 2x + 8y
C) 3x + 10y + 3x + 8y
D) 2x + 15y + 2x + 5y


Help plzzz

Answers

The correct answers are A and B.
Hope this helps!
A & B are the correct answers

16x-8-14x=10 show work

Answers

Answer:

x=9

Step-by-step explanation:

Original equation: 16x-8-14x=10

Combine like terms: 2x-8=10

Add 8 to both sides: 2x=18

Divide by 2 on both sides: x=9

Let me know if this helps!

Answer:

x=9

Step-by-step explanation:

16x-8-14x=10

16x+-8+-14x=10

(16x+-14x)+(-8)=10 ( Combine like terms)

2x-8=10

Add 8 to both sides

2x-8=10

+8 +8

2x=18

Divide both sides by 2

2x=18/2

x=9

What is 12% of 507
OA. 6
OB.
7
O c.
10
OD
12

Answers

10 and I know this because I just looked it up hopefully you have a great rest of ur day

Cuanto es 69 dividido entre 87647​

Answers

I think it’s 1,270.246376811594 :)

What absolute value represents a number greater than |0.37|

A: |-0.38|

B: |-0.35|

C: |-0.37|

D: |-0.39|

No wrong answers!

Answers

it’s going to be A and D

Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box

Answers

The answer would be 13.7

Find the value of x.
4
X
25
10
x = [?]

Answers

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10/4 x 25/x

Cross multiply and it will give you 100/10x

Divide and get 10

Solve 4/3a+1/3a^2=1/3a

Answers

Answer:

A = 0 or -3

Step-by-step explanation:

You can confirm that by plugging in the numbers yourself :)

Question
Find the equation of a line that contains the points (0, -6) and (-2,-5).

Answers

Answer:

01.4

Step-by-step explanation:

Hank cut his pizzainto 10 pieces and ate 6 of the pieces.Rose cut her pizza into 5 pieces and ate the same amount as hankShow this on a drawing​

Answers

Answer:

well you would have to draw two pizzas or circles

Step-by-step explanation:

what you would to is draw lines to separate one of them into 10 peices and the other one into 5. You can shade in the 6 peices Hank ate and then shade the same amount of pizza on Roses. Hope this helped!

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