The length of a rectangle is 10 more than the width. If the
area is 24 square inches, what are the dimensions?

Answers

Answer 1

Answer:

Dimensions : L = 12 inches, Width = 2 inches

Step-by-step explanation:

Let width be w

Let length be w + 10

Area = length x width

24 = w x (w + 10)

[tex]24 = w^2 + 10w\\\\w^2 + 10w - 24 = 0\\\\w^2 +12w -2w -24 = 0\\\\w(w+12) -2(w+12) = 0\\(w-2)(w+12)=0 \\w = 2 , -12[/tex]

Since width is a side of a rectangle , it cannot be negative. so w = 2 inches .

Therefore , length = w + 10 = 12inches


Related Questions

Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week. Part A Drag numbers to complete the table to show the number of miles each girl has walked after each week. Numbers may be used once, more than once, or not at all. 5638907848426658 Name Start Week 1 Week 2 Week 3 Week 4 Week 5 Trish 68 88 Aria 30 54 Part B After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks

Answers

Answer:

4 weeks

Step-by-step explanation:C. 5 weeks 90+48 138

88+40 138

Step-by-step explanation:

s

Suppose a basketball player is an excellent free throw shooter and makes 90% of his free throws (i.e., he has a 90% chance of making a single free throw). Assume that free throw shots are independent of one another. Find the probability that the player misses three consecutive free throws. 0.729 0.271 0.001 0.999

Answers

Answer:

The answer is "0.001 ".

Step-by-step explanation:

In this question, the shot value is missing So its solution can be defined a follows:

let

shot value= 3

The chances of missing a free takeoff [tex]= 1- 0.90 = 0.1[/tex]

All three free throws are probably gone[tex]= 0.1^3 = 0.001[/tex]

3. Given the bar chart below,
(a) draw a frequency table from the graph.
(b) calculate the mean mark.
(c) what is the modal mark?
(d) find the median mark.
(e) if a student is selected at random, what is the probability that he/she scored
not less than 3 marks?
7
Frequent
п
0
-
0
3
5
N
6
6
Marks​

Answers

Answer: shehshywhwyw

Step-by-step explanation:

please help:) thank you

Answers

The answer is slope

HELP NEEDED!! QUESTION BELOW

Answers

Answer:

A

Step-by-step explanation:

The values will increase because the multiplier is greater than 1 (1.05).

A food company puts exactly 10 sliced carrots in each bag of frozen vegetables. Let b represent the number of bags of frozen vegetables and c represent the total number of sliced carrots. The table shows the relationship between b and c. Which equation below represents the relationship between b and c?

Answers

Answer:

c = 10*b

Step-by-step explanation:

We know that in each bag, we have exactly 10 sliced carrots.

so if b represents the number of bags, and c the number of sliced carrots, for each one of the b bags we will have 10 sliced carrots, then for b bags, we have b times 10 carrots:

c = 10*b

So for example, if we have one bag, b = 1

c = 10*1 = 10

So in one bag, there are 10 carrots.

if instead, we have 3 bags, b = 3

c = 10*3 = 30

in 3 bags we have 30 carrots.

Then the equation that represents the relationship between b and c is:

c = 10*b

or

b = c/10

what is the value of the function when X equals four? on a coordinate plane.

Answers

Solution :

From the given graph the x-intercept is 2 and y-intercept is -1 .

So, equation of line in intercept form is :

[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]

[tex]y = \dfrac{x-2}{2}[/tex]

Now, putting x = 4 in above equation, we get :

[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]

Therefore, the value of function at x =4 is 1 .

Every given minute an ameba is equally likely to do one of 3 things: (1) Die (2) Divide into two (3) Stay the same. If the ameba divides, each of the two cells will continue the above cycle independently. What is the probability that the ameba colony generated from a single cell will eventually die out.

Required:
What is the probability that the ameba colony generated from a single cell will eventually die out?

Answers

Answer:

1

Step-by-step explanation:

we have the probability of dyng = 1.3

we have probability of ying =

p0 = p1 = p2 = p3 = 1/3

d = dying

[tex]d=\frac{1}{3} (1+d+d2)[/tex]

we cross multiply from here

3d = 1+d+d2

3d-d = 1+d2

2d = 1 + d2

(d-1)2 = 0

2d - 2 = 0

2d = 2

divide through by 2

d = 1

therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.

does anyone know the answer to this i need help really bad!!!

Answers

Step-by-step explanation:

1/20.5 is yr ans

stay safe healthy and happy...

Plz help me well mark brainliest if correct

Answers

Answer:

387 is the answar because number of milk sold on monday is 212 and in tuesday 175

212+175=387

Answer:

387

Step-by-step explanation:

The addition of milk sold on monday with milk sold on tuesday

which is

212+175=387

Solve.

(3- y) (2 y– 9)=0

(If there is more than one solution, separate them with commas.)

Answers

Answer:

3 , 9/2

Step-by-step explanation:

(3- y) (2 y– 9)=0

y=3 , y= 9/2

hope this helps! feel free to clarify



You are the manager of a movie theater, and you are
analyzing attendance data from last weekend. On
Friday evening, 285 people come to see a new
animated movie. On Saturday evening, 355 people
come to see the same movie.
What is the approximate percent increase in
attendance?


Answers

Answer:

total number of people on Friday = 285

total number of people on Saturday = 355

total increment = 355-285 = 70

total increase percentage = 70÷285*100

= 24.56%

hope it helps!

Find the area of the shape shown below...

Answers

Answer:

[tex]240~sq~units[/tex]

-----------------

[tex]1/2*base*height+base*height[/tex][tex]=1/2*20*4+20*10[/tex][tex]=40+200[/tex][tex]= 240[/tex]

----------------------

hope it helps...

have a great day!!

Can anyone solve this? I'm kind of stuck! Thank you!

Answers

Answer:

B

Step-by-step explanation:

0.25 (2d + 1) = 0.25(2d) + 0.25(1)

= 0.50d + 0.25

Answer:

The expression 0.25(2d+1) is equivalent

equivalent go 0.50d +0.25.

Step-by-step explanation:

If yoy simplify the expression if will be 0.5d+0.25

What is diameter d in meters if the distance around the track is 400 meters round your answer to the nearest tenth

Answers

The answer is 768 minutes away from the park I got it coming

In which quadrant is the value of the x coordinate of a point on the unit circle always greater than the y coordinate
A. First quadrant
B. Second quadrant
C.third quadrant
D. Fourth quadrant

Answers

I thinks it first quadrant

The correct option is second quadrant.

what is unit circle?

A circle having a radius and length of one is known as a unit circle. However, it frequently includes additional bells and whistles. Right triangle relationships known as sine, cosine, and tangent can be defined on a unit circle. These correlations explain the connections between the sides and angles of a right triangle.

Given:

x coordinate of a point on the unit circle always greater than the y coordinate.

So, We know that in the second quadrant of unit circle case has x coordinate of a point on the unit circle always greater than the y coordinate.

Hence, the correct option is second quadrant.

Learn more about unit circle here:

https://brainly.com/question/11987349

#SPJ6

A sample of radium has a weight of 1.5 mg and decays
by half every 6 years. Circle all of the following
functions that correctly model the amount of radium
f(t) in mg remaining after t years

Answers

Answer: [tex](b)[/tex]

Step-by-step explanation:

Given

Initial mass of radium is [tex]A_o=1.5\ mg[/tex]

It decays by half every 6 years i.e. [tex]T_{\frac{1}{2}}=6[/tex]

For radioactive decay, sample at any time is given by

[tex]\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}[/tex]

Insert the values

[tex]\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}[/tex]

Thus, option  (b) is correct.

Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?​

Answers

Answer:

$19

Step-by-step explanation:

$61-$25=$36-$17=$19

The answer is $19 dollars all you do is subtract $25 dollars then $17 dollars :) !

Find the volume of the following cone. Area of base = 54 cm?

A) 180
B) 422.54
C) 513.33

Answers

Answer:

The volume of the cone is of 18h, in which h is the height of the cone.

Step-by-step explanation:

Volume of a cone:

The volume of a cone with base area [tex]A_b[/tex] and height h is given by:

[tex]V = \frac{A_bh}{3}[/tex]

Area of base = 54 cm

This means that [tex]A_b = 54[/tex] and thus:

[tex]V = \frac{54h}{3} = 18h[/tex]

The volume of the cone is of 18h, in which h is the height of the cone.

Find the first two equations that are needed to solve the following story problem: How many milliliters of a 5% acid solution and how many milliliters of a 17% acid solution must be mixed to obtain 60 mL of a 13% acid solution? ​

Answers

Answer:

Step-by-step explanation:

saw it on chegg

.05x+.17y=.13

x+y=60

The two correct equations are "[tex]0.05 x+0.17 y=0.13[/tex] and [tex]x+y=60[/tex]". A further solution is provided below.

According to the question,

Let,

Quantity of 5% acid solution will be "x".Quantity of 17% acid solution will be "y".

Given total acid solution,

= 60 mL

then,

→  [tex]x+y = 60[/tex]...(equation 1)

We know that the concentration of mixture = 13%

hence,

→  [tex]5 \ percent \ of \ x + 17 \ percent \ of \ y =13 \ percent (x+y)[/tex]

or,

→  [tex]0.05x+0.17y=0.13(60)[/tex]

Thus the above answer is correct.

Learn more:

https://brainly.com/question/259604

PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 +b^2 = 25^2

400 + b^2 = 625

-400           -400

b^2 = 225

b = √225

b = 15

Find the length of side y.
y=_ft

Answers

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Plz help me well mark brainliest if correct.....


.......????

Answers

Answer:

C) The mean is about 100.

Step-by-step explanation:

We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:

Let [tex]a[/tex] be the mean (average) of the values:

[tex]a=\frac{75+50+100+125+75+150}{6}=95.8\overline{3}[/tex], which is closest to answer choice C) The mean is about 100.

help it's due tomorrow

Answers

answer: 72

wordswordswords

Could someone please help me because I am rubbish at maths?
15% of £40​

Answers

the answer of this equation is 6

Answer:

£6.00

Step-by-step explanation:

15/100×40

=£6.00

Find the area of the composite figure will give extra 100 points out if answer is right and brainlyst

Answers

Answer:

Decompose the figure into two rectangles and add the areas.

Find the area of the entire rectangle and of the removed corner and subtract the areas.

Decompose the figure into three rectangles and add the areas.

Step-by-step explanation:

With all of these you can actually calculate the area of the composite figure, some of them are more easy and efficient than the other, for example dividing the composite area into three rectangles is not very efficient but will do the job, and the one where you decompose the area into two rectangles would be the best one, as well as the one where you find the area of the larger rectangle and the subtract from that the rectangle that is taken off in the right corner.

please help me i really need help[ please

Answers

Answer:

70.69

Step-by-step explanation:

Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]

Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]

Area = 70.68583471

Area = 70.69

Can someone help me please

Answers

9514 1404 393

Answer:

  24.5 units

Step-by-step explanation:

The relationship of interest here is that the centroid (intersection of medians) divides each median into parts in the ratio 1 : 2. That is, the long segment is twice the length of the short segment, and the short segment is 1/3 of the total length. Of course, the median meets the side of the triangle at the midpoint of the side.

The desired perimeter is ...

  P = CF +FX + XC

  P = (1/3)YF + (1/2)XZ +(2)CE

  P = (1/3)(21) +(1/2)(15) +(2)(5) = 7 +7.5 +10

  P = 24.5 . . . . units

The perimeter of ΔCFX is 24.5 units.

Pls help I’ll brainlest

Answers

Answer:

Choice B

Step-by-step explanation:

7.1×10⁵ = 710,000

Answer:

The answer is B. 7.1 times 10^5.

Step-by-step explanation:

To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. Record down the coefficient and count the number of steps the decimal point was moved. The number of steps moved is taken as the exponent.

In 710,000, the decimal is moved to the left 5 times. Thus, causing 710,000 to written as 7.1 times 10^5 in scientific notation.

Plz help me well mark brainliest if correct..???

Answers

Answer:

23 students letter d ran the 50 yard dash

Answer:

18

Step-by-step explanation:

the time of the students:

23,24,24,28,32,32,34,35,37,37,38,41,43,56,55,55,56,61

there are 18 number so 18 students did it

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