The length of a rectangle exceeds its width by 1
inch and the area is 132 square inches. What
are the length and width of the rectangle?

Answers

Answer 1

Answer:

Width equals 11, and length equals 12.

Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.

Answer 2

Answer:

[tex]l(l - 1) = 132[/tex]

[tex] {l }^{2} - l - 132 = 0 [/tex]

[tex](l - 12)(l + 11) = 0[/tex]

[tex]l = 12 \: or \: l = - 11[/tex]

[tex]length \: must \: be \: postive[/tex]

[tex]integers[/tex]

[tex]l = 12 \: and \: w = l - 1 = 11[/tex]

plato

Related Questions

A diver starts out at 384 feet below the surface (or - 384 feet). She then swims upward 242 feet. Use a signed number to represent the diver's current depth.

Answers

Answer:

-142 feet

Step-by-step explanation:

-384+242 feet

=-142 feet

PLS GIVE BRAINLIEST

3.
Mr. Hickman's cherry tree grew 12 inches in of a year. At that rate,
4
how much would it grow in 1 year?

Answers

Answer:

At the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.

Step-by-step explanation:

I assume the actual question is:

"Mr. Hickman` s cherry tree grew 12 inches in 3/4 of a year. How much would it grow in one year ?"

As stated,

In 3/4 of a year, Mr. Hickman's cherry tree grew = 12 inches

Therefore,

In 1 year, Mr. Hickman's cherry tree would grow = [tex]\frac{1}{\frac{3}{4} }*12[/tex] inches

= 4/3 * 12 inches

= 16 inches

Hence, at the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.

Find the 89th term of the arithmetic sequence
-13, -8, -3

Answers

Answer:

427

Step-by-step explanation:

first you have to find the difference between -13 and -8 so we do -13 minus -8 which gives us -13 +8 which is -5. so -13+5=-8 then we try plugging in 5 to the next two numbers -8+5=-3 so the pattern is +5 so now we can do 5*88=440 so now we do -13+440=427

A newspaper ran a story concerning the increasing prices of mobile phones. The story stated that mobile phone prices dropped a few years ago, but now are beginning to increase in price because of added features.
• According to the story, the average price of all mobile phones a few years ago was £215.
• A large random sample of mobile phones (n = 200) was taken, and their prices recorded.
• We wish to use a hypothesis test to determine if the average price of all mobile phones is now greater than £215.
Required: Define the hypotheses, and with reference to the applicable random variable distribution, find the rejection region appropriate for this test if we are using the significance level α = 0.05.

Answers

Answer:

H0 : μ = 215

H1 : μ > 215

Rejection region :

Zstatistic > Z0.05

Step-by-step explanation:

Given that:

Average price of all mobile phones was £215

Sample size = 200

Significance level (α) = 0.05

To determine if the average price of all mobile phones is now greater than £215

The Null hypothesis (H0) :

H0 : μ = 215

Alternative hypothesis (H1) :

H1 : μ > 215

The rejection region :

|Zstatistic > Zα|

α = 0.05 ; Z0.05

Rejection region :

Zstatistic > Z0.05

El 5% de los focos producidos por una fabrica son defectuosos. Al extraer una muestra de 6 focos. ¿Cual es la probabilidad de que menos de 3 focos sean defectuosos?

Answers

Answer:

3/10 no estoy segura pero creo que es esto

Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.

What is the value of y?

Answers

Answer:

A. 13

Step-by-step explanation:

[tex] (6y - 14) + 90 + (2y) = 180 [/tex] (angles on a straight line)

Solve for y

[tex] 6y - 14 + 90 + 2y = 180 [/tex]

Collect like terms

[tex] 6y + 2y - 14 + 90 = 180 [/tex]

[tex] 8y + 76 = 180 [/tex]

Subtract 76 to both sides

[tex] 8y + 76 - 76 = 180 - 76 [/tex]

[tex] 8y = 104 [/tex]

Divide both sides by 8

[tex] \frac{8y}{8} = \frac{104}{8} [/tex]

[tex] y = 13 [/tex]

The pumpkin patch had two corn mazes, as shown by the shaded and non-shaded sections in the model below.

A model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres.

Which expression is shown by the model?

Answers

Answer :

D - 28 + 14 = 7(4+2)

3x+14=2(2x-3), steps to solve

Answers

Answer:

Step-by-step explanation:

3x+14=2(2x-3)

3x+14=4x-6

3x-4x=-6-14

-x=-20

X=20

So the valueof X is 20

Which point is located at (Negative 0.5, 0.75)?

Answers

Answer: Is there a graph that goes with it?

Step-by-step explanation:

Answer: There is no graph?

Step-by-step explanation:

Hermina cut a ft by ft piece of plywood down the diagonal.

A rectangle is 4 feet wide and 8 feet long. A diagonal cut is shown with a line labeled c. The cut divides the rectangle in half and creates two right triangles. The hypotenuse of each right triangle is the line labeled c.

What is the length c of the cut, in feet?

Answers

Answer:

[tex]\sqrt{80} = c[/tex] is the answer.

Step-by-step explanation:

We can solve this using the Pythagorean theorem.

We know we can use the pythagorean theorem because it has a 90 degree angle.

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

We are given the sides 4 and 8.

[tex]4^{2} + 8^{2} = c^{2}[/tex]

[tex]80 = c^{2} \\\\\sqrt{80} = c[/tex]

#teamtrees #WAP (Water And Plant)

Answer:

Step-by-step explanation:

80 feet

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45. Find the discount.

Answers

The discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

The regular price = $45

The discount is worth = 40% of 45

= (40×45)/100

= $18

Thus, the discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

Please help! I really need help please I will give Brainliest!
x + 2x + 12y + x
Part A: Using the expression shown, add like terms and produce an equivalent expression.
Please do B too
Part B: Rewrite your expression from Part A using the distributive property.

Answers

Answer:

A) 4x+12y

B) 2(2x+6y) is one way to do it

Step-by-step explanation:

1+1+2 is 4 and 12y cannot be added to anything.

2 x 2 is 2 ans 6 x 2 is 12

Check all the equations that apply to meet the Segment Addition Postulate in segment OQ. OP = 6x + 5, PQ = 4x and OQ = 45.

Answers

Answer:

[tex]6x + 5 + 4x = 45[/tex]

[tex]10x = 40[/tex]

Step-by-step explanation:

Given

[tex]OP = 6x + 5[/tex]

[tex]PQ = 4x[/tex]

[tex]OQ = 45[/tex]

The given parameters show that P is a point between O and Q.

So:

[tex]OQ = OP + PQ[/tex]

Substitute values for OP, PQ and OQ

[tex]45 = 6x + 5 + 4x[/tex]

[tex]6x + 5 + 4x = 45[/tex] --- This is an equation

Collect Like Terms

[tex]6x + 4x = 45 - 5[/tex]

[tex]10x = 40[/tex] ------ This is another

Make x the subject

[tex]x = \frac{40}{10}[/tex]

[tex]x = 4[/tex]

What is the value of: -7/3 (1/2) (-1/2)?

Answers

Answer:

2.5

Step-by-step explanation:

Hope I helped

Who walks at a faster rate: Jake who walks 60 feet in 10 seconds or Lucy who takes 5 seconds to walk 25 feet?

Answers

Answer:

Jake

Step-by-step explanation:

The average rate of change is distance divided by time. You want both of their rates in feet per second. 60 feet divided by 10 seconds is 6 feet per second. 25 feet divided by 5 seconds is 5 feet per second. 6>5

Answer:

Step-by-step explanation:

hello my name is Mr. potato, my friends call me Mr.P but you can call me potato or Mr.P whatever you want is best for you top call me its ok for me and well I like cheese and i dont know what im doing here but i need friends im lonely looooooooool and i like a boy lol jajajjajajajaja me la chupan :3

What number divided by−3 gives 12 as the result?

Answers

Answer:

-36

Step-by-step explanation:

x / (-3) = 12

x = 12*(-3)

x = -36

The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution.

Answers

Answer:

The expected value of the distribution is 7.

Step-by-step explanation:

The random variable X is known to be uniformly distributed between 2 and 12.

The probability density function of X is:

[tex]f_{X}(x)=\frac{1}{b-a};\ a<X<b[/tex]

Here a = 2 and b and 12.

Compute the expected value of the distribution as follows:

[tex]E(X)=\frac{a+b}{2}[/tex]

[tex]=\frac{2+12}{2}\\\\=\frac{14}{2}\\\\=7[/tex]

Thus, the expected value of the distribution is 7.

GIVING BRAINLIEST FOR WHO ANSWERS FIRST.

Answers

Answer:

T =54 degrees

since x=10

6x-6 =54

are you clear, if yes give me brainliest and if no draw my attention by hitting the comment section

pls help meeee plsssss

Answers

Consider lines AB and CD are interesting lines,

they intersect at the point E.

/ AED and / BEC are vertically opposite angles

/ AED~/ BEC as vertically opposite angles are equal.

Help for mon pls I’ll make you famous

Answers

Answer:

1. x>-1

2. x<4

3. x<-1

4. x>-2

5. x<-3

6. x<7

Step-by-step explanation:

1. 2x>-2 Divide both sides by 2.

/2 /2

x>-1

2. 4x<16 Divide both sides by 4.

/4 /4

x<4

3. x+4<3 Subtract both sides by 4.

-4 -4

x<-1

4. 5x>-10 Divide both sides by 5.

/5 /5

x>-2

5. 3x<-9 Divide both sides by 3.

/3 /3

x<-3

6. x-4<3 Add 4 to both sides.

+4 +4

x<7

Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.

What is the slope of y = -4x- 3?

Answers

Answer:

-4

Step-by-step explanation:

Given line:

y = -4x - 3

It is given in slope-intercept form:

y = mx + b, where m is the slope

Comparing with the given we see that

m = -4, so the slope is - 4

Choose all the expressions that are equal to 0.7 × 0.41.
A. 7100×41100
B. 710×41100
C. 7100×4110
D. 710×4110
E. 70100×41100

Answers

Answer:

None of the expressions is equal to 0.7 x 0.41.

Step-by-step explanation:

Given that 0.7 x 0.41 is equal to 0.287, to determine which options are equal to said operation, the calculations set out for each of them must be performed:

A. 7,100 × 41100 = 291,810,000

B. 710 × 41100 = 29,181,000

C. 7100 × 4110 = 29,181,000

D. 710 × 4110 = 2,918,100

E. 70100 × 41100 = 2,918,100,000

Therefore, looking at all the results produced by the predisposed calculations, it is evident that none of the expressions is equal to 0.7 x 0.41.

There is no expression equivalent to the given expression and this can be determined by using the arithmetic operations.

Given :

Expression -- 0.7 × 0.41

The arithmetic operations can be used in order to evaluate the given expression.

[tex]0.7\times 0.41 = 0.287[/tex]

Now, check all the options in order to determine the correct option.

A) 7100×41100