The length of a rectangular picture frame is 2 inches shorter than its width. If the perimeter of
the picture frame is 52 inches, what is the length, l, and width, w, of the frame? Write and
solve an equation to model the problem. Explain the meaning of the solution.

Answers

Answer 1

Answer:

Length = 12 inches

Width = 14 inches

Step-by-step explanation:

Formula for perimeter of a rectangle is;

P = 2(L + W)

Where;

L is length

W is width

We are told that the length is 2 inches shorter than its width. Thus;

L = (W - 2)

Thus,perimeter is now;

P = 2(W - 2 + W)

P = 2(2W - 2)

P = 4W - 4

We are told that the perimeter is 52. Thus;

4W - 4 = 52

4W = 52 + 4

4W = 56

W = 56/4

W = 14 inches

From L = (W - 2) ;

L = 14 - 2

L = 12 inches


Related Questions

Here are the monthly charges for Jo's mobile phone
Monthly charge 616
150 free minutes, then 18p per minute
150 free texte, then 18p per text
During one month, Jo makes 170 minutes of calls and sends 182 texte,
Work out the total charge for the month

Answers

Answer:

The correct answer is - 625.36.

Step-by-step explanation:

Given:

Fixed mothly plan - 616

free minutes - 150

Used minutes - 170

Free text - 150

Used text - 182

Charging amount over free limit - 18p

Solution:

Number of minutes over the limit -  170 - 150 = 20

Number of text over the limit - 182 - 150 = 32

So the extra amount that will be add to the monthly charge would be -

(20*0.18) +(32*0.18)

and the total charge of the month would be -

= 616+(20*0.18) +(32*0.18)

= 616+3.60+5.76

= 625.36

Thus, the correct answer would be - 625.36

What is the perimeter of the parallelogram?
units

Answers

Answer:

P = 36 units

Step-by-step explanation:

perimeter of the given diagram:  (see attached)

P = 8 + 8 + 10 + 10

P = 36 units

Please help!
1. Camila's goal is to run 1 1/2 miles a day. She ran 4 /6 mile in the morning. She says she still needs to run 1 1/6 miles in the afternoon to reach her daily goal.
Which phrase explains why Camila's statement is incorrect?
A. 2/4 is not a multiple of 1/6
B. 1/6 is less than half (wrong)
C. 4/6 is more than half
D. 2 is less than 4

2. Henry has a recipe that calls for 3 3/4 cups of sugar. He wants to use 2/3 that amount. How much sugar will Henry use?

A. 2 1/2
B. 4 5/12
C. 3 1/12 (wrong)
D. 5 5/8

3. Sienna shares half of a pizza equally among herself and 3 friends.
What fraction of the whole pizza will each friend get?

A. 6 pizzas
B. 1/6 pizza (wrong)
C. 1/8 pizza
D. 8 pizza

Answers

Number 1 is C
Number 2 is A
Number 3 is C

PART 2
HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

54 hours

Step-by-step explanation:

So, first of all subtract the money she has from the total amount.

540-60=480 She still needs $480. So divide this number by the amount she gets in an hour. (9)

480/9 =53.33333 since she can't work half hours, i rounded up.

what's the value of this expression 9 1/2 (-2.5)

Answers

-23.75 is the answer I’m pretty sure if not I’m sorry

Horatio bought a new bicycle on layaway. He made a $45 initial payment to the
bike shop, and then agreed to pay $10 each week until the bike was paid for. Which
equation represents the relationship between x, the number of weekly payments,
and y, the total amount paid to the bike shop?

Answers

Answer:

100

Step-by-step explanation:

What is the probability of picking a purple marble and spinning green?


Answers

two out of how many there is.

a family wants to rent a car to go on vacation. Company A charges $30.50 and 9 cents per mile. Company B charges $70.50 and 14 cents per mile. How much more does Company B charge for x miles than company A?
For x miles, Company B charges __ dollars more than company A.

Answers

Answer:

$(39.24x)

Step-by-step explanation:

We need to find out their difference for one mile before calculating their difference for x miles.

Difference per mile = ($70.50 + $0.14) - ($30.50 + $0.90)

                                = $70.64 - $31.40

                                = $39.24

Difference for x miles = $39.24 × x miles

                                    = $(39.24x)

please answer asap i’m timed. WILL GIVE BRAINLIEST!!

The side lengths of triangle RST are 5, 12, and 13. Which set of ordered pairs from a triangle that is congruent to triangle RST?
a) (-3, -2),(-3,11),(9,-2)
b) (1,-3),(6,-3),(6,10)
c) (2,-1)(7,-1),(2,11)
d) (5,1),(1,13),(12,1)

Answers

Answer:

sin(R) = 12/13

tan(T) = 5/12

Step-by-step explanation:

Answer:

C. (2,–1)(7,–1),(2,11)

Step-by-step explanation:

I am taking the exam right now and Im actually a genius!!!

The shortest route from London to York is 200 miles.
A lorry is expected to take 4 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 4 hours.
By how many more mph than the expected speed does the lorry travel?

Answers

Answer: The lorry is traveling 10 mph over the expected speed.

Step-by-step explanation:

If 200 miles takes 4 hours, the speed is 200mi/4hr which  is 50 mph.

If the distance is increased by 20%, the distance is 240 miles.

240mi/4hr = 60mph

The difference is 10mph

A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28. Using the sample data given, calculate a 95% confidence interval for the population mean.

Answers

Answer:

(228.663 ; 241.337)

Step-by-step explanation:

Given that:

Mean (m) = 235

Standard deviation (s) = 28

α = 95%

Zcritical at 95% = 1.96

Sample size (n) = 75

The confidence interval of the population mean can be obtained using the relation :

Mean ± Error

Error = Zcritical * (s/sqrt(n))

Error = 1.96 * (28/sqrt(75))

Error = 1.96 * 3.2331615

Error = 6.33699654

Error = 6.337

Lower boundary = 235 - 6.337 = 228.663

Upper boundary = 235 + 6.337 = 241.337

(228.663 ; 241.337)

Can you please show work if you can. Thank you

Answers

17-34(304)$-5 this is what I put

the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.

Answers

Answer: 1/3

Step-by-step explanation:

Here is the complete question:

machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.

The Probability of the above question will be calculated as:

= (10-9) / (11.5 - 8.5)

= 1/3

The above is the easier way to solve this

Complete the number sentence.

0.30 ÷ 0.06

Answers

Answer:

5

Step-by-step explanation:

Answer:

0.30 ÷ 0.06 = 5

Step-by-step explanation:

Mr. kim travels 32 weeks a year for work. He is home the other 20 weeks. There are 7 days in a week. Which of the following basic facts can Mr. Kim use to help find the number of days he is home.
A. 2x7
B. 3x7
C. 32+7
D. 20+7​

Answers

Answer:20 * 7 (20 times/ multiplied by 7)

Step-by-step explanation: home is 20weeks with 7 days each. So, 20 times 7

In other words

Count seven days 20 times

Please help answer the first 2 boxes for brainslt

> for brainslt

Answers

y=mx+b

From a Graph:

m=3/2 b=3

Equation: y=3/2x+3

Non-Proportional

Negative Slope

2nd From a Graph:

m=5/2 b=4

Equation: y=5/2x+4

Non-Proportional

Negative Slope

Which expressions are equivalent to -6(6 + 2) + 8?
Choose all answers that apply:
A
-66 + 2 +8
B
- 66 - 4
None of the above

Answers

Answer:

None of the above

Step-by-step explanation: -6(6+2) + 8 = -40 so -66 + 2 +8 = 56 and -66 - 4 = 70

The answer is. None of the above

Pls helpppppp! 25 points will mark brainliest!!!!!

Answers

That is the answer. Hope it helps!

17 divided by 1/3 pls help me

Answers

Answer:

51

Step-by-step explanation:

just the denominator with the numerator

In tuv y is centroid if yw=5b and ty=4b+14 find tw

Answers

your right Step-by-step explanation:

The measure of TW from the given triangle TUV is 35 units.

What is centroid of a triangle?

The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.

Given that, in triangle TUV, Y is centroid if YW=5b and TY=4b+14.

The centroid is positioned inside a triangle. At the point of intersection (centroid), each median in a triangle is divided in the ratio of 2:1.

Now, TY/YW =2/1

(4b+14)/5b =2/1

10b=4b+14

6b=14

b=14/6

b=7/3

Now, TW=YW+TY

TW=5b+4b+14

TW=9b+14

Substitute, b=7/3 in TW=9b+14, we get

TW=9×7/3+14

= 21+14

= 35

Therefore, the measure of TW is 35 units.

Learn more about the centroid here:

brainly.com/question/10708357.

#SPJ2

Help plsssssss............

Answers

Answer is B. x=9

12x-18=90
+18 +18
12x=108/12
x=9
the answer plus the work is in the picture im just writing this bc i have to fill out 20 characters

Find the distance between the lines with equations 5x+8y=0 and y=-5/8x-8.

A.7.1
B.7.11
C.7.12
D.7.13

Answers

Answer:

B

Step-by-step explanation:

Answer: It's A 7.1

ON THE EDGE 2121!

Forced vital capacity (FVC), a standard measure of pulmonary function, is the volume of air a person can expel in 6 second. The standardized FVC follows approximately a standard normal distribution. A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean. The probability that a child is within the normal range of long growth is ______________.

Answers

Answer: the probability that a child is within the normal range of long growth is 0.8664

Step-by-step explanation:

Given that;

A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean.

he probability that a child is within the normal range of long growth = ?

so we need to find

P( -1.5 < z < 1.5)  

which can also be represented as;

⇒2 × ( 0 < z < 1.5)

so we have

⇒ 2 × 0.4332

= 0.8664

Therefore the probability that a child is within the normal range of long growth is 0.8664

How to write the slope intercept form of
y - 4 = 3 (x-2)

Answers

Answer:

y=3x-2

Step-by-step explanation:

y-4=3(x-2)

y-4=3x-6

y=3x-2

please help meeee the blue line is what I have to find please show your work​

Answers

Answer:

So we have to satisfy the equation so let us simplifyLet the empty space be n N-16+4n+9+1= 10n-6 N-4n=10nn=14n So the missing value is 14N to statify the equation
Let the blue line equal to n

So now the equation is n-16+4n+10=10n-6

Collect like terms

5n-6= 10n-6

Move 6 to the other side as a positive

5n=10n

Move 10n to the other side as a negative

5n-10n=0

-5n=0

Divide both sides by -5

So, n is equal to 0


+) Evaluate the expression 81 – 82.
81 – 82 =

Answers

81 - 8^2 is 17 ..............

Answer:

81-8²

=81-(8×8)

=81-64

=17

The sum of two numbers is negative thirty-two. One number is two less than the other.



Call the numbers m and n.

Answers

Answer:

-15 and -17

Step-by-step explanation:

O 14,000 16) How many zeros will be in the product of 4 x 500?*​

Answers

Answer:

3 zeros

Step-by-step explanation:

4*500=2000

Helppppppppppp plzzz ​

Answers

Answer:

4

Step-by-step explanation:

hope this helps......

identify the type of pair of angles labeled as 1 and 2 in the figure. will give brainliest!!!!!

Answers

they are vertical angles!
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