1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sliva [168]
3 years ago
5

A 5 in x 7 in picture is in a frame of uniform width x. The area of the picture and the frame together is 99 in2. How wide is th

e frame?
A. 1 inch

B. 2 inch

C. 2 1/2 inch

D. 8 inch
Mathematics
2 answers:
algol133 years ago
5 0

Answer: B. 2 inch

Step-by-step explanation:

Let x represent the uniform width of the frame.

The original dimensions of the picture is 5 in x 7 in. This means that the new width of the picture together with the frame is (5 + 2x) in and the new length of the picture together with the frame is (7 + 2x) in.

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the picture and the frame together is 99 in2. Therefore,

(5 + 2x)(7 + 2x) = 99

35 + 10x + 14x + 4x² = 99

4x² + 24x + 35 - 99 = 0

4x² + 24x - 64 = 0

Dividing through by 4, it becomes

x² + 6x - 16 = 0

x² + 8x - 2x - 16 = 0

x(x + 8) - 2(x + 8) = 0

x - 2 = 0 or x + 8 = 0

x = 2 or x = - 8

The width cannot be negative. So

x = 2 in

-BARSIC- [3]3 years ago
5 0

Answer: B.) 2 inches

Step-by-step explanation:

You might be interested in
What is the conversion
bagirrra123 [75]
Conversion is <span>the act or an instance of converting or the process of being converted.</span>
6 0
4 years ago
Read 2 more answers
1. The US Mint has a specification that pennies have a mean weight of 2.5g. From a sample of 37 pennies, the mean weight is foun
Evgesh-ka [11]

Answer:

the pennies does not conform to the US mints specification

Step-by-step explanation:

z = (variate -mean)/ standard deviation

z= 2.5 - 2.4991 / 0.01648 = 0.0546

we are going to check the value of z in the normal distribution table, which is the table bounded by z.

checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)

we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim

since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification

the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected

7 0
4 years ago
Helpppp please!!!!!!!!!!
hram777 [196]

Answer:

128.86 cm^2

Step-by-step explanation:

So to start off we need to find the area of the rectangle.

The formula for the area of a rectangle is l×w.

L stands for the length which is 12 and w is the width which is 11.

So 11 × 12 = 132 cm^2.

Now time for the area of a circle.

The formula for that is \pi r^{2}.

So first we need to do 1 × 1 which is 1.

Then 1 × \pi which is just \pi.

Then we do 132 - \pi which is an irrational number.

It looks like this shortened 128.858407346.

Now rounding to the nearest hundreth it would be 128.86 cm^2.

Hence, the area of the shaded region is 128.86 cm^2.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=what%20is%208%28y-3%29" id="TexFormula1" title="what is 8(y-3)" alt="what is 8(y-3)" align="ab
Brrunno [24]
8y-24 should be your answer
3 0
3 years ago
Read 2 more answers
1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
melisa1 [442]

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

5 0
3 years ago
Read 2 more answers
Other questions:
  • A translation is applied to the rectangle formed by the points A(−2, 6) , B(2, 6) , C(2, 4) , and D(−2, 4) . The image is the re
    11·2 answers
  • the cost of renting a car is 35/wk plus $0.25/mi traveled during that week. An equation to represent the cost would be y =35+0.2
    8·1 answer
  • Bentley invested $85,000 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are
    7·1 answer
  • (f- g)(x) =<br> A. x2 + x-4<br> B. x2 + x + 4<br> C. 12- X+6<br> D. x2+x+6
    12·1 answer
  • Isabella purchased 3 books from the book store. She now owns 11 books that she wants to read before the end of the year. If x re
    11·2 answers
  • What is the image of (-12,9) after dilation by a scale factor of 1/3
    15·1 answer
  • 6x +8=5x=4 <br> what is the value of x
    13·1 answer
  • Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as hi
    5·2 answers
  • Question is in the photo
    8·1 answer
  • PLEASE HELP ASAP NUMBER 8 AND 9 SHOW WORK AND I WILL GIVE BRAINLIEST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!