A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches. If the area of the photograph is 112 square inches, what is the width of the photograph?

The width of the photograph is __inches.

Answers

Answer 1
Answer: 8 inches

Solving Steps:

x(x + 6) = 112
x^2 + 6x = 112
x^2 + 6x - 112 = 0
(x + 14)(x - 8) = 0
x + 14 = 0
x = -14
^^^ reject because distance can’t be negative
x - 8 = 0
x = 8

Check:

x(x + 6) = 112
8(8 + 6) = 112
64 + 48 = 112
112 = 112

Related Questions

Together, Arline, Mariana, and Sue have 708 movie star cards. Arline has the most cars, and Sue has the least. The ratio of the number of cards each girl has is 5:4:3. How many movie-star cards does each girl have?

Answers

Answer:

5+4+3=12

708/12=59

59*5=295

59*4=236

59*3=177

Arline=295, Mariana=236, Sue=177

Step-by-step explanation:

Solve for c.

-2.2 - 0.1c = -1.9

Answer: c = _____

Answers

Answer:

c = -3

Step-by-step explanation:

-2.2 - 0.1c = -1.9

-0.1c = 0.3

c = -3

Hopefully this helps!

Brainliest please?

Antonia is using the calculator shown to find the value of 1,035 × 6. What key on the calculator should she press after clearing the calculator?

1
+/–
C
/

Answers

C reasoning because c normally stands for clear and you should always double clear your calculator just to make sure it worked the first time

One printing machine printed 700 books in 40 hours this week. A second printing machine printed for
25 hours this week but printed books twice the hourly rate of the first machine. How many books did the
second machine print this week?

Answers

Answer:

875 books

Step-by-step explanation:

1st machine 700 books/40 hours = 17.5 books/hr

2nd machine printed 2x or 35 books/hr

25 hours x 35 books/hr = 875 books

Bài 1. Tính

a) 3x(2x – 5)

b) (x+1)(x + 4)

c) (7 – x)( x + 7)

d) ( + 2)2

e) (3 – 2x)2

f) (x – 2)(x2 + 2x + 4)

Bài 2. Phân tích các đa thức sau thành nhân tử:

a) 2−19

b) 2−2+ 2 - 100

c) xz + yz - 5(x + y)

d) 2+3++3

Bài 3. Tìm x biết:

a) 4x2 - 12x = 0

b) x2 – 5x = 0

c) x(2x – 7) + 4x – 14 = 0

Answers

F F F F F F F F F F F F F

Step-by-step explanation:F    f

Can someone help me on this question! It’s really confusing

Answers

is that all of the question?

Angelica is making fruit baskets. She has 3 bags containing 35 tangerines each. She has 4 bags of apples. Using no particular combination of fruit, Angelica was able to make 13 fruit baskets with 13 pieces of fruit in each basket. Each bag contained an equal number of apples. How many apples, a, were in each bag?

Write the equation, solve it out and provide the solution.

Answers

5 bags of apples  29 apples in each bag

A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event. a red 3

Answers

Answer:

1/13

Step-by-step explanation:

Total number of cards = 52

no.of sample space n(s) = 26

no.of favourable cases n(E) = 2

probability of getting red 3 p(E)= n(E) / n(s)

or, 2 /26

or, 1/13

Drag each label to correct location on the image. Identify which equations have one solution, no solution, or infinitely many solutions?

Answers

Answer:

2z+2+4z=16/5+2z-6/5; 5r+2=6r+3-r

One Solution: 3/2x+2.3-1/2x=4.3+x; 2x+2/3=2x+4/5-4x; 32p-2.5+2.1p=5p-7/2

Infinite Solution: 17/4+4.2y-9/4=2.2y+6+2y-4

Step-by-step explanation:

HELP ASAP......find the slope of the line that passes through the two points (-44.42,5.1) and (4.42,4)

Answers

Answer:

m ≈ -0.225

Step-by-step explanation:

For points (-44.42, 5.1) and (4.42, 4)

slope = (y2 -y1)/(x2 -x1) = (5.1 -4)/ (-44.42 -4.42) = 1.1 / -48.44 ≈ - 0.225

Compute the difference quotient

Answers

Make factors by splitting middle terms, you will get the value of x.

Answer:

Step-by-step explanation:

f(x) = -x^2+6x-2

-x^2+6x-2  here we use work sheets or log books

Write the place value of underlined digit in 8.745

Answers

Answer:

thousandths I'm pretty sure

A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

Answers

Answer:

2 in 16

Step-by-step explanation:

Which of the strategies below could help you find 72-25? Select all the correct answers.

Answers

Step-by-step explanation:

25+5=30

30+40=70

70+2=72

The hypotenuse of a right triangle is 7 feet long. One leg is 4 feet longer than the other. Find the lengths of the legs, Round to the nearest tenth of a foot
The length of the shorter leg is ft, and the length of the longer leg is ft.
(Do not round until the final answer. Then round to the nearest tenth as needed)
Help Me Solve This
View any

Answers

Answer:

Shorter leg = 2.5 ft.

Longer leg = 6.5 ft.

Step-by-step explanation:

a^2 + b^2 = c^2

Because the hypotenuse = 7 ft, a^2 + b^2 = 49

To represent the two legs, we can use x and x+4.

x^2 + (x+4)^2 = 49

Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.

Then, using the quadratic formula, we find that x = 2.5.

Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.

0.35 x 9 = 3.15
Is this an overstatement understatement

Answers

[tex]over \: \: statement \: \\ \\ 0.35 \times 9 = 3.15 \\ \\ multiply \: 0.35 \times 9 \\ 3.15 = 3.15 \\ \\ so \: the \: answer \: is \: \: overstatemnt \\ \\ hope \: \: it \: \: helps[/tex]

[tex][ 1 1 1 -1\\ 2 0 3 1\\ 4 x 1 -1\\ 1 0 -1 2 ] = 0[/tex]

Answers

Answer:

5hg vb

Step-by-step explanation:

,hgbn

Answer:

−120314x − 11

Step-by-step explanation:

Round 0.1347 to the nearest tenth.

Answers

Answer:

0.1

Step-by-step explanation:

Tenths is the first place to the right of the decimal point

Since the next place over is 3

round down to 0.1

20 points fast plzz!!! Bob fenced in his backyard. The perimeter of the yard is 22 feet, and the length of his yard is 5 feet. Use the perimeter formula to find the width of the rectangular yard in inches: P = 2L + 2W.

6 in.
12 in.
72 in.
144 in.

Answers

Answer:

The width of the rectangular yard is 72 inches

Step-by-step explanation:

Let

L -----> the length of the yard

W ----> the width of the yard

we know that

The perimeter is equal to

we have

substitute in the formula and solve for W

Divide by 2 both sides

Subtract 5 both sides

Convert feet to inches

Remember that

1 ft= 12 in

Step-by-step explanation:

The width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.

What is rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

Perimeter of the rectangle :

P = 2L + 2W

L = 5 feet

22 = 2(5) + 2W

After calculating:

W = 6 feet

1 feet = 12 inches

6 feet = 72 inches

Thus, the width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

Let f(t)=4-3t^2. Evaluate f(t+1).

Answers

Answer:

f=4-3t^2/t+1

Step-by-step explanation:

the cash cost is 4700.00 she decides to finance the project by paying 7.0% down and pays 740.00 for 6 months what is the finance charge​

Answers

7% of 4700 = 329
740 x 6 = 4440
Total cost = 329 + 4440 = 4769
The extra cost of instalments = 69

how many 3/4s are in 1 2/4

Answers

Answer:

I think there is 6.

Step-by-step explanation:

Im not 100% sure tho :{

Hope this helps :}

Pls make brainliest :P

And have an amazing day <3

4 1/2 = (4x2+1)/2=9/2

9/2 divided by 3/4
9/2 X 4/3
9/1 X 2/3=18/3 = 6
answer is 6

Cookies are on sale! Today each cookie costs $0.75 less than the normal price, Right now if you buy 7 of
them it will only cost you $2.80
Write an equation to determine the normal price of each cookie (c),
Find the normal price of each cookie,

Answers

Answer:

2.80$ dived by 7 to get 40 cents each on sale. add 75 sents to each cookie. 40 plus 75 in cents. your left with 1.15$ per cookie. 1.15 times 7 is 8.05

Step-by-step explanation:

Answer:

The normal price of each cookie is n = c = $1.15.

Step-by-step explanation:

Represent the normal cookie price by n.

Then the sale price today is n - $0.75 each, and so 7 cookies will cost you 7(n - $0.75), or $2.80, or, as an equation, 7(n - $0.75), or $2.80.

We simplify this equation by dividing both sides by 7, which results in:

n - $0.75n = $0.40.

Combining like terms, we get

n = $1.15

The normal price of each cookie is n = c = $1.15.

35005 multiplied by
6 =

Answers

Answer is 210,030
Any other questions

Answer:

210030

Step-by-step explanation:

You can use a calculator.

Convert 5 over 9 into a decimal

Answers

Answer: 0.556

Step-by-step explanation:

Answer:

5/9 as a decimal is .5 repeating. I hope this helps.

chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6

Answers

Answer:

steps below

Step-by-step explanation:

5¹+5² = 30        30/6 = 5¹

5³+5⁴ = 125 + 625 = 750     750/6 = 125 = 5³

5⁵+5⁶ = 18750         18750/6 = 3125 = 5⁵

...........

(5¹⁹⁹¹+5¹⁹⁹²)/6 = 5¹⁹⁹¹

sum of every couple consecutive multiple of 5 are multiple of 6, the sum

S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 IS multiple of 6

Find the value of a that satisfies the following

P(Z>a)=0.9207

Answers

Answer:

-1.409

Step-by-step explanation:

I’m assuming this a z-score for stats. You would just go into your calculator, in my case a Casio. Then, you’d press on the stats module, click F5 (DIST), F1 (NORM), F3 (InvN). You would change the data to variable, then put in tail right, area .9207, SD 1, mean of 0. Then hit execute and you’ll get the answer of -1.4097958. Round it if needed.

Find the quotient when (21x2 -52x + 32) is divided by (7x - 8).

1:3x + 3
2:3x + 4
3:3x + 2
4:3x - 4

Answers

Answer:

4:3x-4

Step-by-step explanation:

PLEASE ANSWER THIS ROTATIONAL SYMMETRY QUESTION ITS 6TH GRADE I WILL GIVE U THANKS AND BRAINLIEST

Answers

Answer:

See below:

Step-by-step explanation:

The first one is 4 since if we turn if 90 degrees 4 times we will get the same shape 4 times.

The second one is 1 since we will only get it after a 360 degree rotation once,

The third one is once since we wont ever get the same shape since the arrow but only after a 360 degree rotation.

The fourth one is only once since we cant rotate a 3 sided object in 4 ways, hence its only once

The fifth one is twice since it will be the same at 180 and 360 degrees.

Write three expressions that are equivalent to 8x + 16.

Answers

Answer:

1. 2(4x + 8)

2. 8(x +2)

3. 4(2x +4)

Step-by-step explanation:

You can check by using the distributive property!

For instance:

2 (4x +8)

 2 · 4x = 8x

 2 · 8 = 16

= 8x + 16

8(x +2)

 8 · x = 8x

 8 · 2 =16

= 8x + 16

4(2x +4)

  4 · 2x = 8x

   4 · 4 =16

= 8x + 16

Hope this is helpful! Let me know if you have any more questions :D

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