A rectangle is 6 feet long and 4 feet wide. If each dimension is increased by the same number of feet, a new rectangle is formed whose area is 39 square feet more than the area of the original rectangle. By how many feet was each dimension increased?​

Answers

Answer 1

Answer:

Each dimension increased by 3 ft.

Step-by-step explanation:

Area of the original rectangle = 4 * 6 = 24 square feet

Increased dimension = x ft

New length = 6 + x

New width = 4 +x

New area = (6 + x)(4 +x)    {Use FOIL method}

                = 6*4 + 6*x + x*4 + x*x

                = 24 + 6x + 4x + x²

                = x² + 10x + 24

New area = 24 + 39

x² + 10x + 24 = 63

x² +10x + 24 - 63 = 0

x² + 10x  - 39 = 0

x² + 13x - 3x  - 3*13 = 0

x (x + 13) - 3(x + 13) = 0

(x + 13)(x -3) = 0   {Ignore x + 13, as it gives negative value}

x - 3 = 0

x = 3


Related Questions

Justin is evaluating the expression 12.53.8x, when x is 7.9.
12.5+3.847.9)
16.3(7.9)
128.77
What was Justin's error?
Justin should have multiplied 12.5 and 7.9 first.
Justin should have added 12.5 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first.
O Justin should have added 3.8 and 7.9 first.

Answers

Answer:

C.) Justin should have multiplie 3.8 and 7.9 first.

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

Question 5 (25 points)
Choose the equation that could be used to solve for the missing side.

Help me ASAP!!!! Plzzz!!!

Answers

Answer:

Again its C like i answered before.

Step-by-step explanation:

Cos is adj/hyp and there is only one cos option so it must be correct.

Two friends shop for fresh fruit. elena buys a watermelon for $7.65 and 4 pounds of cherries. taniy buys a pineapple for $2.25 and 3 pounds of cherries. use the variable p to represent the price, in dollars, per pound of cherries.​

Answers

Answer:Answer: 5.2-p

Step-by-step explanation:

Let p be the price, in dollars, per pound of cherries.

Given : .Jackson buys a watermelon for $7.65 and 5 pounds of cherries.

Cost of 5 pounds of cherries = 5p

Now,

Cost of fruits to Jackson = 7.65+5p   (in dollars)

Tim buys a pineapple for $2.45 and 4 pounds of cherries.

Cost of 4 pounds of cherries = 4p

Now,

Cost of fruits to Tim = 2.45+4p   (in dollars)

Amount spent by Jackson more than Tim = (Cost of fruits to Jackson)-(Cost of fruits to Tim)

=  7.65+5p -(2.45+4p)

=  7.65+5p -2.45 - 4p

= 5.2-p

Hence , the required expression in terms of p = "5.2-p"

Step-by-step explanation:

how do i put 6x5 in repeated addtion

Answers

Answer:

6+6+6+6+6

Step-by-step explanation:

6+6 5 times

6+6+6+6+6

1 2 3 4 5

Answer:

6+6+6+6+6 or 5+5+5+5+5+5

Step-by-step explanation:

Repeated addition just means to add 6, 5 times for this question.  

A chemist measures the boiling point of a sample of benzene as 79.8 degrees Celsius. The actual boiling point is 80.1 degree Celsius. Round to the nearest hundredth of a percent, what is the percent error in the boiling point for the sample? Put the % sing after your numbers and do not put spaces in your answer.

Answers

Answer:

-0.375%

Step-by-step explanation:

Here, we want to calculate the percentage error

Mathematically;

% error = error/true value * 100%

error= the difference between the true value and the calculated

That is;

79.8-80.1 = -0.3

% error = -0.3/80.1 * 100%

% error = -0.375%

I need help with this question.

Answers

Answer:

59

Step-by-step explanation:

We know that all the angles must add up to 180

so we have

38+2b-20+b-15=180

solve for b

3b+3=180

3b=177

b=59

Answer:

b=59

Step-by-step explanation:

angles in the triangle add up to 180

this would mean that

38 +2b-20 + b-15 = 180

if we simplify this then it would be

3+3b= 180

rearrange

3b = 177

b = 59

If u know how to do this plz help cause I missed class and I don’t understand anything :/

Answers

Answer:

2

Step-by-step explanation:

sum of angles in a triangle is 180

(26x - 2) + 70 + 60 = 180

26x -2 = 180 - 70 - 60

26x - 2 = 50

26x = 52

x = 2

hope this helped

Answer:

D) 2

Step-by-step explanation: The interior angles of triangles will ALWAYS add up to 180 degrees. In this case 2 angles are already provided, 70 and 60, so adding those together (130) the remaining angle must be 50 (180-130=50). In 26x-2=50, x=2 is the only possible answer. (Feel free to ask any questions if you don't understand anything I said!)  

The difference between a larger multiple of 4 and a smaller multiple of 4, is again a multiple of...

Answers

Answer:

4.

Hope that helps!

Step-by-step explanation:

4x+2y=17
3x+2y=13

X=
Y=

Please help asap lol ty

Answers

Answer:

x=4

y= 1/2

Step-by-step explanation:

The easiest way to solve this is to subtract the two equation from each other

wee have

  4x+2y=17

-  3x+2y=13

___________

x=4

Now that we know what x is we can solve for y

4(4)+2y=17

16+2y=17

2y=1

y= .5

What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm

Answers

We dont know this
You need to have only 2
For ex: 4 cm and 7 cm
So, P=2• (a•b)
2•(4•7)
P=56cm

Answer:

12

Step-by-step explanation:

Kayden is a teacher and takes home 100 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Kayden have remaining to grade after working for 10 hours?

Answers

Answer:

40

Step-by-step explanation:

6 * 10 = 60 papers done and complete

100- 60 = 40

Answer:

40 papers will be remaining

Step-by-step explanation:

= As,It take 1 hour to grade 6 papers

= 1 -6

= 10-?

= by cross multiplying we get 60 papers

= 100 - 60

= 40 papers

Thank you

i’m stuck on these ones too

Answers

Answer:

7.D) 107°

8. A) 123°

Step-by-step explanation:

To find the correct measurement of the angel the sum of the interior angels needs to equal 360°. Angels where the lines intersect with the circle would be both 90°. ( If that makes sense.)

90°+90°=180

180°+73°= 253°

360°-253°= 107°

The same for the second one. (those two angles would also be 90° each.)

90°+90°=180°

180°+57°=237°

360°-237°=123°

The axis of symmetry for a function in the form f(x)=x2+4x-5 is x=-2

Answers

Answer:

error siya bessssss

error siya

Find the exact value of x.

x=

Answers

Answer:

6.73

Step-by-step explanation:

Remark

There might be an easier way to do this problem. I'm certain I don't know what it is. Begin by called WY = y

Givens

WY = y

WZ = x

XW = 25 - y

XZ = 24

YZ = 7

Equations

x^2 + y^2 = 7^2

(25 - y)^2 + x^2 = 24^2

Solution

x^2 = 7^2 - y^2

x^2 = 24^2 - (25 - y)^2

Since both xs are the same, you can equate the right side of the equations.

7^2 - y^2 = 24^2 - (25 - y)^2                 Expand the brackets

7^2 - y^2 = 24^2 - (625 - 50y + y^2)    Remove the brackets.

7^2 - y^2 = 576 - 625 + 50y - y^2        Cancel the y^2. Combine 576 and 625

49  = - 49 + 50y                                    Add 49 to both sides

98 = 50y                                               Divide by 50

y = 1.96

Now use y to find x

x^2 + y^2 = 7^2

x^2 = 7^2 - 1.96^2

x^2 = 45.1584

x = 6.72

9514 1404 393

Answer:

  x = 6.72

Step-by-step explanation:

The triangles are all similar, so the ratios of corresponding sides are the same.

  short leg/hypotenuse = 7/25 = x/24

  x = 24(7/25)

  x = 6.72

If m∠12 = 123° and m∠6 = 76°, find each measure.

Answers

Answer:

m1 = 76

m2 = 47

m3 = 57

m4 = 57

m5 = 47

m6 = 76

m7 = 123

m8 = 57

m9 = 76

m10 = 104

m11 = 57

m12 = 123

m13 = 104

m14 = 76

123=16• that’s the answer of the ques

HELP ME PLEASEE!!!!!!ITS DUE TODAY!!

Answers

A 86.5 b 52 C-2.9 d. -11.6

Answer:

86.5, 52, -2.9, -11.6

Step-by-step explanation:

The intervals are same amounts on number 1 and 2, and for 3 and 4. But different than the other group

Dolores spent $ 13.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Dolores spent?

A. 0.35
B. 0.13
C. 0.07
D. 0.65

Answers

Answer:

In order to find the fraction of the 20 dollars that has been spent, we have to divide the amount spent by the total amount. So 0.65 is the fraction of 20 that is spent.

Step-by-step explanation:

How much inches go into 5ft?

Answers

1ft is 12 inches, multiply 12 with 5. That’s gonna be 60.

Answer: 60 inches

what do -4 (x+7)-4 equal

Answers

Answer:

-4x-32  Can i please get a brainliest because this correct.

Step-by-step explanation:

−4(x+7)−4

Distribute:

=(−4)(x)+(−4)(7)+−4

=−4x+−28+−4

Combine Like Terms:

=−4x+−28+−4

=(−4x)+(−28+−4)

=−4x+−32

Answer:

=−4x−32

Solve the literal equation for y.
6x + 3y = 3

Answers

Answer:

6

Step-by-step explanation:

because 3x3=6

so y would have been 6 not sure if am correct but I'm trying something

solve
plz -4p-2r-15p

Answers

Answer:

-2r-19p

Step-by-step explanation:

-4p-2r-15p

add like terms

-2r-19p

Multiple Choice Questions (MCQs)
14. The ratio between two numbers is 11:9. If the
sum of these two numbers is 40, what is the
product of the numbers?
(a) 396
(c) 400
(b) 432
(d) 384​

Answers

Answer:

(c) 400 is correct answer

Copeid from Sandy

Answer:

400 is the best answer

Step-by-step explanation:

For me

Copied from Alia !!

find the size of angle x

Answers

Answer:

X=180-124

X=56

Bpwxjpwxjwxwx

Answer:

56

Step-by-step explanation:

180 - 124 = 56

PLZ HELP I WILL GIVE BRANLIEST

Myrna wants to know how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns.


3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2


The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?


A. All middle school students own jeans.

B. The average middle school student owns around two pairs of jeans.

C. Most seventh-grade students prefer cargo pants to jeans.

D. An average middle school student owns three or more jeans.

Answers

Answer: B-The average middle school student owns around two pairs of jeans.

Step-by-step explanation:

16)
6 points
Bowling shoes cost $69.95 per pair. You need two-
new pairs of shoes. What is the better Incentive?
Buy one pair, get the second pair at half price
Or
2 palrs for $100.00
Buy one pair get the second at half price
O 2 pairs for $100

Answers

The answer is buying 2 pairs for $100

Find the product (2y - 6)^2

Answers

The product (2y - 6)² of the  algebraic expression gives 4y² - 24y + 36

How to find the product (2y - 6)²?

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The product (2y - 6)² can be written as:

(2y - 6)² = (2y - 6)(2y - 6)        (clear the parenthesis)

             = 2y(2y - 6) -6(2y - 6)

            = 4y² - 12y - 12y + 36

            =  4y² - 24y + 36

Learn more about algebraic expressions on:

brainly.com/question/4344214

#SPJ1

PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

b represents the outlier

Step-by-step explanation:

Answer:

I think its B its the outer line if not then sorry

Step-by-step explanation:

The ratio of the number of Rutgers basketball fans to the number of Seton Hall basketball fans is 10:2. What fraction of the fans are Seton Hall fans?

Answers

Answer:

1/6 of the fans are Seton Hall fans

Answer:

2/12

srry if I'm wrong

plss help me i really need help plsss my school is amost done so plss help me

Answers

Answer:

cant really help since I cant draw it out, just count the numbers, for example if its (5,4) start from the middle and go 5 pointa to the right and 4 points up and mark it, if its (-5. -4) go 5 points left and 4 points down

Find the GCF:
95, 145

Answers

Answer: 5

Step-by-step explanation:

Find the prime factorization of both these numbers:

95 = 5 * 19

145 = 5 * 29

The largest common factor is 5

Your answer would be 5
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