Heng was trying to factor 10x^2+5x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model:

Answers

Answer 1

Answer:

[tex]Width = 5x + 1[/tex]

Step-by-step explanation:

Given

[tex]Area = 10x^2 + 5x[/tex]

[tex]Length = 5x[/tex]

Required (Missing)

Determine the Width?

Area is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Length

[tex]10x^2 + 5x = 5x * Width[/tex]

Factorize the right hand side

[tex]5x(5x + 1) = 5x * Width[/tex]

Divide both sides by 5x

[tex]5x + 1 = Width[/tex]

Hence, the width of the model is 5x + 1


Related Questions

Choose the correct solution for this equation X/2-12 = 24

Answers

Answer:

[tex]x=72[/tex]

Step-by-step explanation:

[tex]\frac{x}{2} -12=24[/tex]

[tex]x-24=48[/tex] (multiply [tex]2[/tex] on both sides)

[tex]x=72[/tex]

Hope this helps :)

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches.
Which measurement is closest to the volume of water in the fishbowl in cubic inches?
A 2,144.66 in
B 17,157.28 in?
C 5,461.67 in?
D 6,433.98 in.

Answers

Answer:

2, 144.6 in3

Step-by-step explanation:

Solve for x. while you solve it can you show work pls

Answers

Answer:

Step-by-step explanation:

sin24° = 8/x  multiply both sides by x

x*sin24° = 8x/x  divide both sides by sin24°

x= 8/sin 24°

x ≈ 19. 69

What is the approximate Square Root of 81.183?
A.9.5
B.9
C.8.1
D.8

Answers

Answer:

B

Step-by-step explanation:

please help me with this question ​

Answers

Answer:

it is not linear

Step-by-step explanation:

In order for the parallelogram to be a square, x=?

Answers

Answer:

x=7   Thx pls mark as brainliest

Step-by-step explanation:

In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.

For this square to be a parallelogram, all  

4

angles need to be  

90

º

. This will give us to the two sets of parallel sides.

Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to  

90

.

The equation d=11t models the distance a mouse can travel when it runs at top speed. In the equation,d is the distance in feet and t is the time in second. Complete the table WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

t = 0 , d = 0

t = 2, d = 22

t= 4, d = 44

t = 6, d = 66

Step-by-step explanation:

Here, given the equation that relates the time in seconds to the distance in feet, we want to complete the given table

From the equation, we have that d = 11t

This mean that by multiplying the time by 11, we get the distance

Thus, we have that ;

when t = 0

d = 11 * 0 = 0

when t = 2

d = 11 * 2 = 22 ft

when t = 4

d = 11 * 4 = 44 ft

when t = 6

d = 11 * 6 = 66 ft

Given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.

Equation of a Proportional RelationshipEquation that models a proportional relationship between two variables, "t" and "d" can be expressed as: d = kt.k is the constant of proportionality.

Given:

d = 11t

Find the corresponding values of d by plugging in the given values of t:

When t = 0,

d = 11(0) = 0

When t = 2,

d = 11(2) = 22

When t = 4,

d = 11(4) = 44

When t = 6,

d = 11(4) = 66.

Therefore, given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.

Learn more about proportional relationship on:

https://brainly.com/question/15618632

find the value for x!

Answers

Answer:

x=20

Step-by-step explanation:

3x+15=4x-5

20=x

The sum of 10 and Hector's age is 69 . Use the variable H to represent Hector's age.

Answers

Answer:

59? Is it H = 59?

Determine which situation could be represented by the system of linear equations given below

Answers

The answer is
56x-(23y)^9/3 = 42

HELP I NEED SOMEONE VERY GOOD IN MATH TO ANSWER 7-12 PLEASE THIS IS DUE :(

Answers

I can’t see the picture

What is the slope of the line that passes through the following points:
(4,-3), (-5,10)

Answers

the slope is -13/9
hope this helped

Answer:

13/-9

Step-by-step explanation:

The table represents the function f(x). What is f(3)?

Answers

Answer:  D) 9

Explanation:

f(3) means the value of f(x) when x = 3.

Locate 3 in the x column. The value just next to this is 9.

Therefore, f(3) = 9.

If a 5-foot man casts a 6-foot shadow, how tall is a tree that casts a
24-foot shadow?

Answers

Answer:

28.8 foot shadow

Step-by-step explanation:

to do that, you would have to make proportionate fractions. That would mean that you do 5/6 = 24/x. Then you would just cross multiply to get 5x = 144. Then you would divide to isolate x. That would give you 28.8

Can someone please help me
Which value is equivalent to the expression 3^(-3)? *
A.1/27
B.1/9
C.-9
D.-27

Answers

Answer:

A. 1/27

Step-by-step explanation:

Need answer asappp!!!

Answers

it would be 5/12! hope this helped

Yo can somebody please help me with this math problem !

Answers

Answer:

45

Step-by-step explanation:

this question was asked three times by the same account and I detailed the answer on the first

There are 82 candies. 4 candies more are added. How many are there total?​

Answers

Answer:

86

Step-by-step explanation:

82+4=86

Answer:

86 candies

Step-by-step explanation:

Just do 82+4= 86 candies

Round 7.284 to the nearest thousandth.

Answers

Answer:

7.28

Step-by-step explanation.

4 is rounded down to 80 and if you just take away the 0 in 80 its 8.

Answer:

it already is

Step-by-step explanation:

.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down

factor completely please

Answers

Answer:

it the third one

Answer:

(c-5)(3+4c)

Step-by-step explanation:

3c-15+4c^2-20c

4c^2-17c-15

Berry Method

4*(-15)=-60

What two numbers multiply by each other to get -60 but add up to -17

-20 and 3

[tex]\frac{(4c+3)(4c-20)}{4}[/tex]

(4c+3)(c-5)

Fine the UNIT RATE: 8 apples for $3
You can't do that, it doesn't divide out evenly
A..38
B..375
C.2.6666.......
D.2.67

Answers

Answer:

d

Step-by-step explanation:

8/3

The answer is d because 2.67

fing the sum of the interior angle measures of the polygon ​

Answers

The sum of interior angle is
(6-2)x180
= 720

How to i do this help me with this pls

Answers

Answer:

21.98

Step-by-step explanation:

22.98 hope this helps and good luck!!

Hi! I need the answer for this problem asap! Thank you (:​

Answers

Answer:

-14

Step-by-step explanation:

What is the slope of the line represented by the following equation?
12x+3y=7
answer choices:
-1/4
-4
7/3
-12
Please ACTUALLY HELP ILL GIVE BRAINLIEST

Answers

Answer:

The slope of the line represented by the following equation is -4

y-intercept: −1

Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)

the line through the points negative 6 comma 0 and 0 comma 2
the line through the points negative 6 comma 0 and 0 comma negative 2
the line through the points negative 2 comma 0 and 0 comma 6
the line through the points negative 2 comma 0 and 0 comma negative 6

Answers

Answer:

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

i need help asap
72x81=x 80/10=y
x+y=

Answers

Answer:

The answer should be 5840

Step-by-step explanation:

72 x 81 = x = 5832

80 / 10 = y = 8

x + y = 5832 + 8 = 5840

The Blue whale presently the largest mammal is about to 2.27 times more than the largest dinosaur. Blue whales weigh about 1.362 x 10 to the fifth power kilograms. Using scientific notation, about how much did the largest dinosaur weigh?

Answers

Answer: 60,004.41 kilograms

Step-by-step explanation:

Given: Weight of Blue whales = [tex]1.362 \times 10^5[/tex] kilograms

= [tex]1.3621\times 100000=136210[/tex]

Weight of blue whale = 2.27 x (weight of largest dinosaur )

[tex]136210=2.27\times \text{(weight of largest dinosaur)}\\\\\Rightarrow\ \text{(weight of largest dinosaur)} =\dfrac{136210}{2.27}\\\\\Rightarrow\ \text{(weight of largest dinosaur)}=60004.41[/tex]

Hence, The weight of largest dinosaur = 60,004.41 kilograms

Question 2 helpppppppppppppp

Answers

Answer:

The absolute value of -4.5 is 4.5 so plot the point at 4.5

Step-by-step explanation:

absolute value= how far that number is from zero

-4.5 is 4.5 away from zero

so the absolute value of -4.5 is 4.5

Answer:

4.5

Step-by-step explanation:

I hope yout have a good day.

The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?

A.
60%

B.
12.5%

C.
10%

D.
7.5%

Answers

Answer:

60%

Step-by-step explanation:

Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100

$19.99 - 12.5

-------------------   times 100

12.5

Follow PEMDAS

7.49 / 12.5 = 0.5592 (100) = 59.92

Round to the nearest whole number. So about 60%

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