Please help! I will give Brainliest!
Who is correct?

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

[tex]Length=2x+7[/tex]

Area of a rectangle is:

[tex]A=length\times width[/tex]

[tex]A=(2x+7)\times x[/tex]

[tex]A=2x^2+7x[/tex]

The area of a rectangle is 99 square yd.

[tex]2x^2+7x=99[/tex]

[tex]2x^2+7x-99=0[/tex]

Splitting the middle term, we get

[tex]2x^2+18x-11x-99=0[/tex]

[tex]2x(x+9)-11(x-9)=0[/tex]

[tex](x+9)(2x-11)=0[/tex]

Using zero product property, we get

[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]

[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]

[tex]x=-9[/tex] and [tex]x=5.5[/tex]

Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.

Now, the length of the rectangle is:

[tex]Length=2x+7[/tex]

[tex]Length=2(5.5)+7[/tex]

[tex]Length=11+7[/tex]

[tex]Length=18[/tex]

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.

Answer:

6912 bushels

Step-by-step explanation:

The increase is 3 bushels per acre.

For 2304 acres, the increase is

2304 acres * 3 bushels/acre = 6912 bushels

Answer:

12x-8 ______

Step-by-step explanation:

The second bit, I have no clue. But the first is just simplifying in algebra.

Answer:

the one already selected

Answer:

The one selected

Step-by-step explanation:

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

Answer:

[tex]-2\pm i\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^2-6x+12=-10x+3\\x^2+4x+9=0[/tex]

For the quadratic formula, [tex]a=1,\,b=4,\,c=9[/tex].

[tex]\frac{-b \pm\sqrt{b^2-4ac}}{2a}=\frac{-4\pm\sqrt{16-4(1)(9)}}{2(1)}=\frac{-4\pm\sqrt{-20}}{2}\\=\frac{-4\pm 2\sqrt{-5}}{2}=-2\pm\sqrt{-5}=-2\pm i\sqrt{5}[/tex]

Answer:

16

Step-by-step explanation:

Answer:

He might have dropped it.

Step-by-step explanation:

If the manager didn't have any 5 dollar bills then he could have given him 3 dollars in ones and one 2 dollar bill. 2 dollar bills are rare now, he wanted the 2 dollar bill to keep for himself and also dropped one of the single dollar bills.

Answer:

look at the picture i sent......

Answer:

1st Option;

j = 4.5

k = 2

Step-by-step explanation:

Let's solve for "j" first:

=> We know that by the definition of midpoint segment theorem we can say;

3j = 5j - 9

0 = 5j - 3j - 9

0 = 2j - 9

0 + 9 = 2j

9 = 2j

9/2 = j

4.5 = j

=> Now that we have j-value we use the same method to solve for k-value;

6k = k + 10

6k - k = 10

5k = 10

k = 10/5

k = 2

Therefore;

j = 4.5

k = 2

So the first option would be correct!

Hope this helps!

Answer:

23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.

Step-by-step explanation:

___________Plan I___ Plan II ___Neither

Ages 26–35__ 19_____ 14_______ 17

Ages 36–45__ 14 _____28_______ 8

Ages 46–55__ 27 _____21_______ 2

Total Number who prefer plan 1 = (19 + 14 + 27) = 60

Number in the 36 - 45 age group = 14

Percentage = 14 / 60 = 0.2333 = 23%

Number of people in the 46-55 age group = (27 + 21 + 2) = 50

Number on the age group who prefer plan II = 21

Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%

Answer:

Right, I am an idiot so i might be wrong

Step-by-step explanation:

Every triangle has three angles which sum to 180 degrees.

There are three types of triangles based on the measures of its angles.

Right Triangle - Has one 90 degree angle

Acute Triangle - All angles less than 90 degrees

Obtuse Triangle - One angle greater than 90 degrees

In this example we are given 2 angles and must find the measure of the 3rd.

a + 56 + 34 = 180

a + 90 = 180

a = 90

Therefore, it is a Right Triangle.

Answer: WELL WE GO BY 150 METERS AND THAT ADDS TO TIME BUT BUT GOING TWICE YOU GET 150 METER IN ALL

Step-by-step explanation:

Answer: 1920 i think

Step-by-step explanation:

Answer: 360

Step-by-step explanation: Anytime it asks for the exterior sum it will always be 360

Answer:

0.344

Step-by-step explanation:

i cant show reasoning its just 1.6 times 0.215

Answer: 70.77 or 71 if rounded up

Step-by-step explanation:

Add all the scores then divide to 18.

Answer:

(-3‚1) lies in second quadrant.

Step-by-step explanation:

you can use that same formula to answer that same question

The volume of the rectangular prism is [tex]6.75ft^{3}[/tex]

Diagram of a rectangular prism is shown in the attachment below.

Given that:

the height (h) = 1.5 ft

base area (B) = 4.5 sq ft

Volume of rectangular prism (V) [tex]= Bh[/tex]

Plug in the known values into the formula:

[tex]V = 4.5 \times 1.5\\V = 6.75 ft^{3}[/tex]

Volume of the rectangular prism is [tex]6.75ft^{3}[/tex]

Learn more about rectangular prism here:

https://brainly.com/question/11613210

Answer:

the two numbers are six and four

Step-by-step explanation: 6+4=10    6x4=24

Answer: $1.15

Step-by-step explanation:

Data 1 can(c)=0.05

23 cans(c)=x

Only step, multiply 23x0.05=1.15

Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c

Answer: $1.15(Don't forget the dollar sign)

I hope this helps!

Answer:

b is the correct answer ok

Answer:  Slope: -1/2  

Step-by-step explanation:  To find slope take 2 points that lie on the line and use this formula to solve:   I will use (0, -2) and (2, -3) to solve

                                                                       ↑    ↑           ↑   ↑

y2 - y1                                                             x1  y1          x2  y2

-----------

x2 - x1

So, for this question, substitute the x and y values from the points above to solve.

-3 - (-2)      

----------- =  - 1/2

2 - 0

Hope this helped. :)

Answer:

24

Step-by-step explanation:

8 correct for every 2 wrong

multiply both sides by 3

24 correct and 6 wrong

which adds up to 30