The floor of a ballroom has an area of 2,470 square feet.
If the length of the floor is 65 feet, what is its width?

Answer:

x = 16

Step-by-step explanation:

I could be wrong so sorry in advance lol but this is what I did:

I made the equation 3x + 3 = ((7x-10)/2)

I divided the 2nd equation by 2 so that it would be the same length as RZ.

after that, I got: 3x + 3 = 3.5x - 5

from there, i did basic algebra to get the answer 16

hope this helps!

Answer:

x² - 4x - 5 = 0

Width of rectangle = 5 inch

Length of rectangle = 2 inch

Step-by-step explanation:

Given:

Area of rectangle = 10 inch²

Length of rectangle = 2[Width of rectangle] - 8

Find:

Equation

Value of length and width

Computation;

Assume;

Width of rectangle = x

So,

Length of rectangle = 2[Width of rectangle] - 8

Length of rectangle = 2x - 8

Area of rectangle = Length × Width

10 = x(2x - 8)

2x² - 8x - 10 = 0

Divide by 2 from both side

x² - 4x - 5 = 0

x² - (5-1)x - 5 = 0

x² - 5x + x- 5 = 0

x(x - 5) + 1(x - 5)

x = 5 and x = -1

So,

Width of rectangle = 5 inch

Length of rectangle = 2x - 8

Length of rectangle = 2(5) - 8

Length of rectangle = 2 inch

Answer: see below

Step-by-step explanation:

The shape is a trapezoid

Base 1 (BH) is 10

Base 2 (QA) is 14

Height is 5

Area

[tex]A=\frac{base_{1} +base_{2} }{2} h[/tex]

[tex]A=\frac{10+14}{2} *5\\A=12*5\\A=60[/tex]

Find distance between QB and HA

[tex]D=\sqrt{(x_{2} -x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}[/tex]

Q( -4,4)  B (-2,9)

[tex]D=\sqrt{(-2--4)^{2}+(9-4)^{2} } \\D=\sqrt{2^{2} +5^{2} } \\D=\sqrt{29}[/tex]

Perimeter

[tex]P=10+14+2\sqrt{29} \\P=24 +2\sqrt{29} \\P= 24+10.77\\P=34.77[/tex]

Answer:

The probability that the monthly mortgage is between 2300 and 3140 is: 0.23167

Step-by-step explanation:

Given

[tex]\mu = 2870[/tex] --- the average

[tex]\sigma = 470[/tex] --- the standard deviation

Required [Missing from the question]

Monthly mortgage is between 2300 and 3140

This is represented as:

[tex]P(2300 < x < 3140)[/tex]

This is calculated as:

[tex]P(a< x < b) = P(z_a < Z < z_b)[/tex]

[tex]P(2300< x < 3140) = P(z_b < Z < z_a)[/tex]

Calculate the z scores

[tex]x = 3140[/tex]

[tex]z = \frac{3140 - 2850}{470}[/tex]

[tex]z = \frac{290}{470}[/tex]

[tex]z = 0.6170[/tex]

[tex]x = 2300[/tex]

[tex]z = \frac{3140 - 2300}{470}[/tex]

[tex]z = \frac{840}{470}[/tex]

[tex]z = 1.7872[/tex]

So, we have;

[tex]P(2300< x < 3140) = P(1.1787 < Z < 0.6170)[/tex]

This is then calculated as:

[tex]P(a < Z < b) = P(Z < a) - P(Z <b)[/tex]

[tex]P(a < Z < b) = P(Z < 1.1782) - P(Z <0.6170)[/tex]

[tex]P(2300< x < 3140) = P(Z < 1.1782) - P(Z <0.6170)[/tex]

Using the z table:

[tex]P(Z<0.6170) =0.73138[/tex]

[tex]P(Z<1.7872) =0.96305[/tex]

[tex]P(2300< x < 3140) = 0.96305 - 0.73138[/tex]

[tex]P(2300< x < 3140) = 0.23167[/tex]

Answer:

-8

Step-by-step explanation:

Plug in -4 for w,  2(-4)2+8     (2x-4x2+8)

2 x -4 x 2 =-16

-16+8= -8

Answer:

amita can only use and it is only 2

2

Answer:

31.3%

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Five trials, probability of a success is 50%.

This means that [tex]n = 5, p = 0.5[/tex]

Probability of exactly two successes

This is P(X = 2). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.313[/tex]

0.313*100% = 31.3%

Answer:

70°

Step-by-step explanation:

n+20=90° [being a right angelled triangle]

or, n=90°-20°

therefore n=70°

I guess this is the answer but please confirm first.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Base of the parallelogram = 10

Height of the parallelogram = 12

Therefore,

Area of the parallelogram = base × height

= 10 × 12

= 120

Hence,

Area of the parallelogram is 120 square units (Ans)

Answer:

One of the possible dimensions of the full trailer could be 5 by 12 by 3.

Step-by-step explanation:

Volume = weight times height times length = 12 times 5 times 3 = 180.

Answer:

∠TUX and ∠WXU

Step-by-step explanation:

Alternate interior angles are angles that lie on the inside of the parallel lines, but different sides.

∠TUX is on the left side.

∠YXU is on the right side.

Therefore, ∠TXU and ∠WXU are alternate interior angles.

Answer:

25.13 centimeters

Step-by-step explanation:

Answer:

-6 <= g < 3

Step-by-step explanation:

-6 <= g < 3

Step-by-step explanation:

it's 13/16

I have done the processs:))

Answer:

D. 13/16

Step-by-step explanation:

D is the correct answer. hope this helps

Answer:

hahahahahaha yes hnjoo

Answer: The mode is 3

The range is 12

Step-by-step explanation:

The mode is the most frequently appearing number

3

The range is the difference between the highest and lowest numbers

12 - 0 = 12

Answer:

use photo math it's great and free

Answer:

the answere is y=543.2

Step-by-step explanation:

thats it

Answer:

2/ triple need video for the third answer

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

By using the formula y2-y1/x2-x1

Answer:

Step-by-step explanation:

52*3:4+1=40 There are 52 weeks in a year, 3/4 of 52= 39 , 1 week longer than it 39+1=40

Step-by-step explanation:

hope this helps have a great day!

Answer: 2

Step-by-step explanation:

Answer:

To find the value of x, add 5 to each side.

x - 5 = 13

+5 +5

x = 18

:)

Answer:

80

Step-by-step explanation:

Answer: ben

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you round it to the nearest whole number, then 17.526  becomes 18 because if the first digit after the decimal(in this case,5) is 5 or greater you round to the next whole number.

If you round it to the nearest tenth, it would result in 17.5, because if the second digit after the decimal (in this case, 2) is 5 or greater you round to the next tenth of decimal.

Hope this helps!

Answer:

Step-by-step explanation:

It can be rounded down to 17.5 if rounding to 1 decimal place. If you are rounding to the nearest whole number, you would round to 18.

Hope this helps :)

Answer:

x=64°

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Explanation:

Combining all of the angles shown in the diagram leads to 360 degrees. This is because there are 360 degrees in a full rotation.

Let's add up the angles shown and set the sum equal to 360. Keep in mind that the square angle marker represents 90 degrees (aka a right angle).

180+26+x+90 = 180

x+296 = 360

x = 360-296

x = 64