Which value of x from the set { 8 , 11 , 61 , 67 } makes the equation ( x − 3 )² = 64 true?

8
11
61
or 67

Answer:

25x + 35(2x) = 380

25x + 70x = 380

95x = 380 so

x = 4

then i think that mean it might be 8 then im not completly sure

Answer:

2 hours

Suzy would earn $40

Bill will earn $40

they will both earn $80

Step-by-step explanation:

The total amount suzy earns is a function of the total hours worked. Let t represent time

total income of suzy = $20t eqn 1

Bill's income = starting bonus + variable pay

= $20 + $10t

We are looking for when they would earn the same amount :

20t = $20 + $10t  eqn 2

collect like terms and solve for t

10t = $20

t = 2 hours

Substitute for t in either eqn 1 or 2

20(2) = $40

Suzy would earn $40

Bill will earn $40

they will both earn $80

First, order the number set from least to greatest:

3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20

Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:

(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10

(97)/10 = 9.7

Mean: 9.7

Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:

8 & 9 are the median numbers:

(8 + 9)/2 = (17)/2 = 8.5

Median: 8.5

Mode: The mode is the number(s) in the set that shows up the most:

Mode: 4 (shows up one more time than all other numbers)

Range:  The range can be found by subtracting the least number from the greatest number in the number set:

Range: 20 - 3 = 17

Range: 17

~

Answer:

This app "Brainly" Is for students by student.

Step-by-step explanation:

Its a platform that allow students to ask students questions, and you help each other out. The points are just a way to reward people for answering.

Hope this helps!

All the love, Ya boi Fraser :)

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeessssssssssssssssssssssssssssAnswer:

Step-by-step explanation:

Mean = 28.3 , Median = 28.5, Mode = 35, Standard deviation = 5.2

(All of the above are rounded off to one decimal place)

The given data are : 20, 22, 26, 27, 30, 31, 35, 35

We know that, mean = (sum of samples)/(no. of samples)

                                   = (20+22+26+27+30+31+35+35)/8

                                   = 226/8 = 28.25 = 28.3 (approx)

Here, median = (sum of 4th & 5th sample)/2

                       = (27+30)/2 = 57/2 = 28.5

Since 35 appears highest number of times, i.e. 2 times, then we can say that mode is equals to 35

Standard deviation = √{(20-28.3)²+(22-28.3)²+(26-28.3)²+(27-28.3)²+(30-28.3)²+(31-28.3)²+(35-28.3)²+(35-28.3)²}/8

= √{68.89+39.69+5.29+1.69+2.89+7.29+44.89+44.89}/8

= √(215.52/8) = √(26.94) = 5.190 = 5.2 (approx)

Learn more about mean, median, mode, and standard deviation here :

https://brainly.com/question/21498951

#SPJ2

Answer:

your answer would be 1253in^3

Step-by-step explanation:

there are two boxes

one box has the dimensions 7,5,5

the other has the dimensions 14,11,7

you would have to multiply all the dimensions

7*7*5=175

14*11*7=1078

then you add the two products together

1078+175=1253

hope this helps! have a nice day :)

Answer:

1253in^3

Step-by-step explanation:

7*7*5=175

14*11*7=1078

then you add the two products together

1078+175=1253in ^3

i hoped i helped ^ ^

Answer:

Step-by-step explanation:

x^2 + 3x + 2 = (x+1)(x+2)

x^2 + 4x + 3 = (x+1)(x+3)

LCM = (x+1)(x+2)(x+3) = (x^2 + 3x + 2) (x+3) = x^3 + 6x^2 + 11x + 6

Step-by-step explanation:

1st expression

x2 + 3x + 2

x²+2x+x+2

x(x+2)+1(x+2)

(x+2)(x+1)

2nd expression

x2 + 4x + 3

x²+3x+x+3

x(x+3)+1(x+3)

(x+3)(x+1)

L.C.M=(x+1)(x+2)(x+3)

Answer: 8

Step-by-step explanation:

Answer: 8 pizzas.

Step-by-step explanation:If she is ordering 4 pizzas for 15 people then that simply means that the fraction is 4/15, 15*2 is 30, so that means that our next fraction (Equivalent fraction) will be like this 4/15 = -/30. What ever. Happens to the numerator must happen to the denominator and vice versa. So 4*2 is 8. So the answer is 8.

Answer:

5

Step-by-step explanation:

Answer: The number is 0

Step-by-step explanation:

8 = 7x + 8

Then we solve it:

8 = 7x + 8

8 - 8 = 7x

0 = 7x

0 ÷ 7 = x

x = 0

hope this helps have a nice day

Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

Answer:

x=20

Step-by-step explanation:

ok so that is a pentagon and if you didnt know all of the angles in a pentagon add up to equal 540

so we setup an equation which would be

7x+4x+5+4x+10+5x-5+6x+10=540 and now we just solve for x

step 1 combine like terms

7x+4x=11x

11x+4x=15x

15x+5x=20x

20x+6x=26x

5+10=15

15-5=10

10+10=20

now we have

20+26x=540

step 2 subtract each side by 20

20-20 cancels out

540-20=520

now we have 26x=540

the final step is to divide each side by 26

26/26 cancels out

540/26=20

x=20

hope this helps :D

Answer:

47.74

Step-by-step explanation:

Answer:  B. 2/3; 1

Use the slope-intercept form  y  =  m  x  +  b  to find the slope  m  and y-intercept  b .

Slope:  

(2) /(3)

y-intercept:  

( 0 ,  1 )

Step-by-step explanation:

Find the slope and y-intercept of the equation. y = (2)/(3)x + 1

Find the Slope and y-intercept

Answer:

.......................................................

Answer:

she walked the fastest around the 2 hour mark and she walked 4 miles per hour

Step-by-step explanation:

This slope is the steepest if we count it, and it comes out to 4 miles per hour.

Thanks for Brianliest :D

Answer: -46

Step-by-step explanation: Place -7 into the equation. 4(-7-5)+2= 4*-7=-28,-4*5=20. Negative 28 minus 20 is -48. Negative 48 + 2 is -46.

Answer:

The X- intercept is (7/5,0) and the Y intercept is (0,-21/2)

Step-by-step explanation:

Answer:

1: 25c+10

2: 29a+18b

3: -2b+24n+11-12m

4: 23m+10

5: 8x+3y+16

Answer:

112*

Step-by-step explanation:

The easy way to figure this out is to take the two numbers we do have and add them together. 50 + 62 = 112

We now now the complete angle if that line was not there in the middle. and sice that angle is the same at angle X it is automatically the same, 112. If you don't understand please comment and let me know.

Answer:

B. 117 cm

Step-by-step explanation:

you just multiply them :)

Answer:

117 cm³

(Answer B)

Step-by-step explanation:

The volume is the product of the base area and the height, that is,

V = 13 cm² * 9 cm = 117 cm³

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer:

A

Step-by-step explanation:

Hope this will help

Answer:

I think so it is option A)

I hope this might help u

Answer:

B) 114.511m^3

Step-by-step explanation:

Formula of a cylinder is πr^2 x h

r = radius (half of diameter)

h = height

Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2

Half of the diameter is 2.25. 2.25^2 = 5.0625.

The volume of the cylinder = 5.0625π x 7.2

By solving this, you will get approximately 114.511 m^3 as your answer.

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

Answer:

x=15 degrees

Step-by-step explanation:

You know that the right angle is split in half to 45 degrees and 3x degrees. Because a right angle is equal to 90 degrees, 3x has to be equal to 45. Therefore, the equation will be 3x=45. You want to make x equal one so you have to divide 3 by each side. The equation will be x=45/3. Simplify that to get x=15. Therefore, x=15 degrees.

If this has helped you, please mark this answer as the brainliest

Answer:

[tex]\boxed {\sf Parallel: 7 }[/tex]

[tex]\boxed {\sf Perpendicular: -\frac{1}{7}}}[/tex]

Step-by-step explanation:

First, identify the slope.

We are given the line y=7x-5.

This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.

Now, find the parallel and perpendicular slopes.

1. Parallel Slope

Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.

2. Perpendicular Slope

Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.

A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.

Answer:

I'll help

Step-by-step explanation:

Parallel lines have the same slope so it will be 7.

And perpendicular lines if you multiply them together they have to add up to -1,

So 7 you change it to its opposite which is 1 over 7 and yeah just

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.