The refinery melts 1.25 tons of trash in 2 hours. If the furnace only melts trash Monday through Friday, 6am to 6pm, how many tons of trash is melted in a week?

Complete question :

The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answer:

21 runners

Step-by-step explanation:

Mean, μ = 13 seconds

Standard deviation, σ = 0.3

Lana's race time = 13.2

We find the proportion of runners who had race time above 13.2 ;

Proportion of who had race tune above 13.2

P(x > 13.2)

Obtain the Zscore

Zscore = (x - μ) / σ

Z = (13.2 - 13) / 0.3

Zscore = 0.2 / 0.3 = 0.6667

P(Z > 0.6667) = 0.25239 (Z probability calculator)

This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)

Hence, Number of runners Lana beat = 25% of total runners ;

0.25 * 84 = 21

Hence, Lana beat about 21 runners

Answer:

AB=24

BC=32

AC=40

Step-by-step explanation:

Double means to multiply by 2 so do that for each side

AB=12*2=24

BC=16*2=32

AC=20*2=40

Answer:

B= 9.78 or 9.8

Step-by-step explanation:

S is for Squared

Cs= As+Bs

Bs= Cs-As

Bs=14s-10s

Bs=196-100

Bs=96

B is the square root of Bs

square root 96

B=9.78

Answer:

Step-by-step explanation:

Area of sector = ½ r² ∅

1/2 ( 9^2) pi/6

81 x pi/6 x 1/2

81 x (0.52359877559) x 1/2

Area of sector = 21.21

Answer:

A 1/6

Step-by-step explanation:

i got this because if you add all the marbles it is 12 so the real percentage would be 3/12 but they divided it by 2 to get 1/6

Answer:

a) 7, 10, 13, 16, ..., 34

Step-by-step explanation:

I'll only solve part a and you'll be able to do part b.

You're given:

3n+4

to find the first four terms, just plug in n = 1, 2, 3, 4 into n.

for n=1: 3(1)+4 = 7

for n=2: 3(2)+4 = 10

for n=3: 3(3)+4 = 13

for n=4: 3(4)+4 = 16

as you might guess, to find the 10th term, you plug in n=10.

for n=10: 3(10)+4 = 34

Answer:

40.2

Step-by-step explanation:

law of cosines

x^2=40^2+28^2-2*28*40*cos(70)

put in calculator and square root the answer

40.222.... is approximately 40.2

Answer:

5/9m

Step-by-step explanation:

5/6 x 2/3

Answer:

t=1.78

Step-by-step explanation:

Answer:

38 is the maximum value

Step-by-step explanation:

First we should graph each inequality. Then we can find the points on the intersecting region and take those points and plug them into the equation P = 4x + 5y. Then we can find the maximum value from there. The maximum value is tied to the point (7, 2), with P = 38. :)

Answer:

Question 1: x = 3, y = 2

Question 2: x = 0.5

Step-by-step explanation:

Question 1 explanation: In a parallelogram, both the horizontal and the vertical sides are equal, this means that [tex]2y + 3 = y + 5[/tex] ⇒ [tex]y = 2[/tex]. Since you've already figured out the value of y, you can input the value to side QR to help find x. [tex]4x-3=4*2+1[/tex] ⇒ [tex]4x-3=9[/tex] ⇒ [tex]4x=12[/tex] ⇒ [tex]x=3[/tex]. So x equals 3 and y equals 2.

Question 2 explanation: Since side AE is equivalent to side EC, that means quadrilateral ABCD is a parallelogram. In a parallelogram, the diagonal lengths from the corners of the shape to the center are equal, which means [tex]10x = 2x + 4[/tex] ⇒ [tex]8x=4[/tex] ⇒ [tex]x = 0.5[/tex].

Answer:

11

Step-by-step explanation:

I did the square root method.

hope this helps!

Answer:

42 minutes for 21 songs

Step-by-step explanation:

My way to go about solving these is weird, so sorry in advance

76 minutes / 38 songs = 2 minutes per song,

so for 21 songs its 21x2 or 42

42 minutes for 21 songs

-Gage Millar, Algebra 2 tutor

1.  if two planes intersect, then their intersection is a line

2. Space contains at least four points not all on one plane.

3. Through any two different points, exactly one line exists

i dont under stand number 4 but ur welcome

Answer:

t ≥ 10

Step-by-step explanation:

Since the student needs at least 10 hours of driving time, they need greater than or equal to 10 hours to pass.

Answer:

ex2 = e4x+5 --> 5, -1

ln(x+5)=ln(x-1)+ln(x+1) --> 3

log(4)(5x^(2)+2)=log(4)(x+8) --> -1, 6/5

log(x-1)+log5x=2 --> 5

Step-by-step explanation:

None needed

Answer:

10 visits

Step-by-step explanation:

John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer.

Let the number of visits be represented as: x

For John

John decided to go to Planet Fitness, which costs $30 to join, and $5 per visit.

The equation = $30 + $5 × x

= 30 + 5x

For Caleb

Caleb decided to go to Club4Fitness, which just charges $8 per visit.

The Equation = $8 × x

= 8x

We equate both equations to each other

30 + 5x = 8x

Collect like terms

30 = 8x - 5x

30 = 3x

x = 30/3

x = 10

Therefore, John and Caleb would spent the same amount of money after 10 visits.

Answer:

x = 5

Step-by-step explanation:

1/5(3x - 15) = -4(3/5x - 3)

Distribute the 1/5 in.

3x/5 - 3 = -4(3/5x - 3)

Distribute the -4 in.

3x/5 - 3 = -12x/5 + 12

Multiply both sides by 5.

3x - 15 = -12x + 60

Add 15 to both sides.

3x = -12x + 75

Add 12x to both sides.

15x = 75

Divide both sides by 15 to get

x = 5

Proof:

1/5(3x - 15) = -4(3/5x - 3)

1/5(3(5)-15) = -4(3/5(5) - 3)

1/5(15 - 15) = -4(3 - 3)

1/5(0) = -4(0)

0 = 0

Answer:

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.

In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse).

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse.

The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated as "tan"

Step-by-step explanation:

Answer:

147 square yards

Step-by-step explanation:

Area = 21 x 14 x 1/2

Area = 294 x 1/2

Area = 147 yd ^ 2

Hope that helps! :)

-Aphrodite

Answer:

try 1/3/4/5 cuz i don't know

I need help too so your not alone

Answer:

13/2

Step-by-step explanation:

5 2/3 gets changed to 13/3 and you multiply that by 3/2 because of keep change flip. After multiplying you get 39/6 and you simplify to get 13/2.

Answer:

∠7=22°

Step-by-step explanation:

∠2 and ∠7 are supplementary angles, meaning they add to 90°.

∠2+∠7=90°

substitute ∠2

68°+∠7=90°

∠7=22°

Answer:

see explanation

Step-by-step explanation:

8

If you take the square root of 52 and then divide by two you get about 3.6. You take i and multiply it by that and you get 4. Then divide 40 by 2 to get 20. Then you subtract the inverse of the mulltiagion thereom to get 4.

4+4=8

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

No

0.5 ≠ 0.8

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

No, it is not.

Step-by-step explanation:

The reason is that if you simplified  4/8, you will get 1/2. When you simplified 8/10, you will get 4/5. 1/2 and 4/5 aren't the same number or equivalent to each other so the answer will be no.

Hope that helps. If you need help with anything, let MissAsker know :)!

Answer:

152 miles add

all non-fractions =149 then add all fractions (5 miles) so it adds up to 152