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slavikrds [6]
2 years ago
9

PLEASE HALPPP

Mathematics
1 answer:
gladu [14]2 years ago
5 0

Step-by-step explanation:

\huge\mathfrak\red{Answer}

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way each 1/10 of a gallon fills 1/3 of the bin.

so 3(1/10) gallons fills 3(1/3)bins..

or

3/10 galons fills a whole bin.

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Triangles QPT and QRS are similar. Find x.
Step2247 [10]

Answer:

from those are similar, the ratio of side will be 40/24=x/20 so x=33.3333 is equal 33 and one-third.

6 0
3 years ago
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Is it possible for an x-intercept and a y-intercept to have no intercept
wel
<span>Not all functions will have intercepts</span>
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The probability all of the students in this class will be present and on time is 3/10. The probability all of the students are p
cestrela7 [59]

Answer:

3/4

Step-by-step explanation:

A: students present
B: students on time

P(all students present and on time) = P(A and B) = 3/10
P(all students present) = P(A) = 2/5

P(A and B) = P(A).P(B|A) where P(B|A) is the probability of everyone being on time given that everyone is present

So P(B|A) = P(A and B) /P(A) = 3/10 ÷ 2/5 = 3/10 * 5/2 = 15/20 which can be reduced to 3/4 by dividing numerator and denominator by 5

7 0
2 years ago
If the date of the second Thursday of the month is a perfect square, what is the date of the last Monday of the month?
Inga [223]

Answer:

last Monday is 27

Step-by-step explanation:

perfect square: 4, 9 , 16

2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.

last Monday is 27

Sun Mon Tue Wen Thu Fri Sat

                                  9     10  11

12    13      14     15     16     17  18

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

26    27

3 0
3 years ago
A guy-wire extends from the top of a cell phone tower to a point on the
Fed [463]

Answer:

79.1 ft

Step-by-step explanation:

Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.

Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.

You are looking for the length of segment AC, the guy wire length.

Triangle ABC is a right triangle with right angle B.

Sides AB and BC are the legs, and side AC is the hypotenuse.

We can use the Pythagorean Theorem:

(leg1)^2 + (leg2)^2 = (hyp)^2

Let one leg be a, the other leg be b, and let the hypotenuse be c.

Then you have

a^2 + b^2 = c^2

We have a = 75 ft

b = 25 ft

We are looking for c, the length of the hypotenuse.

(75 ft)^2 + (25 ft)^2 = c^2

5625 ft^2 + 625 ft^2 = c^2

6250 ft^2 = c^2

c^2 = 6250 ft^2

Take the square root of both sides.

c = 79.0569... ft

Answer: 79.1 ft

6 0
2 years ago
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