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hichkok12 [17]
3 years ago
8

A set of two or more equations with the same variables is called a system of equations. When you set the

Mathematics
1 answer:
goldenfox [79]3 years ago
8 0

Answer:

Both pools will have the same amount of water after 11 minutes and 32 seconds.

Step-by-step explanation:

Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:

Team Sunshine:

30 + (8X) = T

30 + 8x10 = 110

30 + 8x11 = 118

30 + 8x12 = 126

30 + 8x11.5 = 122

30 + 8x11.6 = 122.8

30 + 8x11.55 = 122.4

30 + 8x11.54 = 122.3

Team Breeze:

180 - (5X) = T

180 - 5x11 = 125

180 - 5x12 = 120

180 - 5x11.5 = 122.5

180 - 5x11.6 = 122

180 - 5x11.55 = 122.25

180 - 5x11.54 = 122.3

1 = 60

0.54 = X

0.54 x 60 = X

32.4

Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.

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St boniface Hospital raises funds for research through its annual dinner and Gala event.For this event 353 tickets are available
nignag [31]

Given:

Total number of tickets = 353

Single ticket = $92

Family ticket = $122

Total sales = $39946

To find:

The number of family tickets.

Solution:

Let x be the number of single tickets and y be the number of family tickets.

Total tickets: x+y=353         ...(i)

Total sales: 92x+122y=39946          ...(ii)

Multiply (i) by 92 and subtract the result from (ii).

92x+122y-92(x+y)=39946-92(353)

92x+122y-92x-92y=39946-32476

30y=7470

Divide both sides by 30.

y=\dfrac{7470}{30}

y=249

Therefore, the number of family tickets is 249.

5 0
3 years ago
An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground t
Over [174]

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

\angle ACB=4^{\circ}  (Alternate interior angles)

For any angle \theta, \tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put AB=532\,,\,\angle C=4^{\circ}

\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet

Distance from the base of the cliff to the point on the ground = 7608 feet

Download pptx
5 0
3 years ago
Write the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.
VikaD [51]

Answer:a) 1,2,6,24,120

Step-by-step explanation:

The formula for the nth term of the sequence is expressed as

n=(n+1)!/n+1

For the first term, n = 1. Therefore,

(1+1)!/(1+1) = 2!/2 = (2×1)/2 = 1

For the second tern, n = 2. Therefore,

(2+1)!/2+1 = 3! /3 = (3×2×1)/3 = 6/3 = 2

For the third term, n = 3, therefore

(3+1)!/3+1 = 4!/4 =(4×3×2×1)/4 = 6

For the fourth term, n = 4. Therefore

(4+1)!/4+1 = 5!/5 = (5×4×3×2×1)/5 = 24

For the fifth term, n = 5. Therefore

(5+1)!/5+1 = 6!/6 = 6× 5×4×3×2×1)/6 = 120

4 0
3 years ago
Read 2 more answers
Hi can you please help me with my work
xenn [34]
A, D, and E are true

One X on the line plot marks one time something happened. So the two x’s above the 1 means that he practiced piano for one hour (see to the right that says hours next to the numbers, so 1=1 hour) two times.

45 minutes is 3/4 of an hour, and is the mark right between 1/2 and 1. There is one x above this mark, so that means Thaddeus practiced for 45 minutes one time, so B is false

Thadeus practiced piano for 30 minutes two times, so C is false because he didn’t mostly practice for thirty minutes.

D is correct because there are 2 Xs above the 0, which means two times he practiced for zero hours, which means he didn’t practice at all.

E is correct because 15 minutes is 1/4 of an hour, so it is the mark between 0 and 1/2. We see there are three x’s there, so that means he practiced for 15 minutes 3 times.

I hope this helps! Let me know if you want me to explain it differently.
4 0
3 years ago
A measure that describes the typical value of a data set
jonny [76]

<u>e</u>

<u>measure of center</u>

as A measure that describes the typical value of a data set mean,median and mode.

6 0
3 years ago
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