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Andrei [34K]
3 years ago
13

A water hose at a fire station leaked 120 gallons of

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

Step-by-step explanation:

This is a proportion question

15 gallons / 4 minutes = 120 / x       Cross multiply

15x = 4 * 120                                      Combine the right

15x = 480                                           Divide by 15

x = 480/15

x = 32 minutes

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If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each s
STALIN [3.7K]

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

4 0
2 years ago
Read 2 more answers
Use the quadratic formula to find the solutions to the equation.<br> 3x2 - 10x + 5 = 0
Nitella [24]

Answer: A

Step-by-step explanation:

3x² - 10x + 5 = 0

a = 3      b = -10     c = 5

Δ = b²- 4ac = 100 - 4.3.5 = 40 > 0 => have 2 solutions

=> x = \frac{10+\sqrt{40} }{6} or x = \frac{10-\sqrt{40} }{6}

3 0
3 years ago
Read 2 more answers
A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed
musickatia [10]

Try this solution:

Answer: 6 & 4.5 (m-per-h)

Step-by-step explanation:

- The basic formula used in this task is S=V*t, where S - distance, V - speed, t - time.

- the downstream speed is: V+Vc, where V - the speed of the boat in still water, Vc - the speed of the current.

- the upstream speed is: V-Vc.

- according to the described above the distance for downstream is S1=(V+Vc)*t1, where t1=10; the distance for upstream is S2=(V-Vc)*t2, where t2=70.

- for whole travel down- and upstream: S=S1+S2.

- Using these it is possible to make up the system of the equations:

\left \{ {{(70(V-V_c)=10(V+V_c)} \atop {70(V-V_c)+10(V+V_c)=210}} \right.

V - the speed of the boat in still water - 6 miles per hour, Vc - the speed of the current - 4.5 miles per hour. All the details for the system of the equations are in the attachment.

4 0
3 years ago
What is the range of this function?
nataly862011 [7]

Answer:

{-4,-1,1,4,7,8,15,18}

Step-by-step explanation:

The range of this function is a universal set that contains all elements of each set

And is;

{-4,-1,1,4,7,8,15,18}

3 0
3 years ago
Read 2 more answers
Angles that ALWAYS sum to 180°
rosijanka [135]

Answer:

supplementary angles

Step-by-step explanation:

8 0
3 years ago
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