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musickatia [10]
4 years ago
13

Rosita can wax her car in 2 hours or 120 minutes. When she works together with Helga, they can wax the car in 45 minutes. How lo

ng would it take Helga, working by herself, to wax the car?
Mathematics
1 answer:
Mashcka [7]4 years ago
6 0
<h2>Time taken by Helga to wax the car is 72 minutes</h2>

Step-by-step explanation:

Let w be the work of waxing.

Rosita can wax her car in 2 hours or 120 minutes.

Time taken by Rosita = 120 minutes

\texttt{Rate of Rosita = }\frac{W}{120}

Let time taken by Helga be t,

\texttt{Rate of Helga = }\frac{W}{t}

When she works together with Helga, they can wax the car in 45 minutes.

We have

             \frac{W}{\frac{W}{120}+\frac{W}{t}}=45\\\\120t=45(120+t)\\\\120t=5400+45t\\\\t=72minutes

Time taken by Helga to wax the car is 72 minutes

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A health-food store owner buys new products for his store by borrowing against a credit line of $4,500 from one of his wholesale
tresset_1 [31]

Answer:

Loan Amount= $4500

Monthly Payment= $600

9 months= $600*9= $5400

Interest = $5400-$4500= $900

4 0
3 years ago
Which size would you see on the box for a new television whose screen measures 34.2 inches wide by 60.8 inches high ?
miss Akunina [59]

Answer:

70\ in

Step-by-step explanation:

 we know that'

The box displays the diagonal measurement of a tv.

so

Applying the Pythagoras Theorem

Let

d -----> the diagonal of TV

d^{2}=W^2+L^2

substitute the given values

d^{2}=34.2^2+60.8^{2}

d^{2}=4,866.28

d=69.8\ in

Round to the nearest whole number

d=70\ in

5 0
3 years ago
For installation with a 300-kVA, 3-phase transformer, a 480-volt primary, and a 240-volt secondary. Calculate the maximum overcu
Novay_Z [31]

By using the protection method for primary-only protection, the maximum overcurrent protection (MOCP) is equal to 451.59 Amperes.

<h3>What is MOCP?</h3>

In Electrical engineering, MOCP is an abbreviation for maximum overcurrent protection and it can be defined as the maximum allowable current rating that is required for any circuit breaker or fuse, in order to properly protect an electrical equipment, especially under uncertain or anticipated fault conditions.

Mathematically, the amount of current flowing through the primary winding of a three-phase transformer can be calculated by using this mathematical expression:

Current, I = 3-phase KVA/(1.73 × Voltage)

Substituting the given parameters into the formula, we have;

Current, I = 300,000/(1.73 × 480)

Current, I = 300,000/830.4

Current, I = 361.27 Amperes.

By using the protection method for primary-only protection, the maximum overcurrent with 25% above the current is given by:

Maximum overcurrent = 125% × Current

Maximum overcurrent = 125/100 × 361.27

Maximum overcurrent = 45,158.75/100

Maximum overcurrent = 451.5875 ≈ 451.59 Amperes.

Learn more about maximum overcurrent protection here: brainly.com/question/14284905

#SPJ1

6 0
1 year ago
A spherical boulder is 20 feet in diameter and weight almost 8 tons.Find its volume.Use 3.14 for T round to the nearest whole nu
olya-2409 [2.1K]

Answer:

4187 ft³

Step-by-step explanation:

\frac{4}{3}πr³

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 20 / 2 = 10 feet

(4/3) x 3.14 x 10³ = 4187 ft³

3 0
3 years ago
Can someone please explain in detail how to solve radical equations?<br> (1, 2, &amp;10)
BartSMP [9]

Step-by-step explanation:

- First, the radical needs to be alone on one side of the equation, if there is - 4, - 3 next to it then you'll have to transfer it to the opposite side like that:

5. (y+7)^0.5 - 4=4

(y+7)^0.5=8......

- Second, you need to square the two sides of the equation :

5.((y+7)^0.5) ^2=8^2

Y+7=64

Y+7-7=64-7

Y=57

Note: if the radical's index is (2) then you'll square the two sides of the equation, but if the index is (3) you'll have to cube the two sides of the equation, "look at the exercises 9,10"

8 0
3 years ago
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