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3 years ago

Learning Task 3: Solve the given problems. Write your answers in your answer sheet.

Mathematics

1 answer:

KonstantinChe [14]3 years ago

3 0

Answer:

Team Nara collected more water

1.402 > 1.045

so team nara wins

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A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $3

Mandarinka [93]

Answer:

With $30, Peter can afford 5 hours

Step-by-step explanation:

Given

Insurance Charge = $7.5

Charges = $4.5 per hour

Required

Determine the number of hours $30 can afford

First, we need to determine the equation.

<em>Total Charges = Charges per hour + Insurance Charge</em>

Substitute values for Charges per hour and Insurance Charge

Total Charges = 4.5 per hour + 7.5

Let the number of hours be n;

So,

Total Charges = 4.5n + 7.5

To calculate Peter's; substitute 30 for total charges

$30 = 4.5n + 7.5$

Subtract 7.5 from both sides

$4.5n = 30 - 7.5$

$4.5n = 22.5$

Divide both sides by 4.5

$n = \frac{22.5}{4.5}$

$n = 5$

Hence;

<em>With $30, Peter can afford 5 hours</em>

3 0

3 years ago

Select the two values of x that are roots of this equation 3x^2 + 1 =5x

Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

$3x^{2} + 1 = 5x$ ⇒ $3x^{2} -5x + 1 = 0$

(2) Divide the whole equation by 3

$3x^{2} -5x + 1 = 0$ ⇒ $x^{2} -\frac{5}{3}x + \frac{1}{3}= 0$

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

$\frac{-b±\sqrt{b^{2} - 4ac}}{2a}$ (1)

In this case, a = 1, b = $-\frac{5}{3}, c= \frac{1}{3}$

Substituiting a, b and c in equation (1) We get:

$\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)}$ (1)

The two solutions are:

x = 1.434 and x=0.232

8 0

2 years ago

How do you solve 5 1/4 - 2 3/4

CaHeK987 [17]

$5 \frac{1}{4 } - 2 \frac{3}{4}$

$\frac{21}{4} - \frac{11}{4}$

$\frac{21 - 11}{4}$

$\frac{10}{4}$

$\frac{5}{2}$

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3 years ago

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What numbers are greater than 20 that has 9 as a factor

OLga [1]

Any of 9's multiples besides 9 and 18 will work.

So: 27, 35, 45, 54 ,63, 72, 81, 90, 99, 108, 117, 126, 135, and so on

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2 years ago

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A _______, which operates by a belt that connects to the crankshaft, pressurizes the air entering the intake manifold to improve

Leokris [45]

D is the answer supercharge

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3 years ago

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