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morpeh [17]
2 years ago
12

A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.

Mathematics
1 answer:
Genrish500 [490]2 years ago
8 0

Answer:

\frac{1}{10}

Step-by-step explanation:

Let t represent the cost of the torch and b represent the cost of the battery.

The torch and a battery cost £2.50 altogether.

\Rightarrow t+b=2.50

The torch costs £2.00 more than the battery.

\Rightarrow t=b+2.00

We substitute the second equation into the first equation to get;

\Rightarrow b+2.00+b=2.50

\Rightarrow 2b=2.50-2.00

£2.50

\Rightarrow 2b=0.50

\Rightarrow b=0.25

The price of the battery is £0.25

We express this as a fraction of the total cost which is £2.50 to get;

\frac{0.25}{2.5}=\frac{1}{10}

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The circumcircle passes by all three of the triangle's vertices.

Based on the above, the right choiceS will be:
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3 0
2 years ago
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A mile-runner’s times for the mile are normally distributed with a mean of 4 min. 3 sec. (This would have to be expressed in dec
Vinvika [58]

Answer: 0.0668

Step-by-step explanation:

Given: Mean : \mu=\text{4 min. 3 sec.=4.05 minutes}

Standard deviation : \sigma = \text{2 seconds=0.033333 minutes }

The formula to calculate z-score is given by :_

z=\dfrac{x-\mu}{\sigma}

For x= 4 minutes  , we have

z=\dfrac{4-4.05}{0.03333}\approx-1.5

The P-value = P(z\leq-1.5)=0.0668072\approx0.0668

Hence, the probability that on a given run, the time will be 4 minutes or less = 0.0668

8 0
2 years ago
Isoke is solving the quadratic equation by completing the square.10x2 + 40x – 13 = 0 10x2 + 40x = 13 A(x2 + 4x) = 13What is the
Elina [12.6K]

we have

10x^{2} + 40x - 13 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

10x^{2} + 40x =13

Factor the leading coefficient

10(x^{2} + 4x) =13 ----------> the value of A is 10

Complete the square. Remember to balance the equation by adding the same constants to each side

10(x^{2} + 4x+4) =13+40

10(x^{2} + 4x+4) =53

Rewrite as perfect squares

10(x+2)^{2} =53

10(x+2)^{2} =53  \\ (x+2)^{2} =\frac{53}{10} \\ \\ x+2=(+/-)\sqrt{\frac{53}{10}}  \\ \\ x1=-2+\sqrt{\frac{53}{10}}\\ \\ x2=-2-\sqrt{\frac{53}{10}}

therefore

the answer is

the value of A is 10

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2 years ago
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Lilly and Alex went to a Mexican restaurant. Lilly paid $9 for 2 tacos and 3 enchiladas, and Alex paid $12.50 for 3 tacos and 4
Tema [17]
Let's call Tacos t and Enchiladas e. 
Lily paid $9 for 2t and 3e
Alex paid $12.50 for 3t and 4e.
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2t + 3e = 9.00
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A pair of boots marked for $25 was sold at $15. What was the
patriot [66]

Answer:

40%

Step-by-step explanation:

Original price: $25

Discounted price: $15

Amount of discount: $25 - $15 = $10

The boots sold for $10 less than the original price.

To find the percent discount, we need to find what percent of $25 is $10.

percent = part/whole * 100%

percent = 10/25 * 100%

percent = 0.4 * 100%

percent = 40%

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