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3 years ago

3/10 + 3/100 equals _ /100

Mathematics

2 answers:

sesenic [268]3 years ago

7 0

Get a common denominator.

3/10 = 30/100

30/100 + 3/100 = 33/100

Answer: 33/100

Lilit [14]3 years ago

7 0

You cross multiply 10 times 3 then add 3 equals 33/100 hope it helps

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When servicing a heating boiler and radiators, a plumber knows that the time

Elena L [17]

£110 as 45mins times 4 radiators divided by 60 mins =3 hours

3 hours + 1 hour = 4 hours
4 hours times £20= £80
£80+£30=£110

3 0

3 years ago

Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year

vlabodo [156]

Answer:

x + 5 = (x + 5) - 5, which has no solution ⇒ answer C

Step-by-step explanation:

* Lets study the situation in the problem

- Jessica is 5 years older than her sister Jenna

- After five years Jenna's age will be as old as Jessica was five years ago

- Jenna's age now is x

* Lets change all information above to equation

∵ Janna's age now is x

∵ Jessica is 5 years old than Janna

∴ The age of Jessica now is x + 5

- After 5 years Janna's age will be add by 5 years

∵ Her age now is x

∴ Her age after 5 years will be x + 5

- From 5 years ago Jessica's age was her age now mins 5 years

∵ Her age now is x + 5

∴ Her age from 5 years ago is (x + 5) - 5

∵ Janna's age after 5 years = Jessica age from 5 years ago

∴ x + 5 = (x + 5) - 5

- Lets solve the equation to know how many solution

∵ x + 5 = x + 5 - 5 ⇒ add the like terms

∴ x + 5 = x ⇒ subtract x from both sides

∴ 5 = 0

- But 5 ≠ 0, the two sides of the equation not equal each other

∴ There is no solution for this equation

* The equation is x + 5 = (x + 5) - 5, which has no solution

8 0

3 years ago

Read 2 more answers

(3 marks) A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. The battery live

Ksenya-84 [330]

Answer:

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year

This means that $\mu = 3, \sigma = 0.5$

What is the probability that a given battery will last between 2.3 and 3.6 years?

This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So

X = 3.6

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.6 - 3}{0.5}$

$Z = 1.2$

$Z = 1.2$ has a p-value of 0.8849

X = 2.3

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.3 - 3}{0.5}$

$Z = -1.4$

$Z = -1.4$ has a p-value of 0.0808

0.8849 - 0.0808 = 0.8041

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

4 0

2 years ago

Divide 28x3 + 42x2 - 35x by 7x

Fiesta28 [93]

The answer is $4 x^{2} +6x-5$

$\frac{28 x^{3} +42 x^{2} -35x}{7x} = \frac{28 x^{3} }{7x} + \frac{42 x^{2} }{7x} - \frac{35x}{7x} =4 x^{2} +6x-5$

8 0

3 years ago

Read 2 more answers

Find a number that when decreased by 15 is 4 times its opposite

ohaa [14]

The number three (3) when decreased by fifteen (15) is four (4) times its opposite.

In this exercise, you're required to solve for an unknown number by using a variable to represent the number in relation to the known variables (constants) and representing it as an algebraic expression.