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3 years ago

Devide 60 in the ratio of 2:3

Mathematics

2 answers:

nevsk [136]3 years ago

5 0

Answer:

Let the amounts be 2x and 3x.

Then 2x+3x=60

So, 5x=60

So, x=60/5=12

So, amounts are

2x=2*12=24

And 3x=3*12=36

Hope this helps you!

Step-by-step explanation:

Volgvan3 years ago

3 0

Vide 60 into two parts in the ratio 2 : 3.

Solution:

The two parts are 22+3
2
2
+
3
× 60 and 32+3
3
2
+
3
× 60

i.e., 25
2
5
× 60 and 35
3
5
× 60

i.e., 24 and 36

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on Serena's 10th birthday her mom was 3 times her age.How old will Serena and her mom be when her mom's age times 0.5 equals Ser

alex41 [277]

When Serena is 10, her mom is 3*10=30. Her mom is 20 years older than Serena.

If her mom's age divided by half is equal to Serena's, then she will be twice as old as Serena.

20 + 20 = 40
20 * 2 = 40

Serena will be 20, her mom will be 40.

6 0

2 years ago

Read 2 more answers

Pls help me! And explain how you found the answer pls

Dmitriy789 [7]

Answer:

y = $\frac{1}{2}$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)

m = $\frac{-12+14}{-18+22}$ = $\frac{2}{4}$ = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 18, - 12) , then

- 12 = - 9 + c ⇒ c = - 12 + 9 = - 3

y = $\frac{1}{2}$ x - 3 ← equation of line

6 0

3 years ago

Bob Nale is the owner of Nale's Texaco GasTown. Bob would like to estimate the mean number of litres (L) of gasoline sold to his

Fudgin [204]

Answer:

The point estimate of the population mean is $\= x = 56$

The 80% confidence level is $50.57 < \mu < 61.43$

There is 80% confidence that the true population mean lies within the confidence interval.

Step-by-step explanation:

From the question we are told that

The sample size is n = 18

The standard deviation is $\sigma = 18 \ L$

The sample mean is $\= x = 56$

Generally the point estimate of the population mean is equivalent to the sample mean whose value is $\= x = 56$

Given that the confidence interval is 80% then the level of significance is mathematically represented as

$\alpha = 100 - 80$

$\alpha = 20 \%$

$\alpha = 0.20$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is $Z_{\frac{ \alpha }{2} } = 1.28$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.28 * \frac{18 }{\sqrt{18} }$

=> $E = 5.43$

Generally the 80% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $56 - 5.43 < \mu < 56 + 5.43$

=> $50.57 < \mu < 61.43$

The interpretation is that there is 80% confidence that the true population mean lies within the limit

3 0

3 years ago

Plz help with slope question

nasty-shy [4]

Answer:

The equation in slope-intercept form:

$y = -3x - 4$

Step-by-step explanation:

Use the point-slope formula:

$y-y_{1} = m (x-x_{1})$

Use the given slope $-3$ and point $(0,-4)$ for the formula:

$y + 4= -3 (x-0)$

-Then, you solve the formula:

$y + 4 = -3 (x-0)$

$y+4 - 4 = -3 (x-0) -4$

$y = -3x - 4$

The equation, which is in slope-intercept form:

$y = -3x - 4$

7 0

3 years ago

Read 2 more answers

Is 3/7 greater than 2/5?

Alexus [3.1K]

Answer:

Yes, 3/7 is bigger than 2/5

Step-by-step explanation:

First, put the fraction side by side

$\frac{3}{7}$ $\frac{2}{5}$

Multiply diagonally. So multiply 3 × 5 and 2 × 7

3 × 5 = 15

2 × 7 = 14

15 >14

$\frac{3}{7}$ > $\frac{2}{5}$

4 0

3 years ago

Devide 60 in the ratio of 2:3​

Devide 60 in the ratio of 2:3