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3 years ago

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david is 8 years older than stephen and 2 years younger than Graham. if Neil is 7 years younger than Graham, how much older than

Neil is David?

1 answer:

ANEK [815]3 years ago

6 0

5 years older...cause if David is 2 years younger than Graham & Neil is 7 years younger than Graham...7-2=5 years :)

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Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink ha

ICE Princess25 [194]

Answer:

Sugar concentration of the mixed soft drink will be <em>32.5%.</em>

<em></em>

Step-by-step explanation:

Sugar concentration of first drink = 20%

Volume of first soda = 250 ml

Sugar in first soda = 20% of 250 ...... (1)

Sugar concentration of second drink = 45%

Volume of second soda = 250 ml

Sugar in second soda = 45% of 250 ...... (2)

Let $x\%$ be the sugar concentration in resultant mixture.

Volume of mixture = 250 + 250 = 500 ml

Sugar in mixture = $x\%$ of 500 ml ...... (3)

Total sugar concentration (Adding (1) and (2)) and equating it to equation (3):

20% of 250 + 45% of 250 = $x\%$ of 500

$\Rightarrow \dfrac{20}{100} \times 250 + \dfrac{45}{100} \times 250 = \dfrac{x}{100} \times 500\\\Rightarrow 2 \times x = 65\\\Rightarrow x = 32.5\%$

Hence, Sugar concentration of the mixed soft drink will be <em>32.5%.</em>

8 0

3 years ago

Blank times blank times 2 equals 18 what would the blanks be

vladimir2022 [97]

3 times 3 times 2 equals 18

7 0

3 years ago

Read 2 more answers

An item is regularly priced at $60 . Jessica bought it on sale for 65% off the regular price. How much did Jessica pay?

adoni [48]

First, convert the 65% to a real mathematical number. For percents, this is always done by dividing the 65% by 100%, or 65% / 100% = 0.650.

Second, find out what 65% of $60 is. This is the amount of the sale discount. This is always found by mulitplying 0.650 by the item's cost $60, like this:

0.650 x $60 = $39.00.

So for this sale, you'll save $39.00 on this item.

This means, the cost of the item to you is

<span>$60 - $39.00 = $21.00.</span>

6 0

3 years ago

Read 2 more answers

Find the exponential function P(t)=P0a^t where P(2)=5 and P(4)=10

asambeis [7]

Answer:

$P(t)=\frac{5}{2} \cdot (\sqrt{2})^t$

Step-by-step explanation:

$P(2)=5$ meants when $t=2$ , that the value for $P(t)$ is 5.

So this gives us this equation:

$5=P_0 \cdot a^2$

$P(4)=10$ meants when $t=4$ , that the value for $P(t)$ is 10.

So this gives us this equation:

$10=P_0 \cdot a^4$

So I take equation 2 and divide it be equation 1 I get:

$\frac{10}{5}=\frac{P_0 \cdot a_4}{P_0 \cdot a_2}$

Simplifying:

$2=a^2$

Since the base for an exponential function can't be negative then $a=\sqrt{2}$ .

So plugging into one of my equations I began with gives me an equation to solve for the initial value, $P_0$ :

$5=P_0 \cdot (\sqrt{2})^2$

$5=P_0 \cdot 2$

Divide both sides by 2:

$\frac{5}{2}=P_0$

The function is:

$P(t)=\frac{5}{2} \cdot (\sqrt{2})^t$

7 0

3 years ago

PLZZZ NEED HELPP BRAINLIESTTT

aniked [119]

Answer:

Step-by-step explanation:

g(x) = a f(x)

- if a > 1 , then the graph will be stretched;

- if 0 < a < 1 , then graph will be compressed.

4 0

3 years ago