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3 years ago

\frac{h^{2}-1 }{h+3} when h=5Plz answer

Mathematics

1 answer:

Norma-Jean [14]3 years ago

4 0

Answer:

Step-by-step explanation:

$\frac{h^{2}-1 }{h+3}$

$\frac{5^{2} -1}{5+3}$

$\frac{25-1}{8}$

$\frac{24}{8}$

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One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord

Vikki [24]

Let's say we use "x" of the 25% OJ... ok... well, how much juice is really in that "x" liters? well, 25% of it is OJ, the rest is water, how much is 25% of x? well, (25/100) * x, or 0.25x.

likewise, we'll use "y" of the 10% OJ, and it will end up with (10/100) *y or 0.10y of juice in it.

whatever "x" and "y" are, they must add up to 15 Liters, and the juice concentration on that mixture, must also be the sum of their sum concentration.

$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{juice~\%}{quantity}&\stackrel{juice}{quantity}\\
&------&------&------\\
\textit{25\% juice}&x&0.25&0.25x\\
\textit{10\% juice}&y&0.10&0.10y\\
------&------&------&------\\
mixture&15&0.17&2.55
\end{array}
\\\\\\
\begin{cases}
x+y=15\implies \boxed{y}=15-x\\
0.25x+0.10y=2.55\\
----------\\
0.25x+0.10\left(\boxed{15-x} \right)=2.55
\end{cases}
\\\\\\
0.25x-0.10x+1.5=2.55\implies 0.15x=1.05\implies x=\cfrac{1.05}{0.15}
\\\\\\
x=7$

how much will be it of the 10% juice? well, y = 15 - x.

6 0

3 years ago

It took Leo 3 hours to type a 4125-word essay. Sarah typed her 3800-word essay in 3 hours and 10 minutes. At these rates, how mu

scoray [572]

Answer:

Sarah would take 35 minutes longer than Leo to type 5500 word essay

Step-by-step explanation:

Let us solve the question

∵ It took Leo 3 hours to type a 4125-word essay

→ The rate is the number of words divided by the time

∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour

∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes

→ Change the 10 min to the hour by divide it by 60

∵ 3 hours 10 min = 3 + $\frac{10}{60}$ = 3 + $\frac{1}{6}$ = 3 $\frac{1}{6}$ hours

∴ Sarah's rate = 3800 ÷ 3 $\frac{1}{6}$ = 1200 words/hour

∵ Leo will type a 5500-word essay

→ Divide it by his rate to find the time taken

∴ Leo takes = 5500 ÷ 1375 = 4 hours

∵ Sarah will type a 5500-word essay

→ Divide it by her rate to find the time taken

∴ Sarah takes = 5500 ÷ 1200 = 4 $\frac{7}{12}$ hours

→ Find the difference between their times

∵ The difference = 4 $\frac{7}{12}$ - 4 = $\frac{7}{12}$ hour

→ Multiply it by 60 to change to minutes

∴ The difference = $\frac{7}{12}$ × 60 = 35 minutes

∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay

3 0

3 years ago

(1.2 x 10^13) - (4 x 10^11)

Alexandra [31]

Answer:

the answer is 11,600,000,000,000

Step-by-step explanation:

pemdas

(1.2 x 10 ^13) - (4 x 10 ^11)

10^13 = 10,000,000,000,000 put that in scientific notation to make it simpler do same for 10 ^11

10 x 10^13

(1.2 x 10 x 10^13) - ( 4 x 10 x 10^11)

now solve the first equasion

12,000,000,000,000 - 400,000,000,000

subtract

11,600,000,000,000

3 0

3 years ago

If John is driving 70 mi/hr and Jim is driving 50 ft/min, who is driving faster?

lapo4ka [179]

Answer:

John

Step-by-step explanation:

70 mi/(60 min) ≈ 1 1/6 mi/min.

1 1/6 miles is significantly farther than 50 ft, so John is driving (much) faster.

3 0

3 years ago

What is the number in standard form?<br><br> 4.9×10^8

belka [17]

In order to get the answer to this question you have to remember that if the exponent is positive you need to move to the right, and if the exponent is negative you got to move to the left.

$4.9\times10^8$
Positive so move to the right 8 times....
$4.9\times10^8 = 490000000.$
$= 490000000.$

Therefore the answer is "490000000."

Hope this helps!

Nonportrit

6 0

3 years ago