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n200080 [17]
3 years ago
8

Find the following dates in the units given:

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer and step-by-step explanation:

a.  4 litres in 5 minutes (litres per minute)

4 litres per 5 minutes means 4/5 litres per 1 min = 0.8 litres per minutes

b. 12 litres in 45 minutes = 12/3 litres in 45/3 minutes = 4 litres per 15 minutes

60 minutes = 4*15 minutes

4 * 4 = 16 litres per hour

c. 800 kilowatt hours in 2 months

1 year = 12 months = 2*6 months

kilowatt per year = 800 * 6 = 4800 kilowatt per year

Hope this helped :3

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irina1246 [14]

Answer:

x=8

y=1

the point would be at (8,1)

8 0
3 years ago
(picture attached) please help me
Trava [24]

Answer:

10

Step-by-step explanation:

if the shapes are similar then the measures are proportional:

9/6 = 15/v cross multiply expressions

9v = 90 divide both sides by 9

v = 10

5 0
3 years ago
a chef uses 4 3/4 cups of broth for 10 servings of soup.how much broth is is one serving . let x represent amount. 4 3/4/10 =x/1
enyata [817]
Let's firstly convert the mixed fraction to "improper" and then proceed,

\bf \begin{array}{ccll}
\stackrel{broth}{cups}&servings\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4\frac{3}{4}&10\\\\
x&1
\end{array}\implies \cfrac{\quad \stackrel{mixed}{4\frac{3}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{4\cdot 4+3}{4}\quad }{x}=\cfrac{10}{1}

\bf \cfrac{\quad \stackrel{improper}{\frac{19}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{19}{4}\quad }{\frac{x}{1}}=\cfrac{10}{1}\implies \cfrac{19}{4}\cdot \cfrac{1}{x}=\cfrac{10}{1}\implies \cfrac{19}{4x}=\cfrac{10}{1}
\\\\\\
19=40x\implies \cfrac{19}{40}=x
6 0
4 years ago
Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x
Anna11 [10]

Answer:

f(x)=\frac{3}{125} * 25^x

Step-by-step explanation:

Given

f(x)=3*5^{2x-3}

Required

To determine if it is an exponential function, we have to write in form of

f(x) = ab^x

If we're able to do so, then the function is an exponential function.

If otherwise, then it is not

f(x)=3*5^{2x-3}

Apply Law of indices

f(x)=3*\frac{5^{2x}}{5^3}

Express 5^3 as 125

f(x)=3*\frac{5^{2x}}{125}

Factorize the exponent of 5

f(x)=3*\frac{5^{(2)x}}{125}

Express 5^2 as 25

f(x)=3*\frac{25^x}{125}

This can be rewritten as:

f(x)=\frac{3}{125} * 25^x

By comparing the above to f(x) = ab^x

We have that

a = \frac{3}{125}

b^x = 25^x

Since, we've be able to express the function as f(x) = ab^x

Then, f(x)=3*5^{2x-3} is an exponential function

8 0
3 years ago
Solve question 20 (a) and (b)<br>​
RUDIKE [14]

Answer:

You first have to read on the coordinates where the curve and the straight line meet or cuts across

a.) 53

b.) 13

5 0
3 years ago
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