2 years ago

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Mathematics

1 answer:

NikAS [45]2 years ago

8 0

Answer:

the answer is 32 cups of water and 12 cups drink mix.

Step-by-step explanation:

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What percentage of a dollar is the value of each coin combination?

Brut [27]

Answer:

Step-by-step explanatinon:

percent is per hundred

4 dimes is 40 cents or $0.40 or 40/100 of a dollar which is40%

1 nickel and 3 pennies or 8 cents or $0.08 Or 8/100 or 8%

5 quarters and one dime is 135/100 or $1.35 or 135/100 which is 135%

5 0

2 years ago

The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities

monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

$y=a(b)^x=a(1\pm\frac{r}{100})^x$

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

$\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}$

So,

$f(x)=40(1.13)^x$

For city B:

$\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}$

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

$h(x)=40+10x$

7 0

3 months ago

Find all two-digit numbers with the following property: difference of that number and the number with its reversed digits is 36.

kirza4 [7]

$10x+y-(10y+x)=36\\
10x+y-10y-x=36\\
9x-9y=36\\
x-y=4\\\\
x,y\in\{1,2,3,4,5,6,7,8,9\}\\
\Downarrow\\
x=5,y=1\\
x=6,y=2\\
x=7,y=3\\
x=8,y=4\\
x=9,y=5


$

There are 5 such numbers - 51,62,73,84,95

6 0

2 years ago

Prove that the triangles shown below are similar and provide a similarity statement

Salsk061 [2.6K]

The triangles are similar because two angles have the same measurements

6 0

2 years ago

What is 1/6+1/2 in its simplest form?

Salsk061 [2.6K]

1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3

2/3

6 0

2 years ago

Read 2 more answers