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3 years ago

15

What is the quotient of 1476 and 12

2 answers:

RoseWind [281]3 years ago

7 0

The quotient is 123.

Zanzabum3 years ago

5 0

The quotient of 1476/12 is 123

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You sell your bicycle to your friend for 65$ your friend gives you x five dollar bills and y ten dollar bills. There are a total

jeka94

Answer:

There are $5$ five dollar bills and $4$ ten dollar bills.

Step-by-step explanation:

Given:

Selling price of bicycle $=\$65$ .

The friend gave $x$ five dollar bills and $y$ ten dollar bills.

Total number of bills $=9$ .

To find: Number of five dollar bills and ten dollar bills the friend gave.

Solution:

The friend gave $x$ five dollar bills and $y$ ten dollar bills and the friend gave $9$ bills in all.

So, $x+y=9$ .

$\Rightarrow x=9-y ...(i)$

Selling price of bicycle $=\$65$ .

So, $5x+10y=65...(ii)$

Putting the value of $x$ from equation $(i)$ in equation $(ii)$ .

$\Rightarrow 5(9-y)+10y=65$

$\Rightarrow 45-5y+10y=65$

$\Rightarrow 45+5y=65$

$\Rightarrow 5y=65-45$

$\Rightarrow 5y=20$

$\Rightarrow y=\frac{20}{5}$

$\Rightarrow y=4$

Now, putting the value of $y$ in equation $(i)$ .

$\Rightarrow x=9-4$

$\Rightarrow x=5$

Hence, there are $5$ five dollar bills and $4$ ten dollar bills.

5 0

3 years ago

A fair die is rolled 10 times. Find the expected value of:a) the sum of the numbers in the ten rolls;b) the number of multiples

velikii [3]

Answer:

a) 3.5

b) 3.33

c) $6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}$

Step-by-step explanation:

As given,

A fair die is rolled 10 times

a)

Expected value of Sum of the number in 10 rolls = $\frac{1}{6}(1+2+3+4+5+6) = \frac{21}{6}$

= 3.5

∴ we get

Expected value of Sum of the number in 10 rolls = 3.5

b)

Ley Y : number of multiples of 3

Y be Binomial

Y - B(n = 10, p = $\frac{2}{6}$ )

Now,

Expected value = E(Y) = np = 10× $\frac{2}{6}$ = 3.33

c)

Let m = total number of faces in a die

⇒m = 6

As die is roll 10 times

⇒n = 10

Now,

Let Y = number of different faces appears

Now,

Expected value, E(Y) = m - m $\left(\begin{array}{ccc}m-1\\m\end{array}\right)^{n}$

= $6 - 6\left(\begin{array}{ccc}6-1\\6\end{array}\right)^{10} = 6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}$

5 0

3 years ago

1) A jewelry store bought 8 beautiful diamond necklaces. Each necklace cost $9,000. How

dimaraw [331]

Answer:

9000x8

=$72000

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

6th grade math plz help?

Sergeu [11.5K]

Answer:

about 83%

Why:

1/3 + 1/2 = 0.83333333333

0.83333333333 as a percentage is 83.333333333%

8 0

3 years ago

Read 2 more answers

A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t

solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

<em>The linear equation of the function is: </em> $g(P) = 22.9P+7$ <em>.</em>
<em>The inverse function is: </em> $g^{-1}(c) = \frac{1}{22.9}(c - 7)$ <em> .</em>
<em>A practical domain is from 0% to 100%</em>
<em>A practical range is from 7 to 29.9 </em>

<u>A. Input quantity</u>

The input quantity is the percentage of frozen citrus crop

<u />

<u>B. Output quantity </u>

The output quantity is the cost of box of oranges

<u>C. The linear function</u>

We have:

$(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)$

<em>Calculate the slope of the function</em>

$m = \frac{c_2 - c_1}{P_2 - P_1}$

$m = \frac{25.32 - 11.58}{80\%-20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

<em>The linear equation is calculated as follows:</em>

$c -c_1 = m(P-P_1)$

$c -11.58= 22.9(P-20\%)$

$c-11.58 = 22.9P-4.58$

<u>D. Rewrite as y = mx + b</u>

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

<em>The function is:</em>

$g(P) = 22.9P+7$

<u>E. A practical domain</u>

The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: $[0\%,100\%]$

<u>F. A practical range</u>

When P = 0%

$c = 22.9 \times 0\% + 7 = 7$

When P = 100%

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

G. The meaning of $g^{-1}(12)$

The inverse function of g(P) is $g^{-1}(P)$

So:

$g^{-1}(12)$ is the percentage of frozen citrus crop, when the cost is $12.

<u>H. The inverse formula</u>

We have:

$c = 22.9P+7$

Subtract 7 from both sides

$c - 7 = 22.9P$

Make P the subject

$P = \frac{1}{22.9}(c - 7)$

So, the inverse formula is:

$g^{-1}(c) = \frac{1}{22.9}(c - 7)$

Substitute 12 for c

$g^{-1}(12) = \frac{1}{22.9}(12 - 7)$

$g^{-1}(12) = \frac{1}{22.9} \times 5$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

6 0

3 years ago