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kkurt [141]
2 years ago
13

In how many ways may one A, three B’s, two C’s, and one F be distributed among seven

Mathematics
1 answer:
astraxan [27]2 years ago
5 0
7 different ways is the answer
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At noon Joyce drove to the lake at 30 miles per hour. but she made the long walk back home at 4 miles per hour. How long did she
mars1129 [50]

Answer:

60 miles

Step-by-step explanation:

let d = distance to the lake

Using:  time = distance ÷ speed

Create expressions for the time it takes for each journey:

Drive:  t_1=\dfrac{d}{30}

Walk:   t_2=\dfrac{d}{4}

If total time = 17 hours

\implies t_1+t_2=17

\implies \dfrac{d}{30}+\dfrac{d}{4}=17

\implies \dfrac{17d}{60}=17

\implies 17d=1020

\implies d=\dfrac{1020}{17}

\implies d=60

Therefore she walked 60 miles

3 0
2 years ago
Read 2 more answers
F(n) = n² – 3 g(n) = 4n - 1 Find f[g(1)]
SVETLANKA909090 [29]

Answer:

f[g(1)]=6.

Explanation:

Given f(n) and g(n) defined below:

\begin{gathered} f\mleft(n\mright)=n^2-3 \\ g\mleft(n\mright)=4n-1 \end{gathered}

First, we evaluate g(1):

\begin{gathered} g\mleft(1\mright)=4(1)-1 \\ =4-1 \\ g(1)=3 \end{gathered}

Therefore:

\begin{gathered} f\mleft(g(1)\mright)=f\mleft(3\mright) \\ f\mleft(3\mright)=3^2-3 \\ =9-3 \\ =6 \end{gathered}

Therefore, f[g(1)]=6.

8 0
1 year ago
Help please :c!
LUCKY_DIMON [66]

Answer:

see the procedure

Step-by-step explanation:

we know that

m∠1+m∠2=180° -----> supplementary angles (form a linear pair)

we have

m∠1=27° ----> given problem

substitute the measure of m∠1 in the equation above and solve for m∠2

27°+m∠2=180°

Subtract 27° both sides

27°+m∠2-27°=180°-27° ----> by subtraction property of equality

m∠2=153°

4 0
3 years ago
Every economic decision has only positive benefits. gained opportunities. unavoidable limitations. a consequence or tradeoff.
Alina [70]
Every economic decision has "a consequence or tradeoff" - this final answer choice is correct. Every time that an individual, business, or institution makes an economic decision, they always forgo an opportunity to use the same capital or resources for other endeavors. As such, there is a tradeoff incurred by not making the decision to use the resource in another manner. This is known as opportunity cost and is one of the fundamental tenets of economic theory.
3 0
3 years ago
Read 2 more answers
Suppose y varies directly with x, and y = 15 when x = 3. What is y when x = 12?
sveticcg [70]

Answer:

y = 60 when x = 12

Step-by-step explanation:

Direct variation is

y = kx

15 = k3

Divide by 3

15/3 = k

5 =k

y = 5x

Let x = 12

y = 5*12

y = 60

5 0
2 years ago
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