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iVinArrow [24]
3 years ago
9

Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the same number of novels an

d autobiographies. If Carlos must place all of the books on shelves, what are the possible numbers of shelves Carlos will use?
The possible numbers of shelves Carlos will use are
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0
Carlos will use 8 shelves with 3 novels and 2 autobiographies on each.
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Find the value of x.​
icang [17]

Answer:

86

Step-by-step explanation:

180 - 94 = 86

6 0
3 years ago
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What is the answer to this?
oee [108]

Answer:

Quotient: 121

Remainder: 23

Step-by-step explanation:

So first see how many times 29 goes into 3532.

121

Next do 29 * 121 = 3509

Subtract that from 3532 = 23

4 0
3 years ago
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I don't know how to do this or what i'm doing plz help
mote1985 [20]

recalling that d = rt, distance = rate * time.


we know Hector is going at 12 mph, and he has already covered 18 miles, how long has he been biking already?


\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 12&1\\ 18&x \end{array}\implies \cfrac{12}{18}=\cfrac{1}{x}\implies 12x=18\implies x=\cfrac{18}{12}\implies x=\cfrac{3}{2}


so Hector has been biking for those 18 miles for 3/2 of an hour, namely and hour and a half already.

then Wanda kicks in, rolling like a lightning at 16mph.

let's say the "meet" at the same distance "d" at "t" hours after Wanda entered, so that means that Wanda has been traveling for "t" hours, but Hector has been traveling for "t + (3/2)" because he had been biking before Wanda.

the distance both have travelled is the same "d" miles, reason why they "meet", same distance.


\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hector&d&12&t+\frac{3}{2}\\[1em] Wanda&d&16&t \end{array}\qquad \implies \begin{cases} \boxed{d}=(12)\left( t+\frac{3}{2} \right)\\[1em] d=(16)(t) \end{cases}


\bf \stackrel{\textit{substituting \underline{d} in the 2nd equation}}{\boxed{(12)\left( t+\frac{3}{2} \right)}=16t}\implies 12t+18=16t \\\\\\ 18=4t\implies \cfrac{18}{4}=t\implies \cfrac{9}{2}=t\implies \stackrel{\textit{four and a half hours}}{4\frac{1}{2}=t}

7 0
3 years ago
Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.
givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=4/2=2\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{33.49}= 119\ cups

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=8/2=4\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{133.97}= 30\ cups

7 0
3 years ago
Find the value of x.A.55B.25C.35D.10
klasskru [66]

Answer:

D hope that help c: yhisj

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