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GalinKa [24]
3 years ago
12

If it takes 5 elves 5 minutes to make 5 dolls, how long would it take 100 elves to make 100 dolls?

Mathematics
2 answers:
klasskru [66]3 years ago
8 0

Answer: 5 minutes

Step-by-step explanation: If 5 elves can make 5 dolls in 5 minutes then an elf can make 5 dolls in twice the time it would take 5 elves to do it which is 25 minutes.

This means it takes an elf 25/5 = 5 minutes to make one doll

One elf can make 100 dolls in 100 x 5 = 500 minutes

Then it will take 100 elves 500/100 = 5 minutes to make 100 dolls.

NOTE: This method of solving is known as the unitary method. Be careful to note that it won't take 100 elves a hundred minutes to make 100 dolls because it's a concerted effort (each of the 100 elves is making 1 doll in the same time duration (5 minutes))

Natalka [10]3 years ago
7 0
5 elves*5 minutes=5 dolls
1 elf *5 minutes=1 doll

so it takes 5 minutes for an elf to make doll

100 elves*100 minutes/5=100*20=2000 dolls in 100 minutes by 100 elves
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How many 2-inch segments are there in 12 ft.?<br> O A. 6<br> O B.24<br> O C. 10<br> OD.7
Scrat [10]

Answer:

72 segments

Step-by-step explanation:

First we convert 2 inches to feet units:

We know that one foot equals 12 inches

Then we use this conversion factor as shown below.

2\ in*\frac{1\ ft}{12\ in}=\frac{1}{6}\ ft

To know how many \frac{1}{6}\ ft  segments there are in 12 ft, we must divide 12 ft ÷ \frac{1}{6}}\ ft

So:

\frac{12\ ft}{\frac{1}{6}\ ft}= 12*\frac{6}{1}=12*6=72\ segments

In 12 ft there are 72 2-inch segments

3 0
3 years ago
What checking account fees can be avoided through good record keeping?
PSYCHO15rus [73]
B thats what i would put

7 0
3 years ago
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In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.
Zina [86]

Answer:26.9 feet

Step-by-step explanation:

SOH-CAH-TOA

\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}

tanM=

adjacent

opposite

​

=

x

74

​

\tan 70=\frac{74}{x}

tan70=

x

74

​

x\tan 70=74

xtan70=74

Cross multiply.

\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}

tan70

xtan70

​

=

tan70

74

​

Divide each side by tan 70.

x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}

x=

tan70

74

​

=26.9338≈26.9 feet

Type into calculator and roundto the nearest tenth of a foot.

L

M

N

74

26.9

(opposite of ∠M)

(adj. to ∠M)

(hypotenuse)

70°

5 0
3 years ago
Eddie bought 27 2/5 inches of wire for a home improvement project. How many 12 inches sections can he make from it?
goblinko [34]
Simply divide your wire by 12 and cut off the excess (as it cannot make a full 12-inch section).

27\frac{2}{5}÷12=2\frac{17}{60}

So you have two 12-inch sections and an additional 3.4-inch section.
3 0
3 years ago
If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?
Leno4ka [110]

Answer:

A = 6.

Step-by-step explanation:

Let a denote a constant (a number, rather than a variable like x.)

Let f(x) denote an expression about x (for example,

By the factor theorem, if (x - a) is a factor of f(x), then f(a) = 0. In other words, if all mentions of x in the expression f(x)\! are replaced with a, then the expression should evaluate to zero.

(x + 3) is equivalent to (x - (-3)). That is: a = -3.

Replace all mentions of x in x^3 - x^2 - 10\, x + A by (-3) to get:

(-3)^3 - (-3)^2 - 10\times (-3) + A.

That should evaluate to zero. Therefore: -27 - 9 + 30 + A = 0. Solve for A to get A = 6.

7 0
3 years ago
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