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3 years ago

Please solve 5 problems from Monday and show work.

Mathematics

1 answer:

Masteriza [31]3 years ago

5 0

Answer:

1. Three cakes

2. 2,108

3. 53.59

4. 16

5. 7/21 = 1/? (The missing number is 3)

12/72 = 2/? (The missing number is 12)

Step-by-step explanation:

1. Given,

Cassie has 1/2 (half = 0.5) pound of sugar.

A cake will take 2/10 = 0.20 pounds of sugar.

According to the question,

0.20 pound of sugar can be used to produce 1 cake

1 pound of sugar can be used to produce 1/0.20 cake

0.50 pound of sugar can be used to produce (1/0.20)*0.50 cake

=2.5 cake (or, Approximately three cakes)

2. Given,

Dividend = 67,473

Divisor = 32

Therefore, Quotient = Dividend/Divisor

Quotient = 67,473/32

32| 67,473 | 2108

64

32

0

273

256

Therefore, Quotient = 2,108 and the reminder = 17

3. 65.39 - 11.8

= 53.59

The difference formula is to deduct the 1st number from 2nd number. The answer is 53.59

4. The full form of L.C.M is least common multiple. To find out the L.C.M of any given data set, we have to make those numbers into their prime factors;

4 = 2 x 2

16 = 2 x 2 x 2 x 2

As L.C.M is the highest possible values. It means the prime number is taken from that particular number where the prime number is more. Here, as 16 creates four 2 multiples where 4 creates two 2 multiples, therefore, the L.C.M of 4 and 16 will be = 2 x 2 x 2 x 2 = 16.

5. 7/21 = 1/? and 12/72 = 2/?

First expression, 7/21 = 1/?

We know, to determine the missing value for a fraction, we need to use the following formula -

Fourth number = (2nd number x 3rd number)/1st number

Here,

1st number = 7

2nd number = 21

3rd number = 1

Therefore, Missing or fourth number = (21*1)/7 = 3

> 12/72 = 2/?

For the 2nd expression,

Fourth number = (2nd number x 3rd number)/1st number

Given,

1st number = 12

2nd number = 72

3rd number = 2

Fourth or missing number = (72*2)/12 = 12

Therefore, the missing number of 1st equation = 3

The missing number of 2nd equation = 12.

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2 years ago

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Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

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g=No. of games James plays

t= No. of tokens James has.

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y=mx + b

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m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

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That is, when g=3, t=8

(x,y)

(0,20) (3,8)

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3 years ago

a line represented by y = 5x − 2 and a line perpendicular to it intersect at r(1, 3). what is the equation of the perpendicular

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If the two line cross perpendicularly ⇔ ac= -1

So a tangent of the perpendicular line is "-(1/5)".

Then, the equation of the perpendicular line is y=-(1/5)x+a (a is y-intercept).

On the other hand, this equation pass r(1, 3), so

3 = -(1/5) times 1 + a

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3 years ago

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Answer:

A) 90.32%

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Step-by-step explanation:

Given data:

speed = 73.7 miles/hour

standard deviation = 4.77 miles /hour

a) $P(X< 80) = P(z< \frac{80 - 73.7}{4.77}$

= P (z< 1.31)

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b) $P(60 < X< 80) = P(\frac{60 - 73.7}{4.77} < z< \frac{80 - 73.7}{4.77})$

= P (-2.872< z< 1.31)

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= 0.90320 - 0.00205

= 0.90115 = 90.11%

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3 years ago