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Vlad [161]
3 years ago
9

Micaela is 2 years older than Sam. In 4 years, the sum of their ages will be 40. How old is Micaela now? Describe and fix any er

rors in the solution. Let m = Micaela’s age and s = Sam’s age. m = s + 2 (s + 4) + (s + 2 + 4) = 40 s = 15 Sam is 15.
Mathematics
2 answers:
hammer [34]3 years ago
7 0

Answer: Sample Answer: The equation and its solution are correct.

The question asked was not answered. The question asks for Micaela’s age, not Sam’s.

Micaela is 17 years old.

It is important to include the label of years in the answer.

Step-by-step explanation:For sure

Verdich [7]3 years ago
5 0

Answer:

Micaela is 17

Step-by-step explanation:

s+2=m

(s+2+4)+(s+4)=40

(s+6)+(s+4)=40

2s+10=40

40-10=30

2s=30

30/2= 15

s=15

{s+2=m}

15+2=m

m=17

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You flip a coin and then roll a fair six-sided die. Find probability the coin lands heads-up and the die shows a five
stepladder [879]

Answer:

5 cent

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos
JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the population = 500 </em>

<em>Given standard deviation of the Population = 75</em>

Let 'X' be the variable in normal distribution

      Z = \frac{x-mean}{S.D}

<em>Given X = $410</em>

<em></em>Z = \frac{410-500}{75} = - 1.2<em></em>

<u><em>Step(ii):-</em></u>

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

                  =  0.5 - A( -1.2)

                 = 0.5 - A(1.2)

                = 0.5 - 0.3849  ( ∵from normal table)

                = 0.1151

<u>Final answer:-</u>

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0
3 years ago
A diagonal support beam is attached to the gate of a fence as shown. Which angles must be congruent in order for the top and bot
ludmilkaskok [199]

Answer:

3 and 2

Step-by-step explanation:


4 0
3 years ago
The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced
Murljashka [212]

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

<u />x\%\times 250=50

Notice that a percentage can also be written as that number over 100.

\frac{x}{100}\times250=50

\frac{250x}{100}=50

Reduce the fraction (250 and 100 have a common factor of 10)

\frac{25x}{10}=50

Reduce the fraction again (25 and 10 have a common factor of 5)

\frac{5x}{2}=50

Multiply both sides by two

5x=100

Divide both sides by 5

x=20

Therefore the price of the television was reduced by 20%.

4 0
2 years ago
there are a total of 100 balloons.if the ratio of yellow balloons to blue balloons is 8 to 12,how many of them are yellow?
IrinaK [193]
The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
8X + 12X = 1000
20x = 1000
X = 50.

Yellow balloons = 8x = 8 * 50 = 400 yellow balloons
Blue balloons = 12X = 12 * 50 = 600 blue balloons

So there are  400 yellows balloons.
8 0
3 years ago
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