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Sliva [168]
3 years ago
5

Grandpa Collins is 2 years more than 25 times as his grandson Joshua. If Grandpa Collins is 77 years old, how old is Joshua?

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

3 years old is Joshua.

Step-by-step explanation:

Let y represents the age of Grandpa Collins and x represents the age of grandson Joshua.

As per the given statement: Grandpa Collins is 2 years more than 25 times as his grandson Joshua.

"25 times as his grandson Joshua" means 25x

"2 years more than 25 times as his grandson Joshua" means 25x +2

⇒ y = 25x + 2                   ......[1]

Also, it is given : Grandpa Collins is 77 years old

⇒ y = 77 years

Substitute y =77 in [1] to solve for x;

77 = 25x + 2

Subtract 2 from both sides of an equation:

77 -2 =25x+2 -2

Simplify:

75 = 25x

Divide both sides by 25, we get;

\frac{75}{25} =\frac{25x}{25}

Simplify:

3 = x

Therefore, the age of Joshua is, 3 years old.

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Work Shown:

area = length*width

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length = 162/9

length = 18 meters

7 0
2 years ago
How do I determine which is y=-1/3x+2?
Jlenok [28]

Step-by-step explanation:

This is a linear equation in slope intercept form which is

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The equation

y =  -  \frac{1}{3} x + 2

Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.

In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.

6 0
3 years ago
I need help with this question​
4vir4ik [10]

Answer:

y = 3

Step-by-step explanation:

y/9 = 2/6

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CROSS MULTIPLYING WE GET

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4 0
3 years ago
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
zheka24 [161]

Answer:

$301 - $397

Step-by-step explanation:

Using the Empirical rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the above question,

Mean = 349 , standard deviation = 24.

Confidence interval = 95%

Using 2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ – 2σ

= 349 - 2(24)

= 349 - 48

= 301

μ + 2σ

349 + 2(24)

= 349 + 48

= 397

Therefore, according to the standard deviation rule, approximately 95% of the students spent between $301 and $397 on textbooks in a semester.

8 0
3 years ago
Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv
professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

a.

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

b.

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

c.

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

3 0
3 years ago
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