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Law Incorporation [45]
3 years ago
7

Ramon spends 2/5 of his monthly income on rent, 1/5 of his monthly income on utilities, and 3/4of the amount remaining on food a

nd recreation. Ramon saves each month is 193.50 what is Ramon's monthly income
Mathematics
1 answer:
klemol [59]3 years ago
7 0
If x is how much his income is then 2/5x+1/5x= 3/5x for rent and utilities. x-3/5x=2/5x leftover. 3/4×2/5x=3/10x for food. 3/5x+3/10x=9/10x spent on rent, utilities, and food and rec. He saves the rest which is x-9/10x= 1/10x so if 1/10x=193.50
x= $1,935 for his income
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1.325 to the nearest hundreths
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Its 1.33 because you round up if its 5 or greater
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A baby weighs 10 pounds at age 1, and four years latter the child's weight is 42 pounds. Assume that childhood weight W (in poun
Sergeu [11.5K]
In this problem, we have been given that there is a baby and the weight of the baby is £10 at birth and it is observed that after four years. That means when time is four years, the weight of the baby, That is observed to be 40 lb. And here, considering the weight of the baby to be increasing linearly with respect to the time. In years, we have to express this weight in terms of. So as we are given that the weight is a linear function of time teeth. So in that case this is the way by which we say that y is a linear function of X. And instead of X, let's put T here. And instead of white, let's put W to indicate that weight is a linear function of time. And as we are given that at birth, that is a physical 20 years. The way it is £10. So we substitute T. S. Zero and ws £10 in this equation. So we're going to get 10 equals zero times A. That's zero plus be solving this, we're gonna get Bs 10 and putting this value of weight as 40 lb and the time has four years as well In the same equation, we're going to get 40 equals four A plus B. And we already have determined B. Let's put that here and solving this, we're going to get the value of a coming out to be seven point fight. And now let's put the values of A. And B back into this equation of W. So we get ws eight times t. That's 7.5 times T Plus B. That's 10. So this is the expression, in fact, we can say this is the linear expression for W with respect to time.
6 0
2 years ago
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45 POINTS At a high school football game, 4 out of every 7 students in line to buy a ticket wore a hat. If 350 students bought a
nataly862011 [7]

Step-by-step explanation:

Number of students who wore a hat

= 4/7 * Number of students who bought a ticket

= 4/7 * 350 students

= 200 students.

Number of students not wearing a hat

= Number of students who bought a ticket - Number of students who wore a hat

= 350 students - 200 students

= 150 students.

6 0
3 years ago
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I need this pls helpp
alexandr1967 [171]

Answer:

m∠7 = 63 degrees

m∠8 = 117 degrees

m∠9 = 63 degrees

Step-by-step explanation:

When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles

  • The vertically opposite angles are equal in measures
  • The linear angles have a sum of 180°

In the given figure

∵ There are two lines intersected at a point

∴ The angle of measure 117° and ∠8 are vertically opposite angles

∴ ∠7 and ∠9 are vertically opposite angles

∴ The angle of measure 117° and ∠7 are linear angles

∵ The vertically opposite angles are equal in measures

∴ The angle of measure 117° and ∠8 are equal in measures

∴ m∠8 = 117°

∵ The sum of the measures of the linear angles is 180°

∴ m∠7 + 117° = 180°

→ Subtract 118 from both sides

∵ m∠7 + 117 - 117 = 180 - 117

∴ m∠7 = 63°

∵ m∠7 = m∠9 ⇒ proved up

∴ m∠9 = 63°

3 0
3 years ago
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