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Vladimir79 [104]
3 years ago
5

Today the ratio of Elinor's age to her mother's age is 3:8. After 15 years, the ratio will become 6:11. What is Elinor's age tod

ay?
Mathematics
1 answer:
amm18123 years ago
8 0
X=Elinor´s age today.
y=Mother´s age today.
(x+15)=Elinor´s age after 15 years.
(y+15)=Mohter´s age after 15 years.

We can suggest this systemen of equations:
x/y=3/8                                  ⇒x=3y/8
(x+15)/(y+15)=6/11              ⇒11(x+15)=6(y+15)

Finally, we´ll have the following system:
x=3y/8
11(x+15)=6(y+15)

We can solve this system of equations by substitution method:
11[(3y/8)+15)=6(y+15)
11[(3y+120)/8)=6y+90
33y+1320=8(6y+90)
33y+1320=48y+720
33y-48y=720-1320
-15y=-600
y=-600/-15
y=40

We find out the value of "x";
x=3y/8
x=3(40)/8
x=120/8
x=15

Answer: Elinor is 15 years old.
 
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Mrs. Computer is 3 times older than her daughter, Mousy. The sum of their ages is 52. How old is Mousy?
grandymaker [24]
Mousy=m
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Daniel’s school is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 8 senior citizen
zavuch27 [327]

Answer:

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3 0
3 years ago
Read 2 more answers
1. Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer t
Mazyrski [523]

Answer:

Part (A): The required inequality is T < 35 or t >40.

Part (B): The correct option is C) Only x=7.

Part (C) |x+1|+5=2 has no solution; |4x+12|=0 has one solution; |3x|=9 has two solution.

Step-by-step explanation:

Consider the provided information.

Part (A)

Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer than 40°F is an unsafe food practice.

The union is written as A∪B or “A or B”.

The intersection of two sets is written as A∩B or “A and B”

We need to determine the inequalities represent the union of these improper storage.

That means we will use A∪B or “A or B”.

The improper storage temperatures is when temperature is less than 35°F or greater than 40°F.

Hence, the required inequality is T < 35 or t >40.

Part (B) 15| x-7|+4=10|x-7|+4

Solve the inequality as shown below:

Subtract 4 from both sides.

15| x-7|+4-4=10|x-7|+4-4

Subtract 10|x-7| from both sides

15\left|x-7\right|-10\left|x-7\right|=10\left|x-7\right|-10\left|x-7\right|

5\left|x-7\right|=0\\\left|x-7\right|=0\\x=7

Hence, the correct option is C) Only x=7.

Part (C) Match the solution,

\left|x+1\right|+5=2

Subtract 2 from both sides.

\left|x+1\right|=-3

Absolute value cannot be less than 0.

Hence, |x+1|+5=2 has no solution.

|4x+12|=0

4x+12=0

x=-3

Hence, |4x+12|=0 has one solution.

|3x|=9

\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a

3x=-9\quad \mathrm{or}\quad \:3x=9\\x=-3\quad \mathrm{or}\quad \:x=3

Hence, |3x|=9 has two solution.

3 0
3 years ago
Sal the sloth takes one hour to travel 7 1/2 feet. If he continues to travel at the same rate, how long will it take him to trav
pentagon [3]

Answer:

4 hours

Step-by-step explanation:

Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.

1\frac{1}{7.5} =\frac{x}{30}

Now we cross product.

7.5 multipled by x  =7.5x

1x30=30

so now we have

7.5x=30

Now we have to divide 7.5 on both sides which gives us

x=4

3 0
2 years ago
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