Answer:
The presents age of the mom is 42 years old, and of the son is 27 years old.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
The mothers age is x.
The son's age is y.
12 years ago, a mother was twice as old as her son.
This means that:
[tex]x - 12 = 2(y - 12)[/tex]
[tex]x = 2y - 24 + 12[/tex]
[tex]x = 2y - 12[/tex]
Their present age are in the ratio of 14:9.
This means that:
[tex]\frac{x}{y} = \frac{14}{9}[/tex]
[tex]14y = 9x[/tex]
Since [tex]x = 2y - 12[/tex]
[tex]14y = 9(2y - 12)[/tex]
[tex]18y - 108 = 14y[/tex]
[tex]4y = 108[/tex]
[tex]y = \frac{108}{4}[/tex]
[tex]y = 27[/tex]
[tex]x = 2*27 - 12 = 54 - 12 = 42[/tex]
The presents age of the mom is 42 years old, and of the son is 27 years old.
problem: which of the expression(s) below is greater than 5/2? Select all that apply
A) 2/5 ÷ 4/3
B) 4/3 ÷ 1/3
C) 5/3 ÷ 1/2
Answer:
C) 5/3 divided by 1/2
Step-by-step explanation:
5/2 = 2.5
A. 2/5 divided by 4/3 = 0.3
B. 4/3 divided by 1/3 = 1
C. 5/3 divided by 1/2 = 3.333
3.333 is bigger than 2.5
:)
Which of the following graphs represents the solution to the following system
of inequalities?
3x + 4y <12
2x - y24
Answer:
I am pretty sure it is most likely answer D.
Step-by-step explanation:
Hope this helps! Have a great day and good luck!
what is the decimal equivalent of 8/12
Answer:
0.666 repetitive, or 0.67
Step-by-step explanation:
Calculate the volume of the cylinder: 10 yd 7 yd
Round to nearest tenth
WILL MARK AS BRAINLIEST
Answer:
The answer is 384.85 yd to the power of 3
Step-by-step explanation:
πr2h
= π×3.52×10
= 122.5π
= 384.85
The volume of the given cylinder would be 384.65 cubic yards.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Where -
R - Radius of the cylinder
h - height of the cylinder
Given is to calculate the volume of the cylinder with height 10 yd and diameter 7 yd.
For the given cylinder, we have -
Radius of the cylinder : 7/2 = 3.5 yd
Height of the cylinder : 10 yd
So, we can write the volume of the cylinder as -
V = πR²h
V = 3.14 x 3.5 x 3.5 x 10
V = 384.65 cubic yards
Therefore, the volume of the given cylinder would be 384.65 cubic yards.
To solve more questions on cylinders, visit the link below-
https://brainly.com/question/16134180
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PLEASE HELP ITS URGENT
8. Calculate the value of Angle B: ___________
Answer:
36
Step-by-step explanation:
First: add 24and 30 to get 54
Second: subtract 54 from 90
Third: then you get 36 as an answer
show that
[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0
Answer:
[tex]Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved[/tex]
Elena went 60 meters in 50 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster? Explain your reasoning.
help!!! Pleasee thank youuuu
Answer:
a
Step-by-step explanation:
it is the reflection or mirror image
I need to find the missing side given the area
Answer:
4
Step-by-step explanation:
The formula to the area of a triangle is 1/2(base) * height. Since it is asking to find the height and you are given the base, you need to solve:
1/2(6) * x = 12
multiply: 3x = 12
divide: x = 4
Factor
x2 + 10x + 25
Answer:
(x+5)(x+5)
Step-by-step explanation:
x²+10x+25
25
/ \
+5 and +5
(x+5)(x+5)
if you dont understand. I recommend this video https://youtu.be/yBCAv_NzzPQ
at 10:21
-7 1/3 divided by 4 1/4 in mixed number.
Answer:
1 37/51
Step-by-step explanation:
All 30 pupils in a class took part in a sponsored spell to raise money for charity. The pupils were expected to get an average of 14 spellings cprescr each. The average amount of sponsorship was 20 pounds for each correct spelling. How much money would the class expect to raise for charity altogether? Give answer in pounds
Answer: £84
Step-by-step explanation:
The number of pupils in the class is 30, and the average number of correct spellings for each pupil is 14.
The total expected correct spellings is 30 x 14 = 420 spellings.
The average sponsorship for each correct spelling is 20p which = £0.20.
Therefore, the number of pounds the class is expected to raise for charity is 420 x 0.20 = £84.
Number of pounds the class is expected to raise for charity is 8400 pounds.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Number of pupils in the class = 30
Average number of correct spellings for each pupil = 14.
The total expected correct spellings is 30 x 14 = 420 spellings.
The average sponsorship for each correct spelling is 20 pounds
The number of pounds the class is expected to raise for charity is 420 x 20 = 8400 pounds
Thus, number of pounds the class is expected to raise for charity is 8400 pounds.
Find out more information about multiplication here
https://brainly.com/question/14059007
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What % of $10 = $2??????
Answer:
20% of 10= 2 is the answer
hope this helps!
Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink
Answer:
The percent she has left in the drink is 75%
Step-by-step explanation:
1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.
If you were to solve the equation x+14=22, what steps would you take to solve this equation?
subtract 14 from 22 to isolate the variable
It takes 80 oz of grass seed to seed 5600 ft? of lawn. At this rate, how much would be needed for 8400 ft of lawn?
Answer:
120 oz
Step-by-step explanation:
5600/80 = 70 rate
8400/ 70 = 120 oz
How much interest is earned on $342.50 at 8% for three years?
Need help with it today
Answer:
C
Step-by-step explanation:
s - 7 + 5
s - 2
the factory made a hundred packs of gum 40% of the packs contain to mint flavored gum how many packs of mint gum did the factory make
Answer:
I would say that this is 40 packs of mint flavored gum (sorry if this is wrong)
Step-by-step explanation:
Since there are 100 packs of gum, the 40% just turns into 40
y + 2x = -1
y = 1/2x + 4
Answer:
x = -1
y = 3
Step-by-step explanation:
y + 2x = -1
y = 1/2x + 4
(1/2x + 4) + 2x = -1
1/2x + 2x + 4 = -1
2 1/2x + 4 = -1
2 1/2x = -1 - 4
2 1/2x = -5
x = -5 / 2 1/2
x = -2
y + 2x = -1
y + 2(-2) = -1
y - 4 = -1
y = -1 + 4
y = 3
f(x)= 2/x-2 find (fof) (i)
Answer:
Step-by-step explanation:
cant see pic
Find f(-4) for f(x)=x^4-7x^2-12
An employee at a gift shop earns $72.00 for working 9 hours. At this hourly rate, what should the employee earn for a 40-hour work week?
Answer:
The employee would earn $320 for a 40-hour work week.
Step-by-step explanation:
Given
Total Earning amount = $72.00Total Time taken = 9 hoursTo determine
We have to find the employee's earning earn for a 40-hour work week.
First Step
Determining the hourly rate
In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.
Hourly rate = Total Earning amount / Total Time taken
= $72.00 / 9 hours
= $8.00 per hour
Second Step
Determining the employee's earning earn for a 40-hour work week.
As we have already determined that employee is earning $8.00 per hour.
i.e.
Hourly rate = $8.00 per hourIn order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.
Thus,
Earning for 40-hour work week = Hourly rate × 40
= 8.00 × 40
= $320
Therefore, the employee would earn $320 for a 40-hour work week.
"35 degrees above 0 positive or negative
Answer:
Positive
Please mark me brainliest!!!!!!
Positive!
Anything above 0 is positive.
Bye!! <3
-Lexi
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex] [tex]\frac{y_1+y_2}{2} =Ymp[/tex]
[tex]\frac{6+x_2}{2} = 1[/tex] [tex]\frac{-2+y_2}{2} =2[/tex]
multiply each by 2 to simplify
[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex] [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify
6+[tex]x_{2}[/tex] = 2 -2+[tex]y_{2}[/tex] = 4 =
-6 -6 +2 +2
[tex]x_{2}[/tex] = -4 [tex]y_{2}[/tex] = 6
To check use the Midpoint formula
[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]
pls helpp mee!!!!! pleaseee
Answer:
it is 5 inches squared
Step-by-step explanation:
1 inches. sjwjqkqkwjhed
Jack had 3 bottles of soda. Each bottle held 2 1/2 cups of soda. How many cups of soda did he have total?
Answer:
1 1/5 cups of soda.
Step-by-step explanation:
To solve this you need to change 3 and 2 1/2 into improper fractions so you get 6/2 and 5/2. Then you have to flip 5/2 so it becomes 2/5 and then you just have to cross cancel. Since the 2 from 2/5 can go into the 2 in 6/2 one time, 2/5 changes into 1/5 and 6/2 changes to 6/1. Now you can multiply across so 6 times 1 is 6 and 1 times 5 is 5 so you get 6/5. Now you have to change it into a mixed number which would be 1 1/5.
I hope this helps you :D
Which fraction has the same value as 0.3
21x-9+27=180 what is x?
A computer is on sale for 25% off. If the sale price is $449, what was the original price?
Answer:
discount=25%
selling price=$449
original price=?
Step-by-step explanation:
we have
original price=selling price + discount% of original price
original price-discount% of original price=$449
original price (1-25/100)=$449
original price=$449/0.75=$598.66