Given:
Able's age can be represented by x.
Able's sister is 4 years younger than him.
Able's older brother is twice as old as he is.
The combined age of all three siblings is 32.
To find:
The age of Able's younger sister.
Solution:
Able's age can be represented by x.
Able's sister is 4 years younger than him.
Age of Able's sister = (x-4)
Able's older brother is twice as old as he is.
Age of Able's older brother = 2x
The combined age of all three siblings is 32.
[tex]x+(x-4)+2x=32[/tex]
[tex]4x-4=32[/tex]
Add 4 on both sides.
[tex]4x=32+4[/tex]
[tex]4x=36[/tex]
Divide both sides by 4.
[tex]x=\dfrac{36}{4}[/tex]
[tex]x=9[/tex]
The age of Able is 9 years. So, age of his younger sister is
[tex]9-4=5[/tex]
Therefore, the age of Able's sister is 5 years.
Answer:
Step-by-step explanation:
The complement of set M is ______.
Answer:
M' is {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}
Step-by-step explanation:
If Alyssa makes $10 a week and has $70 right now how long will it take her to have $1750?
Answer:
168 weeks
Step-by-step explanation:
Come up with an equation, I came up with 10x + 70 = 1750
Because she already has 70$ and x = the amount of weeks.
Now all you have to do is solve.
10x + 70 = 1750
- 70 -70
------------------------
10x = 1680
10/10 1680/10 = 168
x = 168
12 divided by 3 +6 times 2 simplified
Answer: I believe the answer is 16 hope this helps
Step-by-step explanation:
Step-by-step explanation:
3 + 6 = 9
9 x 2 = 18
12/18 = 0.66 repeating
0.66 repeating >> simplified >> 2/3
**Please mark brainliest :))
What is the remainder in the synthetic division problem below? 14 6 - 1
Answer:8
Step-by-step explanation:
Which of these sets of angle measures could be the three angles in a triangle?
O 60' 70'. 80°
O 70.80.90
O 50°, 60° 70°
O 40, 50, 60°
What is the percentage of males given that they prefer butter pecan?
Answer:
67 percent wouldnt it?
Find the midpoint, M, of AB.
M
B
.
Too
[?]
22
Answer:
11 ?
Step-by-step explanation:
your question is a little bit strange and it's hard to understand, but the midpoint you need to find like this: AB/2 22/2=11
Find the constant. quickly please!
Answer:
Assuming you are asking for the slope which is 3 or in the equation format y=3x
Step-by-step explanation:
you must find the distance in the y- values and the x values, how each value increases or decreases. You may have heard of the phrase rise/run. To get to the pint (2,6) from (1,3), you must rise 3 units and move 1 unit. If you were to follow the rise/run method, you will need to divide the two numbers. In this case you will be dividing 3/1 which equals you. Then you must plug that number into the formula (y=mx+b).
What is the square root of 500.
Answer: 22.360679775
Step-by-step explanation: thats the answer
Answer:
The square root of 500 is 22.360679774998 or √ 500 = 22.360679774998
Step-by-step explanation:
Justine paid 35.70 for a lego set that was on sale. The original price of the set was $42.00 what is the percentage discount for the cost of the lego set?
Answer: The lego set is 15% off
f(x)= -x + 6x² - 10x +4
Multiply (12-5i)(-3+4i)
Answer:
−16 + 63i
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
Hope this helps! :D
Which of these points has the lowest absolute value?
A
-25
B
-13
c.
6
D
19
Answer:
A: -25
Step-by-step explanation:
negatives are below zero. And since 25 is above 13... -25 is below -13
What is the answer of 6xy + (-9xy)
Answer:
-3xy
Step-by-step explanation:
Answer:
6xy + ( -9xy) = 6xy - 9xy = -3xy
Al and Angela both took out loans from the bank for $2,000 to help with their bills. Al's loan was calculated with a simple interest rate of 14% and Angela's loan had an interest rate of 13% that compounded annually. They each paid off their loans in 5 years. Who repaid the bank more money and how much more did they repay?
Answer:
Angela $3680Step-by-step explanation:
For Al's loan (simple interest )
p=$2000
rate=14%= 14/100= 0.14
time t= 5years
A=p(1+rt)]
A=2000(1+0.14*5)
A=2000(1+0.7)
A=2000(1.7)
A=$3400
For Angela loan (compounded interest )
p=$2000
rate=13%= 14/100= 0.13
time t= 5years
A=p(1+r)^t
A=2000(1+0.13)^5)
A=2000(1+0.13)^5
A=2000(1.13)^5
A= 2000*1.84
A=$3680
Angela repaid more
Please help I’ll give brainiest!!
Answer:
The 3rd One
Step-by-step explanation:
All real numbers greater than or equal to -6 and less than 8
Hope this helps ;)
A local jewelry store sells class rings. The store engraves a name and date on the ring and sells it using a markup rate of 340%. Write an equation that can be used to find the amount of markup y on the cost of a ring x.
The proportional equation that can be used to find the amount of markup y on the cost of a ring x is given by:
[tex]y = 3.4x[/tex]
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.In this problem, the markup rate is of 340%, hence [tex]k = \frac{340}{100} = 3.4[/tex].
Then, the equation is:
[tex]y = 3.4x[/tex]
You can learn more about proportional equations at https://brainly.com/question/25067191
Florence is playing the Myth Monsters video game, where players gain and lose points in battle. At the beginning of the second level she had 38 points, but she soon got-12 points for losing a battle. What is Florence's score now?
Answer:
The answer to this is 26
Step-by-step explanation:
38+(-12)=26
Answer:
26
Step-by-step explanation:
Someone plz help me and plz show working out
Answer:
20y
Step-by-step explanation:
Area of rectangle = area of square
=> length * breadth = side²
=> 50y * 8y = side²
=> 400y² = side²
=> (20y)² = side²
=> 20y = side length of square
) Suppose you are installing a wood floor in a square room. The cost to install the floor is $9 per square foot. The area of the room is given by the function A(x) = x 2 and the cost per square foot is given by the function C(A) = 9A. Which function can be used to find the total cost to install the wood floor? A) A(C(x)) B) C(A(x)) C) x(A(C)) D) x(C(A))
Answer:
The correct option is;
B) C(A(x))
Step-by-step explanation:
The given information are;
The cost to install the floor per square foot = $9
The area of the room is given by the function A(x) = x²
The function for the cost per square foot = C(A) = 9·A
We note that the total cost to install the wood floor = (The cost to install the floor per square foot) × (The area of the room)
∴ The total cost to install the wood floor = $9 × x²
Given that A(x) = x², we have;
The total cost to install the wood floor = $9 × A(x)
Also, given that C(A) = 9·A, we have;
C(A(x)) = 9·A(x)
Therefore;
The total cost to install the wood floor in dollar amount can be given by the function, C(A(x)) = 9·A(x)
Answer:
B if your doing prep
Step-by-step explanation:
math
whats 9+10
word to my mutha
Answer:
21 is the correct answer
Solve 3x – X + 2 = 12. (1 point)
100
can you help me find the answer to -1/3+-7/4
Answer:
2.08333333333
Step-by-step explanation:
fromm google
can I have brainliest
Answer:
-25/12
Step-by-step explanation:
It is basically adding 1/3 to 7/4 then placing a negative in front.
Find the measure of angle b
Answer: Around 90 degrees. Atleast 87 or so.
Step-by-step explanation:
Acute angles are 90 degrees, so I estimated it would be a little less then that, for the other angle measures 128 as it says on your picture.
Stay safe! I’m sorry if it didn’t help you much.
Algebra 1. 5(x + 6) – 2x = 3(x + 10)
Answer:
your answer is 3x+30=3x+30 so they are the same
Step-by-step explanation:
The gas tank on a car holds 13.4 gallons. If the car goes 335 miles on a single tank, how many miles per gallon does the car get? Provide an explanation of what the final answer means, in terms of the given problem. Show all work.
chile..
Answer:
The car gets 25 miles per gallon.
It means that for each gallon of gas the car uses, it will travel a distance of 25 miles.
Step-by-step explanation:
"Miles per gallon" is calculated by dividing the number of miles by the number of gallons.
mpg = (335 miles)/(13.4 gallons) = 25 miles per gallon
Answer:
The car gets 25 miles per gallon.
It means that for each gallon of gas the car uses, it will travel a distance of 25 miles.
Answer:
25
Step-by-step explanation:
You need to divide 335 miles by 13.4 to find the miles per gallon. 335 miles divided by 13.4 gallons is 25. So for every 25 miles you use 1 gallon.
Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per hour is less than the amount Hamish earns per hour. How much does each of them earn per hour? A. Hamish earns $18 per hour, and Harry earns $23 per hour. B. Hamish earns $19 per hour, and Harry earns $24 per hour. C. Hamish earns $21 per hour, and Harry earns $25 per hour. D. Hamish earns $20 per hour, and Harry earns $26 per hour.
Answer:
D. Hamish earns $20 per hour, and Harry earns $26 per hour.
Step-by-step explanation:
Hamish and Harry work as plumbers. Harry earns a dollar more than 5/4 the amount Hamish earns per hour. The amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour. How much does each of them earn per hour?
Hamish earnings per hour = x
Harry earnings = 1 + 5/4x
The amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
Harry also earns = 7/5x - 2
Equate both Harry's earnings
1 + 5/4x = 7/5x - 2
Collect like terms
1 + 2 = 7/5x - 5/4x
3 = 28x-25x/20
3 = 3/20x
Divide both sides by 3/20
x = 3 ÷ 3/20
= 3 × 20/3
x = 20
Hamish earnings per hour = x
= $20
Substitute Harry's earnings into 7/5x - 2
= 7/5 × 20 - 2
= 28 - 2
= 26
Harry's earnings = $26
D. Hamish earns $20 per hour, and Harry earns $26 per hour.
so, um I'm very confused, the question says put the number of protons, electrons, and neutrons.
Answer: 4 square units
Step-by-step explanation:
To find the value of A in square units, substitute into the equation for s and solve.
PLEASE HELP ASAP!!! 28 POINTS!
Consider the statement "Two lines in a coordinate plane are parallel if and only if the slopes of the lines are m and m, where m is any real number." Is this statement true or false? Explain your reasoning.
Statement is true.
The slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts.
Their:
1. corresponding angles are equal.
2. Alternative interior angles are equal.
3. Consecutive interior angles are supplementary.
4. Consecutive exterior angles are supplementary.
If f() = 3 -3 and g(x) = 3x2 + x - 6, find (f+ g)(x).
O A. 3x?- 1x-3
B. 3x2 + x - 3
C. 4x2 - 9
D. 3x2 + x - 9
