Given :
Ben's age x is 3 times his age 12 years ago.
To Find :
The current age of Ben.
Solution :
It is given that current age of Ben is x.
So, his age 12 years ago is (x - 12).
Expressing given condition mathematically , we get :
[tex]x=3(x-12)\\\\x=3x-36\\\\2x=36\\\\x=18\ years[/tex]
Therefore, current age of Ben is 18 years.
Hence, this is the required solution.
4 times 4 times 4 times 4
4 x 4 x 4 x 4 = 256
Hope this helps and have a great day!
Answer:
64
Step-by-step explanation:
4 times 4 times 4
4 times 4 is 16 then times that by 4 is 64
how to find out L C M of common division method
Step-by-step explanation:
To find the LCM by division method, we write the given numbers in a row separately by commas, then divide the numbers by a common prime number. We stop dividing after reaching the prime numbers. The product of common and uncommon prime factor is the LCM of given numbers.
For example
2 24,12
2 12,6
2 6,3
3 2,1
2 1,1
LCM=2×2×2×3×2
=48
HELP IMMEDIATELY! Please help, on 1, 2 and 3. I’m so lost :(
When two variables are proportionate, they increase and decrease at the same ratio.
36 / 40 = 0.9
0.9 * 140 = 126
When y = 140, x = 126.
2. 150 / 30 = 5
5 * 48 = 240lbs
A person who weighs 48 lbs on the moon weighs 240lbs on Earth.
3. 110 / 66 = 0.6
0.6 * 80 = 48
y = 48 when x = 80
Solve -4(3x – 7) = 52 for x.
Answer:
x = -2
Step-by-step explanation:
First, distribute:
-12x + 28 = 52
Then, subtract 28 on both sides:
-12x = 24
Finally, divide -12 on both sides:
x = -2
Hope this helps!
Answer:
Your answer is x= -2
Step-by-step explanation:
[tex]-4(3x-7)=52[/tex] divide both sides by -4
[tex]\frac{ -4(3x-7)}{-4} = \frac{52}{-4}[/tex] cross out -4 and divide 52 by -4= -13
[tex](3x-7) = -13[/tex] add 7 to both sides -13+7=-6
[tex]3x= -6[/tex] divide both sides by 3
[tex]\frac{3x}{3} = \frac{-6}{3}[/tex] cross out the 3 and divide -6 by 3 = -2
[tex]x=-2[/tex]
What is 9+10? is it 21?
Answer:
I know the joke your trying to pull of :>
Step-by-step explanation:
But if u really need help it's 19
10+9=19
instead of 21
Hope you liked
Thank Youa number less than 10away from 700
Answer:
x<700-10
Step-by-step explanation:
I hope that is what you are looking for, the x stands for the number
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y = -3 ÷ 2x - 3
Step-by-step explanation:
As it can be seen that the line is passed by y-axis at -3.
Now we have to determine the slope
For this, use the following formula
= (x2 - x1) ÷ (y2 - y1)
At
(-2, 0), (0, -3)
So,
= (-3-0) ÷ (0+2)
= -3 ÷ 2
Now
Put in the following equation
y = mx + b.
where,
m = slope
b = y-intercept
So,
y = -3 ÷ 2x - 3
is 5832 composite prime even odd
Answer:
it is an even composite of number
Hello there!
5832 is composite and even
If a number's last digit is 2, 4, 6, 8, or 0 or 5, then the number is composite.
If a number's last digit is 2, 4, 6, 8 or 0, then the number is even.
Hope this helps you!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
Find the length of AB if AB = x + 10, BC = x + 14, and AC = 32.
Answer:
14
Step-by-step explanation:
AB + BC = AC
[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]
AB = 4 + 10 = 14
Answer:
AB = 14Step-by-step explanation:
AB + BC = AC
x + 10 + x + 14 = 32
2x + 24 = 32
-24 -24
2x = 8
÷2 ÷2
x = 4
AB = x+10 = 4+10 = 14
6. During the school fundraiser, the 4th grade raised $2,124. The 5th grade raised $396 less than 4th grade. How much money did the 4th and 5th grades raise together?
Answer:
$3,852
Step-by-step explanation:
Total for 4th grade: 2,124
5th grade: raised 396 less
2,124-396= total amount 5th graders raised
2,124-396=1,728
2,124+1,728=3,852
They raised $3,852 dollars.
Answer: 3,852
there you go
Ina school 3/7 of the student are girls if there are 240 boys, find the number of girls
The number of Girls in a school is 180.
Find the number of girls.
There are girls in a school = 3/7
Number of boys in a school = 240
Assume that there are x students in a school.
Number of Girls = 3/7 of All Students.
= 3/7 of x
= 3x/7
We know that,
Total Students = Number of Boys + Number of Girls.
240 + 3x/7 = x
240 = x - 3x/7
240 = (7x - 3x) /7 (Taking L.C.M.)
240 × 7 = 4x
x = 60 × 7
x = 420
Total number of Students in a school is 420.
Thus, Number of Girls = 3/7 × x
= 3/7 × 420
= 180
So, the number of Girls in a school is 180.
Learn more about problems on find the number.
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Reginald has to put fertilizer on his yard. The bags of fertilizer cost $4.79 and cover 3500 square feet. Reginald's yard is a rectangle that measures 427 ft by 231 ft. How much will he spend on fertilizer?
He'll spend 138.91 dollars.
First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.
h(x)=-3x+1
evaluate h(-2)
Answer:
h(-2) = 7
Step-by-step explanation:
Plug in -2 for h in the equation:
h(x) = -3x + 1
h(-2) = (-3)(-2) + 1
Remember to follow PEMDAS. First, multiply, then add:
Multiply. Note that when you multiply two negative numbers, the answer will be positive:
(-3) * (-2) = (3 * 2) = 6
Next, add:
h(-2) = 6 + 1 = 7
h(-2) = 7
h(-2) = 7 is your answer.
~
Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .
Answer:
Answer:
AB=4
Step-by-step explanation:
Answer:
AB=4
Step-by-step explanation:
1. Since you are finding the intersection points of two parabolas:
a. y=-x²+9
b. y=2x²-3
2. You have to set them equal to each other:
2x²-3= - x²+9
2x²+x=9+3
3x²=12
x²=4
This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.
√x²=±√4
x=±2
or
x=2; x=-2
3. Then you substitute them into each equation. For this step, any sign 2 will work.
a. y=-(2)²+9
y=-4+9
y=5
b. y=2(2)²-3
y=8-3
y=5
4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.
5. Now we use the distance formula:
The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.
=
√16=
4
The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.
So AB=4
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
With this, we will found that the distance between A and B is: 4 units.
The first thing we need to do is find A and B.
We know that the points are the intersection between the two parabolas.
y = -x^2 + 9
y = 2*x^2 - 3
The intersection is given by the zeros of the difference:
(2*x^2 - 3) - (-x^2 + 9) = 0
3*x^2 -12 = 0
3*x^2 = 12
x^2 = 12/3 = 4
x = √4 = ±2
To find the points, we need to evaluate one of the parabolas in these two x-values.
Let's use the first one:
y = -(2)^2 + 9 = 5
So we have the point (2, 5)
For the other point:
y = -(-2)^2 + 9 = 5
So we have the point (-2, 5)
Then we can define:
A = (2, 5)
B = (-2, 5)
Using the distance equation we get:
[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]
The distance between A and B is 4.
If you want to learn more, you can read:
https://brainly.com/question/12082741
26°
58°
X
What is the measure of angle x in degrees?
a. 70°
b. 84°
C. 96°
d. 122°
Answer:
b. 84
Step-by-step explanation:
180-26-58=96
180-96=84
You think you can help me?
A person who had $1,000,000 gave $100 to charity. How much must a student who has $100 give to charity to give proportionally the same as the millionaire?
(100 / 1,000,000) × 100% = 0.01%
x = amount of money the student has to give.
(x / 100) × 100% = 0.01%
We can cancel out the 100's
x = $0.01
The student would have to give $0.01 or 1 cent
if I am 9 years old how old will i be in 29 years
Answer:
YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self
Step-by-step explanation:
Answer:
you would be 38
Step-by-step explanation:
29 plus 9 equals 38
combining like terms with negative coefficients
2y-3xy+4y-5xy ?
Answer:
6y - 8xy
Step-by-step explanation:
2y-3xy+4y-5xy
Combine like terms:
(2y+4y) + (-3xy -5xy)
6y - 8xy
Answer each question with a fraction. A cake that weighs 4 pounds was split equally among 8 children. How much cake did each child get?
Answer:
4/8 or 1/2
Step-by-step explanation:
Divide among 8 because its eight children
Help needed ASAP will give BRAINLIEST not a real test
Answer:
I believe the answer is $1702.50.
Step-by-step explanation:
If you multiply 1500 by 4.5% (0.045 as a decimal) you will get 67.5 which is $67.5 interest for one year. For three years, you have too multiply 67.5 by 3 and you get $202.5. Finally, you add the total interest to the starting amount, $1500, which results in $1702.50.
+) Six times the sum of a number and -1 is the same as 2 more than 8 times the number. Find the number.
Answer:
-4
Step-by-step explanation:
6(a+(-1)) = 8a + 2
then:
6(a-1) = 8a + 2
6*a + 6*-1 = 8a + 2
6a - 6 = 8a + 2
6a - 8a = 2 + 6
-2a = 8
a = 8/-2
a = -4
Check:
6(-4-1) = 8*-4 + 2
6*-5 = -32 + 2 = -30
Use the FOIL method to find the product below.
(x + 5)(x2 – 3x)
A. x3 + 2x2 - 15
B. x3+ 5x2 - 15x
C. x3+ 2x2 - 15x
D. x3 + 5x2 - 15
Answer:
work is pictured and shown
A tree is 4 1/2 feet tall, it is expected to grow by 1 3/4 feet per year at this rate how long will it take for the tree to have a height greater than 40 feet
Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
Help me please please!!
Answer: Robert put 5 * (8) * 2 instead of putting 5 * (-8) * 2
Please Mark me as brainliest
UV has endpoints at U(8, 2) and V(8,0). Find the midpoint M of UV.
Write the coordinates as decimals or integers.
What is 3|-a+5| if a is 7
Answer:
6
Step-by-step explanation:
The I I is just absolute value, so it will give a positive result. if a=7,
3I-7+5I
-7+5=-2, but because this is absolute value, -2=2
Then you have 3(2),
3*2=6
Use the pattern to extend the table. Then answer the question below. Include two decimals for each answer even if they are 0 Cars Washed Money Earned (Hint: this is how much you would earn for 1 car) How much is earned per car? $ How much will be earned for 20 cars?
We know that 3 cars yielded $13.50
$13.50 / 3 = $4.50 / 1 car
$4.50 * 12 cars = $54.00
$4.50 * 15 cars = $67.50
$4.50 * 20 = $90.00
Hello i need help with 3/4(x+2) =6
Answer:
X = 6.
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
since you want to solve for x, you want to get it by itself
to start, you want to try to get (x+2) by itself, and you can do this by multiplying both sides by the reciprocal of 3/4
[tex](\frac{4}{3}) \frac{3}{4}(x+2) = 6 (\frac{4}{3})[/tex]
since a number multiplied by its reciprocal is equal to 1, this leaves you with
[tex](x+2) = \frac{24}{3}[/tex]
[tex](x+2) = 8[/tex]
now, you can subtract 2 from both sides in order to get x by itself
[tex](x+2)-2 = 8-2[/tex]
[tex]x = 8-2=6[/tex]
and then you have your answer
x = 6
hope this helps :)
What is 55% of $11,000 dollars?
$550
$5,500
$6,050
$5.00
Answer:
6,050 would be the right answer
Step-by-step explanation: