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.
Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C and D
Step-by-step explanation:
i just took the quiz
From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Determining perfect square trinomialsRecal that,
An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac
For x² -9a = 1, b = 0, c = -9
0² ≠ 4(1)(-9)
0 ≠ -36
∴ x² - 9 is NOT a perfect square trinomial
For x² - 100a = 1, b = 0, c = -100
0² ≠ 4(1)(-100)
0 ≠ -400
∴ x² - 100 is NOT a perfect square trinomial
For x² -4x +4a = 1, b = -4, c = 4
(-4)² = 4(1)(4)
16 = 16
∴ x² - 4x +4 is a perfect square trinomial
For x² +10x +25a = 1, b = 10, c = 25
(10)² = 4(1)(25)
100 = 100
∴ x² +10x +25 is a perfect square trinomial
For x² +15x +36a = 1, b = 15, c = 36
(15)² ≠ 4(1)(36)
225 ≠ 144
∴ x² - 4x +4 is a NOT perfect square trinomial
Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Learn more on Determining perfect square trinomials here: https://brainly.com/question/2514855
What is 1 x 10^3 in standard form? Show work of how you did it please :)
Answer:
1×10^3 = 1000
Step-by-step explanation:
so basically its 1×10×10×10
The standard form of the given scientific notation is 1000.
The given scientific notation is 1×10³.
What is the standard form of a number?The standard form means the process of writing very large expanded form of a number into small form or small number.
Now, the standard form of 1×10³ is
1×1000
= 1000
Therefore, the standard form of the given scientific notation is 1000.
To learn more about the standard form of a number visit:
https://brainly.com/question/13139379.
#SPJ2
Show the proper algebraic steps to solve 5x + 34 = 2(1 -7x)
Answer:
x=-1.68
Step-by-step explanation:
5x + 34 = 2(1 -7x)
5x+34=2-14x
5x+14x=2-34
19x=-32
x=1.68
17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km
Answer:
(c) 3 km
Step-by-step explanation:
Speed in still water: 8 km/h
Speed of river: 2 km/h
Speed downstream: 8 km/h + 2 km/y = 10 km/h
Speed upstream: 8 km/h - 2 km/h = 6 km/h
total time both ways: 48 minutes = 48/60 hour = 0.8 hour
time to go upstream: t
time to go downstream: 0.8 - t
speed = distance/time
s = d/t
d = st
Upstream:
d = st
d = 6t
Downstream:
d = st
d = 10(0.8 - t)
The distance upstream and downstream is the same.
6t = 10(0.8 - t)
6t = 8 - 10t
16t = 8
t = 0.5
d = 6t = 6(0.5)
d = 3
Answer: (c) 3 km
question 7 pls help i need help pls
Answer:
112
Step-by-step explanation:
m<pmo + m<qmn = m<pmn 90+22=112
Answer:
112
Step-by-step explanation:
add 90 and 22
please help help help
Answer:
I'm fairly sure its 4.93 grams.
Step-by-step explanation:
you take the origional water of 45.1ml and the new 52.3ml, and find the difference, which in this case is 7.2ml.
the density formula is D=M/V
D= Density
M=Mass
V=Volume
so it would be
D= 35.49/7.2
which is 4.93.
again this is just from what I remember of science class.
Answer: 4.93g/cm^3
Step-by-step explanation:
Formula for Density: D = mass / volume
We know that the mass of the unknown object is 35.49g
Mass = 35.49g
To find the volume
Initial water level: 45.1 mL
Final water level: 52.3mL
52.3cm^3 - 45.1cm^3 = 7.2cm^3
Volume = 7.2cm^3
Density = 35.49g/7.2^3
Density =
Which polynomial is in standard form?
A)
2x - 3x2 - 4x} + 6x4 + 8
B)
2x4 - 7x² - 6x² + 3x + 9
5 + 7x2 + 6x + 3x5 + x
D)
5 + 7x3 - 6x² + 3x + 9x
Answer:
A
Step-by-step explanation:
can you give me a real-world problem that involves multiplying a fraction and a whole number?
Answer:
Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.
Step-by-step explanation:
rishi and kyle spent the same amount of time.
6/4 and 6/4 hours
Which sequence of transformations confirms congruence by mapping shape I onto shape II? A. a reflection across the x-axis and then a translation 15 units left B. a 90° clockwise rotation about the origin and then a translation 25 units up C. a 90° counterclockwise rotation about the origin and then a translation 10 units left D. a 180° rotation about the origin and then a translation 10 units right
Answer:
The Answer is D.
Step-by-step explanation:
Answer: Its C
Step-by-step explanation:
Claudia studied for 45 minutes. Crystal studied for 5 minutes. The number of minutes that Claudia studied is how many times the number of minutes that Crystal studied?
Answer:
school sucks man but you gotta do it or else you get reported to the RUSSIANS for not doing your hw so here you goo...
9
9x5=45
Andrea is selling candles for a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the
candles for $10 each. The function of her profit can be modeled by c(x) = 10x - 50. The x represents the number
of candles she makes. She only has enough supplies to make 100 candles. What is the independent variable?
A school cafeteria spent $2,700 for ingredients necessary to prepare 450 meals. What is the rate spent per meal?
Answer:
$6
Step-by-step explanation:
If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.
In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars, what was the gas bill?
Answer:
49$
Step-by-step explanation:
#1 Shane bought 4 shirts for $17 and 4 pants. He spent a total of $71.
How much did each pant cost?
#2 Julie has 4 more apples than Sam. Julie and Sam have a total of 30
apples. Find the number of apples Julie has
Help me out please
The town of hillside has an elevation of 50 feet above sea level. The town of Lakeside has an elevation of -35 feet. A bicyclist rides from Lakeside to Hillside,and wants to find his change in elevation. He finds the difference between his final elevation, 50 feet, and his starting elevation, -35 feet. What is the difference?
Answer:
The difference is 85 ft.
Step-by-step explanation:
Elevation 1: 50 ft
Elevation 2: -35 ft
Difference = Elevation 1 - Elevation 2
Difference = 50 - (-35)
I can simplify this expression, as subtracting a negative number is the same as adding a positive number:
Difference = 50 + 35
Difference = 85
Answer: The difference is 85 ft.
Question 9
A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in
the roller coaster, but 3 seats are empty. Write an equation that can be used to determine the
number of seats in each car.
Answer:
[tex]4n = 24[/tex]
Step-by-step explanation:
Given
[tex]Cars = 4[/tex]
[tex]Empty = 3[/tex]
[tex]Occupied = 21[/tex]
Required
Determine an equation to find number of seats
Let the number of seats in each car be represented by n;
If [tex]1\ car = n[/tex]
Then:
[tex]4\ cars = 4 * n[/tex]
[tex]4\ cars = 4 n[/tex]
This implies that there are 4n total seats
Solving further:
[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]
Substitute values for the above parameters:
[tex]21 + 3 = 4n[/tex]
[tex]24 = 4n[/tex]
Reorder
[tex]4n = 24[/tex] ---- This equation can be used to solve for n
2. and 100 are a zero pair.jia
Answer:
More information please
Step-by-step explanation:
There is not enough information to complete the equation.
PLZZ HELP...i'm ready to go to bed...Where might you see "soda cans" in architecture or nature? (the shape of soda cans?
A soda cans like a cube with straight on top
Hailey makes a necklace with 24 blue beads and 32 purple beads. She wants to make a bracelet that uses the same ratio of blue beads to purple beads. She plans to use 6 blue beads for the bracelet. How many purple beads should Hailey use
Answer:
8
Step-by-step explanation:
Ratio of blue beads to purple: 24:32
Reduce it using four and it becomes 6:8
I need helpppp with this question
Answer: Y = 6 and X = 5
Step-by-step explanation: Im not sure But i think that that your supposed to subtract by 2 so 8 - 2 would equal 6 and then 7-2 equals 5 so yeah
Solve this
equation for m
y = mx + b
Answer:
m is represented as the slope
Step-by-step explanation:
Which of the following problems can be represented by the equation below? 5x - 15 = 15x
Answer:
6
Step-by-step explanation:
5x-15=15x
+15 +15
5x=30
5/5=1
30/5=6
1=6 or x=6
A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?
Answer:
34 square feet
Step-by-step explanation:
First, you need to find the other side of the garden in order to find the area a=l*w
The formula to find the length is, p-w*2=x x÷2=l
because, perimeter is l+l+w+w and area is just l*w
4.25*2=8.50
24.50-8.50=16
16÷2=8
l=8
So now we need to multiply the length and width to get the area.
8*4.25=34 sq. ft.
I hope that helps!
If the question was ”rewrite √︎(x) • ∜︎(x) in it's simplest rational exponent form” would the answer be 4x or x¾ ?
Answer:
x^3/4.
Step-by-step explanation:
√︎(x) • ∜︎(x)
= x^1/2 * x^1/4
= x^3/4.
i dont get this question.
Find x, when p(x) = -1,
Answer:
positive or negative 4
Step-by-step explanation:
p(x) is another form of saying y. plug in -1 as the y value. then look where on the graph it touches the line
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone.
Answer:
10 hrs
Step-by-step explanation:
4.12/2 = 2.06 hrs / person
Which ones are polygons?
Answer:
C
Step-by-step explanation:
it's a complex polygon
Answer: BCF
Step-by-step explanation:
What is the missing coefficient?
x2 + 4x
+
2x
x2 + x
please help me
1. Diquan bought a shirt for $20 and paid 10% in sales tax. What was total cost of
the shirt
Answer:
22 dollars
Step-by-step explanation:
20/10=2 dollars + 20= 22