Answer:
V = a²b³ + acb² units³
Step-by-step explanation:
The volume of a rectangular prism is given by :
V = l×b×h
Here, l = b² units
b = aunits
h = ab+c units
So, the volume of the prism is given by :
V = b² × a × (ab+c)
= ab²(ab+c)
= a²b³ + acb²
Hence, the required volume is a²b³ + acb² units³.
HelpppPppppp me if u do ill give u a pringle
Paul paid $10 for a ticket to the fair and then another $2 per ride. Write an equation to show how many rides x, Paul can take if he has $40.
2x = 40
2x - 10 = 40
10x + 2 = 40
2x + 10 = 40
Answer:
D) 2x+10=40, x= 15 rides
Step-by-step explanation:
Since Paul only bought one ticket, then $10 is the constant of the equation. Since Paul pays $2 per ride, $2 will be the rate/coefficient of the equation.
Since we are solving for x, $40 will be on the right side of the equation
Putting these three facts together, we can make the equation 2x+10=40 which means D is correct
Find the sum of 2√5 and 3√16 in simplest form. Also, determine whether the result is rational or irrational and explain your answer
Answer:
2√5 +12 or 16.47213595....
Step-by-step explanation:
Part A - The sum of 2√5 and 3√16 in its simplest form is 2(√5 + 6).
The given numbers are surds.
To find the sum of 2√5 and 3√16, we perform the arithmetic operation of addition on the surds.
So, 2√5 + 3√16 = 2√5 + 3 × 4 (√16 = 4)
2√5 + 3√16 = 2√5 + 12
Factorizing out the factor 2 from both expressions, we have
2√5 + 3√16 = 2√5 + 6 × 2
2√5 + 3√16 = 2(√5 + 6)
So, the sum of 2√5 and 3√16 in its simplest form is 2(√5 + 6).
Part B - The result is irrational.
The result is irrational because 2(√5 + 6) cannot be expressed as a ratio of two integers since √5 is irrational and √5 + 6 is irrational and thus 2(√5 + 6) is also irrational since it cannot be expressed as a ratio of two integers. Also, its decimal representation is non-terminating or repeating.
Thus, the result is irrational.
Learn more about surds here:
https://brainly.com/question/20459639
f (x)=5x+1 9(x)=-2x+15
Answer:
x = 0
Step-by-step explanation:
(x)=5x+19(x)=-2x+15
We move all terms to the left:
(x)-(5x+19(x))=0
We add all the numbers together, and all the variables
x-(+24x)=0
We get rid of parentheses
x-24x=0
We add all the numbers together, and all the variables
-23x=0
x=0/-23
x=0
A car rental agency charges 150 per week +0.45 per mile to rent car express the weekly cost to rent a car if as a function of the number of miles driven during week X
Answer:
The required function is:
[tex]C(x) = 150+0.45x[/tex]
Step-by-step explanation:
We have to represent the given scenario as an equation or function
Let x be the number of miles driven in a week
Let C(x) be the function of the number of miles driven
As it is given that charges are 150 per week, these charges are constant so they will be used as it is.
It is also given that the cost of car is 0.45 per mile so for x miles the cost will be:
0.45x
Combining both terms, we get
[tex]C(x) = 150+0.45x[/tex]
Hence,
The required function is:
[tex]C(x) = 150+0.45x[/tex]
What is the 30th term in the sequence 10, 12, 14, 16, 18...?
I need help plzz
Answer:
68
Step-by-step explanation:
There are 2 ways you can do this.
1: You can count it up!
10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68!
2: You can do multiplication and addition.
2 x 30 + 8 = 68
Answer:
68
Step-by-step explanation:
the 30th term is 68
the pattern is 2n+8
2n+8
2x30+8 dont thank me thank the other guy
Landon hands out 120 flyers in 2 hours. Fernando hands out 29 flysers in 30 minutes. Which equation can be used to determine the number of flyers Fernando handed out in 2 hours?
Answer:
0.5x = 48
96 flyers
Step-by-step explanation:
Given that:
Fernando hands out 29 flyers in 30 minutes ;
Number of flyers he hands out in 2 hours ;
29 flyers = 0.5 hours
Let number of flyers he hands out in 2 hours = x
Hence,
29 flyers = 0.5 hours
x = 2
0.5x = 48 flyers
x = 48 / 0.5
x = 96 flyers
solve the following systems of equations.
5x+3y+4z=1
4x-7y+3z=0
x+5y-2z=-11
Answer:
x= 8
y= -5
z= 0
Step-by-step explanation:
this is the correct answer to this system of equations.
So for dilation when it says to dilate 1/3 how do I solve that (ex. 18, 9)
Answer:
The image of A(18, 9) after dilation by a scale factor of 1/3 will be: A'(6, 3).
Step-by-step explanation:
Let suppose the given point is A(18, 9)
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 1/3 centered at the origin
P(x, y) → P'(1/3x, 1/3y)
Here, P'(1/3, 1/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 1/3.Thus,
A(18, 9) → A'(1/3(18), 1/3(9)) = A'(6, 3)
Therefore, the image of A(18, 9) after dilation by a scale factor of 1/3 will be: A'(6, 3).
What is the median age
2. There are two different sizes of Fanta Pinapple for you to get. The first one is a
12 oz can, and the bottle has 33% more. How much does the bottle contain
approximately?
4 OZ
0 21 oz
O 16 oz
O 19 oz
Answer:
12/100*133= 15.96
approx 16oz
2.50x=15 + 1x
What is the answer
Answer:
.
Step-by-step explanation:
Answer:
If we are solving for x then the answer is x = 10
Step-by-step explanation:
To solve for x we must first get all the variables to one side
so subtract 1x from both sides
1.50x = 15
divide 1.50 both sides
x = 10
HELP NEEDED
Thank you
Step-by-step explanation:
h×I×w
;
8×6×4
= 192
hope it helps
The price of a toy usually costing £20 is increased to £24
Work out the percentage increase.
Answer:
20%
Step-by-step explanation:
4/20 = 1/5
1/5 × 100 = 20
Find the surface area of the prism.
The surface area is square millimeters.
Answer:
57.1mm^2
Step-by-step explanation:
4*4=16
16/2=8mm^2 cross section
(4*3) + (4*3) + (5.7*3) = 41.1mm
8*2=16
41.1+16=57.1mm^2
The surface area of the prism is S = 57.1 mm²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
Let the area of the 2 triangles be T
Let the area of the 2 rectangles be R
Let the area of the third side be U
Now , the total surface area of the prism = T + R + U
where T = 2 x ( 1/2 ) ( 4 x 4 )
T = 16 mm²
R = 2 x ( 3 x 4 )
R = 24 mm²
And , U = 5.7 x 3
U = 17.1 mm²
Therefore , the total surface area of prism S = 16 mm² + 24 mm² + 17.1 mm²
S = 57.1 mm²
Hence , the surface area of prism is S = 57.1 mm²
To learn more about surface area of prism click :
https://brainly.com/question/9183590
#SPJ2
The ratio of wins to losses was 3 to 5 for the Jackals
baseball team last season. The Jackals won 21 games
last season.
How many games did the Jackals lose last season?
Answer:
35
Step-by-step explanation:
3:5
21;35
as it must be * by 7 as 3*7=21
so therefore we times 5*7 as well
so they has 35 loses
Finish the following by finding what a equals.
a²+ b²= c²
a²+ 9²= 15²
a²+ 81 = 225
a² = 144
a =
Answer:
a=12 because 12^2=144
Plzzzz give me Brainliest!
PLEASE HELP! CORRECT ANSWER WILL GET BRAINLIEST
Answer:
y<1/4x+3
Step-by-step explanation:
Footlocker has sale ln any three shirts for $55.50 meanwhile nike is having their own sale ln any five sale shirts for $79.99 which store offers the best deal what is your saving per shirt
Answer:
The nike store offers the best deal
The saving per shirt is $2.50
Step-by-step explanation:
Here, we want to compare the prices offered in the two stores
In footlocker, you can get 3 shirts for $55.50
The sales per shirt is thus;
55.5/3 = $18.50
For Nike,
5 shirts for $79.99 which is almost $80
So the price per shirt is $80/5 = $16
We can see that the price at the nike store is better
The difference leading to the savings is;
18.5-16 = $2.50
So you save $2.50 buying from the nike store
A garden is 80m long and 70m broad. A path 4m wide is to be built outside all around it along its border. Find the area of the path?
Answer:
(4 x 80) x 2 = 640 m²
(4 x70) x 2 = 560 m²
Total : 1,200 m²
Step-by-step explanation:
Ethan’s car averages 22 miles per gallon of gas. Predict how far he can travel on 5 gallons of gas.
Answer:
110 have a good one
Step-by-step explanation:
22x5 is 110
a bag contains 3 red marbles and 4 blue marbles.
a marble is taken at random from the bag and replaced.
another marble is taken from the bag.
work out the probability that the two marbles taken from the bag are the same colour.
give answer as a fraction.
Danielle and hector are selling raffle tickets to raise money for the school band.Danielle sells 5 tickets per day for 4 weeks straight.she then sells 4 tickets per day for 1 week.how many tickets does hector need to sell if he wants to sell mor tickets than Danielle
Answer:
more than 168 tickets
Step-by-step explanation:
4 weeks = 28 days
5 x 28 = 140
1 week = 7 days
4 x 7 = 28
140 + 28 = 168
In order for hector to sell more than Danielle he has to sell a # of tickets that is greater then 168.
The cost of a car battery costs $35 wholesale for the automotive store to buy, but they need to markup the cost 40% for the retail price. How much is the markup amount? And how much is the retail price?
Answer:
The markup amount is $14 and the retail price is $49.
Step-by-step explanation:
You can use the following formula to find the retail price with the information provided:
Retail price=Cost*(100%+markup %)
Cost=35
Markup %= 40%
Now, you can replace the values in the formula:
Retail price=35*(140%)
Retail price=49
Now, you can subtract the cost from the retail price to find the markup amount:
49-35=14
According to this, the answer is that the markup amount is $14 and the retail price is $49.
A rectangular box has its length and width doubled and its height tripled. The volume of the new box will be
Answer:
volume of the new box = 12 x volume of the initial rectangular box
Step-by-step explanation:
Let the length, width and height of the rectangle be represented by l, w and h respectively.
The volume of a rectangle is given as;
volume = l x w x h
= lwh
From the given question, the dimension of the rectangle are:
new length = l + l = 2l
new width = w + w = 2w
new height = h + h + h = 3h
So that, the volume of the new box is given as;
volume of the new box = 2l x 2w x 3h
= 12 (lwh)
Therefore,
volume of the new box = 12 x volume of the initial rectangular box
In a survey of 2,000 people who owned a certain type of car, 1,320 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
____% of the people surveyed were satisfied with the car.
(Type a whole number.)
Answer: Total number of those who took part in the survey (T)=2000
Those who were satisfied (t)=1320
Percentage of those who were satisfied (S)=(t/T)*100
S=(1320/2000)*100
S=66%
Therefore only 66% were satisfied
Step-by-step explanation:
You set up a hot chocolate stand at a football game. The cost of your supplies is $75. You charge $0.50 for each cup of hot chocolate. Write a function that represents the profit P for selling c cups of hot chocolate.
Answer:
P = 0.5c - 75
Step-by-step explanation:
Profit is = selling price. - cost price
Cost price is the amount the supplies were bought = $75
The cost of c cups at $0.5 per cup will be
0.5 * c = $0.5c
The profit here is thus;
P = 0.5c - 75
Evaluate [(40 + 5) - 3^2] divided by 9 times 2
Sasha works for the Humane Society and had to buy food for the dogs. She buys 1614 pounds of dog food. She feeds each dog about 58 of a pound. How many dogs can she feed?
26
25
10
6
27 but 27 isn't there so do 26
Answer: A
Step-by-step explanation: because when dividing 58 into 1614 it equals 27.23 but the answer choice isn't there so i would choose 26
I need to know the answer
Answer:
1 solution - 6
Step-by-step explanation:
add 9 on both sides
3x = 18
divide by 3 on both sides
x = 6
u can solve them using 3 solutions
-rewrite in standard form
-rewrite in implicit form
-graphing
Evaluate 5 + 3x for (a) x= -2 and (b)x= 3. Write your answers in simplest form.
Answer:
a. -1
b. 14
Step-by-step explanation:
a.
5 + 3(-2)=
5 + (-6)=
-1
b.
5 + 3(3)=
5 + 9=
14
When x = -2, the value of 5 + 3x is -1,
and when x = 3, the value of 5 + 3x is 14.
Here, we have,
given equation is: 5 + 3x
To evaluate the expression 5 + 3x for the given values of x:
(a) When x = -2:
5 + 3(-2)
= 5 - 6
= -1
(b) When x = 3:
5 + 3(3)
= 5 + 9
= 14
Therefore, when x = -2, the value of 5 + 3x is -1,
and when x = 3, the value of 5 + 3x is 14.
To learn more on equation click:
https://brainly.com/question/14468218
#SPJ6