Answer:
original price of skateboard = $54
Step-by-step explanation:
Let the original price of the skateboard be x
selling price = one third off the original price = $36
x - (1/3x) = 36
[tex]\frac{x}{1} - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]
[tex]\frac{2x}{3} = 36\\2x = 108\\x = \frac{108}{2} = 54[/tex]
∴ x = 54
The ratio of hens to rabbits in the barn at Wunderlich Farms is 3 to 5. If there are nifty-six animals in the barn, how
many are rabbits?
11
35
21
36
Answer:
35 rabbits
Step-by-step explanation:
hens : rabbits : total
3 : 5 : 3+5
3 : 5 : 8
We have 56 total animals
56/8 = 7
Multiply each term by 7
hens : rabbits : total
3*7 : 5*7 : 8*7
21 : 35 : 56
There are 21 hens and 35 rabbits
•
Suppose you had 28 baskets of 6 apples and 5 baskets of 9 apples.
How could you quickly figure out how many baskets of 3 apples you could create?
Answer:
71 baskets of 3 apples.
Step-by-step explanation:
From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.
From each of the 5 baskets you can get 9/3 = 3 baskets of 3.
Therefore:-
From the 28 baskets you can create 28 * 2 = 56 baskets of 3.
From the 5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.
Total 15 + 56 = 71.
The pig pen below has a width of 7 feet and a length of 4 feet. What is the area of the pig pen. Show your work and remember that area is in square units. Hog Pen with Cover: Little Buster Toys
Step-by-step explanation:
It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.
A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?
Answer:
A bag contains:
8 blue balls.
7 green balls.
5 red balls.
The probability that the ball is red would be:
P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25
Hope this helps!
:)
Answer:
0.25
Step-by-step explanation:
Total balls: 8 + 7 + 5 = 20
Red balls: 5
P(red) = 5/20 = 0.25
The system of linear equations 5x+3y=3 and X+y=-1 is graphed below.
What is the solution to the system of equations?
O (4,3)
O 1-3.4)
Answer:
(3, - 4) is the solution to the system of equations.
Step-by-step explanation:
1. Rewrite one of the equations so it eighter starts with y= or it starts with x=
Here the easy way is to write X+y=-1 in the form x=
X= - y - 1
2. Substitute X= - y - 1 in the other equation 5X+3y=3:
5X+3y=3
X= - y - 1
5(- y - 1)+3y=3
-5y -5 +3y = 3
-2y = 3 +5
2y = -8
y = - 4
3. Now substitute this value y = - 4 in X= - y - 1
X= - (y) - 1
y = - 4
X= - (- 4) - 1
X = 4 - 1
X =3
4. So X =3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.
How much is House A worth after two years? Round your answer to the nearest dollar.
How much is House B worth after two years? Round your answer to the nearest dollar.
Answer:
see below
Step-by-step explanation:
Take the original value times the appreciation and add the original value
Do this for each year
House A
year 1:
new value = 125260+ 125260* .05
=125260 +6263
=131523
year 2:
new value = 131523+131523* .05
131523+6576.15
138099.15
Nearest dollar 138099
House B
year 1:
new value = 120160+ 120160* .06
=120160 +7209.60
=127369.6
year 2:
new value = 127369.60+127369.6* .05
127369.60+7642.18
135011.78
Nearest dollar 135012
Answer:
A: $138,099
B: $135,012
Step-by-step explanation:
A: growth rate: (100+5)/100 = 1.05
125260 × 1.05² = 138,099.15
B: growth rate: (100+6)/100 = 1.06
120160 × 1.06² = 135,011.776
Sasha is solving a multi-step equation. Her first step is shown below.
Equation: 3. - 8- 10x = 3(2x +3)
Step 1: 3 -- 10x - 8 = 6x + 9
Which properties did Sasha use to get to Step 1? Select all that apply.
addition property of equality
associative property of addition
commutative property of addition
multiplication property of equality
distributive property of multiplication over addition
Answer:
On the left side, she used commutative property
On the right side, she used distributive property
Step-by-step explanation:
Graph f(x) =
x and g(x) = -1/3x+2
on the same coordinate plane.
Select all the equations where a = 8 is a solution.
Choose 3 answers:
A 2 + 11 = 15
6 l = 8 + 0
©
15
a = 23
0 42 = 7a
Answer: B, C and E
Step-by-step explanation:
Noah pays $25.20 for non-perishable food items to give to the local homeless shelter,
The price includes a 5% sales tax.
What is the price before tax, 6, of
the food items?
b=$
w
Answer:
The original price of the food items was 24.
4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.
Answer: 2 prices
Step-by-step explanation:
Price per play = $0.50
Total amount incurred by Gina in playing =$4
Therefore, total games played :
$4 ÷ $0.5 = 8 games.
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
Probability of winning:
P(WIN) = ( required outcome / Total possible outcome)
P(win) = 3/12 = 1/4
Therefore, the number of prices she can expect to win is (1/4) × number of games (8)
(1/4) × (8) = 2
Find the perimeter and the area of the polygon with the given vertices.
S (3,0), T (3,9), U (8,9), V (8,0)
Answer: area =45 perimeter=28
Step-by-step explanation: height is 9, length is 5 5x9 =45
9+9+5+5= 28
Which of the following lists all of the positive factors of 18?
The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.
Step-by-step explanation:
Which expression is equivalent?
7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19
Answer:
this is so overdue
Step-by-step explanation:
Find the value of the variables for each set or similar figures
Answer:
3
Step-by-step explanation:
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
Answer:
(4;0)
Step-by-step explanation:
y=0
2x-3×0=8
2x=8
x=4
What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles
Answer:
The population density is 7592 people per square mile
Step-by-step explanation:
The population density of los Angeles here refers to the number of people present by square miles
Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles
The population here is 4,000,000 while the area is 503 square miles
The population density is thus ;
4,000,000/503 = 7592.29 which is approximately 7592 people per square mile
can someone give me some examples of statistics PLEASE
Answer:
Weather Forecasts,Genetics,Medical Studies i think
Step-by-step explanation:
Fourteen subtracted from the product of a number and -3 is 25
Answer:
5.5 is the number.
Step-by-step explanation:
14-(-2x)=25
Solve the equation.
2x=11
x=5.5
The value of number is -13.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Fourteen subtracted from the product of a number and -3 is 25
let the number be x
product of a number and -3= -3x
and, Fourteen subtracted from the product of a number and -3
= -3x- 14
So, -3x -14 = 25
-3x = 25+14
-3x = 39
x= -13
Hence, the value of x is -13.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ5
Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem.
Answer: 4/8
Step-by-step explanation:
From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.
To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:
= 1 2/8 - 6/8
= 4/8
She gave 4/8 to Mr Andrews.
hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3
Answer:
They do have the same solution
Step-by-step explanation:
In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).
Solve the following:
A) a/5+3=8
B) 3b/7-1=5
Answer:
A)25
B) 14
Step-by-step explanation:
A) a/5 + 3 = 8
a/5 = 8 - 3
a = 5 x 5
a = 25
B) 3b/7 -1 =5
3b/7 = 5+1
3b = 6 x 7
b = 42/3
b = 14
The absolute value of -1/4 is
Answer: 1/4
Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.
Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer
Step-by-step explanation:
2 Buildings : 3 Floors Each : 16 Windows per Floor
Multiply 2 and 3 to get the total amount of floors.
2 times 3 equals 6
Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.
6 times 16 equals 96
Therefore, there are 96 windows in total or 48 windows per building
Please help me I really need your help please help me
Answer:
Step-by-step explanation:
Q8) Diameter = 14 in
r = 14/2 = 7 in
Area of missing chunk = πr²/4
= (3.14 * 7 * 7)/4
=1/4(3.14*7*7)
option 4
Q9) 90 degrees
Q10) Each minute = 6°
In the figure shown, it is 15 minutes
= 15* 6 = 90 degrees
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Answer:
the answer you are looking for is b=7
If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible
Answer:
likely or probable
Step-by-step explanation:
hhhgfd
Consider circle C with angle ACB measuring 3 pi/4 radians if minor arc AB measures 9 pi inches what is the length of the radius of circle C if necessary round your answer to the nearest inch
Answer:
r = 12 inches
Step-by-step explanation:
In this question, we are asked to calculate the length of the radius of the circle.
This is accessible from using the length of an arc.
Mathematically, the length of an arc can be calculated using the formula;
Theta/360 * 2 * pi * r
Where Theta is the angle subtended at the center and r is the radius of he circle.
According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)
Thus we have;
9 pi = 135/360 * 2 * pi * r
divide through by pi
9 = 270r/360
360 * 9 = 270r
r = (360 * 9)/270
r = 12 inches
Answer:
b
Step-by-step explanation:
2/9 times n = -6. find the value of n. Please help!
Answer: n = -27
Step-by-step explanation:
2/9n = -6
divide both sides by 2/9
n = -27
Find the number, if...
3/8 of it is 24.
