Answer: $235,62
Step-by-step explanation:
You need to use the formula for calculate the volume of a cylinder:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
You know that the cylindrical container has a diameter of 0.5 feet and a height of 5 feet (Remember that the radius if half the diameter):
[tex]r=\frac{0.5ft}{2}=0.25ft\\\\h=5ft[/tex]
Then, you need to substitute these values into [tex]V=\pi r^2h[/tex] to get the volume of the cylindrical container:
[tex]V=\pi (0.5ft)^2(5ft)[/tex]
[tex]V=3.92ft^3[/tex]
Since the gas costs $60 per cubic foot, you need to multiply the volume of the container by $60 to get the total value of the gas in the container if it's filled completely. Then:
[tex]total\ value=(3.92)(\$60)=$235,62[/tex]
Jessica purchased some suede shoes during the Leather Emporium's Semi-Annual Clearance Sale. If Jessica paid $45.00 for the shoes and the original price is $60.00, how much of a discount did she receive? A. 75% B. 25% C. 35% D. 20%
Answer:
Option A is correct.
Step-by-step explanation:
In this question the sale price and the original price of the shoe purchased is given. We need to find the amount of discount Jessica has received for purchasing shoes on sale.
Sale Price = $45.00
Original Price = $60.00
Discount she received=?
Discount received = Sale Price/Original Price
= 45/60
= 0.75
Converting it into percentage:
Discount received = 0.75 * 100
= 75%
So, Option A is correct.
Jessica received a 25% discount on the suede shoes she purchased during the Leather Emporium's Semi-Annual Clearance Sale.
Explanation:The subject of this question is discount percent. It is inferred from the question that Jessica purchased shoes worth $60.00 at a reduced price of $45.00. To compute the discount she got, we need to subtract the sale price from the original price, and then divide that result by the original price, and multiply it by 100 to get it in percentile form.
In this case, the discount received is calculated as (($60 - $45)/$60) * 100 = 25%. So, the correct answer to the question 'If Jessica paid $45.00 for the shoes originally priced at $60.00, how much of a discount did she receive?' is B. 25%.
Learn more about Discount Percentage here:https://brainly.com/question/20885539
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!!!!?!?!?!!!?!!?!!!!!?!!?!?!?!?!!?!?!?!
Answer:
it's A
Step-by-step explanation:
2x-y=6+2x-2y=4 start moving the numbers
Answer:
( 4 , 2 )
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
2 x - y = 6
2 x - 2 y = 4
x = 4 and y = 2
(2 × 4 )- (2 × 2) = 8 - 4 = 4
( 2 × 4 ) - 2 = 8 - 2 = 6
What is 755 divided by 5
Answer:
151
Step-by-step explanation:
Answer:
755 divided by 5 would be 151
suppose that one student is randomly selected during lunch time. what is the experimental probability if students the brought lunch from house is 55 and students that order school lunch is 45
Answer:
p(A) = 0.55
p(b) = 0.45
Step-by-step explanation:
Experimental probability = [tex]\frac{Number of favorable outcomes}{Total number of outcomes}[/tex]
total students = 55 + 45 ⇒ 100
let A be the probability that students brought lunch from house = [tex]\frac{55}{100}[/tex] ⇒ 0.55
let B be the probability that students order school lunch = [tex]\frac{45}{100}[/tex] ⇒ 0.45
What is the perimeter of this rectangle
Answer:
A. 2(x2 - 1) = 2(y2 - y1)
Step-by-step explanation:
Perimeter
P = 2W + 2L
W = √(x2 - x1)^2 = x2 - 1
L = √(y2 - y1)^2 = y2 - y1
So
P = 2(x2 - 1) = 2(y2 - y1)
Answer is A.
2(x2 - 1) = 2(y2 - y1)
Answer:
24 units
Step-by-step explanation:
To obtain the dimensions of this rectangle, count the number of blocks in each direction x and y. I count 7 blocks in the x-direction and 5 in the y-direction. Thus, the perimeter, P, is P = 2W + 2L, which here equals:
P = 2(5) + 2(7) = 24 units
What is the value of x given that figure ADCB
is an isosceles trapezoid?
A: 6
B: 4
C: 1.5
D: 2.4
Answer:
Step-by-step explanation:
Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.
ACD = BDC Properties of parallel lines.
DC = DC A line is equal to itself
DBA = CAB Property of parallel lines.
AC = DB Parts of Congruent triangles are congruent
3x + 15 = 7x - 9 Add 9 to both sides
3x + 15 + 9 = 7x
3x + 24 = 7x Subtract 3x from both sides.
24 = 7x - 3x
24 = 4x Divide by 4
24/4 = 4x/4
x = 6
The value of x given that figure ADCB is an isosceles trapezoid is 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
AC=3x+15 BD=7x-9
Now,
In an isosceles trapezoid, the diagonals are congruent. Hence, we can set AC equal to BD and solve for x: 3x + 15 = 7x - 9. Subtracting 3x from both sides, we get: 15 = 4x - 9. Adding 9 to both sides, we get: 24 = 4x. Dividing both sides by 4, we get: x = 6.
Therefore, by algebra the answer will be 6.
More about the Algebra link is given below.
brainly.com/question/953809
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BRAINLIEST please
Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C. Both Alec and Avis drew triangles, as shown below, to calculate the slopes:
A graph shows numbers from 0 to 18 on the x axis at increments of 2 and the numbers 0 to 6 on the y axis at increments of 1. A line AC is drawn that joins the ordered pairs 0, 0 and 18, 6.The ordered pair 6, 2 is labeled as B. A right triangle is drawn with AB as hypotenuse and height 2 units. Another right triangle is drawn with BC as the hypotenuse and height 4 units.
Which statement is correct about the slopes calculated by Alec and Avis if both calculated the slopes accurately?
Both calculated the slope as 3.
Both calculated the slope as 1 over 3.
Alec calculated the slope as 1 over 3 and Avis calculated it as 3.
Alec calculated the slope as 3 and Avis calculated it as1 over 3.
The answer is B . Please mark as brainliest :)
Answer:
The correct option is 2.
Step-by-step explanation:
It is given that Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C.
If a line passing through two points then the slope of the line is
[tex]slope=\frac{y_2-y_1}{x_2-x_1}=\frac{Rise}{Run}[/tex]
The coordinates of A and B are A(0,0) and B(6,2). The slope of line AB is
[tex]m_1=\frac{2-0}{6-0}=\frac{1}{3}[/tex]
The coordinates of B and C are B(6,2) and C(18,6). The slope of line AB is
[tex]m_2=\frac{6-2}{18-6}=\frac{4}{12}=\frac{1}{3}[/tex]
[tex]m_1=m_2[/tex]
Both Alec and Avis calculated the slope as 1/3. Therefore the correct option is 2.
A gumball machine has 150 red gumballs. If the red gumballs are 25% of the total number of gumballs, how many gumballs are in the gumball machine?
Answer:
Step-by-step explanation:
Because 25% is the same as 1/4. We can do the same thing as if we were changing 1/4 into a whole 1/4·4=1. So 25%·4=1. So 150·4 is our answer. So 150·4=600. There are 600 gumballs in the machine. :D
Answer:
600 Gumballs in total
Step-by-step explanation:
Write it as a proportion.
25/100 = 150/x
25x = 15000
x = 600 gumballs
OR
You could multiply 150 by 4 because 25% equals 1/4.
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=6
Step-by-step explanation:
x-2 = sqrt(28-2x)
Square each side
(x-2)^2 = (sqrt(28-2x))^2
(x-2)^2 = 28-2x
FOIL
x^2 -4x+4 = 28-2x
Subtract 28 from each side
x^2 -4x+4-28 = 28-2x-28
x^2 -4x-24=-2x
Add 2x to each side
x^2 -2x-24=-2x
x^2 -2x+2x-24=-2x+2x
x^2-2x-24 =0
Factor
(x-6)(x+4)=0
Using the zero product property
x=6 x=-4
Check for extraneous solutions
x=6
x-2 = sqrt(28-2x)
6-2 =sqrt(28-12)
4 = sqrt(16)
4=4
Solution
x=-4
x-2 = sqrt(28-2x)
-4-2 =sqrt(28+8)
-6 = sqrt(36)
-6=6
Not a solution
Type4/6 in the simplest form
Answer:
2/3
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
4 ÷ 2 = 2
6 ÷ 2 = 3
Answer:
2/3
Step-by-step explanation:
4/6 reduces to 2/3.
ASAP!! The coordinates g(7,3), h(9,0), I(5,-1) form what type of polygon
Answer:
Triangle (scalene)
Step-by-step explanation:
Polygon is a closed figure.
The names of polygons depends on the number of sides. Some common polygons are:
3 sides - triangle
4 sides - quadrilateral
5 sides - pentagon
6 sides - hexagon
Triangle and Quadrilaterals have their own types as well.
The points G, H , and I are shown in the attached image. As you can see, it creates a 3-sided figure, which is a triangle.
Note: Since all 3 sides have different length, we call it a "scalene triangle"
the speed limit on the highway is 60 miles per hour. Mr.Erikson is driving at 53 miles per hour. Write and solve an inequality to find how much faster Mr. Erikson can drive while still obeying the speed limit
[tex]53 + x \leq 60[/tex]
53 is what he's driving at, x is how much faster he can go, 60 is the speed limit.
If we solve it, we can see that Mr.Erikson can go 7 miles per hour faster.
Which point is an x-intercept of the quadratic function f(x)= (x-8)(x+9)?
A. (0,8)
B. (0,-8)
C. (9,0)
D. (-9,0)
Answer:D
Step-by-step explanation:
-9+9=0
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
Answer:
146cm^2
Step-by-step explanation:
Area of trapezoid:
(4+14)/2*10=90
Area of triangle:
(14*8)/2=56
90+56=146
For this case we have a figure composed of a trapezoid and a triangle.
By definition we have that the area of a trapezoid is given by:
[tex]A = \frac {(B + b) * h} {2}[/tex]
Where:
B: It's the biggest side
b: It is the minor side
h: It's the height.
So:
[tex]A = \frac {(14 + 4) * 10} {2}\\A = 90 \ cm ^ 2[/tex]
For its part, the area of a triangle is:
[tex]A = \frac {b * h} {2}[/tex]
Where:
b: It's the base
h: It's the height
[tex]A = \frac {14 * (18-10)} {2}\\A = \frac {14 * 8} {2}\\A = \frac {14 * 8} {2}\\A = 56 \ cm ^ 2[/tex]
Thus, the total area is the sum of the two areas:
[tex]146 \ cm ^ 2[/tex]
ANswer:
[tex]146 \ cm ^ 2[/tex]
If Johnny has twice more bottles of dish soap than Carolyn, and Carolyn has 20 more bottles of dish soap than Mr. White, how many bottles of dish soap does Johnny have if Mr. White has 35 bottles of dish soap?
Answer:
110
Step-by-step explanation:
Answer:
Jesus
Step-by-step explanation:
Why all this dish soap. Sounds like that vine.
For which triangle is the length of the hypotenuse an INTEGER?
B.
5 squared + 12 squared = x squared
5 squared = 25
12 squared = 144
144+25 = 169
Square root of 169 = 13
Hope this helps you!! ❤️❤️
Answer: B.
Step-by-step explanation:
In B, opp=5 adj = 12 hyp=x
Using pythagoras theorem
hyp² = opp² + adj²
x² = 5² +12²
x² = 25 + 144
x² = 169
x=√(69)
x=13
B is the only triangle with a hypotenuse whose length is interger.
Looking at A,
x² = 4² +2²
x= √(20) =4.47
x is not an interger
lets take c and see,
x² = 2² +5²
x = √(29) = 5.385, its also not an interger.
Now, we will take the last one and check
x² = 8² +14²
x=√260 = 16.12, it is not an interger
There B is the only triangle with an integer hypotenuse.
plz help 5 star reating and a thanks if someone help
Answer:
B - +4.
Step-by-step explanation:
The person does not get 4.5 yards.
1/4, -1/4, and -4 do not work as well because negative numbers express loss, and not gain, and the person does not get any fractions.
Answer:
I believe the answer is B. +4
Step-by-step explanation:
A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn. Find the probibility that.......
First find the probability of each color being drawn.
We need to find the total number of marbles first.
4 + 3 + 6 = 13
So everything will be over 13.
Probability of a white marble being drawn --> [tex]\frac{4}{13}[/tex]
Probability of a blue marble being drawn --> [tex]\frac{3}{13}[/tex]
Probability of a red marble being drawn --> [tex]\frac{6}{13}[/tex]
Now to find the probabilities of more than one being drawn, we can multiply.
Part a :
[tex]\frac{6}{13}*\frac{6}{13}=\frac{36}{169}[/tex]
Part b :
[tex]\frac{3}{13}*\frac{3}{13}=\frac{9}{169}[/tex]
Part c :
[tex]\frac{6}{13}*\frac{3}{13}=\frac{18}{169}[/tex]
Part d :
[tex]\frac{7}{13}*\frac{7}{13}=\frac{49}{169}[/tex]
Final answer:
The probability of drawing a marble of a specific color remains the same after each draw when a marble is replaced in the bag. For a bag of 13 marbles, the probability of drawing a blue marble twice in a row is 3/13 for each draw, assuming replacement after the first draw.
Explanation:
The question asks to calculate the probability of certain outcomes when drawing marbles from a bag with replacement. Considering a bag with a total of 13 marbles (4 white, 3 blue, and 6 red), the probability of drawing a marble of a specific color is calculated by dividing the number of marbles of that color by the total number of marbles in the bag. Since each marble is replaced after it is drawn, the probabilities for the second draw remain the same as the first.
For example, the probability of drawing a blue marble is 3 out of 13. If we replace the marble and draw again, the probability of drawing a blue marble for the second time is still 3 out of 13. The events are independent, and the probabilities do not change after each draw because of the replacement.
Using the properties of exponents and logarithms, find the value of x in 19+2 in x=25
Answer:
x = e³
Step-by-step explanation:
Using the property of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
19 + 2lnx = 25 ( subtract 19 from both sides )
2lnx = 6 ( divide both sides by 2 )
lnx = 3 [ note lnx = [tex]log_{e}[/tex] x ]
x = e³
Answer:
The correct answer is D 20.09
Step-by-step explanation:
if dy/dt=-10e^-t/2 and y(0)=20 what is the value of y(6)
ANSWER
[tex]y (6)= \frac{20}{ {e}^{3} } [/tex]
EXPLANATION
The given equation is:
[tex] \frac{dy}{dt} = - 10 {e}^{ - \frac{t}{2} } [/tex]
We integrate with respect to t to get,
[tex]y = 20 {e}^{ - \frac{t}{2} } + k[/tex]
The initial condition is y(0)=20
We apply the initial condition to get,
[tex]20= 20 {e}^{ - \frac{0}{2} } + k[/tex]
[tex]k = 0[/tex]
This implies that;
[tex]y = 20 {e}^{ - \frac{t}{2} } [/tex]
[tex]y (6)= 20 {e}^{ - \frac{6}{2} } [/tex]
[tex]y (6)= 20 {e}^{-3} [/tex]
Or
[tex]y (6)= \frac{20}{ {e}^{3} } [/tex]
The required solution is [tex]y(6) = 20e^{-3}[/tex]
IntegrationGiven the following differential equation [tex]dy/dt=-10e^{-t/2}[/tex]
To get the value of y, we will integrate the equation to have:
[tex]y=-20e^{-t/2} + k[/tex]
Given that y(0) = 20, hence;
[tex]20=-20e^{-0/2} + k\\ 20 = 20 + k\\ k = 0[/tex]
Hence the solution to the given integral is [tex]y=-20e^{-t/2} [/tex]
Next is to get y(6)
[tex]y(6)=-20e^{-6/2} \\ y(6) =20e^{-3}}[/tex]
Hence the required solution is [tex]y(6) = 20e^{-3}[/tex]
Learn more on differentiation here: https://brainly.com/question/25081524
witch expression is equivalent to 2.8k - 8.4?
A. 0.07 ( 4K -12 )
B. 0.7 ( 4K - 12)
C. 5.6K
D. -5.6K
The correct answer is B
We can simply solve to see if it is correct.
Apply the distributive property.
.7*4k-.7*12
2.8k-8.4
This matches the example given in the question.
Hope this helps!
Answer:
B
It can not be c or d because you can't combine unlike factors. It is not a because 0.07 * 4K is not 2.8K
When you use the distance Formula you are building a right triangle whose ____ connects two given points....
It’s C) , I believe..
Answer:
option C
Step-by-step explanation:
When we use the distance formula for two points ( x, y ) and ( x', y¹ )
Then formula is (distance)² = (x - x¹)² + (y - y¹)²
This is quite similar to the formula used in a right angle triangle to determine hypotenuse
(Hypotenuse)² = (base)²+(height)²
Therefore, option C is the answer.
Select all the statements that describe the expression 5 + 2x.
A The expression represents 5 plus 2 plus x.
» The expression represents 5 plus 2 times x.
» The expression represents 5 plus x plus x.
D The expression represents 5 plus x times x.
» The expression represents the sum of 5 and 2x.
F The expression represents the product of 5 and 2x.
Answer:
A
Step-by-step explanation:
The expression 5 + 2x typically means 5 plus 2 times x, or the sum of 5 and the product of 2 and x. Hence correct options are B and E.
The expression 5 + 2x can have multiple interpretations depending on the context, but most commonly, it represents the following:
The expression represents 5 plus 2 times x.
The expression represents 5 plus x plus x, which is another way of stating the distributive property of multiplication over addition.
The expression represents the sum of 5 and 2x, which can be thought of as adding the number 5 to the product of 2 and x.
It does not represent the product of 5 and 2x nor does it indicate additions of 5, 2, and x independently (without multiplication).
would someone help me with this problem
hey buddy how's it going?
What is equal to 5 - 1 3/10
Answer:
3 and 7/10
Step-by-step explanation:
Help please, thank you!
ANSWER
9 nickels 8 dimes
EXPLANATION
The simultaneous equations are:
1st equation: n+d=17
2nd equation: 0.05n+0.10d=1.25
Multiply through the second equation by 100.
This the equation:
3rd equation: 5n+10d=125
Make n the subject in equation (1).
n=17-d
Substitute this into equation (3)
5(17-d)+10d=125
85-5d+10d=125
-5d+10d=125-85
5d=40
Divide both sides by 5.
d=8
Put d=8 into n=17-d
This gives:
n=17-8
n=9
Answer:
8 dimes and 9 nickels
Step-by-step explanation:
In this exercise, we got a system of linear equations. We can solve this system by using several methods: substitution, reduction and equalization, and other advanced method call "Cramer's rule".
So, for this exercise we will use the substitution method.
1. Clear n for the first equation.
n + d = 17
n = 17 - d
2. Replace n in the second equation.
0.05n + 0.10d = 1.25
0.05(17 - d) + 0.10d = 1.25
0.85 - 0.05d + 0.10d = 1.25
0.85 + 0.05d = 1.25
3. We solve the obtained equation for d.
0.05d = 1.25 - 0.85
d = (1.25 - 0.85)/0.05
d = 0.40/0.05 = 8
dimes (d) = 8
4. we obtain the value of n using any of the two equations and with d = 8
Using the first equation
n + d = 17
n = 17 - d with d = 8
n = 17 - 8
n = 9
nickels (n) = 9
.
10 POINTS ARE AWARDED! :(
WILL GIVE BRAINLIEST FOR BEST EXPLANATIONS!
CAN SOMEONE PLEASE SHOW ME HOW TO SOLVE INDICES PROBLEMS AND SHOW ME SOLUTIONS TO SOME OF THEM? I REALLY AM STRUGGLING AT THESE INDICES PROBLEMS AND NEED HELP ASAP! ;-;
Answer:
Step-by-step explanation:
To solve indices problems you need to know the laws of indices.
The laws will guide you in answering any problem related to indices, these laws are for a ≠ 0
law 1
aᵇ * aⁿ = aᵇ⁺ⁿ
example 5³ * 5⁵ = 5³⁺⁵= 5⁸
law 2
aᵇ / aⁿ = aᵇ⁻ⁿ
example 7⁵/ 7³ = 7⁵⁻³ = 7²
law 3
(aᵇ)ⁿ = aᵇⁿ
example (5³)⁴ = 5³ * 5⁴ = 5¹²
law 4
a⁰ = 1
example 8⁰ = 1
law 5
a⁻ⁿ = 1/aⁿ
example 7⁻² = 1/7² = 1/49
law 6
a^¹/ₙ = ⁿ√a
example 27^¹/₃ = ∛27 = 3
law 7
a^ᵇ/ₙ = (ⁿ√a)ᵇ = ⁿ√aᵇ
example 8^²/₃ = (∛8)² = (2)² = 4
Jane entered her artworks in a state competition. Her art scores from 7 judges are listed. 9,9,8,7,9,6,8 what is Jane’s mean score? A.6 B.7 C. 8 D.9
Answer:
C!
Step-by-step explanation:
To find the the mean add all the numbers and divde by the number of numbers. The sum of all the numbers is 56. There are 7 numbers.
56/7 is 8.
B
Because I like the letter b so ha
Please help asap!!! Asap!!!!
Answer:
Step-by-step explanation:
I'll do them you arrange.
x + (x - 1) > 5
If you start with 3 you will see that the answer is that the left equals the right. So 4 is the smallest number x can have
3 + (3 - 1)>5
6 - 1 = 5 not something greater than 5
4 + (4 - 1) > 5
8 - 1 > 5
7 > 5 which is true.
Answer 4
5x - 3x > 9
2x > 9 x must equal 5
2*5 > 9
10 > 9
Answer 5
6x - 14 > 3 add 14 to both sides.
6x - 14+14>3+14
6x > 17 The answer to equality is just about 3. So three is the answer
6*3 > 17
18 > 17
Answer 3
2x - 1 > 0 Add 1 to both sides.
2x > 1 1 is the answer
2*1 > 1
2 > 1
Answer 1
So all you need do is place them in order. The last one goes first and then the second last one.
732,178 + 167 - 542,137
Answer:
190,208
Step-by-step explanation:
732,178 + 167 = 732,345
732,345 - 542,137 = 190,208
Question : 732,178 + 167 - 542,137
Answer : 190208
Step-by-step explanation :
732,178 + 167 = 732345
732345 - 542,137 = 190208
Hope this helps :)
Have a great day !
5INGH