Answer:
r = 8 inches
Step-by-step explanation:
[tex]\frac{1}{3}\pi r^{2}h=1004.8\\\\\frac{1}{3}*3.14*r^{2}*15=1004.8\\\\3.14*r^{2}*5=1004.8\\\\r^{2}=\frac{1004.8}{3.14*5}\\\\r^{2}=64\\\\r=\sqrt{64}\\\\ r=8[/tex]
Find two numbers that multiply to -36 and add to 9.
Answer:
-3 and 12 are the answer
Step-by-step explanation:
-3 times 12 is - 36 and
-3 plus 12 is 9
Hope this helps ;)
The two unknown numbers are x=-3 and y=12.
Let the two unknown numbers be x and y.
Two numbers that multiply to -36 and add to 9.
xy=-36 -------(i)
x+y=9 -------(ii)
x=9-y -------(iii)
Substitute x=9-y in equation (i), we get
(9-y)y=-36
9y-y²=-36
y²-9y-36=0
y²-12y+3y-36=0
y(y-12)+3(y-12)=0
(y-12)(y+3)=0
y-12=0
y=12
Substitute y=12 in equation (ii), we get
x=-3
Therefore, the two unknown numbers are x=-3 and y=12.
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30 points!!!
i’m looking at number 5 right now. i don’t know what -2x means. can someone show me an example of how you do it
-2x means -2*x or "-2 times x" where x is a placeholder for any number you want.
To graph y = -2x, you just need two points. Each point is of the form (x,y)
Let's plug in zero as it is often the easiest to work with.
If x = 0, then -2*x = -2*0 = 0. Notice how I replaced x with 0 and simplified.
Therefore, if x = 0, then y = 0. We have (x,y) = (0,0) as one point on this line. I have marked it as point A in the graph.
Point B is (1, -2) and it is found by plugging x = 1 into the equation to get...
y = -2x
y = -2*1
y = -2
You could find other points, but two points is enough to draw a straight line through them. The slope of this line is -2 = -2/1. The y intercept is 0.
Angela paints a wall that has an area of 42 2/3 square yards.
She uses 1 1/3 gallons of paint.
Part A
What is Angela’s rate of paint coverage in square yards per gallon?
________ square yards per gallon.
Part B
The label on the paint container states that its average coverage rate is 275 square feet per gallon.
What is the difference in square feet per gallon between Angela’s rate of paint coverage and the average rate indicated on the label on the container?
(Note: 1 square yard = 9 square feet )
______________square feet per gallon difference.
Answer:
Part A: 32 square yards per gallon
Part B: 13 square feet per gallon difference
Step-by-step explanation:
Part A:
To find how many square yards each gallon covers, you have to divide 42 2/3 by 1 1/3, which equals 32. That means each gallon of paint covers 32 square yards.
Part B:
First, you have to convert how much Angela covered in square yards to square feet. Since one square yard is equal to 9 square feet, we have to multiply 32 by 9, which equals 288. To find the difference, you have to subtract 288 - 275, which equals 13.
Final answer:
Angela's rate of paint coverage in square yards per gallon is 32, and the difference in square feet per gallon between Angela’s rate and the average rate on the paint label is 13 square feet per gallon.
Explanation:
Part A: Calculating Paint Coverage
To find Angela’s rate of paint coverage in square yards per gallon, we would divide the total area painted by the amount of paint used. We have 42 2/3 square yards painted using 1 1/3 gallons of paint. First, it's easier to work with improper fractions, so we convert 42 2/3 to (126/3 + 2/3) = 128/3 square yards, and 1 1/3 to (3/3 + 1/3) = 4/3 gallons. Now, we calculate the rate by dividing the square yards by the gallons:
Rate = (128/3) / (4/3) = (128/3) × (3/4) = 128/4 = 32 square yards per gallon.
Part B: Difference in Square Feet per Gallon
To find the difference in square feet per gallon, we need to compare Angela's rate to the average rate given on the label. Angela's rate is 32 square yards per gallon, and there are 9 square feet in a square yard. So, Angela's rate in square feet would be 32 × 9 = 288 square feet per gallon. The label states an average coverage rate of 275 square feet per gallon. Thus, the difference is:
Difference = Angela’s rate - Label’s rate = 288 - 275 = 13 square feet per gallon difference.
isolate for x, y = mx + b
Answer:
x = (y - b)/m
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First subtract b from both sides:
y = mx + b
y (-b) = mx + b (-b)
y - b = mx
Next, divide m from both sides:
(y - b)/m = (mx)/m
x = (y - b)/m
x = (y - b)/m is your answer.
~
The price of a green couch was $800. It
is now on sale for $540. What is the
percent change in the cost of the
Couch
Answer:
32.5% off
Step-by-step explanation:
Help meeee please! This is so confusing
Answer:
9 3/4 . . . . (for the numbers shown)
Step-by-step explanation:
Each number in the table is the product of the number in the left margin and the number in the top margin:
9 = 3·3
3/4 = 3·1/4
The total of these numbers in the table is the Area value being asked for.
9 + 3/4 = 9 3/4
_____
If there is more to the question that isn't shown, you will need to add those partial products to the total, too. We presume you know how to add fractions and mixed numbers.
If a car company makes a car with the option of 4 exterior colors, 3 interior colors, and 2 engines, how can the multiplication principle help us determine the total number of different variations of the car?
There are a total of 24 different combinations of exterior color, interior color, and engine that the car company can offer.
What is the multiplication principle?The multiplication principle states that if there are a number of choices for one aspect of a problem, and a number of choices for another aspect of the problem, and the choices for each aspect are mutually exclusive (i.e., they do not overlap), then the total number of choices is the product of the number of choices for each aspect.
As per the question, there are 4 choices for the exterior color of the car, 3 choices for the interior color of the car, and 2 choices for the engine of the car.
Using the multiplication principle, we can determine that the total number of different variations of the car is :
4 x 3 x 2 = 24.
This means that the car company may provide a total of 24 distinct exterior colors, interior colors, and engine combinations.
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Using the multiplication principle, by simply multiplying together the number of options for each feature (4 exterior colors, 3 interior colors, 2 engines), we find that there are 24 possible variations of the car that the company can make.
Explanation:The multiplication principle in mathematics is a tool used in combinatorics that suggests that if you have multiple groups of items, and you want to know how many different combinations there are of one item from each group, you can simply multiply the amount of items in each group. In the context of your car company question, with 4 exterior colors, 3 interior colors, and 2 types of engines, the multiplication principle suggests you can calculate the total combinations by multiplying these numbers together. So, you would have:
4 (exterior colors) * 3 (interior colors) * 2 (engine types) = 24 total variations
Therefore, according to the multiplication principle, there would be 24 different variations of the car the company could produce.
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Can you help me work out the circumference of this circle? If so, give your answer in terms of Pi
The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.
Explanation:The circumference of a circle can be found using the formula C = 2πr, where C represents the circumference and r is the radius of the circle.
For example, if the radius of the circle is 5cm, the circumference would be C = 2π(5) = 10π cm. It is important to note that the circumference is always given in terms of π, which represents the mathematical constant.
Therefore, the circumference of a circle can be calculated by multiplying the radius by 2π.
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the data is the number of text messages you send a day. find the mean, median, and mode of the data.
10, 12, 20, 8, 6, 18
please help!!!
Answer:
6, 8, 10, 12, 18, 20
Mean: 6 + 8 + 10 + 12 + 18 + 20 = 74/6 = 12.3
Median: 11
Mode: there are no mode in the following listed numbers or data set.
~hope this helps~
would highly appreciate it if you would mark me the brainliest
HELP!!!! PLEASE!!!! ASAP!!!
Answer:
[tex]v=3[/tex]
Step-by-step explanation:
[tex]-2v+2=-7v+17[/tex]
[tex]-2v+2-2=-7v+17-2\\-2v=-7v+15\\-2v+7v=-7v+15+7v\\5v=15\\v=3[/tex]
Easy Question, Easy points
Topic: Volume
Answer:
(a) 55080 m³
(b) 1312 truckloads
(c) 11 days
Step-by-step explanation:
(a) We have a rectangular prism with the dimensions 12 by 85 by 54, so the volume is just the product of these numbers:
V = 12 * 85 * 54 = 55080 m³
(b) The truck can hold 42 m³ of earth, so divide 55080 by 42 to get the number of truckloads required:
55080 / 42 = 1311.4
Since we will still need a truckload to hold that little bit of earth that involves 0.4 of a truck, we round up to 1312 truckloads.
(c) In one day, 4 trucks work for 6 hours and since each truck can remove 42 m³ with 5 loads per hour, we have:
42 * 5 * 6 * 4 = 5040 m³ earth removed a day
Divide 55080 by 5040 to get the number of days:
55080 / 5040 = 10.9 ≈ 11 days
Part A:
The volume can be found by multiplying all the dimensions of the earth being evacuated.
12 * 85 * 54 = 55,080m³
Part B:
Divide the number of capacity that each truck carries of earth.
55,080 / 42 = 1,311.4285
I would assume we round up since that little bit that's left over is another load.
So, 1,311.4285 → 1,312 truckloads
Part C:
4 trucks work non-stop for a 6 hour day, each truck can transport 5 loads per hour, and each truck can carry 42m³ of earth. We can multiply all these numbers and divide by the total earth capacity.
42 * 6 * 5 * 4 = 5,040
55,080 / 5,040 = 10.9285...
Round up.
10.9285... → 11 days
Best of Luck!
P varies inversely with x. if p=7 when x=8, find the value of P when x=7
9514 1404 393
Answer:
P = 8
Step-by-step explanation:
The "varies inversely" relation can be expressed by the equation ...
P = k/x
For the given values, we can find k to be ...
k = Px = (7)(8) = 56
Then for the new value of x, we have ...
P = 56/x = 56/7
P = 8
Final answer:
P varies inversely with x and given P=7 when x=8, the constant of variation k is determined to be 56. Using this constant, the value of P when x=7 is calculated to be 8.
Explanation:
The student's question relates to the concept of inverse variation in mathematics. The relationship between two variables is described as inversely proportional if their product is constant. In the given scenario, P varies inversely with x and the student provided a specific condition where P = 7 when x = 8. Therefore, using the constant of variation k, the equation can be written as P = k/x. To find the constant of variation, we use the provided values:
7 = k/8k = 7 times 8k = 56Now with the constant k found, to calculate the value of P when x = 7, we set up the equation:
P = 56/7P = 8Therefore, the value of P when x = 7 is 8.
3. Kathy is planning a party. She decides to serve pizza to her guests and estimates that she
will need 12 pizzas with 8 slices each. If each person eats & pieces, how many people can she serve?
Answer:
96
Step-by-step explanation:
12x8=96
Answer:
15 people
Step-by-step explanation:
if each person eats 8 pieces of pizza, 12 people can be served because 8 slices are in 1 pizza and he ordered 12 pizzas.
A package of 4 pairs of insulated gloves costs $28.76. What is the unit price of the pairs of gloves?
The unit price is $per pair of gloves.
Answer: $7.19
Step-by-step explanation:
28.76/4=7.19
1% of 800 is......
And 2% of 800 is....
Answer:
1% of 800 is 8, while 2% of 800 is 16
Step-by-step explanation:
Please mark brainliest :)
Answer:
1% of 800 is 8
2% of 800 is 16
Step-by-step explanation:
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
y=−4x−3
y=−2x+1
Answer:
X = -2
Y = 5
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
A box is partially filled with books. If 24 cubic inches of the box are already filled and there are 12 cubic inches of space left, what is the total volume of the box (in cubic inches)?
Answer:
The box has a total volume of 36 cubic inches.
Step-by-step explanation:
The total volume of the box is given by the volume that is filled with books plus the volume that doesn't have any books in it. Therefore, in order to solve this problem we must sum the two volumes. We have:
total volume = volume with books + volume without books
total volume = 24 + 12
total volume = 36 cubic inches
The box has a total volume of 36 cubic inches.
Which of these equations have no solution? Check all that apply.
2(x + 2) + 2 = 2(x + 3) + 1
2x + 3(x + 5) = 5(x-3)
4(x + 3) = x + 12
4 - (2x + 5) = { 14x - 2)
5(x + 4) - x = 4(x + 5) – 1
Answer:
1,2,5
Step-by-step explanation:
Answer:
1,2,5
Step-by-step explanation:
Workout this equation
X(x+2)(x+4)
Answer:
x^3 <-- exponent, x to the power of three
Explanation:
x(x+2)(x+4)
=(x(x+2))(x+4)
=(x(x+2))(x)+(x(x+2))(4)
=x^3+2x^2+4x^2+8x
=x^3+6x^2+8x
Step-by-step explanation:
x(x+2)(x+4)
first get rid of the bracket
x square +2x+x+4
x^2 + 3x + 4
5. Caroline and Grant are building sandcastles in
the annual Coney Island Sand Sculpting Contest
The diagram below represents their final products
a. Which sandcastle has the greatest volume?
Answer:
The sandcastle B has the greatest volume
Step-by-step explanation:
The volume of a pyramid is given by the following formula:
V = (1/3) * A * h
Where A is the base area and h is the height.
Now we can calculate the volume of both pyramids:
V1 = (1/3) * 30 * 6 = 60 in3
V2 = (1/3) * 24 * 8 = 64 in3
So the volume of the pyramid B is bigger than the volume of the pyramid A.
Is x+x+x+x=4x true or false
Step-by-step explanation:
X + x + x + x = 4x
4x = 4x
It is true
What is the length of the missing side
Answer:
a=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +15^2 = 17^2
a^2 +225 = 289
Subtract 225 from each side
a^2 +225-225=289-225
a^2 = 64
Take the square root of each side
sqrt(a^2) = sqrt(64)
a = 8
Answer:
8
Step-by-step explanation:
Using the Pythagorean theorem, you can find that the missing side length is [tex]\sqrt{17^2-15^2}=8[/tex] units. Hope this helps!
The volume of a square pyramid is 15 cubic centimeters. If the height of the pyramid is 5 cm, what is the length of the base edge?
Answer:
The length of the base edge is 3 cm
Step-by-step explanation:
Volume of square pyramid =[tex]\frac{1}{3}BH[/tex]
Where B = area of square base
H = Height
Let the length of base edge be x
Area of base = [tex]Side^2 = x^2[/tex]
Height of pyramid = 5 cm
So,Volume of square pyramid =[tex]\frac{1}{3}BH=\frac{1}{3} \times x^2 \times 5[/tex]
We are given that The volume of a square pyramid is 15 cubic centimeters.
So,[tex]\frac{1}{3} \times x^2 \times 5=15[/tex]
[tex]x^2 = \frac{15 \times 3}{5}[/tex]
[tex]x=\sqrt[2]{\frac{15 \times 3}{5}}[/tex]
x=3
Hence the length of the base edge is 3 cm
Jordan is using centimeter cubes to build a model. She makes a rectangular prism that is 25 cubes long, 6 cubes tall, and 16 cubes wide. What is the volume of Jordan's model?
Answer:
2,400 cm3
Step-by-step explanation:
If the dimensions of the rectangular prism are 25 cubes, 6 cubes and 16 cubes, and each cube has 1 centimeters, the dimensions in centimeters are:
25 cm, 6 cm and 16 cm.
Then, to find the volume of the rectangular prism, we just need to multiply all three dimensions:
Volume = 25 * 6 * 16 = 2,400 cm3.
Test
How many different committees with 4 members can be formed from a group of 9 students? (Order is not important.)
Answer:
Using the combination formula, the number of different committees with 4 members that can be formed from a group of 9 students and order is not important, would be: 9C4 = 126
Hope this helps!
:)
Which point has the coordinates (−1.5, −4)?
Answer:
Point D
Step-by-step explanation:
Which expression has a negative value ?
A. -12 x (-8)
B. -72 divided by (-9)
C. -11 x 6
D. -14 + 24
Answer:
C. -11 x 6
Step-by-step explanation:
When you multiply a negative number with a positive, your answer will always be negative. In this case:
-11 x 6 = -66.
~
Answer:
C. -11 × 6
Step-by-step explanation:
A. -12×(-8) =96
B. -72÷(-9) =8
C. -11×6 =-66
D. -14+24=10
Only option C gives a negative answer.
can someone plss help me (middle school 7th grade) I dont this
Answer:
what is it over?
Step-by-step explanation:
you have to be more specific
The sum of two numbers is 90. The larger
number is 14 more than 3 times the smaller
number. Find the numbers.
First complete the equations below, where x stands for
the larger number and y stands for the smaller number
x + y = [?]; x = [ ] + [ ]y
Answer:
x= 71, y= 19.
Step-by-step explanation:
To solve this, we will need to set up an algebraic equation. Since y is the smaller number, we can think of x in terms of y:
x= 3y+14
We can substitute this in the equation to get:
90= y+3y+14.
Simplifying this will give us:
76= 4y.
When solved, we get the value of y (the smaller number) to be 19.
To solve for x, we must plug this into the equation giving us:
x= 3(19)+14
x= 71.
Answer: x+y=90;x=14+3y
71, 19
Step-by-step explanation:
#2 Find the slope given the points (6,-12) and (15,-3)*
Greetings :)
To find slope of two points we will need to use this equation: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]x^1[/tex] [tex]x^2[/tex] [tex]y^1[/tex] [tex]y^2[/tex]
( 6 , -12 ) ( 15 , -3 )
Now let's replace the equation with the numbers. (it will be a fraction).
[tex]\frac{-3-(-12)}{15-12}[/tex] = [tex]\frac{9}{9}[/tex]
The equation equals 9 over 9, which also equals 1.
The slope of the line is 1.