Answer: 552 cubic meters
Step-by-step explanation: You want to find the volume. To do this, multiply each number with each other. 7 times 9 times 8 is 504 and 3 times 8 times 2 is 48. Then, add the two products. 504 plus 48 is 552.
5(x + 3) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
5x + 3
(5 + x) + 3
5x + 15
(x + 3) ⋅ 5
Answer:
5X+15
Step-by-step explanation:
you just have to multiply 5 and X and also multiply 3 by 5.
Answer:
[tex]\boxed{\bold{5x+15}}[/tex]
Step-by-step explanation:
Distributive Property: [tex]\bold{a(b+c)=(a*b)+(a*c)}[/tex]
Write An Equation:
(5 * x) + (5 * 3)
Solve:
5 * x = 5x
5 * 3 = 15
Rewrite Equation
5x + 15
David and Karen have a goal to read 10,000 pages together by the end of summer.
David reads 80 pages every day.
Karen reads 25% more pages every day than David reads.
David and Karen agree that the model 180d = 10,000 will tell them how many days it will take them to read 10,000 pages, together, by the end of summer.
They invite Rick to read with them to get to their goal faster. Rick reads 35% fewer pages per day than Karen.
Which equation can be used to find how many days it will take David, Karen, and Rick to read 10,000 pages, together, by the end of summer?
David reads 80 pages every day.
Karen reads 25% more pages every day than David reads.
So, Karen reads [tex]\frac{25}{100}*80= 20[/tex] more pages. She reads a total of 80 + 20 =100 pages.
Rick reads 35% fewer pages per day than Karen. So, Rick reads [tex]\frac{35}{100}*100=35[/tex] less pages than Karen. He reads 100 - 35 =65 pages
So, in total the tree friends read = 80+100+65=245 pages.
So, equation becomes [tex]245d=10000[/tex]
please help me!!!!!!!!!! 8oz= 1 cup
Answer:
Part A: 45
Part B: 22
Step-by-step explanation:
How many times can 20 go into 16
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is that 20 goes into 16 1.25 times.
Explanation: You can use a calculator, and you just divide 20 by 16. Or, you can divide 20 and 16 both by 4. since you are dividing by four, and there are 5 fours in 20, you could know that 5*0.25 is 1.25, which is the answer. The fraction form is 1 1/4.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
20 cannot go into 16 a whole number of times, but in terms of decimal division, 20 goes into 16 exactly 0.8 times.
The question asks how many times 20 can go into 16. In mathematical terms, this is asking for the result of dividing 16 by 20. Since 20 is larger than 16, 20 cannot go into 16 a whole number of times. However, if we are considering division in terms of fractions or decimals, 20 goes into 16 exactly 0.8 times because 16 divided by 20 equals 0.8.
A sports bag has 40 golf balls. Some are yellow and some are white.There are 7 white golf balls for every yellow golf ball. How many white golf balls are there in the bag.
Answer:
35 white balls.
Step-by-step explanation:
you need to multiply 7 * some constant c and do the same to 1. The total has to come out to 40
7*c + c = 40 Combine the terms on the left.
8c = 40 Divide by 8
8c/8 = 40/8
c = 5
So the balls are in the ratio of
5*7 + 5 = 40
Which equation graph passes through the points (5,6) and (0,3)
Answer:
A. y = 3/5 x + 3
Step-by-step explanation:
(5, 6) and (0,3)
slope = (6 - 3)/(5-0) = 3/5
and y-intercept b = 3
Equation
y = 3/5 x + 3
Answer:
A. y = 3/5 x + 3
Leon is helping his baby sister Daphne eat her dinner. There are 121212 peas left in Daphne's bowl and 777 peas squished in her hair.
What is the ratio of peas in Daphne's bowl to peas in her hair?
Answer:
777:121212 is peas in her hair to peas left in her hair.
Answer:
12:7
Step-by-step explanation:
i had it on khan academy
Which statement below best describes the properties of liquids? A. Liquids have both a definite shape and a definite volume. B. Liquids have a definite volume but no definite shape. C. Liquids have a definite shape but no definite volume. D. Liquids have no definite shape or volume.
A.
A liquid can take the shape of its container
The bases of a trapezoid are 4 yards and 6 yards. The height of the trapezoid is 5 yards. What is the area of the trapezoid?
Final answer:
The area of a trapezoid with bases of 4 yards and 6 yards, and a height of 5 yards is calculated using the formula (1/2)*height*(sum of the bases). By substituting the given measurements, the area comes out to be 25 square yards.
Explanation:
The area of a trapezoid can be calculated using the formula: Area = ½×(height)×(sum of the bases). Given the measurements of a trapezoid with bases of 4 yards and 6 yards, and a height of 5 yards, we apply the formula:
Area = ½×(5 yards)×(4 yards + 6 yards)
First, sum the lengths of the bases:
4 yards + 6 yards = 10 yards
Then, substitute the sum of the bases and the height into the formula:
Area = ½×(5 yards)×(10 yards)
Area = ½×(50 yards²)
Area = 25 yards²
Therefore, the area of the trapezoid is 25 square yards.
An old house has a basement stairway that has steps with 7.25 inch vertical risers and 10 inch horizontal treads. What is the slope of the stairway? Round to two decimal places.
Answer:
Final answer is slope = 0.73
Step-by-step explanation:
Given that an old house has a basement stairway.
Stairway has steps with 7.25 inch vertical risers and 10 inch horizontal treads. Now we need to find about what is the slope of the stairway. Also round the answer to two decimal places.
[tex]slope=\frac{rise}{run}=\frac{7.25}{10}=0.725[/tex]
Now round that value to two decimal places gives 0.73
Hence final answer is slope = 0.73
Which system will have an infinite number of solutions?
A.
–4y = –6x + 8
B.
–4x + 5y = 8
5y = –4x + 6
C.
–2x + 4y = 3
D.
2x – 6y = 9
5y = –4x + 6
Answer:
do you still need an answer
Karim builds a wooden table.
A system of 3 linear equations in 3 variables is consistent and independent. How many solutions to the system exist
Answer:
One solution
Step-by-step explanation:
By definition:
A system of linear equations is classified according to the number of solutions such as:
* Consistent: If the system has at least one solution.
* Inconsistent: If the system has no solution
Then, the systems of consistent linear equations are classified as:
* Independent: If the system has only one solution
* Dependents: If the system has endless solutions.
Thus. A consistent and independent system of equations has only one solution
a circualr plate haa circumference 22.6 inches.What is the area if this plate? use 3.14
40.7in^2
Circumference = 2pi*r
22.6 = 2*3.14*r
22.6 = 6.28*r
r = ~3.6
Using that we can find area
A = pi*r^2
A = 3.14*3.6^2
A = 3.14*12.96
A = 40.6944 which is ~40.7in^2
The area of the circular plate with a circumference of 22.6 inches is 40.69 in².
How to find the area of a circle?The area of a circle can be found by using the formula given below:
Area = πr²
The area of the circle can be found as given below:The circumference is given as 22.6. Therefore:
Circumference = 2πr
⇒ 22.6 inches = 2πr
⇒ 22.6 inches = 2*3.14*r
⇒ r = 22.6/(2*3.14) inches
⇒ r = 3.6 inches
We can use this r to find the area. The area of a circle is given by:
A = πr²
= 3.14*3.6*3.6 in²
= 40.69 in²
Therefore we have found the area of the circular plate with a circumference of 22.6 inches to be 40.69 in².
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A pie is cut into 9 equal pieces. If all but 3 pieces are eaten, how of the pie remains?
Answer:
1/3 or 3
Step-by-step explanation:
9-6 = 3
Answer:
Step-by-step explanation:
My sister’s birthday is in a few weeks and I would like to buy her a new vase to keep fresh flowers in her house. She often forgets to water her flowers and needs a vase that holds a lot of water. In a catalog, there are three vases available and I want to purchase the one that holds the most water. The first vase is a cylinder with diameter 10 cm and height 40 cm. The second vase is a cone with base diameter 16 cm and height 45 cm. The third vase is a sphere with a diameter of 18 cm.
1. Find the volume for each vase.
2. Which vase should I purchase?
3. How much more water does the largest vase hold than the smallest vase?
4. Suppose the diameter of each vase decreases by 2 cm. Which vase would hold the most water?
Answer:
1. 392, 20.83, 4/3
2. 16 cm and 45 cm cone
3. 0.9 Fl oz
4. the cone still
Step-by-step explanation:
The volume of each vase can be determine by using volume formula of sphere, cone and cylinder.
(1) The volume of sphere is [tex]972\pi[/tex], volume of cone is [tex]960\pi[/tex] and volume of cylinder is [tex]1000\pi[/tex].
(2) You should purchase the cylinder vase.
(3) The largest vase hold [tex]40 \pi \:{\rm cm}^3[/tex] more than smallest vase.
(4) If the diameter decreases by 2 cm, then cone holds more water.
Given:
Diameter of cylinder is [tex]d=10 \:\rm cm[/tex].
Height of cylinder is [tex]h=40\:\rm cm[/tex].
Diameter of cone is [tex]d=16 \:\rm cm[/tex].
Height of cylinder is [tex]h=45\:\rm cm[/tex].
Diameter of sphere is [tex]d=45 \:\rm cm[/tex].
(1)
Calculate the volume of cylinder.
[tex]\begin{aligned}\mbox{Cylinder Volume} &= \pi r^2 h\\& = \pi(5)^2(40) \text{ cm}^3\\&= 1000 \pi \text{ cm}^3.\end{align}[/tex]
Calculate the volume of Cone.
[tex]\begin{aligned}\mbox{Cone Volume} &= \frac13 \pi r^2 h\\&= \frac13 \pi(8)^2(45) \text{ cm}^3\\&= 960 \pi \text{ cm}^3.\end{align}[/tex]
Calculate the volume of sphere.
[tex]\begin{aligned}\mbox{Sphere Volume} &= \frac43 \pi r^3\\&= \frac43 \pi (9)^3 \text{ cm}^3\\&= 972 \pi \text{ cm}^3.\end{align}[/tex]
(2)
Since the volume of cylinder is higher than the volume of sphere and cone. So, you should purchase cylinder vase.
(3)
The largest vase hold water more than the smallest vase is,
[tex]\text{Cylinder Volume} - \text{Cone Volume} = 1000 \pi \text{ cm}^3 - 960 \pi \text{ cm}^3 = 40 \pi \text{ cm}^3[/tex]
(4)
As per the question if diameter of each vase decreases by 2 cm then radius decreases by 1 cm.
Calculate the volume of cylinder.
[tex]\begin{aligned}\mbox{Cylinder Volume} &= \pi r^2 h\\&= \pi(4)^2(40) \text{ cm}^3\\&= 640 \pi \text{ cm}^3.\end{align}[/tex]
Calculate the volume of Cone.
[tex]\begin{aligned}\mbox{Cone Volume}&= \frac13 \pi r^2 h\\&= \frac13 \pi(7)^2(45) \text{ cm}^3\\&= 735 \pi \text{ cm}^3.\end{align}[/tex]
Calculate the volume of sphere.
[tex]\begin{aligned}\mbox{Sphere volume} &= \frac43 \pi r^3\\&= \frac43 \pi (8)^3 \text{ cm}^3\\&= 682 \frac23 \pi \text{ cm}^3.\end{align}[/tex]
Since the volume of cone is more the sphere and cylinder. So cone hold most water.
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Which list is in order from largest to smallest?
A.
0.6 × 10-4 , 1.1 × 10-3 , 1.1 × 10-4
B.
1.1 × 10-3 , 1.1 × 10-4 , 0.6 × 10-4
C.
1.1 × 10-3 , 0.6 × 10-4 , 1.1 × 10-4
D.
0.6 × 10-4 , 1.1 × 10-4 , 1.1 × 10-3
A= 3.6, 7.7, 6.6
B= 7.7, 6.6, 3.6
C= 7.7, 3.6, 6.6
D= 3.6, 6.6, 7.7
.•. B is the answer
*if not done by BODMAS
A= 2, 8, 7
B= 8, 7, 2
C= 8, 2, 7
D= 2, 7, 8
.•. B is the answer
*if done by BODMAS
hope it helps you mate thanks for the question and if possible please mark it as brainliest
I need help with this
for a triangular prism, its volume will simply be area of its base times its length.
the are of the base for this one is simply any of those triangular bases. Now, let's notice, the right-triangle has a base of 9 and a height o 9, notice the tickmarks, whilst the prism also has a length of 13.
[tex]\bf \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(9)(9)}~~\cdot~~ \stackrel{\textit{length}}{(13)}\implies 9\cdot 13\implies 117[/tex]
ari made a fruit salad with 1/2 cup of blueberries, 3/8 cup strawberries, and 3/4 cup raspberries. how many total cups of fruit salad did ari make?
Ari made 1 and 5/8 total cups of fruit salad
There are 3 ways you can prove triangles similar without having to use all sides and angles?
You can tell if they're similar if they:
1) Have two of the same angles
2) If two pairs of corresponding angles in a pair of triangles are congruent.
3) If they are the same shape
“The height of an arrow” NEED HELP WITH THIS QUESTION ASAP!
Answer:
a) t = 0.54 seconds
b) t = 8 seconds
Step-by-step explanation:
Given in the question the equation
h = 40t - 5t²
where h is height in meters
t is time in seconds
Time it took to reach 20 meters
20 = 40t - 5t²
-5t² + 40t - 20 = 0
by using quadratic formula for factorisation
t = (-b± √(b)² - 4(a)(c) ) / 2(a)t = 0.54 (upward motion)
or
t = 7.46 (downward motion)
b) Time it took to reach the ground
at ground h = 0
So,
0 = 40t - 5t²
t(40 - 5t ) = 0
t = 0 (at starting point)
or
40 -5t = 0
5t = 40
t = 40 /5
t = 8 seconds
How do you find the area of a triangle?
with it's formula
Area of Triangle = (1/2)(ab)sin(C) – This formula is used when two sides and the angle in between them are known. It can be obtained from the basic formula, Area of Triangle = 0.5 × base × height. The height with respect to side 'a' can be written in as b×sin(C), where C is the angle between a and b.
What is the following sum? 4(5√x^2 y) +3(5√x^2 y) help meeee
4(5√x^2y)+3(5√x^2y)=7(5√x^2y)
A bus route is 57 minutes long. A student is taking a trip on the bus for 2 3 the total route length. The student must also walk 10 minutes to get to the bus and 10 minutes from the bus to his destination. How long is the student’s total trip? A) 38 minutes B) 57 minutes C) 58 minutes D) 106 minutes
Answer:
its c i did the question
Step-by-step explanation:
The total time for the student's total trip is A = 58 minutes
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is = total time for the trip
Substituting the values in the equation , we get
The total length of the bus route is 57 minutes. The student is taking a trip for 2/3 of the total route length, which is (2/3) x 57 = 38 minutes
In addition to the time on the bus, the student must also walk 10 minutes to get to the bus and 10 minutes from the bus to his destination.
Therefore, the total time for the student's trip is:
38 minutes (on the bus) + 10 minutes (walking to the bus) + 10 minutes (walking from the bus) = 58 minutes
Hence , the time for student's trip is A = 58 minutes
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0.5 as hundredths in fraction form and decimal form
Answer:
5/100, .05
Step-by-step explanation:
The decimal form remains 0.5, but when expressed with a denominator of 100, it becomes 50.0%.
To express 0.5 as hundredths in fraction form, you convert the decimal to a fraction with a denominator of 100. Since 0.5 is equivalent to 50%, you would write this as 50/100. This fraction can also be simplified to 1/2 by dividing both the numerator and the denominator by 50.
In decimal form, 0.5 is already represented as a decimal and does not require conversion. However, if we are to express it with a denominator of 100, we simply move the decimal point two places to the right (multiplying by 100), yielding 50.00, which can then be represented as 50.0% when expressing as a percent.
Find the coordinates of the vertices of the figure after the given transformation. translation: (x, y)→(x + 1, y - 1) A) N'(0, -2), F'(4, 2), Q'(4, -2) B) N'(-1, 1), F'(3, -3), Q'(3, 1) C) N'(0, -1), F'(4, 3), Q'(4, -1) D) N'(0, -5), F'(4, -1), Q'(4, -5)
Answer:a
Step-by-step explanation:
The coordinate of the vertices after transformation N'= (0, -2), F'= (4, 2), and Q'= (4, -2) option (A) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The coordinates are:
N(-1,-1), F(3,3), Q(3,-1).
Transformation rule:
(x,y) → (x+1, y-1)
N'= (0,-2)
F'= (4,2)
Q'= (4,'2)
Thus, the coordinate of the vertices after transformation N'= (0, -2), F'= (4, 2), and Q'= (4, -2) option (A) is correct.
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Coach told us we needed to complete more that 18 repetitions. What’s the inequality?
Answer:
x > 18
Step-by-step explanation:
If you need to complete more than 18 repetitions, you would use the greater than sign.
There are 20 tables in the cafeteria. 1/5 of them are rectangle shaped. How many tables are rectangle shaped?
4 because 4x5=20 and 20 divided by 5 is 4
Answer:
4
20 ÷1/5= 4
So four tables
Can you guys please help me out
a. term
because signing a policy would mean signing a term agreement paper..
hope this helps!!
Greta is making a patio
Answer:
Step-by-step explanation:
Can you give more information?