Answer:
An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.
See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?
July 10 book Science up55 down8
AA BB
CC DD
Step-by-step explanation:
2. Which do you think would knock down more pins, a bowling ball moving 10 meters per second or a bowling
ball moving 10 centimeters per second?
Answer:
I think the 10 meters
Step-by-step explanation: because meters are bigger!!
you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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3x – 8y > 32
what the answer
Answer:
y < 3/8x-4
Step-by-step explanation:
The perimeter of a rectangle is 52 inches, and the area is 160 square inches. Find the length and width of the rectangle.
Answer:16x16
Step-by-step explanation:
a company has decreased the weight of its boxes of macaroni by 8 %. if the new weight of the box is 13.1ounces, what was the original weight of the box?
Answer:
실례합니다 ?
Step-by-step explanation:
이것이 무엇을 의미하는 질문입니까?
회사는 마카로니 상자의 무게를 8% 줄였습니다. 상자의 새 무게가 13.1온스인 경우 상자의 원래 무게는 얼마였습니까? 오른쪽 ?
Answer:
x*0.92 = 13.1
x = 14.24
Step-by-step explanation:
What are the intercept(s) of f(x) = x2?
Answer:
x intercept: (0,0)
Step-by-step explanation:
y intercept: (0,0)
use the intermediate value theorem to prove that any continuous function with domain [0, 1] and range a subset of [0, 1] must have a fixed point.
Using the intermediate value theorem the statement "that any continuous function with domain [0, 1] and range a subset of [0, 1] must have a fixed point" is proved by the following steps.
The intermediate value theorem states that if a function f(x) is continuous on an interval [a, b], and y is any value between f(a) and f(b), then there exists a value c in the interval (a, b) such that f(c) = y.
In the case of a continuous function f(x) with domain [0, 1] and range a subset of [0, 1], let y = f(c). Then f(c) must be equal to c because c is between f(0) and f(1), and both f(0) and f(1) are between 0 and 1.
Since f(c) = c, c is a fixed point of the function f(x). Thus, any continuous function with domain [0, 1] and range a subset of [0, 1] must have at least one fixed point by the intermediate value theorem.
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An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2 : Suppose a sample of 563 tankers is drawn. Of these ships, 445 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places.
The proportion of oil tankers that had spills is:
1 - (445/563) = 0.208
Rounded to three decimal places, the answer is 0.208. Alternatively, this can be expressed as the fraction 52/253.
The difference between the mean is _____ times the value of the MAD of each data set.
Fill in the blank.
Write a word problem about adding integers with the same sign. *
Peter weighs 156 pounds, but he would like to wrestle in a lower weight class.He loses 4 pounds one week, gains back 2 pounds the next, loses 5 pounds the third week and loses 3 pounds the fourth week.How much does
Peter weigh now?
10
If a translation of (x, y) - (x + 6, y - 10) is applied to
figure ABCD, what are the coordinates of D'?
O (-5,-2)
O (1, -12)
O (4, -15)
0 (-9, 6)
17
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Mark this dretum
Answer:
without seeing the original D coordinates, I can't give an answer.
But if you take the original D coordinates and add 6 to the x value, then subtract 10 from the y value, you'll have the answer
Step-by-step explanation:
Which is equivalent to x(-14x + 9)? A) -28x + 9 B) -14x2 + 9 C) -14x2 + 9x D) -28x2 + 9x
Answer:
By distributive property, we get
a (b + c) = ab + ac\( \longmapsto x( - 14x + 9) \\ = \boxed{ - 14 {x}^{2} + 9x}✓\)
C) -14x² + 9x is the right answer.solve the system of equations y = 2x - 5; y = -2x + 3
Answer:
Solving gives us the result, x = 2, y = -1
Step-by-step explanation:
The system of equations is,
y = 2x-5
y=-2x+3
equating the two equations, we get,
(since y = y)
\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)
and then since y = 2x-5
\(y=2(2)-5\\y=-1\)
so, x =2, y = -1
there are 877 students taking College Algebra or Calculus. There are 478 students taking College Algebra, 428 students taking Calculus, and 29 students taking both College Algebra and Calculus. How many students are taking College Algebra, but not Calculus?
Given f(2) = 2x – 3, find f(1).
The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed?
The number of cards left to be signed is 32 cards.
To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.
Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:
75 - 30 = 45 cards.
Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.
After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:
45 - 5 = 40 cards.
Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.
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Please help ASAP math question
The compound amount after 3 years is $2275.22.
In this case, you are given:
Principle = $2,000
rate = 0.0353
time = 3
You need to find A, the compound amount after 3 years.
To do this, you need to plug in the values of P, r and t into the formula and use a calculator:
A=P×e^rt
A=2000×(e)^0.0353×3
A≈2275.22
Therefore, by the compound interest the answer will be $2275.22.
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Julissa had a coupon for a 15% discount off the regular price of a pair of shoes at a shoe store. The regular price of the shoes she bought was 38.95. What was the discounted price of the shoes, not including the tax?
Answer: $33.18
Step-by-step explanation:
First, we will find what percentage of the original price of the shoes will be purchased.
100% - 15% = 85%
Next, a percent divided by 100 becomes a decimal.
85% / 100 = 0.85
Now, we are finding 85% of the shoe price, $38.95. In mathematics, "of" means multiply, so we will multiply the two values together to find the discounted price of the shoes.
$38.95 * 0.85 = 33.1075
Lastly, dollars rounds at the hundredths place.
33.1075 ➜ $33.18
please answer and explain
Answer:
Trapezoid
Step-by-step explanation:
It's a quadrilateral and it only has one pair of parallel sides.
how can you find the area and perimeter?
After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.
The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:
1. Rectangle:
• Area: A = length x width
• Perimeter: P = 2(length + width)
2. Square:
• Area: A = side x side (οr A = side²)
• Perimeter: P = 4 x side
3. Circle:
• Area: A = π x radius²
• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)
4. Triangle:
• Area: A = (base x height) / 2
• Perimeter: P = side1 + side2 + side3
5. Trapezοid:
• Area: A = ((base1 + base2) x height) / 2
• Perimeter: P = side1 + side2 + side3 + side4
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The chief engineer is in charge of deciding the mountainous road-network that will be kept open (cleared of debris and maintained regularly) during the winter months. Each road connects different small towns in the mountains, and all towns are connected to each other either directly or indirectly. Each road is associated with a value indicating the level of danger in maintaining that road during winter months. There are many subsets of roads such that the roads in such subsets keep the towns connected directly or indirectly. Each subset is assigned a cost of maintenance, which is directly proportional to the highest danger level of the road present in that subset. The engineer wants to select the smallest subset that keeps the towns connected directly or indirectly and that also has the lowest cost of maintenance. Develop an algorithm to find such a subset. Justify the correctness of your algorithm and derive its runtime.
Answer:
I dont know the answer to it
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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An image point after 180 rotation is Z'( 3,7) what are the coordinates of the pre-image point
Answer:
(-3 , -7)
Step-by-step explanation:
(5x7) + (5x9) = 5x (7+?
Answer:
9
Step-by-step explanation:
this is because it is 9 and it could be 9
Answer:
First let's find what (5x7) + (5x9) equals;
(5x7) + (5x9)
35 + 45
= 80
Now 80 has to equal to;
5 x (7 + y) ( where 'y' is our unknown number)
So we set up the equation:-
80 = 5 x (7 + y)
80 = 35 + 5y
-35 -35
45 = 5y
/5 /5
9 = y
Let's double check:
80 = 5 x (7 + y)
80 = 5 x (7 + 9)
80 = 35 + 45
80 = 80, we are correct.
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
what is the quotient of4/6and2/9
Answer:
3
Step-by-step explanation:
Trust meh
Bob packs 13 pounds of nuts in bags. Each bag has 1/4 pound of nuts. Which equation shows the number of bags Bob packed with all the nuts?
13 × 1/4 = 52
13 ÷ 1/4 = 52
13 ÷ 1/4 = 14/4
13 × 1/4 = 13/4
The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags
Given data ,
Bob packs 13 pounds of nuts in bags.
Each bag has 1/4 pound of nuts
Now , the number of bags = pounds of nuts / pounds of nuts in each bag
A = 13 / 1/4
On simplifying the equation , we get
A = 52 bags
Hence , the number of bags is 52 bags
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Solve and check |2x + 1| = 9
Answer:
so the lines mean absolute value
which is the exact distance from zero that the number is
now
you subtract one from nine which makes it 2x=8
then
you divide nine by 2x which makes it
x=4
So the answer is four
if it helps mark me brainliest please
Answer:
-5,4
Step-by-step explanation:
I know that 2 numbers will work because it's an absolute function.
2x+1=9
2x=8
x=4
2(-5)+1=|-9| = 9
A race car traveled for 2 1/2hours with an average speed of 132 5/8 km per hour. Find the total distance it covered.
Answer: The total distance covered by the car is 331 9/16 km.
Step-by-step explanation:
We know that, speed= distance/time taken
Therefore, distance = speed x time taken
= 132 5/8 x 2 1/2
= 5/2 x 1061/8
= 5305/16
= 331 9/16 km
Therefore, total distance is 331 9/16 km.
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A vehicle travels 35 miles in 5 hours. What is the unit rate, per hour, that the vehicle travels?