Write decimal as a fraction/mixed number in simplest form. 0.4
Four balls of wool will make 8 knitted caps. How many balls of wool will Malcom need if he wants to make 6 caps. Explain with Ratio table.
8/4 = 2 caps per ball of wool
so 6/2 = 3 balls of wool are needed.
4/8 = x/6
8x/24
x = 24/8 = 3
Malcom will need 3 balls of wool to make 6 caps.
Understanding Wool to Caps Ratio
To determine how many balls of wool Malcom will need to make 6 caps, we will use a ratio table. We know that 4 balls of wool can make 8 knitted caps. We can set up a ratio table to find the number of balls needed for any number of caps.
Step-by-Step Explanation:
Step 1: Establish the known ratio: 4 balls of wool : 8 caps
Step 2: Simplify the ratio: (4 balls of wool) / (8 caps) = 1 ball of wool : 2 caps
Step 3: Determine the number of balls of wool needed for 6 caps using the simplified ratio. If 1 ball of wool makes 2 caps, then:
Step 4: Calculate: (number of caps) / (caps per ball) = 6 caps / 2 caps per ball = 3 balls of wool
Therefore, Malcom will need 3 balls of wool to make 6 caps.
The Pythagorean Sea, in Southern Antarctica has a depth that varies quadratically with its width. The width of the sea is 1000 meters. Two hundred meters from shore, the depth is 20 meters. Find the particular quadratic equation for the sea. Compute the depth of the deepest portion of the sea.
Final answer:
To find the quadratic equation that models the depth of the Pythagorean Sea, we apply given conditions to the standard form y = ax^2 + bx + c. Solving for coefficients, we then identify the vertex of the parabola to find the deepest point of the sea. Finally, we calculate the depth at this point by substituting the vertex into the equation.
Explanation:
Finding the Particular Quadratic Equation and Depth of the Sea
To find the particular quadratic equation for the depth of the Pythagorean Sea as a function of its width, we can begin by assuming the standard form of the equation:
y = ax^2 + bx + c,
where y represents the depth in meters, and x is the horizontal distance from the shore in meters. Given that the sea's width is 1000 meters and at 200 meters from the shore the depth is 20 meters, we can establish some conditions.
At x = 0 (shoreline), the depth is 0: hence, c = 0.At x = 200 meters, the depth is y = 20 meters.At x = 1000 meters (opposite shoreline), the depth should return to 0.By substituting these conditions into the equation, we can solve for a and b to determine the complete equation. Once we have the equation, the depth's maximum (the deepest part of the sea) will occur at the vertex of the parabola, which is at x = -b/(2a).
Once we find the deepest point, we can calculate its depth by substituting back into the equation.
Answer:
equation: y = 0.0005x²
maximum depth: 500 m
Step-by-step explanation:
Equation for a quantity that changes quadratically with another quantity:
y = kx²
where x = width, and y = depth.
For x = 200, y = 20.
20 = k(200²)
k = 20/(40000)
k = 0.0005
The equation is
y = 0.0005x²
The width is 1000 m.
For 1000 m, x = 1000
y = 0.0005x²
y = 0.0005(1000²)
y = 500
Answer:
equation: y = 0.0005x²
maximum depth: 500 m
What is the probability that the first player does not get a blue character?
A supermarket has 192 shelves for canned goods. Each shelf can hold 26 cans. How many cans will the shelves hold in all?
Is 13-yard gain a positive or negitave integer?Explain the meaning of zero in this situation.
Answer:
Positive integer
Step-by-step explanation:
An integer is a collection of positive and negative number and zero
Positive Numbers: Positive number are the numbers which have positive sign. For example 4, 9 or which which represents positivity like gain , increase, profit etc
Negative numbers: Negative number are the numbers which have negative sign. For example -4, -9 or which which represents negativity like loss , decrease etc
Zero is neither a negative number nor a positive number.
13 yard is a positive because there is a gain , which represent positivity.
We can also write + 13 yard.
Hence, the correct answer is it is a positive integer
A pair of in-line skates that usually sell for $40 is on sale at a 30% discount. What is the sale price?
Given: JKLM is an isosceles trapezoid, KL ∥ JM
Prove: KM ≅ JL
What is the missing reason in step 4?
Statements Reasons
1. JKLM is an isosceles trapezoid, KL ∥ JM 1. given
2. JK ≅ LM 2. definition of isosceles trapezoid
3. KL ≅ KL 3. reflexive property
4. ∠JKL ≅ ∠MLK 4. ?
5. △JKL ≅ △MLK 5. SAS ≅ theorem
6. KM ≅ JL 6. CPCTC
definition of linear pair
definition of congruence
base angles theorem
sufficient base angles theorem
Answer:
(C) Base angle theorem
Step-by-step explanation:
Given: JKLM is an isosceles trapezoid, KL ∥ JM
Prove: KM ≅ JL
Proof:
Statements Reasons
1. JKLM is an isosceles trapezoid, KL ∥ JM Given
2. JK ≅ LM definition of isosceles trapezoid
3. KL ≅ KL reflexive property
4. ∠JKL ≅ ∠MLK Base angle theorem (base=LK)
5. △JKL ≅ △MLK SAS rule
6. KM ≅ JL CPCTC
Hence proved.
therefore, option C is correct.
The missing reason for statement 4, is: C. base angles theorem.
What is the Base Angle Theorem?The base angle theorem states that the two base angles in an isosceles triangle that are opposite the congruent sides are equal in measure or congruent.
Thus, ∠JKL and ∠MLK are base angles of the identified isosceles triangle, therefore, the missing reason for statement 4, is: C. base angles theorem.
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Solve the equation. −t/4=−3π
What's the distance between 178 and -395
What is another way to write 4 to the 6th power ?
A right triangle has legs of length 6 and 11. What is the length of the hypotenuse?
A) √142
B) √157
C) 15
D) 5√5
Farrah is 4 years older than 5 times her brother Emil's age. Farrah is 19 years old. Let e represent Emil’s age. During the Strategize step of the five-step problem-solving plan, which expression would you use to represent Farrah’s age? A: 5e + 19 B: 5e + 4 C: e + 19 D: 4e + 5
Answer:
The answer is B hope you get a good grade
Step-by-step explanation:
What is the value of x? 6+8z/2= 5x
Answer:
The answers is 3 hope this helped
Thinking about the different types of numbers you learned in this unit, how would you help someone remember the differences between rational and irrational numbers?
The Difference between Rational numbers and Irrational numbers are given as follows
Rational numbers = A number of the form [tex]\dfrac{p}{q}[/tex] when [tex]q\neq 0[/tex] is called as a Rational number
Example = Any fraction of the form p/q such as 2/3 , -3/11 and 5/12
Irrational number = A number that can not be expressed in the form of [tex]\dfrac{p}{q}[/tex] or nor it can be represented as a recurring decimal form then it is called as Irrational number
These are of the form [tex]\sqrt[n]{x}[/tex] where we can not simplify positive integer x
Example = [tex]\sqrt{2}[/tex] , [tex]\sqrt{3}[/tex] ,[tex]\sqrt[3]{5}[/tex]
These both types of numbers belong to the category of Real numbers as they fall on Real number line.
Rational numbers with denominators = 1 are called as Integers
Surds are the categories of Irrational numbers are
Surds are the values of square root of any positive number that can not be simplified further to a whole number
Some examples of Surds are [tex]\sqrt{2}[/tex] and [tex]\sqrt{3}[/tex]
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Solve for h 10=8h h=?
The value of h in the given equation is 5/4
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
An equation is a mathematical sentence that has two equal sides separated by an equal sign. 4 + 6 = 10 is an example of an equation. We can see on the left side of the equal sign, 4 + 6, and on the right hand side of the equal sign, 10.
An equation is a condition on a variable such that two expressions in the variable should have equal value.
Given that, an equation, 10=8h, we need to solve for h
10 = 8h
8h = 10
Divide by 8
8h / 8 = 10 / 8
h = 5 / 4
Hence, the value of h in the given equation is 5/4
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Voyage has a drop that is 22 feet less than El Toro. Draw a bar diagram to the right and write an equation to find the height of Voyage.
All I can say is that the answer is 6 because this needs paper to draw a bar diagram
The Statue of Liberty weighs about 2.04 x 105105 kg. The Washington Monument weighs about 9.07 x 107107 kg. About how many more kilograms does the Washington Monument weigh than the Statue of Liberty?
Answer:
d is ur answer
Step-by-step explanation:
Washington Monument weigh 5 times than the Statue of Liberty
What is ratio?A share is an equation wherein ratios are set equal to each other. as an example, if there's 1 boy and three girls you can write the ratio as: 1 : three. Linear Equation Definition: A A share is an equation wherein ratios are set equal to each other. as an example, if there's 1 boy and three girls you can write the ratio as: 1 : three.
Linear Equation Definition: A linear equation is an algebraic equation wherein each time period has an exponent of 1 and whilst this equation is graphed, it constantly effects in a directly line. this is the motive why it is named as a 'linear equation'.
A ratio can be defined as the relationship or assessment between numbers of the same unit to test how bigger is one wide variety than the alternative one. for example, if the number of marks scored in a take a look at is 7 out of 10, then the ratio of marks obtained to the overall quantity of marks is written as 7:10.
The ratio is the connection or evaluation between two portions of the identical unit to check how bigger is one variety than the alternative one. it's miles written as a/b or a: b wherein b isn't always identical to zero. A proportion is an equality of ratios. Proportions are used to put in writing equal ratios which helps to remedy the unknown portions.
explanation:
The Statue of Liberty weighs about 2.04 x 105105 kg.
The Washington Monument weighs about 9.07 x 107107 kg.
⇒WEIGHT DIFFERENCE = 9.07 x 107107/ 2.04 x 105105 = 4.5 times.
Hence,
Washington Monument weigh 5 times than the Statue of Liberty
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Bob Reed sells a clock for $120.95 that cost him $62.50. Bob's percent of markup based on the selling price is: 93.52 percent 48.33 percent 31.86 percent 95.32 percent None of the above
Help me pleases with these
The unit cost is cost of 1 unit of a product, here its cost
of 1 pound of sugar.
In first case unit cost is $1.07.
In second case, cost of the 2 pound = $2.02, or cost of 1 pound =
[2.02/2] = $1.01.
In third case, cost of the 3 pound = $2.79, or cost of 1 pound = [2.79/3] = $0.93.
We can see that as the quantity is increasing unit cost is decreasing.
The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price. Which expression represents the amount of tax that is paid on the bicycle?
A) 1.09x
B) 0.09x
C) 0.09x - 30
D) x - 30
The correct answer is option B). The expression that represents the amount of tax paid on the bicycle is 0.09x.
The expression given is:
[tex]\[ 0.09x + (x - 30) \][/tex]
This expression can be broken down into two parts:
1. [tex]\( 0.09x \)[/tex] represents the tax paid on the original price of the bicycle, where [tex]\( x \)[/tex] is the original price and [tex]\( 0.09 \)[/tex] (or [tex]\( 9\% \)[/tex]) is the tax rate.
2. [tex]\( (x - 30) \)[/tex] represents the final price after the instant rebate of $30 has been subtracted from the original price [tex]\( x \)[/tex].
Since we are looking for the amount of tax paid, we only need to consider the tax component, which is [tex]\( 0.09x \)[/tex].
Therefore, the expression that represents the amount of tax paid on the bicycle is: [tex]{0.09x}[/tex]
I need help on 19, 21, and 22. Find the mean of each set of integers.
Which of the following expressions does not mean the same as the other three?
x - 17
x + (-17)
x - (-17)
- 17 + x
Hey there! You answer is x - (-17) . I hope this helped! Your fellow Brainly user, GalaxyGamingKitty.
McKenzie bought 1.2 pounds of coffe for $11.82. What was the cost per pound?
Sylvia walked 3/4 mi east from her house to the bank. Then she walked 1/3 mi west to a gift shop. From the gift shop, she walked 1/4 mi west to a grocery store. How far is the grocery store from Sylvia's house?
Solution:
The grocery store is 1/6 miles far from her house.
Explanation:
We have been given that Sylvia walked 3/4 mi east from her house to the bank. Hence, the distance between the house and the bank is 3/4 miles.
Now, she walked 1/3 mi west to a gift shop. It means that she moved 1/3 miles towards her house.
Also, from the gift shop, she walked 1/4 mi west to a grocery store. It means she moved 1/3 miles plus 1/4 miles towards her house.
Hence, the distance between the grocery store and the house is
[tex]\frac{3}{4}-\left ( \frac{1}{3}+\frac{1}{4} \right )\\\\=\frac{3}{4}-\frac{1}{3}-\frac{1}{4} \\\\ =\frac{1}{6}[/tex]
Answer:
your answer to this problem is 1/6
Step-by-step explanation:
Fran has a plank of wood 4.65 meters long. She wants to cut it into pieces 0.85 meters long. How many pieces of wood that length can she cut from the plank?
Two bugs are running back and forth along a straight branch at constant speeds
without stopping. They start from opposite ends of the branch at the same time
and meet for the first time 40cm from one end of the branch. They continue to the
ends and return, meeting for the second time 20 cm from the other end of the
branch. How long is the branch?
Garth is mulriplying 29 ×16. He has 184 after multiplying the ones and 290 after multiplying the tens. Explain how Garth can find the final product.
help me with these questions , please
What is the ratio of stars to hearts?
6 stars, 4 hearts.
A. 2:3
B. 2:5
C. 3:2
D. 3:5
The ratio of stars to hearts is 3:2, so option C is correct.
What is ratio?It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.
Given:
The no of stars = 6,
The no of hearts = 4
Calculate the ratio by the formula given below,
The ratio of stars to hearts (R) = The no of stars / The no of hearts
Substitute the values,
R = 6 / 4
R = 3 / 2
Therefore, the ratio of stars to hearts is 3:2.
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