Answers
Answer:
A
Step-by-step explanation:
let r represent rate and d distance.
Given that r varies directly as d² then the equation relating them is
r = kd² ← k is the constant of variation
To find k use the condition r = 4 when d = 15, then
4 = k × 15² = 225k ( divide both sides by 225 )
k = [tex]\frac{4}{225}[/tex]
r = [tex]\frac{4}{225}[/tex] d² ← equation of variation
When r = 9, then
9 = [tex]\frac{4}{225}[/tex]d² ( multiply both sides by 225 )
2025 = 4d² ( divide both sides by 4 )
506.25 = d² ( take the square root of both sides )
d = [tex]\sqrt{506.25}[/tex] = 22.5 = 22 [tex]\frac{1}{2}[/tex] → A
Related Questions
Recycled CDs, Incorporated, offers a choice of 5 used CDs for $23 with each additional CD costing $3 Write a cost function for purchasing 5 or more CDs. What will the cost of buying 10 Ds be? Let x represent the number of CDs over 5
Answers
Answer:
-f(x)=23+3x
-The cost of buying 10 CDs will be $38.
Step-by-step explanation:
From the information given, the cost function for purchasing 5 or more CDs has to indicate that you would pay 23 plus the result of multiplying 3 for the number of CDs over 5:
f(x)=23+3x, where:
x represents the number of CDs over 5
Using this function you can determine the cost of buying 10 CDs:
x would be equal to 5 that is the number of CDs over 5 when you buy 10 CDs:
10-5= 5
Now, you can replace the value of x:
f(x)=23+(3*5)
f(x)=23+15=38
According to this, the cost of buying 10 CDs will be $38.
How do you add and subtract intergers.
Answers
Answer:
Add a positive integer by moving to the right on the number line.
Subtract an integer by adding its opposite.
Step-by-step explanation:
Step-by-step explanation:
1, Add a positive integer by moving to the right on the number line.
2, Add a negative integer by moving to the left on the number line.
3, Subtract an integer by adding its opposite.
look at image. reflection across x=-1
Answers
Answer:
U 0,-2 S -2,-1 T -3 -5 will be the new points
Step-by-step explanation:
Which statement correctly describes the translation of trapezoid P to create the image
Answers
Answer:
C. 8 units to the right and 5 units down
Step-by-step explanation:
Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.
I hope this helps! I'm sorry if it's wrong.
how to do this question plz
Answers
Answer:
8
Step-by-step explanation:
Gradient = Slope
In y = mx + b
m is the gradient of the straight line
[tex]gradient = 8[/tex]
Find negative square root of 36.
Answers
Answer:
The positive and negative square roots of 36 are 6 and −6 .
root of -36=-6
root of 36=6
plZz mark brainliest
A 32 ounce soft drink costs $1.83. Approximately what is the price per ounce
Answers
Step-by-step explanation:
divide 32 by 1.83 to get the answer
the answer is 17.4863387978
round it off
the final answer should be:
17.5 cents
The price per ounce is approximately 5.72 cents per ounce.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
A 32-ounce soft drink costs $1.83.
So,
32 ounce ⇒ $1.83
Divide by 32 into both sides
1 ounce ⇒ 1.83/32
1 ounce ⇒ $0.0571875 = 5.72 cents.
Hence"The price per ounce is approximately 5.72 cents per ounce".
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1. In the expression 9x-11.9 is a coefficient
Answers
Answer:
9 is a coefficient
Step-by-step explanation:
9x-11.9
A coefficient is the number in front of the variable
9 is a coefficient and -11.9 is a constant
Sally shot her bow and arrow straight up into the air and she found the maximum height that her arrow reached was 30ft , but she wants to know how long it took to get there , what does she need to find ?
Answers
Answer:
Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.
Step-by-step explanation:
Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:
[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]
[tex]0 = v_{o}+g\cdot t[/tex]
Where:
[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.
[tex]v_{o}[/tex] - Initial velocity, measured in feet per second.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
[tex]t[/tex] - Time, measured in seconds.
In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.
composite numbers greater than 10 but less than 20
Answers
Answer:
10, 12, 14, 15, 16,18,20
Step-by-step explanation:
A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself)
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The composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, composite numbers must be greater than 10 but less than 20
An integer that is positive and not prime is a composite number. The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15 commonly abbreviated as "composites"
In all areas of mathematics, including shape, measurement, quantifying quantities of objects, and computation, composite numbers are applied.
To put it simply, odd composite numbers are all odd numbers that are not prime numbers. For illustration, use 9, 15, 21, etc.
Thus, the composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.
Learn more about the number here:
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The endpoints of EF
are E(1,3) and F(-2,8).
Find EF.
Answers
Answer:
EF = [tex]\sqrt{34}[/tex] ≈ 5.83
Step-by-step explanation:
Calculate EF using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)
EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]
= [tex]\sqrt{(-3)^2+5^2}[/tex]
= [tex]\sqrt{9+25}[/tex]
= [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )
What does "when x is an integer" mean?
Answers
Answer:
x = whole-valued numbers without fractions or decimal.
Step-by-step explanation:
An integer in mathematics refers to a whole number that can either be a positive or negative number but without any fractional part. Integers are numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.
Hence, when we say "x" is an integer, it simply means that the value of x should be a whole number that can either be a positive or negative number but without any fractional or decimal value or part.
In Mathematics, when solving for an unspecified or unknown integer we can use a lowercase alphabet "x" to denote the integer.
For instance;
2x + 5 = 11
2x = 11 - 5
2x = 6
Dividing both sides by 2, we have;
x = 3.
Someone please help me! I only have one attempt left.
Answers
Answer:
x=18
Step-by-step explanation:
10x-4+x-14=180
11x-18=180
11x=180+18
11x=198
x=[tex]\frac{198}{11}[/tex]
x=18
Answer:
x = 18
Step-by-step explanation:
(10x -4) + (x-14) = 180 (for linear pair)
<=> 10x + x - 4 - 14 = 180
<=> 11x - 18 = 180
<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11
<=> x = 18
What is f(x) times g(x)
Answers
Answer:
[tex]fg {x}^{2} [/tex]
Step-by-step explanation:
f(x) × g(x)
[tex]fg {x}^{2} [/tex]
it is not easy to explain but i hope u like it ❤️❤️❤️
For any question comment me
The original price of a pair of shoes is $36.00. Edward buys the shoes for 13% off its original price. Two weeks later Chad buys the same shoes for 29% off its original price. How much more money did Edward spend than Chad on the shoes?
Answers
Answer:
$6.06
Step-by-step explanation:
Edward: 36.00*0.87=31.32
Chad 36.00*0.71=25.25
31.32-25.25=6.06
$6.06
Hope this helps :-)
A stocks value decreased by 7 points each day for 2 weeks. Which numeric expression can be used to find out what the stock value was after the 2 weeks?
Answers
Answer:
x - 98
Step-by-step explanation:
Given the question :
A stocks value decreased by 7 points each day for 2 weeks. Which numeric expression can be used to find out what the stock value was after the 2 weeks?
Let the initial value of the stock = s
Rate of decrease = 7 points per day
Number of days in a week = 7
Hence, 2 weeks = ( 2 * 7) = 14 days
Total decrease in stock over the 2 weeks period :
(Decrease per day × number of days)
(7 points × 14) = 98 points
Stock value after 2 weeks :
(Initial stock value - decrease in stock over the 2 weeks period)
= x - 98
Use the Distributive Property to multiply 9 and 37 in your head
What is the answer?
Answers
Answer:
270 + 63 = 333
Step-by-step explanation:
If you did it in your head, it would look like this:
9(30) + 9(7)
270 + 63 = 333
7. If f(x) = x2 – 3x, what is f(5)?
a. 4
b. 8
C. 10
d. 16
Answers
Answer: C
Step-by-step explanation:
this is only the answer if the x is squared
plug 5 in for x
(5)^2-3(5)
25-15= 10
A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $24.98. Cole bought several hats, and the total cost was $99.92 , How many hats did cole buy ?
Answers
Answer:
8 hats
Step-by-step explanation:
1. .50 x 24.98
2. 12.49 x 8
3. solve 12.49 x 8
4. Equals 99.92
Hope this helps you an stay safe:)
Solve for x: -1 < x + 3 < 5
Answers
Answer:
[tex]x=-4<x<2[/tex]
Step-by-step explanation:
[tex]-1<x+3<5[/tex]
This inequality consists of 3 parts.
To solve this inequality, you will have to add -3 in each part of the inequality.
[tex]1+-3<x+3+-3<5+-3[/tex]
The answer to this is:
[tex]-4<x<2[/tex]
So that means x is equal to
[tex]x=-4<x<2[/tex]
Hope this helps!
HELP! I'LL MARK BRAINLEST!! Write a story that matches the expressions and equation shown on the left. Then solve the equation and find each person’s age.
Answers
Answer:
Felipe is "F" years old, Felipe's sister is 6 years younger then Felipe, Felipe's mom is times minus 6
Step-by-step explanation:
Use the number line to determine which of the following statements is true. Each tick is 1 unit. The quotient of P and S is positive. The absolute values of Q and R are the same. Q and S are opposite numbers. The product of R and S is negative.
Answers
Answer:
The absolute values of Q and R are the same
Step-by-step explanation:
Hope this helps! I had the same question lol
The absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
A number line is shown in the picture.
From the number line:
= 4/2=2
The absolute values of Q and R are the same.
Thus, the absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.
Use the number line to determine which of the following statements is true. Each tick is 1 unit.
The quotient of P and S is positive.
The product of R and S is negative.
The absolute values of Q and R are the same.
Q and S are opposite numbers.
Learn more about the arithmetic operations here,
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Jan noticed that she has four times as many dimes as quarters. She has one more nickel than dimes. The
coins totaled $6.00. How many dimes does Jan have?
Answers
Answer:
Jan has 28 dimes.
Step-by-step explanation:
It would take 24 quarters or 60 dimes or 120 nickels to make $6.
So, I simply divided 24 by 3, which is 8 (but I did 7).
7 quarters is 1.75, and 28 dimes make 2.80, and 29 nickels make 1.45
1.75 + 2.80 + 1.45 = $6
Select the product that shows the correct placement of the decimal point
30.76
x 0.08
0 2.4608
0 24.608
X 246.08
2460.8
Answers
Answer:
0 2.4608
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
hope this helps
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if f(x) = 5x + 40, what is f(x) when x= -5
Answers
All we need to do is substitute and solve:
f(-5) = 5(-5) + 40
f(-5) = -25 + 40
f(-5) = 15
Best of Luck!
What is the solution to the proportion? Round the answer to the nearest tenth if necessary. StartFraction 52 over x EndFraction = StartFraction 9.5 over 3.25 EndFraction x = 14.6 x = 17.8 x = 157.8 x = 169.0
Answers
Answer: 17.8
Step-by-step explanation:
The solution to the proportion would be x = 17.8 which is the correct option (B).
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been the given proportion as:
⇒ 52 : x = 9.5 : 3.25
⇒ 52/x = 9.5/3.25
⇒ 52/x = 2.923
Cross multiplication, and we get
⇒ x = 52/2.923
Apply the division operation,
⇒ x = 17.8
Therefore, the solution to the proportion would be x = 17.8.
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5y>=75 can someone give me the answer and write how they did it?
Answers
Answer:
The answer is y = 15 (I'm pretty sure)
Step-by-step explanation:
Simplifying
5y = 75
Move all terms containing y to the left, all other terms to the right.
Divide each side by '5'.
y = 15
Simplify
y = 15
Answer:
y≥15
Step-by-step explanation:
5 times 15 = 75 so, y= y≥15
The noontime temperature was 29°F. This was 4°F lower than predicted. Write and solve an equation to determine the predicted noontime temperature
Answers
Answer:
29x-4
Step-by-step explanation:
r+(-8) = 10
Can someone help me ?
Answers
Two equations are shown. Equation 1: -0.5x-4=1.5 Equation 2: -0.5(x-4)=1.5 Select each statement that must be true. PLZ HELP ME!
Answers
Answer:
Equation 2 is correct
Step-by-step explanation:
Equation 1 is 2, not 1.5
Answer: C and D
Step-by-step explanation:
The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.