Matt could do one of the following arrangements;
2 rows of 8 CDs
4 rows of 4 CDs
8 x 2 = 16
4 x 4 = 16
Hence,
1st Way: Matt can arrange his CDs in 8 rows and he will have 2 CDs in each row.2nd Way: Matt can arrange his CDs in 4 rows and he will have 4 CDs in each row.Therefore, the number of ways can he arrange the CDs so they are in equal rows is 2 ways
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The temperature dropped 30°F in a 6 hour period. What was the mean hourly temperature drop?
The mean hourly temperature drop is 5°F per hour, calculated by dividing the total temperature drop of 30°F by the total time of 6 hours.
Explanation:If the temperature dropped 30°F over a period of 6 hours, the mean hourly temperature drop is calculated by dividing the total temperature drop by the total time.
This calculation provides the average rate of temperature change per hour.
To find the mean hourly temperature drop, you use the following steps:
Determine the total temperature change: 30°F.Determine the total time of the change: 6 hours.Divide the total temperature drop by the total time to find the mean hourly drop: Mean Hourly Drop = Total Temperature Drop ÷ Total Time.Perform the calculation: Mean Hourly Drop = 30°F ÷ 6 hours = 5°F per hour.Therefore, the mean hourly temperature drop is 5°F per hour.
Final answer:
The mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period is 5°F per hour.
Explanation:
The question asks to determine the mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period. To find the mean hourly drop, you simply divide the total temperature drop by the total number of hours.
To calculate: Mean hourly drop = Total temperature drop ÷ Number of hours
So in this case, it would be: Mean hourly drop = 30°F ÷ 6 hours = 5°F per hour
Therefore, the mean hourly temperature drop was 5°F.
Round 8,088 to the nearest thousand
Round 6,212 to the nearest hundred
Answer:
Step-by-step explanation:
6,212 яσυи∂є∂ тσ тнє иєαяєѕт нυи∂яє∂ ιѕ
6,200
Your answer will be 6,200.
Write an equation for each line in slope-intercept form.
Answer:
Slope Intercept Form is y = mx +b
1. y = x + 8
2. y = 1/2x + -5
3. y = x + 7
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A function can't have more than one Y value for any identical X value
A has two -9 X values which have different Y values so cannot be a function
B has two -8 X values with different Y values, so cannot be a function.
C has two 3 X values with different Y values, so cannot be a function.
The answer is D.
Harold stores 10656 pounds of grain for his 24 cattle.Each cow eats about 12 pounds of grain each day.how many days would the food supply last?
Hey there!
If he has 24 cattle that eat 12 pounds of grain every day, then the amount of grain that they eat every day can be represented by the following equation:
p = 24 x 12 Multiply the two together, and the amount eaten each day is 288 pounds.
We can divide 10656 by 288 to figure out how many times 288 will go into 10656, which tells us how many days the supply will last.
10656 ÷ 288 = 37
So this means the food supply will last 37 days.
Hope this helps!
Select all that apply which of the following are equivalent 3 oranges for a dollar 6 oranges for 2 dollars 3 dollars for 1 orange and 9 oranges for 3 dollars
Answer:
3 oranges for $1, 6 oranges for $2,and 9 oranges for $3
Step-by-step explanation:
Because the ratio amount of oranges to the amount of money is 3:1 for all three
The required equivalent expressions are 3 oranges for a dollar, 6 oranges for 2 dollars, and 9 oranges for 3 dollars.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
Let the number of oranges be x and the cost for x oranges be y,
1. 3 oranges for a dollar 2. 6 oranges for 2 dollars 3. 3 dollars for 1 orange and 4. 9 oranges for 3 dollars
For the equivalent relation, of the given expression,
x₁ / y₁ = x₂ / y₂ = x₃ / y₃ = x₄ / y₄
3 / 1 = 6 / 2 = 1 / 3 = 9 / 3
3 / 1 = 3/1 ≠ 1 / 3 ≠ 3 / 1
Thus, the required equivalent expressions are 3 oranges for a dollar, 6 oranges for 2 dollars, and 9 oranges for 3 dollars.
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multiply 4 by p, then double the result
i think its 2(4p) or 8p
What is the mean for the following set of data? 12, 10, 11, 13, 14 10 12 13 14
The mean is calculated by adding all the data values together, and then dividing the sum by the number of data values.
12+10+11+13+14+10+12+13+14=109
109÷9≈12.1
The mean of the data set is about 12.1.
The mean of the data set will be 12.11.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
The data set is given below.
12, 10, 11, 13, 14 10 12 13 14
Then the mean of the data set will be
Mean = (12 + 10 + 11 + 13 + 14 + 10 + 12 + 13 + 14) / 9
Mean = 109/9
Mean = 12.11
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please help me I don't get this
Ryo accidentally Ordered 240% as many eggs as his restraint needs what fraction of the number of eggs his restraint needs did ryo order
Let the number of eggs Ryo actually needs be represented by the letter "x".
Then the number of eggs Ryo ordered was [tex]240\%[/tex] of that amount. This can be represented as:
[tex]240\%\times x=\frac{240}{100}x= \frac{12}{5}x[/tex]
Now, to find what fraction of the number of eggs Ryo actually needs in his restaurant, all that we need to do is divide the actual number of eggs, which is "x", by the amount of eggs Ryo actually accidentally ordered which is [tex]\frac{12}{5}x[/tex].
Thus, we get:
Fraction=[tex]\frac{x}{\frac{12}{5}x}= \frac{5}{12}[/tex]
Thus, [tex]\frac{5}{12}[/tex] is the required answer.
four students estimated the width of the door to their classroom .who made the best estimate?a,ted:1foot,b,hank,3 feet,c,ann,10feet,d,maria,15feet
Ann's and Maria's estimations of 10 feet and 15 feet are much wider and there would be no door with these widths.
Ted's estimation of 1 foot is also not possible as some stout students can't enter into the class. :D
Hence, Hank's estimation of 3 feet is the best estimate.
Hank made the best estimate of the width of the door at 3 feet, as standard interior doors are usually close to this width.
The question is about estimating the width of a door. Students provided different estimates for the door's width: Ted estimated it to be 1 foot, Hank estimated 3 feet, Ann estimated 10 feet, and Maria estimated 15 feet. To determine who made the best estimate, we can use the contextual knowledge of standard door sizes. Typically, the width of an interior classroom door is closer to 3 feet, which makes Hank's estimate the most reasonable. The estimates provided by Ann and Maria are excessively large for typical doors, and Ted's estimate of 1 foot is too small.
Find two equivalent fractions for 2/12
You can find two equivalent fractions by multiplying or dividing the numerator and denominator by the same number.
For example, if you had 2/3 and you wanted to find an equivalent fraction, you could multiply both the numerator (top number) and denominator (bottom number) by 2.
2/3 * 2/2 = 4/6, so an equivalent fraction of 2/3 is 4/6.
Now to find two equivalent fractions for 2/12: since both the numerator and denominator can be divided evenly by 2, you can divide 2/12 by 2/2.
2/12 / 2/2 = 1/6
1/6 is an equivalent fraction to 2/12.
You can also multiply 2/12 by 2/2 for another equivalent fraction.
2/12 * 2/2 = 4/24, so two equivalent fractions for 2/12 are 1/6 and 4/24.
Two equivalent fractions for 2/12 are 4/24 and 6/36.
To find equivalent fractions for 2/12, we need to multiply both the numerator and denominator by the same non-zero number. This will give us fractions that have different numerators and denominators but represent the same value.
Let's start by finding an equivalent fraction by multiplying both the numerator and denominator by 2:
2/12 x 2/2 = 4/24
The fraction 4/24 is equivalent to 2/12 because both fractions simplify to 1/6 when reduced to their simplest form.
Next, let's find another equivalent fraction by multiplying both the numerator and denominator by 3:
2/12 x 3/3 = 6/36
The fraction 6/36 is also equivalent to 2/12 because both fractions simplify to 1/6 when reduced.
Therefore, two equivalent fractions for 2/12 are 4/24 and 6/36, both of which represent the same value as 2/12, which is 1/6 when simplified.
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Suppose the function, g(x), is used to model the height ,y, of a soccer ball, x seconds after the ball is kicked up in the air. The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground. Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds. What would be an appropriate domain for g(x)?
the ball reaches its maximum height of 15 feet in 2.2 seconds
The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground
The ball starts on the ground at 0 seconds so the ball starts at x=0 seconds
the ball reaches its maximum height of 15 feet in 2.2 seconds
So it takes 2.2 second to reach the maximum height
It will take another 2.2 seconds to reach the ground
The time the ball in the air is 2.2 + 2.2 = 4.4
The ball will reach the ground in 4.4 seconds
So the domain for g(x) is {0,4.4}
Answer:
0 ≤ x ≤ 4.4
Step-by-step explanation:
The population of Miguel’s hometown is 23,718 what is 23,718 rounded to the nearest ten thousand?
The digit in the ten-thousands place is 3, and because the digit to the right of that digit is higher than 5, the number will be rounded up to 4.
Find the value of r so that the line through (1,4) and (-5,r) has a slope of 1/3
Final answer:
To determine the value of r for the line to have a slope of 1/3, the slope formula is applied and solved to find that r must be 2.
Explanation:
To find the value of r so that the line through the points (1,4) and (-5,r) has a slope of 1/3, we use the formula for the slope (m) of a line given two points (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1).
Step 1: Insert the known values into the slope formula
Slope (m) = 1/3, x1 = 1, y1 = 4, x2 = -5, y2 = r
1/3 = (r - 4) / (-5 - 1)
Step 2: Solve for r
1/3 = (r - 4) / (-6)
-2 = r - 4
r = 2
Therefore, the value of r is 2 for the line to have a slope of 1/3.
Suppose f(x) = x2 and g(x) = 2x − 3. What is the value of g(4) + f(−3)?
In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.
Substitute -3 into f(x).
f(x)=x²
f(-3)=(-3)²
f(-3)=9
Substitute 4 into g(x).
g(x)=2x-3
g(4)=2(4)-3
Using the rules of PEMDAS, multiply first then subtract.
g(4)=8-3
g(4)=5
Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.
5+9=14
The value of g(4)+f(-3) is 14.
The value obtained for the given equation g(4) + f(−3) will be equal to 14.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equations in the question,
f(x) = x²
So, f(-3) = (-3)²
f(-3) = 9
g(x) = 2x - 3
g(4) = 2(4) - 3
= 8 - 3
g(4) = 5
So,
g(4) + f(−3)
5 + 9 = 14
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how can we determine a slope?
slope formula: y2-y1/x2-x1
Find the GFC of 35 56 and 63
THe GCF of 35 and 56 is 7.
35/5 = 7
56/8 = 7
The greatest common factor of 35 ,56 and 63 is 7
what is the slope of the line on the graph
Answer:
the slope of the is -1/3
Step-by-step explanation:
Answer: [tex]\dfrac{-1}{3}[/tex]
Step-by-step explanation:
The slope of a line passes through two points (a,b) and (c,d) is given by :-
[tex]m=\dfrac{d-b}{c-a}[/tex]
From the give graph, the line is passing through (0,4) and (6,2).
Then the slope of line will be :-
[tex]m=\dfrac{2-4}{6-0}=\dfrac{-2}{6}=\dfrac{-1}{3}[/tex]
Hence, the slope of the line on the graph [tex]=\dfrac{-1}{3}[/tex]
The orange-and-purple-striped sweaters at a store were not selling, so the store put them on sale for half of the original price. The sweaters still did not sell, so the store reduced the price by an additional $10. The sweaters are now priced at $7.50. Write and solve an equation to find the original price of the sweaters. Explain each step of your solution.
7.50 + 10 = 17.50, 17.50 X 2 = 35 Original price is $35 dollars
If the volume of a cube is 12,167 cubic inches, what is the length of a side of the square?
Answer:
23 in
Step-by-step explanation:
Volume of a Cube: V = a³
Step 1: Define
V = 12,167 in³
a = ?
Step 2: Solve for side length a
Substitute: 12,167 = a³Cube root both sides: 23 = aRewrite: a = 23Step 3: Check
Plug in a to verify it's a solution.
Substitute: V = (23 in)³Evaluate: V = 12,167 in³1.Find the absolute value of the following integers: a. 9 b. −14 c. 0 d. −135 e. +1,408 2.Find the absolute value of the following numbers: a. 18 b. −5.72 c. 0.4 d. −712 e. +102.5
3.A man dropped his keys into the sea, and watched them fall to a depth of −8 meters before landing on a rock. How far are the keys from the surface of the sea? 4.Sue borrowed money from her friends to buy a cinema ticket and snacks. She now has a balance of −$21. How much money must she earn in order to break even, or achieve a balance of $0?
5.Ben removes a stick of frozen butter from the freezer, and finds that it has a temperature of −15°C. When the temperature of the butter reaches 0°C, Ben will use it in a recipe. How many degrees does the temperature need to rise?
1.
(a) 9
(b) 14
(c) 0
(d) 135
(e) 1408
2.
(a) 18
(b) 5.72
(c) 0.4
(d) 712
(e) 102.5
3. 8 meters
4. $21 or more
5. 15 degrees
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How do I solve this?
How to find the distance between these points?
2/5 (rise/run) is the distance. You move up by 2 and 5 to the right
You can use the distance formula it is: the square root of (x2-x1)^2 + (y2-y1)^2
(1+4)^2 + (8-6)^2
(5)^2 + (2)^2
25+4
29
Take the square root of 29 which is about 5.4
The distance is about 5.4
Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days. What exact interest rate was she paying? (Round your answer to the nearest tenth of a percent.)
27.1%
18.5%
17.3%
25.9%
answer : 25.9%
Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days.
Interest to be paid = 5200 - 4500 = $700
To find the rate we use simple interest formula
[tex]I =P*\frac{r}{100}*\frac{n}{360}[/tex]
I is the interest
P is the principal amount = 4500
r is the rate of interest
n is the number of days= 219
[tex]700 =4500*\frac{r}{100}*\frac{219}{365}[/tex]
[tex]700 = \frac{985500r}{36500}[/tex]
Multiply by 36500 on both sides
25550000= 985500 r
Divide by 985500
r = 25.92592
so interest rate is approximately = 25. 9%
Solve for u: 7/5u+2=1/2.
Solve for u by cross multiplying.
Answer: u = [tex]-\frac{15}{14}[/tex]
In Decimal form the answer is: −1.07142857…
simplify using laws of exponent
| -10^5/10^3 |
Step 1. Use the Quotient Rule: x^a/x^b = x^a-b
|-10^5-3|
Step 2. Simplify 5 - 3 to 2
|-10^2|
Step 3. Simplify 10^2 to 100
|-100|
Step 4. Simplify
100
[tex]Solution, \left|-\frac{10^5}{10^3}\right|=100[/tex]
[tex]Steps: \left|-\frac{10^5}{10^3}\right|[/tex]
[tex]\mathrm{Cancel\:}\frac{10^5}{10^3}:\quad 10^2, =\left|-10^2\right|[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a, =10^2[/tex]
[tex]\mathrm{Refine}, =100[/tex]
The correct answer is 100
Hope This Helps!!!
<3 - austint1414
py+7=6y+qp, y, plus, 7, equals, 6, y, plus, q y=y=y, equals
Py +7 = 6y + qp
Solve the equation for y
To solve the equation for y we need to get y alone
Py +7 = 6y + qp
Subtract 6y from both sides
Py - 6y +7 = + qp
Subtract 7 from both sides
Py - 6y = + qp - 7
Now factor out y
(P - 6)y = qp - 7
Divide by P - 6 from both sides
[tex]y =\frac{qp - 7}{(P - 6)}[/tex]
Answer:
y= p−6 /q−7
Step-by-step explanation:
The strategy
Move all y-terms on one side of the equation, and move all constant terms to the other side of the equation.
Using the distributive property, group like terms together on both sides of the equation.
To isolate y, divide both sides by the coefficient of y.
Solving for y
py+7 = 6y+q
py+7 -6y = q
py-6y= q - 7
y(p-6) = q-7
can you solve the equation 2/3(4x-5)=8 by using the division property of equality? explain
Answer:
Yes, you can use the division property of equality in this equation.
Step-by-step explanation:
This is because we have a variable (x) that is being MULTIPLIED (by 4). The opposite of multiplication is division. Since this is an equation that needs properties of equality to solve the variable, division would be a property of equality being used.