The amount a babysitter earns is given by the equation y=7.5x where x is the number of hours and y is the amount earned in dollars. Is this relationship proportional?
Yes, this relationship is proportional.
Answer:
Yes, the relationship is proportional
Step-by-step explanation:
This is because the number of hours (x) is multiplied by the same number, 7.5, meaning that all of the values will be proportional (create a straight/linear line on a graph when the points are plotted).
calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
A. 46.3
B. 50.4
C. 50.5
D. 55.0
Hello!
AnswerThe mean of the numbers shown in the table is C. 50.5
__________________________________________________ExplanationTo calculate the mean, simply add up all the numbers and divide by the amount of numbers there are in the list.
18 + 55 + 101 + 96 + 55 + 18 + 22 + 23 + 22 + 57 + 88 = 555
There are 11 numbers in the table, so we divide by that.
555 / 11 = 50.45...
Finally, round to the nearest tenth: 50.5
the volume of a rectangular prism can be found by multiplying the length width and height of the prism which of the following following could be possible dimensions of a rectangular prism that has a volume of 75 ft
D
because 3*5=15 And 15*5=75
What is the standard form of the number shown in this calculator display?
3.82e+7
38.9e i think 60% sure
Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels containing 40 coins each, 4 rolls of dimes containing 50 coins each l, and 3 rolls of quarters containing 40 coins each. How much money does he have?
6•50=$3.00 pennies
5•40=$2.00 nickels
50•10=$5.00 dimes
25•40=$10.00 total $20.00
Answer: $63
Step-by-step explanation:
Penny = $0.01
Nickel = $0.05
Dime = $0.1
Quarter= $0.25
Number of pennies = 6(50) = 300
Number of nickels = 5(40)= 200
Number of dimes = 4(50)= 200
Number of quarters = 3(40) = 120
Total amount of money:
300(0.01)+ 200(0.05) + 200(0.1) + 120(0.25) = $63
What does |-2 + (-1)| equal too
[tex]|-2 + (-1)|[/tex]
Well, first, we must subtract-2 by 1, as the negative sign next to 1 is inside the parentheses.
[tex]|-2 -1|[/tex]
[tex]|-3|[/tex]
Now remember, since it is an absolute value, meaning the distance from that number to zero, we will now disregard the negative sign and get our answer: 3
A yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. If the store has 15 possible toppings, how many different 3-topping combinations can a customers choose?
Question says that a yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. Also the store has 15 possible toppings.
Now we need to find about how many different 3-topping combinations can a customers choose.
To find that we just need to apply combination formula
[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]
which is used to select r items out of n items
we have to find combination of 15 toppings into 3 toppings so we calculate C(15,3) using above formula
[tex]C(15,3)=\frac{15!}{3!(15-3)!}[/tex]
[tex]C(15,3)=\frac{15!}{3!*12!}[/tex]
[tex]C(15,3)=\frac{15*14*13*12!}{3!*12!}[/tex]
[tex]C(15,3)=\frac{15*14*13}{3!}[/tex]
[tex]C(15,3)=\frac{2730}{6}[/tex]
[tex]C(15,3)=455[/tex]
Hence final answer is 455.
Answer:
only 455
Step-by-step explanation:
i have a ? how do you know when its C(n,r) and not P(n,r)
Holly
has 25 fish in her aquarium. Tommy has one-fifth the number of fish that Holly has. Jared has three times as many fish as Tommy. If they combine all their fish in the new school aquarium, how many fish would there be in all?
what is the m<PHJ
A. 100°
B. 120°
C. 140°
D. 160°
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
∠PML = 140°
∠KHP = 20°
We need to find the measure of ∠PHJ.
Let m ∠PHJ = x°
From the graph, we conclude that
∠PML = ∠PHJ + ∠KHP (Vertically opposite angle)
[tex]140^\circ=x+20^\circ\\\\140^\circ-20^\circ=x\\\\120^\circ=x[/tex]
Hence, Option 'B' is correct.
Solving an equation like this
3x-4=18+5x
Ryan drives his car on a trip and goes 4,000Km , how many miles did he travel? (1 miles=1.609 km )
2,486.016 miles of distance Ryan drives his car on a trip.
Given that, Ryan drives his car on a trip and goes 4,000 km.
We need to find how many miles he travels.
How to convert kilometres to miles?1 kilometre is equal to 0.621371 miles (often shortened to .62) and 1 mile is equal to 1.609344 kilometres. Thus, to convert kilometres to miles, simply multiply the number of kilometres by 0.62137.
Now, divide the number of kilometres by 1.609
That is, 4000/1.609=2,486.016 miles
Therefore, 2,486.016 miles of distance Ryan drives his car on a trip.
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Nikita invest 2000 into a bank account with a 4% annual interest rate. In seven years which is the most expensive item she can afford to buy
a) 2,700.
B) 2,500
c) 2,200
D) 3,000
Answer:
The correct option will be: B) 2,500
Step-by-step explanation:
Nikita invest 2000 into a bank account with a 4% annual interest rate.
So, the amount of interest in one year will be: [tex](2000*0.04)= 80[/tex]
and the amount of interest in 7 years will be: [tex](80*7)=560[/tex]
Thus, the total money in her account after 7 years [tex]=(2000+560)=2560[/tex]
So, the most expensive item she can afford to buy will be: 2500
Answer:
The answer is (a mountain bike priced at $2,500) In Plato
Step-by-step explanation:
10p-2(3p-6)=4(3p-6)-8p please show work
What is the value of x?
3(x−2)+5x=18
X = ????
3(x-2)+5x=18
the correct answer is x=3
first simply the equation
8x=18+6
Now rid of alike terms resulting in
8x=24
now divide 24 by 8
x=3
What is x > -3 as an interval notion?
(- 3, ∞ )
the parenthesis at both ends indicates x ≠ - 3 or ∞
if x ≥ - 3 then {- 3, ∞ )
the square bracket on the left indicates x can equal - 3
Final answer:
The inequality x > -3 in interval notation is (-3, ∞), which means that the solution set for x includes all values greater than -3, but does not include -3 itself.
Explanation:
When the inequality x > -3 is written in interval notation, it means that the solution set for x includes all values greater than -3, but does not include -3 itself. In interval notation, we use a round bracket to indicate that -3 is not included in the solution set. The interval notation for x > -3 is (-3, ∞). This notation represents a half-open interval, where -3 is excluded but all values greater than -3 are included. The symbol ∞ represents infinity, indicating that there is no upper bound for the values of x in this inequality.
When the absolute value of the slope gets smaller, the graph of a line gets
_______.could you use?
a. shorter
b.steeper
c.longer
d.less steep
The graph of the line would get less steep.
(APEX approved~)
Answer:
D) Less steep.
Nina earns $15 for each yard she mowes. she wants to buy a dress that coasts $109. how many yards will she need to mow to earn money for the dress? explain
she will need to mow 8 yards because 109 divided by 15 equals 7.2 but she cant just mow 7.2 yards so you round up to 8 yards
Brandon enters bike races he bikes 8 and 1/2 miles every 1/2 hour complete the table to find how far Brandon bikes for each time he interval else if he likes 8 and 1/2 Mile for 1/2 hour how many miles does he bike per 1 hour
We find he bikes 17 miles in a full hour.
Brandon bikes 8 and 1/2 miles in 1/2 hour. To find out how far he bikes in 1 hour, we need to double the distance, because one hour is twice as long as half an hour.
Miles per hour = Miles in half an hour * 2 = (8 + 1/2) miles * 2
Now, let's perform the multiplication:
8 * 2 = 16
1/2 * 2 = 1
Therefore, 16 + 1 = 17 miles per hour.
Brandon bikes 17 miles in 1 hour. This is the distance he would cover if he continues at the same pace for a full hour.
Help algebra 2 questions.
For the first question, divide 200 by the seconds. You would get the answer 9.07. This answer is rounded to the nearest hundredth.
The second question, you would convert that to feet by using the units 1 meter = 3.28084.
If you converted it, the answer woudl be 29.75722 ft/second
The top of a refrigerator has an area of 0.6 m^2. The height of the refrigerator is 180 CM. What volume does the refrigerator occupy in CUBIC METERS?
Note: all measurements of the refrigerator need to be in meters, make sure you have IDENTICAL units.
SHOW WORK PLEASE
THANKS IN ADVANCE! :)
the volume (V ) of a cuboid is V = Ah
where A is the area of the base or top and h is the height
h = 180 cm = 1.8m
V = 0.6 × 1.8 = 1.08 m³
The volume of the refrigerator is calculated by converting its height from centimeters to meters (180 cm = 1.8 m) and then multiplying it by the given area of the top (0.6 m²), resulting in a volume of 1.08 cubic meters.
To calculate the volume of the refrigerator, we need to use the formula for the volume of a rectangular prism, which is Volume = length x width x height. We already have the area of the top of the refrigerator, which is a product of its length and width, and we're given the height. However, firstly we need to ensure that all units are in meters.
Convert the height from centimeters to meters: 180 cm = 1.8 m.
Now, we can calculate the volume: Volume = Area x Height = 0.6 m² x 1.8 m = 1.08 m³.
Therefore, the refrigerator has a volume of 1.08 cubic meters.
help me please!!!!!
The selling price of an item is $520. After 6 months of not selling, it is marked down by 20%. After another another 6 months of not selling, it is further marked down by 30%. Find the sale price after both markdowns. Could you just tell me the steps and maybe give an example to this? Thank you.
To find the sale price after both markdowns, first apply a 20% markdown to the selling price and then apply a 30% markdown to the resulting price.
Explanation:To find the sale price after both markdowns, first apply the first markdown of 20%. To do this, multiply the selling price by 0.80 (1 - 0.20), since a 20% markdown is equivalent to selling at 80% of the original price. So, the price after the first markdown is $520 x 0.80 = $416.
Next, apply the second markdown of 30% to the price after the first markdown. Multiply $416 by 0.70 (1 - 0.30) to find the final sale price. $416 x 0.70 = $291.20.
Therefore, the sale price after both markdowns is $291.20.
Complete each number pattern
8,625 8,725 ______ ______ 9,024
862 962 _____ 1,162 ______
6,215 _____ 6,015 _______ ______
one number is three less than four times another. if their sum is decreased by seven, the result is twenty. find the numbers
x = 21
y = 6
x = 4y - 3
x + y - 7 = 20
Because we have a value for x, we can put it in the second equation to find the value of y.
4y - 3 + y - 7 = 20
Combine like terms.
5y - 10 = 20
Add 10 to both sides.
5y = 30
Divide both sides by 5.
y = 6
Now we can place this value of y back into the equation to find the exact value of x.
x + 6 - 7 = 20
Combine like terms.
x - 1 = 20
Add 1 to both sides.
x = 21
The graphs below show the number of honor roll students in each grade at Bridgeport Middle School. Which statement is true??
A. According to Graph 2, there are more than twice as many sixth graders on the honor roll than eighth graders on the honor roll.
B. The scale on Graph 1 does not distort the differences in the number of students.
C. The two graphs use completely different data
D.both: “according to Graph 2, there are more than twice as many sixth graders on the honor roll than eighth graders on the honor roll” and “the two graphs use completely different data”
Heres the problems I need help with....asked this earlier to get answers that were apparently incorrect..this is about repeating decimals.
When changing a repeating decimal to a fraction, you look at the number(s) to the right of the decimal. If there is only 1 number (0.444444...) then the number that repeats is is going to be the numerator of your fraction, with the denominator being 9 (4/9). So...
1. -1 2/9 (-1 and 2/9)
2. -5/9
5. 5 8/9 (5 and 8/9)
If there are 2 or more numbers to the right of the decimal, you add 1 "9" to the denominator per repeating number (2 repeating numbers = 99, 3 repeating numbers = 999, etc...). An example to show this would be 0.87 repeating (0.87878787... = 87/99). Therefore...
3. 27/99
4. 50/99
I hope this helps!
whats the answer of the problem peter is 3 years older than his sister Anna. if times their combined age is 85 . determine Annas age
Answer:
Anna is 41 years old.
Step-by-step explanation:
Easiest way to do this is by building a equation,
Lest say Anna's age is [tex]x[/tex].
Then as Peter is 3 years older than Anna Peter's age should be [tex]x+3[/tex].
Then the combined ages of the two people is given as 85. So we can write an equation as,
[tex]x+(x+3)=85[/tex]
[tex]x+x+3=85[/tex]
[tex]2x+3=85[/tex]
[tex]2x+3-3=85-3[/tex] (deducting 3 from both sides of the equation)
[tex]2x=82[/tex]
[tex]x=41[/tex]
As we originally took Anna;s age as [tex]x[/tex]
We can say Anna is 41 years old.
Solve -3 1/2 = 1/2x + 1/2x + x
- 3 1/2 = 2x
-7 /2 = 2 x
-7 /4 = x
-1 3/4 = x
find the slope of the line
the slope is 3/-5!!!! if u go up 3 and to the LEFT 5 that means it is negative.
if 75 is added to a number, the result is 39 less than three times the number.find the number
First, we would set the number to x.
Then, we turn the words into an equation.
x+75 = 3x-39
Isolate the x.
-2x = -114
So...
x = 57
The Number is 57.
Let's call the number you're trying to find "x."
According to the information given, if 75 is added to x, the result is 39 less than three times the number, which can be expressed as:
x + 75 = 3x - 39
To solve for x, you can first get all the x terms on one side of the equation and the constant terms on the other side:
75 + 39 = 3x - x
Now, simplify the equation:
114 = 2x
To isolate x, divide both sides by 2:
x = 114 / 2
x = 57
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