At a football stadium, 20% of the fans in attendance were teenagers. If there were 130 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
there were 650 people total
the sale tax rate on groceries in a certain state is 9% if the price of a grocery item before sales tax is g dollars, which expression represents the cost of the grocery item including sales tax?
Step-by-step explanation:
g + 0.09g = the final price
multiplying 0.09(9/100) with g will give you the tax
then you add it up to get the final cost.
The expression representing the cost of the grocery item including sales tax is 1.09g.
What is Percentage?Percentage is a dimensionless number and it has no measurement units.
It is usually denoted by the sign %. Sometimes it has also used in the abbreviated form 'pct.'.
Percentage of a number is the quotient of the number dividing with the whole and then multiply with 100. The reverse calculation can be done to find the number corresponding to a percentage.
Price of a grocery item before sales tax = g dollars
Sales tax rate on groceries = 9%
Amount of sales tax = 9% × g
= (9/100) × g
= 0.09 g
Total cost of the grocery = g + 0.09g
= 1.09g
Hence the total cost of the grocery item including sales tax is 1.09g.
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A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about
241,776,000 times in a year.
About how many times faster does the sparrow's heart beat compared to the human heart?
Estimate using a single digit times a power of 10.
2x108
or about 100 times faster
2x10
=1 x 102
0 2x10°
2x106
= 1 x 103
or about 1,000 times faster
2x108
2x105
=1 103
or about 1,000 times faster
2x109
2x105
=1 104
or about 10,000 times faster
Answer:
About 100 times faster
=1 x 10²
Step-by-step explanation:
Estimate using a single digit times a power of 10.
We approximate to the nearest whole number
A healthy human heart beats about 1,533,000 times in a year.
= 1.533 × 10⁶
As a single digit = 2.0 × 10⁶
A sparrow's heart beats about
241,776,000 times in a year.
= 2.41776 × 10⁸
As a single digit = 2 × 10⁸
About how many times faster does the sparrow's heart beat compared to the human heart?
We find the difference in their powers of 10
= ( 10^8 - 6)
= 10²
This means the sparrows heart beats at about
1 × 10² or a 100 times faster
Karen owns a seafood restaurant. She orders trout from an online retailer. Each pound of trout costs $30 and the company charges a $2 fee for shipping the order. However, if Karen orders 10 or more pounds, the Trout costs only &24 per pound, but the shipping fee is $6. Which piecewise function models the cost of x pounds of Trout?
Let, number of pounds of trout is x and their price is C.
For, x < 10 :
Price per pound is 30 .
C = 30x + 2 ....1 )
For, x ≥ 10 :
Price per pound is 24 .
C = 24x + 6 ....2 )
Therefore, total cost is :
[tex]C =\$ \left \{ {{30x+2 \ \ \ \ x<10} \atop {24x +6 \ \ \ \ x \ge 10}} \right.[/tex]
Hence, this is the required solution.
Answer:
30x+2, 0<x<10
24x+6, x≥10
Step-by-step explanation:
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Answer:
ghcfkjdecklijgf
What is the amount of simple interest paid on a principal amount of 3000 at a rate of 7% for a term of 4 years ?
Answer:
$3,840.00
Step-by-step explanation:
Formula for finding simple interest - P×R×T÷100
3000 ×7 ×4 ÷100
= $3,840.00
2) A youth ice hockey game has 3 periods that are each 20 minutes long. Colin plays 12 minutes each period. Which ratio shows Colin's playing time compared to the total number of minutes of playing time possible?
Its D or A But im pretty sure its A! Hope you do Great!
Let me know if its wrong!
Hi, I need some help with this pls! I would really appreciate it!
Answer:
78
Step-by-step explanation:
Simplify the number using the imaginary unit i. Please show work. 3 pts
mathematical process and 2pts correct answer
The formula for simple interest is where I is the amount you will pay in interest, r is the rate at which interest will accrue, P is the principal (amount borrowed), and m is the number of times the interest is applied.
Answer:
Kindly check explanation
Step-by-step explanation:
The simple interest formula (I) is the product of the principal, interest rate and the number of times interest is applied
Mathematically,
Simple interest (I) = principal(p) * rate(R) * time (t)
For instance, if a principal amount of $200 is borrowed at a rate of 5% per annum for 3 years. The simple interest on the amount borrowed will be :
Simple interest = $200 * 5% * 3
Simple Interest = $200 * 0.05 * 3
Simple Interest = $30
What Is the y intercept?
Answer:
The y intercept is 1
Step-by-step explanation:
The line crosses the y axis at 1
Answer:
y-intercept = 1
Step-by-step explanation:
The y-intercept is where the line crosses on the y-axis
The whole equation to this problem is (y=[tex]\frac{1}{3}[/tex] + 1)
Luke had $14.50. He spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Luke has left?
Answer: $4.90 left
Step-by-step explanation:
He spent a total of $9.60 at the snack bar and the arcade. You need to just subtract this from the total he had to get $4.90 left.
help btw this is 8 grade stuff idk y it says hight school
Answer:
integers
Step-by-step explanation:
May i have brainiest
Hi! I believe your answer is the first choice: integers. Integers are like whole numbers, but they also include negative numbers, but still no fractions allowed. I hope this helps you! Good luck and have a great day. ✨❤️
if a yard is 3 foot long, how many inches are in on yard
Answer:
36 inches
Step-by-step explanation:
Answer:
36 inches
Step-by-step explanation:
a yard is 3 feet long
there are 12 inches in a foot
so there are 12x3 inches on a foot.
12x3=36 inches
When traveling the probability of missing two flights in a row is .06. The probability of missing a single flight is .19. Are the two flights independent? ?
Answer:
Suppose that we have two events, event A and event B.
Where the probability of event A is Pa, and the probability of event B is Pb.
We say that events A and B are independent if the probability of both events happening is equal to the product of the individual probabilities.
Probability of event A and B = Pa*Pb.
In this case we have:
A = missing a single flight
B = missing a single flight.
Pa = 0.19 = Pb.
And we know that the probability of missing two flights is 0.06
Let's see if this is equal to the product of the individual probabilities:
Pa*Pb = 0.19*0.19 = 0.036
So the joint probability is smaller than the one given, this means that the events are not independent and that if you miss one plane, the probability of missing the next one has a small increase.
Store A sells 2 packages of straberries for $4.98.
Store B sells 5 packages of strawberries for $11.25.
Which store sells them at a cheaper price per package? How much cheaper is it?
Answer:
31
Step-by-step explanation:
Answer:
Store B and Its $1.20 cheaper if you buys five packs of strawberries from store B
3 to the power of 2- 2x3 + 5
Answer:
8
Step-by-step explanation:
Answer:
−2x^3+13
Step-by-step explanation:
Let's simplify step-by-step.
23−2x^3+5
=8+−2x^3+5
Combine Like Terms:
=8+−2x^3+5
=(−2x^3)+(8+5)
=−2x^3+13
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls,
work out how many boys there are?
Answer:
26 girls are there
Step-by-step explanation:
2+1= 3- this is the number of parts the kids are divided into
2 - 1 = 1, in one part there are 26 extra boys
26/1=26- there are 26 boys and girls in one part
since there are an extra 26 boys, the boys have an extra part
boys-2 parts girls-1 part
since 1 part has 26 kids , and the boys have 2 parts u need to multiply, 2*26=52, 52 boys in the class
since the girls have 1 part and here are 26 kids in one part the # of girls in the class are 26
After an earthquake, 3/5 of all claims were paid within a month. Of the remaining claims not paid 2/5 of them were paid within the second month. What fraction of claims were paid in the second month?
the answer is 6/25 of them were payed in the second month
i have not learned a single thing behind this screen and i’m gonna probably fail this test :( please help
Answer:
74 degrees
Step-by-step explanation:
Answer:
x = 74
Step-by-step explanation:
since the sides are the same lengths they will be the same angles
32 + 2x = 180
2x = 148
x = 74
Check:
32+ 74 + 74 = 180
-3x =1
You got to figure out the blank
Answer:
x=-1/3
Step-by-step explanation:
The equation y minus 5 = 6 (x + 1) is written in point-slope form. What is the equation written in slope-intercept form?
y = 6x + 11
y = 6x – 1
y = 6x – 4
y = 6x + 6
Answer:
Step-by-step explanation:
y-5=6x+6
y=6x+11
A guitar costs $545.95. If tax is 9.5%, what will the total price of the guitar be?
Answer: The total price of the guitar will be $597.82
Step-by-step explanation:
Multiply 545.95 by 0.095 and you get 51.87. Add 51.87 to 545.95 and you get 597.82
3(2x+5)=2(3x+3) solve for x
A bookstore offers a 15% discount to its employees. Suppose an employee has a coupon worth $5 off any item and wants to buy a book that costs $45. What is the final cost of the book if the employee discount is taken first and then the coupon is subtracted?
Answer:
I think it is $36???
Step-by-step explanation:
45-5= 40
15% of 40 is 6
40-6=36
Plz plz plz plz plz................
Answer:
x = 20.5
The way to get 20.5 is by looking at how you got 8, which is simple, you divided 16 by 2. So, we can do the same to the denominator by dividing it by 2 to get x.
Step-by-step explanation:
Hope this helped, my dear! <3
original price: $60 Markup: 15% Retail Price:??
Answer:
51
Step-by-step explanation:
I need help please
Find the slope
Answer:
-8/4
Step-by-step explanation:
Please, what is the answer?
Answer:
bean
Step-by-step explanation:
bean
Race day has finally arrived, and the event is about to begin. Each racer must complete one lap on the circular track, which has a radius of 15 meters. You find yourself racing against Ali Al Jouda! He holds the record for the KSAA U14 100m race. You are worried but motivated! According to his record, he runs at an average speed of 8.4 m/s. Your average speed is 7 m/s. How far will you have run by the time Ali crosses the finish line?
Answer:
78.54 meters
Step-by-step explanation:
circular path
radius = 15 meters
First we have to calculate the circumference of the circular path = 2[tex]\pi r[/tex]
= 2 * [tex]\pi * 15[/tex]
= 94.285 meters ( total distance to be covered )
For Ali running at a speed of 8.4 meters/ seconds
It will take him : ( 94.285 / 8.4 ) seconds
= 11.22 seconds
You running at a speed of 7 meters/seconds
hence at 11.22 seconds when Ali must have crossed the finish line you must have covered ;
(11.22 * 7 ) meters
= 78.54 meters