For this case we have to:
d: Represents the cost in dollars for each can of tennis
Then we have according to the data that:
[tex]3d + 4d + 2d[/tex]
The above expression represents the total cost of the tennis cans that Star bought.
We simplify, adding the similar terms of the expression:
[tex]9d[/tex]
ANswer:
[tex]9d[/tex]
What is the common ratio for the geometric sequence?
24,−6,32,−38,...
Enter your answer in the box.
The common ratio, r of the geometric sequence
24,−6,32,−38,... is -1/4
How to find common ratio of a geometric sequenceFirst term, a = 24Second term, = -6nth term of a geometric sequence = ar^(n-1)
n = number of termsCommon ratio, r = second term ÷ first term
= -6/24
= -1/4
r = -38/32
= -18/16
= -9/8
It seems the third and fourth term, 32 and -38 do not correspond with the given ratio.
Learn more about geometric sequence:
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A store is having a sale where movies are 15% off their original price. A movie originally cost $25. how much money will be saved by purchasing the movie on sale?
There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
Answer Choices:
A:1
B:10^10
C:10^16
D:10^17
Adult and student tickets to the high school basketball game are sold each week. For every two adult tickets, seven student tickets are sold. How many total tickets were sold if 92 adult tickets were sold?
The total number of tickets sold wer2 414 tickets.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, for every two adult tickets, seven student tickets are sold.
So, the ratio is 2:7
Here, 2+7 =9
The number of adult tickets sold were 92.
Let the total number of tickets be x.
Now, number of student tickets
2/9 ×x=92
2x=92×9
2x=828
x=414
Therefore, the total number of tickets sold wer2 414 tickets.
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Which of the following is a way to describe the number 358 ?
The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle? Answer quick
the sum of 15 and x is greater than or equal to 12 minus y
Function f is an exponential function.
x −4 −2 0 2 4
f(x) 316 34 3 12 48
By what factor does the output value increase as each input value increases by 1?
Answer:
The output value increased by factor 2.
Step-by-step explanation:
The general form of the exponential function is
[tex]f(x)=ab^x[/tex]
Where, a is initial value and b is growth factor.
From the given table it is noticed that at x=0, the value of f(x) is 3. It means the initial value is 3.
[tex]a=3[/tex]
The another value of f(x) is 12 at x=2.
[tex]f(3)=ab^2[/tex]
[tex]12=(3)b^2[/tex]
[tex]4=b^2[/tex]
[tex]b=2[/tex]
The required function is
[tex]f(x)=3(2)^x[/tex]
Since the growth factor is 2, therefore the output value increased by factor 2.
find the value of x
Kathleen had a bag of candy-coated chocolates. Of the 55 candies in the bag, 20% were red, 30% were orange, 30% were green, and 20% were blue. Of the blue ones, 20% had a damaged candy coating. Approximately how many of the blue ones had a damaged candy coating?
You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie
simplify √50 can someone help me ??
What is another to refer to coincident lines?
Simplify the numerical expression: -4.2 + 8.1 x ( -1.9)
Which is the largest ratio?
5/36, 2:9, 3 to 18, 1:3
5/36
2:9
3 to 18
1:3
Answer: The largest ratio is (d) 1 : 3.
Step-by-step explanation: We are given to select the larges ratio among the given options.
The first ratio is
[tex]\dfrac{5}{36}.[/tex]
The second ratio is
[tex]2:9=\dfrac{2}{9}=\dfrac{2\times 4}{9\times 4}=\dfrac{8}{36}.[/tex]
The third ratio is
[tex]3\textup{ to }18=\dfrac{3}{18}=\dfrac{3\times 2}{18\times 2}=\dfrac{6}{36}.[/tex]
The fourth ratio is
[tex]1:3=\dfrac{1}{3}=\dfrac{1\times 12}{3\times 12}=\dfrac{12}{36}.[/tex]
Arranging all the ratios in ascending order, we have
[tex]\dfrac{5}{36},~\dfrac{6}{36},~\dfrac{8}{36},~\dfrac{12}{36}\\\\\\\Rightarrow \dfrac{5}{36},~\dfrac{3}{18},~\dfrac{2}{9},~\dfrac{1}{3}.[/tex]
Thus, the largest ratio is (d) 1 : 3.
Biff earned $45 working at happy days drive-in. He spent 1/3 of the money on gas for his car and 1/5 of it on the flowers for his girlfriend. How much money does he have left for the big date? I know what the answer is but I do not know how to show my work or explain it. Please show me how you got the answer thank you very much I will make the points on this problem go up!
Answer:
Sorry I don't really know how to explain it but he would have $21 left
Step-by-step explanation:
What is log "small two" (x+2)+log "small two again" (27)
30 POINTS Ivan is saving money to buy a computer with. He started wih $225 in his savings account and the first week he added $75, the second week he added $200, the third week he unfortunately had to take out $50 and the fourth week he added $125. How much more money does he need to save if the computer cost $895?
Show your work.
A) $220
B) $320
C) $420
D) $575
started with 225 added 75
225 +75 = 300 then added 200
300 +200 = 500, took 50 out
500-50 = 450 then added 125
450 +125 = 575
895-575 = 320
Answer is B $320
Answer:
Answer is B $320
Step-by-step explanation:
First the surface area of the cube. Round to the nearest whole number and the next one after that pllzzzzz
The surface area of the cube is approximately 396, and the next whole number after that is 397.
17/7 as a repeating decimal is approximately 2.428571.
To find the surface area of a cube, you need to multiply the side length of the cube by itself, and then multiply the result by 6.
In this case, the side length of the cube is 65/8 cm. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is still 65/8.
To find the surface area, you'll need to calculate (65/8)^2 and then multiply the result by 6.
To square the fraction, you need to square the numerator and the denominator separately.
(65/8)^2 = (65^2)/(8^2) = 4225/64
Now, multiply this result by 6:
(4225/64) * 6 = 25350/64
To round this fraction to the nearest whole number, you divide the numerator by the denominator and round to the nearest whole number.
25350/64 ≈ 396.09375
Rounding this to the nearest whole number, you get 396.
The next whole number after 396 is 397.
Therefore, the surface area of the cube is approximately 396, and the next whole number after that is 397.
Now, let's move on to the next question:
To write the fraction 17/7 as a repeating decimal, you need to perform long division.
Divide 17 by 7:
2.428571...
-14
------
30
-28
------
20
-14
------
60
-56
------
40
-35
------
50
-49
------
10
The division repeats after the first decimal place, with the digits 428571 repeating indefinitely. Therefore, 17/7 as a repeating decimal is approximately 2.428571.
Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 100 meters away. How soon will Sam catch up, if he is running at a speed of 105 meters per minute while Leo is walking at a speed of 65 meters per minute?
Answer:
Sam will catch up his brother in 2.5 minutes
Step-by-step explanation:
Two equations can be written to represent the problem.
Sam: y1 = 105*t
Leo: y2 = 100 + 65*t
where y represent position, in meters, and t is time in minutes. That is, after 1 minute after Sam started to run, Sam will be at 105 meters of distance from the house, and Leo will be at 165 meters of distance from the house.
When Sam catch up Leo, the distance travelled by both equals:
y1 = y2
105*t = 100 + 65*t
105*t - 65*t = 100
40*t = 100
t = 100/40
t = 2.5 minutes
estimate the quotient for 49 / 311
How can I write number 8 in the tens place
what percent of 92 is 23
A dvd case is 9/16 thick. how many of these cases will fit on a shelf that is 1 1/2 ft wide.
Solve for n.
11(n – 1) + 35 = 3n
n = –6
n = –3
n = 3
n = 6
What is the rate of change?
Gradient = rise/run
= 4/1
So, rate of change is 4
Hope this helps!
2 automobiles start together from the same place and travel along the same route. the first averages 40 miles per hour. the second 55 miles per hour. how many miles further along the route is the second auto at the end of 5 hours
What is the greatest common factor of 15 and 20
Answer: 5
Step-by-step explanation: To find the GCF or greatest common factor of 15 and 20, we first list the factors of 15 which are 1, 3, 5, and 15.
Next, we list the the factors of 20 which are 1, 2, 4, 5, 10, and 20.
Finally, we compare the lists to find the largest shared factor which is 5.
So the greatest common factor of 15 and 20 is 5.
Image provided.
What is 2/7 as a percent
When y = 0, the equation becomes 0 = 230 – 45x. Solve this equation for x. What does the solution represent?