Sarah and Connor went bowling together. Sarah rented bowling
shoes and played three games, for a total cost of $9.50. Connor
rented bowling shoes and played five games, for a total cost of
$14.50.
How much does it cost to rent bowling shoes?
Answer: The cost to rent bowling shoes is $2.
Step-by-step explanation:
Let's define:
S = cost for renting bowling shoes.
G = cost per game.
Then if you rent shoes, and play x games, the total cost is:
C = S + x*G
We know that Sarah rented the shoes and she played 3 games, paying a total of $9.50, then:
C = $9.50 = S + 3*G
We also know that Connor rented the shoes and played 5 games, with a total cost of $14.50
C = $14.50 = S + 5*G
Then we have a system of equations.
$9.50 = S + 3*G
$14.50 = S + 5*G
To solve this, we first need to isolate one of the variables in one of the equations. I will isolate S in the first one:
S = $9.50 - 3*G
Now we can replace this on the other equation:
$14.50 = ($9.50 - 3*G) + 5*G
$14.50 - $9.50 = 5*G - 3*G
$5 = 2*G
$5/2 = G
$2.50 = G
Then each game costs $2.50
The cost to rent bowling shoes can be found with any of the two equations, for example i will use:
S = $9.50 - 3*G
Where we replace G by the value we found above.
S = $9.50 - 3*$2.50 = $2
S = $2.
The cost to rent bowling shoes is $2.
Which function is graphed below?
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
Find the area of the shape
Answer:
I think the answer is 672 please be right
Bro pls help em bro pls help me bro
Answer:
Step-by-step explanation:
How do I divide this ?
In how many ways can you place the three kangaroos in three different cells, out of the seven cells below, so that no two kangaroos are neighbors?
Answer:
we need a picture to answer the question correctly
Step-by-step explanation:
What is 10/12 - 4/12?
the answer is 1/2.
if you simplify 3/6 you can find the solution.
Answer:
1/2
Step-by-step explanation:
the fractions have like denominators, so subtract the numerators
10-4/12 = 6/12
simplify
6/12 = 1/2
I NEED HELP NOW PLEASE
Answer:
y-3=x
so the value of y is 3 more than x. displaying the drop down menu would help narrow down the options, but I hope this helps
Seven days ago, the gas tank on Rosa's car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. a. What integer represents the change of gasoline in the past seven days? b. What is the mean change in gasoline in gallons per day? c. What is the fuel efficiency, in miles per gallon, of Rosa's car if she drove 490 miles in the past seven days?
Answer:
Answer: -14 gallons. Given : Seven days ago, the gas tank on Roses car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. ∵ 20> 6 , it means there is decrease in the amount gasoline.
Step-by-step explanation:
Your welcome :)
2/3,5/8,11/77,7/8 whicj is the intruder and why?
Answer:
77
Step-by-step explanation:
A diamond is valued at $575 in 2019, and $700 in 2020. What is the percent increase in the value of the diamond?
Answer:
17.85% for 1 year
Step-by-step explanation:
700-125 = 125125 ÷ 700 = 0.1785% = ×1000.1785 = 17.85%HELLPP! SOMEONE HELLPPPP : /
Answer:
4e²f(5e³f-4)
Step-by-step explanation:
18. A circle has a circumference of 37.68 inches. Follow the steps below to find its radius. Use
3.14 for
2. Fill in the blanks, using the formula C = dr.
b. Solve ford by dividing both sides by 3.14.
What does the answer in part b represent?
d. What is the length of the radius of the circle?
Answer:
C = dπ
37.68 = d(3.14)
d = 12 inches
2r = d
2r = 12
radius = 6 inches
Find the measure of
Answer:
the measure of what?????
What is the height of cylinder pictured below?
144
12
8
54
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation:
Write result in standard notation
Answer:
7.5 * 10 ^- 4
Step-by-step explanation:
what is the answer to this? x+2x+5
Answer:
3x+5
Step-by-step explanation:
You just have to combine like factors.
Hope this helps! Have a good day!
ill mark brainlist plss help
Answer:
222 ft
Step-by-step explanation:
add 15 ft to each side of the length and width
L = 28 + 30 = 58
W = 23 + 30 = 53
perimeter = 2(L + W) = 2(58 + 53) = 222 ft
Answer:
222 ft
Step-by-step explanation:
The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing
Formula to find total amount with 10% TSA and 13%VAT
Answer:
23 because i know it i have done that
Step-by-step explanation:
Grace is going to invest in an account paying an interest rate of 3.8% compounded
continuously. How much would Grace need to invest, to the nearest cent, for the
value of the account to reach $46,000 in 13 years?
PLEASE HELP ME URGENT
Answer:
P≈28068.32
Step-by-step explanation:
Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.
We have given that,
Grace is going to invest in an account paying an interest rate of 3.8% compounded continuously.
We have to determine how much would Grace need to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years.
What is the formula of a compounded continuously?
[tex]A=Pe^{rt}[/tex]
A=46000, t=13 ,r=0.038
[tex]Pe^{0.039\left(13\right)}=46000[/tex]
[tex]Pe^{0.039\left(13\right)}=46000[/tex]
[tex]\frac{Pe^{0.039\cdot \:13}}{e^{0.507}}=\frac{46000}{e^{0.507}}[/tex]
[tex]P=\frac{46000}{e^{0.507}}[/tex]
[tex]\quad P=27705.78944[/tex]
Therefore, Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.
To learn more about the account balance visit:
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According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
Please help
Due today
Answer:
sorry I've confused myself now and I don't want to give you a wrong answer
Step-by-step explanation:
Write an equation that represents the line.
Answer:
theres no graph though...
Step-by-step explanation:
id love to help
Which statements about the values 0.034 and 3.40 are true?
Answer:
Hope this helps! If I can have brainliest I'm trying to rank up.
Step-by-step explanation:
3.4 is 100 times more than 0.034.
0.034 is 1/100 of 3.4.
We look at the statements about the values of 0.034 and 3.40 are true.
0.034 times 100 = 3.4 , When we multiply by 100 we move the decimal point two units to the right .
So, 3.4 is 100 times more than 0.034.
3.4 times 1/100 = 0.034 , When we divide by 100 we move the decimal point two units to the left .
So, 0.034 is 1/100 of 3.4
What is the total volume of the snow used to make the snowman if the head is 12 inches wide, the middle is 16 inches wide, and the bottom is 18 inches wide (use 3.14 for pie)
5,903.13
7,459.36
9,340.25
6,099.97
17 POINTS!
Answer:
D. 6099.97
Step-by-step explanation:
I took the quiz
if x² =61base 8 find x
Answer:
x = + 7 or -7
Step-by-step explanation:
61 base 8 = 6*8+1 base 10 = 49
x^2=49
x = + 7 or - 7 base 10
x = + 7 or -7 base 8
3.6 + t = 4.5
please answer this
Answer: t= 0.9
Step-by-step explanation:
3.6+t=4.5
Subtract 3.6 from both sides
This is hella easy got more like these if so keep em coming
You spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. How much are the monthly payments?
Answer:
100$
Step-by-step explanation:
400/4 = 100
HOPE THIS HELPS
Plzz mark brainliest
If spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. Then $400 is the monthly payments
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Spent $2000 on new furniture.
The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments
The remaining balance can be calculated
$2000-$400=$1600
Now $1600 is to be paid in four months
Divide $1600 by 4 as we have to pay it in 4 months
1600/4
400 per month.
Hence $400 is the monthly payment.
To learn more on Equation:
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Please answer
Will give brainlst
Answer:
Step-by-step explanation:
root(23) - 8 < root(23) - 3 -3 is greater than -8
3 root(62) > 3 root(59) 62 > 59 Since the numbers are positive the roots of the larger number is going to be larger than the roots of the smaller number
-root(50) < - 3
The root of 50 is about 7. - 7 is smaller than - 3. Think money. Would you rather pay 3 dollars for a cup of coffee than 7 dollars for a cup of coffee?
root 15 + 2 < root(65) - 1
root(15) is roughly 4 when 2 is added to it, the result is about 6
root (65) is a touch over 8. When 1 is subtracted the result is about 7.
That's larger than the left side.
I need help on this problem please help!!
Explanation:
Every time the top numbers go up by one ...
The bottom numbers go up by two.
Step-by-step explanation:
1/5:2/5:3/5:4/5:5/52/5:4/5:6/5:8/5