Answer:
Given : George is driving at an average speed of 62 miles per hour.
To Find : Write an expression that would give his distance traveled for h hours.
Solution:
Speed = 62 miles/hour
Time = h hours
[tex]Distance = Speed \times Time[/tex]
[tex]Distance = 62h[/tex]
So, an expression that would give his distance traveled for h hours is [tex]Distance = 62h[/tex]
Now we are supposed to Make a table that records his distance for 3, 5.5, 7, and 8.5 hours.
So, At h = 3
[tex]Distance = 62(3)[/tex]
[tex]Distance = 186[/tex]
So, At h = 5.5
[tex]Distance = 62(5.5)[/tex]
[tex]Distance = 341[/tex]
So, At h = 7
[tex]Distance = 62(7)[/tex]
[tex]Distance =434[/tex]
So, At h = 8.5
[tex]Distance = 62(8.5)[/tex]
[tex]Distance =527[/tex]
So, Table :
Hours Distance (miles)
3 186
5.5 341
7 434
8.5 527
List all number sets that apply to each number
Every number belongs to at least one number set, but might also belong to several other sets, depending on its attributes.
Explanation:The question is asking you to categorize numbers into different sets based on their attributes. Let's use the sets S, A, and B from Solution 3.1 as an example.
Set S:{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}. This is a set of all positive integers from 1 to 19.
Set A:{2, 4, 6, 8, 10, 12, 14, 16, 18}, is a set of even numbers from the set S.
Set B:{14, 15, 16, 17, 18, 19} is a set that includes certain numbers from set S that satisfy a given condition.
So, every number belongs to at least one set (set S), but may also belong to multiple other sets (like A and B) depending on its attributes.
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what is the answer to -12x+13x
GIVING BRAINLIEST. A parabola opens to the left. Which could be the equation of the parabola?
A. (x – 4)^2 = 4(y + 3)
B. (x – 4^)2 = –4(y + 3)
C. (y – 4^)2 = 4(x + 3)
D. (y – 4)^2 = –4(x + 3)
Circle A contains all positive odd numbers; circle B contains all factors of 33, and circle C contains all prime numbers. How many numbers belong to all three circles?
Explain your reasoning and include the equation you used to set up and solve this.
Please help!
Which expression shows 12 more than the quotient of 63 and 9. A) 12 + 63 ÷ 9 B12 + 9 ÷ 63 C)(12 + 63) ÷ 9 D)(12 + 9) ÷ 63
The expression which shows 12 more than the quotient of 63 and 9 is option A) 12 + (63 ÷ 9).
We have to find the expression which shows 12 more than the quotient of 63 and 9.
For that, first find the quotient of 63 and 9.
Divide 63 by 9.
63/9 = 7
12 more than the quotient of 63 and 9 = 7 + 12 = 19
So the result is 19.
Now, we have to mathematically write the given word sentence.
12 is added to the quotient of 63 and 9.
12 is added to (63 ÷ 9)
12 + (63 ÷ 9)
Thus, A is the correct option.
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Are rational numbers closed under addition, subtraction, multiplication, and division?
The length of the base of an isosceles triangle is 2cm less than twice the length of any of its equal sides. If its perimeter is 98cm, what is its area?
Which of the following numbers are perfect squares?
27
36
81
108
121
Which two decimals are equivalent to 0.6?
a. 6 and 60
b. 0.06 and 0.060
c. 0.006 and 0.0060
d. none of the above
I will give BRAINLIEST to whoever is correct.
Tom rented a truck for one day. There was a base fee of $16.99 , and there was an additional charge of 90 cents for each mile driven. Tom had to pay $190.69 when he returned the truck. For how many miles did he drive the truck?
At a supermarket, pineapple juice sells at $1 per pint (16 ounces). Greg wants to buy eighteen 40-ounce cans of pineapple juice from the supermarket. How much does he have to pay altogether? Show your work.
At the beginning of January, Mr. Howard gives his niece $1 to start a savings account, for each month that she can triple the amount in the account, Mr. Howard will double the amount in the account at the end of each month. How much does Mr. Howard's niece in her account at the beginning of May?
The requried, at the beginning of May (the fifth month), the niece will have $162 in her account.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
In the first month, the niece has $1 in her account.
In the second month, she triples that amount to have $3, and Mr. Howard doubles it to $6.
In the third month, she triples $3 to have $9, and Mr. Howard doubles it to $18.
In the fourth month, she triples $9 to have $27, and Mr. Howard doubles it to $54.
So at the beginning of May (the fifth month), the niece will have 54×3 = $162 in her account.
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John threw a party for his friends. food, drinks, and a DJ cost $480 for a group of 32 people. Write and solve an equation to find the cost per person
A pentagon with each side measuring 6 inches, a hexagon has 5 inches, which shape has a greater perimeter and explain why?
Write 5.9/100 as a percent.
huuuuuurrrrrrrry please huurrrrrrr math
what ratios are equivalent to 6:8
what is 14 divied by 1162
Answer:
83
Step-by-step explanation:
Enter the sum of the numbers as the product of their GCF and another sum. 49+35. The sum of the numbers as a product of their GCF
Estimate the sum of 400 is seven and 310
Multiply and simplify. A) 36 1/12 B) 36 1/6 C) 41 1/12 or D) 41 1/6
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]
[tex]\mathsf{= \dfrac{12\times3 + 2}{3}\times\dfrac{3\times4+1}{4}}[/tex]
[tex]\mathsf{= \dfrac{36 + 2}{3}\times\dfrac{12 + 1}{4}}[/tex]
[tex]\mathsf{= \dfrac{38}{3}\times \dfrac{13}{4}}[/tex]
[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]
[tex]\mathsf{= \dfrac{494}{12}}[/tex]
[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]
[tex]\mathsf{= \dfrac{247}{6}}[/tex]
[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{41 \dfrac{1}{6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 12\frac{2}{3} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{12\times3+2}{3}\times3\frac{1}{4} \ \to \ \ Multiply \ 12\times 3 }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{36+2}{3}\times3\frac{1}{4} \ \to \ \ Add \ 36+2 }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times3\frac{1}{4} }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 3\frac{1}{4} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{3\times4+1}{4} \ \ \to \ \ Multiply \ 3\times 4}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{12+1}{4} \ \ \to \ \ Add \ 12+1}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{13}{4}}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule:\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}. \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38\times13}{3\times4} \ \ \to \ \ Multiply }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Simplify \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{492}{12}=\frac{247}{6}= }} \end{gathered}$}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{41\frac{1}{6} }} \end{gathered}$}}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Therefore,the \ \bf{\underline{correct \ option}} \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"D"}.} \end{gathered}$}[/tex]
4⁄6 + 2⁄4 + 3⁄5 please answer my question
Rhonda deposited $4,227.29 into a savings account with an interest rate of 4.9% compounded monthly. About how long will it take for the account to be worth $9,000?
To find how long it will take for $4,227.29 to grow to $9,000 with a 4.9% interest rate compounded monthly, we use the compound interest formula rearranged to solve for time. The calculation involves using the natural logarithm to find the number of years required for the investment to reach the target amount.
Explanation:The question pertains to determining how long it will take for a sum of money, specifically $4,227.29 deposited into a savings account with a 4.9% interest rate compounded monthly, to grow to be worth $9,000. We can use the formula for compound interest to solve for the time period required for the investment to reach the desired amount. This formula is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial sum of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
To find the time (t), we rearrange the formula: t = [log(A/P)] / [n*log(1 + r/n)]
Calculate the monthly interest rate r/n: 0.049/12Substitute the values into the formula:P = $4,227.29A = $9,000r = 0.049n = 12Use a calculator to compute the time t.The calculation will provide the time in years, which can be multiplied by 12 to convert it to months, in case the answer is needed in months.
Mr chandler had some candy to give to his four children. he took ten pieces for himself and then evenly divided the rest among his children. each child received two pieces. how many pieces did he start with?
1 plus one is to yay its correct
if you pay 5% sale tax on three items have you paid a total of 15% sales tax? why or why not
troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of gas in troy' s truck after driving a certain number of miles (assuming he starts with a full tank).define your variables.
Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops nationwide. During the next 10 years, the bakery had to close down a few shops, and the total revenue in 2010 from 5,152 shops was $6.7 billion. What was the average revenue in 2000 per shop?
Answer:
$1797914.419
Step-by-step explanation:
Given : Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops nationwide
To Find:What was the average revenue in 2000 per shop?
Solution:
Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops
So, the average revenue in 2000 per shop =[tex]\frac{10000000000}{5562}[/tex]
=[tex]1797914.419[/tex]
Hence the average revenue in 2000 per shop was $1797914.419