A car travels at a constant speed. What is the car's speed between checkpoints, expressed as a unit rate? Use the information given in the picture.
Answer:
The unit rate is 44 miles per hour.
Step-by-step explanation:
The difference between both the checkpoints is given by:
[tex]208-120=88[/tex] miles driven
Time taken to travel 88 miles = [tex]3-1=2[/tex] hours
As the car travels at a constant speed, so we get 88 miles driven in 2 hours.
Hence, per hour distance covered is = [tex]\frac{88}{2}=44[/tex] miles per hour.
Tyler and his family drove from Atlanta to Baltimore. They traveled a total of 678 miles over 2 days. What is the reference point in this scenario?
Answer:- Atlanta is the reference point in this scenario.
Explanation:-
A reference point is a stationary place in a scenario which is used for comparison to determine if something is in motion. An object is in motion if it changes position respective to a reference point.
From the given situation, the reference point is Atlanta because Atlanta is the starting point such that the distance and time are computed from that point.
Answer: Altanta
Step-by-step explanation:
how do phospholipid molecules lead to the compartmentalization of a cell?
if the perimeter of a square room is 120 feet how long is each side of the room
What is greater than 0.1 and less than 0.2.
Answer:
0.2 > 0.15 > 0.1
Step-by-step explanation:
50 POINTS #1-12 PLEASE have a great day☺️
Shelly has a cell phone plant that cost $9.99 per month plus $0.05 per minute. Her total bill for the month is $25.59. Write an equation and solve the equation to find how many minutes she used for the month
Aiden weighs 39 pounds less than his older brother, Jacob. Jacob weighs more than 100 pounds. what could be the weight of the Two brothers?
We can determine that Jacob's weight is any number greater than 100 pounds, and Aiden weighs 39 pounds less than Jacob. Without an exact weight for Jacob, we cannot provide precise weights, only a possible range for both brothers.
To solve the question regarding Aiden and Jacob's weight, we can set up a simple algebraic equation. If Aiden weighs 39 pounds less than Jacob, and Jacob weighs more than 100 pounds, we can use variables to represent their weights.
Let's let J represent Jacob's weight. Therefore, Aiden's weight is J - 39 pounds. We're told that Jacob weighs more than 100 pounds, so J > 100.
For example, if Jacob weighed 110 pounds (which is more than 100 pounds), then Aiden would weigh 110 - 39 = 71 pounds. However, since we don't have an exact weight for Jacob, we cannot determine the exact weights but we can provide a range. Jacob's weight is any number greater than 100 and Aiden's weight is always 39 pounds less than Jacob's weight.
At the market 8 apples cost $4 how much do 9 apples cost ?
Answer:
$4.5.
Step-by-step explanation:
We have been given that at the market 8 apples cost $4.
Let us find the cost of 1 apple by dividing total cost of apples by total number of apples.
[tex]\text{Cost of 1 apple}=\frac{\$4}{8}[/tex]
[tex]\text{Cost of 1 apple}=\$0.5[/tex]
To find the cost of 9 apples we will multiply cost of 1 apple by 9.
[tex]\text{Cost of 9 apples}=\$0.5\times 9[/tex]
[tex]\text{Cost of 9 apples}=\$4.5[/tex]
Therefore, the cost of 9 apples will be $4.5.
According to the question,
Cost of 1 apple will be:
= [tex]\frac{4}{8}[/tex]
= [tex]0.5[/tex] ($)
hence,
The cost of 9 apples will be:
= [tex]0.5\times 9[/tex]
= [tex]4.5[/tex] ($)
Thus the above answer is correct.
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Death valley, California, has the lowest elevation in the united states.its elevation is 282 feet below sea level. Mount Mckinley, Alaska, has the highest elevation in the united states. Its elevation is 20,320 feet above sea level. Use integers to describe these two locations in the united states.
Answer:
1. the answer is -282 because it says that it is velow sea level
2. the answer is 20320 becase it say that it is above sea level
Find the quotient 42j^4 k^2÷(-3j^3 k)
Answer:
[tex]-14jk[/tex]
Step-by-step explanation:
We are asked to find the quotient of our given expression [tex]42j^4k^2\div -3j^3k[/tex]
First of all, we will write our given problem as a fraction.
[tex]\frac{42j^4k^2}{-3j^3k}[/tex]
Using exponent property [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]\frac{42}{-3}(j^{4-3}k^{2-1})[/tex]
[tex]-14j^{1}k^{1}[/tex]
[tex]-14jk[/tex]
Therefore, the quotient of our given problem is [tex]-14jk[/tex].
Last year a company made a net profit of $20,000 on sales of $1,000,000. This year they made a net profit of $40,000 on sales of $1,000,000. When talking to the shareholders, they claimed that their profit increased by 100%, and asked for a bonus for doing so well. When talking to the union about a possible wage raise, they claimed that their profit only increased by 2%, which hasn't even kept up with inflation. How did they determine these figures? Which one do you think is correct?
find the error and the correct answer
thx
Answer:
Only 6x6. It equals 36. This is the only thing I found was incorrect. Practice Multiplication!
Step-by-step explanation:
6x5= 30
30+6 = 36
.62 nearest hundredth
Answer:
The number nearest hundredth is 0.62.
Step-by-step explanation:
Given : Number 0.62.
To find : The number nearest hundredth ?
Solution :
The place value system of decimal number is
Ones Tenth Hundredth
0 6 2
The numbers is also written as 0.620.
If last digit is less than 5 number remain same.
If last digit is greater than 5 the number increase by 1.
As 0 <5 the number remain same.
Therefore, The number nearest hundredth is 0.62.
what is the change in ms.thomas saving account balance each month due to her car payment?
-2,931 -362
This number is 500 thousandths less than 2.845
Elijah is planning a picnic. He will invite twice as many boys as girls. If he invites 18 people, how many boys and how many girls will get invitations?
The question is about ratios. Based on the condition, Elijah invited twice as many boys as girls which makes up a total of 18 people. We find out that Elijah invited 6 girls and 12 boys.
Explanation:This is a mathematical problem dealing with ratios. From the question, we know that Elijah plans to invite twice as many boys as girls, and the total number of guests will be 18 people.
Assume the number of girls Elijah is inviting is x. Therefore, the boys will be 2x (twice the number of girls).
Now, we form an equation which is the total number of people: x (girls) + 2x (boys) = 18. Solving for x, we get x = 6. So Elijah is inviting 6 girls and 2*6 = 12 boys.
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There were 9068 people at a concert. An equal number of people sat in each of 4 sections. How many people sat in each section?
Which of them does not show the commutative property of addition ?
Find the value of X
how do I find the value of it
To find the value of x, we use the quadratic formula on the equation x² + 0.00088x - 0.000484 = 0, resulting in two possible values for x, with the positive value being the valid solution in real-life contexts. In chemical equilibrium problems, the positive value is used to further calculate important quantities like pH.
Explanation:To find the value of x, we use the quadratic formula. Given the equation x² + 0.00088x - 0.000484 = 0, we can calculate the values for x that satisfy the equation. After applying the quadratic formula, we find two possible values for x, which are x = -0.0024 or x = 0.00139. However, in a real-life context, such as a chemical equilibrium problem, a negative concentration does not make sense. Therefore, we can disregard the negative value and conclude that x actually equals 0.00139.
In problems where x represents a concentration, once we've determined x = 0.0021, we could use this to calculate the concentration of H3O+, which would allow us to find the pH of the solution by plugging this concentration into the pH equation.
When defining what x represents, such as in a statistical context where we might be interested in the number of students who do their homework on time, x would be defined differently. It is essential to understand the context of a problem to accurately determine what x signifies and how to solve for it.
The gazelle football team made 5 plays, gaining 4 yards on each play . then they made 4 plays, loosing 10 yards on each play . What was the total change in their positions from where they started ?
Final answer:
The gazelle football team gained 20 yards initially and then lost 40 yards, resulting in a total change in position of -20 yards, ending up 20 yards behind their starting point.
Explanation:
The total change in position for the gazelle football team is determined by the yardage gained and lost during the different plays. Initially, the team gains 4 yards on each of 5 plays, which totals to 4 yards/play × 5 plays = 20 yards gained.
Then, the team loses 10 yards on each of 4 plays, which totals to 10 yards/play × 4 plays = 40 yards lost. To find the overall change in position, we subtract the yardage lost from the yardage gained: 20 yards gained - 40 yards lost = -20 yards.
Therefore, the total change in position from where they started is -20 yards, meaning that they ended up 20 yards behind where they started.
A company rents out 15 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $5 per day. The fee for a game booth is $50 plus $7 per day. The fair lasts for 'd' days, and all the booths are rented for the entire time. Write and simplify an expression for the amount in dollars the the company is paid.
mrs. perfilio loves math games one morning she challenged her husband to solve this multiplication problem As quickly as possible 1 × 2 × 3 × 4 Times 5 × 6 × 7 × 8 × 9 × 0 how long will it take you to solve this multiplication problem
Multiplication of the given numbers will be zero.
Given expression in the question,
[tex]1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9\times 0[/tex]As we know that multiplication of any number by zero results 0.
Therefore, expression given in the question will result 0.
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write an expression representing the unknown quantity. at a recent motorcycle rally the number of men exceeded the number of women by 300. if x represents the number of women, write an expression for the number of men. the number of men can be represented by the the expression
The mathematical expression for the quantity of men at the motorcycle rally, given that the count of men exceeds by 300 the quantity of women represented as 'x', is 'x + 300'. This indicates that by adding 300 to the value quantified as 'x' one can deduce how many men were present.
Explanation:In this context, your objective is to write a mathematical expression for the number of men present at the motorcycle rally, given that this number exceeds women's by 300 and the number of women is denoted as 'x'.
The way to approach this is relatively straightforward. Since the number of men exceeds women's by 300, that means if you take the number of women (x) and add 300, you'll get the number of men. Hence, the expression you are looking for is x + 300 , where x is the number of women.
This means, for instance, if there were 200 women present, you'd have 200 (women) + 300 (the excess number of men) = 500 men. Therefore, no matter what number 'x' represents, you can always find the number of men by adding 300 to it.
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What is the value of n ?
3 outside angles = 360
n = 360 - 133-142
n = 85
how many hours is it to 11:00 to 3:30
The Vega family has 3 year cellphone contract. Javier Vega says that the family gets a total of 3x10(4) minutes of talk time to share during the three years. Is havier correct
Vega says that the family gets a total of 120 minutes of talk time to share during the three years.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that Vegas has a three-year mobile contract. According to Javier Vega, the family receives a total of 3 × 10(4) minutes of talk time to share over the course of three years.
As per the given information, the solution would be as:
⇒ 3 × 10(4)
⇒ 40(3)
⇒ 120
That is how the Vega family has 120 minutes left on their three-year contracts.
Therefore, Vega says that the family gets a total of 120 minutes of talk time to share during the three years.
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Identify the type of transformation given the rule R(x, y) = (–x. –y). a. horizontal translation c. reflection across the x- or y-axis b. vertical translation d. 180° rotation
If a man runs for a nd hour and a half at 8 miles an hour due South; and he continues south on a bus traveling at 55 miles an hour, for 24 minutes. How far did he travel
he ran 8 * 1.5 = 12 miles
the bus went : 55 * 24/60 = 22 miles
12 +22 = 34 miles total
estimating quotients with 2 digit divisors 567÷82