Aidan's average speed on his drive home is 26 2/3 miles per hour
What is Aidan's average speed?
Average speed is the total distance travelled per time. It indicates how fast an object is moving.
Average speed = total distance / total time
The first step is to determine the time it would take Aidan to drive to school :
Time = distance / speed
16 / 40 = 2/5 hours = 2/5 x 60 = 24 minutes
The second step is to determine the time it would take Aidan to drive from school
Time it would take to drive home from school = 60 minutes - 24 minutes = 36 minutes = 36/60 = 3/5 hours
Aidan's average speed to drive home = 16 miles ÷ 3/5
16 x 5/3 = 80 / 3 = 26 2/3 miles per hour
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Answer:
answer is 27 B, on edge.
Step-by-step explanation:
Use Pythagorean Theorem to solve for D. Round your answer to the nearest tenth
A. 12.6
B. 18.9
C. 13.2
D. 19.1
Answer:
18.9
Step-by-step explanation:
hope this helps
Maria solved an equation as shown below.
3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.
What is the solution to Maria’s equation?
19
38
no solution
infinitely many solutions
Answer:
19
Step-by-step explanation:
3 (x + 6) = 5 (x - 4).
3x + 18 = 5x - 20.
38 = 2 x.
19 = x.
Answer:
19
Step-by-step explanation:
Paige solved the inequality 2x >-6 by using the Division Property of Inequality to get x > 12. Did Paige solve the inequality correctly? Explain why or why not.
Answer:
No
Step-by-step explanation:
correctly used the division property of inequality but did not do the arithmetic correctly.
2x > - 6 ( divide both sides by 2 )
x > - 3
What is the slope of a line that passes through point A(-2,-1) and D(3,5)
Answer:
Slope is 6/5
Step-by-step explanation:
slope=y2-y1/x2-x1
so (5-(-1))/(3-(-2))
(5+1)/(3+2)
6/5
slope is m
y=mx+b
y=6/5x+b
Answer:
[tex]m=\frac{6}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point A (-2, -1)
Point D (3, 5)
Step 2: Find slope m
Substitute: [tex]m=\frac{5+1}{3+2}[/tex]Add: [tex]m=\frac{6}{5}[/tex]PLS, I NEED HELP!!! 7TH GRADE MATH
Answer:
A. TRUE
B. FALSE
C. TRUE
D. TRUE
can anyone help on this?
Answer: A
Step-by-step explanation:
Can someone help me this math question
Use the distributive property to write an equivalent expression.
6(y-8z+7)
6(y−8z+7)
Answer:
6y - 48z + 42
Step-by-step explanation:
6 ( y - 8z + 7 )
= 6y - 48z + 42
Write a polynomial of least degree in standard form that has real coefficient, a leading coefficient of 1 and zeros at 1,-2, and 3i
Answer:3i
Step-by-step explanation:
Which equation has no solution?
O l-2x + 81 = 0
O [3x + 61 = 6
o 14x - 2) = -6
O 1-2 - x| = 9
Answer: |4x-2|=-6
Step-by-step explanation:
This has no solution
The equation that has no solution is | 4x - 2 | = -6.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
| -2x + 8 | = 0: This equation has only one solution, which is x = 4. When we take the absolute value of any number, the result is always non-negative (i.e., greater than or equal to zero).
Therefore, the absolute value of -2x + 8 can only be zero if -2x + 8 itself is zero. Solving for x, we get x = 4.
| 3x + 6 | = 6: This equation has two possible solutions, which are x = 0 and x = -4. When we take the absolute value of 3x + 6, the result can be either positive or negative, depending on the value of x.
Therefore, we need to solve two separate equations: 3x + 6 = 6 and 3x + 6 = -6. Solving for x in each case, we get x = 0 and x = -4.
| 4x - 2 | = -6: As I mentioned in my previous answer, this equation has no solutions.
An absolute value cannot be negative or equal to a negative number, so there is no value of x that would make the left-hand side of the equation equal to -6.
| -2 - x | = 9: This equation has two possible solutions, which are x = -11 and x = 7. When we take the absolute value of -2 - x, the result can be either positive or negative, depending on the value of x.
Therefore, we need to solve two separate equations: -2 - x = 9 and -2 - x = -9. Solving for x in each case, we get x = -11 and x = 7.
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Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
What is the answer to (3-4i)(5+6i)
Answer:
39 - 2i
Step-by-step explanation:
First, you need to FOIL the equation:
[tex](3 - 4i)(5 + 6i) \\15 + 18i - 20i - 24i^2\\15 - 2i - 24(-1)\\15 - 2i + 24\\39 - 2i\\[/tex]
Remember that [tex]i^2[/tex] equals -1.
Therefore, the answer to this question is 39 - 2i
I hope this helps!!
- Kay :)
I need some help lol
Write 7,250,000,000 in scientific notation.
Answer:
[tex]7.25*10^{9}[/tex]
Step-by-step explanation:
To write a number in scientific notation, you need to reduce the number to one which is between 0 and 10.
In this case, 725 and 72.5 aren't possible as they are more than 10.
7.25 is the number we want. So simply count the number of decimal places you need to move in order to turn 7,250,000,000 into 7.25.
7,250,000,000.0
725000000.00
7250000.000
725000.0000
72500.00000
7250.000000
725.0000000
72.50000000
7.250000000
In this case, it is 9.
Garrett's gym class is running a relay race. Each team of 4 students runs a total of 1.6 kilometers. If every student runs the same distance, how many meters does Garrett run?
Answer:
0.4 km
Step-by-step explanation:
1.6/4 = 0.4
Answer: .4 kilo.
Explanation: A team of four runs a total of 1.6 kilo, Garrett included in that. Divide 1.6 by 4 to get .4. 0.4 kilometers.
Mark brainless if correct
Type the correct answer in each box. Use numerals instead of words for numbers. If necessary, use / for the fraction bar(s).
The amount of time it takes a water pump to empty a tank varles directly as the capacity of the tank. If it takes a water pump 2.5 hours to empty
a tank containing 60,000 gallons of water, how long does it take the same pump to empty a tank containing 108,000 gallons of water?
It will take {BLANK} hours to empty the second tank.
Answer: 4.5 hours
Step-by-step explanation:
First you put 60000 and change 2.5 hours into minutes then divide by that, inwhich you get 400. After getting 400 divide 108000 by 400 which equals 270, divide by 60 for hours.
It would take the same pump 4.5 hours to empty a tank containing 108,000 gallons of water.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. An expression can also include mathematical functions, parentheses, and other symbols.
Let x be the amount of time (in hours) it takes the pump to empty a tank containing 108,000 gallons of water.
Using the direct variation formula, we can write:
time = k x capacity
Where k is the constant of variation.
We can use the given information to find k:
2.5 = k x 60000
k = 2.5 / 60000
k = 0.00004167
Now we can use this value of k to find x:
x = k x 108000
x = 4.5
Therefore, it would take the same pump 4.5 hours to empty a tank containing 108,000 gallons of water.
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estimate the value of the square root of 40 to the nearest tenth
Answer:
The answer is √40 = 6.32455532033676.
Step-by-step explanation:
To check that the answer is correct, use your calculator to confirm that 6.32 is about 40.
x2 + 13x = -22 solve for x
An employee receives a 2% raise once per year. If the employee's initial salary is $52,400.00, What will the employee's salary be after 16 years?
The employee will receive a percentage raise after 16 years is $69,168
How to calculate the employee salary after 16 years ?The first step is to calculate the percentage raise of the salary per year
= 2/100 × 52,400
= 0.02 × 52,400
= 1,048
The next step is to multiply 1,048 by the number of years
= 1048 × 16
= 16,768
The salary after 16 years can be calculated as follows
= 52,400 + 16,768
= 69,168
Hence the employee salary after 16 years is $69,168
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The student council bought 400 sweatshirts, 650 T-shirts, and 1100 notebooks to sell during the school year. At the end of the year the council had 96 sweatshirts, 139 T-shirts, and 227 notebooks left. How many items did they student council sell during the school year?
Answer:
1,688 items
Step-by-step explanation:
So they had at total of 2,150 items at the start of the year. They had 400 sweatshirts, now they have 96(a decrease of 304), 650 T-shirts now they have 139(a decrease of 511), and 1100 notebooks to 227(a decrease of 873). They now have 462 items left. This means that they sold 1,688 items.
Hope this helps.
Which of the k values are solutions to the following equation?
k2 = 0.49
PLZZZ HELP ME WITH THIS MATH
Answer: -2/3
Step-by-step explanation: Rise/run
The three line segments dividing the two sides of the triangle shown are parallel to the base of the triangle.
Lily wants to buy a cow but can't afford the $25 it costs. Later in the year it is at an affordable $15 and Lily can buy it. What percentage of a
discount was on the cow? Please explain :)
Answer:
There was 60% discount on the cow.
Step-by-step explanation:
Cost of cow = $25Latest price = $15Discount can be calculated by dividing the latest price by the original price and multiplying by 100.
Thus,
percentage discount = 15/25 × 100
= 0.6 × 100
= 60%
Thus, there was 60% discount on the cow.
can someone help, and explain how to do this, it would be greatly appreciated
Answer:
14
Step-by-step explanation:
EG is the full segment and is is stated that F is the midpoint which means it divides the full segment into two equal parts.
So the value of the full segment is given as 28 then the half of the segment, from E to F, would be 14.
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sale dollars that she sells. What is Elena's earnings for a month in which she has sales of $32,000?
Answer:
4060
Step-by-step explanation:
because 8 percent of 32000 is 2560.
then you add 2560 and 1500 and you get 4060!
hope this helps!!
could someone explain please? i will give brainliest thank you so much.
Answer:
Answer is A.44
Step-by-step explanation:
So we multiplying 18*2 to find a measure 18*2=36
so we know that 18*2 is equal to 36 but we now that we have 13 so. we take 36+12=44
Write an equation to represent the table. (1 point)
Boxes of Candy
5
7
9
Pieces of Candy
80
112
144
9514 1404 393
Answer:
pieces of candy = 16 × boxes of candy
Step-by-step explanation:
Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...
pieces of candy = 16 × boxes of candy
__
If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...
y = 16x
2(5x + 3) -x + 3 = 18
Answer:
x = 1
Step-by-step explanation:
-g+2(3+g)=-4(g+1) answer please?
Answer:
3+g=- 134
Step-by-step explanation: