Answer: Explanation is given below.
Step-by-step explanation: Given that Patti is using mental mathematics to evaluate the expression (70+12.8+30)+6.1 and recognises that it will be easier to simplify if she can combined 70 and 30 in the beginning. We are to explain the way in which the properties of operation allow Patti to take that approach.
We will be using the following associative property of real numbers:
[tex](a+b+c)+d=(a+c)+(b+d).[/tex]
Therefore, the simplification is as follows:
[tex](70+12.8+30)+6.1\\\\=(70+30)+(12.8+6.1)\\\\=100+18.9\\\\=118.9.[/tex]
Hence explained.
Answer:
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1
( D )
One wintry week a ski town got 15 1/2 inches of snow. On Monday the town got 2 3/4 inches on Tuesday it got 1 1/2 times as much and on Wednesday it got 7/8 inch. How much snow did the town get for the rest of the week
The quotient of 3,200 and 4 will have -blank- zeros.
A. one
B. two
C. three
D. four
What's the slope (0,4) and (-8,-1)
slope = y2-y1 over x2-x1
-1 - 4= -5
-8-0 - -8
so you get -5/-8
negative divided by negative = positive
slope = 5/8
It took Lou 2 1/2 gallons of paint to paint one fence. How many gallons of paint will it take Lou to paint 6 fences that are the same size? Express your answer in simplest form.
15 Gallons. 2 1/2 * 6 = 15. 2, 6 times is 12. 1/2, 6 times is 3.
12 + 3 = 15.
Answer: 15 Gallons.
You own and operate a small pizza shop. the shop has been profitable but it needs renovation. you start the renovation only to discover that a pizza chain has bought a vacant building two blocks away and plans to open a shop within 120 days. undoubtedly, competition will intensify. you decide to accelerate renovation work. you are trying to
A punter kicks a football upward with an initial velocity of 48 feet per second. After how many seconds does the ball hit the ground? use the formula h=rt-16t^2, where h represents height in feet and r represents the initial velocity (rate) in feet per second.
It would take 3 seconds for the ball to hit the ground
Given the initial velocity r = 48 feet per second feet per second, for the football to hit the ground, the height h will be 0.
Now, substitute the values, we have;
0 = 48t - 16t²
collect the like terms and rearrange to a quadratic equation, we get that;
16t² - 48t = 0
Now, we have to factor out the common term from the equation which is 16t, we have then that;
16t(t - 3) = 0
t- 3 = 0
collect the like terms, we get;
t = 3 seconds
Keira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints used for each mix and connected them using a line segment, as shown in the graph below:
Line graph Color Mix, Quantity of Blue Paint, in mm, on X axis and Quantity of Red Paint, in mm, on Y axis. X axis has a scale from 0 to 9 increments of 1. The Y axis has a scale of 0 to 18 increments of 2. Straight line connecting 3, 2 and 7, 12
Which statement best describes the domain of the function represented in the graph?
3 ≤ x ≤ 12 or x is between 3 and 12, inclusive
3 ≤ x ≤ 7 or x is between 3 and 7, inclusive
2 ≤ x ≤ 12 or x is between 2 and 12, inclusive
2 ≤ x ≤ 7 or x is between 2 and 7, inclusive
The most accurate statement is 2 ≤ x ≤ 12 or x is between 2 and 12, inclusive.
The statement that best describes the domain of the function represented in the graph is 2 ≤ x ≤ 12 or x is between 2 and 12, inclusive.
The domain of a function refers to all the possible input values (in this case, the quantity of blue paint) for which the function produces an output (the quantity of red paint).
Looking at the graph, we can see that the line segment starts at a blue paint quantity of 2 and ends at a blue paint quantity of 12.
Since the endpoints are included in the line segment, we know that the function is defined for all blue paint quantities between 2 and 12, inclusive.
Therefore, the most accurate statement is 2 ≤ x ≤ 12 or x is between 2 and 12, inclusive.
For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.
y = -4x + 3
(-1, 1)
(0, -3)
(1, -1)
(2, 10
Answer:
c
Step-by-step explanation:
y=5mx+8b solve for x
wich distance .easure 7 units
m/6n ÷ 7m/3n PLEASE HELP!
2bx-be=-8 what is the answer for this question
During a canned food drive, Bob collected 6 times as many cans as Tom. If t represents the number of cans that Tom collected, which algebraic expression represents the number of cans that Bob collected?
The algebraic expression that represents the number of cans that Bob collected, given that t represents the number of cans that Tom collected, is 6t.
Explanation:The algebraic expression that represents the number of cans that Bob collected, given that t represents the number of cans that Tom collected, is 6t. Since Bob collected 6 times as many cans as Tom, we can multiply the number of cans Tom collected by 6 to get the number of cans Bob collected.
If Bob collected 6 times as many cans as Tom, and if we represent the number of cans Tom collected with the variable t, then the algebraic expression that represents the number of cans that Bob collected is 6t. This is because if Tom collected t cans, then Bob, having collected 6 times more, would have collected 6 multiplied by t, which is simply represented as 6t.
The algebraic expression that represents the number of cans that Bob collected is 6t.
Explanation:The algebraic expression that represents the number of cans that Bob collected is 6t. Since Bob collected 6 times as many cans as Tom, we can represent the number of cans that Bob collected by multiplying Tom's number of cans by 6. Hence, if t represents the number of cans that Tom collected, the expression 6t represents the number of cans that Bob collected.
Saline solution A is 10% strength and saline solution B is 5% strength. I have an order for 6 litres of an 8% saline solution. To fill the order how many litres of solution A should be diluted with solution B? (Hint. Assume a 1% solution contains r grams of salt per litre.)
If the national economy shrank at an annual rate of 6% per year for four consecutive years, then the economy shrank by 24% over the four-year period
Please bros, I need this.
The following table shows the values of y for different values of x:
x
y
0, 0
1, 1
2, 4
Which statement best explains whether the table represents a linear function or a non-linear function?
It represents a linear function because its points are on a straight line.
It represents a nonlinear function because its points are not on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.
Explain how you could use the distributive property and mental math to find 5 x 198
Find the common fraction equivalent to 0.12
The 12 is repeating.
Please show all steps I have answer just can't figure out steps! Thanks!
A doctor has an annual income of $152,125. The income tax the doctor has to pay is 6% , what is the amount of income tax in dollars and cents that the doctor has to pay ?
( this is a griddable question by the way )
Answer:
The amount of income tax is $9127.50 or 912750 cents.
Step-by-step explanation:
Amount of annual income = [tex]\$152,125[/tex]
Rate of income tax = [tex]6\%[/tex]
So, the amount of income tax in dollars
[tex]= 6\%[/tex] of [tex]\$152,125[/tex]
[tex]=(\frac{6}{100}\times \$152125 )= \$9,127.50[/tex]
and in cents [tex]=(9127.50\times 100) cents = 912750cents[/tex]
A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you can use to find the number of uniforms the school purchased.
Tarra wants to buy grapes. If one pound of grapes costs $1.98, how much does Tarra pay for of a pound of grapes? $0.99 $1.98 $2.48 $3.96
Divide.
42/-8
Enter your answer as a mixed number, in simplified form, in the box.
Please help 20 points!
A container has a capacity of 3 liters. It contains 1 3/4 liters of water. How much more water is needed to fill the container? Plz explain and show how!! Thank you in advance!! :)
let f(x)=2/3x-6 what is the inverse function?
Debra found that 6 of the 24 students in her class own a cell phone . What is the ratio of students that own a cell phone to students that do not ? Explain your reasoning to a classmate . ( please help)
Carl can swim at a speed of 2/3 meters/second. How many seconds will it take him to swim a 150 meter race
which expression is equivalent to 3c(1/3d-9)-7(c+1)+d(c+4)?
A.2cd-34c+4d-7
B.2cd-7c-4
C.2cd+34c+4d+7
D.2cd+8c+4
Answer: 2cd - 34c + 4d - 7
A car leaves a city with a speed of 90 mph. Three hours later and our of the same city another car in pursuit of the first leaves with a speed of 120 mph. Find the time it takes the scond car to reach the first.
The time it takes the second car to reach the first is 9 hour.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken
We are given that car leaves a city with a speed of 90 mph. Three hours later and our of the same city another car in pursuit of the first leaves with a speed of 120 mph.
Consider t be the time since the first car leaves
Distance of first car = 90t
Distance of second car:
120(t - 3)
Therefore, 90t = 120(t - 3)
90t = 120t - 360
360 = 30t
t = 12
The second car takes 12-3 = 9 hours to reach it
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What is 279 divided by 24 with a reminder
279 divided by 24 is equal to quotient of 11 and the remainder is 15.
When dividing 279 by 24.
The dividend is dividend.
Divisor is 24.
When 279 is divided by 24, the quotient is 11 with a remainder of 15.
So, 279 divided by 24 is equal to 11 with a remainder of 15.
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