The equivalent expression using associative property is [tex]5 \times(3 \times 12)[/tex]
Solution:Given expression is [(5.3). 12]
We are asked to write a equivalent expression using associative property
The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis
Associative property is as follow:-
a + (b + c) = (a + b) + c { for Addition}
(a x b) x c = a x (b x c) { for multiplication}
The given expression is [(5.3). 12], which can be written as
[tex](5 \times 3) \times 12=5 \times(3 \times 12)[/tex]
Mr. Tindell divided a 6th grade class Of 80 students an into equal groups the number of students in each group was a prime number how many groups did he make how many were in each group?
Answer:
He made 16 groups which means 5 Students in each group
Step-by-step explanation:
Because 80 divided by 16 is 5 and 5 is a prime number
(10.5-7)+(4x3) help please
Answer: 15.5
Step-by-step explanation:
(10.5-7)+(4x3)
following PEDAS we do operations in parentheses first
10.5-7=3.5
4x3=12
we now have 3.5+12 as our intermediate expression
and 3.5+12 = 15.5
Answer:
15.5
Step-by-step explanation:
(10.5-7)+(4*3)
3.5+12
15.5
the following frequency table shows the number of hours of sleep that each of the staff members at tia’s toy store got on thanksgiving night . How many employees work at Tia’s toy store?
Answer:
Total number of employees at Tia's toy store [tex]=9[/tex]
Step-by-step explanation:
To find the number of employees who worked on Tia's store .
We have to add the total number of values from the employee column.
As the question mentioned.
Each of the staff members have different number of hours of sleep on thanksgiving night.
So
The summation of the number of employees from the frequency table
[tex]=(1+0+4+2+1+1)=9[/tex]
So there are [tex]9[/tex] employees working on thanksgiving night in Tia's store.
Mr.marichal has quarters ,dimes,and pennies in a jar.he has twice as many quarters as oennies.he also has 5 more dimes than pennies.the total value of the coins is $6.60.how many of each type of coin does he have
He has 20 quarters, 15 dimes and 10 pennies.
Step-by-step explanation:
Let,
Quarters = x
Dimes = y
Pennies = z
We know that,
A quarter is 25 cents, dime is 10 cents and penny is 1 cent.
Total amount = $6.60 = 6.60*100 = 660 cents
According to given statement;
25x+10y+z=660 Eqn 1
x=2z Eqn 2
y=z+5 Eqn 3
Putting these values of x and y in Eqn 1
[tex]25(2z)+10(z+5)+z=660\\50z+10z+50+z=660\\61z=660-50\\61z=610\\[/tex]
Dividing both sides by 61;
[tex]\frac{61z}{61}=\frac{610}{61}\\z=10[/tex]
Putting z=10 in Eqn 2
[tex]x=2(10)\\x=20[/tex]
Putting z=10 in Eqn 3
[tex]y=10+5\\y=15[/tex]
He has 20 quarters, 15 dimes and 10 pennies.
Keywords: linear equations, substitution method
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A tree grow 1/4 foot in 1/12 year.
Part A: write the rate at which this tree grows as a fractions.
Part B: how many feet does the tree grow in 1 year? explain how you know.
Answer:
Part A) The rate is [tex]\frac{12}{4}\ \frac{feet}{years}[/tex]
Part B) In 1 year the tree grows 3 feet
Step-by-step explanation:
Part A) write the rate at which this tree grows as a fractions
we know that
To find out the rate at which the tree grows divide 1/4 foot by 1/12 year
so
[tex]\frac{(1/4)}{(1/12)}=\frac{12}{4}\ \frac{feet}{years}[/tex]
Part B) how many feet does the tree grow in 1 year?
we know that
The tree grows at rate of [tex]\frac{12}{4}\ \frac{feet}{years}[/tex]
Simplify
[tex]\frac{3}{1}\ \frac{feet}{year}[/tex]
That means ----> The tree grows 3 ft in 1 year
therefore
In 1 year the tree grows 3 feet
in the first quadrant you start at 7,5 and move 4units left and 1 unit down
Answer:
(3,4)
Step-by-step explanation: I'm assuming you want to know the final point you end up at. The first part of our coordinate pair is our x value, so we want to reduce our x-value by 4 to go left 4 units, the second part is our y-value, we want to reduce it by 1 to go down 1 unit. So, our final coordinate pair is (7-4,5-1) or (3,4).
The coordinates of point S are (8.4). What are the
M 17, 3) is the midpoint of RS
coordinates of R?
Answer:
Co-ordinates of point R is (26,2)
Step-by-step explanation:
Given point:
Endpoint S(8,4)
Mid-point M of segment RS (17,3)
Let endpoint [tex]R[/tex] have co-ordinates [tex](x_2,y_2)[/tex]
Using midpoint formula:
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are co-ordinates of the endpoint of the segment.
Plugging in values to find the midpoint of segment KN.
[tex]M=(\frac{8+x_2}{2},\frac{4+y_2}{2})[/tex]
We know [tex]M(17,3)[/tex]
So, we have
[tex](17,3)=(\frac{8+x_2}{2},\frac{4+y_2}{2})[/tex]
Solving for [tex]x_2[/tex]
[tex]\frac{8+x_2}{2}=17[/tex]
Multiplying both sides by 2.
[tex]\frac{8+x_2}{2}\times 2=17\times 2[/tex]
[tex]8+x_2=34[/tex]
Subtracting both sides by 8.
[tex]8+x_2-8=34-8[/tex]
∴ [tex]x_2=26[/tex]
Solving for [tex]y_2[/tex]
[tex]\frac{4+y_2}{2}=3[/tex]
Multiplying both sides by 2.
[tex]\frac{4+y_2}{2}\times 2=3\times 2[/tex]
[tex]4+y_2=6[/tex]
Subtracting both sides by 4.
[tex]4+y_2-4=6-4[/tex]
∴ [tex]y_2=2[/tex]
Thus co-ordinates of point R is (26,2) (Answer)
HELP ASAP, NO GUESSING OR ADDING RANDOM ANSWERS OR YOU WILL BE REPORTED
Answer:
3.5 unit right and compressed by 3.5 units respectivleyy
Step-by-step explanation:
daniella wants to run a total of 3,600 laps during the next 52 weeks. What is the total number of laps she will run if she runs 70 laps each week for 50 weeks? Write an equation
Answer:
3500
Step-by-step explanation:
I divided everything and I ended up just multiplying 70x50 which got me 3500. I'm sorry, but I don't know in what way to write the equation. I don't know if it's y=mx+b or some other way. all I was able to come up with was y=50x+70
Which polynomial is in standard form? A) 5x6 − 6x8 + 7x9 + 9 B) x2 + 2x3 − 3x4 + 3x5 C) 3x3 − 5x2 + 7x4 + 9x3 D) 2x5 − 6x3 + 3x2 − x
Answer: choice D
2x^5 - 6x^3 + 3x^2 - x
Explanation:
Polynomials in standard form always have the exponents decrease (ie go from largest to smallest) when we read from left to right. For choice D, the exponents from left to right are: 5, 3, 2, 1. This is decreasing order. The other answer choices do not have the exponents in decreasing order. The degree of the polynomial in choice D is a 5th degree polynomial since 5 is the largest exponent.
what is the y-intercept of y= -3x
Answer:
c
Step-by-step explanation:
The slope-intercept form is y=mx+b, where m is the slope and
b is the y-intercept.
y=mx+b
m=−3
b=0
y=-3x+0
The required y-intercept of the given y = -3 is (0, 0)
Slope-intercept form of the line:
If the line have m slope and b as y-intercept then the equation of the line will be y = mx + b
How to find intercept?Here we have given that the equation of the line
y = -3x
Make this equation like general form of slope-intercept form
y = -3x + 0
Therefore comparing with general form we have
Slope m = -3
y-intercept = b = 0
The coordinate will be (0, 0)
Therefore the correct option is (c)
This is the conclusion to the answer.
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PLEASE ANSWER ASAP What does it mean for a scatter plot to have a negative trend?
A. Higher x-values tend to go with higher y-values.
B. Higher x-values tend to go with lower y-values.
C. The x- and y-values appear to be unrelated.
D. None of these are true.
Answer:
D: None of these are true
Explanation:
If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables
erica says that the expression 4x has one term is she correct explain
Answer: Yes
Step-by-step explanation: Erica would be correct. 4x is called a term. When we see a variable next to a number which in this case is X, it's important to understand that this means multiplication.
We can also say that the expression 4x is a product of both 4 and X.
Final answer:
Erica is correct; the expression 4x is considered one term because it consists of a single element with a coefficient and a variable multiplied together.
Explanation:
Erica is correct in saying that the expression 4x has one term. In mathematics, a term is a single mathematical expression that may be a number, a variable, or numbers and variables multiplied together. The expression 4x consists of the number 4 and the variable x multiplied together, which forms a single term. It does not have any addition or subtraction signs that would separate it into multiple terms.
What is the solution set of{x|X<-3} n {xl x> 5)?
all numbers except -3 and 5
the numbers between -3 and 5
the empty set
all real numbers
Answer:
C) Solution set of{x|X<-3} n {xl x> 5) is an the empty set.
Step-by-step explanation:
Here, the solution set is given as : set of {x| x < -3 } ∩ {x l x > 5)
Now, defining the each set , we get
{x| x < -3 } = ( .... -6,-5,-4 ,-3) = P
and the SET {x l x > 5} = (5,6,7,........ ) = Q
Now, by taking the intersection of two sets,we get
P ∩ Q = NULL SET as they don not have any element in common.
⇒ {x| x < -3 } ∩ {x l x > 5} is an empty set
Hence, solution set of{x|X<-3} n {xl x> 5) is an the empty set.
Two identical cars need to fit into a small garage. The opening is 23 feet 6 inches wide, and there must be at least 3 feet 6 inches of clearance between the cars and between the edges of the garage. How wide can the cars be?
To fit two identical cars in a 23-foot 6-inch wide garage with 3 feet 6 inches clearance on each side and between the cars, the cars must each be 6 feet 6 inches wide.
Explanation:The subject matter of your question is a math problem involving subtraction and division. To find out how wide the cars can be, you first need to determine the total available space for the cars. The total width of the garage is 23 feet 6 inches. However, you need to leave room for clearance on either side of the cars and in between them. The clearance is a total of 3 feet 6 inches multiplied by 3 (one for each side and one for between the cars), which is 10 feet 6 inches. Subtract this from the total width of the garage, and you get 13 feet available for the cars. Since the cars are identical, you simply divide this by 2. Each car can be 6 feet 6 inches wide.
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using elimination method, simultaneously solve this equation: 2y+3x=7 and 4x+3y=15
Solve 2y + 3x = 7 and 4x + 3y = 15 by elimination, we get x = -9, y = 17. Multiply and subtract equations to eliminate y, then substitute the result to find x or y.
To solve the system of equations 2y + 3x = 7 and 4x + 3y = 15 using the elimination method, we aim to eliminate one variable to solve for the other. Here's a step-by-step explanation:
Multiply the first equation by 3, and the second equation by 2 to make the coefficients of y equal:The solution for the system of equations is x = -9 and y = 17.
What is the product of (-6)(-7)(-1)?
оооо
Answer:
-42
Explanation:
(-6)(-7)(-1)
do (-6)(-7)
-negative sign and -negative sign= +positive sign
(-6)(-7)=42
(42)(-1)
+positive sign and -negative sign=-negative sign
answer:
-42
A computer repair company charges the free and an hourly change after 2 hours to repair bill is $110 and after 3 hours day is 150 how much would it cost for 1.5 hours of work
Answer:
$60
Step-by-step explanation:
Let the company's fixed charge be "x"
And let the the hourly rate be "h"
Firstly, 2 hours + fixed = $110, we can write:
2h + x = 110
Next, 3 hours + fixed = $150, we can write:
3h + x = 150
We multiply the first equation by "-1" to get:
-1 * [2h + x = 110] = -2h - x = -110
Now we add this equation to the 2nd:
3h + x = 150
-2h - x = -110
-------------------
h = 40
Hence, the hourly rate is $40
So, it would cost 1.5 * 40 = $60 for 1.5 hours
At an all you can eat barbecue, adults pay $8 and children pay $5. 140 people attend you raise $856. What’s the total number adults and children?
The number of adults was 52 and number of children was 88.
Step-by-step explanation:
Cost for one adult = $8
Cost for one child = $5
People attended = 140
Amount raised = $856
Let,
x be the number of adult
y be the number of children
According to given statement;
x+y=140 Eqn 1
8x+5y=856 Eqn 2
Multiplying Eqn 1 by 8'
[tex]8(x+y=140)\\8x+8y=1120\ \ \ Eqn\ 3\\[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](8x+8y)-(8x+5y)=1120-856\\8x+8y-8x-5y=264\\3y=264[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{264}{3}\\y=88[/tex]
Putting y=88 in Eqn 1;
[tex]x+88=140\\x=140-88\\x=52[/tex]
The number of adults was 52 and number of children was 88.
Keywords: linear equations, subtraction
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Translate the variable expression into a word phrase 5c
A. The quotient of five and a number
B. The sum of five and a number
C. The difference of five and a number
D. The product of five and a number
PLZ HELP ME
The answer to your question is D, as 5 is being multiplied by c, and the term product refers to multiplication.
$4000 into a account with 4.8 percent interest assuming no withdrawals are made how much will be n account after 9 years
Answer:
$5728
Step-by-step explanation:
$4000 is deposited into an account with 4.8% interest.
We assume that there are no withdrawals from the account.
Then we are asked the determine the amount will be there in the account after 9 years.
From the formula of simple interest, the final amount in the account after 9 years will be [tex]4000(1 + \frac{4.8 \times 9}{100}) = 5728[/tex] dollars. (Answer)
What percent is represented by the shaded area?
Answer:
its represented by my 20 inch pito
On a map drawn to scale, 2 cm represents 870 km. How long would a line segment be thats represents 130 kilometers?
Answer:
0.2988
Step-by-step explanation:
Help me !!! ASAP!!!!
Answer:
x-intercept: (14/9,0)
y-intercept: (0,-2)
Step-by-step explanation:
9x-7y=14
For x-intercept:
Plug in 0 for y, then solve for x (the remaining variable)
For y-intercept:
Plug in 0 for x, then solve for y (the remaining variable)
6x - 5y = -10
4x+3y=6 linear equation
Answer:
x = 0 , y = 2
Step-by-step explanation:
Solve the following system:
{6 x - 5 y = -10 | (equation 1)
4 x + 3 y = 6 | (equation 2)
Subtract 2/3 × (equation 1) from equation 2:
{6 x - 5 y = -10 | (equation 1)
0 x+(19 y)/3 = 38/3 | (equation 2)
Multiply equation 2 by 3/19:
{6 x - 5 y = -10 | (equation 1)
0 x+y = 2 | (equation 2)
Add 5 × (equation 2) to equation 1:
{6 x+0 y = 0 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 6:
{x+0 y = 0 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = 0 , y = 2
Suzie is making a large batch of brownies with her mother. The recipe calls for 4 2/3 cups of sugar. The only measuring device she has measures 1/3 cup. How many of these will Suzie have to fill and pour in order to add enough sugar?
Answer:
14 of these device have to fill and pour in order to add enough sugar.
Step-by-step explanation:
Given:
The recipe calls for 4 2/3 cups of sugar. The only measuring device which measures 1/3 cup.
Now, to get how many of this device have to fill and pour in order to add enough sugar.
First we convert the quantity in improper fraction from mixed :
[tex]4\frac{2}{3} = \frac{14}{3}[/tex]
According to question:
We divide 14/3 cups of sugar by 1/3 measuring cup to get quantity of device to be fill and pour:
[tex]\frac{14}{3} \div \frac{1}{3}[/tex]
[tex]\frac{14}{3}\times \frac{3}{1}[/tex]
Now, by evaluating we get:
[tex]14[/tex]
Therefore, 14 of these device have to fill and pour in order to add enough sugar.
Directions: Simplify each algebraic expression by combining like terms.
1. 7x2 – 5x + 10x - 8x?
2.-6a3 + 5a3 + 2a? - a?
3. - 4(x + 5) – 5(x - 1)
4. -a + 5b - 6a + 5(a + 1)
5. 18x4 - 3x3 - 2x3 + x2 - 10 + 6
Answer:
Step-by-step explanation:
1) 7x^2-5x+10x-8x=7x^2+5x-8x=7x^2-3x
2) -6a^3+5a^3+2a-a=-a^3+2a-a=-a^3+a
3) -4(x+5)-5(x-1)=-4x-20-5x+5=-9x-20+5=-9x-15
4) -a+5b-6a+5(a+1)=-7a+5b+5a+5=-2a+5b+5
5) 18x^4-3x^3-2x^3+x^2-10+6
=18x^4-5x^3+x^2-4
To simplify algebraic expressions, combine like terms, variables and exponents. We simplified five examples, using techniques such as distribution and combining like terms.
Explanation:To simplify algebraic expressions, one has to combine like terms, which are terms with the same variables and exponents. Here, let's do that:
7x2 – 5x + 10x - 8x simplifies to 7x2 + 5x because -5x + 10x - 8x = 5x.
-6a3 + 5a3 + 2a? - a? simplifies to -a3 + a (assuming the '?' is meant to be a variable).
- 4(x + 5) – 5(x - 1) simplifies first by applying distribution (-4x -20 -5x +5) which then becomes -9x - 15.
-a + 5b - 6a + 5(a + 1) simplifies to -2a + 5b + 5 once you distribute and combine like terms.
18x4 - 3x3 - 2x3 + x2 - 10 + 6 simplifies to 18x4 - 5x3 + x2 - 4 since -3x3 and -2x3 add up to -5x3 and -10 and 6 adds up to -4.
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The graph models the speed of an amusement park ride. The coordinates of Point Ware (1,
Tower of Thrills
Distanon (motora)
+ + + + +
0 1 2 3 4 5 6 7
Time (coconds)
What is the meaning and value of rat Point W?
A rrepresents the unit rate of speed of 1 meter per 45 seconds
B rrepresents the unit rate of speed of 45 meters per 1 second
c rrepresents the rate of increase of speed of 1 meter per 45 seconds
D represents the rate of increase of speed of 45 meters per 1 second
Answer:
k
Step-by-step explanation:
;
consider the line with the given properties m=4 passing through p(-5,0)
Answer:
y = 4x + 20
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 5, 0) into the partial equation
0 = - 20 + c ⇒ c = 0 + 20 = 20
y = 4x + 20 ← equation of line
solve using substitution -x+y=3 and -4x+3y=3
Answer:
x=6, y=9. (6, 9).
Step-by-step explanation:
-x+y=3
-4x+3y=3
-----------------
-x=3-y
x=-3+y
x=y-3
---------
-4(y-3)+3y=3
-4y+12+3y=3
-y+12=3
-y=3-12
-y=-9
y=9
-x+9=3
-x=3-9
-x=-6
x=6
x=6, y=9.