Answer:
y = 26
Step-by-step explanation:
Distribute :
57 = 3y-21
do plus 21 then add it with 57
then you get 78=3y
divide 78 by 3
and y equals 26
this is 8th grade math its not hard lol but your welcome <3
Which equation is the slope-intercept form of the line that passes through (6, –11) and is parallel to the graph of y = –2/3x + 12?
Answer:
Equation of line in slope-intercept form is given as y = mx + c, where m is the slope and c is the y-intercept.
Parallel lines have the same slope so slope of line is -2/3x.
Equation of line is y = -2/3x + c.
Substitute (6,-11) into the equation to find c.
-11 = -2/3(6) + c
c = -7
Hence, equation of line is y = -2/3x - 7.
Add the linear expressions.
(-1.41x - 0.01) + (5.62x + 2.73)
Answer:
4.21x+2.72
Step-by-step explanation:
(-1.41x - 0.01) + (5.62x + 2.73)
Combine like terms
-1.41x+5.62x -0.01+2.73
4.21x+2.72
Answer:
4.21x + 2.72
Step by step explanation:
( - 1.41x - 0.01 ) + ( 5.62x + 2.73 )
First solve the brackets.
- 1.41x - 0.01 + 5.62x + 2.73
Combine like terms.
-1.41x + 5.62x - 0.01 + 2.73
4.21x + 2.72
7/9Z-6/9Z+4-5/9Z-7 Please Help
The expression can be written as
What is an expression?
An expression, often referred as a mathematical model, is a continuous collection of signs that are well-formed in accordance with context-dependent principles. Numbers (predictor variables), parameters, processes, functions, brackets, capitalization, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of actions and other features. In algebra, a value might well be designated by an expression; this value may rely on the values given to the variables that the expression contains. The semantics associated with the symbols in the expression determine this value. The expression's development gains which meaning to use. It is unclear if two λ expressions are equivalent. The idioms used to represent hard figures are the same way.
The expression is
7/9Z-6/9Z-4+5/9Z-7
= (7-6-36Z+5-63Z)/9Z
= (6-99Z)/9Z
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while at the fruit stand, Ramon bought 3 pounds of apples that cost $0.89 per pound and 4 cantaloupes that each cost $1.09. About how much money did he spend, not including tax?
Answer:
$7.03
Step-by-step explanation:
3 times .89 equals 2.67. 4 times 1.09 equals 4.36. Add 2.67 and 4.36 then you get 7 dollars and 3 cents.
Answer:
7.03
Step-by-step explanation:
3 x 0.89 = 3.27
3.27 + (4 x 1.09) = 7.03
therefore without tax, Ramon would be spending $7.03
hope this helped
have a great day ^^
What is the area of the triangle with
vertices (2, 7), (8, 7), and (20, 9)?
A. 6 sq. units
B. 8 sq. units
c. 12 sq. units
D. 15 sq. units
Answer:
I think it is 12
Step-by-step explanation:
A carpenter cuts lumber to the length of 36 inches. For her project, the lumber must be accurate within 0.125 inches.
Part A: Write an inequality to represent the acceptable length of the lumber. Explain your reasoning.
Part B: Solve the inequality. The state the maximum and minimum length for the lumber.
The inequality to represent the acceptable length of the lumber is x ± 0.125 inches.
What is an inequality ?
The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.
Let the lengths she cuts the lumber be x.
Therefore according to the question,
x ± 0.125 inches
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50 POINTS PLEASE HELP
Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was $3
A) sketch the graph that represents the situation and label the intercepts. Use one axis to represent the bags of popcorn and the other axis to represent the number of drinks
B) Explain your graph
The situation can be represented by the equation y = 3x
A) How to write an equation for the situation
The given parameters are
Total amount = $30
Cost of bag of popcorn = $5 each
Cost of each drink = $2.5
[tex]Y=\frac{30-5\times X}{2.5} =12-2\times X[/tex]
Let the bag of popcorn be x and the number of drinks be y
5·X + 3·Y = 30
3·Y = 30 - 5·X
[tex]Y=\frac{30-5\times X}{2.5} =12-2\times X[/tex]
Y = 12 - 2·X
The point corresponding to the y-intercept is the point that gives the
maximum number of drinks Judy can buy if she does not buy popcorn is
12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.
Using the above equation, the graph of popcorn and drinks bought by
Judy is plotted with MS Excel and attached here
280,479,399 + 999,996,536
We must solve the following sum:
[tex]280,479,399+999,996,536[/tex]If we are not able to use a calculator, we can do the following trick:
Charles and 7 other students spent a total of 480 hours picking up litter last year. How many hours did Charles spend picking up litter if each student spent the same amount of time?
Charles spent 60 hours picking up litter if each student spent the same amount of time.
According to the question,
We have the following details:
Charles and 7 other students spent a total of 480 hours picking up litter last year.
So, the total number of students including Charles are 8.
8 persons = 480 hours
So, we have to find time spent in hours for 1 person:
1 person = 480/8 hours
1 person = 60 hours
So, this one person can be any eight of them including Charles.
Hence, Charles spent 60 hours picking up litter last year with other 7 students.
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What was the total amount of the checks listed on the opposite of the deposit slip
From the deposit slip
The amount on each check is
Check #162 = $123.51
Check #234 = $211.00
Check #521 = $214.14
The summation of the amount on each check is\
[tex]\text{\$}123.51+\text{\$}211.00+\text{\$}214.14=\text{\$}548.65[/tex]T
Answer: $521.24
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$310 for 12 ft²
The unit rate is $
//ft²
Answer:
$25.83 / ft^2
Step-by-step explanation:
To find the rate, take the dollar amount and divide it by the area
310/12
25.833333
Rounding to the nearest hundredth
$25.83 / ft^2
Jennifer is practicing her free throws. She made 4/5 of the shots she took at basketball practicetoday. Using long division, what is the decimal equivalent of 4/5?
Answer:
0.8
Explanation:
We use the long division table to find the decimal equivalent of 4/5.
In the long division table:
• Write the denominator (the one below) outside
,• Write the numerator (the one above) inside
The table is attached below:
Therefore, the decimal equivalent of 4/5 is 0.8.
Will give brainliest!!
Write the equation of the line, in standard form, that passes through the origin and is parallel to x+y= 6. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answer:
Parallel to x+y=6
x+y-x=6-x
y=-x+6
y=mx+b
Slope: m=-1
As the line is parallel must have the same slope:
m=-1
And it passes through the origin, then b=0
y=mx+b
y=(-1)x+0
y=-x
In standard form:
y+x=-x+x
x+y=0
Answer: The equation of the line, in standard form, that passes through the origin and is parallel to x+y=6 is x+y=0
Step-by-step explanation:
a+5= -5a+5 I am confused on how to solve this equation.
Answer
a = 0
Explanation
a + 5 = -5a + 5
We will bring the terms with a togther and the terms without together
a + 5 = -5a + 5
a + 5a = 5 - 5
6a = 0
Divide both sides by a
(6a/6) = (0/6)
a = 0
Hope this Helps!!!
for each linear equation in the table, indicate weather the equation has no solution, one solution, or infinitely many solutions x-3=x+3-4x-8=4x+8
Given:
• x - 3 = x + 3
Let's solve the equation above
x - 3 = x + 3
x - x = 3 + 3
0 = 6
Therefore, since 0 = 6, we can say the equation has no solution.
Equation 2:
-4x - 8 = 4x + 8
Let's solve the equation.
-4x - 4x = 8 + 8
-8x = 16
Divide both sides by -8:
[tex]\begin{gathered} \frac{-8x}{8}=\frac{16}{-8} \\ \\ x=-2 \end{gathered}[/tex]Since x = -2, we can say the equation has one solution
ANSWER:
a) No solution
b) One solution
y= 3 x+2
y= -2x-8
find the solution to the following system by subsitution
The solution to the system of linear equations is x = -2 and y = -4
What is an Algebraic equation?An Algebraic equation is a mathematical statement that shows the equality between two or more quantities.
An Algebraic equation may be linear, quadratic or Polynomic depending on the highest degree on the variables.
y = 3x + 2 ---------------1
y = -2x - 8 ---------------2
Equating equations 1 and 2 to find the value of x
3x + 2 = -2x - 8
Collecting like terms
3x + 2x = -8 - 2
5x = -10
x = -10/5
x = -2
Substitute x = -2 in equation 1
y = 3(-2) + 2
y = -6 +2
y = -4
In conclusion, the solution to the system of equations is x = -2 and x = -4
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name the largest and the smallest angle
The largest angle is the ∠ XZY and the the smallest angle is ∠ XYZ.
Given:
A triangle XYZ is shown with sides :-
XY = 16
YZ = 9
XZ = 8
We have to find the largest angle and the smallest angle.
We know that,
The angle opposite to the largest side is the largest angle and the angle opposite to the smallest side is the smallest angle.
We have, largest side = XY = 16
Angle opposite to XY is ∠ XZY.
Hence,
∠ XZY is the largest angle.
Also,
We have, smallest side = XZ = 8
Angle opposite to XZ is ∠ XYZ.
Hence,
∠ XYZ is the smallest angle.
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Put these numbers in order from greatest to least.
9.2
0.92
0.092
Answer:
0.092, 0.92, 9.2
suppose y varies directly with x. write a direct vairation equation that relates x and y. y=-10 when x=2
Answer:
y = - 5x
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = - 10 when x = 2 , then
- 10 = 2k ( divide both sides by 2 )
- 5 = k
y = - 5x ← equation of variation
I need help to find the GCF of this
Answer:
2a(3a-4a)
Step-by-step explanation:
both can be devided by a and by 2
Consider a car with a cash price of $4,000, offered on the installment plan for $146 per month for 36 months.
Calculate (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the car for its cash price.
Use commas and decimal points in your answers when appropriate. Round to two decimal places if necessary
(a) The total installment price is $5256 .
(b) The carrying charges is $1256 .
(c) The number of months needed to save the money at the monthly rate to buy the car for its cash price is 28 months .
In the question,
it is given that
Price of the car in cash = $4000
amount to be paid as installment per month = $146
time for installment = 36 months
Part(a)
the total installment price can be calculated using the formula
total price = (per month installment) * (number of months)
Substituting the values , we get
total price = 146*36
= 5256
So , total installment price = $5256
Part(b)
the carrying charges can be calculates using the formula
carrying charges = total installment price - price in cash
Substituting the values ,we get
carrying charges = 5256-4000
= 1256
So, carrying charges = $1256
Part(c)
the number of months needed to save the money at the monthly rate to buy the car for its cash price , can be calculated using the formula .
number of months = (price in cash)/(monthly rate)
= 4000/146
= 27.39
rounding , we get
≈ 28
number of months = 28 months
Therefore , (a) The total installment price is $5256 .
(b) The carrying charges is $1256 .
(c) The number of months needed to save the money at the monthly rate to buy the car for its cash price is 28 months .
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Compare each of the following pair of improper fractions.
Answer:
"Compare each of the following pair of improper fractions." WHERE ARE THE PAIRS? i need then to solve?
Step-by-step explanation:
TS 2015 > Chapter 1: Using Midpoint and Distance Formulas > Section Exercises 1.3Find the distance between the points R(0, 1) and S(6, 3.5).The exact distance between the two points is
Distance formula:
[tex]d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]where (x1, y1) and (x2, y2) are the points of interest. Replacing with R(0, 1) and S(6, 3.5):
[tex]\begin{gathered} d=\sqrt[]{(3.5-1)^2+(6-0)^2} \\ d=\sqrt[]{2.5^2+6^2} \\ d=\sqrt[]{\frac{25}{4}+36} \\ d=\sqrt[]{\frac{25+36\cdot4}{4}} \\ d=\sqrt[]{\frac{169}{4}} \\ d=\frac{\sqrt[]{169}}{\sqrt[]{4}} \\ d=\frac{13}{2} \end{gathered}[/tex]The greatest common factor of 60 and z, some unknown positive integer, is 10. There are two possible values for z between 35 and 55. What is the difference between these two values?
The greatest common factor being 60 , the difference between these two values is 10 .
The greatest common divisor (GCD) from mathematics is the largest positive integer that splits each of two or more non-zero integers. The symbol gcd stands for the greatest common divisor of the two integers x and y. (x,y). For instance, gcd(8,12)=4 is the GCD of the numbers 8 and 12.
In the name "biggest common divisor," the words "divisor" and "factor" can be switched, allowing for other names like "highest common factor" (hcf), etc.The phrase biggest common measure has previously been used to denote the same concept.It is given that the GCD between 60 , z and another number is 10. We know that z lies between 35 and 55.
Now there are only two numbers between 35 and 55 which has a factor of 10.
The numbers are 40 and 50.
Hence the difference between these two numbers is 50-40 = 10
Therefore the required value is 10.
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the fraction 39/4 is between which two numbers?
Answer:
9 and 10
Step-by-step explanation:
39/4 equals 9.75, meaning it is in between 9 and 10
if 1+1=2and2-1=1what is 3-2equal to
Answer: 1 because 3 take away 2 you have 1 lol
Step-by-step explanation:
Answer:1
Step-by-step explanation:
You simply subtract 3-2=1
Hopes this helps
Viewer's Age Group
Excellent
Good
Average
Poor
Marginal Total
16-25
52
42
12
113
26-35
33
50
97
36-45
58
12
28
34
132
46-55
25
17
22
12
76
56+
12
8
28
Marginal Total
180
126
70
70
446
Note: A rating of good or excellent means the audience liked
the movie, while a rating of poor means the audience disliked the
movie.
A movie producer conducted a survey after a preview sc
age groups.
of her new movie t find out how the film would be received by viewers from different
The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor.
Out of the total respondents, the percentage of respondents from the 46-55 age group who rated the film excellent is
answer up to two decimal places
%. Write your
Reset
Next
hts reserved
%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage. Percentile in mathematics is a related topic.
An estimated 1.57% of the entire audience, or 6.2% of viewers in the 16–25 age range, gave the film a bad rating.
Detailed explanation:This rating was given to the film by viewers in the 16–25 age range, based on the information provided:
Fantastic: 52 viewers
Excellent: 42 viewers
12 average viewers
mediocre: 7 viewers
113 viewers overall in this age group
audience overall: 446
As a result, the following percentages were determined by total viewers in this age group and by the entire audience:
Excellent: 52/113 = 46.02% and 52/446= 11.66%
Fortunately, 42/113 is 37.17% and 42/446 is 9.42%.
12/113 = 10.62% on average, while 12/446 = 2.7%
Unsatisfactory: 7/113 = 6.2% and 7/446 = 1.57%
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Can I please get help with this. I am confused as to where I should reflect the quadrilateral ?
We need to reflect the given quadrilateral across the x-axis.
When we reflect a point across the x-axis, we need to negate the y-coordinate and leave the x-coordinate the same
The point of the given quadrilateral are:
(5,-2)
(2,-4)
(4,-8)
(7,-5)
When we reflect these points on the x-axis, the new points are:
(5,-(-2) = (5,2)
(2,-(-4)=(2,4)
(4,-(-8) =(4,8)
(7,-(-5)=(7,5)
Anyone know the answer to this? simplify -2/5 + 4/3
Answer:
Step-by-step explanation:
-2/5 +4/3
Find common denominator
-2/5; so 5x3=15 4/3; so 3x5=15
what you do to the bottom you must do to the top
-2x3=-6 and 4x5=20
your new fractions would be;
-6/15 + 20/15=
14/15
what is the answer to this question:
3t – t – t = 14
PLEASE HELP MEEEE
I NEED ANSWer ASAP!!!!!!!!!!!
Answer:
t=14
Step-by-step explanation:
3t-t-t=14
1t=14
t=14
