Answer:
Step-by-step explanation:
the first graph has points (-1, -1) and (2, -2)
slope m = (y2-y1) / (x2-x1) = (-1+2)/ (-1-2) = 1/-3 = -1/3
the second graph has points (0, -3) and (2, 0)
slope m = (y2-y1) / (x2-x1) = (-3-0)/ (0-2) = -3/-2 = 3/2
for the table
x. y
-3. 4
0. 1
slope m = dierence in y /diference in x = 4-1 / -3-0 = 3/-3= -1
What is the constant rate of change?
Answer: The constant rate of change is 8.
10 + 4a = a -23 i need to solve for a please help
Answer:
a = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
10 + 4a = a - 23
Step 2: Solve for a
Subtract a on both sides: 10 + 3a = -23Isolate a term: 3a = -33Isolate a: a = -11Step 3: Check
Plug in a into the original equation to verify it's a solution.
Substitute in a: 10 + 4(-11) = -11 - 23Multiply: 10 - 44 = -11 - 23Subtract: -34 = -34Here we see that -34 does indeed equal -34.
∴ a = -11 is the solution to the equation.
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
⠀⠀⠀
10 + 4a = a - 23 ______________________[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
⠀⠀
Value of a = ?? ______________________[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
⠀⠀⠀⠀
For solving such problems we must have a glance at BODMAS rule .
⠀⠀⠀⠀
Firstly , putting all the variables at left and putting all the constants at right
⠀⠀⠀⠀
4a - a = - 23 - 10
⠀⠀⠀⠀
Secondly , solving the variable side
⠀⠀⠀⠀
3a = -23 - 10
⠀⠀⠀⠀
Now , solving the constant side
⠀⠀⠀⠀
3a = - 33
⠀⠀⠀⠀
Thirdly isolating the variable
⠀⠀⠀⠀
a = -33 / 3
⠀⠀⠀⠀
a = - 11
______________________[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
⠀⠀⠀⠀
Value of a is -11Three of seven students ate apples for lunch. What is the
ratio of students who ate apples for lunch to students who
did not eat apples for lunch?
Answer:
3:4 would be the answer
Step-by-step explanation:
you're welcome
Hannah wants to save 1/3 of her allowance each week to buy a new dress that costs $45.00. if her allowance is $6.00 each week, how many weeks will she have to save to buy the dress?? PLEASE HELP PLEASE ASAP!! WILL MARK BRAINLIEST!!!
Answer:
It will take 22.5 weeks for her to save up to buy the dress.
Step-by-step explanation:
1/3 of $6.00 is 2.
(6 ÷ 3 = 2)
So she's saving $2 each week.
Now we need to divide $45 by $2 to get the number of weeks.
45 ÷ 2 = 22.5
Point S is between R and T. If RS = 2x + 10, ST = x - 4, and RT = 4x - 10, find
the value of x.
Hint: Draw a picture!
O x = 16
O x = 8
O x = 10
O x = -14
Answer:
i dont really get your question tho
been stuck on this for a bit
The graph of the equation y = 1 x + 2 is displayed.
Which equations would intersect the orange line at the
y-intercept? Check all that apply.
Answer:
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
Step-by-step explanation:
The equation of any line that would intersect the orange line at the y-intercept, 2, would have the same y-intercept value of 2.
Thus, from the options given, the following equations has y-intercept (b) of 2.
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
All three equations have a y-intercept value, b, of 2.
Note: option D, y - 2 = 4x, can be rewritten as y = 4x + 2.
Answer: A/C/D
Step-by-step explanation: A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
Elena and Max used to rectangular wooden boards to make a set for the school play one board was 6 ft long and the other was 5 and 1/2 ft long the two boards had equal width the total area of the set was 60 and 3/8 square feet what was the width
Answer:the width is 5 1/4 ft
Step-by-step explanation:
Step 1
The area of a rectangle is given as Length x width
Therefore the area of the rectangular board = Length x width
The length of the first board =6ft
The length of the second board =5 1/2 ft (5.5ft) with both having a total area of 60 3/8 (60.375ft²). To find the width of the boards since both have equal width, we use the equation
Length x width of board A + Length x width of board B= area of board A and Board B
6w + 5.5w =60.375
Step 2---- Solving the equation
6w + 5.5w =60.375
11.5w = 60.375
w = 60.375/11.5
w= 5.25
Therefore the width of the two boards are 5.25 ft / 5 and 1/4 ft each
What is 5% of 40?
1
2
8
4
Answer:
The answer to your question is 2
Which unit rate is the lowest price per ounce?
Choice A: 5 ounces of raisins for $1.49
Choice B: 12 ounces of raisins for $3.69
Answer:
B
Step-by-step explanation:
Answer:
A. 5 oz. is the lowest rate
The table below shows the number of pencils and pens three friends have in their backpacks.
Who has a greater ratio of pencils to pens?
A. Lydia
B . Angel
C . Elizabeth
Answer:
Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Step-by-step explanation:
Considering the table
Lydia's Number of Pencils = 10
Lydia's Number of Pens = 7
Lydia's Pencils to Pens ratio = 10/7
Angel's Number of Pencils = 9
Angel's Number of Pens = 6
Angels's Pencils to Pens ratio = 9/6 = 3 / 2
Elizabeth's Number of Pencils = 12
Elizabeth's Number of Pens = 9
Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3
So, We get the inputs ratios such as:
Lydia's ratio: Angels's ratio: Elizabeth's ratio
10/7 : 3 / 2 : 4 / 3
As the least common denominator (LCD) is: 42
Rewriting as equivalent fractions with the LCD:
10/7 : 3 / 2 : 4 / 3
60 / 42 : 63/42 : 56/42
Sorting from least to greatest:
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
Elizabeth's ratio : Lydia's ratio : Angels's ratio:
4/3 : 10 /7 : 3 / 2
56/42 : 60 / 42 : 63/42
Therefore, Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Hey I need help
solve: (2 to the power of 4) - 6 divided by 2.
Answer:
13
Step-by-step explanation:
2 to the power of 4 - 6 divided 2
16 - 6 divided by 2
16 - 3
13
Answer: 13
Step-by-step explanation:
2 to the power of 4 =
16 - 6/2 = 16 - 3 = 13
Help asap if you want brainliest
Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?
Answer:
56
Step-by-step explanation:
...
The solution is Option A.
The inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the total number of DVDs Martin can buy be = A
Now , the equation will be
The price of 1 DVD is = $ 8.50
The price for shipping and handling = $ 5.00
Now , the total amount Martin decides to spend = not more than $ 56
So , the inequality equation will be
8.50A + 5 ≤ 56
On simplifying the equation and solving for A , we get
Subtracting 5 on both sides of the equation , we get
8.50 A ≤ 51
Divide by 8.50 on both sides of the equation , we get
A ≤ 51 / 8.5
A ≤ 6 DVDs
So , the value of A should be less than or equal to 6
Hence , the inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy
To learn more about inequality equation click :
https://brainly.com/question/11897796
#SPJ2
Given: -5x+2/7=-4; Prove: x=6
need to fill out a chart (picture provided) of the statements and reasons for this equation.
What is the product of 3/5 times 2/7
Answer:
6/35
Step-by-step explanation:
3/5×2/7
6/35
Write the coordinates of the vertices after a reflection over the line y = 1.
*tuff scrolls
*looks at other hard things
Help ASAP !
Help ASAP !
Help ASAP !
Answer:
21/40
Step-by-step explanation:
Answer:
0.525 or 21/40. Find the LCM between the denominators which is 40.
Which graph shows a proportional relationship that passes through the point (2, 1)?
A.
B.
C.
D.
The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.
Equation of a lineA line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.
Using a factor of 2;
New coordinate = 2(2, 1)
New coordinate = (4, 2)
From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.
Learn more on graph of a line here: https://brainly.com/question/24894997
#SPJ1
Nevaeh's car used 11 gallons to travel 352 miles. At what rate does the car use gas, in
miles per gallon?
Answer:
32
Step-by-step explanation:
divide 352 by 11
The required rate for Nevaeh's car uses 32 miles per gallon of gas.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.
Here total distance traveled by car = 352 miles
And the number of used gallons = 11
the car uses gas = 352 miles / 11 gallons
the car uses gas = 32 miles per gallon
Therefore, the required rate for his car uses 32 miles per gallon of gas.
Learn more about the Ratio here:
brainly.com/question/1504221
#SPJ5
help pls will give brainliest
Which graph represents the function y=3/4x+3?
Answer:
it the 1st choice
Step-by-step explanation:
I can't really see well but its the one where the line goes through
positive 3 on the Y line that goes down
I am kind of confused.
Write y= -1(x-4.5)^2 + 15.25 in standered form
Given:
The equation is
[tex]y=-1(x-4.5)^2+15.25[/tex]
To find:
The standard form of the given equation.
Solution:
We have,
[tex]y=-1(x-4.5)^2+15.25[/tex]
It is a quadratic equation.
The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.
[tex]y=-(x-4.5)^2+15.25[/tex]
[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=-[x^2-9x+20.25]+15.25[/tex]
[tex]y=-x^2+9x-20.25+15.25[/tex]
[tex]y=-x^2+9x-5[/tex]
Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].
a new pair of shoes for 60% off. what expression represents the total cost
Answer:
What was the origainal price?
Step-by-step explanation:
5/2y=10 for y
Also, could you explain how to do it, I'm having difficulties and I would like to know how to do this problem.
Answer:
y = 4
Step-by-step explanation:
5/2y = 10
5/2y x 2/5 = 10 x 2/5
Multiply each side by the reciprocal
y = 4
The store sells 6 pounds of apples for $6.00. Tina wants to buy 2 pounds of apples. How much would 2 pounds of apples cost?
Answer:
$2.00 i think ???
Step-by-step explanation:
beat me up if it's wrong !
Answer: $2.00
Step-by-step explanation: each pound is $1.00
Are the following lines parallel, perpendicular or neither?*
7x -8y = 64 and y = - 4x + 15
parallel
perpendicular
O neither
O both parallel and perpendicular
Answer:pAraell
Step-by-step explanation:
A set of 6 water bottles are sold for 12. What is the unit cost per water bottle?
$2.00 US Dollars is the answer
In the figure below, ray MP and ray MQ both intersect line LN.
Answer:
x = 20°
Step-by-step explanation:
Lines and Angles
Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.
Thus, we have:
45 + 6x - 5 + x = 180
Simplifying:
40 + 7x = 180
Subtracting 40:
7x = 180 - 40
7x = 140
Dividing by 7:
x = 140/7 = 20
x = 20°
Joanne was hired by a florist to make large boes for holidays wreaths each roll of ribbon has 20 yards joanne used 3 1/2 rolls of ribbons to make 15 bows how many feet of ribbon did she use to make each bow
Answer: Each bow needs 4.67 yards of ribbon.
Step-by-step explanation:
We know that each roll has 20 yd.
She used 3 + 1/2 rolls, then the total length used will be (3 + 1/2) times the length of each roll, this is:
(3 + 1/2)*20 yd = (6/2 + 1/2)*20yd = (7/2)*20yd = 70 yd.
With tose 70 yards of ribbon, she made 15 bows, then the length of ribbon used in each bow will be equal to the quotient between the total length used and the number of ribbons made with it, this is:
70yd/15 = 4.67 yards
Each bow needs 4.67 yards of ribbon.
A wrestler competes in 31 matches. Of those matches, he wins 14. What percent of the matches did the wrestler win? Round your answer to the nearest tenth place if necessary. (Use any method to solve this question, but you must show work) *
Answer: The wrestler won 45% of their matches.
Step-by-step explanation:
When are trying to find percentages, we are finding part of a whole. 31 is the whole and the part is 14.
If I was to set [tex]\frac{14}{31}[/tex] to an equivlent fraciton of over 100, we would get something close to 45.