Answer:
[tex]r = \dfrac{23}{20} p[/tex]
Step-by-step explanation:
Number of points scored by River = [tex]r[/tex]
Number of points scored by Paul = [tex]p[/tex]
River has scored 15% more points that Paul.
To find:
Equation to represent the given condition.
Solution:
As per the given question statement, Number of points scored by River is 15% more than that of Paul's.
15% of points scored by Paul = 15% of [tex]p[/tex] = [tex]\frac{15}{100}p[/tex]
15% more means total points scored by Paul plus 15% of points scored by Paul.
Therefore, we can write the following:
[tex]r = p + 15\%\ of\ p\\\Rightarrow r = p + \dfrac{15}{100} p\\\Rightarrow r = \dfrac{115}{100} p\\\Rightarrow r = \dfrac{23}{20} p[/tex]
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.
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
What is the product of 3/5 times 2/7
Answer:
6/35
Step-by-step explanation:
3/5×2/7
6/35
Given: -5x+2/7=-4; Prove: x=6
need to fill out a chart (picture provided) of the statements and reasons for this equation.
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°
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 -11A television that costs $500 is marked up 250%. What is the new price if the television?
Answer:1,750
Step-by-step explanation:
sorry if im wrong I tried
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
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
The function f(x) is defined below. What is the end behavior of f(x)?
f(x)=123x^3+9x^4-768x-3x^5-189x^2+1260
Answer:
Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
The function f(x) is defined as;
f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260
WE need the degree and the leading coefficient to determine the behavior.
Since our leading coeffeicent has a leading even degree of 5, and a positive number,
The function will Rises to the left and falls to the right.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
Learn more about function here:
https://brainly.com/question/2253924
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Which of these expressions is equivalent to 3 (x -2)
Answer:
3 (x -2) = 3x - 6
Answer:
3x-6
Step-by-step explanation:
(3*x)+(3*-2)
3x-6
Its the same but just multiplied
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 :
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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
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
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.
What is the constant rate of change?
Answer: The constant rate of change is 8.
Answer this question and ill give out brainliest
Gimme a reason
Answer:
A rift valley is forming.
Step-by-step explanation:
Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.
PLEASE HELP ME ASAP IMDOING FINALS
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
a new pair of shoes for 60% off. what expression represents the total cost
Answer:
What was the origainal price?
Step-by-step explanation:
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
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:
Currently James has $600 in his bank account, while Lisa has $500 in hers.
Every Friday afternoon James withdraws $15. At the same time Lisa withdraws $12 knowing that she can't spend as much as James.
Will their account balances ever be equal? If they are ever equal, how many weeks will it take?
Answer:
Their account balances will never be equal.
Step-by-step explanation:
I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.
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
simplify 64 to the power of 0 first one to answer gets brainliest (10 points)
Answer:
1
Step-by-step explanation:
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.
help please , I’ll give brainliest.
Answer:5 N to the left
Step-by-step explanation:
Answer:
The Net Force is the difference of force. In this case
10N to the left - 5 N to the right = 5N to the left
I am kind of confused.
factor the expression -28x+35b-14
There are 8 squares and 12 circles. What is the simplest ratio of squares to total shapes?
Answer:
2 : 5
Step-by-step explanation:
The ratio of squares : total shapes = 8 : 20 = 2 : 5 in simplest form