If the total price for two cars at a dealership is $91,000, where one car's price is
$11,000 less than twice the other, what is the price of the cheaper vehicle?
The price of the cheaper vehicle is $34000. And the price of the other vehicle is $ 57000. The total becomes $91000.
The total price for two cars at a dealership is $91,000, where one car's price is $11,000 less than twice the other.
There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.
Let the price of one car be 'X' and other be 'Y' such that:
X+Y = $91000.
According to the question,
X = 2Y - $11000
Manipulating and calculating both the equations we get,
X = $57000 and Y = $34000.
So the cheaper car is of $34000.
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5 and 7 are _____ angles.
a.alternate exterior
b.alternate interior
c.supplementary
d.right
e.corresponding
Answer:
c.supplementary.Step-by-step explanation:
I hope l have answered your question. ❤❤❤A baseball diamond is really a square. and the distance between concsecutive bases is 90 ft. how far does a catcher have to throw the ball to get it to second base if a runner tries to steal second?
Answer: 130ft
Step-by-step explanation: Therefore, the catcher needs to throw the ball a distance of 130 feet , 3 feet behind the home base up to the second base to get a runner out.
YM is a median of the triangle below. XM = 2x + 2 and ZM = 4x - 8. What 5 points
is the length of XM?
12
16
-2
10
Answer:
Option A: 12
Step-by-step explanation:
From the image of the triangle given, we can see that:
XM = ZM
We are given that:
XM = 2x + 2 and ZM = 4x - 8
Thus;
2x + 2 = 4x - 8
Rearrange to get;
4x - 2x = 8 + 2
2x = 10
x = 10/2
x = 5
Thus, XM = 2(5) + 2
XM = 12
A clothing store has a sale such that every item in the store is 20% off of the original price. What is the marked down price of an
item, in dollars, that was originally $59.99? Hint: round to the nearest cent.
Answer:
11.99
Step-by-step explanation:
59.99 x .20 = 11.99
Given 4 and 1 over 10 times negative three times 5 over 12, determine the product.
negative twelve and 5 over 120
twelve and 5 over 60
negative five and 1 over 8
five and 1 over 8
The expression is simplified to -5 1/ 8,negative five and 1 over 8 . Option C
How to determine the productFrom the information given, we have;
4 and 1 over 10 timesthree times 5 over 12This can be represented as;
4 1/ 10 × -3 × 5/ 12
Make the fraction into improper fraction
41/ 10
Substitute into the expression;
41/ 10 × -3 × 5/ 12
Find the product of the numerators and denominator, that is, multiply through
- 615/120
Turn into mixed fraction
- 5 15/ 120
-5 1/8
Thus, the expression is simplified to -5 1/ 8,negative five and 1 over 8 . Option C
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Please help thanks !!!!
Answer:
x = -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 Equation
6(x - 1) = -72
Step 2: Solve for x
Divide 6 on both sides: x - 1 = -12Add 1 to both sides: x = -11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6(-11 - 1) = -72Subtract: 6(-12) = -72Multiply: -72 = -72Here we see that -72 does indeed equal -72.
∴ x = -11 is a solution to the equation.
Answer:
x = - 11
Step-by-step explanation:
Given
6(x - 1) = - 72 ← divide both sides by 6
x - 1 = - 12 ( add 1 to both sides )
x = - 11
Bob and Alice have designed and created a website for their high school. The first week they had 5 visitors to the site; the second week, they had 10 visitors; and during the third week, they had 20 visitors. If the trend continues, how many visitors can they expect in the fifth week? Explain your answer.
Answer:
80
Step-by-step explanation:
The trend is multiplying by 2. 5x2=10 10x2=20 20x2=40 40x2=80
Factor each. One factor has been given Plsss helpppp
Answer:
A.(x+2)(x-1)(x+5)=0
Smart about slopes help pls
Answer:
Step-by-step explanation:
1. undefined
2.undefined
3.undefined
6. undefined
thats all i know
1: 1
2: -1
3: 1/2
4: -3
5: 1/3
6: also 1
7: people might mix up x and y and instead of doing y rise/x rise, they might do x rise/y rise
I can't see 8 9 10 or 11 so I'm going to assume thats it. Hope this helped :)
expand and simplify 3(8x - 2) +2 ( 4x - 1 )
Answer: 32x-8
Step-by-step explanation: 8x times 3 is 24x and 4x times 2 is 8x
24x +8x is 32x
3 times-2 is -6 2 times-1 is -2
-6-2 is -8
so therefore the answer is 32x-8
SOMEONE HELP ME PLEASE ILL GIVE BRAINLY
Answer:
1st 3rd and 4th
Step-by-step explanation:
Answer:
The second one is the correct answer
Step-by-step explanation:
You have
[tex] \frac{1}{4} [/tex]
so it is Stretch
and -1 so Right 1 (When the number is in parentheses, the changes on the x-chart are reversed.) and finally +3 so Up3
If (x + 1/x ) = 16, find the value of x² + 1/x²
I hope I explained ...
5 and (2,6)
Pls answer
Answer:
Step-by-step explanation:
I do not understand what you mean
or maybe you mean .
5 * (2,6)
(10,30)
Chicago has a temperature of -15oF. It is colder in Minneapolis than in Chicago. Select all the values that could represent the temperature in Minneapolis.
A. -22oF
B. 12oF
C. -2oF
D. 2oF
E. -20oF
F. 20oF
Answer:
A and E
Step-by-step explanation:
if its colder it means the negative number must be bigger then -15oF such as -22oF and -20oF
A pitcher can hold 1,200 milliliters of tea. A waiter filled and emptied the pitcher 6 times. How many liters of tea did the waiter server
Answer:
7200
Step-by-step explanation:
1,200 x 6 = 7200
The value of 9 x^2 + 4 x – 11 is ______ when x = 3 . 2 and ______ when x = − 2 .
The value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2
What are algebraic expressions?Algebraic expressions are expressions composed of variables, terms, factors, constants and coefficients.
They are also made up of mathematical or arithmetic operations
Given the expression;
9 x^2 + 4 x – 11
Substitute the value of x as 3. 2
9(3.2 )² + 4(3.2) - 11
expand the bracket
9(10. 24) + 12. 8 - 11
104. 96 -11
93. 96
Substitute the value of x as -2
9(-2)² + 4(-2) - 11
9(4) - 8 - 11
17
Thus, the value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2
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2/3x + 5 =9 i need helppp
Answer:
x=6
Step-by-step explanation:
First, you subtract 5 from both sides of the equation.
2/3x=9
Then you divide both sides by 2/3 to get x by itself, which equals 6. So, the answer is 6.
Solve these 3 questions.
Answer:
1. x = 13
2. x=17
3. y= 34
Step-by-step explanation:
-14=6x-8(x+3)
use the distributive property And show the steps that you did
Answer:
x=-5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
i need help on this question
Rita earns $18.00 per hour. If she gets a 4% raise, what will be her new hourly wage?
Answer:
Step-by-step explanation:
Probably $20 just by estimating
Answer:
Rita's new hourly wage will be $18.72.
Step-by-step explanation:
To solve this problem, we first need to calculate 4% of $18.00 to find the raise.
18 x 0.04 = 0.72
Now, we need to add this to the original hourly wage of $18.
18 + 0.72 = $18.72
Therefore, Rita's new hourly wage will be $18.72.
Hope this helps! :D
If the ratio of blueberries to strawberries is 4:1, what is the percentage of strawberries
in the fruit salad?
Answer: Since the total is 5 fruits, 1 is strawberry. So that would be 20 out of a 100. The percentage of strawberry is 20% of all the fruit.
The percentage of strawberries in the fruit salad is 20%.
Given that,
The ratio of blueberries to strawberries is 4:1.
Based on the above information, the calculation is as follows:
[tex]= 1\div (1 + 4)\\\\= 1\div 5[/tex]
= 20%
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is your birth order related to your choice of college majors? a statistics professor at a large university polled his students to find out what their majors were
The birth order is related to the choice of major. The statistics professor at the university polled his students in finding out the majors and position based on family birth order.
What is statistics?Statistics, a branch of applied mathematics, is concerned with the collection of, description of, analysis of, and inferences from quantitative data. Major contributions to the mathematical theories underlying statistics come from probability theory, linear algebra, and differential and integral calculus.
Finding valid inferences about big groups and general events from the behavior and other observable characteristics of small samples is a major challenge for statisticians, or persons who study statistics. These small samples are representative of a small subset of a larger group or a small number of isolated occurrences of a widespread phenomena.
Almost all scientific fields, including the physical and social sciences, as well as business, the humanities, government, and manufacturing, use statistics. Fundamentally, statistics is an area of applied mathematics that resulted from the application of calculus and linear algebra, among other mathematical techniques, to probability theory.
(a) answer= (113/223) * 100= 50.6725%
(b) answer = (15/43) * 100 = 34.8837%
(c) answer = (15/113) * 100 = 13.27%
(d) answer = (15/223) * 100 = 6.7264%
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All tubes of watercolor paint at an art supply store have the same price. An artist has a coupon for $0.80 off each tube of paint she buys. She buys 12 tubes of paint and pays a total of $70.20 after the coupon is applied. Write an equation to find r, the regular price of each tube of paint. No need to solve the equation.
Answer:
R=70.20-$0.80(12)
Step-by-step explanation:
The following sequence of numbers is an arithmetic sequence.
2, 2.2, 2.02, 2.002, 2.0002, ...
A. True
B. False
The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18
Answer:
First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)
So we know that the two integers will be close to 8.48
Since they are consecutive, lets first test out 8 and 9
We multiply these two and get 72, which is the number we were looking for.
now we find their sum.
9 + 8 = 17
Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.
-9 + -8 = -9 - 8 = -17!
So, the answer you are looking for is E: -17
Jackie has a sandbox that has two parts. A diagram of the sandbox is shown.
What is the total volume of the sandbox?
19 cubic feet
d)) 48 cubic feet
4 ft
1 ft.
3 ft
4 ft
22 cubic feet
28 cubic feet
Answer:
48 cubic feet
Step-by-step explanation:
Answer:
The answer is 48ft
Step-by-step explanation:
Hope this helps
-7x-1(10-x)=-58
Using the the distributive property equation
______________________________
1.) To find the opposite of 10−x, find the opposite of each term:[tex]10[/tex] × [tex]-1=-10[/tex][tex]-x[/tex] × [tex]-1=-x[/tex]- This is another way of saying multiply each side by -1.
2.) Find the opposite of −x:[tex]-x=x[/tex]
- Since we have 2 negatives next to each other, one must be turned into a positive, in this case it's the x.
3.) Combine −7x and x:[tex]-7x+x=-6x[/tex]
- Combine them because you can only have one variable (x) in the end.
4.) Add 10 to both sides:[tex]-10+10=[/tex][tex]-58+10=-48[/tex]
- We do this to get rid of not only the 10 but the other numbers as well, and the only way to do so it to cancel them out.
5.) Divide both sides by −6:[tex]-6x[/tex] ÷ [tex]-6=x[/tex][tex]-48[/tex] ÷ [tex]-6=8[/tex]- We do this to get x alone with one number left over, and the only way to do so is to cancel everything out by dividing.
______________________________
Which choice shows y = 3x + 2 and y = 3x² correctly paired with their graphs?
The equation y = 3x + 2, the slope of the line is 3 and the y-intercept is 2. The line must pass through the y-axis at x = 2 with a positive slope. Graph A is correct.
Equation of a line and quadratic equationA line is defined as the distance between two points while a quadratic equation is an equation that has a leading degree of 2.
Given the equation y = 3x + 2, the slope of the line is 3 and the y-intercept is 2. The line must pass through the y-axis at x = 2 with a positive slope.
For the quadratic equation, it is exponential in nature and the graph will show a sharp increase along the y axis in the first graph.
Find the graph of the function is attached below.
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Answer:
Step-by-step explanation:
Its the last option!