Answer:
Monday: 4 hours = $36
Tuesday: 6 hours = $54
Wednesday: 5 hours = $45
His earnings are proportional because, for each hour, Richard earns $9. Using the formula y = kx, k (the constant) is always the same:
36 = k × 4 (k = $9)54 = k × 6 (k = $9)45 = k × 5 (k = $9)Hope this helps!
graph the equation y=-3x-1
The graph of y=-3x-1 is given in the attachment.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given equation is y=-3x-1
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
In the given equation slope is -3.
Let us find few values of x and y.
x 0 1 2 3 4
y -1 -4 -7 -10 -13
Hence, the graph of y=-3x-1 is given in the attachment.
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3. Create a graph that shows three linear relationships with different y-intercepts using
the following slopes, and write an equation for each line.
Slopes:
●
5/5 5/5 115
3
y
Setting x = 0, we get the y-intercept: y = 31/5. So, the equation of the line is y = 6/5x + 31/5.
What does line intersect?In geometry, a line intersect is a point where two or more lines cross or meet. When two lines intersect, they share a single point in common, which is called the point of intersection. This point of intersection is the solution to the system of equations formed by the two lines.
by the question.
To find different y-intercepts using the given slopes, we need to use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. To find the y-intercept, we can set x = 0 and solve for y.
For slope 1/5, let's choose the point (2, 3) on the line. Using the point-slope form, we get:
y - 3 = 1/5(x - 2)
y - 3 = 1/5x - 2/5
y = 1/5x + 13/5
Setting x = 0, we get the y-intercept: y = 13/5. So, the equation of the line is y = 1/5x + 13/5.
For slope 3/5, let's choose the point (4, 2) on the line. Using the point-slope form, we get:
y - 2 = 3/5(x - 4)
y - 2 = 3/5x - 12/5
y = 3/5x + 8/5
Setting x = 0, we get the y-intercept: y = 8/5. So, the equation of the line is y = 3/5x + 8/5.
For slope 6/5, let's choose the point (-1, 5) on the line. Using the point-slope form, we get:
y - 5 = 6/5(x + 1)
y - 5 = 6/5x + 6/5
y = 6/5x + 31/5
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A new crew of painters takes two times as long to paint a small apartment as an experienced crew. Together, both
crews can paint the apartment in
6 hours. How many hours does it take the experienced crgy
paint the
apartment?
It takes
hours for the experienced crew to paint the apartment.
The solution is
Answer: Hence, the time taken by the experienced crew would be 9 hours.
Step-by-step explanation:
On a shelf at a gaming store, there are five Sony Playstations and three Nintendo Wii consoles left. If one gaming system is selected at random, find the probability that the system is a Wii console.
Step-by-step explanation:
a probability is always desired cases over total possible cases.
so, we have actually 8 systems (5 + 3) we can pick from.
therefore, the total possible cases are 8.
the desired case is in this question to pick one of the 3 Wii consoles.
the probability to pick a Wii is therefore
3/8 = 0.375
Answer:
3/8, or 37.5%
Step-by-step explanation:
There are 8 different playing devices there.
There are only 3 Nintendo Wii consoles.
So, the probability is 3/8
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 33 8
Female 66 16
Since P(male)×P(fail) = and P(male and fail) = , the two results are___ so the events are___
Since, P(male)*P(fail)= 0.33 and P(male and fail) = 0.33 , the two results are equal and independent.
What is Probability?
The possibility of outcome of any event is found by probability. as for an example whenever we toss a coin in the air, then what is the possibility that we get a head? Only based on possible outcomes we can answer this question. It is that part of events which deals with the results of random events. We can basically call it as prediction of any event that is based on study of previous record or the type and no of possible outcome.
Probability of happening of an event= Total no of favorable outcomes/ Total no of outcomes
Here in this question;
P(male/fail)= P(male and fail)/P(fail)
= \(\frac{8/123}{(8+16)/123}\)
=\(\frac{8}{24} = \frac{1}{3} = 0.33\)
P(male) = \(\frac{33+8}{123} = \frac{41}{123} =\frac{1}{3} = 0.33\)
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How does the structure of a leaf enable photosynthesis to take place?
PLEASE HELP I KNOW THIS IS NOT FOR MATH BUT I DID NOT FIND SCIENCE :(
Answer:
Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.
A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
A. 40 units^2
B. 56 units^2
C. 24 units^2
D. 16 units^2
The surface area of the cone is 16π square units.
What is the surface area of the cone?The surface area of the cone is given by;
⇒ Area = πrl + πr²
Here, We have;
A right cone has a slant height of 6 and a radius of 2.
Substitute all the values in the formula
⇒ Area = πrl + πr²
⇒ Area = π x 2 x 6 + π x 2²
⇒ Area = 16π
Hence, The surface area of the cone is 16π square units.
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y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.
The equivalent expressions to \(24^{-7}\) are given as follows:
C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)
F. \((24^3 \times 24^4)^{-1}\)
What are are equivalent expressions?Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.
The exponent in the denominator can be moved to the numerator with the changed signal, hence:
\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)
Applying the power of power rule, we multiply the powers, hence:
\((24^7)^{-1} = 24^{-7}\)
When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:
\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)
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Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x
The only equivalent expression is option (a) \(7^x\).
What is expression ?
An expression in mathematics is a group of symbols that represent a statistical correlation or quantity, such as integers, variables, and operators. It may contain exponents, logarithms, and trigonometric functions in addition to mathematical operations like addition, multiplication, multiplication, and division. It may also contain constants, variables, and functions. Expressions can be used in a variety of subjects, including mathematics, calculus, geometry, and statistics, to represent mathematical models, resolve equations, and carry out calculations.
To find equivalent expressions for\(21^x/3^x\), we can try to simplify the expression using exponent rules.
21 can be factored as 7*3, so we can write:
\(21^x/3^x = (7 × 3)^x/3^x = 7^x × 3^x/3^x = 7^x\)
Therefore, we can see that option (a) 7^x is equivalent to the given expression.
To check the other options:
b) \((7/3)^x\) = \((7^x)/(3^x)\) which is not equivalent to the given expression.
c) \(3^(2x+1)\) can be written as \(3^(2x)\) × \(3^1\) = \((3^2)^x\) × 3 = \(9^x\) × 3 which is not equivalent to the given expression.
d) \(7^(x-1)\) can be written as \(7^x/7\) which is not equivalent to the given expression.
e) \((3/7)^x\) is not equivalent to the given expression.
Therefore, the only equivalent expression is option (a) \(7^x\).
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The complete question is:
Which expressions are equivalent to \(21^x/3^x\)? Check all that apply.
a) \(7^x\)
b) \((7/3)^x\)
c) \(3^(2x+1)\)
d) \(7^(x-1)\)
e) \((3/7)^x\)
Line, line segment, angle,ray
Have many solutions does -4x + 6 + 3x = 12
Answer:
A) One solution
B) No solution
C) Infinite number of solutions
D) One solution
E) Infinite number of solutions
Step-by-step explanation:
There are 5 equations to solve:
A) - 4 x + 6 + 3 x = -12
combining like terms and solving for x gives:
- x + 6 = - 12
- x = -18
x = 18
which is a unique (ONE) solution
B) 5 (2 x - 2) = 10 x + 10
distributive property gives us: 10 x - 10 = 10 x + 10
then subtract 10 x from both sides and we get: -10 = 10 which is an absurd, therefore this equation has NO SOLUTION.
C) 6 x + 2 x - 8 = 8 (x - 1)
Combining like terms and using distributive property, we get:
8 x - 8 = 8 x - 8
which is an identity, So this is true for all possible x values, then the are INFINITE NUMBER OF SOLUTIONS
D) 2 x + 50 = 90
solving for x gives:
2 x = 40
x = 40/2
x = 20
which is a unique (ONE) solution.
E) 2 (x - 4) = 2 x + 10 - 18
Using distributive property and combining like terms we get:
2 x - 8 = 2 x -8
This is an identity which will give true for all real x-values. Therefore it has INFINITE NUMBER OF SOLUTIONS.
7.71 divided by 10 I don’t get how to do this
Answer: 0.771 you are welcome
How would I write 4 less than half a number is 12 as an equation?
Answer:
\(4 - \frac{1}{2}x = 12 \)
I hope it helps
please mark me brainliest
Answer:
\(number = x \\ \frac{x}{2} - 4 = 12 \\ \frac{x}{2} = 12 + 4 = 16 \\ \frac{x}{2} = 16 \\ x = 16 \times 2 = 32\)
What are the outputs of the function below?
-6, -3, 1, 5
-6, -3, 4, 6
-8, 2, 4, 6
-8, 2, 1, 5
Answer:
\(5 { \times 54}^{2} \)
10.What is the value of x in the equation 4121 + 1) = 27 + 3(2x - 5)?
Answer:
x=685
Good Luck!!!
Answer:
try 685
Step-by-step explanation:
. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
My question is
6( 2x - 3)-8=-2
Answer:
x = 2
Step-by-step explanation:
Apply the distributed property: 12x - 18 - 8 = -2Combine like terms: 12x - 26 = -2Add 26 to each side, so it now looks like this: 12x = 24Divide each side by 12 to cancel out the 12 next to x. It should now look like this: x = 2I hope this helps!
Cai drove 189 miles in 7 hours. If he continued at the same rate, how far would he travel in 12 hours?
324 Miles
If you divide 189 by 7, you get 27. If you then multiply 27(miles per hour) by 12(hours) you get 324.
Liz works as a lifeguard at her community pool and at the beach. On Saturday, she worked at the pool for 6 hours and earned $46.50. On Sunday, she worked at the beach for 5 hours and earned $46.25. How much more per hour did Liz earn at the beach than at the pool?
$
per hour
Liz earned $1.50 per hour more working as a lifeguard at the beach than at the pool.
An hour is a measure of time that is traditionally thought of as 1/24 and that, according to science, lasts between 3,599 and 3,601 seconds, depending on how quickly the Earth rotates. There are 24 hours in a day and 60 minutes in an hour.
On Saturday, Liz worked at the pool for 6 hours and earned $46.50.
Then,
The amount per hour that Liz worked at the pool is:
= $46.5 ÷ 6 = $7.75
On Sunday, Liz worked at the beach for 5 hours and earned $46.25.
Then,
The amount per hour that Liz worked at the beach is:
= $ 46.25 ÷ 5 = $9.25
Now,
The amount per hour Liz made more earn at the beach is:
= $9.25 - $7.75
= $1.50
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A building has 2 front doors, 2 doors on the left side, 2 back doors and 2 doors on the right side. How many different ways can you enter and leave the building if you enter through the front door and then leave through any of the other doors?
12 because you can enter through 2 front doors. Let's call them A and B. You enter through A and you have 6 doors to leave through. You enter through B you have 6 doors to leave.
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
The balance in Petra's account is -$32.50. The balance in Joh
account is $34.60. Who owes less money?
Explain please
Answer:
jon
Step-by-step explanation:
he owes less because his banks account is not in the negitives
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amount she should pay?
Answer the question or don't type at all.
Answer:
$78 i think
Step-by-step explanation:
20%=20/100
20/100x65=13
13+65=78
$78
Please help me on this!!
Ne d help with the last question of f the day #6
Answer:
Solution: (3, 5)
Explanation:
To graph the lines we need to identify two points for each line.
So, for y = x + 2, we get
If x = 0
y = 0 + 2 = 2
If x = 2
y = 2 + 2 = 4
For y = 2x - 1, we get
if x = 0
y = 2(0) - 1 = -1
If x = 1
y = 2(1) - 1 = 2 - 1 = 1
Then, we will use the points (0, 2) and (2, 4) for y = x + 2 and (0, -1) and (1, 1) for y = 2x - 1.
Therefore, the graph of the lines is
So, the intersection point is (3, 5). It means that the solution is (3, 5)
20 POINTS AND BRAINLIEST!!!! PLEASE HELP!!!
Explain how the Distributive Property can be used to eliminate the fractions in the equation 15x+8=110x+9.
Answer:
x= -1/95
Step-by-step explanation:
Step 1: Subtract 110x from both sides.
15x+8−110x=110x+9−110x
−95x+8=9
Step 2: Subtract 8 from both sides.
−95x+8−8=9−8
−95x=1
Step 3: Divide both sides by -95.
−95x
−95
=
-1/95
x=
−1/95
Using distributive property the solution of the equation is x= −1/95
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
Given that the equation; 15x + 8 = 110x + 9.
Step 1: Subtract 110x from both sides.
15x + 8 − 110x = 110x + 9 − 110x
−95x + 8 = 9
Step 2: Subtract 8 from both sides;
−95x + 8 − 8 = 9 − 8
−95x = 1
Step 3: Divide both sides by -95;
x= −1/95
Hence, Using distributive property the solution of the equation is x= −1/95
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Question
Gabrielle is
7
years older than Mikhail. The sum of their ages is
91
. What is Mikhail's age?
Answer:
42
Step-by-step explanation:
Since Gabrielle is 7 years older than Mikhail, we subtract 7 from 91. Then we divide it by 2. So 84/2=42. Since Gabrielle is 7 years older we add 7 to 42. She is 49 and Mikhail is 42 years old. To double check our answer we should add both of the ages we got to make sure they add up to 91, so 42+49 is 91.