4/5 × 2/3
= (4×2)/(5×3)
=8/15
I need help to find the slope of graph.
Answer:
slope m = - [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
You just really like math to answer this one ngl
Answer:
p(a tail on the second toss) = 4/8
p(exactly one head) = 3/8
p(a head on each of the last two tosses) = 2/8
Step-by-step explanation:
Cara brought $34.50 to the art supply store. she bought a brush, a sketchbook, and a paint set. the brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. cara had $2.00 left over after buying these items.
Using a system of equations, it is found that the cost of a paint set is of $19.50.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: cost of a paint set.Variable y: cost of a sketchbook.Variable z: cost of a brush.Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:
x + y + z = 32.50.
The sketchbook cost half the cost of the paint set, hence:
y = 0.5x.
The brush cost one third of the sketchbook, hence:
z = 0.3333(0.5x) = 0.1667x.
Then, to solve for x:
x + y + z = 32.50
x + 0.5x + 0.1667x = 32.50
x = 32.50/1.6667
x = 19.50.
The cost of a paint set is of $19.50.
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Find the coordinates of the midpoint of the lines joining the following pairs of points:. 1. (3,-6) and (5,8). 2. (-4,-2) and (1,-3)
Answer:
(4, 1)(-3/2, -5/2)Step-by-step explanation:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
M = (A +B)/2
__
1.M = (3 +5, -6 +8)/2 = (8, 2)/2 = (4, 1)
The midpoint coordinates are (4, 1).
__
2.M = (-4 +1, -2 -3)/2 = (-3, -5)/2 = (-3/2, -5/2)
The midpoint coordinates are (-3/2, -5/2).
Write in the missing numbers.
ordering intergers
Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.
How are integers ordered?Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.
Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.
If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.
An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:
= -800, -4, 1, 5, 52, 86
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please help.... thank you
Answer:
The first one is 1/2.
The second blank is 1 1/6
The third blank is 3/2
The fourth blank is 5/3
The fifth blank is 2 2/3.
The sixth blank is 2 5/6.
Help please
y + 4- 6(x +7)
Answer: y - 6x +46
Step-by-step explanation:
y + 4- 6(x +7)
y + 4 - 6x +42
y - 6x +46
You know that 3 pencils and 7 pens cost $24, while 3 pencils and 3 pens cost S12.
How many dollars are 4 pencils and 5 pens worth?
Answer:
5 pens = 15$ and 4 pencils = 4$
Step-by-step explanation:
7-3=4, so 4 pens is 12$
12/4 = 3, so 1 pen = 3$
Remove the pens from the equation
7x3=21
24-21=3
3/3=1, so each pencil costs 1$
4 pencils and 5 pens are worth $23.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let the cost of one pencil be x, and the cost of one pen be y.
Then we can set up the following system of equations based on the given information:
3x + 7y = 24 ...(1)
3x + 3y = 12 ...(2)
Solving these two equations, we can find that x = 2 and y = 3.
Now, we can use these values to find the cost of 4 pencils and 5 pens:
4x + 5y = 4(2) + 5(3) = 8 + 15 = $23
Therefore,
4 pencils and 5 pens are worth $23.
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find the remainder when x³-2x²+4x-2 is divided by (x-1/2)
Answer:
[tex]\sf \bf {remainder}: -\dfrac{3}{8}[/tex]
In order to find remainder:
Follow this short technique:
Set the divisor which is x-½ to zero.
x - 1/2 = 0
x = 1/2
Then insert this following into dividend.
x³ -2x² + 4x - 2insert x = ½
(½)³ - 2(½)² + 4(½) -2simplify
-3/8Answer:
-3/8
Step-by-step explanation:
Let's assume x - 1/2 is a zero of the polynomial :
Substitute x = 1/2 (the zero) in the equationx³ - 2x² + 4x - 2(1/2)³ - 2(1/2)² + 4(1/2) - 21/8 - 2(1/4) + 2 - 21/8 - 1/2-3/8-3/8 is the remainder.
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
X > 3
Step-by-step explanation:
When divided or multiplied by a negative number the inequality will change
An extension cord 6 yards long costs $8.46. What is the price per foot? There are 3 feet in 1 yard.
Submit
The extension cord is an illustration of unit rates, and the price per foot is $0.47 per foot
How to determine the price per foot?The given parameters are:
Length = 6 yards
Cost = $8.46
Convert the length from yard to feet.
So, we have:
Length = 6 feet * 3
This gives
Length= 18 feet
The price per foot is then calculated using:
Rate = Cost/Length
This gives
Rate = 8.46/18
Evaluate
Rate = 0.47
Hence, the price per foot is $0.47 per foot
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Mr. Edwards surveyed a total of 80 students in his first three classes in order to determine the numbers of students that have pets. Out of the 30 students in his 1st period class, 12 have no pets. Eighteen of the 27 students in his 2nd period class do have pets. Fourteen of the students in his 3rd period class do have pets. Construct a two-way table summarizing the data. Write the answers as whole numbers.
Answer:
the numbers of students that have pets 44
Step-by-step explanation:
One thousand unit cubes are fastened together to form a large cube with edge length 10 units; this is painted and then separated into the original cubes. The number of these unit cubes which have at least one face painted is:
Based on the number of unit cubes that are fastened together, the number of cubes which will have at least one face painted on is 488 cubes.
How many cubes will have one face painted on?The cubes formed one large cube which means that each surface is one cube deep. So two cubes will be painted.
The number of unpainted cubes per surface is therefore:
= 10 - 2
= 8 cubes
Number of unpainted cubes is:
= 8 x 8 x 8
= 512 cubes
Number of cubes with one face painted:
= Total cubes - Number of unpainted cubes
= 1,000 - 512
= 488 cubes.
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Ms. lewis has 20 students in her p.e. class.
she puts each student's name in a hat and will select
the names of 2 students at random as team leaders for
a volleyball game. how many different pairs of team
leaders could she choose?
Considering the definition of combination, she could choose 190 different pairs of team.
What is combinationCombinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.
To calculate the number of combinations, the following formula is applied:
[tex]C=\frac{m!}{n!(m-n)!}[/tex]
The term "n!" is called the "factorial of n" and is the multiplication of all numbers from "n" to 1.
Different pairs of team leadersMs. lewis has 20 students in her p.e. class. She puts each student's name in a hat and will select the names of 2 students at random as team leaders for a volleyball game.
So, you know that:
m= 20n= 2Replacing in the definition of combination:
[tex]C=\frac{20!}{2!(20-2)!}[/tex]
Solving:
[tex]C=\frac{20!}{2!18!}[/tex]
C= 190
Finally, she could choose 190 different pairs of team.
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Express 0.57 in the form p where p and q are integers o and q # 0
please give with correct step everyone
Answer:
57/100
Step-by-step explanation: 0.57 can also be written as 57/100 which is equal to 0.57
helppppp please !!!!
Please help me with this
The probability of not picking a red marble is 0.2.
The probability of picking a yellow or green marble is 0.5
The probability of drawing an even number of a number greater than 4 is 1.
The probability of getting heads and an even number is 1.
The probability of drawing a 2 or a 4 is 0.25.
What are the probabilities?Probability determines how likely it is for an event to happen. The chances of the event occurring lies between 1 and 0.
The probability of not picking a red marble = (number of all the marbles - red marbles) / total marbles
4/20 = 0.2
The probability of picking a yellow or green marble = (number of yellow marbles / total number of marbles) + (number of green marbles / total number of marbles)
2/20 + 8/20 = 10/20 = 0.5
The probability of drawing an even number of a number greater than 4 = (number of even numbers / total numbers) + (numbers greater than 4 / total numbers)
5/10 + 5/10 = 1
The probability of getting heads and an even number is = (side that is head / total sides) x (even numbers on a die / total numbers on a die)
1/2 x 3/6 = 1
The probability of drawing a 2 or a 4 = 1/8 + 1/8 = 2/8 = 0.25
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If f(1)=1f(1)=1 and f(n)=f(n-1)^(2)-1f(n)=f(n-1)
2
-1 then find the value of f(4)f(4).
Answer:
f(4) = 0
Step-by-step explanation:
For many sequences that involve recursive formulas, the quickest way to find the value of a given term is to evaluate those leading up to it. That seems to be the case here.
givenf(1) = 1f(n) = f(n -1)² -1findf(4)solutionThe next term after the one given is ...
f(2) = f(1)² -1 = 1² -1 = 0
Then we have ...
f(3) = f(2)² -1 = 0² -1 = -1
f(4) = f(3)² -1 = (-1)² -1 = 0
The value of f(4) is 0.
_____
Additional comment
Now that we have seen a few terms of the sequence, we can write an explicit formula for the terms after the first:
f(n) = (-1 +(-1)^n)/2 . . . integer n ≥ 2
A plane can fly 3952 kilometers in 3 hours. If the plane flies in cloudy skies, it can fly 184 less kilometers than usual within the same time. What is the speed for the plane flies in cloudy skies?
Answer:
18
Step-by-step explanation:
[tex]184 \times 3 = 59 \div 2 = \times \frac{?}{?} [/tex]
Sam is saving money to buy himself a new phone. He currently has $95. He is able to save about $20 a week. Let represent how much money he has saved, and the number of weeks that have passed since the current date. Choose the correct function rule.
a. s(w) = 95 + 20w
b. s(w) = 95w + 20
c. w(s) = 95s + 20
d. w(s) = 95 + 20s
Answer:
the correct answer is d
Step-by-step explanation:
w(s)=weeks saved and 20s is the gain of 20 dollars every week. and the 95 is the starting amount that sam had
A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
10 m
10 m
6 m
16 m
What is the value of B?
36 m2
48
18 m2
54 m?
30 m
The area of the base of the triangular prism is 48 square meters. Then the correct option is B.
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
The figure is shown below.
Then the area of the base of the triangular prism will be
[tex]\rm Area = \dfrac{1}{2} \times 16 \times 6\\\\Area = 48[/tex]
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Some paint is made by mixing 2 cans of white paint for every 5 cans of red
paint. To make the same tint, how many cans of white paint would you need if
you used 13 cans of red paint? Explain how you solved the problem.
Carmen will spend more than $35 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
Answer:
Anything more than $13
Step-by-step explanation:
Sam and his mother made an agreement for the upcoming weekend concerning internet usage and watching television. The function on the graph below represents the agreement they made.
What does the x-intercept represent?
Answer:
See below
Step-by-step explanation:
The x-intercept is where the line first passes the x-axis, or when y=0. In this case, if you are on the internet for 5 hours, then you have 0 hours to watch TV.
Answer:
sam is watching 5 hours on the internet and no time on the television
Step-by-step explanation:
What is the length of AP?
Answer: 4) 24
Step-by-step explanation:
The graph of g is a translation 4 unit down of the graph of f(x) = 6x-4. The rate of change of g over the interval -2 ≤ x ≤ 4 is
The function g(x) is a linear function, and the rate of change over the interval -2 ≤ x ≤ 4 is 6
How to determine the rate of change?The function f is given as:
f(x) =6x - 4
When translated down by 6 units, the rule of translation is:
g(x) = f(x) - 4
So, we have:
g(x) = 6x - 4 - 4
Evaluate
g(x) = 6x - 8
The rate of change over -2 ≤ x ≤ 4 is then calculated using:
g'(x) = [g(b) - g(a)]/[b - a]
So, we have:
g'(x) = [g(4) - g(-2)]/[4 + 2]
Evaluate
g'(x) = [g(4) - g(-2)]/[6]
Calculate g(4) and g(-2)
g(4) = 6 * 4 - 8 = 16
g(-2) = 6 * -2 - 8 = -20
So, we have:
g'(x) = (16 + 20)/6
Evaluate
g'(x) = 6
Hence, the rate of change over the interval -2 ≤ x ≤ 4 is 6
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what type of association would you expect to see between the length of a movie and the number of actors in the movie
Answer:
positive association
Step-by-step explanation:
The longer a movie is, the more screen time it will have, and the more actors it will probably need.
What is the answer please?
Step-by-step explanation:
this simply means that the coordinates are multiplied by the scale factor.
(a, b) -> (a×k, b×k)
that's it.
so, the first answer is correct.
Find the x-intercept and the y-intercept.
3x-2y=6
Show work to get Brainliest
Answer:
There are several different ways to get the x-intercept and y-intercept of an equation. The way that I usually do it is setting one of the variables to zero and finding what the other variable is equal to. For example, if we set x to 0 that means that we are finding the y-intercept as the value of x is 0 which is the y-axis. This is also how it works when setting y to 0. First lets find the x intercept by setting y to 0.
[tex]3x - 2y = 6[/tex]
[tex]3x - 2(0) = 6[/tex]
[tex]\frac{3x}{3} = \frac{6}{3}[/tex]
[tex]x = 2[/tex]
We now know that the x-intercept is 2 and now we need to determine what the y-intercept is. Now we can just set the x to 0 and find the y-intercept.
[tex]3x - 2y = 6[/tex]
[tex]3(0) - 2y = 6[/tex]
[tex]\frac{-2y}{-2} = \frac{6}{-2}[/tex]
[tex]y =- 3[/tex]
Therefore, we know that our x-intercept is (2, 0) and our y-intercept is (0, -3) because the first spot in the coordinate pair is the x-value and the second one is the y-value.
Hope this helps
7513% [tex]\frac{5}{3x^{2} }[/tex] x³ Find the Product Show All work!
[tex]\\ \rm\Rrightarrow \dfrac{7513/100\times 5x^3}{3x^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{75.13(5)x^3}{3x^2}[/tex]
[tex]\\ \rm\Rrightarrow {125.22x}[/tex]
