Answer: y=2−4x
Step-by-step explanation:
When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from both sides of the equation.
As a child gets older, will they be able to solve a puzzle faster? What is the dependent variable?
Answer:
the dependant variable is the time
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?
Answer: -13
Step-by-step explanation:
The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.
Distance = 7 + 5
Distance = 12 feet
Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
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2. Construct the perpendicular bisector of CD. Label the intersection of CD and the perpendicular
bisector point M. (5 points)
From c to d line
I need help fast
Answer:
Step-by-step explanation:
A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.
To bisect CD, draw CD to the required length.
Open the compass to a radius greater than the the middle of CD.
With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.
Join the point of intersection of the two arcs by a line.
Label the point where the bisector passes through CD as M.
The construction would be as what is attached to this answer.
The double number line shows that
4
44 pounds of almonds cost
$
34
$34dollar sign, 34.
Answer:
round them up
Step-by-step explanation:
Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 50 to 42
Answer:
16% decrease
Step-by-step explanation:
Practice isolating the variable to solve equations with
variables on both sides.
Assignment
Consider the equation 9 - 4x = 2x.
Which equation resulted from adding 4x to both sides to isolate the variable term?
O9-2x = 4x
O 9 = -2x
O 9 =6x
O 4x=2x-9
Answer:
9 =6x
Step-by-step explanation:
We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.
Answer:
9/6 or 1.5
Step-by-step explanation:
both are right
One sample has a mean of M=7.2 and a second sample has a mean of M=12.8. The two sample are combined into a single set of scores. a. What is the mean for the combined set if both the samples have n=5? b. What is the mean for the combined set if the first sample has n=5 and the second sample had n=35?
Answer:
a. M = 50
b. M = 242
Step-by-step explanation:
mean = [tex]\frac{sum of scores}{number of samples}[/tex]
⇒ sum of scores = mean x number of samples
Let the mean be represented by M, and the number of samples be represented by n,
sum of scores = M x n
a. When n = 5 for both samples,
The first sample's sum of scores = M x n
= 7.2 x 5
= 36
The second sample's sum of scores = M x n
= 12.8 x 5
= 64
The mean for the sum of scores of the combined set = [tex]\frac{36 + 64}{2}[/tex]
= 50
When both samples have n = 5, the mean of the combined set is 50.
b. When the first sample has n = 5, the sum of scores = 36.
If n = 35 for the second sample, the sum of scores = M x n
= 12.8 x 35
= 448
The mean for the sum of scores of the combined set = [tex]\frac{36 + 448}{2}[/tex]
= 242
Where in real life do you work with radical expressions and functions? Give an example of your own.
Question 3
1 pts
Which number could be used as a counterexample to show that the conjecture
"All multiples of 3 are odd" is false?
12
027
O 33
O 15
The correct answer is A. 12
Explanation:
In mathematics, odd numbers are those numbers that cannot be divided into 2 without using a decimal number, for example, 13 ÷ 2 = 2.5 (decimal number). This does not occur with even numbers such as 26 because these can be divided into 2 and the result is an integer rather than a decimal (26 ÷ 2 =13).
On the other hand, a counterexample is a situation that shows an exception to the rule. In the rule "All multiples of 3 are odd", one counterexample is the number 12 because this is an even number (12 ÷2 = 6). Moreover, this number is a multiply of 3 as 3 can be multiplied by 4 to obtain 12, which shows multiplies of 3 can be even numbers.
Seven oxide thickness measurements of wafers are studied to assess quality in a semiconductor manufacturing process. The data (in angstroms) are: 1264, 1288, 1272, 1304, 1280, 1301, and 1270. Calculate (a) the sample average and (b) sample standard deviation. Round both answers to 1 decimal places.
Answer:
a. Mean = 1,282.7 Angstroms
b. Standard deviation = 15.5
Step-by-step explanation:
a. Firstly, we are told to calculate the sample average. This is same as the mean;
Mathematically that would be;
The value of the sum of terms/ The number of terms.
= (1264 + 1288 + 1272 + 1304 + 1280 + 1301 + 1270)/7 = 8979/7 = 1282.7
b. Standard deviation
Mathematically, this is the square root of variance
= √{(x - mean)^2/N-1}
Please check attachment for the breakdown of this
What is the length of EF?
6 units
10
8 units
7 units
10%
-2 0
-2-
2 units
H Н
-4
G
-6
-B
10
Answer:
7
Step-by-step explanation:
There are 15 different pieces of cheese on the plate. Is it possible by dividing only one piece to divide all into two groups with equal weight and equal amount of pieces in each?
Answer:
It is possible.
Step-by-step explanation:
Each piece of cheese can be divided into two equal pieces.
Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.
Then there will be 15 pieces in each group.
Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.
Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.
Find a perimeter of the bouncy castle find the area of the bouncy castle 2X squared minus 3X +7 times X squared +4
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the length of the bouncy castle is X² +4 and the width is 2x² - 3x +7
The bouncy castle is a rectangle. A rectangle is a quadrilateral in which opposite sides are equal and all the angles have equal measures. The diagonals of a rectangle also bisect each other. The perimeter of a rectangle = 2(length + breadth), Hence for the bouncy castle:
Perimeter of castle = 2(length + breadth) = 2(x² + 4 + (2x² - 3x +7)) = 2(3x² - 3x + 11) = 6x² - 6x + 22
Perimeter of castle = 6x² - 6x + 22
The area of the castle = length × breadth = x² + 4 × (2x² - 3x +7)) = 2x⁴ - 3x³ + 7x² + 8x² - 12x + 28 = 2x⁴ - 3x³ + 15x² - 12x + 28
Need helppppppp!!!!Solve the absolute value equation: |3x - 6| = 12
Answer:
3x-6=12
3x-6=-12
x=6
x= -2
1st x = -2
2nd x = 6
Step-by-step explanation:
Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set, and what did he score on the exam?
Answer:
d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.Step-by-step explanation:
Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set and what did he score on the exam?{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)
a. Mateo scored a 55% on his exam. b. Mateo scored as well as or better than 55% of his classmates, with a score of 78. c. Mateo scored worse than 55% of his classmates, with a score of 78. d. Mateo scored as well as or better than 55% of his classmates, with a score of 82. e. Mateo scored worse than 55% of his classmates, with a score of 82. SolutionThere are scores of 20 students. Each score is equivalent of 100%/20 = 5%
The easy way to understand Mateo' s place is to compare scores against 5% slots.
See attached.
We can also get the average score
Sum
∑ {35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99) = 1556Average or mean score:
1556/20 = 77.8This is matching the 50% score.
As we see Mateo scored 82 which is matching 55%.
Correct option is d.
Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)
Answer:
(1/2), (3/2)
Step-by-step explanation:
midpoint fomula
(x1+x2)/ 2, (y1+y2)/2
(5-4)= 1 1/2 = (1/2)
(-1+4)=3 3/2=(3/2)
A : (x₁ , y₁) = (-4 , 4)
B : (x₂ , y₂) = (5 , -1)
Formula of [tex]\tt{midpoint}[/tex] is given by
◈ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
_________________________________
⇒ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
⇒ (x , y) = [5+(-4)]/2 , [-1+4]/2
⇒ (x , y) = 1/2 , 3/2
⇒ (x , y) = (0.5 , 1.5)-2X=-42
What do I do to this problem
The sum of three numbers is 82 The second number is 3 times the third. The third number is 8 more than the first. What are the numbers?
Answer:
22 46 15
Step-by-step explanation:
i looked it up because i was even confused. but i think this is right. hope this helps.
Today only, a table is being sold at a 62% discount. The sale price is $144.40.
What was the price yesterday?
$ 232.90
Step-by-step explanation:62% ........... $144.40
100% ..........$ x
x = 144.40×100/62
= 14440/62
= $ 232.90
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The selling price for a classic speedboat is $12,000. what was the speedboats original price if it is currently selling for $2,000 less than two times its original price?
Answer:
$7,000
Step-by-step explanation:
Let [tex]x[/tex] equal the original price.
[tex]12,000+2000=2x[/tex]
Combine like terms.
[tex]14,000=2x[/tex]
Divide by the coefficient of [tex]x[/tex], which in this case is [tex]2.[/tex]
[tex]7,000=x[/tex]
If you like the variable on the left, rewrite:
[tex]x=7,000[/tex]
A student moves into a bigger apartment that rents for $550 per month. That rent is $300 less than twice what she had been paying. Find her former rent in dollars.
$
Answer:
Step-by-step explanation:
Her former rent is $ x
Twice the former rent: 2*x = 2x
$300 less than 2x: 2x - 300
2x - 300 = 550
Add 300 to both sides
2x - 300 + 300 = 550 + 300
2x = 850
Divide both sides by 2
2x/2 = 850/2
x = 425
Her former rent = $425
In this question, the older and newer rents of a student in two apartments in given. And some conditions and information is also provided,
GiveN:
New rent = $ 550This is $ 300 less than twice the previousWe have find her rent in the previous apartment.
Let her previous rent be $ x
Then according to question,
➝ $ 550 = 2x - $ 300
Adding $ 300 both sides,
➝ $ 550 + $ 300 = 2x
Flipping it,
➝ 2x = $ 850
➝ x = $ 425
So, The previous rent of the student:
[tex] \huge{ \boxed{ \bf{ \$ \: 425}}}[/tex]
And we are done !!
#CarryOnLearning
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(7x+40)+(6x+43)=180 x? Z?
[tex](7x + 40) + (6x + 43) = 180\\7x + 40 + 6x + 43 = 180\\7x + 6x = 180 - 40 - 43\\13x = 97\\x = \frac{97}{13}[/tex]
I'm not sure what you mean by Z but x is [tex]\frac{97}{13}[/tex]
Jasmine is in charge purchasing tubes of silicone sealant, used for finishing
restroom facilities. She finds that she is able to purchase silicone sealant in cone
tubes. She knows that a jumbo cone of sealant has a top diameter of 8 inches and
a height of 12 inches, and a regular cone of sealant has a top diameter of 4 inches
and a height of 6 inches. Jasmine believes that with her order of sealant, that she
can get the same amount of silicone sealant from two regular cones as from one
jumbo cone,
a) Is Jasmina correct about the silicone sealant cones?
If you think Jasmina is correct explain why.
If you think she is incorrect replace the statement with one that is correct.
Explain why your statement is correct.
b) If the price for a regular cone of sealant is $3.40, what is a 'fair price' for a
jumbo cone?
Answer:
a) Jasmine or Jasmina is correct about the silicone sealant cones.
If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).
b) If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2).
Step-by-step explanation:
Jumbo cone of sealant has top diameter of 8 inches and a height of 12 inches
Regular cone of sealant has top diameter of 4 inches and a height of 6 inches
If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).
If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2), since two of the regular cone will give the value of a Jumbo cone.
Solve for t.
-3t + 3 – 7t = -90 – 7
Answer:
t = 10Step-by-step explanation:
-3t + 3 - 7t = -90 - 7
Simplify both sides of the equation
That's
- 10t + 3 = - 97
Using the subtraction property subtract 3 from both sides of the equation
We have
- 10t + 3 - 3 = -97 - 3
- 10t = - 100
Divide both sides by - 10
[tex] \frac{ - 10t}{ - 10} = \frac{ - 100}{ - 10} [/tex]
We have the final answer as
t = 10Hope this helps you
Answer:
Step-by-step explanation:
-3t + 3 - 7t = -90 - 7
-10t + 3 = -97
-10t = -100
t = 10
When using 3 letters to make an angle the middle letter is
Cost of wood is $9.50. How much would it cost Matt to buy 2 1/2 metres?
Answer:
23.75
Step-by-step explanation:
how this helped bye I would appreciated if u liked my comment tho
The cost of 2 1/2 meters of wood is $23.75
How to determine the cost of 2 1/2 meters?The given parameters are:
Unit rate = $9.50 per minutesNumber of meters = 2 1/2 metersThe total cost is then calculated as:
Total = 9.50 * 2 1/2
Evaluate the product
Total = 23.75
Hence, the cost of 2 1/2 meters of wood is $23.75
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if 49+ b2= 169, what is b2?
Colin Davis machine company maintains a general ledger
Step-by-step explanation:
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Write the expression: Five times the opposite of a number *
Answer:
5(-x)
Step-by-step explanation: