Answer:
it will always be 1
Step-by-step explanation:
lets make an equation
pick a number : x
add 2 : x+2
multiply by 3 : (x+2)*3
subtract 3 : (x+2)*3-3
divide by 3 : ((x+2)*3-3)/3
if you simplify, you will get 1
step by step simplification
(x+2)*3 = 3x+6
3x+6-3=3x+3
(3x+3)/3 = x+1
x+1-x=1
Final answer:
The algebraic equation for the given math trick is: (((((x + 2) * 3) - 3) / 3) - x).
Explanation:
To represent the math trick you described algebraically, we can use the variable x to represent the initial number you pick. Following the steps you provided, the algebraic equation would be: ((((x + 2) * 3) - 3) / 3) - x. Let's break down each step:
Start with the initial number x.Add 2: x + 2.Multiply by 3: (x + 2) * 3.Subtract 3: ((x + 2) * 3) - 3.Divide by 3: (((x + 2) * 3) - 3) / 3.Subtract the original number x: ((((x + 2) * 3) - 3) / 3) - x.You roll a number cube two times. How many outcomes are possible? Please explain work.
The total number of possible outcomes when rolling a six-sided number cube twice is 36. This is calculated by multiplying the 6 possible outcomes from the first roll with the 6 possible outcomes from the second roll.
When you roll a six-sided number cube two times, you create a series of possible outcomes that can be categorised by understanding that each roll is independent of the other. On the first roll, you have 6 possible outcomes (1, 2, 3, 4, 5, or 6), and for the second roll, regardless of what the first number was, you again have 6 possible outcomes. To find the total number of outcomes possible when rolling a cube twice, you multiply the number of outcomes for each event. So, we calculate the total outcomes with 6 (for the first roll) times 6 (for the second roll), which equals 36 possible outcomes.
This means that rolling two dice can lead to one of thirty-six different combinations, where the first number of the pair corresponds to the result of the first roll and the second number to the result of the second. For instance, if you first roll a 4 and then a 3, one possible outcome is (4,3).
It is important to note that when calculating probabilities for specific sums of the two dice, such as the probability of rolling a seven, the outcomes are not all equally likely. If we consider the sum of the dice, rolling a two is less likely than rolling a seven because there's only one combination (1,1) for a sum of two, while there are six combinations (1,6; 2,5; 3,4; 4,3; 5,2; 6,1) for a sum of seven.
The total weight of a fully loaded coal truck is 4 tons. The ratio of the weight of the truck to the weight of the coal is 7:5. What is the weight of the truck and the coal?
Answer:
Step-by-step explanation:
total weight is 4 tons.
ratio of weight of truck to weight of coal is 7:5....added = 12
so 7/12 of the total weight is the truck's
and 5/12 of the total weight is the coal
7/12 of 4 tons = 7/12 * 4 = 28/12 = 2 1/3 tons <== weight of truck
5/12 of 4 tons = 5/12 * 4 = 20/12 = 1 2/3 tons <== weight of coal
. If the perimeter of a rectangle is 18x + 4 what is the length of the missing side?
2X-3
Answer:
Step-by-step explanation:
Let the length b y
Width = 2x - 3
Perimeter = 18x + 4
And
Perimeter = 2(l + w)
18x + 4 = 2(y + 2x - 3)
Dividing through by 2
9x + 2 = y + 2x - 3
Making y as subject
y = 9x - 2x + 2 + 3
y = 7x + 5
The missing side is 7x + 5
Aaden is packing boxes into a carton that is 8 inches long, 8 inches wide, and 4 inches tall. The boxes are 2 inches long, 1 inch wide, and 1 inch tall. How many boxes will fit into the carton?
Answer:
first multiply length×width×height,of the carton
8×8×4=256
then multiply length×width×height for boxes
2×1×1=2
divide 256 by 2
256÷2=128
How do i solve the problem 7+7+7=3×
Answer:
x=7
Step-by-step explanation:
7+7+7=3*?
7+7+7 is basically 3 sevens, which is equivalent to 3*7 or 7*3. So x=7.
Answer:
x=7
Step-by-step explanation:
7+7+7=3x
14+7=3x
21=3x
x=21/3
x=7
What is an example of response bias
Answer with Explanation:
"Response Bias" refers to a pattern consisting of incorrect responses. Sometimes the question's way of wording may contribute to such kind of bias in responses. One question that could lead to a response bias is asking with the use of leading questions.
For example, "You don't want classes to start any earlier, do you?"This kind of question unduly favors the other option. Thus, the response would be biased.
Another situation which may lead to a response bias is the lack of privacy when answering survey questions. The respondent will feel pressured while being monitored, thus leading to a biased response. They will also choose the option that they think are socially acceptable.
Another example is providing respondents a scale of 1-5, when it comes to restaurant service. It becomes natural for them to choose the extremes, which are 1 and 5. These responses are mostly affected by a person's culture.
The following stem and leaf plot shows the number of students at the local recreational center each day at 4 PM.
A stem and leaf plot is shown.
Which data set is represented by this plot?
A.0, 2, 2, 2, 2, 2, 4, 5, 5, 6, 6, 6, 6, 9
B.16, 22, 25, 26, 34, 35, 39, 42, 50, 72
C.16, 22, 22, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72
D.5, 22, 22, 24, 24, 27, 43, 52, 53, 61, 62, 62, 62, 93
Answer:
A
Step-by-step explanation:
By leaf plot...
==============================================================
Explanation:
The first row has a stem of 1 and a leaf of 6. The stem and leaf combines to 16. For this problem, the stem will always be the tens digit while the leaf values will be the units digit. If there are multiple leaves for a given row, then we use the same stem value.
In row 2, we have "2" as the stem and multiple leaves. The first three leaves for this row are {2, 2, 5}. They pair up with the stem to form the values 22, 22, 25.
So far the data set is 16, 22, 22, 25. Only choice C has this sequence of values at the start of it. Choice B comes close, but it does not have a second copy of 22. So we cross choice B off the list. Choice D is off the list because the first value '5' is not represented on the stem and leaf plot (the stem would be 0 to represent the value 05 which is just 5). Choice A is false for similar reasons.
Simplify this expression.
1 + 4.25n + 32p – 3 + (–2p) + 54n
A. 5.5n – 12p – 2
B. 9.5n + 1.5p – 2
C. 94n − 1.5p − 4
The correct expression to simplify is:
[tex]1+4.25n + 3/2p -3+(-2p)+5/4n[/tex]
Answer:
[tex]5.5n-1/2p-2[/tex]
Explanation:
1. Given expression:
[tex]1+4.25n + 3/2p -3+(-2p)+5/4n[/tex]
2. Group like terms:
[tex](1-3)+(4.25n+5/4n)+(3/2p-2p)[/tex]
3. Simplify:
1 - 3 = - 24.25n + 5/4n = 4.25n + 1.25n = 5.5n3/2p - 2p = 1.5p - 2p = - 0.5p = - 1/2p[tex]-2+5.5n-1/2p=5.5n-1/2p-2[/tex]
what is the correct answer?
Answer:
D) 8
Step-by-step explanation:
You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.
96 = 12x
/12 /12
8 = x
Nathan has 80 us stamps,64 Canadian stamps,and 32 Mexican stamps. He wants to put the same number of stamps on each page. Each page will have stamps from only one country. What's the greatest number of stamps that he can put on each page?
Answer:
The greatest number of stamps that Nathan can put on each page = 16.
Step-by-step explanation:
Given:
Nathan has:
80 US stamps
64 Canadian stamps
32 Mexican stamps
The stamps need to put on a page such that each page has same number of same country stamps on each page.
To find the greatest number of stamps he can put on each page.
Solution:
In order to find the greatest number of stamps Nathan can put on each page, we will find the G.C.F. of the three numbers.
The numbers are:
[tex]80,64,32[/tex]
We will list down the prime factors of each number.
[tex]80=2\times 2\times 2\times 2\times 5[/tex]
[tex]64=2\times 2\times 2\times 2\times 2\times 2[/tex]
[tex]32=2\times 2\times2\times 2\times 2[/tex]
The G.C.F can be given as = [tex]2\times 2\times 2\times 2[/tex] = 16
Thus, the greatest number of stamps that Nathan can put on each page = 16.
I need help solving these problems--Images down below.
On the long word problem, I was given hints:
X=Less than 5 weeks
Y=Less than 200
- Use substitution instead of graphing.
Answer:
all work is pictured and shown
One Direction makes $46,000 per show. How much money do they make after 100 shows?
Step-by-step explanation:
$46,000×100=$4,600,000
To find the total earnings from 100 shows for One Direction making $46,000 per show, multiply the earnings per show by the number of shows to get $4,600,000.
The total earnings from 100 shows for One Direction can be calculated by multiplying the earnings per show by the number of shows.
Given that they make $46,000 per show, the total earnings after 100 shows would be $46,000 x 100 = $4,600,000.
Therefore, One Direction would make $4,600,000 after 100 shows.
Tristan wants to buy 12 cupcakes. Each cupcake costs $2.40. What is the best estimate for how much money Tristan should bring with him to pay for cupcakes ?
Answer: $28.80
Step-by-step explanation:
Answer: $30.00
Step-by-step explanation:
Because of he wants to buy 12 and they cost 2.40 then you multiply both of the 12 ans 2.40 and you get 28.8. Round it up to 30.00.
Find the perimeter of the polygon
Answer:
The perimeter of the polygon is 48 cm.
Step-by-step explanation:
Given: [tex]\angle B \cong \angle D[/tex]
To find the perimeter of the polygon, we need to find the lengths of the AB, BC, CD and DA
Since, [tex]\angle B \cong \angle D[/tex] and to find the length, from circle theorem, "Two tangents from an external point to a circle are always equal in length".
From this statement we shall conclude,
The length of [tex]AB=5+6=11[/tex]
The length of [tex]BC=6+7=13[/tex]
The length of [tex]CD=7+6=13[/tex]
The length of [tex]DA=6+5=11[/tex]
Thus, the perimeter of the polygon is
[tex]\begin{aligned}\text {Perimeter} &=A B+B C+C D+D A \\&=11+13+13+11 \\&=48 \mathrm{cm}\end{aligned}[/tex]
Hence, the perimeter of the polygon is 48 cm.
some body please help me!!!!!!
Surface area of a cube = 486 square inches
Solution:
Given each side of a cube = 9 inches
Net of a cube has 6 squares.
Area of square = side × side
Area of 1 square = 9 × 9 = 81 square inches
Surface area of a cube = Area of 6 squares
= 6 × (side × side)
= 6 × 81
= 486 square inches
Hence, surface area of a cube is 486 square inches.
Antonio has $350 to spend on skis. Sales tax is 6%. Decide if each description of a price and discount, plus sales tax, represents a pair of skis that Antonio can purchase with the money he has .
Choose Yes or No for each description
a. 25% off $450 Yes or No
b. 20% off $385 Yes or No
c. $20 off $360 Yes or No
d. 15% off $380 Yes or No
e. $10 off $340 Yes or No
Answer:
False
Step-by-step explanation:
How to solve b/2= -4
Answer:
b = -8
Step-by-step explanation:
crossmultiply
9 goes into 300 how many times
Answer:
300/9 = 33.33 repeating
Step-by-step explanation:
9 can go into 300, 33 times with a remainder of 3.
Which number sentence is true?
BRAINLIEST GETS 15 POINTS !!!
A. –39.6 ÷ 4.8 = 8.25
B. –39.6 ÷ (–4.8) = –8.25
C. 39.6 ÷ –4.8 = 8.25
D. –39.6 ÷ (–4.8) = 8.25
Answer:
the answer in D
Step-by-step explanation:
i just took the test and it was correct :)
The correct answer is option D. -39.6 ÷ (- 4.8) = 8.25
Canceling out is a mathematical process used for removing subexpressions from a mathematical expression when this removal does not change the meaning or the value of the expression because the subexpressions have equal and opposing effects.
Conclusion: The plus and minus signs, + and −, are mathematical symbols used to represent the notions of positive and bad, respectively. in addition, + represents the operation of addition, which results in a sum, while − represents subtraction, resulting in a difference.[1] Their use has been extended to many other meanings, more or less analogous. Plus and minus are Latin terms meaning "more" and "less", respectively.
When you see the other option you will find even after the cancelation of the minus sign the end results have either a faulty positive or negative sign.
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I need the answer please ;/
Answer:Q
Step-by-step explanation: EF is a segment. k is not uppercase. and MN is a line. So only Q could work.
3/?= 2/1.25 can you answer this for me please
Answer:
3/15/8=2/1.25
Step-by-step explanation:
Answer:
see attached work shown
how many days in one week?
Answer:
7 , Monday, Tuesday, Wednesday, Thursday, Friday, then you have you r weekend Saturday, Sunday, then you restart the week . :)
Step-by-step explanation:
Answer:
7 days in 1 week
Step-by-step explanation:
Count the days. (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday)
Solve for 6x+4(3)=8(x+4)-2
Answer: x = -9
Step-by-step explanation: 6x + 4(3) = 8( x + 4) -2
0pen brackets and collect like terms,
6x + 12 = 8x + 32 -2
collect the like term
6x + 12 = 8x + 32 -2
6x -8x = 32 -2 - 12
-2x = 18, divide through by -2
Therefore x = -9
Which function is the inverse of y=x-6?
Answer:
Step-by-step explanation:
y = x - 6
to find the inverse, switch x and y and solve for y
x = y - 6
x + 6 = y...rearrange
y = x + 6 <== ur inverse
The inverse of the equation y = x - 6 is achieved by swapping x and y and then solving for y. This results in the equation y = x + 6, which is the inverse function.
Explanation:The function that is the inverse of y = x - 6 can be found by switching the x and y in the equation, then solving for y. By performing this operation:
1. Switch x and y: x = y - 6
2. Solve for y: y = x + 6
Therefore, the inverse function of y = x - 6 is y = x + 6.
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Find the cosine of T.
Answer:
c o s t = x \displaystyle P: \text{cos}t=x P:cost=x.
Step-by-step explanation:
The cosine of t is equal to the x-coordinate of point P
Kara spends $16 on tubes of paint and paint brushes. A tube of paint costs $3 and a paint brush costs $.50. Kara purchases twice as many brushes as tubes of paint. How many tubes of paint and how many brushes did she buy?
Answer: 3(4) + .5(8) = 16
Step-by-step explanation:Replace b with 2p in the 1st equation
3p + .50(2p) = 16
3p + 1P = 16
4p = 16
p = 16/4
p = 4 tubes of pain
then
b = 2(4)
b = 8 brushes
Kara bought 4 tubes of paint and 8 brushes, given the total cost of $16, the price per tube of paint is $3, and the price per brush is $.50.
Explanation:The question is asking how many tubes of paint and brushes Kara bought if she spent a total of $16, each tube of paint costs $3, each brush costs $0.50, and the number of brushes is twice the number of tubes of paint. To solve this problem, we can denote the number of paint tubes as x and the number of brushes as 2x.
So we set up the equation considering the total amount spent: $3x + $0.50(2x) = $16. This simplifies to:
$3x + $1x = $16 $4x = $16 x = 4
So, she bought 4 tubes of paint and 2 times that number of brushes, which is 8 brushes.
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Which inequality is represented by the graph?
A. y≤53x−3
B. y<35x−3
C. y>53x−3
D. y<53x−3
Answer:
y<5/3x-3 or D.
Step-by-step explanation:
took the test :)
The inequality y < 5/3 x - 3 represents the graph so option (D) will be correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Given the inequality,
y < 5/3 x - 3
For x = 0
y < -3 it means graph should be decreased from (-3,0).
For y = 0
x > 9/5
x > 1.8
It means the graph should increase from (1.8,0).
Since this inequality is represented so it will be correct.
Hence "The inequality y < 5/3 x - 3 represents the graph".
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Fast answer pls. No stupid answers
First one.
y = -2x + 3
5x - (-2x + 3) = 11
y = -2x + 3
5x + 2x - 3 = 11
//
7x = 14
x = 2
y = - 2(2) + 3 = - 4 + 3 = - 1.
One x, one solution.
If a lb of beef cost $4.25, how much would 1 1/4 lb cost?
Step-by-step explanation:
$4.25×1 1/4=$4.25/1×5/4=$21.25/4=$5.25
Answer:it would cost 5.25
Step-by-step explanation:
-4 times a number plus 29
Answer:
-4x + 29
Step-by-step explanation: