Select the statement that describes this expression: fraction 1 over 2 x (734 − 246).
Half the sum of 734 and 246
fraction 1 over 2 the difference between 734 and 246
fraction 1 over 2 the quotient of 734 and 246
2 times the difference between 734 and 246
Mrs Rohit gave a total of $64.90 to her three sons. The eldest son receive $4.30 more than the youngest son. The second son received $7.80 less than the youngest son. How much did the eldest son received?
NO ALGEBRA PLEASE! I HAVENT LEARN IT YET!
Answer: $25.90
Step-by-step explanation:
We will have x as the youngest son's share, (the youngests son's share is the basis)
(x + 4.30) as the eldest son's share, (the eldest received 4.30 more than the youngest)
(x - 7.80) as the second son's share, (the second received 7.80 less than the youngest)
and 64.90 as their share altogether.
To find the youngest son's share:
(x) + (x + 4.30) + (x - 7.80) = 64.90
x + x + 4.30 + x - 7.80 = 64.90
x + x + x = 64.90 - 4.30 + 7.80 (group all of the like terms together. variables with variables, numbers with numbers. 4.30 became negative since it was moved to the other side, the same happened with 7.80 since it was a negative, it became a positive when it moved to another side)
Solve...
x + x + x = 64.90 - 4.30 + 7.80
3x = 68.40 (divide both sides by 3)
[tex]\frac{3x}{3} = \frac{68.40}{3}[/tex]
x = 22.80
(The youngest son's share is $22.80)
To get the eldest son's share:
x + 4.30 (substitute x since it has already been solved)
22.80 + 4.30 = 27.10
The eldest son's share is $27.10
That’s the Answer in the right order
Answer:
3rd one
Step-by-step explanation:
i hope have a great day
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
Select a card from a set of cards with the letters A through D, then spin this once.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.
Select a card from a set of cards with the letters A through N, then spin this once.
The set of actions that should be used is: toss a coin twice, then roll a 6-sided number cube
Which sets of actions can he use to have a statistically fair game?
We know tath the game has 24 possible outcomes. Then we need to find a set of actions that gives 24 different outcomes all with the same probability.
Of the given options, the only one that has a sample space of 24 elements is the first one.
Toss a coin twice and then roll a D6.
For each coin toss, the outcomes are 2 (tails and heads).
For the D6 there are 6 outcomes (1, 2, 3, 4, 5, 6)
Then the total number of outcomes for two tosses and rolling the number cube is given by the product between the numbers of outcomes for each individual part:
C = 2*2*6 = 4*6 = 24.
From this, we conclude that this is the correct option.
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Answer:
the correct ones are
2, Select a card from a set of cards with the letters A through D, then spin this once.
5,Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
6, spin this and roll an 8-sided number cube with the digits 1 to 8.
Step-by-step explanation:
so basically both the colored wheel answers and the one with the coin and cube
plato 2022
Which ordered pair is a solution of the equation?
4x -1 = 3y + 5
(2,3)
(3,2)
(1,1)
(9,10)
Answer:
(3, 2)
(9, 10)
Step-by-step explanation:
Ordered pairs (3, 2) and (9, 10) is the solution of the equation 4x -1 = 3y + 5
4x -1 = 3y + 5 (given)Lets us check for (3, 2)L.H.S. = 4x - 1 = 4(3) - 1 = 12 - 1 = 11 (plug x = 3)R.H.S. = 3y + 5 = 3(2) + 5 = 6 + 5 = 11 (plug y = 2)-> L.H.S. = R.H.S.-> Ordered pair (3, 2) is a solution of the given equation.Similarly, ordered pair (9, 10) is also a solution of the given equation because L.H.S and R. H.S. are equal to 35 on plugging x = 9 and y = 10.A ladder 5m long rests against a house and makes an angle of 720 with the ground. How far does the ladder reach up the wall?
There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled. How many rolls of film did Adelle use?
Answer:
Total pictures = 84+12 = 96
roll of films = 96 / 24 = 4
she used 4 rolls
What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of time. B. This type of credit is sometimes referred to as a consumer loan. OC. This type of credit is commonly used for big ticket things like mortgages or car loans. Payments typically stay the same amount from month to month.
Answer:
Option B
Step-by-step explanation:
Open end credit 's biggest example is our credit card
You use credit card and take the money borrow from bank as per your requirement.If you pay in time your credit score increases else decreases.Option B is correct
Angie read 2 books in 5 days, and each book contained 330 pages. If Angie read the same number of pages each day, how many
pages did she read per day?
A. 73
В. 330
C. 132
D. 660
Answer:
C. 132
Step-by-step explanation:
330 x 2(books) = 660(total pages)
Multiply. 132(pages?) x 5(days)
= 660
two parallel lines are cut by a transveral.
if the measure of 1 is 45 degrees, what is the measure of 5
135
180
45
90
Answer:
is C). 45
Step-by-step explanation:
Look at the diagram. Which angle is supplementary to A. B. C. D.
The angles supplementary. to ∠DOC are ∠DOA and ∠COB.
What is supplementary angle?Two angles are called supplementary when their measures add up to 180 degrees.
1. Take, ∠COB:
So, ∠DOC+ ∠COB = ∠DOB = 180°. (Linear pair)
Hence, ∠DOC and ∠COB are supplementary.
2. Now, take angle DOA:
∠DOC + ∠DOA = ∠COA = 180°. (Linear pair)
Thus, ∠DOC and ∠DOA are supplementary.
Hence, the angles supplementary. to ∠DOC are ∠DOA and ∠COB.
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2.2 Determine the general solution of 2.2.1 3 sin x = cos x
2.2.2 2 cos²x + 5 sin x = 4
Step-by-step explanation:
try this solution, note, the answers are underlined with green colour.
What is the third angle on a triangle with angels of 45 and 45?
- - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
what is the third angle of a triangle with angles of 45 and 45?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Angles in a triangle always add up to [tex]\bold{180\textdegree}[/tex].
❖ Here we are given 2 angles:-
45 and 45, which add up to 90.
❖ Subtract 90 from 180:-
90
✶ So the angles are 45, 45 and 90.
Good luck.
- - - - - - - - - -- - - - - - - - - - -- - - - - - - - - -
Answer:
90 degrees.
Step-by-step explanation:
As there are 180 degrees in a triangle
third angle = 180 - 45 - 45 = 90 degrees.
A contalner holds 44 cups of water. How much is this in gallons?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
5 1/4 gallons
Step-by-step explanation:
Hope this helps and have a nice day
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
D) infinitely many solutions
Steve cycled 35 miles in 2 1⁄2 hours. What is the average speed that Steve traveled?
Answer:49 miles per hour
Step-by-step explanation: 14 miles times 35 miles = 490
but the 0 will not matter so steve was going 49 miles per hour
HOPE THIS HELPS YOU:)
Evaluate the determinant
Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3
Answer:
y = 2x - 1
Step-by-step explanation:
y - 2x + 2 = 1
6x - 3y = 3
[tex]y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1[/tex]
Plug in for y:
6x - 3(2x - 1) = 3
6x - 6x + 3 = 3
Simplified, 3 = 3
Answer: this solution has infinite solutions
Step-by-step explanation:
original system:
y-2x+2 = 1
6x-3y = 3
Move 2 to right side of equation
y -2x = -1
-3y+6x = 3
solve for y in first equation
⇒ y = 2x - 1
insert y into second equation
⇒ -3(2x-1) + 6x = 3
simplify
⇒ -6x+3+6x = 3
simplify once more
⇒ 3 = 3
this solution has infinite solutions
Im giving 100 Points to anyone who could solve this for me please.
In the segment below, segment DC = 29,
Answer:
AB = 27.2
BC = 33.5
AC = 50.4
∠A = 38°
∠ABC = 112°
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)[tex]\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}[/tex]
[tex]\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}[/tex]
[tex]\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)[/tex]
[tex]\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}[/tex]
[tex]\implies \sf BD=29\tan(30^{\circ})[/tex]
[tex]\implies \sf BD=\dfrac{29\sqrt{3}}{3}[/tex]
[tex]\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}[/tex]
[tex]\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}[/tex]
[tex]\implies \sf AB=27.2\:(nearest\:tenth)[/tex]
[tex]\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}[/tex]
[tex]\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}[/tex]
[tex]\implies \sf AD=21.4\:(nearest\:tenth)[/tex]
[tex]\implies \sf AC=AD+DC=21.4+29=50.4[/tex]
The interior angles of a triangle sum to 180°
⇒ ∠A + 52° + 90° = 180°
⇒ ∠A = 180° - 90° - 52°
⇒ ∠A = 38°
⇒ ∠ABC + 38° + 30° = 180°
⇒ ∠ABC = 180° - 38° - 30°
⇒ ∠ABC = 112°
**I have checked the measures using a graphing programme - see attached**
URGENT which of the following linear equations represents the data chart
Answer:
y = -x + 7
Step-by-step explanation:
y = x + 5 works for the first row, but fails for the rest.
y = x + 3 fails for the first row
y = -x + 7 works for the first row ( -1 + 7 = 6)
It works for the second row ( -2 + 7 = 5)
It works for the third row ( -3 + 7 = 4)
And it works for the final row ( -4 + 7 = 3)
The measure of an angle is 60 greater than the measure of its complement find the measure of each angle
Answer:
[tex] \\ \\ 90-60=30degree \\ \\ [/tex]
Answer:
15° and 75°
Step-by-step explanation:
The sum of the measures of complementary angles is 90.
Angle 1 measures x.
Angle 2 measures x + 60.
Their sum is 90.
x + x + 60 = 90
2x + 60 = 90
2x = 30
x = 15
x + 60 = 75
Answer: 15° and 75°
Which term best describes the shape of this distribution?
normal
skewed left
skewed right
uniform
The shape of the distribution described the Left skewed.
What is left- skewed histogram?A left skewed histogram is a histogram that attains a peak (which is the mode) towards the right side of the graph and has a “tail” towards the left side.
A histogram in which most of the data falls to the left of the graph's peak is known as a left-skewed histogram.
A left-skewed histogram is a type of histogram that is not symmetrical and in which the peak of the graph lies to the right of the middle value or the median.
Hence, considering the above definition the given histogram data falls on right side.
So, it is left skewed graph.
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Find five consecutive even integers such that four times the first number plus the fourth number is 35
The five consecutive even integers such that the four times the first number plus the fourth number is 35 are 6 , 8, 10, 12, and 14.
How to find the consecutive integers of the sequence?The even integers are consecutive. Therefore,
let the first even integer = x
Therefore, the sequence is as follows:
x, x + 2, x + 4, x + 6, x + 8.....
Therefore,
4x + x + 6 = 36
5x + 6 = 36
5x = 36 - 6
5x = 30
x = 30 / 5
x = 6
Therefore, the numbers are as follows;
66 + 2 = 86 + 4 = 106 + 6 = 126 + 8 = 14learn more on integers here:https://brainly.com/question/15381903
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PLEASE HELP!
Use the Euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. State your answer as a list with $x$ first and $y$ second, separated by a comma.
Using the Euclidean algorithm integer integers $x$ and $y$ is: [ (-30 + 37k ), (133 - 164k) ].
Euclidean AlgorithmGiven:
$164x + 37y = 1
First step
Sequence of quotients
4(37) + 16=164
2(16) + 5=37
3(5) + 1=16
4(1) + 1=5
1(1) + 0=1
4 2 3 4 1
1 0 1 2 7 30 37
0 1 4 9 31 133 164
Determinant
(164×30) - (37×133)
=4,920-4,921
= -1
164(-30) + 37(133)
=-4,920+4,921
= 1
Second step
Integer
[(x + bk), (y - ak) ]
Where:
x = -30
y = 133
k=integer
Hence:
[ (-30 + 37k ), (133 - 164k) ]
Therefore using the Euclidean algorithm the integer is: [ (-30 + 37k ), (133 - 164k) ].
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g(x) =2x+2 complete function table
Answer and Step-by-step explanation:
Hey there!
To finish the function table, all you need to do is plug in the x value into the function, which in this case is g(x)=2x+2
*Remember, the "x-value" is the input and the "y-value" is the output*
The first input is -5
2(-5)+2
-10+2
g(x) = -8
The second input is -1
2(-1)+2
-2+2
g(x) = 0
The third input is 1
2(1)+2
2+2
g(x) = 4
The fourth input is 4
2(4)+2
8+2
g(x) = 10
The fifth input is 5
2(5)+2
10+2
g(5) = 12
Answer:
see below
Step-by-step explanation:
g(x) = 2x+2
Let x = -5 g(-5) = 2(-5) +2 = -10+2 = -8
Let x = -1 g(-1) = 2(-1) +2 = -2 +2 = 0
Let x = 1 g(1) = 2(1) +2 = 2+2 = 4
Let x=(4) g(4) = 2(4) +2 = 8+2 = 10
Let x = 5 g(5) = 2(5) +2 = 10+2 = 12
I need some help with this question.
Answer:
#1 d #2 c
Step-by-step explanation:
to get these answers I just did the math on all of them
Terry buys 8 comic books and
3 computer games for $76. Annie
buys 1 comic book and 3 computer
games for $41. Write the system
of equations that describes this
situation and solve it to find the
cost of one comic book and one
computer game.
Answer:
5 per comic book and 12 per computer game hope this helps.
Answer:
Step-by-step explanation:
8x + 3y = 76
x + 3y = 41
8x + 3y = 76
-x - 3y = -41
7x = 35
x = $5 comic book
3y + 5 = 41
3y = 36
y = $12 computer game
If a fair die is rolled 5 times, what is the probability, rounded to the nearest
thousandth,
of getting at most 2 threes?
Answer:
0.965 to the nearest thousand.
Step-by-step explanation:
This is a binomial probability distribution.
Prob(getting no 3's) = (5/6)^5 = 0.4019
Prob(getting 1 * 3 ) = 5C1(1/6)(5/6)^4 = 0.4019
Prob (getting 2 3's ) = 5C2(1/6)^2(5/6)^3 = 0.1608
So required probability = 2 * 0.4019 + 0.1608
= 0.9646
Slope intercept form of an equation of a line
Answer:
Step-by-step explanation:
4a. yes: 5 = 3(2)-1 5 = 6 - 1 5 = 5
4b. No: 1 = 3(4) + 1
1 = 12 + 1
1 ≠ 13
4c. No; 1 = 3 - 3
1 ≠ 3
4d. yes; 7 = -3(5) + 22
7 = -15 + 22
7 = 7
4e. no; -8 = -2(-4)
-8 ≠ 8
4f. no; 8 = -2 + 11
8 ≠ 9
could you help me with 15 please?
Answer: 11 pounds
Step-by-step explanation:
Total weight of the first 8 backpacks
8*14
= 112 pounds
Total weight of the second 12 backpacks
12*9
= 108 pounds
Total weight of the whole 20 backpacks
112+108
= 220 pounds
therefore the mean weight of the 20 backpacks is
220 / 20
= 11 pounds
