Using division, we know that the number of cars needed by 3,376 tourists is 422.
What is division?The division is splitting into equal parts or groups.The division allows us to divide or 'share' numbers to find an answer.Division sign (÷) is a symbol consisting of a short horizontal line with a dot above and another dot below, used to indicate mathematical division.The division of any number by zero is undefined. In this case, the result can be written as infinity. For example, 15/0 = ∞, i.e. undefined.We can represent the division with ÷, slash (/), or a horizontal line ( _ ). We can use these symbols at our convenience when dealing with different types of computations or division questions.So, the total number of groups of tourists = 3376
One car holds 8 people.To find the number of cars needed. Hence,
The number of cars needed = 3376/8= 422Therefore, using division we know that the number of cars needed by 3,376 tourists is 422.
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If the point C (-6, 9) is reflected over the y-axis, the coordinates of C’ would be ________.
Answer:
C' (6, 9 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
C (- 6, 9 ) → C' (6, 9 )
a package boodins weighs 6.2 ounces. A package of rews weighs 9.97 ounces. how much more does a package of rews weigh than a package of boondins
2x-5y = 16 solve for y
[tex]\frac{2(x-8)}{5}[/tex] = y
To Solve: value of y
Given: 2x-5y=16
Solution: The solution to this problem involves the following steps:
2x-5y-16=0
2x-16=5y
[tex]\frac{2x-16}{5}[/tex] = y
[tex]\frac{2(x-8)}{5}[/tex] = y
Answer: The final answer is : [tex]\frac{2(x-8)}{5}[/tex] = y
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Multiply. [−3⋅914]⋅[(−0.1)⋅(−28)]
The solution to the given expression is 7,677.6.
This is a question of multiplication.
Multiplication
In mathematics, multiplication is used as a method of finding the product of two or more numbers. It is one of the arithmetic operations, like addition, subtraction and division that we use in everyday life. The major application we can see in multiplication tables.
In arithmetic, the multiplication of two numbers is represented by the repeated addition of one number with respect to another.
Given expression:-
[−3*914]*[(−0.1)*(−28)]
We have to find the solution of the given expression.
We have,
-3*914 = -2742
(-0.1)*(-28) = 2.8
Hence, we can write,
[−3*914]*[(−0.1)*(−28)] = (-2742)*(2.8)
(-2742)*(2.8) = 7,677.6
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Listen to this on the day she was born, a baby leopard had 9 spots. Each day 4 more spots appeared. After 5 days, how many spots did the baby have?
Answer:29
Step-by-step explanation:
9+4 spots times five days
Ms.walker bought a computer for 15% off from the list price of p dollars. if the sales tax was 8%, how much did she pay for the computer including sales tax?
Ms. Walker paid $0.918*p for the computer including sales tax .
In the question ,
it is given that
discount on list price for the computer is 15%
sales tax = 8%
let the list price for the computer be $p .
So, sales price is = p - 0.15*p = 0.85*p
tax on sale price is = 8% of 0.85*p = 0.08*0.85*p = 0.068*p
Total Price = sale price + tax on sale price
Substituting the values of tax and sale price ,
we get
total price = 0.85*p + 0.068*p
= 0.918*p
Therefore , she paid $0.918*p for the computer including the sales tax .
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I need answer and work shown step by step and if graph needs to be shown please show it as well
SOLUTION.
AC and BD will intersect at the mid-point between points A and C.
So let's find the mid-point between points A and C
Point A(-2, 4) and point C(-6, 0)
This becomes
[tex]\begin{gathered} \text{Mid}-poi\text{nt = (}\frac{x1+x2}{2}),(\frac{y1+y2}{2}) \\ \\ =\frac{-2-6}{2},\text{ }\frac{4+0}{2} \\ \\ =\frac{-8}{2},\text{ }\frac{4}{2} \\ \\ \text{Mid-point= (-4, 2) } \end{gathered}[/tex]Therefore, the correct answer is option C.
Identify the term that completes the equation.
Based on the right triangle altitude theorem, the term that completes the equation is: a. YZ.
What is the Right Triangle Altitude Theorem?The right triangle altitude theorem state that when an altitude is drawn to from the vertex of a right triangle to intersect the opposite side perpendicularly, the length of the altitude would be equal to the geometric mean of the line segments that are formed by the altitude on the right triangle's hypotenuse.
In other words, the square of the length of the altitude equals the product of the line segments formed, according to the right triangle altitude theorem.
XZ = altitude
WY = hypotenuse
WZ and YZ are the line segments formed.
Therefore, the equation would be:
XZ² = (WZ)(YZ) [right triangle altitude theorem]
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PLEASE HELP 50 POINTS
Use matrices A, B, and C to find the following:
A+B
C-B
A+B+C
By solving matrices we get,
[tex]A+B= \left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] , C-B=\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right] \\\\\\\\A+B+C = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right][/tex]
A matrix is a rectangular array or table that contains numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity. As an illustration, consider a matrix with two rows and three columns.
Adding matrices, subtracting matrices, and multiplying matrices are the three algebraic operations that make up the majority of matrix operations. Array of numbers or expressions arranged in rows and columns is called a matrix. The field of mathematics has several useful uses for matrices.
Here the matrices A, B and C are given in the question, so we use matrix addition and matrix subraction operations to solve the question.
When solving by using the matrices solving method we get
[tex]A+B=\left[\begin{array}{ccc}5&7\\-1&6\\3&-9\end{array}\right] +\left[\begin{array}{ccc}8&3\\5&1\\4&4\end{array}\right]= \left[\begin{array}{ccc}5+8&7+3\\-1+5&6+1\\3+4&-9+4\end{array}\right]=\left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] \\[/tex]
[tex]C-B = \left[\begin{array}{ccc}0-8&4-3\\-2-5&5-1\\7-4&-1-4\end{array}\right] =\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right][/tex]
[tex]A+B+C= \left[\begin{array}{ccc}5+8+0&7+3+4\\-1+5+-2&6+1+5\\3+4+7&-9+4+-1\end{array}\right] = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right][/tex]
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What coordinates point can I plot in the graph? It can't be a decimals point, It has to be whole numbers because the graph doesn't let me put for example 4.86 or a fraction
First, we can start input small whole numbers in the function to see if we get a whole number. Let's try with 0, 1 and 2:
[tex]\begin{gathered} y=(\frac{1}{2})^{0+1}-9=\frac{1}{2}-9=-8.5 \\ . \\ y=(\frac{1}{2})^{1+1}-9=\frac{1}{4}-9=-8.75 \\ . \\ y=(\frac{1}{2})^{2+1}-9=\frac{1}{8}-9=-8.875 \end{gathered}[/tex]None of those values worked. Let's try negative integers, such as -1 and -2:
[tex]\begin{gathered} y=(\frac{1}{2})^{-1+1}-9=(\frac{1}{2})^0-9=1-9=-8 \\ . \\ y=(\frac{1}{2})^{-2+1}-9=(\frac{1}{2})^{-1}-9=2-9=-7 \end{gathered}[/tex]We get integer coordinates if we use negative integers. Then, we need at least 5 points. Let's use x = -1, -2, -3, -4, -5
[tex]\begin{gathered} y=(\frac{1}{2})^{-3+1}-9=(\frac{1}{2})^{-2}-9=2^2-9=4-9=-5 \\ . \\ y=(\frac{1}{2})^{-4+1}-9=(\frac{1}{2})^{-3}-9=2^3-9=8-9=-1 \\ . \\ y=(\frac{1}{2})^{-5+1}-9=(\frac{1}{2})^{-4}-9=2^4-9=16-9=7 \end{gathered}[/tex]We have the points:
(-1, -8), (-2, -7), (-3, -5), (-4, -1) and (-5, 7)
If we locate them in the cartesian plane:
And now, we can estimate the graph. An exponential function where the base is smaller than 1, describes an exponential decay, and the term "-9" is applying a shift 9 units down, and also y = -9 is a horizontal asymptote. With all this and the points we just found:
3(x+3)= x +13 ansewr!
Answer: x=2
Step-by-step explanation:
1. Distribute
2. Subtract 9 from both sides
3. Simplify
4. Subtract x from both sides
5. Simplify
6. Divide both sides by the same factor
7. Simplify
25 lbs of potatoes cost $100. How much
would 15 lbs cost?
Round the answer to two decimal digit
486,162,54 the next 3 terms of geometric sequence
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
3
gives the next term. In other words,
a
n
=
a
1
r
n
−
1
.
Geometric Sequence:
r
=
1
3
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
486
and
r
=
1
3
.
a
n
=
486
(
1
3
)
n
−
1
Apply the product rule to
1
3
.
a
n
=
486
1
n
−
1
3
n
−
1
One to any power is one.
a
n
=
486
1
3
n
−
1
Combine
486
and
1
3
n
−
1
.
a
n
=
486
3
n
−
1
Substitute in the value of
n
to find the
n
th term.
a
5
=
486
3
(
5
)
−
1
Simplify the denominator.
Tap for more steps...
a
5
=
486
81
Divide
486
by
81
.
a
5
=
6
Below is the change received by Julia after buying a magazine.She paid for the magazine using a £10 note. Work out the price of the magazine.
pls provide the picture below, because of that its an incomplete answer
Jeremiah keeps a record of how many pages he reads each day. He read 40% fewer pages today than yesterday. If he read 90 pages today, how many pages did he read yesterday?
Answer:
126
Step-by-step explanation:
90 ÷ 10 = 9
9 × 4 = 36
90 + 36 = 126
Find −2⋅[g(−2)].
Select one:
a. 8
b. -40
c. 20
d. -16
pls help <3
the correct answer is a so write it
HELP MEE((((((((
solve an equation and draw a graph on it
I give 20 points!! please help as soon as possible(
For 7 y = 2 x − 5 , which of the following expressions gives x in terms of y ?
The expressions that gives x in terms of y from the given expression 7 y = 2 x − 5 is x = (7y +5)/2.
How can the expression be simplified?The concept that will be used in this question is solving of linear equation, because the equation is linear, then we perform the simplification.
The given expression is is 7 y = 2 x − 5
Then from the expression we can make 2x the subject of the formula by rearranging it as 2x = 7y +5
Then this can be further expressed by dividing the both sides by the factor of 2, which can be expressed as ;
x = (7y +5)/2
Therefore, option A is correct because it is the expression that gives the x in terms of y.
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Check the missing options:
A. x = (7y +5)/2
B. y = (7x +5)/2
C. x=(7y +5)/3
Use inductive reasoning to find a pattern and then make a reasonable conjecture for the next number in the sequence.
We will find the pattern as follows:
105 - 104 = 1
104 - 102 = 2
102 - 99 = 3
99 - 95 = 4
95 - 90 = 5
90 - 84 = 6
So, it is reasonable to assume that the next value will be 77.
Spoonhead's
heart beats 48 times
per minute. How many times will
his heart beat in two hours?
Answer:5760
Step-by-step explanation:
48 beats per min and its 120 min in 2 hours so multiply 120×48=5760
if f(3)=6, what is the value of f^-1(6)?
If the function f(3) has a value of 6, then the value of f⁻¹(6) is 3
How to determine the composite function?From the question, the definition of the function is given as
f(x)
Such that
The value of f(3) is 6
This is represented as
f(3) = 6
Also, the function can be represented as
y = f(x)
In f(3) = 6, we have
x = 3 and y = 6
When the inverse function is calculated, we have
f⁻¹(y) = x
This means that
f⁻¹(6) = 3
Express as an inverse function
f⁻¹(6) = 3
Hence, the inverse function f⁻¹(6) has a value of 3
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I need help ASAP
write an equitation of the line shown
The equations of the lines are:
7. y = 3/2x - 3/2
8. y = -1/3x - 8/3
What is the Equation of a Line?The equation that represents a line, in slope-intercept form is, y = mx + b.
Slope of the line = m = rise/run or change in y / change in x.Y-intercept of the line = b = the point where the line intercepts the y-axis.7. Find the slope (m) between (5, 6) and (1, 0):
Slope (m) = (6 - 0)/(5 - 1) = 6/4
Slope (m) = 3/2
Find the y-intercept of the line, b, by substituting m = 3/2 and (x, y) = (1, 0) into y = mx + b:
0 = 3/2(1) + b
-3/2 = b
b = -3/2
To write the equation, substitute m = 3/2 and b = -3/2 into y = mx + b:
y = 3/2x - 3/2
8. Find the slope (m) between (-5, -1) and (1, -3):
Slope (m) = (-1 -(-3))/(-5 - 1) = 2/-6
Slope (m) = -1/3
Find the y-intercept of the line, b, by substituting m = -1/3 and (x, y) = (1, -3) into y = mx + b:
-3 = -1/3(1) + b
-3 = -1/3 + b
-3 + 1/3 = b
-8/3 = b
b = -8/3
To write the equation, substitute m = -1/3 and b = -8/3 into y = mx + b:
y = -1/3x - 8/3
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April is arranging place cards for a wedding reception on a table. The bride's family has 154 cards and the groom's family has 140 cards. She wants the arrangements for the two families to have the same number of cards in each row. What is the greatest number of cards that she can place in a row?
The greatest number of cards that April can place in a row , so that the two families have same number of cards in each row is 14.
In the question ;
it is given that
number of card that Bride's family has = 154
number of cards that Groom's family has = 140 cards.
So , to find the greatest number of cards that April can place in a row we need to find the GCF(154,140) ,
to find the GCF (154,140)
prime factorization of 154 = 2*7*11
prime factorization of 140 = 2*2*5*7
common factors = 2*7
Hence the GCF(154,140) = 14
Therefore , the greatest number of cards that April can place in a row , so that the two families have same number of cards in each row is 14.
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1)bowl a contains 2 red chips; bowl b contains two white chips; and bowl c contains 1 red chip and 1 white chip. a bowl is selected at random, and one chip is taken at random from that bowl. what is the probability of selecting a white chip? if the selected chip is white, what is the probability that the other chip in the bowl is red?
Probability that selected chip is white: 1/2
Probability that the other chip in the bowl is red given if the selected chip is white: 1/3
Let A be the event that bowl A is randomly selected; let B be the event that bowl B is randomly selected; and let C be the event that bowl C is randomly selected. All these three bowls are equally likely to be selected:
P(A) = P(B) = P(C) = 1/3
The probability of selecting a white chip from a bowl depends on from which bowl the chip is selected.
Let W be the event that a white chip is randomly selected.
Attached is the picture solution.
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If you love codes answer this question!
Answer:
Is it B
Step-by-step explanation:
Agnes, evangelina, isabela, omar, and yuri each made a tower using wooden blocks. each person used a different number of blocks in their tower, and the mean (average) number of blocks in each tower was 25 . yuri used the most blocks in her tower, and agnes used the fewest blocks in her tower. if yuri used 32 blocks, determine the minimum possible number of blocks that agnes could have used.
Given a block play problem, the minimum number of blocks Agnes can use to build a tower is 3 or 1.
To calculate the average (mean) of a set of values, first divide by the number of values in the set. Therefore, the sum of the values in the set is equal to their average multiplied by the number of values in the set. The average number of blocks in each tower was 25, and since there were 5 towers, the total number of blocks used was 5 × 25 = 125. Yuri's Tower used 32 blocks, so the remaining towers used a total of 125 minus 32 = 93 blocks.
To find the minimum possible number of blocks for Agne's tower, let the other three towers use as many blocks as possible. Now we know that Yuri's tower used the most blocks and each tower used a different number of blocks. So the other 3 towers can use up to 31, 30 and 29 blocks respectively. The result was an absolute minimum number of blocks that Agnes could use, 93 - 31 - 30 - 29 = 3
By the way, the minimum number of blocks Agnes can use is not 93 - 32 - 32 - 32 = - 3 , but negative value is not possible. so, if everyone could use the same number of blocks. Agnes must have used at least one block, as it is possible to use a negative number of blocks.
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middle.
Submit
<
1 103 <
What is the answer to this I literally suck at math
Answer:
I think it's 4 on the left and 5 on the right side
Step-by-step explanation:
4*4*4=64
and
5*5*5=125
robert john and paul start to run from the same point in the same direction around a circular track.
if they take 126 seconds 154 seconds and 198 seconds respectively to complete one round along the track, when will they next meet again at the starting point?
They will next meet again after 1386 seconds or 23.1 minutes from the starting point.
Given that Robert, John, and Paul begin running in the same direction from the same starting point around a circular track If they take 126 seconds, 154 seconds, and 198 seconds respectively to complete one round of the track.
What is HCF?The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.
To determine whether they will next meet again at the starting point.
We have to calculate the LCM of the numbers 126, 154, and 198
⇒ Prime factors of 126 = 2 × 2 × 3 ×7
⇒ Prime factors of 154 = 2 × 11 ×7
⇒ Prime factors of 198 = 2 × 3 × 3 ×11
So the LCM of the numbers 126, 154, and 198 will be as:
⇒ 2 × 3 × 3 × 7 × 11 = 1386
Therefore, they will meet after 1386 seconds or 23.1 minutes.
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Airplane tickets to Hawaii cost $500. If my mom pays for 8/4 of my ticket, how much will I have to pay?
Answer: so there for the answer is 498
Step-by-step explanation:
500 - 8\4divide 8 by 4which is 2then 500 - 2 = 498I’m very confused with this question, I tried to do it but I just have slight feeling I got this wrong and I want to double check make sure my answer is correct. Would you please me help me thank you very much
The powers of the imaginary number i have four possible values: 1, i, -1, and -i. Let's see some examples:
i⁰ = 1 (any number with the exponent 0 equals 1)
i¹ = i (any number with the exponent 1 is the number itself)
i² = -1 (this follows from the definition of the imaginary number, the square root of -1)
i³ = i² * i = -1 * i = -i
Now, the results start to repeat from 1 to -i:
i⁴= i² * i² = (-1) * (-1) = 1
i⁵ = i⁴ * i = 1 * i = i
i⁶ = i * i⁵ = i * i = i² = -1
i⁷ = i⁶ * i = -1 * i = -i
From that, we can follow the steps below to find the value of a power of i:
• divide the exponent by 4;
,• if the rest of the division is 0, then the power equals ,i⁰ = 1,;
,• if the rest of the division is 1, then the power equals ,i¹ = i,;
,• if the rest of the division is 2, then the power equals ,i² = -1,;
,• if the rest of the division is 3, then the power equals ,i³ = -i,.
So, for the power i⁶⁴⁹, the exponent is 649. Following the steps above, we find:
• 649/4, has a quotient of 162 and the, rest 1,. Therefore:
i⁶⁴⁹ = i¹ = i
Thus, i⁶⁴⁹ equals i.
