Answer:
a) 2.0 x 10^5
b) 8.0 x 10^4
c) 9 x 10^9
d) 1 x 10^10
At a baseball game, a vender sold a combined total of sodas and hot dogs. the number of sodas sold was three times the number of hot dogs sold. find the number of sodas and the number of hot dogs sold.
The number of sodas sold is 168
The number of hot dogs sold is 56
Total of sodas and hot dogs=224
Let the number of sodas sold be s, and the number of hot dogs sold be s
So we have the following:
s=3h.................i
s+h=224..........ii
we solve the two equation to find the value of s and h,
From equation ii, s=224-h, replacing this in equation i, we have:
224-h=3h
224=4h
h=56
Now, s=3*56
=168
s=168
Number of sodas=168
Number of hot dog sold=56
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The complete question is given below;
A vender sold a combined total of 224 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
A cube-shaped gift box has a volume of 1000 cubic inches. Solve s³ = 1000 to find the lengths of one side of the box.
s=__in.
a bag contains red marbles, white marbles, green marbles, and blue marbles. there are an equal number of red marbles and white marbles, and five times as many green marbles as blue marbles. there is a chance of selecting a red marble first. what is the fewest possible number of green marbles in the bag?
The fewest possible number of green marbles in the bag is 5.
Defined the word probability?Probability is used to describe the chances of an occurrence. We can evaluate the numerical data involved with the likelihood that a distinct event will occur using probability. Probabilities are expressed as percentages, or, in decimal number, as numbers ranged from 0% to 100%.As per the stated question.
Since there is a 35% possibility of obtaining a red, the same percentage must apply to getting a white.
35+35=70%
You have a 100% probability of selecting a marble,
70+30=100
The probability that you will select a blue or green stone must thus be 30%.
And if there are B blue marbles, then there will be 5 green marbles.
B+5B=30%
6B=30%
Blue=5%
Green = 30-5=25%
Thus, the ratio becomes.
Red: White: Green : blue
35 : 35 : 25: 5
Dive each by 5.
7 : 7 : 5 : 1
Thus, the fewest possible number of green marbles in the bag is 5.
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The complete question is-
A bag contains red marbles, white marbles, green marbles, and blue marbles. There are an equal number of red marbles and white marbles, and five times as many green marbles as blue marbles. There is a 35% chance of selecting a red marble first. What is the fewest possible number of green marbles in the bag?
Find an equation, in slope-intercept form, that passes through point (-2, 2) with slope -2.
[A] y = -2x-2 [B] y = 2x-2
[C] y = 2x-4 [D] y = -2x-4
The equation of a line on a point (-2,2) is y = -2x-2. That option A is correct.
Here we have to find the equation of a line.
The given data:
Point = ( -2, 2)
Slope(m) = -2
Equation of a line:
y = mx + c
Now putting the values as
y = 2
x = -2
m = -2
We will get the y-intercept.
So we have:
2 = -2 × -2 + c
c = 2 - 4
= -2
So, y = -2x -2
Therefore we get the equation of line as y = -2x -2.
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PLEASE HELP ME!!!!!!
Answer:
7/65
Step-by-step explanation:
1. The slope of the line
y = x + 17 is ___.
2. The slope of the line
y = x - 7/9 is ___.
Explanation:
The slope of the line
y = x + 17 is ___. 1
2. The slope of the line
y = x - 7/9 is ___. 1
estimate a 15% tip on a dinner bill of $61.53 by first rounding the bill amount to the nearest $10
well, 61.53 is really 10 + 10 + 10 + 10 + 10 + 10 + 1.53.
well, 1.53 doesn't really come nowhere near close to round up to 10, so it boils down to 0, so 61.53 will just be 10 + 10 + 10 + 10 + 10 + 10 + 0 or just 60 once rounded up, now, what's 15% of 60?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 60}}{\left( \cfrac{15}{100} \right)60}\implies 9[/tex]
well, we can get the 15% of 61.53 by just (15/100) * 61.53
however, the exercise is asking on rounding it up to "tens" first
61.53 has "10" six times plus 1.53, the rounding happens with the "surplus"
in this case the surplus is 1.53.
now, for rounding anything the tipover point is at the half, for $10 the half is $5, so if the amount is $5 or more, rounds up to $10, if less than that goes to 0.
1.53 is nowhere near 5, which is the halfpoint or tipover point, because of that, it rounds up to 0, so 61.53 rounded up to "tens" only will be "six tens" only, or 60.
when playing yahtzee, you roll five regular 6-sided dice. how many different outcomes are possible from a single roll? the order of the dice does not matter.
Answer:
6
Step-by-step explanation:
a computer store compiled data about the accessories that 500 purchasers of new tablets bought at the same time they bought the tablet. here are the results: 411 bought cases 82 bought an extended warranty 100 bought a dock 57 bought both a dock and a warranty 65 both a case and a warranty 77 bought a case and a dock 48 bought all three accessories 58 bought none of the accessories find the probability that a randomly selected customer bought: a. exactly one of the accessories. b. exactly two of the accessories. c. at least one of the accessories. d. at least two of the accessories. e. at most one of the accessories. f. at most two of the accessories. g. a case or a warranty, but not both, and did not buy a dock. h. a case but neither of the other two accessories. i. a warranty and a dock but not a case.
The probability that exactly one of the accessories, be 0.678
The probability that exactly two of the accessories, be 0.11
The probability that at least one of the accessories, be 0.884
The probability that at least two accessories, be 0.206
The probability that at most one of the accessories, be 0.794
The probability that at most two of the accessories, be 0.904
The probability that a case or a warranty, but not both be, 0.726
The probability that a case but neither of the other two accessories be, 0.634
The probability that a warranty and a dock but not a case be, 0.018
Given, a computer store compiled data that 500 purchasers of new tablets bought at the same time they bought the tablet.
Let A be the set of purchasers we bought cases,
B be the set of purchasers we bought extended warranty,
C be the set of purchasers we bought dock,
Now, A = 411 , B = 82 , C = 100
also, A∩B = 65 , B∩C = 57 , A∩C = 77 and A∩B∩C = 48 , A'∩B'∩C' = 58
(a) the probability that exactly one of the accessories, be
P(A)-P(A∩B)-P(A∩C)+P(A∩B∩C) + P(B)-P(A∩B)-P(B∩C)+P(A∩B∩C) + P(C)-P(C∩B)-P(A∩C)+P(A∩B∩C) = 411-65-77+48+82-57-65+48+100-57-77+48
= 339/500
= 0.678
(b) the probability that exactly two of the accessories, be
P(A∩B)+P(B∩C)+P(A∩C)-3P(A∩B∩C) = 65+57+77-48-48-48
= 55/500
= 0.11
(c) the probability that at least one of the accessories, be
who bought 1 or 2 or all 3 accessories be,
= 0.678 + 0.11 + 0.096
= 0.884
(d) the probability that at least two accessories, be
who bought 2 or all 3 accessories be,
= 0.11 + 0.096
= 0.206
(e) the probability that at most one of the accessories, be
who bought nothing or one accessories be,
= 0.116 + 0.678
= 0.794
(f) the probability that at most two of the accessories, be
who bought nothing or 1 or 2 accessories be,
= 0.116 + 0.678 + 0.11
= 0.904
(g) the probability that a case or a warranty, but not both
= 0.822 + 0.164 - 0.26
= 0.726
(h) the probability that a case but neither of the other two accessories
= 0.634
(i) the probability that a warranty and a dock but not a case
= 0.018
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The gradient of a curve C is given by
dy = x² + 6 + 9x-².
dx
The point (3, 20) lies on C. Find an equation for the curve C in the form y = f(x).
Answer:
[tex]y = \frac{1}{3} {x}^{3} + 6x - \frac{9}{x} - 4[/tex]
Step-by-step explanation:
explanation shown in picture ^^
A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation $4x+6y=48$ models this situation, where $x$ is the number of cars and $y$ is the number of vans
The 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)
Given the equation that models the situation expressed as:
4x + 6y = 48
We are to find 4 possible solutions for x and y. Note that the values of x and y must be integers.
If there are no cars i.e. at when x = 0
4(0) + 6y = 48
0 + 6y = 48
6y = 48
y = 48/6
y = 8
One of the solution is (0, 8)
If there are 3 cars, i.e. at when x = 0
4(3) + 6y = 48
12 + 6y = 48
6y = 48 - 12
y = 36/6
y = 6
The second solution will be (3, 6)
If there are 6 cars, i.e. at when x = 6
4(6) + 6y = 48
24 + 6y = 48
6y = 48 - 24
y = 24/6
y = 4
The third solution will be (6, 3)
If there are 9 cars, i.e. at when x = 9
4(9) + 6y = 48
36 + 6y = 48
6y = 48 - 36
y = 12/6
y = 2
The fourth solution will be (9, 2)
Hence the 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)
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Making a certain shade of paint requires mixing 3 parts silver with 4 parts green. Meg uses this data to start this table of equivalent ratios. A 2-column table has 3 rows. Column 1 is labeled Silver paints (parts) with entries 3, blank, blank. Column 2 is labeled Green paint (parts) with entries 4, blank, blank. Which ratios are equivalent to 3 parts silver paint to 4 parts green paint? Check all that apply. 4:5 6:8 5:6 9:12
The ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
Generally speaking, a proportional relationship can be represented by the following mathematical expression:
x = ky
Where:
x represents the silver paints (parts).y represents the green paint (parts).k represents the constant of proportionality.In this context, the constant of proportionality or ratio of the quantity of silver paint (parts) to green paints (parts) can be calculated as follows:
Constant of proportionality (k) = x/y
Constant of proportionality (k) = 3/4
Now, we can determine the equivalent ratios as follows:
Equivalent ratio = 4/5 ≠ 3/4
Equivalent ratio = 6/8 = 3/4 (divide by 2)
Equivalent ratio = 5/6 ≠ 3/4
Equivalent ratio = 9/12 = 3/4 (divide by 3).
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the answer is 6:8 and 9:12
Step-by-step explanation: hope this helped ;D
answer help this image needs andwer for domain range pls
Answer:
the domain is the x values: -5,-4,-2,0,1
The range is the y values: -1, 1, 3, 4
Step-by-step explanation:
How many 8s in 72?
How many 800s in 72,000?
How many 5s in 450,000?
How many 3,000s in 270,000?
How many 90s in 63,000?
Jose has $580 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $284.52. He buys 4 bicycle reflectors for $15.65 each and a pair of bike gloves for $11.31. He plans to spend some or all of the money he has left to buy new biking outfits for $31.95 each. What is the greatest number of outfits Jose can buy with the money that's left over?
The greatest number of outfits Jose can buy is 6
How to determine the greatest number of outfits he can buy?The given parameters are:
Budget = $580New bicycle = $284.524 bicycle reflectors = $15.65 eachPair of a bike gloves = $11.31New biking outfits = $31.95 each.Let the number of new biking outfits be x
So, we have
New bicycle + 4 * price of bicycle reflectors + Pair of a bike gloves + New biking outfits ≤ Budget
This gives
284.52 + 4 * 15.65 + 11.31 + 31.95x ≤ 580
This gives
358.43 + 31.95x ≤ 580
Solve the inequality
31.95x ≤ 221.57
Divide
x ≤ 6.93
This gives
x ≤ 6
Hence, the greatest number of outfits is 6
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what is the notation used for a vector pointing into the page? what about a vector pointing out of the page?
The notation used for a vector pointing into the point is X.
A quantity with a magnitude and direction is called a vector. A vector quantity will be identified in these annotations by a bold letter (such as the electric field vector E). Vectors appear graphically as straight arrows. The magnitude of the vector is commonly represented by the length of the arrow, and both the arrow and the vector point in the same general direction.
Arrows are drawn on the page to represent vectors in the page's plane. Typically, circles with an X engraved on them are used to represent vectors that enter the screen's plane. A vector that deviates from the screen's plane is often represented by circles with dots in the center.
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PLEASE HELP ASAP ILL GIVE BRAINLIEST
Find x and y
*image is linked*
The values of x and y in the similar triangles are 3 and 2 respectively.
What are similar triangle?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, using similar triangle ratio, let's find the value of x and y.
x / 6 = 1.5 / 3
cross multiply
3x = 1.5 × 6
3x = 9
divide both sides by 3
x = 9 / 3
x = 3
Let's find y.
y / 4 = 1.5 / 3
cross multiply
3y = 6
divide both sides by 3
y = 6 / 3
y = 2
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700% of what number is 1,540
If 700% of a number is 1540, then the number is 220
The given percentage = 700%
The percentage of a number is defined as the ratio that can be expressed as the fraction of 100.
Consider the number as x
Here the 700% of the number is 1540
Then the equation will become
x × 700% = 1540
Solve the equation and find the value of x
x × (700/100) = 1540
Divide the terms first
x × 7 = 1540
Move the 7 to the right hand side of the equation
x = 1540/7
Divide the terms
x = 220
Hence, if 700% of a number is 1540, then the number is 220
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The cost of hiring a car is $40 plus a charge of $30 per day. How much will it cost to hire the car for 2 days?
Step-by-step explanation:
we have a basic fee of $40 just for renting the car.
and we rent it for 2 days for $30 per day.
so, this costs
40 × 2×30 = 40 + 60 = $100
Which of the following graphs represents the equation y−4.5=2.5(x−5)?
The graph that represents the equation y - 4.5 = 2.5(x - 5) is the third graph
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, y - 4.5 = 2.5(x - 5).
y - 4.5 = 2.5x - 12.5.
y = 2.5x - 8.
Now, to determine the graph we'll choose some random values of x for which we'll have different values of y.
When x = - 1 , y = - 10.5 ⇒ (-1, -10.5 ).
When x = 0 , y = - 8 ⇒ (0, - 8).
When x = 1 , y = -5.5 ⇒ (1, -5.5).
When x = 2 , y = -3 ⇒ (2, -3).
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how many different three-letter strings can be formed from the letters a, b, c, d, e (repeats allowed) if the string must contain either all vowels or all consonants?
8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.
What is permutation and combination?
A permutation is an orderly arrangement of things or numbers.
Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
The amount of two-letter words that can be created using the letters in a word, like GREAT, is an illustration of permutations: ⁵P₂ = 5!/(5-2)!
How many different ways we may write the words utilizing the vowels in the word GREAT is an example of a combination: ⁵C₂ = 5!/[2! × (5-2)!]
Given, the letters that can be used to create the required three letter word in question: a, b, c, d, e.
Total number of letters that can be used = 5
Total number of vowels in the available letters to be used = 2 ('a' and 'e')
Total number of consonants in the available letters to be used = 3 ('b', 'c' and 'd')
Case 1: A three letter word having all vowels where letters can be repeated
Here, since two letters are to put in three empty positions, the total number of ways to form this word = 2³ = 2 × 2 × 2 = 8
Case 2: A three letter word having all consonants where letters can be repeated
Here, since three letters are to put in three empty positions, the total number of ways to form this word = 3³ = 3 × 3 × 3 = 27
Thus, 8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.
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Study the figure. What is the measure of the missing interior angle?
The value of the missing interior angle is 25°
What is a right-angled triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.
given angles of the triangle, 90° and 65°
Let, the unknown angle be x
so that,
x + 90 + 65 = 180 ( sum of angles in a triangle)
x + 155 = 180
x = 180 - 155
x = 25°
In conclusion, the unknown angle is 25°
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a₁ = 7
an = an-1 - 3
Write explicitly.
Answer:
a(n) = 10 -3n
Step-by-step explanation:
You want the explicit formula for the sequence recursively defined by a(1)=7, a(n)=a(n-1) -3.
Common differenceThe recursion relation tells you that each term is 3 less than the one before. That is, the common difference between terms is -3.
Explicit formulaA sequence with a common difference is an arithmetic sequence. The formula for the n-th term is ...
a(n) = a(1) +d(n -1)
where a(1) is the first term and d is the common difference.
The first term is given by the recursive definition as 7. Then the explicit formula is ...
a(n) = 7 -3(n -1)
This can be simplified to ...
a(n) = 10 -3n
How do you use distributive property to answer (15x6) + (85x6)
Answer:
600
Step-by-step explanation:
You want to use distributive property to answer (15x6) + (85x6).
Distributive propertyThe distributive property shows you what you can do with a common factor:
(15×6) + (85×6) = (15 +85)×6 . . . . . . apply the distributive property
= 100 × 6 . . . . . . evaluate the sum in parentheses
= 600 . . . . . . perform the multiplication
"I have drawn a polygon who's sum of interior angles is 800"
explain why this is impossie
We know that the sum of all the interior angles of the polygon with sides n is (n - 2)*180.
It is given in the question that,
Sum of all the interior angles of the polygon is 800.
Hence, according to the data given in the question, we can write,
(n - 2)*180 = 800
n - 2 = 800/180
n - 2 = 40/9
n = 40/9 + 2
n = 58/9 = 6.44
As number of sides should always be in integer form, it is not possible to have the sum of all the interior angles of the polygon to be 800 degrees.
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helppppppppppppp can you tell me where to put the answers
After applying the distributive property, Ezra's expression was 8y + 16.
After he used the commutative property, his expression was 16 + 8y.
How to use the distributive and commutative properties?When using the distributive property, we are able to expand an expression with a bracket by multiplying the things in the bracket with the things outside:
8( y + 2) becomes:
= (8 x y) + (8 x 2)
= 8y + 16
The commutative property on the other hand, means that when adding, the position of the number does not matter. For instance, a + b = b + a
When the commutative property is applied therefore, we get:
8y + 16 = 16 + 8y
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Find the distance between
(4, 8) and (-2, 2).
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
Using the distance formula,
[tex]\sqrt{(4-(-2))^2+(8-2)^2} \\ \\ =\sqrt{6^2+6^2} \\ \\ =6\sqrt{2}[/tex]
Answer:
6(sqrt(2))
Step-by-step explanation:
Use the "distance formula" (sqrt((x2-x1)^2 - (y2-y1)^2)), plugging in (4,8) for x1 and y1, and (-2,2) for x2 and y 2
Solve each equation for y
A. (y- 10) = -3(x - 2)
B. (y-2) = 3(x+1)
C. (y-2 = 1/3(x-3)
Will do brainliest! 100%
Answer:
A. [tex]y=-3x+16[/tex]
B. [tex]y=3x+5[/tex]
C. [tex]y=\frac{1}{3}x+1[/tex]
Step-by-step explanation:
A.
[tex]y-10=-3(x-2)[/tex]
[tex]y-10=-3x+6[/tex]
[tex]y=-3x+16[/tex]
B.
[tex]y-2=3(x+1)[/tex]
[tex]y-2=3x+3[/tex]
[tex]y=3x+5[/tex]
C.
[tex]y-2=\frac{1}{3}(x-3)[/tex]
[tex]y-2=\frac{1}{3}x-1[/tex]
[tex]y=\frac{1}{3}x+1[/tex]
X+3y+z=-8
2x+y-6z+20
x-2y+z=-13
The solution for the system of equations -
x+3y+z=-8
2x+y-6z=20
x-2y+z=-13
is x = 5.875, y = 1, z = 16.875
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following set of equations -
x+3y+z=-8 ..[1]
2x+y-6z=20 ..[2]
x-2y+z=-13 ..[3]
We can write eq [3] as -
z = - 13 - x + 2y
So, eq [1] and [2], will become -
x + 3y + (-13 - x + 2y) = -8
x + 3y - 13 - x + 2y = -8
5y = - 8 + 13
5y = 5
y = 1 ..Eq[4]
AND
2x + y - 6z = 20
2x + y - 6(- 13 - x + 2y) = 20
2x + y + 78 + 6x - 12y = 20
2x + 1 + 78 + 6x - 12 = 20
8x = 47
x = 5.875 ..Eq[5]
Now -
x - 2y + z = -13
5.875 - 2 + z = - 13
z = 16.875
Therefore, the solution for the system of equations -
x+3y+z=-8
2x+y-6z=20
x-2y+z=-13
is x = 5.875, y = 1, z = 16.875.
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15/20+16/20 as a mixed number
Answer: 1 11/20
hope this helps :)
