Answer:
19 tables
Step-by-step explanation:
Let X represent the number of tables that have 1 student and 3 seniors
Let Y represent the number of tables that have 2 student2 and 4 seniors
Therefore number students total
1X + 2Y =23 (1)
Number of seniors total
3X + 4Y = 61 (2)
Multiply equation (1) by 2 giving
2X + 4Y = 46 (3)
Subtract (3) from (2)
3X + 4Y - (2X+4y) = 61-46
3X + 4Y - 2X -4Y = 15
3X-2X = 15
X = 15
Plugging this value into equation (1) gives
1(15) + 2Y = 23
15 + 2Y = 23
Subtract 15 from both sides
2Y = 23 - 15
2Y = 8
Divide by 2 both sides
Y = 4
Thus total number of tables used = X +Y = 15+4 = 19
Which inequality does this graph match?
−19 + 7k< −6(−4−k)
−7 (4−x) + 4 > −18 + 7x
−4 (4+7x) + x < −6x + 5
−2n − 40 < 5 (6+n) + 7n
Answer:
I think it is -5
Step-by-step explanation:
√38 I’m not sure how to solve these kinds of equations
Answer:
√38
Step-by-step explanation:
√38
step 1: Check which squared numbers can be multiplied by another number to get 38.
Start with these numbers: 4, 9, 16, and 25
Step 2: Testing out the numbers
√25 × __ = 25 can't be divided by 38
√16 × ___ = 16 can't be divided by 38
√9 × ____ = 9 can't be divided by 38
√4 × ____= 4 can't be divided by 38
Step 3: Answer
After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38
I hope this helps!
Convert 40 miles per hour to feet per second.
PLEASE HELP thank you
Answer:
I'm pretty sure the answer is 90
Step-by-step explanation:
27.7 rounded up is 28 and 2.8 rounded up is 3, and the product of those 2 numbers is 84 and 90 is the closest number so that should be the answer :)
Answer:
The answer is 90
Step-by-step explanation:
27.7 rounded up is 28 and 2.8 rounded up is 3 so 28 times 3 is 84 and the closest number to 84 is 90
Evaluate − 7 w + 2 p for w = − 2 and p = − 6
The simplification of the given expression − 7 w + 2 p is 2.
What is the multiplication rule for negative integers?Negative integers have been real integers less than zero. For instance, 147 and 4 are negative integers, but 0.4181554... and 10 are not; the former is a negative number yet not an integer, whereas the latter is a positive integer.
There are two simple points to remember: When a negative number is multiplied by a positive number, the product has always been negative. When two negative numbers as well as two positive numbers are multiplied, the product has always been positive.The given expression is;
= - 7 w + 2 p
The for the variables is given;
w = − 2 and p = − 6
put the values in the expression;
= -7(-2) + 2(-6)
Th multiplication of 2 negative will be positive while one positive one negative will give negative number only.
Thus,
= 14 - 12
Simply subtract;
= 2
Therefore, the result of the given expression is 2.
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Question 14 of 20
K
The table below shows the frequency distribution of the rainfall on 52 consecutive Mondays in a
certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a
distribution that is approximately normal?
Class
0-0.19
0.20-0.39
0.40-0.59
0.60-0.79
0.80-0.99
1.00-1.19
1.20-1.39
Frequency
21
12
5
3
8
2
1
CID
+
possib
This question: 5 points) possible
Choose the correct histogram below
OA
OC.
10-
00 02 04 06 08 10 12 14
30-
20-
10-
of
00 02 04 06 08 10 12
10-
00 02 04 06 08 10 12 14
Do the data appear to have a distribution that is approximately normal?
OA No, it is not symmetric
OB. No, it is approximately uniform
OC. Yes, it is approximately normal
OD. No, it has no obvious maximum
1. The correct histogram (attached) that captures the frequency distribution is Option C.
2. Whether the data appear to have a distribution that is approximately normal, A. No, it is not symmetric.
What is a symmetric distribution?A symmetric distribution is a distribution in which the left and right sides mirror each other and it is a normal distribution, with a distinct bell shape.
In a symmetrical distribution, mean = median = mode. It is a skewed distribution when it is not symmetrical.
Data and Calculations:Class Frequency
0-0.19 21
0.20-0.39 12
0.40-0.59 5
0.60-0.79 3
0.80-0.99 8
1.00-1.19 2
1.20-1.39 1
Thus, the frequency histogram shows a skewed distribution of rainfall, where one tail is longer than the other.
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Use braces to write the members of the set, or state that the set has no members.
The whole numbers greater than 5 and less than 9
A.
{6, 7, 8}
B.
{5, 6, 7, 8}
C.
{6, 7, 8, 9}
D.
{5, 6, 7, 8, 9}
Answer:
A
Step-by-step explanation:
An airplane is flying at a speed of 300 mi/h at an altitude of one mile. The plane passes directly above a radar station at time
t = 0.
The horizontal distance that the plane has flown can be represented as a function of t d(t) = 300t.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
An airplane is flying at a speed of 300 mi/h at an altitude of one mile.
As we know,
From the relation between time-distance-speed
distance = time×speed
Speed = 300 mi/h
let distance be d and time be t
d = 300t
We can write the above equation as:
The horizontal distance that the plane has flown:
d(t) = 300t
Thus, the horizontal distance that the plane has flown can be represented as a function of t d(t) = 300t.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
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a cheetah has the ability to accelerate quickly in 3 seconds suppose a cheetah could travel 1.5 hours at top speed covering 11 1.9 miles. how far can a cheetah travel in 1 hr?
The cheetah will travel a distance of 74.6 miles in one hour.
How do you define the relation of speed, time and distance?Any moving object travels a certain distance over time. We can calculate the speed using these two parameters.
We all know that speed equals distance divided by time. The fundamental unit of speed would be meters per second or 'm'/'s'.However, speed can also be expressed in different units, including such meters per minute as well as kilometers per hour. Speed is usually expressed in kilometers per hour. It is critical to remember that all unit symbols are recorded in the singular.The rate of displacement is actually referred to as speed. These three entities are linked by a formula:
Speed = Distance/Time
The time taken by the cheetah to cover the distance of 111.9 miles is 1.5 hour.
Put the values;
Speed = 111.9/1.5
Speed = 74.6 miles/ hour
Therefore, the distance covered by the Cheetah in 1 hour is 74.6 miles.
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18. Which correctly applies the distributive property?
O2(2+3) = 6 – 2
O2(x + 3) = 2x+6
O2(x + 3) = 6x
O2(2 + 3) = 2r/3
Answer:
Option B==========================
The distributive property is:
a(b + c) = ab + acApply this to the options:
A) 2(2 + 3) = 2*2 + 2*3 = 4 + 6, not matching, no;B) 2(x + 3) = 2x + 2*3 = 2x + 6, matching, yes;C) 2(x + 3) = 2x + 6, as above, not matching, no;D) 2(2 + 3) = 4 + 6, not matching, no.Answer:
b) 2(x + 3) = 2x + 6
Step-by-step explanation:
The formula we refer to is,
→ a × (b + c) = (a × b) + (a × c)
The option obeys distributive law is,
→ 2 × (x + 3) = (2 × x) + (2 × 3)
→ 2(x + 3) = 2x + 6
Hence, option (b) is correct.
expanded:
Kaleb compared the perimeters of two
posters hanging on his bedroom wall.
60 cm
What is the perimeter
of the football poster?
86 cm
What is the perimeter
of the basketball poster?
Which poster has a
greater perimeter?
catam
55 cm
Answer:
1. The perimeter of the basketball poster is 240.
The perimeter of the football poster is 282.
3. Football poster has the greater perimeter.
Step-by-step explanation:
To find the perimeter of the basketball poster you multiply the given side by 4 since there is 4 sides. So 60 * 4 = 240.
To find the perimeter of the football poster you use the formula 2(l+w). So our l (length) is 86, while our w(width) is 86. So plug it in the formula.
2(55+86)=282.
282 > 240, which means that the football poster has a greater perimeter.
Hope that helps, have a good day!! :D
Kane’s furniture store advertising table at 6% discount. The original selling price was $106, and the sale price was $100. What is your price consistent with the ad? Explain.
hmmm ok, so the advertisement says that original price is 106 and is on a 6% discount, ok, how much will that be?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 106}}{\left( \cfrac{6}{100} \right)106}\implies 6.36[/tex]
so, if the item is discounted by 6%, that'd be then 106 - 6.36 = 99.64, but they are saying they have it for 100? something fishy is going on.
What is the perimeter of square STUV? HELP PLSSSS
The perimeter of square STUV is 32.98 units
Calculating perimeterFrom the question, we are to calculate the perimeter of the given square.
To do this, we will determine one side length of the given square
The length of a side is the distance between the two end points
Using the points U and T
U(-7, 9) and T(1, 7)
Using the formula for the distance between two points
d = √(x₂ - x₁)² + (y₂-y₁)²
x₁ = -7
y₁ = 9
x₂ = 1
y₂ = 7
Thus,
The distance, d, between the points is
d = √(1 - -7)² + (7-9)²
d = √(1 +7)² + (-2)²
d = √(8)² + 4
d = √64+ 4
d = √68
d = 8.2462
This means the length of each side of the square is 8.2462 units
l = 8.2462 units
The perimeter, P, of a square is given by
P = 4l
P = 4 × 8.2462
P = 32.9848
P ≈ 32.98 units
Hence, the perimeter of square STUV is 32.98 units
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A Gas tank can pump 4gallons in 5/6 of a minute how many gallons can it pump per minute?
The number of gallons that it can pump in a minute will be 4.8 gallons.
How to compute the fraction?.From the information, the Gas tank can pump 4gallons in 5/6 of a minute.
Therefore, the gallons that can be pumped in a minute will be:
= 4 ÷ 5/6.
= 4 × 6/5
= 24/5
= 4.8 gallons.
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Review 16
Madison wrote a 6-digit number in her math
notebook and then subtracted the number from
689,142. She got a difference of 404,433. What is
the number Madison wrote?
Ashton is hosting a banquet. He plans to spend $400, plus or minus $50, at a cost of $25 per guest. Solve |25x-400|= 50 to find the maximum and minimum number of guests. If there can be up to 7 guests at each table, what is the minimum number of tables Ashton should reserve so that every guest has a seat?
Answer: The maximum is 18 and the minimum is 14. He should rent at least 3 tables.
Step-by-step explanation:
When there can be up to 7 guests at each table, the minimum number of tables that Ashton should reserve so that every guest has a seat will be 3 tables.
How to calculate the value?It should be noted that the expression given is illustrated as:
|25x-400|= 50
25x = 50 + 400
25x + 450
Divide
x = 450/25
x = 18
The maximum number of guests will be 18.
The minimum number will be:
25x = 400 - 50
25x = 350
Divide
x = 350/25
x = 14
The minimum number is 14.
Therefore, when there can be up to 7 guests at each table, the minimum number of tables that Ashton should reserve so that every guest has a seat will be:
= 18 / 7
= 3 tables approximately.
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What is the solution to this equation?
x+ 14 = -6
OA. x= -8
OB. x=-20
OC. X = 20
OD. x=8
Can I get helped with the following attachment
Maybe someone can give you answer if you also include the data table for them to calculate
In Exercises 1–10, determine whether each relation is a function.
Give the domain and range for each relation.
7 . {(-3, -3), (-2, -2), (-1, -1), (0, 0)}
9. {(1, 4), (1, 5), (1, 6)}
The relation 7 is a function and the relation 9 is not function.
How to determine whether each relation is a function?Relation 7
The relation is given as
{(-3, -3), (-2, -2), (-1, -1), (0, 0)}
For a relation to be a function, no x value must point to multiple y value
Using the above statement as a guide, the relation is a function.
This is so because each domain value {-3, -2, -1, 0} point to different range value {-3, -2, -1, 0}
Function 9
The relation is given as
{(1, 4), (1, 5), (1, 6)}
For a relation to be a function, no x value must point to multiple y value
Using the above statement as a guide, the relation is not function.
This is so because each domain value {1} point to the same range value {4, 5, 6}
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Solve x ^ 2 - 5x + 10 = 0 using the quadratic formula .
Answer:
2-5X + 10= 0 = 75
Using The Form Quadratic Is,
Step-by-step explanation:
The Step By Step Explanation Is Simple,
2-5= 3
+
3+10=13
But Were Missing The 5x's, So It's Time To Add It.
13+3=16 x 5= 75
As You See, Our Answer Came To 75, So Therefore,
Your Answer Is 75.
Please help me!! Please and thank you!! This is my last question yall…
Answer:
u didn't add any question so how are we gonna help
What is the Question to 65+23
Answer:
88
This is just plus 2 digits number toghether
Answer:
88
Step-by-step explanation:
(65 + 23 = 88)
60+20=80
5+3=8
80+8=88
F (x) =2x+3^2 (x-1)3 state of degree
What is the largest number that rounds to 500 when rounding to the nearest 100? Show
how you know?
A:530
B:534
C:535
D:540
E:544
F:545
The largest appropriate number out of the given options after rounding off is 545(five hundred forty-five).
What is rounding off?
When a number is rounded off, its value is maintained but is brought near to the coming number, simplifying the number. For entire figures as well as numbers at different places of hundreds, knockouts, tenths,etc., it's done. A round number is constantly understood to stand for a value or value near the nominal value expressed in both formal and informal language. When a number is rounded, it's reduced to a simpler value while retaining a significant portion of its original value.
Since the rounding is off to the nearest 100's(hundreds), the smallest number will be in the range of (450, 499) both(two) inclusive.
Since its asking about the smallest(least) number, the number that is the smallest(least) will be 450
For the largest(greatest) number the range may vary between (501, 549) both inclusive
This means that any number rounded to the nearest 100's(hundreds) will be 500
Since it is asking for the largest(greatest) number, the number will be 549
So, both(two) the numbers largest( 549) and the smallest (450) when rounded to the nearest 100's(hundreds) will result in 500.
Hence, the largest appropriate number out of the given option is 545(five hundred forty-five.
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The product of 0.61 and 4 please
Answer:
4.61
Step-by-step explanation:
4.00 is the same as 4
4.00
0.61
--------+
4.61
when x=6 and y=3, which of the expressions below will be greater than 100?
Answer:6 will be greater
Step-by-step explanation:
Name all the line segments that are skew to line segment BF
The line segment that is skew line to line segment BF is CD.
Skew line:
Skewed lines are two lines that are not parallel to one another, and neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist on several planes. Two lines in two-dimensional space can either intersect or run parallel to one another. Therefore, skew lines are impossible in 2D space.
The line segment AB is perpendicular to the line segment BF which means it is not the skew line to line segment BF
The line segment CD is not parallel and not perpendicular to the given line segment BF which means it is a skew line to the given line segment BF.
Therefore, The line segment that is skew line to line segment BF is CD.
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How to solve this step by step
The solution to the given equation are -2/5 and 1
Solving linear equationsLinear equation are equation that has a linear degree of 1. The standard linear equation is expressed as y - mx + b
Given the equation below:
(5v +2)(1 - v) = 0
Equate both expressions to zero to have:
5v+2 = 0 and 1 -v = 0
For the expression 5v+2 = 0
5v = -2
v = -2/5
Similarly
1 - v = 0
v = 1 + 0
v = 1
Hence the solution to the given equation are -2/5 and 1
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Write 5/18 as a decimal
Answer:
0.2777777777777
Step-by-step explanation:
To find the decimal of a fraction, you must divide the numerator by the denominator
5/18 = 0.27 (write a line ontop of the 7 to show that the 7 repeats)
Point K is between Points J and L. KL = 9x + 2, KJ = 5x 8 and JL= 12x. Find KL.
The length of KL is 35 units
How to determine the length KL?The given parameters are:
Point K is between Points J and L. KL = 9x + 2, KJ = 5x 8JL= 12x.The above means that
JL = JK + KL
So, we have
5x - 8 + 9x + 2 = 12x
Evaluate the like terms
2x = 6
Divide by 2
x = 3
Substitute x = 3 in KL = 9x + 2,
KL = 9 x 3 + 8
Evaluate
KL = 35
Hence, the length of KL is 35 units
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