The number of nails in each box is: 1300, 1400, 600, 1200, and 500
Given 5000 nails in five boxes.
Let X denote the universal set.
Then n(X) = 5000.
Let A denote the first box,
B denote the second box,
C denote the third box,
D denote the fourth box, and
E denotes the fifth box.
The first and second boxes have 2700 nails altogether.
⇒n(A ∪ B) = 2700
The second and third boxes have 2000 nails altogether.
⇒n(B ∪ C) = 2000
The third and fourth boxes have 1800 nails altogether.
⇒n(C ∪ D) = 1800
The fourth and fifth boxes have 1700 nails altogether.
⇒n(D ∪ E) = 1700
We need to find out how many nails are there in each box.
That is to find out: n(A), n(B), n(C), n(D), and n(E).
Note that all these five sets are disjoint. This means that the intersection is empty.
n(A ∪ B ∪ C ∪ D) = n(A ∪ B) + n(C ∪ D) = 2700 + 1800 = 4500
n(E) = n(X) - n(A ∪ B ∪ C ∪ D) = 5000 - 4500 = 500
n(D) = n(D ∪ E) - n(E) = 1700 - 500 = 1200
n(C) = n(C ∪ D) - n(D) = 1800 - 1200 = 600
n(B) = n(B U C) - n(C) = 2000 - 600 = 1400
n(A) = n(A U B) - n(B) = 2700 - 1400 = 1300
Therefore, the number of nails in each box is 1300, 1400, 600, 1200, and 500.
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Find X if
• B is between A and C;
• AB = x+5;
BC= 2 (x-3); and
AB ~ BC
A startup sports public relations company is looking to grow. They currently represent 1 client and plan on representing 2 additional clients each year. The following graph can be used to
help determine the number of clients, y, the company will have after x years.
Based on the context, what is the range of the function?
Answer:
Step-by-step explanation: 1x,2y
i need help with 23-26 help please
2.5, 0.92, 0.75, 0.925
28% of 80 is what number?
Answer:
22.4
Step-by-step explanation:
28% of 80 = [tex]\frac{28}{100}[/tex] of 80
=[tex]\frac{28}{100}[/tex] of 80 = [tex]\frac{28}{100}[/tex]*80
cut the zeros
=[tex]\frac{28}{10}[/tex]*8
=[tex]\frac{28}{5}[/tex]*4
=[tex]\frac{112}{5}[/tex]
=22.4
What is the greatest common factor of 18 12 16
The greatest common factor of 18 12 16 is the number 2.
Linear Equations: Mastery Test
Select the correct answer.
Which property of equality was used to solve this equation?
X-5=-14
X-5+5=14+5
X=-9b
A addition property of equality
B. subtraction property of equality
C. multiplication property of equality
D. division property of equality
The property of equality was used to solve this equation is addition property of equality
Addition property of equalityThe property states that the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
Given the expression
X-5=-14
Add 5 to both sides to have;
x-5 + 5 = -14 + 5
x = -14 + 4
x = -9
Hence the property of equality was used to solve this equation is addition property of equality
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Whats 452 divided by 2 x 12?
answer : 452\12 ×2
452/24
18.83333333 answer
What do I write for 23???
Find the area of a rectangle that has a length of 4.5 units and a width of 7.2 units. Write the numerical answer only.
maths geometry question
Step-by-step explanation:
with ABCD and ABDE being parallelograms, this means a indicated by the marks
AB = ED = CD
and with BD = DF that means that the line segments BF and CE are intersecting each other at their midpoint.
so they represent a pair of diagonals of a parallelogram, which makes BCFE a parallelogram.
An appliance store decreases the price of a 19-In television set 29% to a sale price of $442.69. What was the original price?
Answer:
$623.50
Step-by-step explanation:
(100 - 29)% = 71%
71% = 71 / 100 = 0.71
Original price:
442.69 / 0.71 = 623.50
Hope this helps
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 18 gallons of water. Ryan used 9.7 gallons to water his garden in June and 3 and one eighth gallons in July. How much water is left in the barrel?
24.575 gallons
5.175 gallons
3.168 gallons
3.125 gallons
The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons
Calculating quantityFrom the question, we are to determine how much water is left in the barrel
From the given information,
"The barrel is filled with 18 gallons of water"
and
"Ryan used 9.7 gallons to water his garden in June"
After this time,
The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons
= 8.3 gallons
Then,
3 and one eighth gallons in July
3 and one eighth = 3 1/8 = 3.125 gallons
The quantity of water that would be left is 8.3 gallons - 3.125 gallons
= 5.175 gallons
Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons
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Answer:
b
Step-by-step explanation:
What kind of passenger be considered a true negative ?
Answer: A someone with dangerous material passed by security
Step-by-step explanation:
If the big, green rectangle represents 1 whole, then what part of the whole is the shaded, gold
rectangle?
14
2 3
4
5
State your answer as a fraction.
6
The fraction that represents the part of a whole, which is shaded gold is 3/7.
What is fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole.
Given is a big green rectangle divided into seven equal segments. From the image, it can be seen that 3 segments out of the seven are colored with gold. Therefore, we can write that -
Number of segments colored = n[c] = 3
Total segments = n[T] = 7
We know that a fraction defines a part of a whole. The green Rectangle is one whole, therefore it can be concluded that -
1 whole = 7 segments = n[T].
Number of segments colored = n[c] = 3.
Therefore, we can say that the fraction that represents the part of a whole, which is shaded gold is given by -
n[c] / n[T] = 3 / 7
Therefore, the fraction that represents the part of a whole, which is shaded gold is 3/7.
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[The given question is not complete. Please refer to the image attached for complete question]
Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?
A: 19m=55.5−519 m is equal to 55 point 5 minus 5
B: 5m=19−55.55 m is equal to 19 minus 55 point 5
C: m=55.5−195m is equal to the fraction with numerator 55 point 5 minus 19 and denominator 5
D: 55.5=19m+555 point 5 is equal to 19 m plus 5
Answer:
b
Step-by-step explanation:
Trust me
The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5
Writing equationFrom the question, we are to determine the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal
From the given information,
"Arianys wants to ride her bicycle 55.5 miles"
and
"She has already ridden 19 miles"
Thus,
The number of miles she needs to ride more is
55.5 miles - 19 miles
= 36.5 miles
If m is the average number of miles she would have to ride for 5 more days to complete her goal,
Then, we can write that
m = 36.5/5
OR
m = (55.5 - 19)/5
Hence, the equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5
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What numbers are a distance of 34 unit from 18 on a number line?
Select the locations on the number line to plot the points.
Answer:
[tex]\dfrac{7}{8} \textsf{ and } -\dfrac{5}{8}[/tex]
Step-by-step explanation:
To find numbers that are [tex]\dfrac{3}{4}[/tex] units distance from [tex]\displaystyle \dfrac{1}{8}[/tex] , add and subtract [tex]\dfrac{3}{4}[/tex] to and from [tex]\displaystyle \dfrac{1}{8}[/tex]
One of the points is at [tex]\displaystyle \dfrac{1}{8} + \dfrac{3}{4}[/tex] units away and the other at [tex]\displaystyle \dfrac{1}{8} - \dfrac{3}{4}[/tex] units away
Compute [tex]\displaystyle \dfrac{1}{8} + \dfrac{3}{4} :[/tex]Each of the positive integers from 1 to 100 are written on a sheet of paper.
Some of these integers are erased. The product of those integers still on the paper leaves a remainder of 4 when divided by 5. Find the least number of integers that could have been erased.
Answer:
9 14 19 24 29 34 39 44 49 54 59 64 69 74 79 84 89 94 99
Use the factor theorem to write a polynomial equation that has solutions of 2, -2, and 4. (Hint: Suppose the solutions of a quadratic equation are 3 and 5. This means that x = 3 or x = 5 which gives us x - 3 = 0 or x - 5 = 0. The expressions are the factors of the polynomial which means that the equation is (x - 3)(x - 5) = 0.)
The equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.
What is the polynomial equation that has solutions of 2, -2, and 4?Roots are the points where the graph intercepts with the x-axis ( y = 0 ).
Given the roots in the question;
x = 2, -2, 3
Now, the root of x = 2 was found solving for x when x - (2) = y but y = 0.
Hence, (x - 2) is a factor.
Next, the root of x = -2 was found solving for x when x - (-2) = y but y = 0.
Hence, (x + 2) is a factor
And the root of x = 4 was found solving for x when x - (4) = y but y = 0.
Hence, (x + 2) is a factor
Now, combine all the factors into a single equation and simplify.
( x-2 )( x + 2 )( x - 4 ) = y
( x² + 2x - 2x - 4 )( x - 4) = 0
( x² - 4 )( x - 4) = 0
x( x² - 4 ) -4( x² - 4 ) = 0
x³ - 4x - 4x² + 16 = 0
x³ - 4x² - 4x + 16 = 0
x³ - 4x² - 4x + 16 = 0
Therefore, the equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.
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Simplify the expression. (2+1)×42÷2
Answer:
63
Step-by-step explanation:
Simplifying the expression,
→ (2+1) × 42 ÷ 2
→ 3 × 42 ÷ 2
→ 126 ÷ 2 = 63
Hence, the answer is 63.
The price of a computer is 899.00. The sales tax is 7%. What is the sales tax on this computer in dollars and cents?
Answer:
$62.93
Step-by-step explanation:
Convert 7% to a decimal and multiply by the price:
$899.00 x .07 = $62.93
7. The U.S. population in 2018 was estimated to be 327,200,000. Within that population, there were 30,357,000
people who were 18-29 years old and 52,431,000 people who were 65 years and older.
(a) According to the graphic, 85% of the 30,357,000 people who are 18-29 years old have tried vaping or
electronic cigarettes. Approximately how many people ages 18-29 said they have tried vaping or e-cigarettes?
Show your work.
(1 pt)
(b) Approximately how many people ages 65 and older said they have tried vaping or e-cigarettes? Show your
work.
(1 pt)
(c) Based on those estimates, how many more people ages 18-29 said they had tried vaping or e-cigarettes than
people ages 65 and older? Show your work.
(1 pt)
D
C
200 a
Given :
Data interpretation refers to the process of using diverse analytical methods to review data and arrive at relevant conclusions. The interpretation of data helps researchers to categorize, manipulate, and summarize the information in order to answer critical questions.
The importance of data interpretation is evident and this is why it needs to be done properly. Data is very likely to arrive from multiple sources and has a tendency to enter the analysis process with haphazard ordering. Data analysis tends to be extremely subjective. That is to say, the nature and goal of interpretation will vary from business to business, likely correlating to the type of data being analyzed. While there are several different types of processes that are implemented based on individual data nature, the two broadest and most common categories are “quantitative analysis” and “qualitative analysis”
.
U.S. population in 2018 was estimated to be 327,200,000
people who were 18-29 years old = 30,357,000
people who were 65 years= 52,431,000
85% of the 30,357,000 people who are 18-29 years old have tried vaping or
electronic cigarettes = 30,357,000 x85/100
people ages 18-29 said they have tried vaping or e-cigarettes
=2,580,345
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a parte inferior de una escalera debe colocarse a 3 pies de una pared. La escalera mide 10 pies de largo. ¿Qué tan por encima del suelo toca la escalera la pared?
[tex]\sqrt{10^2 - 3^2}=\boxed{\sqrt{91} \text{ ft}}[/tex]
group of 280 elementary school students and 40 adults are going on a field trip. They are planning to use two different types of buses to get to the destination. The first type of bus holds 50 people and the second type of bus holds 56 people.
Andre says that 3 of the first type of bus and 3 of the second type of bus will hold all of the students and adults going on the field trip.
Is Andre correct?
Answer:
yes!!! because the first 3 types of bus can hold 50 people and the other 3 types of bus can hold 56 people so the total will be 320 people
pls help asap I’ll give brainliest immediately.. plsss..
Answer:
You have the right form (vertex form). All that you have left to do is learn what parts of the equation signify what.
Step-by-step explanation:
Explanation:
In a quadratic function of form y = a
(
x
−
p
)
2
+ q, the axis of symmetry is found at x = p. As a result, in y = -4
(
x
−
8
)
2
+ 3, the axis of symmetry is at x = 8, since the formula is x - p = x - (+8).
The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).
With this information, the x and y intercepts, and a few other points found by plugging in x values and solving for y, you will be able to graph this parabola. Your graph, if done properly, will look like the following:
graph{y = -4(x - 8)^2 + 3 [-20, 20, -10, 10]}
Have this question.. 5x-3y=14
A 12- by 16-foot rectangular floor will be
covered by square tiles that measure 2 feet
on each side. If the tiles are not cut, how many
of them will be needed to cover the floor?
Can you please help me
Answer:
1) -√9
2) √18
3) |4.5|
Step-by-step explanation:
-√9 = -3
√18 = 4.2426406871 = 4.2
|4.5| = 4.5
↑
Absolute value - Those two lines mean that any number, positive or negative, will be positive.
Hope this helps :)
Find the sum of 3√2 and 2√8 in simplest form. Also, determine whether the result
is rational or irrational and explain your answer.
Answer:
7√2
7√2 is irrational since √2 is irrational
Step-by-step explanation:
3√2 + 2√8 = 3√2 + 2 × 2√2 = 3√2 + 4√2 = 7√2
7√2 is irrational since √2 is irrational
I WILL GIVE BRAINLYIST Which number is prime? Choose each correct answer. 41 41 42 42 43 43 44 44 45 45 46 46 47. THIS IS MULTIPLE ANSWER.
Answer:
It is 41, 43, 47! :D
Step-by-step explanation:
Apply it
What is the value of the expression 4(x - y)
when x = 7 and y = 1?
A 26
7
B 29
C 32
D 48
Apply your thinking
Students, write your response!
Pear Deck Interactive Slide
Curriculum Associal Do not remove this bar
Answer:
USE AIR MATH!!
Step-by-step explanation: