roslyn has twenty boxes. thirteen of the boxes contain pencils, nine of the boxes contain pens, and three of the boxes contain neither pens nor pencils. how many boxes contain both pens and pencils?

Answers

Answer 1

The number of boxes containing both pens and pencils is 2.

What is set?

A set is defined as a well-defined collection of distinct objects. It is denoted by the capital letters of the English alphabet. Its value remains the same for every individual.

Calculation for the number of boxes containing both pens and pencils

Total number of boxes is given by the union of two sets A and B; i.e. A∪B= 20

Boxes having pencils is given by the set A = 13

Boxes having pens is given by the set B = 9

Boxes having neither pens nor pencils, A'∩B' = 3

Boxes containing both pens and pencils are given by the intersection of the sets, A∩B

A∩B = A + B - A∪B

= 13 + 9 - 20

= 2

Hence, the number of boxes containing both pens and pencils is 2.

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Related Questions

17 added to 4 times a number is 57.

(4n)17 = 57

(17 + 4)n = 57

17 + 4n = 57

17 + 4 + n = 57

Answers

17+4n=57 is the correct answer.

What is the relationship between the 5s in 5,519 help please

Answers

Answer:
The five in 5,000 is 10 times more than the 5 in 500.

Or

The five in 500 is 10 times less than the 5 in 5,000.

Explanation:

If you multiply 500 by 10 you get 5,000.
500 x 10 = 5,000

While if you divide 5,000 by 10 you get 500.
5,000/10 = 500

the driving distance between phoenix and los angeles is 599kilometers. the driving distancce between pheonix and chicago is approximately 2.3 x 10^3. a. which city is nearer to pheonix, los angeles, or chicago

Answers

Answer:

Los Angeles

Step-by-step explanation:

If you convert the scientific notation of Chicago (2.3x10³) to regular notation, that would be 2,300 km. Which is further out than LA.

Write the expression that represents this phrase: the quotient of 10 and x

Answers

The given statement "the quotient of 10 and x​" can be written in the form of an expression as 10/x

What is an Expression?

An expression in mathematics is a group of numbers, variables, and mathematical operations created in accordance with context-dependent principles.

Expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features.

The given statement "the quotient of 10 and x​" can be written in the form of an expression as shown below.

The quotient of 10 and x​ → 10/x

Hence, The given statement "the quotient of 10 and x can be written in the form of an expression as10/x

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order the fractions from least to greatest 3/5 1/5 1/6

Answers

Answer:

1/5, 1/6, 3/5.

Step-by-step explanation:

Answer:

1/6, 1/5, 3/5

Does this help?

question 13 about the width being turned into feet

Answers

The width of the banner is 8  feets

The banner is in the shape of a rectangle

The length of the banner or the rectangle is 20 feet

the length of the banner or the rectangle is 2.5 times the width

So here we need to find out the value of width of the banner or the rectangle  in feets

Let us assume the width of the banner or the rectangle  to be x feets

So, the length of the banner or the rectangle  would become 2.5 x

by solving this simple linear  equation 20 = 2.5x

                                      [tex]\frac{20}{2.5}[/tex]  = x

so the value of x appears to be 8 feets

hence, the width of the banner is 8  feets

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tolerance is an allowance made for imperfections in a manufactured object. the manufacturer of an oven specifies a temperature tolerance of ±15ºf. this means that the temperature inside the oven will be within 15ºf of the temperature to which it is set. write an absolute value equation to find the maximum and minimum temperatures inside the oven when the thermostat is set to 400ºf. let t represent the temperature inside the oven.

Answers

The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

How to to find the maximum and minimum temperatures ?

The function of absolute value calculates the separation between a point and an origin.

A less-than-compound inequality is represented by:

[tex] |x| \leq a[/tex]

then the solution is

[tex] - a \leq \: x \: \leq \: a[/tex]

according to the question

Temperature T is set to 400°F with a tolerance of 15°F, meaning that the absolute difference between T and 400°F may not be greater than 15°F; in other words:

[tex] |T - 400| \leq \: 15[/tex]

now apply the solution

[tex] - 15 \leq \: T - 400 \leq \:15[/tex]

then simplify this

[tex]T - 400 \ge \: - 15 \\ T \geq \: - 15 + 400 \\ T \geq \: 385[/tex]

[tex]T - 400 \leq \: 15 \\ T \leq \: 15 + 400 \\ T \leq \: 415[/tex]

Hence, The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

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Given −29.032 ÷ −0.76, find the quotient.

Answers

Answer:

38.2

Step-by-step explanation:

[tex]\boxed{+38.2}\\\\\sf 29 - 0\\= 29(0)\\29(0) - 228(76 \times 3)\\= 62(3)\\62(3) - 608(76 \times 8)\\= 15(2)\\15(2) - 152(76 \times 2)\\= 0[/tex]

Notice every time a number ended up in the hundreds place, it was because a number for example, 2, was dropped into the next digit of the number. Let's say I get 18 from subtracting, and there is a 4 in the hundreds place, then 18 becomes 184 subtracted by any number below it that the divisor can multiply to.Note: Anytime 2 negative numbers are divided by each other, they will have a positive quotient.

What are the exact values of a and b?

Answers

By using trigonometric relations, we will see that:

a = 7/2, b = (7*√3)/2

So the correct option is the second option, counting from the top.

What are the exact values of a and b?

Here we have a right triangle where we only know the value of the hypotenuse and one of the angles, and we want to find the measures of both of the legs (also known as cathetus).

Then we will use the two relations:

cos(θ) = (adjacent cathetus to the angle)/(hypotenuse)

With that relation we can find the value of b:

cos(30°) = b/7

cos(30°)*7 = b = (7*√3)/2

The other relation we will use is:

sin(θ) = (opposite angle to the given angle)/(hypotenuse)

With that we can get the value of a:

sin(30°) = a/7

sin(30°)*7 = a = 7/2

Then the correct option is:

a = 7/2, b = (7*√3)/2

Which is the second option, counting from the top.

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>
EXAMPLE 3
Marcus is putting new tiles on his kitchen floor. Each file is 1 square
foot. The kitchen floor is 6.1 feet wide and 9 feet long. Exactly how
many tiles will he use?

Answers

54.9
Explanation: you just have to multiply both numbers

k+4=5
k=?
Please I need help

Answers

Answer:

1 its an obvious answer cause 1+4=5

K=1 because 5-4=1 :)

Create your own math problem referring to real life problems.pls help i need it now thank you.

Answers

Answer: $40

Step-by-step explanation: Bob has $100 he gives $15 to each of his 4 friends how much money does he have left?

Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
O
U/N N/UT
아름
25 52
이름

Answers

The slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.

According to the given question.

We have a line AB containing the points A(4, 5) and B(9, 7).

Here, we have to find the slope of line AB.

As we know that, as we know that, the slope of a line is the ratio of the amount that y increases as x increases some amount.And the slope formula is m=(y2-y1)/(x2-x1) if a lines passes through the point (x2, y2) and (x1, y1).

Therefore, the slope of the line AB which passes through the points (4, 5) and B(9, 7)

= (7 - 5)/(9 - 4)

= 2/5

Hence, the slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.

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evaluate the expression

Answers

Answer:

16

Step-by-step explanation:

Step 1. Plug the numbers into the equation

Step 2. Solve using PEMDAS

[tex]\frac{6 ( 6 + 2)}{3}[/tex]

[tex]\frac{6 ( 8 )}{3}[/tex]

[tex]\frac{48}{3}[/tex]

16

Answer:

6(a+c)÷b

6(6+2)÷3

6×8÷3

48÷3

16 Ans

Step-by-step explanation 16is the answer

Someone please help its slope

Answers

Answer:

got u hommie -x-5

Step-by-step explanation:

graphed it on desmos

Answer: I hope this helps.

Step-by-step explanation:

Question 9 (1 point)
What was Sonia Sotomayor's strategy when she got a bad grade on a paper in college?

Answers

Sotomayor became the youngest judge in the Southern District and the first Hispanic federal judge in New York State. She became the first Puerto Rican woman to serve as a judge in a U.S. federal court.

1961: Sonia Sotomayor and her younger brother, Juan Jr., with their parents, Juan and Celina,  within the  family’s Bronxdale Homes apartment, a  housing project  project.

Sonia Maria Sotomayor was born in    City in the borough of the Bronx, where she spent her  youth . Her parents, Juan and Celina, were both born in Puerto Rico. Juan was a  mill-hand , Celina a nurse. When Sonia was three, shortly after the birth of her brother, Juan, the family moved from  a little  apartment in the South Bronx to the Bronxdale Homes, a  housing project  project. From kindergarten through eighth grade, Sonia Sotomayor attended the Blessed Sacrament Parish School. Life  reception  was difficult, as strained finances and friction between her parents were aggravated by her father’s worsening alcoholism. Little Sonia Maria Sotomayor found refuge in books and  within the  home of a loving grandmother who lived nearby. At age seven, Sonia Maria Sotomayor  was diagnosed with diabetes. Living with this disease taught her self-reliance; she soon learned to sterilize her own needles and inject herself with insulin.

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The temperature has been dropping 3 degrees Celsius per hour since midnight. If the temperature is
11 degrees at midnight, what is the temperature at 3:00AM?

Answers

Answer:

2 degrees Celsius

Step-by-step explanation:

I did this by just counting it out:

if the temperature drops 3 degrees every hour, that means we just subtract 3 for every hour after midnight

12:00-11

1:00-8

2:00-5

3:00-2

hope this helps :D

an air conditioning system can circulate cubic feet of air per minute. how many cubic yards of air can it circulate per​ minute?

Answers

We know that ,

1 feet= 0.33 Yard

Given that .

An air conditioning circulate 1 cubic foot per minutes

So it circulates 0.33 Yards per minute .

an air conditioning system can circulate 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​

13.32 yards per minute

Given that an air conditioning system can circulate 360 cubic feet of air per minute. This is the rate of cubic feet per minute. That is,

Rate = volume/time. Which is

360 = volume/ 1

Volume = 360 cubic feet

Convert cubic feet to cubic yard

1 cubic foot = 0.037 cubic yards

Multiply this by 360

Cubic yards = 360 × 0.037

Cubic yards = 13.32

Therefore, if 360 cubic feet can circulate air per minute, this is equal 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​ to 13.32 cubic yards of air which can circulate air per minute​

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Given y = x² + 3x - 2, find y when x = -2​

Answers

Answer:

y = -4

Step-by-step explanation:

y = x² + 3x -2

y = (-2)² + 3(-2) - 2

y = 4 - 6 - 2

y = -4

I hope this helps!

y=-4

y = x2 + 3x-2
y = (-2)2+3(-2) -2
y=4-6-2
y=-4

you simply plug in -2 anywhere you see an x.

a membership at the Y is $20 a month plus a down payment of $80 You have $500 to spend. How many MONTHS can you go to the gym for

Answers

Answer:

you can go to the gym for 21 months.

Step-by-step explanation:

1.) Organize: membership per month= $20, down payment= $80, to spend= $500.

2.) Make an equation: 20m+80<500.

3.) Solve: (subtract the down payment first) 500-80= 420 (divide 420 ($ left after the downpayment) by the monthly fee) 420/20= 21.

4.) Convert: (make sure not to mix up with numbers and subtract and or divide by the wrong numbers!) 21m.

5.) Finalize: you can go to the gym for 21 months.

Hope this helps! Comment below this if you have any questions :)


Solve system of equations.
-3 x-y=4
4 x+2 y=-8

Answers

The solution of the given system of equations is (0, -4)

We will use the substitution method.

Given the system of equations:

-3x - y = 4   ............ (1)

4x + 2y = -8   ..........(2)

Add 3x to both sides of (1):

-3x - y +3x = 4 + 3x

-y = 4+3x

Multiply by (-1)

y = -(4+3x)

Substitute y = -(4+3x) into equation (2)

4x + 2y = -8

4x + 2. (-(4+3x)) = -8

4x - 8 - 6x = -8

-2x -8 = -8  (Add 8 to both sides)

-2x -8 + 8 = -8 + 8

-2x = 0

x = 0

Substitute x = 0 into:

y = -(4+3x)

y = -(4+3 . 0) = -4

The solution is (0, -4)

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The perimeter of a pool is 150 m. The rectangle at the right is a
scale drawing of the pool. The length of each square on the grid
represents 1 cm. Draw another scale drawing of the pool using the
scale 25 m to 2 cm. Explain why your drawing is accurate. Is it accurate?

Answers

The we can draw a rectangle with length = 2 cm and width = 4 cm.

According to the statement

We have to find that the dimensions of the another rectangle.

So, For this purpose, we know that the

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

From the given information:

The perimeter of a pool is 150 m. The rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. Draw another scale drawing of the pool using the scale 25 m to 2 cm.

Then

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = 25/l = 25/2

Scale factor = l = 2cm

Then Similarly,

50/ w= 50/2

w = 4cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

So, The we can draw a rectangle with length = 2 cm and width = 4 cm.

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Consider the functions f(x)=-3x=3 and g(x)=-3x+4 find f(8)

Answers

Check out the attached photo

Find the coordinates of the vertices of the figure after the given transformation.

reflection across the x-axis

H(−4, 3), I(−1, 5), J(−4, 0)

Answers

The coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)

How to find the coordinates of the vertices of the figure after the given transformation?

The coordinates of the vertices of the figure are given as:

H(−4, 3), I(−1, 5), J(−4, 0)

The transformation is given as:

A reflection across the x-axis

The rule of reflection across the x-axis is

(x, y) = (x, -y)

When the above rule is applied on the coordinates of the vertices of the figure, we have:

H' (−4, -3), I'(−1, -5), J(−4, 0)

Hence, the coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)

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3. If Kristen spent 200 dollars then
was given 350 dollars, how much
does she have altogether?

Answers

Answer:

Step-by-step explanation:

Doesn't she have 350 dollars now? She already spent the 200 and she was THEN given 350.

A student discovers that, in the triangle shown here, the equation conclude from this fact? m² + n²/p² = 1 holds true. What can she conclude from this fact​

Answers

m² + n²/p² = 1  is not equation of triangle

Solution :

Triangle :

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. Equilateral triangle.

Pythagorean triples are any three positive integers that completely satisfy the Pythagorean theorem. The theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the right triangle.

m² + n²/p² = 1

Pythagorean triples are a set of 3 positive numbers that fit in the formula of the Pythagoras theorem which is expressed as, a2 + b2 = c2, where a, b, and c are positive integers. Here, 'c' is the 'hypotenuse' or the longest side of the triangle and 'a' and 'b' are the other two legs of the right-angled triangle. The Pythagorean triples are represented as (a,b, c). The most popular example of Pythagorean triples is (3, 4, 5). We can verify that 3, 4 and 5 satisfy the equation a2 + b2 = c2. Let us see how! 32 + 42 = 52 ⇒ 9 + 16 = 25. Observe the right-angled triangle given below which shows the Pythagorean triples, 3, 4, and 5.

triangle triplet :

3,4,5

let's try to prove this by using pre define triplet triangle  

m= 3

n=4

p=5

3*3+4*4/5*5= 1

9+16/25= 1

9*25 +16/25 =1

225+16/25=1

9.64[tex]\neq[/tex] 1

this

m² + n²/p² = 1  is not equation of triangle

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The value of 6 in the digit 43. 967 is
A. Unit
B. Tenths
C. Hundredths
D. Hundred

Answers

Answer:

C

Step-by-step explanation:

c would be correct !!

What form of correspondence does the function f(x) = 2x + 5 have?

Answers

A function is defined as a relation between a set of inputs having one output each. The function f(x)=2x+5 is a one-one

What is Function?

A function is defined as a relation between a set of inputs having one output each.

we need to check correspondence of the function f(x) = 2x + 5.

f(x)=2x+5

f'(x)=2

i.e increasing function (one-one).

But it is not onto because f(x) does not take all values in N.

Range of f(x)=Codomain.

It is a one one function.

Therefore the given function f(x)=2x+5 is a one one function.

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Expand:
y^4

i fell asleep in math class.. what is this smh

Answers

The expansion of the expression given as y^4 is y^4 = y * y * y * 4

How to expand the expression?

The expression is given as:

y^4

According to the exponent law of indices, we have

x^n = x * x * x * ..... *xn

This means that, the expansion of the expression given as y^4 is

y^4 = y * y * y * 4

Hence, the expansion of the expression given as y^4 is y^4 = y * y * y * 4

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Answer: y * y * y * y

Step-by-step explanation:

y is being multiplied by itself four times

The function graphed above is:

Increasing on the interval(s)


Decreasing on the interval(s)

Answers

Answers in bold

Increasing on the interval (-2.5, 0)Decreasing on the interval (-∞, -2.5) U (0, ∞)

Each answer is in interval notation.

=================================================

Explanation:

The graph is increasing when the curve goes uphill when moving to the right.

This occurs on the interval -2.5 < x < 0 which condenses to the interval notation (-2.5, 0); be sure not to mix this up with ordered pair notation which unfortunately looks identical.

----------

The graph is decreasing when the curve goes downhill when moving to the right.

This happens on two separate intervals of -∞ < x < -2.5 and 0 < x < ∞ which condense to the interval notation (-∞, -2.5) and (0, ∞) respectively.

Joining those two intervals up with the union symbol gets us

(-∞, -2.5) U (0, ∞)

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