Answer:
8
Step-by-step explanation:
the sign will be positive as 68 is greater number and it is positive
-60+68
=8
Answer:
8
Step-by-step explanation:
(−60)+(+68)=
Add −60 and 68 to get 8.
8
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
Mr sithole intends to renovate his ceiling which is falling the carpenter quoted him R16000 for materials and labor .Mr sithole does not have the required cash at the moment he plans to borrow the money since the repairs are urgent .Mr sithole approached two bank A offered to lend him R16000 for five years at 18% per annum simple interest . bank B will lend him R16000 for five years at 16% interest compounded per annum.
Bank B will cost him R3205 MORE.
He must go with Bank A.
express the column matrix b as a linear combination of the columns of a. (use a1, a2, and a3 respectively for the columns of a.) a
We solve this system of equations and we can note that the system don't have a solution, so the vector b is not a linear combination of a1, a2, and a3.
First of all we put the vectors in terms of different variables, such as:
a1(1,-2,0)=(a,-2a,0);
a2(0,1,3)=(0,b,3b);
a3(6,-6,18)=(6c,-6c,18c);
To know that a vector is a linear combination we need to express it like a sum of other different vectors.
(2,-2,6)=(a,-2a,0)+(0,b,3b)+(6c,-6c,18c)
(2,-2,6)=(a+0+6c,-2a+b-6c,0+3b+18c)
We express this sum like a system of equations.
a+6c=2
-2a+b-6c=-2
3b+18c=6
We solve this system of equations and we can note that the system don't have a solution, so the vector b is not a linear combination of a1, a2, and a3.
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10% of the library books in the fiction section are worn and need replacement. 20% of the nonfiction holdings are worn. The library's holdings are 60% fiction and 40% nonfiction. The probability to get a worn book is?
Answer: 14%
Step-by-step explanation:
Let's assume that there are 100 books in total.
So there are 60 fiction books and 40 nonfiction books.
10% of 60 is 6.
20% of 40 is 8.
So there are 14 books out of 100 that are worn.
This is 14%
at a baseball game a vender sold a combined total of 141 sodas and hot dogs. the number of sodas was 51 more than the number of hotdogs sold. Find the number of sodas sold and the number of hot dogs sold
PLEASE PLEASE HELP WILL MARK BRAINLIST!!!!!!!!!!!!
The function rule for g(x) is h(x) = (x - 0)² - 7.
How to determine the vertex form of a quadratic equation?In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:
f(x) = a(x - h)² + k
2 = a(-3 - 0)² - 7
2 + 7 = 9a
9 = 9a
a = 1
Therefore, the required quadratic function in vertex form is given by:
h(x) = a(x - h)² + k
h(x) = (x - 0)² - 7
h(x) = x² - 7
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Label each figure correctly. Area is understood to be square feet and perimeter is understood to be feet.
1. Area of the figure = 702 square feet.
Perimeter = 114 feet
2. Area of the figure = 20 square inches.
Perimeter = 24 inches.
How to Find the Area and Perimeter?Area of a rectangle = length * width
Perimeter of a shape = length of all the surrounding of a figure.
1. Area = area of rectangle 1 + area of rectangle 2 = 27 * 24 + 9 * 6
= 702 square feet.
Perimeter = 30 + 27 + 24 + 18 + 6 + 9 = 114 feet
2. Area = area of rectangle 1 + area of rectangle 2 = 7 * 2 + 3 * 2
= 20 square inches.
Perimeter = 7 + 2 + 3 + 3 + 2 + 3 + 2 + 2
= 24 inches.
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please help and show work
Answer:
A
Step-by-step explanation:
0.15 × 12 = 1.8
ps : i'm not sure if it's true or not, but i think this is the answer. i'm sorry if i get you wrong
The difference of three times a number and 4 is 32. Find the number
Answer:
3x - 4 = 32
Step-by-step explanation:
We solve for x to find the number (knowing that x is the unknown number).
3x - 4 = 32
3x = 32 + 4
3x = 36
x/3 = 36/3
x = 12
Which expressions have a value of 16/81? Check all that apply.
Answer:
2) 4/9
Step-by-step explanation:
well when you simplify you will get this awnser.
\(\huge\text{Hey there!}\)
\(\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }\)
\(\mathsf{(\dfrac{2}{3})^4}\\\\\mathsf{= \bf \dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{2}{3}\times \dfrac{2}{3}}\\\\\mathsf{= \bf \dfrac{2\times2\times2\times2}{3\times3\times3\times3}}\\\\\mathsf{2\times2\times2\times2}\\\mathsf{2\times2 = \bf 4}\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = 9}\\\mathef{9\times9 = \bf 81}\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\mathsf{= \bf \dfrac{16}{81}}\)
\(\large\text{Option A. could POSSIBLY be your ANSWER}\)
\(\mathsf{(\dfrac{16}{3})^4}\\\\\mathsf{= \dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}}\\\\\mathsf{= \dfrac{16\times16\times16\times16}{3\times3\times3\times3}}\\\\\mathsf{16\times16\times16\times16}\\\mathsf{16\times16= \bf 256}\\\mathsf{256\times256 = \bf 65,536}\\\\\mathsf{\dfrac{\bf 65,536}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = \bf 9}\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{65,536}{\bf 81}}\\\\\mathsf{\bf = \dfrac{65,536}{81}}\)
\(\large\text{Option B. CANNOT be your POSSIBLE ANSWER}\)
\(\mathsf{(\dfrac{4}{81})^2}\\\\\mathsf{=\dfrac{4}{81}\times\dfrac{4}{81}}\\\\\mathsf{= \dfrac{4\times4}{81\times81}}\\\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{81\times81}}\\\\\mathsf{81\times81=\bf 6,561}\\\\\mathsf{\dfrac{16}{\bf 6,561}}\\\\\mathsf{= \bf \dfrac{16}{6,561}}\)
\(\large\text{Option C. CANNOT be your POSSIBLE ANSWER}\)
\(\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}\)
\(\large\text{Option D. could POSSIBLY be your ANSWER}\)
\(\mathsf{(\dfrac{1}{81})^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}\)
\(\large\text{Option E. CANNOT be your POSSIBLE ANSWER}\)
\(\boxed{\boxed{\mathsf{Answer:\bf Option\ A. (\dfrac{2}{3})^4} \&\ \bf Option\ D. (\dfrac{4}{9})^2}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
Select the values that are solutions to the inequality x2 + 3x – 4 > 0.
–6
–2
0
5
the answer to this question is -6&5
Your friend says that the solutions to the inequality 5x - 20x ≥ 60 are x2 - 4. Solve the inequality correctly. What error did your friend make?
x>23/5 is the answer
The friend makes a calculation error.
5x - 11 > 12
5x > 12 + 11
5x > 23
x > 23/5
A "mathematical error" when the calculation you entered makes mathematical sense, but the result cannot be calculated. If you try to divide by zero or the result is too large.
error, in applied mathematics, the difference between a true value and an estimate or approximation of that value. A common example in statistics is the difference between the mean of an entire population and the mean of a sample drawn from the population.
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the fraction a/24reduced by a factor 4, and the result is 5/b. Find a and b
PLEASE HELP MY SISTER
Answer:
A= 20
B= 6
Step-by-step explanation:
A= 5 times 4= 20
B= 24/4= 6
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
What is the ratio between the area of the bedroom and the area of the den?
The bedroom floor and den floor is similar. So ratio of areas of bedroom floor and den floor is equal to square of ratio of corresponding sides.
Determine the ratio of area of bedroom floor and den floor.
\(\begin{gathered} \frac{Bedroom_{}}{\text{Den}}=(\frac{14}{20})^2 \\ =(\frac{7}{10})^2 \\ =\frac{49}{100} \end{gathered}\)So ratio of area of bedroom to area of Den is 49:100.
The cost of carpet depends upon the area of the floor as same carpet is used nd sold by rate of per square foot. So ratio of cost to carpet the bedroom to cost to carpet the den is 49:100.
Determine the cost to carpet the den.
\(\begin{gathered} \text{ }\frac{C_{bedroom}}{C_{\text{Den}}}=\frac{49}{100} \\ \frac{120}{C_{Den}}=\frac{49}{100} \\ C_{Den}=120\cdot\frac{100}{49} \\ =244.8979 \\ \approx244.90 \end{gathered}\)So cost to carpet the den is $244.90.
Simplify the expression StartFraction a b Superscript 3 Baseline over a Superscript 4 Baseline b EndFraction plus left-parenthesis c Superscript 2 Baseline right-parenthesis Superscript 3 Baseline
The simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
What is the simplification of the expression?The given expression is simplified as follows;
The given expression is written as;
ab³/a⁴b + (c²)³
To simplify the expression given above, we will divide the fraction with the common factor as follows;
From the numerator; ab³, we will factor out "ab"
From denominator; a⁴b, we will factor out "ab"
The resulting expression becomes;
ab³/a⁴b + (c²)³
= b²/a³ + c⁶
Note: for the power of c, we simplify by multiplying 2 and 3 = 6
Thus, the simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
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Using a standard deck of cards, Rayna drew one card and recorded its value. She continued this for a total of 200 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 J Q K
Frequency 8 12 11 17 14 12 15 18 13 20 16 24 20
Based on the table, what is the experimental probability that the card selected was an A or 2?
1 over 10
2 over 13
one half
two thirds'
The experimental probability of drawing an A or 2 is 1/10.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To find the experimental probability of drawing an A or 2, we need to add the frequency of drawing an A and the frequency of drawing a 2 and divide it by the total number of draws.
Frequency of drawing an A = 8
Frequency of drawing a 2 = 12
Total frequency of drawing an A or 2 = 8 + 12 = 20
Total number of draws = 200
Experimental probability of drawing an A or 2 = Total frequency of drawing an A or 2 / Total number of draws = 20 / 200 = 1/10
Therefore, the experimental probability of drawing an A or 2 is 1/10.
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I WILL GIVE BRAINLIST IF ALL ANSWERED CORRECTLY
Injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and right sides. The area of the square is 128 square feet. What is the length of the track? Use the table to help you answer the questions.
Square 11.02 11.12 11.22 11.32 11.42 11.52
Value 121.0 123.2 125.4 127.7 130.0 132.3
Square 11.62 11.72 11.82 11.92 12.02
Value 134.6 136.9 139.2 141.6 144.0
1. Fill in the blanks to complete the description of the track. (2 points)
The track has ____ sides of the square and the distance around ____ complete circle(s).
2. The length of one side of the square is the square root of its area. Use the table to find the approximate length of one side of the square. Explain how you used the table to find this information. (2 points)
3. Use your answers above to find the total length of the part of the track that is made up of sides of the square. (2 points)
4. The circumference of (distance around) a circle is π times the diameter, or C = πd. A side of the square is the diameter of each half circle.
In your answer to question 1, you gave the number of complete circles included in the track. Use this answer and C = πd to find the approximate length of the circular part of the track to the nearest tenth of a foot. Use 3.14 for π and show your work. (2 points)
5. Find the approximate length of the track, including the straight and circular sections. (2 points)
Answer:
The length of the track is approximately 51.7 ft
The track has three sides of the square and the distance round a half of a complete circle
Step-by-step explanation:
The given track shape and measurements are;
The shape on the left side of the track = Square
The shape on the right side of the track = Half circle
The area of the square on the the left side of the track = 128 square feet
Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;
Area of the square portion of the track = s × s = s² = 128 ft²
Therefore, s = √(128 ft²) = 8·√(2) ft.
Whereby the side length of the square is bounded by the diameter of the half circle, we have;
Length of the diameter of the half circle = s = 8·√(2) ft.
The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.
The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.
Therefore;
The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft
The length of the track ≈ 51.7 ft
Which gives;
The track has three sides of the square and the distance round a half of a complete circle.
CLiCK ON THe PHOTO HeLP MeH
Answer:
3
Step-by-step explanation:
Answer:
Its 3
Step-by-step explanation:
Bcause 1/2 divded by 1/6 is 3
Which of the following is an equivalent
simplified expression for
3(2x + 1) - 2(4x - 1)
A. 2x + 1
B. -2x + 5
C. -X + 5
D. 14x + 1
E. 14x - 1
Answer:
B. -2x + 5
Step-by-step explanation:
First, distribute the 3 and 2 to the parentheses:
3(2x + 1) - 2(4x - 1)
6x + 3 - 8x + 2
Add like terms:
-2x + 5
So, the simplified expression is -2x + 5
B is the correct answer
Answer:
it is B
Step-by-step explanation:
3*2x=6x
2*4x=8x
1*3=3
1*2=2
6x-8x= -2x
3+2=5
i got the +2 because there are two negative signs and that makes it positive
Evaluate the expression. Identify the property used in each step.
Answer:
3/4 1/2 =3/5
Step-by-step explanation:
is √3100 rational? (yes or no)
Answer:
NO
Step-by-step explanation:
sqrt(3100) = sqrt(100) * sqrt(31)
sqrt(31) doesn't work (gives you 5.56776436283 ...)
SOMEONE HELP ME LOL
Answer:
y=3x+1
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS
Answer:
1000 = 450 + 50w
Step-by-step explanation:
She starts with $450 so that is why you add it. The amount she started with will not change.
She earns $50 per week so you add 50 multiplied by the number of weeks she works.
You do this until it equals 1000
What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
what to wright demo paragraph about Linear Equations pls help soon
A linear function is defined as y = mx + b, in which m is the slope and b is the y-intercept.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses tbe y-axis.More can be learned about linear functions at https://brainly.com/question/24808124
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What is the mode of this data set?
{4, 15, 6, 11, 7, 4, 3, 14}
Answer:
4
Step-by-step explanation:
A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)
write in the form a b, where a and b are positive integers:
The expression of the fraction 256^-3/4 in the form of a / b is equal to 1 / 64 where highest common factor between 1 and 64 is 1.
Expression of the fraction 256^-3/4 in the form a /b .
Where 'a' and 'b' are positive integers .
'a' and 'b' have no common factor than 1.
256^-3/4
= ( 1 / 256^3/4 )
= 1 / 2^ (8 × 3/4 )
= 1 / 2 ^ ( 2 × 3 )
= 1 / 2^6
= 1 / 2⁶
= 1 / 64 in the form of ( a / b )
Greatest common factor between 1 and 64 is equal to 1.
1 and 64 are positive integers.
Therefore, the expression of 256^-3/4 in the a/b fraction form is equal to 1/64.
The given question is incomplete, I answer the question in general according to my knowledge:
Express 256^-3/4 as a fraction. Write the fraction in the form a/b, where a and b are positive integers with no common factor greater than 1 .
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You take a 325 milligram dosage of ibuprofen. During each subsequent hour, the amount of medication in
your bloodstream decreases by about 29% each hour
Answer:
oka so now what
Step-by-step explanation: