Answer:
.
Step-by-step explanation:
the amount that Diego earns at his part time job is proportional to the number of hours he works. he earns $10 per hour.
a. writes an equation in the form y = KX to describe this situation, where x represents the hours he works, and y represents the dollars he earns
Answer:
y = 10xStep-by-step explanation:
Number of hours worked = xTotal earning = yEarning per hour = $10The proportional relationship formula for this situation is:
y = 10xWe just substituted k with 10 to represent hourly earning.
Let hours be x
He earns in 1 h=10x=10(1)=10He earns in 2h=10(2)=20Hence the expression is
\(\\ \sf\longmapsto y=10x\)
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
Write √(-12) in simplest radical form
Answer: \(2i\sqrt{3}\)
where \(i = \sqrt{-1}\)
====================================================
Work Shown:
\(x = \sqrt{-12}\\\\x = \sqrt{-1*4*3}\\\\x = \sqrt{-1}*\sqrt{4}*\sqrt{3}\\\\x = i*2*\sqrt{3}\\\\x = 2i\sqrt{3}\\\\\)
Therefore, \(\sqrt{-12} = 2i\sqrt{3}\)
------------
Explanation:
The basic steps are to factor the radicand such that we pull out the -1 and we also pull out the largest perfect square factor. That way we can then apply the rule \(\sqrt{A*B} = \sqrt{A}*\sqrt{B}\) to break up the root and simplify.
Point K is located at ( 1 , 2 ) on the following coordinate plane. A square that has a perimeter of 20 units will be drawn so that K is one vertex of the square. Which three ordered pairs could represent the location of another vertex of the square? Select the three correct answers.
Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).
To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.
One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.
Using the distance formula, we get:
\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5
Simplifying and squaring both sides, we get:
(x-1)^2 + (y-2)^2 = 25
Expanding the left side and simplifying, we get:
\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0
Completing the square for x and y, we get:
\((x-1)^{2}\) + \((y-1)^{2}\) = \(6^{2}\)
This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.
Using this method, we can find several possible locations of the other vertices of the square. Three of them are:
(7, 2), (-5, 2), (1, 8)
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Corrine is purchasing beads to make a new necklace and bracelet set. The two pieces of jewelry each need silver and green beads. The necklace requires 25 silver beads and 15 green beads. The bracelet requires 10 silver beads and 5 green beads. Corrine paid $27.50 for the necklace beads and $10 for the bracelet beads. How much does each silver bead cost? How much does each green bead cost? Be sure to show your work and explain your answer.
Each silver bead costs $0.50, and each green bead costs $1.
Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.
According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.
The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.
Using this information, we can set up the following system of equations:
25s + 15g = 27.50 (Equation 1)
10s + 5g = 10 (Equation 2)
We can solve this system of equations using any appropriate method, such as substitution or elimination.
Let's use the elimination method to solve the system:
Multiplying Equation 2 by 3, we get:
30s + 15g = 30 (Equation 3)
Subtracting Equation 3 from Equation 1:
25s + 15g - (30s + 15g) = 27.50 - 30
-5s = -2.50
s = 0.50
Now, substituting the value of s into Equation 2:
10(0.50) + 5g = 10
5 + 5g = 10
5g = 5
g = 1
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There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 play attack only. Represent the information on a Venn diagram and find number of players who play all the three positions
Answer: There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 ...
Step-by-step explanation:Represent the information on Venn diagram. 2.how many players play all the three positions.
Plsss help! If WX=s+32 and VY=s, what is the value of s?
Answer:
s = 32
Step-by-step explanation:
according to the midline theorem , a segment joining the midpoints of two sides of a triangle is
half the length of the third side , that is
VY = \(\frac{1}{2}\) WX , so
s = \(\frac{1}{2}\) (s + 32) ← multiply both sides by 2 to clear the fraction
2s = s + 32 ( subtract s from both sides )
s = 32
Answer:
s = 32
Step-by-step explanation:
Triangle Midsegment Theorem states that if WV = VU and UY = YX, then VY || WX and VY = (1/2)WX
\(s=\frac{s+32}{2} \\2s = s + 32\\s = 32\)
We can check this because the length of WX is double the length of VY.
On a number line, the coordinates of X, Y, Z, and W are - 6, -2, 4, and 8, respectively. Find the lengths of the two segments below. Then tell whether they are congruent
XY and ZW
If the coordinates of X, Y, Z, and W on a number line are - 6, -2, 4, and 8, respectively, then the lengths of the segment XY is 4 and that of the segment ZW is also 4, and hence, these two segments (XY and YZ) are indeed Congruent in nature.
To increase the understandability of this question, we will go ahead a visual representation of the number line based on the condition mentioned in the question statement, attached hereby as "Number Line (-10 to 10)".
As per the figure, we can clearly see that the line segment XY begins at (-6) on the number line and ends at (-2), i.e., Length of XY is:
[(-2) - (-6)] = 4.
Similarly, we can also see that the line segment ZW begins at (4) on the number line and ends at (8), i.e., Length of ZW is:
(8 - 4) = 4.
Also, since the lengths of both XY and ZW are same, i.e., 4 Units, they are congruent in nature.
Number Line: In elementary mathematics, a number line is a picture of a graduated straight line, with real numbers, (generally integers, both positive and negative) at equal intervals on it.Congruent Lines: Two line segments of equal lengths are known to be congruent.To learn more about number line, click on the link below.
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Need help ASAP please!??
Answer:
Corresponding angles converse theorem
Step-by-step explanation:
Angles x and y are corresponding angles.
This makes the lines parallel by the converse of that theorem.
This makes it similar by the corresponding angles converse theorem.
Definition of converse
the reverse of another
The corresponding angles theorem is for the congruency of the angles by parallel lines. Here we want to see if the lines are parallel given the congruency of the angles.
We can flip the operation, checking to see if the angles are congruent, which proves that the lines are parallel.
-Chetan k
Your friend estimated that it would take 5 hours to finish an art project. It actually took him 16 hours to finish the project. The amount of time it took to finish the project was % of the estimated time Use pencil and paper. What does it mean to have more than 100% of something? Give at least two examples The amount of time it took to finish the project was % of the estimated time (Type an integer or a decimal.)
Answer:
320%
To have over 100% of something means that you have more than the original number you had.
Step-by-step explanation:
Step-by-step explanation:
To find what percent a first number is of second number, divide the first number by the second number and multiply by 100%.
To find what percent 16 is of 5, divide 16 by 5 and multiply by 100%.
16/5 * 100% = 3.2 * 100% = 320%
"Percent" literally means "per 100."
100% means 100 out of 100, and means an entire amount.
More than 100% percent means more than the entire amount.
5 hours was the estimated time. 100% of 5 hours is 5 hours, the entire amount. More than 100% is more than the entire amount, so it is more than 5 hours. 16 hours is certainly much more than 5 hours, and it is 320% of 5 hours.
what is 300+45-9x2+22-1+2
Answer:
350
Step-by-step explanation:
Use PEMDAS.
\(300+45-9*2+22-1+2\)
300+45-18+22-1+2
345-18+22-1+2
327+22-1+2
349-1+2
348+2
350
Consider rolling a six-sided die. Let A be the set of outcomes where the roll is an even number. Let B be the set of outcomes where the roll is greater than 3. Calculate and compare the sets on both sides of De Morgan’s law.
1. \((A \cup B)^c = A^c \cap B^c\)
2. \((A \cap B)^c = A^c \cup B^c\)
Answer:
See below
Step-by-step explanation:
\(A = \{2, 4, 6\}\)
\(A^c =\{1, 3, 5\}\\B = \{4, 5, 6\}\\B^c = \{ 1,2, 3\}\)
To prove 1 we have
\((A \bigcup B) = \{2, 4, 6\} \bigcup \{4, 5, 6\} = \{2, 4, 5, 6\}\\(A \bigcup B) ^c =\bold{\{1,3\}}\\A^c \bigcap B^c = {\{1, 3, 5\} \bigcap \{1, 2, 3\} =\bold{\{1,3\}}\\\)
Hence proved
To prove 2
\((A \bigcap B) = \{2, 4, 6\} \bigcap \{4, 5, 6\} = \{4, 6\}\\\\(A \bigcap B)^c = \bold{\{1,2, 3, 5\}}\\A^c \bigcup B^c = \{1, 3, 5\} \bigcup \{1, 2, 3\} = \bold{\{1,2,3,5\}}\\)
Hence proved
Notes
The complement of a set is the set of all elements not in the set
Here the set of all outcomes is {1, 2, 3,4,5, 6}
So if A = {2, 4, 6} then the complement of A s=is the set of outcomes not in A ie the set {1, 3, 5} which is the set of odd numbers on a die throw
The union of two sets is the set of all elements in both sets without duplication
The intersection of two sets is the set of all elements common to both sets
30-60-90 perfect triangles
Find the value of x and y.
please help! due at 11:59!!
Answer:
b
Step-by-step explanation:
2. Victoria deposits $1500 into each of two savings accounts. • Account A earns 3.5% annual simple interest. • Account B earns 3.5% interest compounded annually. Victoria does not make any additional deposits or withdrawals into either account. Which amount is closest to the difference between the interest Victoria would earn in Account B and the interest she would earn in Account A at the end of 4 years?
the amount closest to the difference between the interest Victoria would earn in Account B and the interest she would earn in Account A at the end of 4 years is $22.32.
What is compound interest?
The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate is raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.
Using the formula for compound interest, we can find the amount at the end of 4 years in Account B:
\(A = P * (1 + r/n)^{(nt) = $1500 * (1 + 0.035/1)^{(14) = $1732.32\)
The interest earned in Account B over 4 years is the difference between the amount at the end of the period and the principal:
I = A - P = $1732.32 - $1500 = $232.32
Therefore, the difference between the interest Victoria would earn in Account B and the interest she would earn in Account A at the end of 4 years is approximate:
$232.32 - $210 = $22.32
Therefore, the amount closest to the difference between the interest Victoria would earn in Account B and the interest she would earn in Account A at the end of 4 years is $22.32.
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Please please help me with this i have 40 missing assignments, if you help YOUR AMAZING
The volume of the prisms are:
1. 432 yd³
2. 36in³
3. 252 m³
4. 240 ft³
5. 576 mm³
6. 144 cm³
7. 343 m³
8. 120 yd³
9. 150 in³
How to determine the volumeThe formula for calculating the volume of a rectangular prism is expressed as;
V = lwh
such that;
l is the lengthw is the widthh is the heightNow, substitute the value for each of the prisms, we have;
1. Volume = 6 × 6 ×12
Multiply
Volume = 432 yd³
2. Volume = 2 ×9 × 2
Multiply
Volume = 36in³
3. Volume = 9 × 4 × 7
Multiply
Volume = 252 m³
4. Volume = 10 × 8 × 3
Multiply
Volume = 240 ft³
5. Volume = 4 × 12 × 12
Multiply the values
Volume = 576 mm³
6. Volume = 6 × 8 × 3
Volume = 144 cm³
7. Volume = 7 × 7 ×7
Volume = 343 m³
8. Volume = 8 × 3 × 5
Volume = 120 yd³
9. Volume = 5 × 6 × 5
Volume = 150 in³
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Need help on this question pls help!!!!!!!
11 times the sum of a number and 3
Answer:
11(x+3) is correct answer. Please Mark it as brainlist answer.
Step-by-step explanation:
let's say the unknown number be x
11(x+3)Simplify it:
11(x+3)
=11x+33A
B
C
D
37. What is the length of side P in the figure below?
6.7 cm
11 cm
15 cm
45 cm
20 cm
25 cm
P
The length of the side P is 15 cm. And the right option is C.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
To calculate the length of side P we use Pythagoras theorem's formula
Pythagoras formula:
a² = b²+c²......................... Equation 1Where:
a = Diagonal of the rectangleb = Length of the rectanglec = Width of the rectangleFrom the diagram,
Given:
a = 25 cmb = 20 cmc = p cmSubstitute these values into equation 1
25² = 20²+p²p² = 25²-20²p² = 225p = √225p = 15 cmHence, the right option is C 15 cm.
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Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. Does the situation involve permutations, combinations, or neither? Choose the correct answer below. A. B. C. Neither. A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects.
Answer:
C. Neither
Step-by-step explanation:
The permutation is a selection of objects from a given sample in an ordered manner .
The combination is a selection of objects from a given sample irrespective of an order of arrangement.
The given line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects So it fits neither of the combinations or permutations.
So the best answer is neither.
Identify the method that will be used to solve for x for each equation.
4x = 20
X - 11 = 9
5x + 6x = 22
5 (x - 2) = 30
Answer:
Identify the method that will be used to solve for x for each equation.
4x = 20
✔ division property of equality
x – 11 = 9
✔ addition property of equality
5x + 6x = 22
✔ combining like terms
5(x – 2) = 30
✔ distributive property
Step-by-step explanation:
Using the distributive property what is 5(2y +1) in simplest form?
Answer:
5(2y +1)
Step-by-step explanation:
simplest form =10y+5
please help! its extremely confusing
Answer:
x = 10, y = 20
Step-by-step explanation:
7x + 20 + 90 = 180 (adj angle on st line)
therefore x = 10
5x + 2y = 90 (vertically opposite angle)
2y = 40
y = 20
will give brainliest to correct answer
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
What is an arithmetic sequence?Arithmetic succession or arithmetic sequential is a numerical series in which the difference between subsequent terms is uniform.
Let's check all the options, then we have
A. {-6, 1, 8, 15, 22,...}, then the common difference is given as,
d = 1 - (-6) = 8 - 1 =
d = 7 = 7
B. {64, 32, 16, 8, 4,...}, then the common difference is given as,
d = 32 - 64 = 16 - 32
d = -32 ≠ - 16
C. {1, 2, 4, 8, 16,...}, then the common difference is given as,
d = 1 - 2 = 2 - 4
d = - 1 ≠ - 2
D. {1, 3, 6, 10, 15,...}, then the common difference is given as,
d = 1 - 3 = 3 - 6
d = - 2 ≠ - 3
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
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If 65% of Americans are overweight, how many people would be overweight in a city of 1.5 million?
Answer:
hey There
Step-by-step explanation:
This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).
Answer:
66.9%
i hope thats right
At Howard High School, 6% of the students ride bikes to school. If 950 students attend Howard High School, how many students ride a bike to school?
I need the answer like rn...
Answer:
19 students ride a bike to school
i don't smile for the camera, (finish the rest correctly u get brainliest)
Step-by-step explanation:
only smile for youuuuuuuu
Answer:
I only smile for the money, lol
Step-by-step explanation:
Select the correct answer from each drop-down menu. v The quotient of x^2+x-6/x^2-6x+5÷x^2+2x-3/x^2-7x+10
Answer:
x ^2 −11x3+10x2−9x+5x2
x^2
22. How many positive integers less than 1000 a) are divisible by 7? b) are divisible by 7 but not by 11? c) are divisible by both 7 and 11? d) are divisible by either 7 or 11? e) are divisible by exactly one of 7 and 11? f ) are divisible by neither 7 nor 11? g) have distinct digits? h) have distinct digits and are even?
The set of positive integers less than 1000 that are:
a)Divisible by 7 are 142
b)Divisible by 7 but not by 11 are 130
c)Divisible by both 7 and 11 are 12
d)Divisible by either 7 or 11 are 220
e)Divisible by exactly one of 7 and 11 are 220
f)Divisible by neither 7 nor 11 are 780
g)Having distinct digits are 576
h)Having distinct digits and even are 337
We have,
A whole number that is greater than zero is known as positive integer
a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.
Total terms: 994, divided by 7, plus (n-1)
There are 142 total terms below 1000 that are divisible by 7.
b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.
The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.
c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.
There are 12 total integers below 1000 that can be divided by 77.
d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.
The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.
Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.
e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.
f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.
g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),
=> Unique digits from 1 to 100 equal 90.
=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),
=> Unique digits from 101 to 200 are: 100 to 28, 72.
=> Unique numbers between 201 and 1000 = 72 x 8 = 576.
h)Different digits and even values equal to 337
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help ASAP. Which relation is a function?
Answer:
Answer choice on the top right.
Step-by-step explanation:
A function of points can not share the same x value.
2x² + 10 factorización
Answer:
2(x² + 5)
Step-by-step explanation:
To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:
2x² + 10 = 2(x² + 5)
We can't factor anymore, so the answer is:
2(x² + 5)
Answer:
2(x² + 5)
Step-by-step explanation:
To factorise this, do the distributive property backwards. In other words:
2x² + 10
2x² ÷ 2 + 10 ÷ 2
x² + 5
2(x² + 5)
∴ 2(x² + 5) is the answer