Benito and his family will save $1,315 by the move to Oakland.
Savings in house = $1200 - $565
= $635
Savings in food = $655 - $545
= $110
Saving in health care = $495 - $245
= $250
Saving in taxes = $625 - $450
= $175
Saving in necessities = $495 - $350
= $145
Total saving = $635 + $110 + $250 + $175 + $145
= $1,315.
Hence, Benito and his family will save $1,315 by the move to Oakland.
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Your question is incomplete, the complete question is:
Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities.
Oakland Los Angeles
Cost Housing $565 $1200
Food $545 $655
Health Care $245 $495
Taxes $450 $625
Other Necessities $350 $495
How much money will they save monthly by the move to Oakland? $1315, $1560, $1665, or $1765?
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 38 cards, which was 20% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Step-by-step explanation:
A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
On a bicycle, Shante rides for 3 hours and is 29 miles from her house. After riding for 7 hours, she is 65 miles away.
Shante rides at an average speed of 9.33 miles per hour.
We need to determine how many miles Shante rode per hour. We can set up an equation to solve this problem:
3 hours x M (miles per hour) = 29 miles
7 hours x M = 65 miles
We can then solve this equation to find out the number of miles she rode per hour:
3M = 29
M = 29/3
M = 9.67 miles per hour.
Therefore, Shante rode at an average rate of 9.67 miles per hour.
Now, we can find her average speed by dividing the total distance she has traveled by the total time she has traveled:
Therefore, Shante rides at an average speed of 9.33 miles per hour.
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Someone please help me answer my question.
The following solutions with regard to resolving or simplifying the radii of the circular pond are given below.
Part A: 5√100 + √164 meters = 5 × 10 + 2√41 meters
Part B: 5 × 10 + 2√41 meters = 50 + 2√41 meters
Part C: The radius of Pond B is 10√2 meters.
Part D: the radius of Pond B is greater than the radius of Pond A.
What is the justification for the above responses?Part A: The mistake is in Step 1. To simplify the square root of 164, we need to find its prime factors:
164 = 2 × 2 × 41
So, we can write:
√164 = √(2 × 2 × 41) = 2√41
Using this, we can rewrite Step 1 as:
5√100 + √164 meters = 5 × 10 + 2√41 meters
Part B: Using the corrected step from Part A, we can simplify the radius of Pond A as:
5 × 10 + 2√41 meters = 50 + 2√41 meters
So, the radius of Pond A is 50 + 2√41 meters.
Part C: The radius of Pond B is already simplified, so we don't need to do any additional steps. It is:
25√200/5 meters = 5√200 meters
We can simplify this further by finding the prime factorization of 200:
200 = 2 × 2 × 2 × 5 × 5
So, we can write:
√200 = √(2 × 2 × 2 × 5 × 5)
= 2 × 5√2
Using this, we can rewrite the expression for the radius of Pond B as:
5 × 2 × √2 meters
= 10√2 meters
Thus, the radius of Pond B is 10√2 meters.
Part D: We can compare the radii of the ponds using the original expressions by writing:
√164 < 25√200/5
Simplifying both sides:
2√41 < 10√2
Dividing both sides by 2:
√41 < 5√2
Squaring both sides (since both sides are positive):
41 < 25 × 2
41 < 50
So, the inequality is true. Therefore, the radius of Pond B is greater than the radius of Pond A.
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Full Question:
Two circular ponds at a botanical garden have the following radii:
Pond A: Sqrt(164) meters;
Pond B: 25Sqrt(200)/5 meters:
Todd simplified the radius of pond A this way:
5sqrt(164)
Step 1: 5sqrt(100) + Sqrt(164) meters
Step 2: 5(10 + 8)
Step 3: 5(18)
Step 4: 90
One of the steps above is incorrect.
Part A: Rewrite the steps so that it is correct
Part B: Using the corrected step from Part A, simplify the radius of Pond A.
Part C: Simplify the expression for the radius of pond B.
Part D: Write an inequality to compare the radii of the ponds, using the original expressions.
The heart of a black bear beats about 50 times per minute during normal sleep in the fall. When the animal hibernates in winter, its heart rate decrease by 84%. How many times per minute does a black bear’s heart beat during hibernation? Answer fast pls
Answer: 8 times per minute
Step-by-step explanation: 50 (1-84%) = 8
A group of friends wants to go to the amusement park. They have $109.75 to spend
on parking and admission. Parking is $8.75, and tickets cost $25.25 per person,
including tax. How many people can go to the amusement park?
Answer:
3 people
Step-by-step explanation:
Add 25.25 and 8.75 together which is $34 so then you $34 by 3 and get 102 so then you add tax. So only three people would be able to go.
Trig help,
Given: sin (0) = v3/2 and cos (0) < 0, determine cos(0)
There are more answer options below the photo
The cosine value of θ is approximately -0.7071.
What is the value of cosθWe know that:
sin(θ) = √(3/2)
Using the trigonometric identity:
sin^2(θ) + cos^2(θ) = 1
We can find cos(θ) by first finding sin^2(θ) and then solving for cos(θ):
sin^2(θ) + cos^2(θ) = 1
cos^2(θ) = 1 - sin^2(θ)
cos(θ) = ± √(1 - sin^2(θ))
Since cos(θ) is negative, we can choose the negative square root:
cos(θ) = - √(1 - sin^2(θ))
Substituting sin(θ) = √(3/2), we get:
cos(θ) = - √(1 - 3/2)
cos(θ) = - √(1/2)
cos(θ) = - √2/2
Since cos(θ) is negative and given cos(θ) < 0, we have:
cos(θ) = - √2/2
Therefore, cos(θ) is approximately -0.7071.
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Tom saved $60 each month for x months, and Karla saved $32 each month for y months. The
given equation represents this situation, where Tom and Karla saved a total of $960. If Tom saved
for 8 months, for how many months did Karla save?
Answer:
Karla Saved for 15 months.
Step-by-step explanation:
Tom saved 60 each month if he saved for 8 months then he made $480. Karla saved 32 each month, each of them saved the same amount, 480 because 480 + 480 = 960. divide 480 by 32 and you'll get 15. therefore Karla saved her money for 15 months.
Hope this helps :)
Please help me
Write 3 3/4 feet as a single fraction greater than one.
Answer: 9/4
Step-by-step explanation:
Answer:
15/4 feet
Step-by-step explanation:
When given a mixed number like [tex]3\frac{3}{4}[/tex], you multiply the denominator by the whole number and add the numerator.
In this case, multiply 3 x 4 and then add 3. After finding that value, put it over the original denominator, giving 15/4
Loni wants to open a nail salon. Loni figured out that she can average charging $30 per session. Each session she does will cost her $10 in supplies. Over the first year, she has projected $24,000 in rent and $50,000 in other expenses. The business cost her $15,000to start. How many sessions does she need to do in the first year to break even?
Loni needs to do 4,450 sessions in the first year to break even.
What is total revenue?
Total revenue is the total amount of money earned by a business from the sale of its products or services during a particular period of time.
To break even, the total revenue Loni makes should be equal to the total cost of running the nail salon. Let's calculate the total cost first:
Total Cost = Rent + Other expenses + Start-up cost + Cost of supplies per session x Number of sessions
Total Cost = $24,000 + $50,000 + $15,000 + $10 x Number of sessions
Total Cost = $89,000 + $10 x Number of sessions
Now, to break even, the total revenue should be equal to the total cost:
Total Revenue = Total Cost
$30 x Number of sessions = $89,000 + $10 x Number of sessions
$20 x Number of sessions = $89,000
Number of sessions = $89,000 / $20
Number of sessions = 4,450
Therefore, Loni needs to do 4,450 sessions in the first year to break even.
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the graph appears to show an increase in price of about $_____ over_______ year(s) or about $_______ per year . use graph to justify awnser
Answer:
Hey I would love to help you but can you just add the photo of the graph? That would help a lot!
Step-by-step explanation:
Fix \( G \) a group. For elements \( g, h \in G \) set \( [g, h]:=g h g^{-1} h^{-1} \) and set \[ [G, G]:=\left\{\left[g_{1}, h_{1}\right] \cdots\left[g_{s}, h_{s}\right]: g_{1}, \ldots, g_{s}, h_{1},
([G,G]\) is a group, which is the subgroup of \(G \times G\) generated by the set of all commutators \([g,h]\).
To fix \(G\) as a group and set \([g,h]:=g h g^{-1} h^{-1}\), and then set
\[[G,G] := \left\{\left[g_{1}, h_{1}\right] \cdots\left[g_{s}, h_{s}\right]: g_{1}, \ldots, g_{s}, h_{1}, \ldots, h_{s} \in G\right\}\), we can start by noticing that this is a subset of the Cartesian product of \(G\) with itself, and since \(G\) is a group, this subset must also be a group. Therefore, \([G,G]\) is a group, which is the subgroup of \(G \times G\) generated by the set of all commutators \([g,h]\).
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3. A school has to be guarded 24 hours a day. Four safety guards are ordered to split
each day's safety guard duty equally. How long will each guard spend on guard duty
in one day?
Answer:
6
Step-by-step explanation:
24h/6g= 4 hours per gaurd
Heather takes a 15 question exam. If she has an 87% chance to pick the correct answer, what is the probability of her getting exactly 12 out of 15 correct? Round your answer to two decimal places.
Provide your answer below:
The probability of Heather getting exactly 12 out of 15 correct can be found using the binomial probability formula:
P(X = 12) = (15 choose 12) * (0.87)^12 * (0.13)^3
= (15! / (12! * 3!)) * (0.87)^12 * (0.13)^3
= 455 * 0.087 * 0.0022
= 0.0828
Therefore, the probability of Heather getting exactly 12 out of 15 correct is 0.0828, or 8.28%.
To round this answer to two decimal places, we can use the following formula:
0.0828 * 100 = 8.28%
So the final answer is 8.28%.
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Which proportion must be true?
The correct proportion regarding the similar polygons is given as follows:
x/19.2 = 48/8.
What are similar triangles?Similar polygons are polygons that share these two features listed as follows:
Congruent angle measures.Proportional side lengths.For this problem, we have that the two rectangles are similar, as they both have the same angle measures, and the side lengths form a proportional relationship.
The proportional relationship for the equivalent side lengths of the rectangles is given as follows:
x/19.2 = 48/8.
Meaning that the fourth option is the correct option.
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A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has a uniform width, and the the area covered by the garden and the walkway is 192 square feet what is the width of the walkway?
The width of the walkway is approximately 0.343 feet or about 4.12 inches.
Let's suppose that the pathway is x feet wide.
The total length of the garden with the walkway is 8 + 2x feet (since there is a walkway on both sides of the garden), and the total width of the garden with the walkway is 12 + 2x feet.
The area covered by the garden and the walkway is the product of the length and width, which is:
[tex](8 + 2x) \times (12 + 2x) = 192[/tex]
Expanding this equation, we get:
[tex]96 + 32x + 16x + 4x^2 = 192\\4x^2 + 48x - 96 = 0[/tex]
Dividing both sides by 4, we get:
[tex]x^2 + 12x - 24 = 0[/tex]
Using the quadratic formula, we get:
x = (-12 ± [tex]\sqrt{ (12^2 - 41(-24))) / (2\times1}[/tex])
x = (-12 ±[tex]\sqrt{(288)) / 2}[/tex])
x = (-12 ± [tex]12\sqrt{(2)) / 2}[/tex]
x = -6 ± [tex]6\sqrt{(2)}[/tex]
Since the width of the walkway cannot be negative, we take the positive value of x:
[tex]x = -6 + 6\sqrt{(2)} \\x= 0.343 feet[/tex]
Therefore, the width of the walkway is approximately 0.343 feet or about 4.12 inches.
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If the prices of new cars increase an average of 4 times in one year, find the probability of:
(a) No price hikes in a randomly selected in one year and half. (3 marks)
(b) Four price hikes in 2 years. (2 marks)
(c) At most of one price hikes in one year.
The probability of at most one price hike in one year is 0 + 0 = 0.
No price hikes in a randomly selected one and a half year:
The probability of no price hikes in one year is 0, since the average is 4. Therefore, the probability of no price hikes in one and a half years is also 0.
Four price hikes in 2 years:
The average number of price hikes in one year is 4, so the average number of price hikes in 2 years is 8. The probability of exactly 4 price hikes in 2 years is therefore 0, since it is less than the average.
At most one price hike in one year:
The probability of at most one price hike in one year is the sum of the probabilities of 0 and 1 price hikes. The probability of 0 price hikes is 0, as mentioned before. The probability of 1 price hike is also 0, since it is less than the average of 4. Therefore, the probability of at most one price hike in one year is 0 + 0 = 0.
Overall, the probability of no price hikes in a randomly selected one and a half year, four price hikes in 2 years, and at most one price hike in one year are all 0, since they are all less than the average number of price hikes.
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A kite flying in the air has an 11-ft line attached to it. Its line pulled taut and casts a 10 -ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.
Answer: 11.1 ft
Step-by-step explanation:
I need help with this question can anyone tell me ?
The value of x is 9 and the sides are 28,8
what is a triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always is 180 degrees.
From the given figure ,
we can say that the two triangles are similar ,
21 / 3x+1 = 6 / x-1
21 ( x-1) = 6 (3x+1)
21x - 21 = 18x + 6
21x - 18x = 21 + 6
3x = 27
x = 9
3x + 1 = 3* 9 + 1 = 28
x-1 = 9-1 = 8
Therefore, The value of x is 9 and the sides are 28,8
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PLEASE HELP!!! 25 POINTSS
The radius of the circle is approximately 5.861 cm, and the area of the circle is approximately 107.76 cm².
How are circles connected to regular polygons and what are they?A regular polygon is one that has an equal number of sides and angles. Each vertex of a regular polygon is located on a shared circle known as the circumscribed circle or circumcircle. A circumscribed circle or circumcircle of the polygon, on the other hand, is any circle that goes through every vertex of the polygon. The circumradius of the polygon is the circumference of the circle. The circumradius is the distance from the centre to any vertex of a regular polygon with n sides, and the circumcircle's centre coincides with the polygon's centre.
Given that, the hexagon is regular, angle AOB is 60 degrees.
The side AB is given as 8cm.
Using trigonometric functions we have:
h = r * cos(30 degrees) = (√(3)/2) * r.
Now using the Pythagoras theorem:
OB² = AB² - h².
Substituting the value of h:
OB² = 8² - (√(3)/2)² * r².
OB² = 64 - (3/4) * r².
OB = √(64 - (3/4) * r²).
Here, OB is equal to the radius of the circle.
r = √(64 - (3/4) * r²) = 5.861 cm.
The area of the circle, we can use the formula:
Area = π * r²
Hence, the radius of the circle is approximately 5.861 cm, and the area of the circle is approximately 107.76 cm².
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what is 10+28 divided by 7 (10-9+6)
Answer:
To simplify this expression, we first need to evaluate the expression inside the parentheses:
10 - 9 + 6 = 7
Now we can substitute this value back into the original expression:
10 + 28 ÷ 7 (7) = 10 + 4(7) (since 28 ÷ 7 = 4)
= 10 + 28
= 38
Therefore, 10 + 28 divided by 7 (10-9+6) equals 38.
Use the Law of Sines to solve the triangle. Round your answers
to two decimal places.
B = 11° 30', a =
3.7, b = 6.5
The measures of the angles in the triangle are A = 6.17°,B = 11.50°, C = 162.33° and that's the solution to the triangle using the Law of Sines.
To solve the triangle using the Law of Sines, we can use the following formula:
(a/sin A) = (b/sin B) = (c/sin C)
First, let's convert the given angle B from degrees and minutes to decimal form:
B = 11° 30' = 11.5°
Next, we can plug in the given values into the formula and solve for the unknowns:
(3.7/sin A) = (6.5/sin 11.5°)
Cross-multiplying and rearranging gives us:
sin A = (3.7 * sin 11.5°) / 6.5
Using a calculator, we can find the value of sin A:
sin A = 0.1076
Now, we can use the inverse sine function to find the measure of angle A:
A = sin^-1(0.1076) = 6.17°
Finally, we can use the fact that the sum of the angles in a triangle is 180° to find the measure of angle C:
C = 180° - A - B = 180° - 6.17° - 11.5° = 162.33°
So, the measures of the angles in the triangle are:
A = 6.17°
B = 11.5°
C = 162.33°
Round your answers to two decimal places, we have:
A = 6.17°
B = 11.50°
C = 162.33°
And that's the solution to the triangle using the Law of Sines.
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Please Help Asap! I need to find the answer! Please!
Answer for questions
The answers are explained in the solution below.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number.
Given are some operation based on multiplication,
1) 26 x 3/4 = 78/4
2) 9 x 7/10 = 63/10
3) 2/5 x 32 = 64/5
4) 1/8 x 400 = 400/8 = 50
5) 15 x 4/5 = 60/5 = 12
6) 3/11 x 66 = 198/66 = 18
7) 45 x 3/8 = 135/8
8) 3/10 x 12 = 36/10 = 18/5
9) 55 x 2/5 = 110/5 = 22
10) 5/6 x 40 = 200/6 = 100/3
11) 7/9 x 54 = 378/54 = 7
12) 600 x 5/12 = 3000/12
= 250
13) 2/3 x 21 = 42/3 = 14
14) 500 x 3/5 = 1500/5 = 300
15) 72 x 5/8 = 360/8 = 45
16) 2/9 x 35 = 70/9
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OAB is a sector of a circle as shown below.
Calculate the area of the shaded region.
Give your answer in mm² to 1 d.p.
THIS IS URGENT
Answer:
attached is the answer
Step-by-step explanation:
HI
THIS IS THE ANSWER
I HOPE IT HELPS
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Using the side lengths of PQR and STU, which angle has a cosine ratio of 15/17
∠T has a cosine ratio of 15/17.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
PQR and STU are the similar triangles.
With the help of cosine function we can find the measure of T.
Cosine = Adjacent side/ hypotenuse
The adjacent side is thirty and hypotenuse is thirty four.
Plug in these values in the above formula.
∠T=30/34
Divide numerator and denominator by 2
∠T=15/17
Hence, ∠T has a cosine ratio of 15/17.
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Two customers paid the same amount using Uber to travel to work. Andy traveled 10 miles and paid a $12 tip to his drive. Sammy traveled 15 miles and paid a $9 tip to his driver What is the cost per mile to ride the Uber.
If Andy traveled 10 miles and paid a $12 tip to his drive. Sammy traveled 15 miles and paid a $9 tip to his driver. the cost per mile to ride the Uber is $0.60.
How to find the cost per mile?Let the cost per mile to ride the Uber be "x".
Then, Andy paid a total of 10x + 12 dollars for his 10-mile trip.
Similarly, Sammy paid a total of 15x + 9 dollars for his 15-mile trip.
Since both customers paid the same amount, we can set their total costs equal to each other and solve for "x":
10x + 12 = 15x + 9
Subtracting 10x and 9 from both sides:
3 = 5x
Dividing by 5:
x = 0.6
Therefore, the cost per mile to ride the Uber is $0.60.
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PLEASE SOLVE FOR ME NEED ANSWER ASAP PLEASE
Answer:
Step-by-step explanation:
9/10
10 percent of what number is 13?
Answer:
tgv7cutc
Step-by-step explanation:
txr. thh5d tdhg6643gchctc
On April 26th, Laura decided to buy her brother a computer for his birthday on May 25th. The computer costs $986, but during a store's pre-memorial day sale the price drops $14 each day. Laura has $427. She earns $42 babysitting each week and was paid on April 25th. Will Laura have enough money to buy the computer before her brother's birthday. Explain your answer
Yes, Laura will have enough money to buy the computer before her brother's birthday.
What is cost?Cost is the total amount of money, time, and resources required to produce or acquire a product, service, or outcome. It involves the initial outlay of money, time, and resources necessary to produce or acquire something. In addition, it involves any ongoing expenses required to maintain or improve that something. Cost can be a one-time purchase, a long-term investment, or a recurring expense.
At the time of her purchase, Laura had $427 which is $59 short of the $486 computer. She earns $42 each week from babysitting, so if she saves every penny she earns for the next 7 weeks she will have enough money to buy the computer. She will have $294 after the first week of saving, $336 after the second week, $378 after the third week, $420 after the fourth week, $462 after the fifth week, $504 after the sixth week, and $546 after the seventh week. The $546 is more than enough money to purchase the computer before her brother's birthday.
Additionally, the computer's price drops $14 each day, so if Laura waits an extra week to purchase the computer, it will cost her even less. She will have $588 after the eighth week and would only need to spend $400 to purchase the computer.
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Question 1 (1 point
Find the value of s. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
FG L OP RS 1 00, F5=2885-37, OP-13
R
Q
The value of x in the chord is 4.8 units
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
Next, we calculate the radius using each chord using the Pythagoras theorem
Using the above as a guide, we have the following:
r² = x² + (37/2)²
r² = 13² + (28/2)²
By substitution, we have
x² + (37/2)² = 13² + (28/2)²
So, we have
x² = -(37/2)² + 13² + (28/2)²
Evaluate
x² = 22.75
Take the square root
x = 4.8
Hence, the value of x is 4.8 units
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