When you decrease £262 by 39% using the multiplier method, you get £159.82 as the result.
To decrease £262 by 39% using the multiplier method, follow these steps:
Convert the percentage decrease to a decimal:
39% = 0.39
Calculate the multiplier (the factor by which you'll multiply the original amount to decrease it):
Multiplier = 1 - Percentage Decrease (as a decimal)
Multiplier = 1 - 0.39
Multiplier = 0.61
Multiply the original amount by the multiplier to find the decreased amount:
Decreased Amount = Original Amount × Multiplier
Decreased Amount = £262 × 0.61
Now, calculate the decreased amount:
Decreased Amount = £159.82
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The length of a rectangle is three times the width. What is the perimeter of the rectangle if the width is 17 inches?
51 inches
136 inches
204 inches
68 inches
Answer:
136 Inches
Step-by-step explanation:
One side will be x. The other will be 3x.
x=17
3x=51
It is asking for 8x
8x=136
Answer:
136 inches
Step-by-step explanation:
The perimeter of a rectangle can be found using:
p=l+l+w+w
We know the width is 17, and the length is 3 times the width, which is 17
p=(17*3)+(17*3)+17+17
p=51+51+17+17
p=136
So, the perimeter is 136 inches
A DVD has a diameter of 34 centimeters. What is the area of the DVD? Round your answer to the nearest
hundredth. Use 3.14 for it.
The area of the DVD is about
cm
Answer:
907.46cm
Step-by-step explanation:
Area of Cirlce = πr^2
R= 17
R^2= 289
289 x 3.14 = 907.46
907.46cm
Answer:
Area of the circle = [tex]907.46\;cm^2[/tex]
Step-by-step explanation:
Diameter of the DVD = [tex]34\;cm[/tex]
[tex]Radius=\dfrac{34}{2}=17\;cm[/tex]
Area of the circle= [tex]\pi \times r^2[/tex]
As,
[tex]\pi =\dfrac{22}{7}=3.14[/tex]
Area is:
[tex]=3.14\times 17\times 17\\\\=3.14\times 289\\\\=907.46\;cm^2[/tex]
Area of the circle is: [tex]907.46\;cm^2[/tex]
Two friends shop for fresh fruit. Elana buys a watermelon for $8.75 and 5 pounds of cherries. Taniy buys a pineapple for $4.25 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Elana spent.
Answer: 4.50 + p
Step-by-step explanation: For this problem we will write and simplify an expression to represent how much more Elana spent.
8.75 + 5p - (4.25 + 4p) ---Distribute the negative sign to the numbers inside the parentheses.
8.75 + 5p - 4.25 - 4p ---Combine like terms
8.75 - 4.25 + 5p - 4p
4.50 + p
So, the expression 4.50 + p represents how much more Elana spent.
Final answer:
Elana spent $4.50 plus the price of 1 pound of cherries more than Taniy. The expression representing this difference is simplified to $4.50 + p.
Explanation:
To find out how much more Elana spent than Taniy, we'll write an expression representing the total amount each person spent, using p as the variable for the price per pound of cherries. Elana's total spending is the cost of the watermelon plus the cost of cherries, expressed as 8.75 + 5p. Taniy's total spending is the cost of the pineapple plus the cost of cherries, expressed as 4.25 + 4p. To find the difference in their spending, we subtract Taniy's total from Elana's total.
The expression representing how much more Elana spent is:
(8.75 + 5p) - (4.25 + 4p)
Now we simplify the expression:
8.75 + 5p - 4.25 - 4p which simplifies to 4.50 + p.
Therefore, Elana spent $4.50 plus 1 pound of cherries more than Taniy.
what is z=77674844/085447
Answer:
909.041207??
Step-by-step explanation:
Heather also buys 12 patio lights for $63. She estimates the cost of each light to be about $5.
She then calculates the actual cost of each light to be $2.40. Use the drop-down
boxes to explain whether her calculation is reasonable
Answer: yes her calculations were reasonable because : 63/12=5.25
Step-by-step explanation:
Final answer:
Heather's estimation that each light costs about $5 is closer to the actual cost of $5.25 per light. Her calculated cost of $2.40 per light is not reasonable as it significantly underestimates the actual cost.
Explanation:
The question is asking whether Heather's calculation for the actual cost of each patio light is reasonable. Initially, Heather estimated each light to cost about $5, but after calculation, she found the cost to be $2.40. To verify this, we can divide the total cost by the number of lights. So, the calculation is as follows:
Total cost for 12 lights = $63
Actual cost per light = Total cost / Number of lights
Actual cost per light = $63 / 12
Actual cost per light = $5.25
Based on this calculation, Heather's estimate of $5 per light was closer to the actual cost, which is $5.25 per light. Therefore, her calculation of $2.40 per light is not reasonable as it is quite far from the actual calculated cost.
• A discount movie pass costs $14. With the
pass, movie tickets cost $6 each. Fern
spent a total of $68 on the pass and movie
tickets. How many movies did he see?
Answer:
He saw 9 movies :0
Step-by-step explanation:
First, you take the total cost and subtract the one time cost from it ($68 - $14 = $54) Next, you take the $54 and divide it buy the cost of dollars per movie. ($54/$6 = 9)
So, 9 is your answer.
Hope this helps!!
Final answer:
To find the number of movies Fern saw, subtract the cost of the discount movie pass from the total amount she spent and then divide the result by the cost of each movie ticket. Fern saw 9 movies.
Explanation:
To find the number of movies Fern saw, we need to subtract the cost of the discount movie pass from the total amount she spent and then divide the result by the cost of each movie ticket.
The cost of the discount movie pass is $14, and Fern spent a total of $68. So, $68 - $14 = $54 is the amount she spent on movie tickets.
Since each movie ticket costs $6, we divide the amount she spent on movie tickets by the cost of each movie ticket: $54 ÷ $6 = 9.
Therefore, Fern saw 9 movies.
After leaving camp for a three-day journey into the frozen tundra, Daniela has just returned to camp. The
three days of her journey can be described by displacement (distance and direction) vectors d , d), and dz.
where each vector indicates Daniela's displacement from the start of her day to the end of her day.
di = 8i +3
d, is not given
az = i +47
(Distances are given in kilometers, km.)
What distance did Daniela travel on day two?
kilometers
(Round your final answer to the nearest tenth.)
In what direction did Daniela travel on day two? Assume 0° is the rightward direction.
(Round your final answer to the nearest degree. Your answer should be between 0 and 360°.)
Answer:
a) 8.7 km
b) 187.6°
Step-by-step explanation:
Given
Travel vectors (distance)∠(direction) ...
d₁ = 8∠3°d₂ = unknownd₃ = 1∠47°total travel was a round tripFind
(Rounded to the nearest tenth ...)
a) |d₂|
b) ∠d₂
Solution
In order for the sum of the three travel vectors to represent a round trip, their sum must be zero. That is, the value of d₂ must be the opposite of the sum of the other two vectors. A vector calculator can find the desired value easily. Here, we will show the calculation using the law of cosines and the law of sines.
__
a) A diagram can be helpful. Since we want to find the opposite of the sum of the given vectors, we can start by drawing their sum. In our diagram, d₁ is segment AB, and d₃ is segment BC. Their sum is the segment AC.
The internal angle ABC is the supplement of the difference of the angles for d₁ and d₃, so is 180° -(47° -3°) = 136°. Then the law of cosines gives length AC as ...
AC² = AB² +BC² -2AB·BC·cos(B)
AC² = 8² +1² -2·8·1·cos(136°) = 65 -16cos(136°) ≈ 76.5094
AC ≈ √76.5094 ≈ 8.747
The distance traveled on day 2 is about 8.7 km.
__
b) Given the side lengths of a triangle and one angle, the law of sines can be used to find the other angles. Here, it is convenient to find the internal angle at A. The law of sines tells us ...
sin(A)/BC = sin(B)/AC
sin(A) = BC/AC·sin(B)
A = arcsin(BC/AC·sin(B)) = arcsin(1/8.747·sin(136°)) ≈ 4.555°
The direction angle from C to A will be the sum of the 3° direction angle of AB and the internal triangle angle A we just found, added to 180°. That sum is ...
∠CA = 180° +3° +4.6° = 187.6°
∠d₂ = 187.6°
Answer:
Distance traveled 8.6 kilometers on day two
Daniela traveled in a direcrion of 234degrees on day two
Step-by-step explanation:
I had the same exact question and found the answers after having it incorrect
Please help solve this system of inequalities:
{2x-12>0
{3x<9
Thank you
Answer: 6,3
Step-by-step explanation: 3/3 and then 9/3=3 • 0+12=12, 12/2=6,
Please give brainliest
The system of inequalities consists of x > 6 and x < 3, which have no overlapping solution. No number can satisfy both conditions simultaneously; hence, there is no solution to the system.
To solve the given system of inequalities, let's solve each inequality separately:
For the first inequality 2x - 12 > 0, we add 12 to both sides to get:
2x > 12
Now, we divide both sides by 2:
x > 6
This inequality means that x must be greater than 6.
For the second inequality 3x < 9, we divide both sides by 3:
x < 3
This tells us that x must be less than 3.
If we look at both solutions, x > 6 and x < 3, there is no overlap between these two sets of numbers.
Therefore, there is no solution to the system, since no number can be both greater than 6 and less than 3 at the same time.
Samantha evaluates the expression -5.3 + 7.9 and gets an answer of 2.4
Answer:
Step-by-step explanation:
To the evaluate -5.3+7.9
We get
2.6
Therefore the error
=2.6-2.4
=0.2
An equation whose variables are polar coordinates is called a(n) ____ equation
Factor the polynomial by its greatest common monomial factor.
20y^6-15y^4+40y^2=20y
6
−15y
4
+40y
2
=20, y, start superscript, 6, end superscript, minus, 15, y, start superscript, 4, end superscript, plus, 40, y, squared, equals
Answer:
[tex]5 {y}^{2} (4 {y}^{4} - 3 {y}^{2} + 8)[/tex]
Step-by-step explanation:
We want to factor the common monomial out of :
[tex]20 {y}^{6} - 15 {y}^{4} + 40 {y}^{2} [/tex]
The greatest common monomial fact is
[tex]5 {y}^{2} [/tex]
We factor to get:
[tex]5 {y}^{2} (4 {y}^{4} - 3 {y}^{2} + 8)[/tex]
The expression in the parenthesis has no common factor again since we factored the greatest common factor.
The greatest common factor of 20y^620y
6
20, y, start superscript, 6, end superscript, -15y^4−15y
4
minus, 15, y, start superscript, 4, end superscript, and 40y^240y
2
40, y, squared is 5y^25y
2
5, y, squared.
[Show me how to find the greatest common factor.]
Now we need to factor 5y^25y
2
5, y, squared out of 20y^6-15y^4+40y^220y
6
−15y
4
+40y
2
20, y, start superscript, 6, end superscript, minus, 15, y, start superscript, 4, end superscript, plus, 40, y, squared.
Hint #22 / 3
\begin{aligned} &\phantom{=}20y^6-15y^4+40y^2 \\\\ &=5y^2(4y^4)+5y^2(-3y^2)+5y^2(8) \\\\ &=5y^2\left(4y^4-3y^2+8\right) \end{aligned}
=20y
6
−15y
4
+40y
2
=5y
2
(4y
4
)+5y
2
(−3y
2
)+5y
2
(8)
=5y
2
(4y
4
−3y
2
+8)
Hint #33 / 3
In conclusion,
20y^6-15y^4+40y^2=5y^2\left(4y^4-3y^2+8\right)20y
6
−15y
4
+40y
2
=5y
2
(4y
4
−3y
2
+8)20, y, start superscript, 6, end superscript, minus, 15, y, start superscript, 4, end superscript, plus, 40, y, squared, equals, 5, y, squared, left parenthesis, 4, y, start superscript, 4, end superscript, minus, 3, y, squared, plus, 8, right parenthesis
In the triangle shown below, what is the approximate value of x?
O
A. 24.25 units
O
B. 14 units
O
C. 21 units
O
D. 31.30 units
Answer:
24.25 units for a.pe.x if the triangle has the sides x,14, and 28
Step-by-step explanation:
The value of the labeled side , x is 24.25 units.
From pythagoras :
Adjacent side = √hypotenus² - Opposite²From the question given:
hypotenus = 28Opposite = 14Now we have ;
Adjacent = √28² - 14²Adjacent = √(784 - 196)
Adjacent = √588
Adjacent = 24.248
Hence, the value of x = 24.25 units.
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Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 8.
Answer:
7/12.
Step-by-step explanation:
The total possible outcomes = 6*6 = 36.
Possible outcomes for a total 8 or greater are :
2,6 6,2 3,5 5,3 3,6 6,3 4,4 4,5 5,4 4,6 6,4 5,5, 5,6 6,5 6,6 = 15.
So the number of outcomes for a sum < 8 = 36 - 15 = 21.
Answer is 21/36 = 7/12.
Six quarts of milk weigh 13 pounds .write three different proportions you could use to fin the weight of 10 quarts of milk
Answer:
1. 130/6
2. 65/3
3. 260/12
Step-by-step explanation:
The first thing is to calculate the weight of 10 quarts of milk, like this:
(13 pounds / 6 quarts) * 10 quarts = 130/6 pounds
The three fractions could be:
1. 130/6 pounds weigh 10 quarts of milk.
2. 65/3 pounds weigh 10 quarts of milk.
3. 260/12 pounds weigh 10 quarts of milk.
Simplify log5 + 1/2 log x ? First answered will be the brainiest
Elsa started eating lunch at 11:25 and finished at 11:45. Explain how to find
how long it took Elsa to eat lunch.
Answer:
20
Step-by-step explanation:
because they end with same hour just subtract 25 from 45
45 -25= 20
please help for brainliest
Answer:
525 people
Step-by-step explanation:
3000/200=15
You multiply 15 by 35
This equals 525.
Answer:
525
Step-by-step explanation:
heres why
because 35/200 is a fraction that can be used in decimal form to multipy with 3000 to find the total ammount of people that said that this was their first concert
the decimal used is .175 so multply that with 3000 and you get 525
If brainiest is earned its greatly Appreciated
30 points for answering
Answer:
1) d
2) f
3) a
Step-by-step explanation:
1) 6² = 36 cm²
2) ½ (pi × (6/2)²)
= 14.14 cm²
3) 36 + 4(14.14)
= 92.56 cm³
The diameter of a penny is 19.05 mm and the thickness is 1.52 mm what is the approximate volume of the role of Penny to the nearest 10th
The volume of a cylinder is the area of the base circle times the height.
The area of a circle is [tex]\pi r^2[/tex]. Since the diameter is 19.05, the radius will be half that diameter:
[tex]r=\dfrac{d}{2}=\dfrac{19.05}{2}=9.525[/tex]
So, the base area is
[tex]A=\pi(9.525)^2[/tex]
Multiply this by the thickness and you'll get the volume.
Final answer:
The approximate volume of a roll of pennies can be calculated using the volume formula for a cylinder, considering the diameter and thickness of a penny, converting measurements to the same units, and then multiplying by the number of pennies in a roll.
Explanation:
To solve for the approximate volume of a roll of pennies, we can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height of the cylinder. In this case, the diameter of a penny is given as 19.05 mm, which means the radius is half of that, 9.525 mm or 0.9525 cm. The thickness of each penny is 1.52 mm or 0.152 cm. If we assume a roll of 50 pennies, the height of the roll would be 50 times the thickness of one penny.
First, we convert the radius into centimeters by dividing by 10: 0.9525 cm. Then we use the formula to calculate the volume: V = π * (0.9525 cm)^2 * (0.152 cm * 50), which provides the volume of the roll of pennies. As the question asks to approximate the volume to the nearest tenth, we can perform this calculation and round the result accordingly.
Volume calculation and unit conversion are crucial elements in this type of problem. Moreover, the accuracy of the estimation is important, which should be within an acceptable range like 5%.
I need help again lol....
A.) SSS Postulate
B.) ASA Postulate
C.) AAS Theorem
D.) SAS Postulate
Check out the diagram below. Note how for the left triangle, the side ZW is not between the marked angles V and W. So we do not use ASA and instead go with AAS. The order matters. If for instance, we knew that VW = WY, then we would go with ASA.
Grade point averages can take on any numeric values between 0 and 4 . They are an example of a what variable
continuous i believe.
Suppose that an individual has a body fat percentage of 17.8% and weighs 152
pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer: The individual has 27.056 pounds of body fat to be exact, and rounded to the nearest tenth is 27.1 lbs of body fat.
a figure has been dilated by a scale factor of 2. which transformation could be used to prove the figures are similar using the AA similarity postulate ?
Answer:
translation maybe
Please help —> What is the value of X?
What is the solution set of {x | x > -5} u {x | x < 5}?
A) all numbers except -5 and 5
B) the numbers between -5 and 5
C) the empty set
D) all real numbers
Answer:
The answer is D
Step-by-step explanation:
The solution set of {x | x > -5} u {x | x < 5} is given by all real numbers. so option D is correct.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality. A set of such values is called a solution set to the considered equation or inequality.
We need to find the solution set of the following inequalities:
A set of {x | x > -5} u {x | x < 5} has the solution of all values of x greater than -5.
The solution is all values of x greater than -5.
This is the union of both the inequalities, therefore all the real numbers will justify the inequalities.
Then, the solution set of {x | x > -5} u {x | x < 5} is given by all real numbers. so option D is correct.
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what is the answer to this?
Answer:
s = -18
b is correct option
Step-by-step explanation:
[tex]\frac{4}{s} =\frac{-2}{9}[/tex]
By cross multiplication
4×9 = -2×s
0r
-2×s = 4×9
s = 36 ÷ -2
s = -18
Can anyone answer this question for me?
Answer:
The answer is about 1.732, the exact form being [tex]\sqrt{3}[/tex].
Step-by-step explanation:
The square root of 12 is 3.4641. You then divide this by 2 and you get approximately 1.732. This in the exact form is [tex]\sqrt{3}[/tex].
Lines AB and CD are parallel. If 6 measures (3x - 34)°, and 8 measures 145°, what is the value of x?
Answer:
x=23
Step-by-step explanation:
180-145= 35 so you have to set the equation to 35. 3x-34=35. add 34 to each side. now you have 3x=69. divide 3 on each side and you get x=23
What’s the median of 2, 4, 5, 7 ,7 , 15
Answer:
6
Step-by-step explanation:
the middle number of the given list
Answer:
median = 6
Step-by-step explanation:
5, 7 are in the middle.
You add these and divide by 2 to get the median.
Suppose 80% of people can swim. Suppose 70% of people can
whistle. Suppose 55% of people can do both. What percentage of people
can swim or whistle?
Answer:
95%
Step-by-step explanation:
Let the proportion who can swim be denoted by P(S) while the proportion that can whistle be denoted by P(W)
The proportion that can swim and whistle will be P(S and W)
The proportion that can swim or whistle will be P(S or W)
To get the proportion that can swim or whistle will be P(S or W), we use
P(S or W)=P(S)+P(W)-P(S and W)
Given that P(W) is 70%, P(S) is 80% and P(S andW) is 55% then
P(S or W)=80%+70%-55%=95%