Answer:
6
Step-by-step explanation:
In the spring, the owner of a sporting goods store decreases the price of winter gloves from $10.00 to $8.00. She increases the price of swimming goggles from $8.00 to $10.00.Use math to show if the percent of decrease and the percent of increase are the same.
Hello! We can solve this exercise using the Rule of Three:
Spring: $10.00 to $8.00.Let's consider $10.00 as 100%, and 8 as x%:
\(\begin{gathered} \frac{10.00}{8.00}=\frac{100\text{ per cent}}{x\text{ per cent}} \\ \\ \text{multiplying accros:} \\ 10.00\cdot x=8.00\cdot100 \\ 10x=800 \\ x=\frac{800}{10} \\ x=80\text{ per cent} \end{gathered}\)So, to find the percent of decrease we have to subtract the new value from the old value. Look:
100% - 80% = 20% is the percentage of decrease
$8.00 to $10.00.Now, the other part, solving in a similar way:
\(\begin{gathered} \frac{8.00}{10.00}=\frac{100\text{ per cent}}{x\text{ per cent}} \\ \\ 8\cdot x=10\cdot100 \\ 8x=1000 \\ x=\frac{1000}{8} \\ x=125\text{ per cent} \end{gathered}\)125% - 100% = 25% is the percentage of increase
So, 20% of decrease is different from 25% of increase.
A circle of radius 16 units is divided into 8 congruent slices.
What is the arc length of each slice?
4π units
3π units
2π units
π units
Answer:
4π
Step-by-step explanation:
Circumference = π X D (D = diameter = 2 X radius).
Diameter = 32.
Circumference = π (32) = 32π.
Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.
Is the inverse of the following conditional true?
If t<5, then t>6.
The inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6" is not always true but true for some values of t.
What is a function?An expression, rule, or law that defines a relationship between one variable and another variable.
Let's first consider the original statement: "If t<5, then t>6."
This statement is saying that if t is less than 5, then it must be greater than 6, which is impossible since no number can be less than 5 and greater than 6 at the same time.
So the original statement is always false, no matter what value of t we choose.
So, the inverse of "If t<5, then t>6" is "If t≥5, then t≤6".
This statement is saying that if t is greater than or equal to 5, then it must be less than or equal to 6.
This statement is true for any value of t that is greater than or equal to 5 and less than or equal to 6.
Hence, the inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6" is not always true but true for some values of t.
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If p =(-4,6), find the image of p under the following rotation. 90 counterclockwise about the origin
The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).
To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:
(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)
where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.
In this case, θ = 90 degrees, so we have:
(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)
= (-6, -4)
Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).
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Alice solves every puzzle with probability 0.6 , and Bob, with probability 0.5 . They are given 7 puzzles and each chooses 5 out of the 7 puzzles randomly and solves them independently. A puzzle is considered solved if at least one of them solves it. What is the probability that all the 7 puzzles happen to be solved by at least one of them
Answer:
0.021943
Step-by-step explanation:
Alice solves every puzzle with a probability of 0.6
Bob solves every puzzle with a probability of 0.5
Number of puzzles given = 7
The probability of a puzzle been solved by either Alice or Bob
P = P( A U B ) = P( A ) + P( B ) - P( A n B )
= 0.6 + 0.5 - ( 0.6 * 0.5 ) = 0.8
probability of all 7 puzzles solved = (P( A ))^2 * ( P )^3 * (p(B))^2
= ( 0.6 )^2 * (0.8)^3 * (0.5)^2 = 0.04608
Finally determine the P ( choosing 5 out of 7 for both such that all the 7 are chosen )
attached below is the remaining part of the solution
How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked? Translate into expression, I will award brainiest!
Answer:
Total distance traveled= 21h miles
Step-by-step explanation:
You biked at 10 mph for h hours
Speed= 10 mpg
Time = h hours
Distance covered= speed*time
Distance covered= 10h miles
walked at 3mph for twice as long as I biked,
Speed= 3 mph
Time= twice as long as biked
Time= 2(h) hours
Distance= 2h*3
Distance= 6h miles
ran at 10mph for one quarter as long as I walked
Speed= 10 mph
Time= 1/4 of(2h)
Time= 1/2h hours
Distance= 1/2h*10
Distance= 5h miles
Total distance traveled
= 10h miles +6h miles+ 5h miles
Total distance traveled= 21h miles
What is the answer to this question and how to solve?
Answer:
Line ZL and line LZ.
Step-by-step explanation:
Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.
Brainliest please.
Answer:
Step-by-step explanation
Oh
a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
If x=yand yz, which statement must be true
On the given statement, the transitive property is applicable. Thus option A is correct option.
According to the statement
we have to find that the which statements are true in the form of given statement.
So, For this purpose, we know that the
A property is called transitive property, if x, y and z are the three quantities, and if x is related to y by some rule, and y is related to z by the same rule, then we can say x is related to z by the same rule.
And the given equation is
x=y and y = z
from this it is clear that the x= z.
then transitive property is perfect for this.
So, On the given statement, the transitive property is applicable. Thus option A is correct option.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
If x=y and y = z, which statement must be true
A. Transitive property applicable here
B . Associative property applicable here
C . Distributive property applicable here
D . Identity property applicable here
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write the equation of the line in standard form passing through (2,-4) with a slope of -7
Answer:
7x+Y=-2
Step-by-step explanation:
(y-y1)=m(x-x1)
(Y+4)=-7(x-2)
Y+4=-7x+2
Y+7x=2-4
7x+Y=-2
PLEASE HELP! I NEED ANSWERS! 8-11 FIND THE RELATIONSHIP
Answer:
8. complementary 9. linear pair 10. adjacent 11. vertical
Step-by-step explanation:
Find the slope given the following two points: (16,3) and (14, -19)
Answer:
the slope m=11
Step-by-step explanation:
(To find the slope use the equation m=\(\frac{y2-y1}{x2-x1}\))
(16,3), where 16=x1 and 3=y1
(14,-19), where 14=x2 and -19=y2
m=\(\frac{y2-y1}{x2-x1}\)
=\(\frac{-19-3}{14-16}\)
=\(\frac{-22}{-2}\)
(simplify)
=11
the general solution of sinx + cosx =√2 is..??
The answer is A. x= \(\pi\)/4 +2\(\pi\)n
Answer:
the general solution has answer
2nπ+π/4
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
A number that is a whole number but not an integer?
Answer:
-5 is the answer
Hope it will be helpfull....
(a) 12 is 15% of what?
what is the answer to 5x-7=-10x+8
Answer:
x=1
Step-by-step explanation:
Subtract** the 8 to both sides and subtracting 5x from both sides. And then dividing by 15 from both sides.
When x= -1, the value of y is...
Y=5x+10 parallel and goes through in the point 4,10
Y=6∝-14
Step-by-step explanation:y=6x-14
Work:
Slope- 6
y-10=6(x-4)
y-10=6x-24
y=6x-14
HOPE IT HELPS YOU!!!!use this photo to get the question and answer it in the space given
Answer:
The answer is c or a=c
Step-by-step explanation:
a=c is not true based on the number line because clearly, c is closer to 0 than a, so it cannot be the same distance as a and c.
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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(x+1) (x-5)=16 formula cuadratica brainly
The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7
From the question, we have the following parameters that can be used in our computation:
(x + 1) (x - 5) = 16
The above expression is the product of two factors
(x + 1) and (x - 5)
And the result is 16
Express 16 as 8 * 2
So, we have
(x + 1) (x - 5) = 8 * 2
By comparison, we have
x + 1 = 8 and x - 5 = 2
When evaluated, we have
x = 7 and x = 7
This means that the value of x in the equation is 7
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solve for x,y answer
Step-by-step explanation:
here it is earning more money to the doctor said the
Solve the equation for solutions over the interval [0°, 360°). 7tanθ−7/3cotθ=0
Answer:
Step-by-step explanation:
\(7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ\)
solution set is {30,150,210,330}
in a single power what is the answer to the following:
5 to the power of 3 divided by 5 ?
3 to the power of 6 divided by 3 ?
Answer:
a-25
b-243
5^3 = 125/3 = 25
3^6 = 729/3 = 243
(PLEASE ANSWER ASAP)
Answer:
alternate interior angles are congruent
HELP FAST PLEASE!!!!!!!!!!!!!!!!!!!!
Answer: First row: 6,12,15
Second row: 15
Step-by-step explanation:
For first row: 3*1, 3*2, 3*3, 3*4, 3*5
Second row: 5*1, 5*2, 5*3, 5*4, 5*5
A survey of 518 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
175 watched TV
181 hung out with friends
39 watched TV and ate pizza, but did not hang out with friends
26 watched TV and hung out with friends, but did not eat pizza
39 hung out with friends and ate pizza, but did not watch TV
42 watched TV, hung out with friends, and ate pizza
66 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
There are 284 adults who ate pizza.
What are sets?The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.
Given A survey of 518 adults,
let T denote TV, H for out with friends, and P for pizza
and given, n(T ∪ H ∪ P) = 518
n(T) = 175, n(H) = 181
n(P) = to find
TP = 39, TH = 26
FP = 39, n(TPH) = 42
n(TP) = 39 + 42 = 81
n(TH) = 26 + 42 = 68
n(HP) = 39 + 42 = 81
using the formula of triple intersection,
n(T U H U P) = n(T) + n(H) + n(P) - n(TH) - n(TP) - n(HP) + n(TPH).
518 - 66 = 175 + 181 + n(P) - 81 - 68 - 81 + 42
n(P) = 452 - 168
n(P) = 284
Hence 284 people ate only pizza.
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Keegan is determining whether the triangle with vertices L(-1, 3), M(5, 5) and N(7, -1) is a right triangle. Keegan finds the slopes as shown and concludes that the triangle is not a right triangle because the product is not -1. What is his error and what should he do to correct it?
(added an image)
will mark brainiliest
Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.
To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.
If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.
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The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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