Answer:
9x + 4y < 110
Step-by-step explanation:
This inequality works because its the cost of hammers ($9) multiplied by how many hammers are bought (x) plus the cost of wrenches ($4) multiplied by how many wrenches are bought (y). The total cost has to be less than 110.
Find an equation for the line below
Find the area of the shaded regions.
Answer:
\(A = A_c-A_t=4\pi -8=4.5664cm^2\)
Step-by-step explanation:
The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.
The area of the right triangle can be calculated as:
\(A_t=\frac{b*h}{2} =\frac{LM*MN}{2}\)
Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:
\(A_t=\frac{4*4}{2}=8\)
The diameter of the circle can be calculated using the Pythagorean theorem as:
\(D=\sqrt{(LM)^2+(MN)^2} =\sqrt{4^2+4^4}=4\sqrt{2}\)
So, the radius is \(r=2\sqrt{2}\)
Finally, the area of the semicircle is:
\(A_c=\frac{\pi*r^2 }{2}=\frac{\pi*(2\sqrt{2})^2 }{2}=4\pi\)
So, the area of the shaded region is:
\(A = A_c-A_t=4\pi -8=4.5664cm^2\)
Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she cleans a pool. Which equation can be used to determine the profit, y, Michele earns after she cleans x pools?
y=40x- 85
y=40x+ 85
y=85x- 40
y=85x+ 40
Answer:
Option A : y = 40x - 85 is the correct answer.
Step-by-step explanation:
Given that:
Cost of purchasing supplies = $85
Cost charged for cleaning a pool = $40
Let,
x be the number of pools cleaned.
y be the profit
Profit = Cost of pools cleaned - purchase price of supplies
y = 40x - 85
Hence,
Option A : y = 40x - 85 is the correct answer.
O A man bought a jacket at a sale. He pays $150, saving $35 on the normal price. The percentage discount on the jacket is:
The man got an 18.92% discount on the jacket during the sale if he pays $150, saving $35 on the normal price.
What was the percentage discount on the jacket purchased by the man?
The discount can be calculated as follows:
Discount = Normal price - Sale price
Discount = $35
Normal price = Sale price + Discount
Normal price = $150 + $35
Normal price = $185
So, the percentage discount is:
Percentage discount = (Discount / Normal price) x 100
Percentage discount = ($35 / $185) x 100
Percentage discount = 18.92%
Therefore, the man got a discount of 18.92% on the jacket.
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Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2
There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.
Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.
Denote this path as P. Let x be the vertex on path P that is closest to v.
By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.
Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.
Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
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-3(x - y)
z(k – 1)£-
Plz help I will mark u Brainiest plz helpppp
Answer:
-108
Step-by-step explanation:
ok, so if x=2 and y= -4 and your equation given in the question is -3(x-y)\(^2\)
so we simply input our values of x and y given
-3(2-(-4))\(^2\)
word of advice to make your calculations and answers more precise always deal with numbers in bracket
I used a bracket for 4 because its carrying a minus/ negative sign and two negative multiplied gives a positive .
so, this will give you;
-3(2+4)\(^2\)= -3(6)\(^2\)
the square will only affect the number in the bracket
(6)\(^2\) = 6x6 =36
-3(36)= -3 x 36= -108
!!!!!!!!!!!!!!!!!!!!
Answer:
ten to the third power
Step-by-step explanation:
Answer:
Ten cubed; Ten to the power of three, Ten to the third power
Step-by-step explanation:
11. What is the unknown number in
Sequence 2 in the chart?
Sequence Number
Sequence 1
Sequence 2
A 126
B 127
c 147
D 154
2 3 5
7
14 21 35 49
?
1
7
21 42 63 105
The missing number in Sequence 2 is 780.
To find the missing number in Sequence 2, let's analyze the pattern:
In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...
In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:
2 x 126 = 252
3 x 127 = 381
4 x 128 = 512
5 x 129 = 645
...
Looking at this pattern, we can see that the missing number in Sequence 2 should be:
6 x 130 = 780
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25) Which of these numbers cannot be a probability? (There is more than one answer.)
A -0.02
B0
C 1.002
D 1
Answer:
1.002, -0.02
Step-by-step explanation:
Probabilities range between 0 and 1.
Charlene was making some chocolate squares for her class party. She had 8 packages of the mix. Each package called for cup of milk. How many whole cups of milk would Charlene use for all 8 packages?
The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.
What is a square?A square is a type of quadrilateral that has four sides with four angle 90° at each edge.
The number of chocolate square mixture Charlene would use for the party = 8 packages.
The number of packages that require a cup of milk = 1
Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.
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Help ASAP Find the measure of 3.
90°
26°
116°
64°
Answer:
90°
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
what is 6/11 written as a decimal
Answer:
0.545455
Step-by-step explanation:
turned it into a decimal
Does the equation y = 2.3x represent a
linear or nonlinear function? Explain.
Answer:
y = 2.3x is a linear function.
Step-by-step explanation:
A linear function is a function with all of its terms to the first degree, in other words, none of its terms has an exponent. This means that when the function is plotted out, the resulting graph will be a line. The function, ( y = 2.3x) satisfies both of these requirements, hence it is linear.
I need help with this question
Answer:
5/7
Step-by-step explanation:
ratio of boys to girls---> 2:5
ratio sum: 2+5=7
girls ratio =5/7
OR
total of people in 7th grade choir=28
hence, no of girls in 7th grade choir=5/7 × 28
=20
proportion of girls in choir= 20/28 = 5/7
NEED help on 20-25 please and thank you
The sum of the measures of the interior angles of a nonagon is 1260 degrees
The measure of each interior angle of a regular octagon is 135 degrees
How to calculate the anglesA nonagon is a polygon with nine sides, and the formula to calculate the sum of the measures of the interior angles of a polygon with n sides is:
Sum of interior angles = (n-2) x 180 degrees
Therefore, the sum of the measures of the interior angles of a nonagon is:
Sum of interior angles = (9-2) x 180 degrees = 1260 degrees
An octagon is a polygon with eight sides, and the formula to calculate the measure of each interior angle of a regular polygon with n sides is:
Measure of each interior angle = (n-2) x 180 degrees / n
Therefore, the measure of each interior angle of a regular octagon is:
Measure of each interior angle = (8-2) x 180 degrees / 8 = 135 degrees
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if two angles are 40 degrees and 30 degrees, then the 3rd angle measures 110 degrees. If a triangle has an angle that measures 110 degrees, then it is an obtuse triangle.
It is a valid conclusion
Step-by-step explanation:
15. Kate has 63 pens. She gives all the pens to her 9 friends. Each friend gets
the same number of pens.
Kate said that when she divided the number of pens that each friend got by 9,
the answer was equal to 63. Her friend Margo said that when the number of
pens each friend got was multiplied by 9, the answer was equal to 63.
Which girl is correct? Explain your answer. I will mark as brainlist and vote if you answer
The girl which is correct between kate and her friend Margo is Margo.
The correct answer option is option B
How to multiply?Number of pens Kate has = 63Number of Kate's friends = 9If each friend gets the same number of pens;
Number of pens each friend get = Number of pens Kate has / Number of Kate's friends
= 63 / 9
= 7
Check:
Number of pens each friend get × Number of Kate's friends = Number of pens Kate has
7 × 9 = 63
Therefore, Kate's friend, Margo is correct.
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what will be the cost of material if the volume is 180in^3 and the surface area is 258in^2 and the cardboard cost $0.05 per square inch.cost of material is?
A material in the shape of a rectangular prism (cuboid) is given.
The volume and the surface area are given to be 180in³ and 258in², respectively. The cost of the material per square inch is given to be $0.05.
It is required to find the cost of the material.
To do this, since the cost per square inch is given, multiply the surface area by the cost per square inch:
\(258\times0.05=\$12.9\)The cost of the material is $12.9.
Please tell me what 26 x 2 1/2 is.
Step-by-step explanation:
26*2 1/2
26*3/2
13*3
39 is answer
make mae brain liest
What is |-14|?
A. -14
B. -7
C.7
D. 14
E. 1/14
Answer:
D) 14
Step-by-step explanation:
Absolute value |x| is defined as the distance x from 0.
Basically, whatever is in the absolute value sign cannot be negative
so how do you know if D IS WONG!!!!
Answer:
What are you referring to?
Step-by-step explanation:
Match each compound inequality on the left to the graph that represents its solution on the right.
-5x +9<- 6 or-3x + 1 ≥7
-6x>-18 and 1 ≤ 2x + 5
- 16 ≤ 6x + 2 < 14
1
The compound inequality and the graph it represents is given by -5x +9<- 6 or-3x + 1 ≥7 - Third graph. -6x>-18 and 1 ≤ 2x + 5 - Second graph. - 16 ≤ 6x + 2 < 14 - first graph.
What is compound inequality?When two inequalities are coupled with either "and" or "or," the result is a compound inequality. The steps for solving each of the compound inequalities are the same as for a normal inequality, but when combining the results, it makes a difference whether "and" or "or" is used to join the two inequalities together.
The given compound inequality is:
-5x +9<- 6 or-3x + 1 ≥7
-5x < -6 - 9 or -3x ≥ 7 - 1
x < -15/-5 or x ≥ 6 / -3
x < 3 or x ≥ -3
The third graph represents this inequality.
-6x>-18 and 1 ≤ 2x + 5
x > 3 and 1 - 5 ≤ 2x
x > 3 and -2 ≤ x
The second graph represents this inequality.
- 16 ≤ 6x + 2 < 14
-16 - 2 ≤ 6x < 14 - 2
- 18 ≤ 6x < 12
-3 ≤ x < 2
The first graph represents this inequality.
Hence, the compound inequality and the graph it represents is given by -5x +9<- 6 or-3x + 1 ≥7 - Third graph. -6x>-18 and 1 ≤ 2x + 5 - Second graph. - 16 ≤ 6x + 2 < 14 - first graph.
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The correct question is:
If y is inversely proportional to the square root of x and y=61 when x=9, find y if x=81. (Round off your answer to the nearest hundredth.)
\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\underline{y} is inversely proportional to the square root of \underline{x}}}{y = \cfrac{k}{\sqrt{x}}}~\hfill \stackrel{\textit{we also know that}}{ \begin{cases} y = 61\\ x = 9 \end{cases}}\)
\(61=\cfrac{k}{\sqrt{9}}\implies 61=\cfrac{k}{3}\implies 183=k~\hfill \boxed{y = \cfrac{183}{\sqrt{x}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{when x = 81, what is "y"?}}{ y = \cfrac{183}{\sqrt{81}}\implies y=\cfrac{183}{9}}\implies y = \cfrac{61}{3}\implies y = 20.\overline{3}\implies y = \stackrel{\textit{rounded up}}{20.33}\)
Please Respond ASAP!!!!!
Solve the equation. 18 = m - 18
Answer:
n = 36
Step-by-step explanation:
18 = n - 18
add 18 to both sides
36 = n
n = 36
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
36
Step-by-step explanation:
18 + 18 = 36
36 - 18 = 18
Mark as Brainliest
In the long run, which plan has the higher payout?
Plan A
Payout P(Payout)
-$5000
0.67
$55,000
0.09
$95,000
0.24
Payout
Plan B
- $30,000
$35,000
$65,000
P(Payout)
0.15
0.44
0.41
The most appropriate choice for expectation will be given by-
Plan B has a higher payout
What is expectation?
At first it is important to know about probability of an event.
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Here,
For planout A
Expected value of plan A = \(-5000 \times 0.67 + 55000 \times 0.09 + 95000 \times 0.24\\\)
= $24400
For planout B
Expected value of plan A = \(-30000 \times 0.15 + 35000 \times 0.44 + 65000 \times 0.41\\\)
= $37550
Plan B has a higher payout
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The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch
The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.
The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.
The wiper's arm is represented by a line segment and has a length of 14 inches.
The wiper's blade is perpendicular to the arm and has a length of 25 inches.
Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.
As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.
The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.
In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.
Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.
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Express 120 as a percentage of 75
Answer:
62.5%
Step-by-step explanation:
75/120 x 100
= 62.5%
Please help me asap!!!
Answer:
\(Area = 25*(10 + w) + 13.5(10 + w)\)
Step-by-step explanation:
Given
Stores and Parking Lots
Required
Determine the area as a sum of area of stores and area of parking lots
First, calculate the area of the stores
The dimension of store A is: 25 by 10
The dimension of store B is: 25 by w
The dimension of stores A and B (as an entity) is: 25 by 10 + w
The area is then calculated as:
\(Area = 25 * (10 + w)\) -------- A1
Next, calculate the area of the parking lots
The dimension of parking lot A is: 13.5 by 10
The dimension of parking lot B is: 13.5 by w
The dimension of parking lots A and B (as an entity) is: 13.5 by 10 + w
The area is then calculated as:
\(Area = 13.5 * (10 + w)\) -------- A2
The area of the shopping center is then calculated as:
\(Area = A_1 + A_2\)
\(Area = 25*(10 + w) + 13.5(10 + w)\)
A sequence of translations maps triangles ABC to triangle A'B'C'.
Triangle ABC has vertices A(5,7), B(-5,4), and C(1,7).
The coordinates of A' are (2,9).
What are the coordinates for B' and C'?
*Don't forget the parenthesis when answering.
B' is:
C' is:
Using translation concepts, it is found that:
B' is: (-8, -2). C' is: (-2, 9).-------------------
In the original triangle, we have A(5,7).After the translation, the coordinates are: A'(2,9).That is, 3 was subtracted from the x-coordinate, while 2 was added to the y-coordinate. Thus, the translation rule is: \((x,y) \rightarrow (x - 3, y + 2)\).Applying the same for vertices B and C:\((-5,-4) \rightarrow (-5 - 3, -4 + 2) = (-8, -2)\)
\((1,7) \rightarrow (1 - 3, 7 + 2) = (-2, 9)\)
Thus:
B' is: (-8, -2).
C' is: (-2, 9).
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