A) 3/2=x/4
B) 2/3=x/4
C) 2/3=4/x
D) x/3=2/4
Answer:
B) 2/3=x/4
Step-by-step explanation:
Since the figures are similar, we can use ratios to solve
2 x
----- = -----------
3 4
Answer:
a)x=(3*4)/2 x=12/2 x=6
Tyler had $150 in his bank account. He deposited $300 into his bank account. The next day, he withdrew $50. How much money does he have in his account now? ASAP!!!!
Answer:
$400
Step-by-step explanation:
150 + 300 = 450
450 - 50 = 400
Answer:
150+300=450 then 450-50=400
Step-by-step explanation:
I hope this is the right answer ^-^
solve for x in the diagram below
The length of a rectangle is "a" inches and the width is 3 inches more than its length. find the perimeter and the area
Answer:
Step-by-step explanation:
Givens
Length = a
Width = a + 3
Formulas
P = 2L + 2w
Area = L * w
Solution
Perimeter
P = 2L + 2w
P = 2*a + 2(a + 3) Remove the Brackets
p = 2a + 2a + 6 Combine
P = 4a + 6
Area
Area = L * w
Area = a (a + 3)
Area = a^2 + 3a
The table shows the amount of snow, in cm, that fell each day for 30 days. Amount of snow (s cm) Frequency 0 s < 10 8 10 s < 20 10 20 s < 30 7 30 s < 40 2 40 s < 50 3 Work out an estimate for the mean amount of snow per day
The mean amount of snow per day is equal to 19 cm snow per day.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
For the total amount of snow based on the frequency, we have;
Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)
Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135
Total amount of snow (s cm), F(x) = 570
Now, we can calculate the mean amount of snow as follows;
Mean = 570/30
Mean = 19 cm snow per day.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The perimeter of a rectangle is the sum of the lenths of its four sides. Which expression, where / = length and w= width, does not show the relationship?
Answer:
Perimeter of a rectangle = 2(L + W)
Step-by-step explanation:
L = length
W = width
In a rectangle, of the four sides, there are two equal length and 2 equal width
Length = 2 sides
Width = 2 sides
perimeter of a rectangle is the sum of the lenths of its four sides.
Perimeter of a rectangle = L + L + W + W
= 2L + 2W
Factorize
= 2(L + W)
Perimeter of a rectangle = 2(L + W)
This expression shows the relationship
Help!
Solve for B: -6 + 2 + 3B + 4 = 2(4 + 1) - 1
Answer:
B=1.7
Step-by-step explanation:
-6+2+3B+4=2(4+1)-1
-6+2+4+3B=2(4+1)-1
3B=2-1(4+1)
3B=4+1
3B=5
B=5/3=1.7
At an electronics store, a $165 television is marked up 110%. Trevor purchases the tv and must pay 6. 5% sales tax. What is the total cost of this television at the store? a. $193. 30 b. $299. 48 c. $369. 02 d. $571. 73.
The total cost of this television at the store is $193.30
Given,
A $165 television has indeed been increased 110% in price at an electronics store. When Trevor buys the TV, he is bound to pay 6.5% in sales tax.
A $165 television has been increased 110% in price at an electronics store.
When Trevor buys the TV, a 6.5% sales tax is due.
Consequently, this television will cost in the store a total of
The total cost of the TV is equal to 165 dollars multiplied by 1.10 and 1.065.
⇒ $165*1.10*1.065
= $193.30
TVs cost a total of $193.30.
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Mia hired a moving company. The company charged \$500$500dollar sign, 500 for its services, and Mia gives the movers a 16\%16%16, percent tip.
How much does Mia tip the movers?
\$
The amount that Mia tipped to the movers is $80.
What is Percentage?Percentage is known as a portion or part per 100 in terms of fraction. The symbol % is used to denote percent..
We can calculate percentage of any number by multiplying the number first with the whole and then multiplying with 100.
$500 is given as service charge to the movers and 16% of it is given as tip by Mia.
So the amount of the tip = 16% × 500
= 0.16 × 500
= 80
Hence, Mia tipped an amount of $80.
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What’s the value of k ?
Hello!
\(\large\boxed{k = 10^{o}}\)
When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:
m∠YZX + m∠ZXY ≅ m∠MYZ
(4k + 5)° + (6k + 10)° = 115°
Combine like terms:
10k + 15 = 115°
Subtract 15 from both sides:
10k = 100°
Divide both sides by 10:
k = 10°
Answer:
k=10
Step-by-step explanation:
First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.
Second you would set the equations equal to 115
4k+5+6k+10=115
Then you would combine the like terms
10k+15=115
next you would subtract the 15 from both sides
10k=100
then you divide by 10
k=10
Please help, find the measure of angle 1 (geometry)
Solve for v.-3v + 16 > -7V - 8Write your answer with v first, followed by an inequality symbol.>
Simplify the inequality for v.
\(\begin{gathered} -3v+16>-7v-8 \\ -3v+7v+16>-7v-8+7v \\ 4v+16-16>-8-16 \\ 4v>-24 \\ \frac{4v}{4}>-\frac{24}{4} \\ v>-6 \end{gathered}\)So answer is,
\(v>-6\)I need this math answer now and explain it to me please
Answer:
C
Step-by-step explanation:
i dont have an explanation its just C
Answer:
the answer is 35.
Step-by-step explanation:
So first you look for 75 on the x-axis because this represents the number of people in attendance. 75 would be the line between 50 and 100. Then you need to follow the 75 line up until you see the point that the graphed line intersects the "75 line". When you drag you finger from that point over to the y-axis, you see the number of recyclables is about 35.
Compute f′(a) algebraically for the given value of a. f(x)=−7x+5;a=−6
The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.
To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.
This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.
Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:
f(x) = −7x + 5
⇒ f′(x) = d/dx (−7x + 5)
⇒ f′(x) = d/dx (−7x) + d/dx(5)
⇒ f′(x) = −7(d/dx(x)) + 0
⇒ f′(x) = −7⋅1 = −7
Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7
Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.
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When do you use mass and volume in your everyday life?
Definitions
Mass is the amount of matter in a substance / objectVolume is the amount of space the substance / object takes upMass
Mass of sugarMass of soilVolume
Volume of the cubeVolume of the glassEveryday Life
You could be baking and you would have to find the mass of sugar you will put in the bowlAnd you'll have to find the volume of the bowl... to see if it will fitIn a class, 7 students walk to school, two fifths ride and 32% are dropped off by their parents.
How many students ride the bus?
{please give the answer in number}
Use the Triangle Angle Sum Theorem to find the measure of the angle on point C.
(1 point)
Therefore , the solution of the given problem of triangle comes out to be curve C has a measure of 70 degrees.
What precisely is a triangle?If a polygon has at least one additional segment, it is a hexagon. Its structure is a simple rectangle. Something like this can only be distinguished from a regular triangular form by edges A and B. Euclidean geometry only creates a portion of the cube, despite the precise collinearity of the borders. A triangular has three sides and three angles.
Here,
Sum of Triangle Angles According to a theorem, a triangle's internal angles always add up to 180 degrees.
We are aware that angle B in the trapezoid is 50 degrees and angle A is 60 degrees. As a result, we can apply the Triangle Angle Sum Theorem to determine the size of angle C:
Angle A +Angles B + C = 180 degrees.
With the known numbers substituted, we obtain:
Angle C: 60° + 50°+60° = 180°
By condensing the left half, we obtain:
Angle C = 180-110 degrees
By taking away 110 degrees from each side, we arrive at:
C = 70-degree slope.
As a result, curve C has a measure of 70 degrees.
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Denise is using a ladder to clean the outside of her second story windows. The ladder she is using is 24 feet long and she puts the base of the ladder 13 feet away from the house in order to avoid her flower gardens. How high up the side of her house does the ladder reach? Round to the nearest tenth, if necessary.
The ladder can reach 21.17 feet high up of Denise's house.
Given,
The length of ladder Denise used to clean the outside of her second story windows = 24 feet
The distance between the base of the ladder and house = 13 feet
We have to find the height of the house which the ladder can reach:
For that we can use Pythagorean Theorem.
That is,
Hypotenuse² = Altitude² + Base²
Here,
Hypotenuse is the length of the ladder = 24 feet
Altitude is the height of the house ladder can reach = x
Base is the distance between base of the ladder and house = 13 feet
Therefore,
24² = x² + 13²
576 = x² + 169
x² = 576 - 169
x² = 407
x = \(\sqrt{407}\)
x = 21.17
That is, the ladder can reach 21.17 feet high up of Denise's house
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Mrs. Norton wants to buy health insurance for her family, Plan A costs $620.50 per month. Plan B costs $597.20 per month. How much will she save in 12 months by choosing Plan B instead of
Plan A?
A $7,446.00
B $7,166.40
C $320.60
D $279.60
Answer:
Step-by-step explanation:
620.50 * 12 = 7,446
597.20 * 12 = 7,116.4
7446 - 7116.4 = 329.6
If The Statement Is True, Prove It. If The Statement Is False, Provide A Counterexample: (A) Let U,V∈V(G) Be Distinct. The Union Of The Edge Sets Of Two Different U, V-Walks Must Contain A Cycle. (B) Let U,V∈V(G) Be Distinct. The Union Of The Edge Sets Of Two Different U, V-Paths Must Contain A Cycle.
(A) The statement is true. The union of the edge sets of two different U, V-walks must contain a cycle. (B) The statement is false. The union of the edge sets of two different U, V-paths does not necessarily contain a cycle.
(A) The statement is true. If we have two different U, V-walks in a graph, the union of their edge sets will always contain a cycle. This is because a walk is a sequence of vertices and edges that allows revisiting vertices and reusing edges. By combining two different U, V-walks, we are essentially creating a closed loop or a cycle within the graph.
(B) The statement is false. The union of the edge sets of two different U, V-paths does not necessarily contain a cycle. A path is a sequence of vertices and edges where no vertex or edge is repeated. It allows traversing through the graph without revisiting any vertex or reusing any edge. If we combine two different U, V-paths, they may simply merge and extend the overall path without forming a cycle.
To illustrate this, consider a simple graph with three vertices A, B, and C, where there is a direct edge from A to B and another direct edge from B to C. If we consider two different U, V-paths from A to C, say A-B-C and A-C, their union (A-B-C-A-C) does not form a cycle. It is a connected path from A to C without any repeated edges or vertices.
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Given that mLKN=145°, find the mLKM and mMKn
Answer: ∠LKM=56° and ∠MKN=89°
Step-by-step explanation:
Notice that ∠LKM and ∠MKN make up ∠LKN. That means ∠LKM and ∠MKN combines equals 145°.
2x+10+4x-3=145 [combing like terms]
6x+7=145 [subtract both sides by 7]
6x=138 [divide both sides by 6]
x=23
We are almost done. We still need to plug it in to find the angle values.
∠LKM
2x+10 [plug in x=23]
2(23)+10 [multiply]
46+10 [add]
56
∠LKM=56°
------------------------------------------------------------------------------------------------------------
∠MKN
4x-3 [plug in x=23]
4(23)-3 [multiply]
92-3 [subtract]
89
∠MKN=89°
Therefore, ∠LKM=56° and ∠MKN=89°.
the daily high temperatures are recorded:
-5 °F, 3 °F, -1°F, 2°F 4 °F, -3 °F
What is the average high temperature for the expedition?
What property did you use to find it?
The average Temperature will be 0°F. Property of Mean will be used to find out the Average temperature.
In the given question, we are given a data series which is -5 °F, 3 °F, -1°F, 2°F 4 °F, -3 °F. We have to find out the Average High temperature in this series. For finding out the average we need to use the property of Mean.
The formula for Mean can be defined as:
=> Mean = Sum of all number/Number of terms
Putting the data values in the formula of mean we get:
=> Mean = (-5 +3 -1 +2 +4 -3)/6 => Mean = 0/6
=> Mean = 0
Hence, The average Temperature of the recorded data will be: 0 °F.
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HELPHELPHELPMEE I NEED HELP
Find the value of k that makes the equation below true for all values of x.
3x + 5 − x − 2 = 5x + 3 − kx
In linear equation, k = 3 is the value of k that makes the equation .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
3x + 5 − x − 2 = 5x + 3 − kx
3x - x - 5x + kx = -5 + 2 + 3
- 3x + kx = -3 + 3
- 3x + kx = 0
kx = 3x
k = 3
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In a public opinion poll, 624 people from a sample of 1,200 indicated they would vote for a specific candidate. How many votes can the candidate expect to receive from a population of 40,000?
Answer:20800.
624/1200=.52 40000x.52 =20800
after a party there are parts of three pizzas remaining. there is 3/4 of a pepperoni pizza remaining 5/8 of a cheese pizza remaining and 11/12 of a sausage pizza remaining. the 5 friends who organized the party split the remaining pizza equally. What fraction of a whole pizza does each person get?
Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24
What is a mixed number and how is it different from an improper fraction?A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.
How do you convert a mixed number to an improper fraction?To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.
So to find out the fraction of a whole pizza that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,
3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24
Now to equally divide this into 5 person, we need to divide this fraction by 5,
i.e 55/(24*5) = 11/24
Therefore, each person gets 11/24 of the whole pizza.
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10) There are 5 times as many fiction books in the class library as there are nonfiction books. The number of information books is 7 more than the sum of the number of fiction and nonfiction books. There are 19 information books in the library. How many nonfiction books are there? How many fiction books are there?
The number of fiction and non fiction books are 10 and 2 respectively.
How to find the number of fiction and non fiction books?There are 5 times as many fiction books in the class library as there are nonfiction books.
Therefore,
let
x = number of non fiction book.
number of fiction book = 5x
The number of information books is 7 more than the sum of the number of fiction and nonfiction books.
Therefore,
number of information book = 7 + x + 5x
number of information book = 7 + 6x
There are 19 information books in the library.
Hence,
19 = 7 + 6x
19 - 7 = 6x
6x = 12
x = 12 / 6
x = 2
Therefore,
The number of non fiction book = 2
The number of non fiction book = 5(2) = 10
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Translate the figure 2 units left and 4 units down. What are the coordinates of the image?
The coordinates are A′(
,
), B′(
,
), C′(
,
), and D′(
,
A set of laptop prices are normally distributed with a mean of 750750750 dollars and a standard deviation of 606060 dollars. What proportion of laptop prices are between 624624624 dollars and 768768768 dollars?.
The proportion of the laptops is equal to 0.6 with the price range between 624 dollars to 768 dollars for the given mean and standard deviation.
As given in the question,
Given condition:
Price of of given laptops set are normally distributed:
Mean 'μ' is equal to 750 dollars
Standard deviation 'σ' is 60 dollars
let 'X' represents the price of laptops
Range of price is given by:
624 < X < 768
= (624 - μ)/σ < (X - μ)/σ < (768 - μ)/σ
= (624 - 750)/60 < (X - μ)/σ < (768 - 750)/60
= -126 /60 < (X - μ)/σ < 18 /60
= -2.1 < Z < 0.3
From the table , value of z-score is equal to
z-score for -2.1 = 0.01786
z-score for 0.3 = 0.6179
Required proportion is equal to
0.6179 - 0.01786
= 0.6179 - 0.0179
= 0.6
Therefore, the proportion of laptops with the price between 624 and 768 is equal to 0.6.
The complete question is :
A set of laptop prices are normally distributed with a mean of 750 dollars and a standard deviation of 60dollars.
What proportion of laptop prices are between 624 dollars and 768 dollars?!
You may round your answer to four decimal places.
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For a relationship between variables x and y, the value of y is 24 when x=0, and the value of y increases by 65% for every unit increase of x. What is an exponential equation that relates x and y?
Answer:
The answer would be the second one.
Step-by-step explanation:
The answer is this because 65% as a decimal is .65 and the second equation is the only one with a .65 in it. It is also the only equation with 24 in it as well.
7. Find the corresponding angle.
(look at the picture)
Answer:
angle SXV
Step-by-step explanation: