A and B are Similar
B and C are not Similar
A and C are not Similar
--
Square A and B use numbers in the tens whilst square C used 72 not tens and because A and B you add 20 to both sides and then they are equal.
a mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 6 liters of yellow tint are added to the original mixture. the percent of yellow tint in the new mixture is?
Help math what is the equation of the line
Q2) The number of people signed up for a bus trip increased from 32 to
45. What is the percent increase?
Answer:
45-32 = 13 / 32 *100= 40.625 round to the nearest percent is 41%
Step-by-step explanation: Brainlest plzzz
determine the lowest common multiple and highest common factor of 88 and 165
Answer: lowestmutliple=1320 highestfactor=11
Step-by-step explanation:
I did some work and calculated this and that's what I got. I hope it's right and I hope it helps! ^w^
Inequalities - Introduction
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
if y varies inversely as the same of x, and =7/4 whenx = 1, find y when x=3
if y varies inversely as the same of x, and y=7/4 when x = 1 then value of y is 7/12 when x=3
If y varies inversely as the same of x, we can write the equation:
y = k / x
where k is the constant of proportionality.
Let us find the value of constant of proportionality k:
y = 7/4 when x = 1
7/4 = k / 1
Apply cross multiplication we get:
7/4 = k
k=7/4
Now plug in the value of k to find y when x = 3:
y = k /x
y = (7/4) / 3
When a fraction is divided by the whole number then fraction is multiplied with reciprocal of the whole number.
y=7/4×1/3
Multiply the numerators and denominators.
y=7×1/4×3
We know that 7×1 is 7 and 4×3 is 12.
y=7/12
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will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
plz help
A student’s grade goes from a 95 to a 60 in 3 weeks because they didn’t do their homework Calculate the student’s rate of the grade change.
Fill in the blank with a number to make the expression a perfect square.x²+18x+
Answer:
Question:
The expression is given below as
\(\begin{gathered} x^2+18x+k \\ let\text{ }k=missing\text{ number} \end{gathered}\)Concept:
The general expression of a quadratic expression is given below as
\(ax^2+bx+c\)By comparing coefficients, we will have
\(\begin{gathered} x^2+18x+k \\ ax^2+bx+c \\ a=1,b=18,c=k \end{gathered}\)The formula to be used to calculate the number to make a quadratic expression a perfect square
\(\begin{gathered} b^2=4ac \\ b^2=4ak \\ k=\frac{b^2}{4a} \end{gathered}\)By substituting the values, we will have
\(\begin{gathered} k=\frac{b^{2}}{4a},b=18,a=1 \\ k=\frac{18^2}{4\times1} \\ k=\frac{324}{4} \\ k=81 \end{gathered}\)Hence,
The final answer is
\(\Rightarrow81\)salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
You have been asked to build a tree house with a floor that is twice as long as it is wide. You have only a certain amount of wood you can use. Which of these strategies would you be most likely to use while planning the tree
house?
A. Work backward.
B. Draw a diagram.
C. Find a pattern.
D. Act it out.
9514 1404 393
Answer:
B. Draw a diagram.
Step-by-step explanation:
Most construction starts with a diagram.
_____
Additional comment
You may actually start by finding a pattern you like, then figuring the material required to construct the pattern, then working backward to determine the dimensions you need to use to stay within your material budget. You will probably draw a diagram at many points in the planning process.
base of a triangle is represented by (2x -6) and the height is represented by (x - 2)
given that the formula for the area of a triangle is A = 1/2 x b x h, which polynomial expression represents the area of the triangle.
A: x^2 + 5x + 6
B: x^2 - 5x + 6
C: x^2 + 5x - 6
D:2x^2 + 10x +12
Answer:
B
Step-by-step explanation:
A man wants to mesure the height of a nearby building. He places a 7ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building’s shadow is 162ft, the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot.
The height of the building is approximately 227 feet.
In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.
The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.
As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.
Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF
On substituting the values from the given data, we get:
AE/(EF + 5.5) = 7/5.5.... (1)
Similarly, we can write from the given data:
BD/DF = 162/5.5.... (2)
From equations (1) and (2), we can write:
AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)
On solving the above equation for AE, we get:
AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft
Therefore, the height of the building is approximately 227 feet.
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Solve for x
3/4x = -9
-12 is the answer
Step-by-step explanation:
\( \frac{3x}{4} = - 9\)
Firstly we have to take 4 to the R.H.S and multiply -9 with 4
\(3x = - 9 \times 4 \)
\(3x = - 36\)
Now, take 3 to R.H.S and divide 3 by -36
\(x = \frac{ - 36}{ \: \: 3} \)
so after solving this we get our answer,
\(x = - 12\)
Hope it helps u
Solve following modular equation, using reverse Euclidean algorithm:
\((5 * x) mod 91 = 32\)
The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
Given that (5*x) mod 91 =32.
To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.
Consider (5*x) mod 91 =32.
5x = 32(mod 91)
Apply the Euclidean algorithm to find GCD of 5 and 91 is
91 = 18 * 5 + 1.
Rewrite it in congruence form,
1 = 91 - 18 *5
On simplifying the equation,
1 = 91 (mod 5)
The modular inverse of 5 modulo 91 is 18.
Multiply equation by 18 on both sides,
90x = 576 (mod91)
To obtain the smallest positive solution,
91:576 = 6 (mod 91)
Divide both sides by the coefficient of x:
x = 6 * 90^(-1).
Apply the Euclidean algorithm,
91 = 1*90 + 1.
Simplify the equation,
1 + 1 mod (90)
The modular inverse of 90 modulo 91 is 1.
Substitute the modular inverse in the given question gives,
x = 6*1(mod 91)
x= 6 (mod91)
Therefore, the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
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im a breadstick grrrr
Answer:
ok if u say so
Step-by-step explanation:
A recipe for soup calls for 6 tablespoons of lemon juice and cup of olive oil. The given recipe serves 4 people, but a cook wants to make a larger batch that serves 40
a) How many cups of lemon juice will the chef need for the larger batch?
b) How many pints of olive oil will the chef need for the larger batch?
a) The chef needed
(Type a whole number,
cups of lemon juice for the larger batch.
proper fraction, or a mixed number.)
b) The chef needed
pints of olive oil for the larger batch.
(Type a whole number, proper fraction, or a mixed number.)
The chef needed a) 3¾ cups of lemon juice and b) 20 pints olive oil for the larger batch.
What is mixed fraction?A mixed fraction is one that has both its quotient and remainder represented. A mixed fraction like 2 1/3 is one where the remainder is 1 and the quotient is 2. Therefore, a mixed fraction is made up of both a whole number and a correct fraction.
The recipe was for 4 person, but now here are 40
The scale multiple is = 40/4
= 10
a) As 1 cup = 16 tablespoon
The number of tablespoon of lemon required for 40 men = 6 × 10
= 60
Converting to cup = 60/16
= 3¾ cups
b) As 1 cup = 0.5 pints
The number of cups of olive oil required for 40 men = 1 × 10
= 10
Converting to pints = 10/0.5
= 20 pints
Thus, The chef needed 3¾ cups of lemon juice and 20 pints olive oil for the larger batch.
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Find the area of a 10 cm sphere
.
help
Answer:
that's 4,188.8 if it's gonna be a 10cm sphere
The Lim household paid $45 for electricity usage in a certain month. Find in kWh, the amount of electricity they used in that month if each electricity (in kWh) is charged at $0.20
The Lim household used 225 kWh of electricity in that month. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
All real numbers are thought to be adequately described by the four basic operations, often known as "arithmetic operations." The mathematical operations quotient, product, sum, and difference come after division, multiplication, addition, and subtraction.
We are given that the Lim household paid $45 for electricity usage in a certain month and each electricity (in kWh) is charged at $0.20.
Let the electricity used be x.
So, we get an equation as
⇒ 0.20x = $45
Using the division operation, we get
⇒ x = 225 kWh
Hence, the Lim household used 225 kWh of electricity in that month.
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Please help! I need by tomorrow
- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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what is a regression through the origin
A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.
This version is also referred to as zero-intercept regression or homogeneous regression.
It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.
The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.
However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.
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Graph the image of the figure after a dilation with a scale factor of 1/3 centered at the point (0, 2) . Use the Polygon tool to graph the dilated figure.
The three vertices will give us the dilated figure.
How to Graph the image of the figure after a dilation?First we find the slope of the line that would pass through the point of dilation, (-3, 0), and each vertex.
From (-3, 0) to (5, 4), the slope would be
m = (4-0)/(5--3) = 4/8
Since the scale factor is 1/2, this means each part of the slope would be multiplied by this scale factor:
(4(1/2))/(8(1/2)) = 2/4
This means from our point of dilation we count up 2 and over 4; this puts the new point at (-3+4, 0+2) = (1, 2).
From (-3, 0) to (3, 8) the slope is
m = (8-0)/(3--3) = 8/6
Multiplying the rise and run by 1/2, we have
(8(1/2))/(6(1/2)) = 4/3
This means the dilated point would be up 4 and over 3 from (-3, 0), putting it at (-3+3, 0+4) = (0, 4).
From (-3, 0) to (-5, 4), the slope is
m = (4-0)/(-5--3) = 4/-2.
Multiplying the rise and run by 1/2, we have
(4(1/2))/(-2(1/2)) = 2/-1
This means the dilated point would be up 2 and over -1 from (-3, 0), putting it at (-3+-1, 0+2) = (-4, 2).
These three vertices give us the dilated figure.
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Happy Card Co. designs personalized cards which cost $1.10 per card. The fixed cost to make the cards is $264 per day. If the company charges $5.10 per card, how many cards must be delivered daily to make a profit of $52? Show work below.
Step-by-step explanation:
x = number of cards
the production costs (PC) per day are
PC(x) = 264 + 1.1x
the sales (S) are
S(x) = 5.1x
the profit (P) per day is sales minus costs
P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =
= 5.1x - 264 - 1.1x = 4x - 264
we need to find the value of x, so that P(x) = 52.
52 = 4x - 264
316 = 4x
x = 316/4 = 79
79 cards must be delivered daily to make a profit of $52.
Write an equation for the function graphed below
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ
Need help, fast!
See attachment to get your answer. Thanks.
Anuja looked up how many goals her favorite soccer team has scored in each match over the past few
seasons.
The table below is a probability distribution Anuja created where X represents the number of goals the
team scored in a given match.
х
0
1
2
3
4
P(X) 0.191
0.319 0.287
0.128
0.074
Which graph correctly displays this probability distribution?
Probability distributions can be represented using tables and graphs
How to determine the graphThe probability table is given as:
x 0 1 2 3 4
P(x) -> 0.191 0.319 0.287 0.128 0.074
The above table means that:
P(0) = 0.191
P(1) = 0.319
P(2) = 0.287
P(3) = 0.128
P(4) = 0.074
Next, we check if the table represents a probability distribution using:
\(\sum P(x) = 1\)
So, we have:
\(\sum P(x) = 0.191 + 0.319 + 0.287 + 0.128 + 0.074\)
\(\sum P(x) = 1\)
The graph is not given. So, I will plot the graph
See attachment for the figure that represents the probability distribution
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If f(–1) for the polynomial is –2, f(x) =2x^4 =2x-5 is -2 can you use the Factor Theorem to find the other factor?
The value of the function for the other factors will be -1.41 and - 3.90 respectively.
What is a factorization?It is a method for dividing a polynomial into parts, each of which will be multiplied. At this moment, the polynomial's value will be zero.
Given function;
f(x) =2x⁴ - 2x-5
The roots (zeros) are the
x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
x≈−1.089744,1.40581409
The value of the function for the other factors;
f(x) =2x⁴ - 2x-5
f(−1.089744) = 2(−1.089744)⁴-2(1.089744)-5
f(−1.089744) = -1.41
f(x) =2x⁴ - 2x-5
f(1.40581409) = 2(1.40581409)⁴-2(1.40581409)-5
f(−1.089744) = - 3.90
The value of the function for the other factors will be -1.41 and - 3.90 respectively.
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you want wall-to-wall carpeting in your room, which measures 24' x 1' . Carpeting is on sale for 9.97 per square yard. estimate the cost. round answer where possible.
Answer:
Step-by-step explanation:
First, we need to convert the dimensions of the room from feet to yards, since the price is given per square yard.
24 feet = 8 yards (since 1 yard = 3 feet)
So the dimensions of the room are 8 yards x 1 yard.
The area of the room is 8 x 1 = 8 square yards.
The cost of the carpeting per square yard is $9.97.
So, the estimated cost of the carpeting would be:
8 x $9.97 = $79.76
Rounding this to the nearest cent gives an estimated cost of $79.76.