The Answer of the x value is 45x-56=y
Answer:
x =27
Step-by-step explanation:
-It is given in the picture that angle A is bisected so we can use the angle bisector theorem ( if a ray bisects an angle of a triangle then it divides the opposite side of the triangle into segments that are proportional to the other 2 sides)
-We write the proportions
(x+8) / 10 = (2x-5) / 14
-If a fraction equals another fraction we can cross multiply to make the division a multiplication
14 (x+8) =10 (2x-5)
- distribute multiplication over addition and subtraction
14x + 112 = 20x -50
- subtract 14x and add 50 to both sides of the equation
112+50 = 20x -14x
-combine like terms
162 = 6x
- divide both sides by 6
27 = x
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Given: 5(x + 2) - 3 = 4(x - 1)
Prove: x = -11
Statement Reason
5(x + 2) - 3 = 4(x - 1) given
5x + 10 - 3 = 4x - 4 [?]
5x + 7 = 4x - 4 addition
5x = 4x - 11 subtraction
x = -11 subtraction
Answer:-11 proved
Step-by-step explanation:
5(x+2)-3=4(x-1)
Open brackets
5x+10-3=4x-4
Collect like terms
5x-4x=-4+3-10
x=-11
Oliver did the high jump three times. His scores were 7.016 feet, 5.42 feet, and 8.308 feet. How many feet did he jump in total? pleas help im in test
The total height of the three jumps is A = 20.744 feet
Given data ,
1st high jump score: 7.016 feet
2nd high jump score: 5.42 feet
3rd high jump score: 8.308 feet
On adding the scores , we get
7.016 + 5.42 + 8.308 = 20.744 feet
On simplifying the equation , we get
A = 20.744 feet
Hence , Oliver jumped a total of 20.744 feet in the three high jumps
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simplify express with positive exponents of 64 3/6
Answer:
107.16
Step-by-step explanation:
You work in a hardware store. You have two boxes of nails. The first box weighs 6 pounds, 7 ounces, and the second
box weighs 2 pounds, 9 ounces. Which equation can be used to calculate how much the two boxes weigh in
ounces?
O ounces = 16(6 + 2) + 16
O ounces = 16(6 + 2)
O ounces = 16(6 x 2) + 16
O ounces = 16(6 x 2)
O ounces = 16(6+2)
Done
Answer:
ounces = 16(6+2) + 16
Step-by-step explanation:
First you would have to find the conversion rate of pounds to ounces which is 16 ounces for 1 pound. That means that you would have to multiply 16 by the amount of pounds you have. Then you would have to add the amount of ounces you have onto the equation so A would be the one that does that.
Christie has $200 in her bank account. Every month, she deposits $20 into her account.
The equation of the line that models the amount of money, y, in her account x months from now is y = x .
Answer:
y = 20x + 200
Step-by-step explanation:
The 200 is the constant. It is only added once, but the monthly deposits are added at 20 every month.
After 1 month:
y = 20x + 200
y = 20(1) + 200
y = 20 + 200
y =220 money deposited.
After 2 months:
y = 20x + 200
y = 20(2) + 200
y = 40 + 200
y =240 money deposited.
After 3 months:
y = 20x + 200
y = 20(3) + 200
y = 60 + 200
y = 260 money deposited
And so on, and so on, and so on...
When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?
To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.
We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score formula is:
z = (x - μ) / σ
Where:
x = value (62 seconds)
μ = mean (61 seconds)
σ = standard deviation (1.5 seconds)
Calculating the z-score:
z = (62 - 61) / 1.5
z ≈ 0.6667
Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.
Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.
To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:
Number of trials = Proportion * Total number of trials
Number of trials = 0.7461 * 39
Number of trials ≈ 29.08
Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.
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8. Use the point-slope formula to write an equationof a line in slope-intercept form using the points(1/2,5) and (5/2,9)
We have the next two points:
- (1/2,5)
- (5/2,9)
And we must use the point-slope formula to write an equation of a line in slope-intercept
First, we need to calculate the slope of the line using the point-slope formula
\(\begin{gathered} y_2-y_1=m(x_2-x_1) \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}\)Where (x1, y1) and (x2, y2) are the two points
Now, replacing the points
\(m=\frac{9-5}{\frac{5}{2}-\frac{1}{2}}=\frac{4}{\frac{4}{2}}=\frac{4}{2}=2\)Now, we must replace the slope and one of the two points in the point-slope formula:
\(y-y_1=m(x-x_1)\)Replacing m = 2 and (1/2, 5)
\(y-5=2(x-\frac{1}{2})\)Finally, we must simplify to obtain the slope-intercept form
\(\begin{gathered} y-5=2x-1 \\ y=2x-1+5 \\ y=2x+4 \end{gathered}\)ANSWER:
y = 2x + 4
There are 200 different pieces of fruit in a barrel. There are 42 apples, 82 oranges, and 76 pears. Which of the following events have a probability that is less than 0.4? Select all that apply. A. Randomly selecting an apple B. Randomly selecting an orange C. Randomly selecting a pear D. Randomly selecting an apple or an orange E. Randomly selecting an apple or a pear F. Randomly selecting an orange or a pear
:
apples
Step-by-step explanation:
there are 42 apples so thats the least so more probability that it is 0.4 it also rounds up to it sorry if im wrong
Write the fraction 9/45 in simplest form.
Answer:
1/5
Step-by-step explanation:
Divide 45 by 9. = 5. = 1/5
Thank you for the help!
Answer:
c 57
Step-by-step explanation:
Please answer: h^-1(x) for this question
All the solutions are,
g⁻¹ = { (7, - 7), (- 7, - 6), (6, - 1), (9, 3) }
h⁻¹ (x) = 5x - 13
⇒ (h⁻¹ о h ) (- 3) = 3
We have to given that,
Functions g and f are defined as,
g = {(- 7, 7), (- 6, - 7), (- 1, 6), (3, 9)
And, h (x) = (x + 13) / 5
Now, We can simplify for inverse function as,
For inverse function of g,
g = {(- 7, 7), (- 6, - 7), (- 1, 6), (3, 9)
g⁻¹ = { (7, - 7), (- 7, - 6), (6, - 1), (9, 3) }
And, Inverse function of h is,
h (x) = (x + 13) / 5
y = (x + 13) / 5
Solve for x,
5y = x + 13
x = 5y - 13
h⁻¹ (x) = 5x - 13
So, We get;
⇒ (h⁻¹ о h ) (- 3)
⇒ (h⁻¹ (h (- 3))
⇒ (h⁻¹ (- 3 + 13)/5)
⇒ (h⁻¹ (2))
⇒ 5 (2) - 13
⇒ 10 - 13
⇒ - 3
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Help I don’t understand!
As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of depression increases.
what is angle of depression?the arc formed as the line of sight drops from the horizon. The angle of depression is the angle formed when an object is perceived below the observer's height between the horizon and the line of sight of the observer. The depression angle is the angle formed between the line of sight looking down at the object and the horizontal line of sight. If you are on a hill or a building and you are looking down at something, you can tell the slope. To measure these angles, a theodolite or an inclinometer might be employed.
As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of the depression increases.
∠x = 65° ≤ ∠XYZ
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Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.
Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.
Answer:
Step-by-step explanation:
this is called "monotonically decreasing" as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero, the number gets smaller and smaller.... it approaches zero is what happens.
Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts
I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
What is a credit card?The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.
However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.
Now, I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
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The figure below is a cube with each side length 10 cm. Find the lengths of AC and EC.
The value of AC is 5.5cm and EC is 5.cm
What is the diagonal of a cube?A cube is a shape with all it's sides equal. The diagonal of a cube are equal. This means EC and AC are equal.
The formula that is used to calculate the length of a space or body diagonal of a cube is given as, Length of each body diagonal of a cube = √3x, where x = Length of each side of a cube.
Since the side length is 10 cm, the diagonal is obtained as
D = √3x
x = 10 cm
D = √ 3× 10
D = √ 30
D = 5.5 cm(1 d.p)
therefore AC is 5.5 cm and EC is 5.5cm
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PLEASE ANSWER ASAP
Each month your cell phone company charges you $ 50 for your plan plus 4 cents for each text you send. You have $ 90 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send _____________ texts this month in order to stay within your budget.
Answer:
I think you can send 1000 texts
Step-by-step explanation:
cuz you have 90 dollars take away 50 that the phone bill costs you're left with 40 the text costs 4 cents every time that means if you multiply 0.04 by 1000 is 40 dollars thas all I got hope it helps
6,000 for six years at 8½% compounded daily will grow to:
Multiple Choice
$9,060.00
$9,788.81
$9,991.15
$9,990.02
Calculating interest on the principal borrowed as well as any prior interest. $6,000 for six years at a daily compounded rate is None of these. No option is correct. The amount is $991.15.
What is compound interest?Annual interest compounding adjective finance. If you borrow $100,000 at 5% interest compounded annually, you would owe $5,250 after the first year on a principal of $105,000. This method involves calculating and adding interest to an investment or loan once a year rather than for a longer period.
The formula to determine how much an investment will grow to overtime when it is placed in an account for years during which it generates dollar-compound interest is:
A = P(1 +r/m) m t
The values for each of these variables are provided as follows, presuming that a year has 365 days: m =365 t=6r 8.5% = 0.085The investment's worth is then computed after six years, as illustrated below.
A =991.15
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SOMEONE PLEASE PLEASE HELP!!!!
Answer:
49\(\sqrt{21}\)
Step-by-step explanation:
You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well
Answer: 49 √3 or 84.87049
Step-by-step explanation:
A flagpole casts a shadow that is 24 ft long at the same time you cast a shadow that is
4.5 ft long. If you are 6 ft tall, how tall is the flagpole?
Answer:
32 ft tall
Step-by-step explanation:
24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32
What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
A box shaped like a cube has an edge that is 28 cm long. How much space is available to pack inside the box?
Answer: 21,952 cm³
Step-by-step explanation:
Answer:
There are 21952cm of room in the middle
Step-by-step explanation:
To find the volume
LxHxW=volume
y = - 3x² - 2x - 3
Is the function quadratic
Answer:
Yes
Step-by-step explanation:
Any equation that is to the second degree is quadratic.
Y-4>3 solve the question
Answer:
y>7
Step-by-step explanation:
y-4>3
+4 +4
y>7
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Is the product positive or negative? Why?
The multiplication expression with eight rational factors are ''positive''.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.
Hence, The multiplication expression with eight rational factors are positive.
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Please help. What is the solution to this system of equations using the linear combination method? {5x+y=24x+y=5 (0, 2) begin ordered pair 0 comma 2 end ordered pair. (−3, 17) begin ordered pair negative 3 comma 17 end ordered pair. (1, −8) begin ordered pair 1 comma negative 8 end ordered pair. (−2, 12)
what is a rule for the translation of triangle rst select all that apply
To determine the rule of translation, let's compare R(-4, 5) and R'(1,0).
As you can observe, the horizontal displacement is 5 and the vertical displacement is 5.
This means the rule is (5, -5),
Hence, the answer is A and B,show that the set of vectors in is orthogonal and (b)normalize the set to produce an orthonormal set.
An orthonormal set is a set of orthogonal unit vectors.
Normalization is the process of making unit vectors.
Orthonormal VectorsA set of vectors in which each vector is orthogonal to every other vector in the set is called an orthogonal set of vectors.
Two vectors are orthogonal when their dot product equals zero.
An orthonormal set is one in which each vector has length 1 and is orthogonal.
The process of creating a vector of length 1 in the same direction of the original vector is called "normalization".
An orthonormal set of vectors that is a basis of a vector space is quite useful. We can use the Gram-Schmidt process to transform a basis of a vector space (which may not be orthogonal) into an orthonormal basis.
To normalize vectors to produce an orthonormal set of vectors, we calculate the length of the vector and divide the vector by its length, to obtain a unit vector.
Since the question asked about "how to normalize vectors to produce an orthonormal set" that implies that the vectors already form an orthogonal set.
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The given question is incomplete,
So , I take another question, The question is:
How to normalize vectors to produce an orthonormal set?
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 300030003000 feet and height of 120012001200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 101010 inches.
1. What scale is Alexander using?
2. What is the height of Alexander's triangle in inches?
Alexander is utilizing a scale of 1 inch : 300 feet for his map.
The Alexander's triangle has a height of 4 inches in inches.
How to determine the map's scaleWhen comparing the initial dimensions as used by alexander, the scale of the map may be determined.
The scale is 1 inch: 300 feet since he used 10 inches to symbolize 3000 feet, this is gotten by diving both sides by 10
Using the scale factor 1 inch: 300 feet, the height of 1200 feet would be.
300 feet per inch, then ? inch is 1200 feet
? * 300 = 1200 * 1
? = 1200 / 300
? = 4 inches
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which is it giving brainliest
Answer:
It's actually all of them
Step-by-step explanation:
Make sure you choose all of the above