what is the equation?
3 + 5(2 + 7n) = 258
Answer:
n = 7
Explanation:
[tex]\rightarrow \sf 3 + 5(2 + 7n) = 258[/tex]
apply distributive method: a(b + c) = ab + ac
[tex]\rightarrow \sf 3 + 10 + 35n = 258[/tex]
simply add the numbers
[tex]\rightarrow \sf 13 + 35n = 258[/tex]
subtract both sides by 13
[tex]\rightarrow \sf 13-13 + 35n = 258-13[/tex]
simplify the following
[tex]\rightarrow \sf 35n = 245[/tex]
divide both sides by 35
[tex]\rightarrow \sf n = 7[/tex]
Answer:
n = 7
Step-by-step explanation:
1) Subtract 3 from both sides.
5(2 + 7n) = 258 - 3
2) Simplify 258 - 3 to 255.
5(2 + 7n) = 255
3) Divide both sides by 5.
2 + 7n = 255/5
4) Simplify 255/5 to 51.
2 + 7n = 51
5) Subtract 2 from both sides.
7n = 51 - 2
6) Simplify 51 - 2 to 49.
7n = 49
7) Divide both sides by 7.
n = 49/7
8) Simplify 49/7 yo 7.
n = 7
graph the line of best fit
Answer:
something like this
Step-by-step explanation:
you want the line to go as close to as many dots as possible
PLEASE HELP FAST!!!
The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
Angle of elevation and depressionFrom the question given, we have the following parameters
Base of the building = 7feet
Height of the building = 18 feet
Required
angle of elevation
Using the SOH CAH TOA identity
tanФ = opp/adj
tanФ = 18/7
Ф = 68.73 degrees
Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
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Question:
A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.
8y and y are like terms
true
or
false
Answer:
True
Step-by-step explanation:
Hope this helps :)
2
3
4
5
6
7
8
O They have the same slope.
O They have the same y-intercept.
9
10
TIME REMAINING
55:24
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations
O They intersect at one point.
O They intersect at two points.
Answer:
72
Step-by-step explanation:
yhsvybybyvyyvtvvyyvvt
Answer:
number 9 is the answer for this question
What is the original price of an item that is being charged a tax of 20%, and
the total price is $144?
Points 1
bear corp. has $100,000 cash in the bank restricted to repay a note payable that matures in 2 years. how should this $100,000 be reported?
It should be reported as a restricted cash in the long-term section of the company balance sheet.
What is note payable?Note payable can be defined a the money a company or an organization owes or the money they are expected to payback..
Note payable is classified as long term liabilities. Hence, the cash amount of $100,000 should be reported or recorded in the balance sheet as a restricted cash.
Therefore the $100,000 is reported as a restricted cash.
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Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, correct about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric
2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b.
Sue's estimate is best because she throws it more times than Eric. Regarding the probability of Aadi obtaining tails, Statement C is accurate.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, and in business to create probability-based forecasts.
Ten biased coin throws are made by Eric. He is dealt 3 tails. Sue tosses a coin 50 times. I give her 20 tails.
Aadi will only toss the coin once. Regarding the probability of Aadi obtaining tails.
Sue's estimate is best because she throws it more times than Eric.
Hence option C is correct.
2)
An estimate for the likelihood that Aadi will receive tails using the findings of Eric and Sue. 3/20 will be the fraction of the form a/b.
The probability of the Aadi getting tails;
P(Aadi) = 3 / 360 = 1/120
P(Sue) = 20/50×36 = 1/90
Hence the fraction in the form of a/b willl be 4/3.
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What is the value of x in the triangle?
Answer:
45 degree=√2/2
√2/2=12√2
we use criss-cross method
√2x/√ 2=12√2/√ 2
×=24
Step-by-step explanation:
if it confused you this is (/)is dividing
hope I helped
please mark me as brainlyst
Can someone help with this pls
Answer:
This is C
Step-by-step explanation:
The slope is 4, meaning the integers are 4, 8, 12, 16, 20 etc. But then the last point is seen to be 40, meaning the answer is C because it is from 0-40 with a slope of 4.
Write and solve a proportion to complete the statement. Round to the nearest hundreth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
The conversion of the following units are done below.
6 km = 3.72 miles2.5 L = 0.65 gallons90 lb = 40.5 kgWhat is conversion?Conversion means to convert the same thing into different units.
We know the following unit's conversion.
1 km = 0.62 miles
6 km = 3.72 miles
1 L = 0.26 gallons
2.5 L = 0.65 gallons
1 lb = 0.45 kg
90 lb = 40.5 kg
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5. A, b, c plsssssss rn
5a. a° = 128°
5b. b° = 1.3°
5c. c° = 341°
How to determine the unknown sides5a
a° = 128°
This is because parallel angles are equal and angles a° and 128° are parallel to each other
5b
Angles (4b-10)° and (2b - 2)° are equal.
This is because alternate angles are equal and they are alternate to each other
To find b , equate both angles
4b - 10 = 2b - 2
collect like terms
4b + 2b = -2 + 10
6b = 8
Make 'b' subject of formula
b = 8/6
b = 1.3°
5c.
c° is at angle at a point.
19° is alternate to the other part of the point
We have, c° + 19° = 360° (angle at a point)
c° + 19° = 360°
Make 'c' subject of formula
c° = 360° - 19°
c° = 341°
Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°
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Which list is in order from least to greatest?
Answer:
The first option.
Explanation:
Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.
A singles tournament had six players. Each player played every other player only once, with no ties. If Helen won 4 games, Ines won 3 games, Janet won 2 games, Kendra won 2 games and Lara won 2 games, how many games did Monica win
Monica win 2 games.
What is Expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
According to the question,
First we look from the perspective of one player.
How many games does this person play? 5.
Now, each or the 6 people in the tournament played 5 games,
SO,
[tex]^{6} C_{2} = \frac{6!}{2! * 4!} = \frac{6*5}{2} = 15[/tex]
Therefore,
We know that there were a total of 15 games played.
This means, there were 15 losses, and more importantly, 15 wins.
Not counting Monica, there were:
4 + 3 + 2 + 2 + 2 = 13 wins.
This leaves,
15 − 13 = 2 wins for Monica.
Hence, 2 games won by monica in a tournament.
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Type the correct answer in each box. Use numerals instead of words.
The domain of this function is (-12.-6.3, 15).
y =
Complete the table based on the given domain.
X
-6
15
y
S
15
Answer:
ttttihbogfpvvovovibjnphgbpvvvohj
$50 item discounted 30%
Answer:
$15 is the answers
Step-by-step explanation:
please mark me as brainlest
Answer:
$ 35.00 is what you pay $15.00 off original price
Step-by-step explanation:
30 % discount means you pay 70 %
$ 50 * .70 = $ 35 .00
HEEEEEEEELLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
6
Step-by-step explanation:
This problem centers on recognizing the relationship between fractions and repeating decimals.
Note the following:
[tex]\frac{1}{3}=0.33333333333333333333333333333333333333333333333...[/tex]
or more simply [tex]\frac{1}{3}=0.\bar{3}[/tex]
This means that [tex]2\frac{1}{3}=2.\bar{3}[/tex]
Going back to the original expression, [tex]3\frac{2}{3}+2.\bar{3}[/tex] simplifies to [tex]3\frac{2}{3}+2\frac{1}{3}[/tex]
Next, adding mixed numbers. For adding mixed numbers, whole number parts and fractional parts can be added separately (this is because of the associative and commutative properties of addition)... because
[tex]3\frac{2}{3}+2\frac{1}{3}[/tex] means the same thing as
[tex](3+\frac{2}{3})+(2+\frac{1}{3})[/tex]
Changing the order, we can write it as
[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]
Adding the whole number parts, 3+2 is 5.
Next, adding the fraction parts:
For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same). Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.
Fortunately, the denominators are already the same. So, add the numerators, and the denominator will stay as a 3.
[tex]\frac{2}{3}+\frac{1}{3}[/tex]
[tex]\frac{1+2}{3}[/tex]
[tex]\frac{3}{3}[/tex]
It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.
*(except if the number we're talking about is zero)
So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5. Returning to our expression...
[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]
[tex]5+\frac{3}{3}[/tex]
[tex]5+1[/tex]
[tex]6[/tex]
how can pascal's triangle be useful in finding probabilities? 30 point for thisss I need help
Answer: The coefficients of binomial expansions are calculated using Pascal's triangle.
Please help answer this question asap 2/11
The correct answer is option A which is the value a₃₂ = 7.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
In the given matrix the value of a₃₂ means that the element of the third row and the second column.
So the value of a₃₂ will be 7. which is present in the third row and the second column.
Therefore the correct answer is option A which is the value a₃₂ = 7.
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Charlie is installing new carpet in his rectangular living room, which is 5 feet longer than it is wide. He has received quotes for the total
installation costs from two different contractors for the same style of carpet.
Contractor A charges an installation fee of $125 plus $2 per square foot for the carpet.
Contractor B charges an installation fee of $75 plus $2.50 per square foot for the carpet.
Based on this information, which system of equations could be used to determine the width of the living room, x, in feet, at which the
quote for the installation costs, y, is the same for both companies?
Considering the area of a rectangle, the equation that could be used to determine the width for which the costs are the same is:
125 + 2(x² + 5x) = 75 + 2.5(x² + 5x)
What is the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of dimensions, that is:
A = lw
In this problem, the dimensions are given as follows:
w = x, l = x + 5.
Hence the area in square feet is:
A = x(x + 5) = x² + 5x.
Then the costs are given as follows:
A(x) = 125 + 2(x² + 5x).B(x) = 75 + 2.5(x² + 5x).The costs will be equal when:
A(x) = B(x)
125 + 2(x² + 5x) = 75 + 2.5(x² + 5x)
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Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
Solve this system of equations algebraically:
y – 10 = 11x + x2
y – 12x = 30
The first solution is (–4, –18).
The second solution is (
,
).
Answer:
(-4,-18) and (5,90)
Step-by-step explanation:
I'll assume the first equation is supposed to be y – 10 = 11x + x^2
This is a parabola. The second equation is a straight line:
y – 12x = 30
We want to find the points at which these lines intersect. They will intersect for any (x,y) that
Let's rearrange the second equation to isolate y:
y – 12x = 30
y = 30 + 12x
Now we can take the this value of y and substitute it into the first equation:
y – 10 = 11x + x^2
(30 + 12x) – 10 = 11x + x^2
20 + 12x = 11x + x^2
0 = x^2 -x -20
We can factor this into (x+4)(x-5)
That means x can be either -4 or 5.
Find the value of y using these values of x in both original equations:
For x = -4
y – 10 = 11x + x^2
y = 11x + x^2 + 10
y = 11(-4)+(-4)^2 +10
y = -44 + 16 + 10
y = -18 The point both lines meet is at (-4, -18) which was already given in the problem.
For x = 5
y – 10 = 11x + x^2
y = 11x + x^2 + 10
y = 11(5) + (5)^2 + 10
y = 55 + 25 + 10
y = 90
The second point both lines meet is (5,90).
We should use both solutions in the second equation to verify these values, but I'll graph them, instead. See the attached graph to prove these points are correct.
(08.01)
A new video game is expected to sell 120 copies the first hour at a local game store. After that, the sales will follow the function s(x) = 15(=
1) where x is the number of hours. What is the function that shows total sales, including the first hour?
Answer:
f(x)=15x+120
Step-by-step explanation:
trust
How many 1/4 minutes are there in 3/4 minutes?
Answer: 3
Step-by-step explanation:
[tex]\frac{\frac{3}{4}}{\frac{1}{4} }=3[/tex]HELPPPPP PLSSSS I ONLY HAVE A FEW MINUTES LEFT
Answer:
6
Step-by-step explanation:
The second rational number equals 2 1/3.
Adding the mixed numbers:
[tex]3 \frac{2}{3} + 2 \frac{1}{3} = 5 \frac{3}{3} = 6 [/tex]
I need help with Algebra every single time
Please help
Answer:
perimeter = 12 z + 3
Explanation:
The perimeter of a shape is the sum of all the sides.
Therefore, we add all the sides' lengths together:
perimeter = (4z - 2)+(3z + 3)+(z + 5)+(4z- 3)
= 12 z + 3
Which statements about the location of the point are true? Select three options.
can someone please help mee(20 points and i will give brainliest!!!)
Answer:
vertex: (3,1)
y-intercept = (0,-8)
x-intercept- Smaller=2 Larger=4
Domain= all real numbers, identity, infinite
Range= 1 is greater than or equal to y
axis of symmetry=3
Step-by-step explanation:
The terms of a particular sequence are determined according to the following rule: If the value of a given term $t$ is an odd positive integer, then the value of the following term is $3t -9$; if the value of a given term $t$ is an even positive integer, then the value of the following term is $2t -7$. Suppose that the terms of the sequence alternate between two positive integers $(a, b, a, b, \dots )$. What is the sum of the two positive integers
More plainly, the sequence is defined recursively by
[tex]a_{n+1} = \begin{cases} 3a_n - 9 & \text{if } a_n \text{ is odd} \\ 2a_n - 7 & \text{if } a_n \text{ is even} \end{cases}[/tex]
and some starting value [tex]a_1[/tex].
We're given that the sequence alternates between two constants, [tex]a[/tex] and [tex]b[/tex], so that [tex]a_1 = a[/tex].
• If [tex]a[/tex] is even, then the second term [tex]b[/tex] must be odd, since
[tex]a_2 = 2a_1 - 7[/tex]
by the given rule, and 2×(even) - (odd) = (odd). So
[tex]a_2 = 2a-7 = b[/tex]
In turn, the third term is even, since we jump back to [tex]a[/tex]. From the given rule,
[tex]a_3 = 3a_2 - 9[/tex]
and so
[tex]3b-9 = 3(2a-7)-9 = a \implies 6a-30=a \implies 5a=30 \implies a=6[/tex]
[tex]3b-9 = 6 \implies 3b = 15 \implies b = 5[/tex]
Then the sum of the two integers is [tex]a+b=\boxed{11}[/tex]
• You end up with the same answer in the case of odd [tex]a[/tex], so I'll omit this part of the solution. (It's almost identical as the even case.)
If a point is reflected over the y-axis, then the coordinates of (x, y) are changed to ______________.
Answer:
its opposite
Step-by-step explanation:
What is the quotient startfraction negative 8 a superscript 8 baseline b superscript negative 2 baseline over 10 a superscript negative 4 baseline b superscript negative 10 baseline endfraction in simplified form? assume a not-equals 0, b not-equals 0.
The quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).
Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.
In the question, we are given an exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) and are asked to find the quotient of it.
To find the quotient, we will try to simplify the equation using the laws of exponents in the following way:-
(-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰),
= (-4/5)(a⁽⁸ ⁻ ⁽⁻⁴⁾⁾b⁽⁻² ⁻ ⁽⁻¹⁰⁾⁾) {Using the law of exponent: [tex]\frac{x^{a} }{x^{b} } =x^{(a-b)}[/tex] }
= (-4/5)(a¹²b⁸).
Therefore, the quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).
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