Answer:
x = 7
Explanation:
To solve for x, we first apply the distributive property on the right side of the equation as follows:
\(\begin{gathered} 138=8(3x-3)-6 \\ 138=(8\cdot3x)-(8\cdot3)-6 \\ 138=24x-24-6 \end{gathered}\)So, adding like terms, we get:
\(138=24x-30\)Adding 30 to both sides:
\(\begin{gathered} 138+30=24x-30+30 \\ 168=24x \end{gathered}\)Finally, dividing by 24 into both sides:
\(\begin{gathered} \frac{168}{24}=\frac{24x}{24} \\ 7=x \end{gathered}\)Therefore, the value of x is 7
there are 720 people at a conference table if each table hold 12 people how many people are at each table
Answer:
60 tables.
Step-by-step explanation:
Given: There are 720 people and one table holds 12 people, how many tables are there?
First, put this on a chart:
x tables ( all ) = 720 people
1 table = 12 people
To solve x:
x = 720 / 12
x = 60
Therefore in total there are 60 tables for 720 people.
Evaluate f(x)=3x-9, when x=-2
A. -18
B. -33
C. -3
D. -15
Answer:
d. -15
Step-by-step explanation:
f(x) = 3x - 9, when x = -2
Input -2 into the function for x and solve:
f(-2) = 3(-2) - 9
f(-2) = -15
Hope this helped :)
Select all the equations that are equivalent to y-4 =2/3(x-1)
The equivalent equations of y - 4 = 2/3(x - 1) are y - 4 = 2/3x - 2/3 and y = 2/3x + 10/3
How to determine the equivalent equation?From the question, we have the following parameters that can be used in our computation:
y - 4 = 2/3(x - 1)
We start by expanding the bracket
So, we have the following representation
y - 4 = 2/3x - 2/3
Next, we add 4 to both sides of the equation
This gives
y - 4 + 4 = 2/3x - 2/3 + 4
Evaluate the like terms
So, we have the following representation
y = 2/3x + 10/3
Hence, the equivalent equation is y = 2/3x + 10/3
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Some students are making muffins for a fundraiser. They have already made 80 muffins
and they can make 30 muffins in an hour. How many additional hours would they spend
to make 380 muffins?
Answer:
10 hours
Step-by-step explanation:
380 - 80 = 300
30 : 1 = 300 : x
x = 300 / 30
x = 10
The body temperature of adults are normally distributed with a mean of 98.6 f and a standard deviation of 0.71f what temperature represents the 95th percentile ?
If no deposits or withdrawals
are made, money held in this
account may increase or
decrease.
This account may generate
income from a variety of
sources.
There is no risk of losing any
money put in this account.
Savings Account
Interest income is the only
way to earn money in this
type of account.
Investment Account
Answer:
Savings Account
There is no risk of losing any money put in this accountInterest income is the only way to earn money in this type of accountInvestment Account
If no deposit or withdrawals are made, money held in this account may increase or decreaseThis account may generate income from a variety of sources
Bill weighs 240 pounds and is losing two pounds each month . Phil weighs 290 pounds and is losing 4 pounds each month . How many months , m, will it take Bill to weigh the same as Phil
They will weigh the same at twenty-five months.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Let the number of months when they will weigh the same would be m
Given that Bill is losing two pounds per month and is currently 240 pounds.
So his model expression of weight would be: 240 - 2m
And Bill is losing four pounds per month and is currently 290 pounds.
So his model expression of weight would be: 290 - 4m
As per the condition, they will weigh the same
⇒ 240 - 2m = 290 - 4m
⇒ 4m - 2m = 290 - 240
⇒ 2m = 50
⇒ m = 25
Therefore, they will weigh the same at twenty-five months.
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help!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC
According to the figure the required lengths are
BD = 7 units
BC = 9.9 units
How to find the required lengthsThe required lengths is solved knowing that in a right triangle having angle 45 degrees, the lengths of the legs of the right triangle are equal.
Also, the perpendicular bisector creates another angle 45 degrees at angle B.
hence we another right triangle with a leg as 7 units hence BD is 7 units
solving for BC
BC = BA
BC² + BA² = CA²
BC² + BC² = 14²
2 x BC² = 196
BC² = 98
BC = √(98)
BC = 9.9 units
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69+69+69-6+9-69+69+420
Answer:780
Step-by-step explanation:
Answer
The answer would be 630
Step-by-step explanation:
69+69 = 138
138+69 =207
207 - 6 = 201
201 + 9 = 210
210 -69 = 141
141 + 69 =210
21 + 420 = 630
I really need Help if u give right answer u get brainliest
Answer:
Step-by-step explanation:
the scientist creates an equation that models her data for each tree so that she can predict the diameter in the future. complete a linear equations that fits the data for tree 1, where x is the year and y is the trunk diameter, in inches. click on the variables and number you want to select and drag them into the boxes.
The linear equation obtained is y = 0.3X + 18.3
What is linear equation?A linear equation is an equation that can be written in the form ax + b = 0, where a and b are real numbers and x represents an unknown variable. The solutions of linear equations are often graphed on a coordinate plane, forming a straight line. Linear equations can be used to model many real-world situations, such as population growth, the rate of change of a physical quantity, or the total cost of an item. Linear equations can also be used to solve systems of equations, where several equations must be solved simultaneously.
Given that data :
x = year ;
y = trunk diameter, in inches
Year ________trunk diameter
1 __ 18.6
3 __ 19.2
5 __ 19.8
7 __ 20.4
9 ___21.0
11 __ 21.6
13 __ 22.2
Using the linear regression calculator :
The linear equation obtained is :
y = 0.3X + 18.3
Where ;
Slope = 0.3 ; intercept, c = 18.3
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Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch.
(1 point) help me pls D;
please D:
b equal for the top of the bookcase to have the correct area= 5 cm2
What is surface area?A solid object's surface area is a measurement of the total area that the surface of the object takes up.
The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.
A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.
This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.
Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.
L × b = 300
b = 300 / L
b = 300 / 60 = 5
Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.
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what is 999.09344471 rounded to the nearest square kilometer?
The nearest kilometers to 999.09344471 km is 1000 km.
Given value is 999.09344471 Km.
We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.
Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only the value after the decimal (934) is to be rounded off which is (900).
So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.
Again rounding off 999.900 km to nearest km so it becomes 1000 km.
The nearest kilometers to 999.09344471 km is 1000 km.
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A poll of 1500 registered voters is taken. Of these, 600 say they will vote for candidate Smith.
1)The point estimate for the proportion of the population who will vote for this candidate assuming the poll is based on a random sample is:
2)The estimate of the variance of the point estimator adopted is:
The point estimate for the proportion of the population who will vote for this candidate assuming the poll is based on a random sample is 0.4.
How to calculate the point estimate?It should be noted that point estimate is simply used to calculate a single value of a parameter.
From the information given, the poll of 1500 registered voters is taken and of these, 600 say they will vote for candidate Smith.
Therefore, the point estimate for the proportion of the population who will vote for this candidate assuming the poll is based on a random sample will be:
= 600/1500
= 0.4
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A student earned the scores in the data set in one course. {90, 87, 58, 79, 91} What is the mean of the scores?
Answer:
The mean on the data set is 81.First, add all the numbers together:
90 + 87 + 58 + 79 + 91
= 405
Next, divide the number by 5:
405 ÷ 5
= 81
Step-by-step explanation:
You're welcome.
mean of the scores: 81
Step-by-step explanation: Mean means the average
Mean = (sum of #s) / amount of #s
sum of numbers = 90 + 87 + 58 + 79 +91 = 405
amount of #s = 5
405/5 = 81
Kelly tried to solve the following equation,
Answer:
wich question??????????????
cual
no te entiendo me puedes explicar
Which ordered pair solves this linear system?
Y= -x
Y= 2x
The ordered pair that solves the system of equation is (0, 0).
To solve this system, we can substitute the first equation into the second equation to eliminate y:
x = 2x
Solving for x, we get x = 0.
Substituting x = 0 into the first equation, we get y = 0.
Therefore, the ordered pair that solves the system is (0, 0).
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Samuel and Jason spent 3/4 of their combined earnings from 100 by gift. How much do they spend? Is there enough left over from Wednesday’s earnings to buy a card that cost $3.25
They spend $5.88 on a gift, but there is not enough money left over to spend $3.25 on a card, if Samuel and Jason spent 3/4 of their combined earnings from 100 by gift.
Define equation.A formula that expresses the connection between two expressions on each side of a sign is called equation. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2.
Given,
Samuel and Jason spent 3/4 of their combined earnings from 100 by gift.
Samuel and Jason's profits as of Wednesday are as follows:
Earnings for Samuel:
12.5 x 40
$5.
Earnings for Jason are
7.1 x $0.40
$2.84.
The total revenue for Wednesday is:
Samuel's and Jason's combined incomes are equal.
Earnings totaled
$5 + $2.84 = $7.84
The money that was spent is:
Total income multiplied by 34 equals spent income.
Earnings spent = 7.84 x 1/4
Earnings spent = $5.88
The remainder is:
Equation
Leftover = Total Earnings - Spent Earnings
7.84 - 5.88 = $1.96 in leftovers.
They spend $5.88 on a gift, but there is not enough money left over to spend $3.25 on a card.
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3. Alaska is 3,186 miles from California and 2,774 miles from Florida.
Assuming the roads between the three States made a right triangle, find the
distance from California to Florida.
Answer: 4224.413805 miles
Step-by-step explanation:
First, we use The Pythagorean Theorem equation to find the distance between California and Florida
Equation: \(a^{2}\)+\(b^{2}\)=\(c^{2}\)
\(3186^{2}\)+\(2774^{2}\)=\(c^{2}\)
So, we are trying to solve for c.
The first thing we do is evaluate the expression.
10,150,596+7,695,076=\(c^{2}\)
Add like terms
17,845,672=\(c^{2}\)
Then, do inverse operations and square root 17,845,672
You would then get 4224.413805 miles.
Create an equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power.
a) (0.625)(0.42)2
b) eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
c) (1.6)(0.42)2
d) 0.11
The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B
Exponential(5/8)^-1 × (0.42)^2
= {1 ÷ (5/8)¹} × 0.42²
= {1 × (8/5)¹} × 0.42²
= (8/5)¹ × 0.42²
Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
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Answer:
(1.6) (0.42)^2 C
Step-by-step explanation:
I had originally put B, but my teacher explained and said its C.
the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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solve the following system by substitution -3x+y=-5 and 3x+6y=0
Answer:
\(x=\frac{10}{7},\:y=-\frac{5}{7}\)
Step-by-step explanation:
\(\begin{bmatrix}-3x+y=-5\\ 3x+6y=0\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-3x+y=-5:\quad x=-\frac{-5-y}{3}\\\\\mathrm{Subsititute\:}x=-\frac{-5-y}{3}\\\\\begin{bmatrix}3\left(-\frac{-5-y}{3}\right)+6y=0\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}5+7y=0\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:5+7y=0:\quad y=-\frac{5}{7}\\\\\mathrm{For\:}x=-\frac{-5-y}{3}\\\\\mathrm{Subsititute\:}y=-\frac{5}{7}\\\\x=-\frac{-5-\left(-\frac{5}{7}\right)}{3}\)
\(-\frac{-5-\left(-\frac{5}{7}\right)}{3}=\frac{10}{7}\\\\x=\frac{10}{7},\:y=-\frac{5}{7}\\\\\)
a computer program is in Shannon's computer carries out a single mathematical operation in 1.5 * 10 over 6 seconds how much time would the program take to complete 2.5 * 10/3 mathematical operations
Question:
Solution:
This computer program carries out a single mathematical operation in
\(1.5x10^{-6}\text{ seconds}\)then, to complete 2.5 x 10^3 mathematical operations the program will take a time of:
\((1.5x10^{-6})(2.5x10^3)=3.75x10^{-3}\)thus, the correct answer is:
\(3.75x10^{-3}\)Given the formula : Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded monthly.
Answer: $35,242.79 given the formula
Katso is a truck driver. He travels at an average speed of 80km/h and covers a certain distance in 3 hours 20 minutes. At what average speed must he travel to cover the same distance in 2 hours 40 minutes?
Answer:
100km/h
Step-by-step explanation:
3hrs 20mins = 200mins
80(200)=16000
2hrs 40mins = 160mins
16000÷160=100
The diameter of the sun is about 1.4x10^6 km. The diameter of the planet Mercury is about 5000 km. What is the approximate ratio of the diameter of the sun to the diameter of mercury?
A. 2.8 x 10^2
B. 3.6 x 10^2
C. 2.8 x 10^3
D. 3.6 x 10^-3
Answer:B
Step-by-step explanation:
Trig Identities. Question in photo. Stuck on how to prove
Attached is the worked out problem.
What to do when customer hands you a dime for full change in dollars back?
Answer:
If you are using a cash register, giving back correct change is pretty simple. Just type in the cost of the item and the amount paid and bingo, the cash register tells you how much change to give back. However, if your cash register is broken, or you entered the wrong amount, or you don’t have a cash register, you’ll need to know how to make change on your own. The basic method is to count up from the price of the purchase to the amount the customer paid.
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Why are inequalities like the last two problems graphed on a number line while the ones in the
Set portion of this assignment are graphed on a coordinate plane? What difference is there
between the inequalities in the last two problems and the ones found in problems 13-16?
It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.
Why some inequalities are graphed on a number line?The type of diagram that we need to use depends on the number of variables that we have.
A single variable ----> number linetwo variahbles ----> a coordinate plane.3 variables ---> a volume.That is the main reason, for example:
x > 2
Is graphed on a number line.
y > 3x + 4
is graphed on a coordinate plane.
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What is the square root of a triangle
Answer:
30 60 90
Step-by-step explanation: