Answers
Answer:
2. n = 11
4. g = -2
6. t = 21
8. n = 4
10. y = -1
Step-by-step explanation:
2. 63 = -3(1 - 2n)
Dividing both the side by negative 3 we get
[tex]-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11[/tex]
4. -g + 2(3 + g) = -4(g + 1)
First we will open the bracket by distributive property A( B +C) = AB + AC
[tex]-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2[/tex]
6.-3(t +5 ) + (4t + 2) = 8
Using distributive property A( B +C) = AB + AC we get
[tex]-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\[/tex]
8. -8 - n = -3(2n -4)
Using distributive property A( B +C) = AB + AC we get
[tex]-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4[/tex]
10. -4( 2 - y) + 3y = 3(y - 4)
Using distributive property A( B +C) = AB + AC we get
[tex]-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1[/tex]
Related Questions
The slope is undefined and contains the point (-3,8)
Answers
Which would be an equation like x =...
for this point it is x = -3
Determine the intercepts of the line.
5x-9=-8y-3
Answers
Answer:
X-Intercept: (1.2,0)
Y-Intercept (0,.75)
Step-by-step explanation:
If you want fraction form then the
X-Intercept: (6/5,0)
Y-Intercept (0,3/4)
To find the x intercepts, you have to plug y=0 into the equation. After you plug in y=0, you get the equation 5x-9=-3 and once you solve that, you find that the x intercept = 1.2
Likewise, to find the y intercepts, you would plug x=0 into the equation. Once you do that, you get the equation -9=-8y-3 and when you solve for y you get an intercept of 3/4
Please Mark Brainliest ;)
Show the steps on how to follow 3x - 7 =1/2x +6
Answers
Answer:
x=26/5
Step-by-step explanation:
first you would multiply both sides by 2
then you woud end up with 6x- 14 = x+12
then combine like terms subtract x on both sides
5x=26 then divide both sides by 5
x=26/5
578 business and personal emails there are 30 fewer personal emails so how many personal emails
Answers
Answer:
Personal emails = 274 emails.
Step-by-step explanation:
Given,
Business and personal emails = 578
Therefore, there are two types of emails. Again, there are 30 fewer emails in personal emails.
The total number of emails after deducting the fewer personal emails = (578 - 30) = 548 emails.
Therefore, each type of email, according to the question = (548/2) = 274 emails
So, personal emails are 274. Business emails = (274 + 30) = 304 emails.
The problem involves setting up and solving an equation based on the information given: that the number of personal emails is 30 fewer than the number of business emails, and the total is 578. By doing this, we deduce that there are 274 personal emails.
Explanation:The problem tells us that there is a total of 578 emails, both business and personal combined. Furthermore, we know that there are 30 fewer personal emails than business emails. We can use this information to create an equation and solve for the number of personal emails.
First, we can represent the number of business emails as 'x'. So, the number of personal emails would be 'x - 30'. The sum of the business and personal emails is 578, so our equation is x + (x - 30) = 578.
Solving this equation gives us: 2x - 30 = 578, 2x = 608 and finally x = 304. This is the number of business emails. To get the number of personal emails, you subtract 30 from the total business emails (as the question states). So, there are 304 - 30 = 274 personal emails.
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Paulo used the expression 7×(4+4) to solve 7×8. Does his method make sense? Explain
Answers
Answer:
Yes, because 4 + 4 = 8 so it is the same as 7 × 8.
Answer:
Yes.
Step-by-step explanation:
This is because if using PEMDAS, you will see that (4+4) = 8.
That would mean that 7x(4+4) =7x8, and that Paulo is correct.
Use the compound interest formulas A=P(1+r/n)^nt and A=Pe^rt to solve the problem given. Round answers to the nearest cent.
Find the accumulated value of an investment of $15,000 for 6 years at an interest rate of 4% if the money is a. compounded
semiannually; b. compounded quarterly: c. compounded monthly d. compounded continuously.
Answers
Answer:
a) $19,023.63
b) $19,046.02
c) $19,061.13
d) $19,068.74
Step-by-step explanation:
P = 15000
t = 6
r = 0.04
a) Compounded semiannually means 2 times per year, so n = 2.
A = 15000 (1 + 0.04/2)^(2×6)
A = 19023.63
b) Compounded quarterly means 4 times per year, so n = 4.
A = 15000 (1 + 0.04/4)^(4×6)
A = 19046.02
c) Compounded monthly means 12 times per year, so n = 12.
A = 15000 (1 + 0.04/12)^(12×6)
A = 19061.13
d) Compounded continuously means we use the continuous equation:
A = 15000 e^(0.04×6)
A = 19068.74
Jack used 1 2 of a bag of okra to make 1 4 of a gallon of jambalaya. If Jack's recipe is for 1 gallon of jambalaya, how much okra will he need to make double the recipe? A) 1 bag of okra B) 2 bags of okra C) 3 bags of okra D) 4 bags of okra
Answers
Answer:
4 bags of okra
Step-by-step explanation:
To find the unit rate: multiply the numerator by the reciprocal of the denominator.
unit rate =
1/2 divided by 1/4
= 1/2× 4/1
=4/2
= 2 bags per gallon
Therefore, double the recipe: 2 × 2 = 4 bags of okra
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?
Answers
Answer:
3/4
Step-by-step explanation:
1 / (1/3) = 3
1/4 * 3 = 3/4
Mr. Smith had 33 dozen cans. He sold 340 of them at 15$ each. He sold the remaining cans at a discount of 20% each. How much money did he collect from selling the cans.
Answers
he collected a total of $5,772 from selling all the cans.
Mr. Smith collected $5,772 from selling all the cans.
He sold 340 cans at full price for a total of $5,100.
He sold the remaining 39 cans at a discount of 20% each, for a total of $672.
Therefore, he collected a total of $5,772 from selling all the cans.
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Write the standard form of the equation of the circle with a radius of 5 and a center at (0, 0).
Answers
Answer:
Step-by-step explanation:
no
(x +a)² + (y + b)² = r²
Since, a=0 and b=0, r=5, we get x²+ y²= 5².
So, x²+y² = 25
how do u slove for 3x-6=15
Answers
Add 6 on both sides, canceling out that -6
3x = 21
Divide both sides by 3 to isolate that variable and get your answer
x = 7.
Answer:
x=7
Step-by-step explanation:
3x-6+6=15+6
3x=21
3x/3=21/3
x=7
HELPPPPPP The scatter plot shows a regression line of advertising dollars spent and sales. If the company were to spend $350,000 on advertising, what would be the predicted sales? A) $105 million B) $110 million C) $115 million D) $120 million
Answers
Answer:
120 i think i don't know
Step-by-step explanation:
Answer:
D) $120 millionStep-by-step explanation:
The scatter plot is attached. There you can match the value assigned to $350,000.
Using a red line, we find that the answer is between 115 and 125, closer 125 than 115.
So, if you look all choices, there are two possibilities, C and D. However, $115 million can't be the right answer because our graphic approximation is closer to 125.
Therefore, the right answer is D) $120 million.
If the company were to spend $350,000 on advertising, the predicted sales would be $120 million.
At a track meet, Tim ran at a constant speed of 300 meters per minute.
After 8 minutes, he still had 600 meters left to run.
The distance Tim ran was three times as long as the distance Eric ran.
What was the distance that Eric ran?
Answers
Tim ran a total of 3000 meters, which is three times the distance that Eric ran. By dividing Tim's distance by three, we find that Eric ran 1000 meters.
Explanation:To solve for the distance Eric ran, we need to first determine the total distance Tim ran and then divide that by three as Tim's distance is three times longer than Eric's.
Tim's speed is 300 meters per minute, and he ran for 8 minutes before having 600 meters left to run. To calculate the distance Tim ran:
Multiply Tim's speed by the time he ran: 300 meters/minute * 8 minutes = 2400 meters.Add the remaining distance to determine Tim's total distance: 2400 meters + 600 meters = 3000 meters.Since Tim's distance is three times Eric's distance, divide Tim's total distance by three to find Eric's distance: 3000 meters / 3 = 1000 meters.Therefore, the distance that Eric ran was 1000 meters.
A sports statistician determined that the probability of a certain rugby team winning its next match is 3/8 . Find the odds against the team winning its next match.
Answers
Answer:
Odds in against the team winning is 5 : 3
Step-by-step explanation:
Consider the provided information.
The odds against is the ratio of how many ways an outcome can't take place compared to how many ways it can take place.
Here the probability of winning its next match is 3/8.
That means total number of outcomes are 8.
Favorable outcomes are 3.
Therefore, the unfavorable outcomes are 8-3=5.
We need to find the odds against the team winning its next match.
Therefore, odds in against the team winning is 5 : 3
The probability of odds against the team winning is [tex]\frac{5}{8}[/tex]
To find the odds against the rugby team winning, subtract the probability of winning from 1 to get the probability of not winning and form a ratio of these probabilities, resulting in odds of 5:3 against the team winning.
Explanation:The student is asking about the calculation of odds against a rugby team winning its next match given a certain probability of winning. First, we need to understand the probability of the team not winning (losing or drawing) because the odds against the team winning would be the ratio of it losing to it winning. Since the probability of winning is given as 3/8, the probability of not winning is 1 - 3/8 = 5/8. The odds against the team winning are therefore expressed as the ratio of the probability of not winning to the probability of winning, which is 5/8 to 3/8, or simply 5:3 when converted into odds format.
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Weat is the
The point slope form of the equation of the line that passes through (-9, -2) and (1, 3) is
slope-intercept form of the equation for this line?
o y = 2 x + 2
0 y = 2 x 4
o y = x + 2
O y = x - 2
Save and Exit
Submit
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.
o
Answers
Answer:
The slope intercept of the given line equation AB is [tex]y = \frac{1}{2} ( x)- \frac{5}{2}[/tex]
Step-by-step explanation:
Here,the two given point s are A ( -9,-2) and B (1,3).
Now, the slope m of the line AB = [tex]= \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]\implies m = \frac{3 - (-2)}{1 - (-9)} = \frac{3+2}{1+9} = \frac{5}{10} = \frac{1}{2}[/tex]
or, the slope of line AB = 1/2
Now, the POINT SLOPE FORM of any equation with point (x0,y0) and slope m is given as :
y - y0 = m (x -x0)
So, the line equation of AB is given as :
[tex]y - 3 = \frac{1}{2} ( x-1)\\\implies y =3 + \frac{1}{2} ( x-1)\\or, y = \frac{1}{2} ( x)- \frac{5}{2}[/tex]
SLOPE INTERCEPT form is y = mx + c
Hence, the slope intercept of the given line equation AB is [tex]y = \frac{1}{2} ( x)- \frac{5}{2}[/tex]
8 people eat at Charlie Brown's for Thanksgiving. How many different seating
arrangements can be formed around the ping pong table?
Answers
Answer: 40,320
Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!
Answer:
5040
Step-by-step explanation:
The answer is (8 - 1)!
The reason is that the first person is fixed. Any place is the same as any other place. After that there are 7! choices for the next position.
Answer: 5040
6 - x = -12 A) -18 B) -6 C) 0 D) 18
Answers
Answer:
D
Step-by-step explanation:
6 - x = -12
subtract 6 from each side
6 - 6 - x = -12 - 6
-x = -18
divide each side by -1
-x / -1 = -18 / -1
x = 18
Answer:
The answer is D.) 18
Step-by-step explanation:
Subtract 6 from both sides. Divide both sides by −1. The answer is 18.
The cost of producing bicycles at a manufacturing facility is $38 per bicycle plus we
costs of running the facility each day.
What type of function should be used to model the cost of running the facility each day, and
why should this type of function be used?
Answers
Answer:
f(x)=38x+b
Linear Equation
Step-by-step explanation:
So I used slope intercept form it 38 per bicycle and plus the costs of running but we don't know the cost so it's shown as b, the reason I did not use Exponential because from reading the word problem it's not going to grow rapidly.
GETS BRAINILST!!!!The table below shows a correct representation that 12 pounds (lb) of sugar cost $4: lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1 True False
Answers
Answer:
I believe the answer is false because there is no facts that say true.
Answer:
believe the answer is false because there is no facts that say true.
Step-by-step explanation:
You ride your bike at 9 miles per hour. To find how long it will take you to ride 26 miles, you solve the equation 9 • t = 26. What does t represent?
The amount of time it takes to ride 26 miles
Your speed in miles per hour
The number of miles you've traveled so far
The total distance after t hours
Answers
Answer:
The amount of time it takes to ride 26 miles is 2.89 hours.
Step-by-step explanation:
Given : You ride your bike at 9 miles per hour.
To find : How long it will take you to ride 26 miles ?
Solution :
The equation given is [tex]9\times t=26[/tex]
Using distance formula,
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
According to formula t represent the time taken to cover the distance.
Your speed in miles per hour is 9 miles per hour.
The number of miles you've traveled so far is 26 miles.
Solving the equation,
[tex]9\times t=26[/tex]
[tex]t=\frac{26}{9}[/tex]
[tex]t=2.89[/tex] hours
The amount of time it takes to ride 26 miles is 2.89 hours.
A rectangular parking lot has an area of 15,000 feet squared, the length is 20 feet more than the width. Find the dimensions
Answers
Dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet
Solution:Given that
Area of rectangular parking lot = 15000 square feet
Length is 20 feet more than the width.
Need to find the dimensions of rectangular parking lot.
Let assume width of the rectangular parking lot in feet be represented by variable "x"
As Length is 20 feet more than the width,
so length of rectangular parking plot = 20 + width of the rectangular parking plot
=> length of rectangular parking plot = 20 + x = x + 20
The area of rectangle is given as:
[tex]\text {Area of rectangle }=length \times width[/tex]
Area of rectangular parking lot = length of rectangular parking plot [tex]\times[/tex] width of the rectangular parking
[tex]\begin{array}{l}{=(x+20) \times (x)} \\\\ {\Rightarrow \text { Area of rectangular parking lot }=x^{2}+20 x}\end{array}[/tex]
But it is given that Area of rectangular parking lot = 15000 square feet
[tex]\begin{array}{l}{=>x^{2}+20 x=15000} \\\\ {=>x^{2}+20 x-15000=0}\end{array}[/tex]
Solving the above quadratic equation using quadratic formula
General form of quadratic equation is
[tex]{ax^{2}+\mathrm{b} x+\mathrm{c}=0[/tex]
And quadratic formula for getting roots of quadratic equation is
[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
In our case b = 20, a = 1 and c = -15000
Calculating roots of the equation we get
[tex]\begin{array}{l}{x=\frac{-(20) \pm \sqrt{(20)^{2}-4(1)(-15000)}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{400+60000}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{60400}}{2}} \\\\ {x=\frac{-(20) \pm 245.764}{2 \times 1}}\end{array}[/tex]
[tex]\begin{array}{l}{=>x=\frac{-(20)+245.764}{2 \times 1} \text { or } x=\frac{-(20)-245.764}{2 \times 1}} \\\\ {=>x=\frac{225.764}{2} \text { or } x=\frac{-265.764}{2}} \\\\ {=>x=112.882 \text { or } x=-132.882}\end{array}[/tex]
As variable x represents width of the rectangular parking lot, it cannot be negative.
=> Width of the rectangular parking lot "x" = 112.882 feet
=> Length of the rectangular parking lot = x + 20 = 112.882 + 20 = 132.882
Hence can conclude that dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet.
A company has two manufacturing plants with daily production levels of 7 x + 19 items and 2 x - 7 items, respectively. The first plant produces how many more items daily than the second plant?
Answers
The first plant produces 5x + 26 more items daily than the second plant
Solution:Given that , A company has two manufacturing plants
The daily production levels of one company is 7x + 19 items
And daily production levels of another company is 2 x - 7 items
To find the number of items first plant produce more than the second plant, wed need to subtract the number of items produced by second plant from the the number of items produced by first plant.
Extra items produced by 1st plant = daily production of 1st plant - daily production of 2nd plant
Extra items produced count = 7x + 19 – (2x – 7)
= 7x + 19 – 2x + 7
= 7x – 2x + 19 + 7 = 5x + 26
Hence, the 1st plant produces 5x + 26 items more than 2nd plant
Is 3 a solution to the equation 6x – 7 = 11?
Answers
Answer:
Step-by-step explanation:
Yes
First you add 7 to both sides b/c the 7 would be negative. Then your left with 6x=18. Then you divide both sides by 6 and get 3
Answer:
Yes 3 is a solution.
Step-by-step explanation:
6(3) - 7 = 11 6 times three equals 18 so then 18 minus 7 equals 11 so yes.
A) The sum of my digits equals
11. The ones digit minus the
hundreds digit equals 3. No
digit is less than 2.
Answers
need help with 31 pleeeee
Answers
Answer: 1 hour
Step-by-step explanation:
2 gallons in, 3 gallons out per minute
means 1 gallon lost per minute
60 gallons in the tank so it will take 60 minutes to drain it completely
answer=1hr
Mark and Mike are brothers. The sum of their ages is eleven. Mike's age is ten
less than two times Mark's age. How old is each brother?
X =
Write the system:
Solution:
Answers
Answer:mark is 7. Mike is 4
Step-by-step explanation:x+y=11. Y=2x-10 thus substituting for y in equation1 we have x+2x-10=11. 3x-10=11. 3x=11+10. 3x=21. X=21/3. X=7. Mike =(2×7)-10=14-10=4
Step-by-step explanation:
Mark's age is x
so Mike's age is
[tex]2x - 10[/tex]
and we know that the sum of their ages is eleven so:
2x+x- 10 = 11
3x-10=11/+10
3x=21/÷3
x=7
Mark is 7 years old and
Mike is 4 years old.
6. Find the selling price of each of the following:
(i) a television set marked €800 + VAT at 20%
Answers
Answer:
€960
Step-by-step explanation:
€800 + VAT at 20%
€800 + 20% of €800 =
= €800 + 20% * €800
= €800 + 0.2 * €800
= €800 + €160
= €960
Write as a monomial in standard form (-xy^4b^2)^4
Answers
Answer:
[tex]\large\boxed{(-xy^4b^2)^4=x^4y^{16}b^8}[/tex]
Step-by-step explanation:
[tex](-xy^4b^2)^4\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=(-1)^4(x)^4(y^4)^4(b^2)^4=1x^4y^{(4)(4)}b^{(2)(4)}=x^4y^{16}b^8[/tex]
[tex](-xy^{4} b^{2} )^{4}[/tex] can be written as x⁴y¹⁶b⁸.
What is simplification?Procedures must be made simpler in order to attain uniformity in efforts, expenses, and time. Variety and variation that is unnecessary, damaging, and unproductive are eliminated.
Given an equation [tex](-xy^{4} b^{2} )^{4}[/tex] in this, we need to find a monomial in standard form which can be optimized after putting the power back at every variable. hence,
[tex](-xy^{4} b^{2} )^{4}[/tex] = (-x)⁴(y⁴)⁴ (b²)⁴
= x⁴y¹⁶b⁸
Therefore, a monomial in the standard form [tex](-xy^{4} b^{2} )^{4}[/tex] is x⁴y¹⁶b⁸.
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Live Fund are selling their holding at $5,000 per share. How much would Live Fun receive if they sold half thier holding in Marks Brothers?
Answers
Live Fund receive [tex]\bold{\$2500 N}[/tex] it they sold half thier holding in Marks Brothers.
Solution:
Given: Sale price of Live Fund holding is 5000 dollar
To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.
Assume the total holdings held by Live Fund in Marks Brothers as N
Therfore, half the number of shares or (half the holdings) of Live Fund will be [tex]\frac{N}{2}[/tex].
Thus, if each share is valued at [tex]\$5000[/tex], then the total value of the number of shares sold will be as follows,
[tex]\Rightarrow5000\times\frac{N}{2}\text{ dollars }\rightarrow\frac{5000\times N}{2}\text{ dollars }[/tex]
[tex]\Rightarrow2500 N\text{ dollars }[/tex]
Hence, Live Fund will receive [tex]\$2500 N[/tex]
David is shoveling driveways to raise money for his Spring
Break trip. Each driveway he shovels, he earns $15. After shoveling 12 driveways, David has $243 saved for his trip.
Write an equation to represent the amount David has saved as a function of the number of driveways he has shoveled.
Answers
Answer:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
Step-by-step explanation:
Here, the money earned for each road David shovels = $15
The number of driveway shoveled by David = 12
The total money saved David has after he is done with his work = $243
Now, The number of money saved by shoving 12 driveways
= 12 x ( Money earned by shoveling 1 driveway)
= 12 x ( $15) = $ 180
Total savings = His previous savings + Money earned from Shovel work
⇒ $243 = His previous savings + $ 180
⇒ His previous savings = $243 - $180 = $63
Now, we can write his total savings as:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled