Answer:
The solution set is (2,4).
Step-by-step explanation:
Given that:
−2x + 2y =4 Eqn 1
−4x + 8y =24 Eqn 2
Multiplying Eqn 1 by -2
-2(-2x+2y=4)
4x-4y= -8 Eqn 3
Adding Eqn 2 and 3
(-4x+8y)+(4x-4y)=24-8
-4x+8y+4x-4y=16
4y=16
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{16}{4}\\y=4[/tex]
Putting y=4 in Eqn 1
-2x+2(4)=4
-2x+8=4
-2x=4-8
-2x=-4
Dividing both sides by -2
[tex]\frac{-2x}{-2}=\frac{-4}{-2}\\x=2[/tex]
Hence,
The solution set is (2,4).
Baxter Tree Service charges $42 per tree to trim them, and an additional $75.50 to remove the trimmings from the property. His competitor, Barron and Son, charges $37 per tree to trim them but charges $95.50 to remove trimmings. How many trees, t, must be trimmed to make the two companies cost the same amount?
Answer:
[tex]t = 4[/tex]
Step-by-step explanation:
Baxter Tree Service:
Per tree trimming charges = $42
Additional charges for removing the trimmings from the property = $75.50
Number of trees trimmed = [tex]t[/tex]
Total charges = Additional charges + cost of trimming [tex]t[/tex] trees
Total charges = $75.50 + $42[tex]t[/tex]
Barron and Son:
Per tree trimming charges = $37
Additional charges for removing the trimmings from the property = $95.50
Number of trees trimmed = [tex]t[/tex]
Total charges = Additional charges + cost of trimming [tex]t[/tex] trees
Total charges = $95.50 + $37[tex]t[/tex]
Now, the total charges need to be same and we have to find the value of [tex]t[/tex].
[tex]75.50+42t = 95.50+37t\\\Rightarrow 42t-37t=95.50-75.50\\\Rightarrow 5t=20\\\Rightarrow \bold{t =4}[/tex]
[tex]t = 4[/tex] number of trees must be trimmed.
Write a recursive formula for the following arithmetic sequence.
-6, -9, -12, -15, ...
Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3
Step-by-step explanation:
The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.
Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6
Bobby and Gautham each save the same amount of money from each lawn they mow. What must be true for Gautham to have more money than Bobby after they have each mowed 18 lawns?
Answer:
I don't have any favorites. There is a reason for this, i don't read a lot of books but when i do, i usually like a mashup of different types of text styles. I guess i do have a favorite of a mashup. When i do read i usually pick a book that has an argument between different characters, a type of fiction memoir? And autobiography.
This mashup usually leads up to Wonder which is one of my all-time favorites. But there is another one i like and it is Diary of a Wimpy Kid. The only thing about that one is that doesn't have the whole autobiography part.
I like these styles because most of the books that i read have either funny traits or intense traits which, i love both of them.
Step-by-step explanation:
evaluate (log) PLS HELP ASAP!!!! thank you!!! *will give brainliest*
Answer:
-3 ( D )
Step-by-step explanation:
Logarithm base 3 of 1/27 is -3.
Frederick uses his metal detector to search for coins on the beach. He has found both newer and antique coins. He has found 24 newer coins over the past year, witch is 75% of all the coins he has found. What is the total number of coins he has found?
Answer:
32 coin in allStep-by-step explanation:
Step one:
given data
let the total coins be x
we are given that 75% of x= 24
Step two:
Mathematically we have
75/100*x= 24
0.75x=24
divide both sides by 0.75
x=24/0.75
x=32coins
Hence the total coins is 32
1. Find the percent of the given quantity using any method: 40% of 320
Answer:
128
Step-by-step explanation
Turn 40% into a decimal by placing a decimal point 2 places to the left making it 0.40. Then, calculate using 320 multiplied by 0.40 which is 128.
Answer:
the answer is 128.
40% of 320 = 128 :)
Plz help I’m getting timed
Answer:
10
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Answer:
10 meters
Step-by-step explanation:
You can count each unit since each unit equals 1 meter
4. A formula used for calculating velocity is v=1/2at^2
Step-by-step explanation:
You're sure?
But I thought that for calculating distance
branlieeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeest
Answer:
A
You are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)
If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer
D is the same like B
Choice C is just the whole of x-y plane so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2
Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in slope-intercept form, if possible.
Answer:
The equation of the parallel line is
y = 3x + 9
Step-by-step explanation:
The general equation of a straight line is given as;
y = mx + c
where m is the slope and c is the intercept
If two lines are parallel, their slopes are equal
So the slope of the new line too is 3
Using the point-slope formula
y-y1 = m(x-x1)
y-12 = 3(x-1)
y-12 = 3x-3
y = 3x-3 + 12
y = 3x + 9
Mark and his friends order two pizzas of the same size .•The first pizza is cut into 6 slices of equal size .•The second pizza is cut into 4 slices of equal size. Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison by using > or < in you explanation.
Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.
what’s 6/7 - 1/2? also how do i subtract fractions with unlike denominators? you don’t have to answer the 2nd question
6/7 - 1/2 equals 5/14.
Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.
To subtract fractions with unlike denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by following these steps:
Find the LCM of the denominators: In this case, the denominators are 7 and 2. The LCM of 7 and 2 is 14.
Rewrite the fractions with the common denominator: To rewrite 6/7 and 1/2 with a common denominator of 14, you need to multiply both the numerator and denominator of each fraction by a suitable factor. For 6/7, you would multiply both numerator and denominator by 2 to get 12/14. For 1/2, you would multiply both numerator and denominator by 7 to get 7/14.
Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.
Therefore, 6/7 - 1/2 equals 5/14.
For more details of Subtract the fractions:
https://brainly.com/question/5220474
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BRAINLIEST !!! 14. Find the length of the midsegment (NOT X)
88+40
16x
7
Answer:
Step-by-step explanation:
The length of the midsegment is half of the base in this case.
12x = 8x + 40
4x=40
x=10
So it's 60
Answer:
60
Step-by-step explanation:
Write down the inequality described by "half of x is no more than three", and solve for x.
Answer:
Inequality: [tex]\frac{x}{2} \leq 3[/tex]
Solved: [tex]x\leq 6[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} \leq 3[/tex]
[tex]x\leq 6[/tex]
Six increased by 1-3 of a number is 11 . Find the number
Answer:
7 is the answer
Step-by-step explanation:
6 + 1 - 3 of a number = 11
1 - 3 = -2
6 - 2 = 4
so 4 + 7 is 11
Hope it helps!
Expand 4(-2y + 3).
-8y + 12
2y + 7
-8y + 3
2y + 12
Random Math because I'm too lazy time ¯\_(ツ)_/¯
Meg the Stallion placed 8 books on each shelf of a bookcase. If she shelves 32 books. How many shelves are needed?
Answer:
Meg thee Stallion would need to borrow 4 shelves from Cardi B
Answer:
4 shelves
Step-by-step explanation:
you can do 32 divided by 8 which gives you 4 or keep adding 8 until you get 32 and count how many times you had to add.
Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package.
If we want one hot dog for each bun for a picnic, with none left over, what is the least amount of each we need to buy?
How many packages of each item would we have to buy?
Answer:
5 hot dogs packs at least and 4 buns packs at least
Step-by-step explanation:
Josue is at the Falls Church foot football game and wants to buy bags of tacos for his friends and $2 for himself. If each bag of tacos costs $3 and he has $26 to spend, how many bags can he buy?
Is the following a function? Each player’s jersey number paired with their age.
Answer:
Yes it is a function if the jersey numbers are the same as their age and they are all different ages.
Step-by-step explanation:
Can you find the solution Im so confused
2 3 + 6^{2} ÷ 9 i need help with this one
Answer: 7
Step-by-step explanation:
3+6^(2) / 9
3 + 36 / 9
3 + 4
7
There are 12 books on a shelf. 7of these books are new.
(a) What is the ratio of new books to used books?
(b) What is the ratio of all books to used books?
Answer:
(a) 7 : 5
(b) 19 : 5
Hope this helps :)
Answer:
(a) 5:7 ( 5 new to 7 used). (B) 12:7 (12 books to 7 used ones). You are welcome :)
Step-by-step explanation:
What does x = answer choices
4
16
9
Answer:
16
Step-by-step explanation:
x=16 because the Sides length and the degrees of the angle colide and show that x=16
Find the equivalent equation that does not contain fractions 2/3 x 7=1/2
Answer:
[tex]4x + 42 = 3[/tex]
Step-by-step explanation:
Given:
[tex]\frac{2}{3}x + 7 = \frac{1}{2}[/tex]
Required
Equivalent expression without fraction
To do this, we simply multiply through by a common multiple of the denominators in the expression.
The denominators are 2 and 3
[tex]2 = 2,4,6,8,10,..[/tex]
[tex]3 = 3,6,9,12..[/tex]
So, 6 is the least common multiple.
Multiply both sides by 6
[tex]6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6[/tex]
[tex]6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6[/tex]
[tex]\frac{12}{3}x + 42 = \frac{6}{2}[/tex]
[tex]4x + 42 = 3[/tex]
Hence, an equivalent expression.
I NEED HELP!!!!
A sports team has won 21 out of the 40 games it has played. About what percent of games has the team won?
Answer:
About 50% percent
Step-by-step explanation:
20 is 50 percent of 40, so 21 is about 50 percent (52.5 %)
~theLocoCoco
Answer:
52.5%
Step-by-step explanation:
21/40 = 52.5/100
52.5/100= 52.5%
im not sure but you can try :<
Luke cut down a tree that was 25.8 feet tall. Then he cut the tree into 6 equal pieces to take it away.
What is the length of each piece?
Answer:
the length of each piece is 4.8 feet
Step-by-step explanation:
To find the possibilities of side lengths for the third side of the triangle, I must subtract the two sides to find the higher range and I must add the two sides to find the lower range.
True
False
Answer:
false
Step-by-step explanation:
I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.
I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.
can someone please help me
Answer:
see explanation
Step-by-step explanation:
(a)
9n = [tex]\frac{15}{7}[/tex] - 2 ( multiply through by 7 to clear the fraction )
63n = 15 - 14 = 1 ( divide both sides by 63 )
n = [tex]\frac{1}{63}[/tex]
(b)
[tex]\frac{1}{3}[/tex] = k - 4 ( multiply through by 3 to clear the fraction )
1 = 3k - 12 ( add 12 to both sides )
13 = 3k ( divide both sides by 3 )
[tex]\frac{13}{3}[/tex] = k
(c)
g - [tex]\frac{2}{5}[/tex] g = 3 ( multiply through by 5 to clear the fraction )
5g - 2g = 15
3g = 15 ( divide both sides by 3 )
g = 5
(d)
[tex]\frac{3}{7}[/tex] w + 2w = 3 ( multiply through by 7 to clear the fraction )
3w + 14w = 21
17w = 21 ( divide both sides by 17 )
w = [tex]\frac{21}{17}[/tex]
Given f(x) = x^2 + 1 with domain: {-2, -1, 0, 1, 3}. What is the range, R?
a) {-1, -2, 0, 1, 3}
b) {4, 1, 0, 1, 9}
c) {5, 2, 1, 2, 10}
d) {3, 0, -1, 0, 8}