Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!
Answer:
8. 9.1
9. 12.2
Step-by-step explanation:
8. let x represent the missing side:
Using pythagoras theorem;
13.3² = x² + 9.7²
x² = 13.3² - 9.7²
x² = 82.8 taking the square root of both sides;
x = 9.1
9. let y represent the missing side:
Using pythagoras theorem;
y² = 10² + 7²
y² = 149 taking the square root of both sides;
y = 12.2
Simplify the following expression:
3x (7x-4)-(x-8)
Answer:
=21x2−13x+8
Step-by-step explanation:
=3x(7x−4)+−1(x−8)
=3x(7x−4)+−1x+(−1)(−8)
=3x(7x−4)+−x+8
Distribute:
=(3x)(7x)+(3x)(−4)+−x+8
=21x2+−12x+−x+8
Combine Like Terms:
=21x2+−12x+−x+8
=(21x2)+(−12x+−x)+(8)
=21x2+−13x+8
Answer:
[tex]=21x^{2} -13x+8[/tex]
Step-by-step explanation:
PLEASE HELP PLS
Which of the following lineat functions have a rate of change that is greater than 14?
Answer
The third table has a gradient of 20, so third table is one of them.
The other one is the last case, For an hour, Fahim earning $1010 so that is the rate per hour.
Step-by-step explanation:
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:
All students in the 6th grade either purchased their
lunch or brought their lunch from home on Monday.
• 24% of the students purchased their lunch.
• 190 students brought their lunch from home.
How many students are in the 6th grade?
Answer:250
Step-by-step explanation:
What is the first step in solving the following system of equations?
3 x + y = 23.
8 x + 2 y = 23.
Answer:
Solve the first equation for y
Step-by-step explanation:
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
Show your work please
Answer:B
Explanation Samuel earn per hour = 5 hrs
Commission = 65%
Samuel total earning for a day = 6 hrs
Now,
5(65)+6y
17 times 0.0167. Can someone solve this step by step
Answer:
0.2839
Step-by-step explanation:
Can you tell me what part you are stuck on?
Answer:
0.2839
Step-by-step explanation:
-First, move the decimal over 4 places to the right to make 0.0167 into a whole number, which will turn into 167.
-Now, multiply 17 times 167 to get 2839.
-Finally, since the decimal from 0.0167 was moved 4 places to the right, it needs to be moved back 4 places to the left. Once it was moved back 4 places to the left, the answer should now be 0.2839
Hope this helps! :)
how do you find the interior angle in a heptagon
Answer:
A heptagon has 7 sides, so we take the hexagon's sum of the interior angles and add 180 to it getting us, 720+180= 900 degrees
Step-by-step explanation:
The formula for calculating the sum of the interior angles of a regular polygon is: (n-2) x 180 degrees. N is the number of sides
6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!
let's say jennifer's  Job is to make sure each box weighs four KG and is placed on a pallet 2 m away every nine seconds. How much work did Jennifer perform??
Which of these statements correctly compares the graphed function f(x) to the function g(x)= x/2+5
Answer:
I’m pretty sure it’s B
Step-by-step explanation:
Answer:
C (the rate of change of f(x) is -1/2 and g(x) if 1/2
Step-by-step explanation:
i cant be 100% sure so take this with a grain of salt but if x was 1, f(x)'s rate of change (another word for slope) would be -1/2 whilst g(x)'s slope would be 1/2.
help for brainliest plsssssssssssssssssssssssssssssssssss
Answer:
32 canned goods per tub. There was one can left over.
Step-by-step explanation:
Answer:
32 in each tub with 1 left over I'm pretty sure
Step-by-step explanation:
think about how many times 5 can 161, then see what the number left over is. In this case, 5 can go into 161, 32 times with 1 left over
Find the unit rate: 180 miles in 3 hours
Answer:
60/1 or 60
Step-by-step explanation:
Divide 180 by 3
60
So the unit rate is 60/1
Answer:
60 miles per hour
Step-by-step explanation:
The unit rate is the number of miles traveled per hour. To solve this divide the total miles traveled by number of hours, 180/3. The quotient is 60.
Which of the following is equal to log24
Answer:
Step-by-step explanation:
Put a picture
A lion needs to eat at least 15 pounds of food each day. The zoo feeds the lion using canisters that each contain 3 pounds of food. The lion has already consumed 9 pounds of food. How many more canisters x of food does the lion need to eat? Write your answer as an inequality.
Answer:
15 lbs total
1 canister - 3 lbs
lion has already consumed 9 pounds, "3 x 3 canisters of food"
15 - 9 = 6
6/3 = 2
the person needs to feed the lion 2 more canister
ANSWER IS 2
Step-by-step explanation:
Multiply.
(x−5)(3x+6)
Express the answer in standard form.
Answer:
[tex]3x^{2} -9x-30[/tex]
Step-by-step explanation:
(x - 5)(3x + 6)
[tex]3x^{2} +6x-15x-30\\3x^{2} -9x-30[/tex]
Answer:
3x² - 9x - 30
General Formulas and Concepts:
Algebra I
Expand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
(x - 5)(3x + 6)
Step 2: Expand
Expand [FOIL]: 3x² + 6x - 15x - 30Combine like terms: 3x² - 9x - 30r=11+8r=29 Please Helpppp me
What method are you using to solve this problem? Simplify, solve ? I need to know so I can help you out.
please answer my question
Answer:
dogs and birds..........
Find the value of x.
A. 20
B. 17
C. 22
D. 15
Answer:
The value if x is 20
Step-by-step explanation:
Hope this helps :)
The value of the variable x is 20. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
If the two chords of the circle intersect at a point, then the product of the segments of the chord will be equal.
We know that the product of (x - 5) & (x - 8) and (x - 5) & (x) will be equal. Then we have
(x - 5) · (x - 8) = (x - 11) · x
Simplify the equation, then the value of the variable x will be
(x - 5) · (x - 8) = (x - 11) · x
x² - 13x + 40 = x² - 11x
2x = 40
x = 20
Thus, the value of the variable x is 20.
Then the correct option is A.
More about the circle link is given below.
brainly.com/question/11833983
#SPJ5
can someone help, please! also i'm giving brainliest
2 = Distributive Property (you are distributing the -5 to the x and the -6)
1 = Given (its the original equation)
3 = Addition Property of Equality (you add 5x to both sides)
4 = Division Property of Equality (you divide both sides by 15)
Find the diagonal of the box using the Pythagorean Theorem.
Answer:640^2
Step-by-step explanation:
The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared. You might recognize this theorem in the form of the Pythagorean equation: a 2 + b 2 = c 2.
8cm^2+24cm^2=640^2
The Sanchez family goes to dinner, and the price of the meal was $60. The sales
tax on the meal is 7%, and they also want to leave a 15% tip. What is the total
cost of the meal?
Answer:
89.7
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
ignore the one i marked
Answer:
im almost postive the one you marked is correct
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
When you elevate by 3 you get:
[tex]\sqrt[3]{g}^{3} = g[/tex]
Hope this helps, have a good day
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).
Answer:
1/2,5
Step-by-step explanation:
Answer:
1/2 5
Step-by-step explanation:
just got it right on edge
can someone check these and tell me which ones are in the wrong column, thanks
Answer:
∠2 and ∠5 should not be Alternate exterior angles. ∠2 and ∠11 can be Alternate exterior angles if that is an option. The rest is correct. As for consecutive interior angles, you have (∠3 and ∠9), (∠4 and ∠10), (∠7 and ∠13) and (∠8 and ∠14).
Step-by-step explanation:
Alternate exterior angles are basically like the angles that are the combination of a vertically opposite angle and a corresponding angle. Since the vertical lines are not parallel, ∠2 and ∠5 cannot be Alternate exterior angles.
Consecutive interior angles are any pair of angles that are within a pair of parallel lines and add up to 180°.
i need help asap please!
Answer:
option 2 is the best answer
Step-by-step explanation:
I actually couldn't tell you 100% how i got this answer, but i narrowed it down to option 2 and option 3 because those ones have the inequality sign facing the correct way, and then I solved the inequalities to see which one made more sense, and option 3 came out as negative and you can't have a negative cost on something, so option 2 is the best answer.
The expression x + 0.25x can be used to determine a 25% increase in the number of blog views from last month to this month. What expression shows this another way?
Answer:
1.25x
Step-by-step explanation:
Given that :
25% Increase in number of blog views can be expressed as (x + 0.25x)
Another way to make this representation is :
Total number of blog views + 25% of total
Total should add up to 100%
Let number of views = x
Hence,
(100% + 25%) of x
125% of x
125%x
= 1.25x
If x is 5, then 6x=??
Answer:
30
Step-by-step explanation:
since x=5, and it's 6x, it'd be the same as 5x6, or 6(5).
Answer:
I think it should equal 30
Step-by-step explanation:
If x is 5 it would be 6(5) so you multiply 6 and 5 which equals 30
(sorry if i'm wrong)
Pascal reaches -12 meters only 3 seconds after passing 0. At what rate
does he run?
Answer:
About 30 m/s
Step-by-step explanation: