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]
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
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:
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
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:
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
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:
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)
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??
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°.
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
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
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
Which of the following is equal to log24
Answer:
Step-by-step explanation:
Put a picture
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.
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 - 30Follow 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
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.
please answer my question
Answer:
dogs and birds..........
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.
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:
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)
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:
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:
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! :)
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:
r=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.
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
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!!