Solve the system of linear equations by elimination. Check your solutions.
-5x + 3y = -6
9x - 4y = 1
We can divide both sides of the equation by 43 to solve for x:
90x / 43 - 47y / 43 = -49 / 43
x = -49/43
We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:
-5x + 3y = -6
(-5 * -49/43) + 3y = -6
y = (-6 + 5 * 49/43) / 3
y = 17/43
The solution to the system of equations is (x, y) = (-49/43, 17/43).
To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.
In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:
(-5 * -49/43) + (3 * 17/43) = -6
This simplifies to -6 = -6, which is true, so the solution holds for this equation.
In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:
(9 * -49/43) - (4 * 17/43) = 1
This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.
Therefore, the solution (x, y) = (-49/43, 17/43) is correct.
Please help me I will give brainliest
First dropdown positive , negative
Second dropdown real , non-real
Third dropdown in the image
Pick THREE answers
ONE FROM EACH DROP DOWN
Plz help will be marked BRAINLIEST
And thanks !
Which data set could represent the scores shown in the histogram?
Answer:
Step-by-step explanation:
B, because judging the graph it looks like the numbers are the closest to the data shown.
Find the missing length. Round to the nearest tenth, if necessary.
Keith has $20 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = P(1 + r)t
Step-by-step explanation:
account balance, to the nearest cent, after: Year 1? Year 2? Year 3? Year 4? ... -To calculate compound interest we use the formula below where A = total balance after t years, P = principal amount (amount borrowed or invested), r = interest ... annually. a) How much money will Jack have after 1 year? b) How much money ...
Answer:
$6.62 interest
Step-by-step explanation:
B = p(1 + r)^t
= 20(1 + 0.10)^3
= 20 * (1.10)^3
= $26.62
Simplify |-33|
A.
0
B.
-33
C.
1
D.
33
Answer:
D. 33 will be your answer
Step-by-step explanation:
hope it helps...
Answer:
D. 33
Step-by-step explanation:
The two lines closing -33 in are the absolute value lines. Absolute value means how far is that number from 0. Since distance HAS to be positive, the answer is always the number inside the two lines, but positive. No matter if it starts off as negative or positive.
Can you please help me out
Answer:
it would be 61 tiles i think
Step-by-step explanation:
How do I add a percentage (%) tip to a total of a bill? (Ex - Total : 3.00 with a %18 tip)
To calculate a gratuity or tip on any calculator it is a simple multiplication. In general, the tip amount is the cost times 0.xx and your total including tip, is the cost times 1.xx where xx = the percent you want to leave. If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Let's say you and a friend had dinner that cost $26.50. You had good service and want to leave an 18% gratuity. Put the percentage in decimal form (0.18) then multiply the cost by this number.
26.50 * 0.18 = 4.77. So your tip is $4.77.
An easy way to get the total amount, dinner plus tip, is to multiply the total by 1.18. 26.50 * 1.18 = 31.27. This works mathematically because you want to know your original cost plus the tip which is written as 26.50 + (26.50 * 0.18) = ? Factoring out the 26.50 from this equation you get 26.50 * (1 + 0.18) = 26.50 * 1.18.
How to calculate a tip in your head
You can get a good approximation of a tip by doing it in your head this way.
You can find 10% of your bill by moving the decimal one place to the left. If 26.50 is 100% then 10% is 2.65. Since 20% is 2 times 10%, 20% of the bill is 2.65 + 2.65 = 5.30. Now you know the tip you could leave ranging from poor to good, $2.65 to $5.30. To find 15%, halfway in between, we know 15% is 10% plus 1/2 of 10% (5%). 2.65 plus about 1.30 is 3.95.
Now you have
10% is 2.65 - by moving decimal 1 place left
15% is 3.95 - 10% + 1/2 of 10%
20% is 5.30 - 10% * 2
This is plenty of information to make a good guess at the tip amount you should leave. If you decide on about 18%, 4.50 to 5.00 would be a safe guess.
Hope this helps!!! Please mark Brainliest because no matter what you are the Brainliest of all!
Answer:
put to percentage as a decimal (ex. 0.18) then you add that to the total amount
Elsa is painting his bedroom walls. Each wall requires \large 1\frac{1}{3}gallons of paint. He has \large 2\frac{1}{4} walls left to paint. How many gallons of paint will he need?
The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 8.7 inches and the length of each side is 10 inches.
A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 10 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 8.7 inches.
Part A: Describe how you can decompose this shape into triangles. (2 points)
Part B: What would be the area of each triangle? Show every step of your work. (5 points)
Part C: Using your answers above, determine the area of the table's surface. Show every step of your work. (3 points)
Please answer Part A, Part B, And Part C! Will give brainliest
Answer:I believe the answer is Part B:What would be the area of each triangle? Show every step of your work.
A restaurant customer left $1.40 as a tip. The tax was 5% and the tip was 20% of the cost including tax. a. Which information is not needed to compute the bill after tax and tip? b. What was the total bill?
Answer:
Step-by-step explanation:
(10 x 100) x = 0.70. (10÷ 10) 100 ÷ 10. = 1/10 x = 0.70. X 0.70 x 10. X= 7.00
A cylinder with volume of 143^3 cm has 3 spheres inside. Each sphere has a radius of 2cm. What is the volume in the cylinder not taken up with spheres (blank space)?
Please provide the equation and steps you used!
Answer:Equation: V = πr^2h
Steps:
1. Calculate the volume of each sphere: V = 4/3πr^3 = 4/3π(2cm)^3 = 33.51 cm^3
2. Calculate the total volume of the 3 spheres: 3 x 33.51 cm^3 = 100.53 cm^3
3. Calculate the volume of the cylinder not taken up with spheres: 143^3 cm^3 - 100.53 cm^3 = 42.47 cm^3
Step-by-step explanation:
pls mark brainliest if its correct !!
What is the mean of the data? Hours of TV Watched on Saturdays X Х XX 4 5 6 7 Hours 5.5 7 4 9
Answer: 5.9375
Step-by-step explanation:
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 47.5 / 8
= 5.9375
Can somebody please help me. All you have to do is write an equation for a problem and answer questions about it! (I will give brainliest to whoever can answer it!)
A store pays $275 for a table and marks the price up by 50%. What is the amount of the mark-up ?
Answer:
$387.50
Step-by-step explanation:
You can get the answer 2 different ways. First you could take $275/2 = $137.50
Or
$275*0.50 = 137.50
add $275+137.50 =$387.50
how can you find the vertex of a parabola if you know it's focus and directrix? in my equation, the focus is (6,4) and the directrix is y=-2
Answer:
The vertex would be (6,1)
Step-by-step explanation:
The vertex is the midway between the focus and the directrix. The X of the vertex would be the same but to get the Y of the vertex you would need to take the average of the Y values. (6, 4 + (-2)/2) (6,1)
Two of the vertices of a rectangle are plotted on the coordinate grid below.
Option A is the correct answer.
Which formulas can you use to calculate the volume of a rectangular prism? Check all that apply.
V = one-half b h
V = 2l + 2w
V = Bh
V = lw
V = lwh
V = s2
A color printer prints 23 pages in 9 minutes. How many pages does it print per minute? Round to the nearest hundredth. No links
Answer:
2.56
Step-by-step explanation:
To find out how many pages the printer prints per minute, you need to divide the amount of pages it printed with how long it printed.
So 23÷9
Which equals 2.55555555-
Round 2.5555555 to the nearest hundredth you get 2.56.
Please help me fast!
Illl give brainly
Answer:
2,050 = 2.05L and 2,050mL
7,002 = 7.002L and 7,001mL
10,050 = 10.05L and 10,050mL
Step-by-step explanation:
Answer:
2,050 = 2.05L and 2,050mL
7,002 = 7.002L and 7,001mL
10,050 = 10.05L and 10,050mL
Step-by-step explanation:
The box plot below represents some data set. What is the interquartile range (IQR) of the data?
Answer:
16
Step-by-step explanation:
36-20=16
Your welcome
Select all ratios equivalent to 20:4 A. 8:1 B. 10:2 C. 15:3
Answer:
b 10:2 ,, c 15:3
Step-by-step explanation:
20:4 by dividing 4 from both sides you get the ratio
5 :1
so simplify the other ratios and find one that equals this one
A is already in simplest form 8:1
so it's refused
B 10:2 by dividing 2 from both sides you get the ratio 5 :1
C 15:3 by dividing 3 from both sides you get the ratio 5 :1
so both B and C are correct answers
Hope this helped! :)
The base of a rectangular pyramid has dimensions 3 feet by 9 feet. The height of the pyramid is 11 feet.
What is the volume of the rectangular pyramid in cubic feet? Answer below, no units.
Answer:
99
Step-by-step explanation:
1. rectangular pyramid formula:
2. V=lwh/3
3. 99 = (3)(9)(11)/3
A pentagonal pyramid holds 30 cubic cm of sand. The area of the pentagon equals 9 square cm. Find the pyramid's height.
Answer:
it should be 3.3 if rounded
Step-by-step explanation:
Only answer if you know the correct answer! Thanks! :)
Answer:
(21, 7)
because the x axis is the number of minutes and the y axis is the x axis divided by 3
What is
(n+8) + (n−12)
Answer:
2n - 4.
Step-by-step explanation:
(n+8) + (n−12)
= n + 8 + n - 12
= n + n + 8 - 12
= 2n - 4.
Answer:
2n-4
Step-by-step explanation:
add like terms. n+n=2n 8+-12=-4
2n-4
Determine the constant of proportionality in the situation below.
Every bag of peanuts costs $3.55
pls answer this serously thx.
pleassse Help thanksss
Answer:
365 dollars
Step-by-step explanation:
can anyone help me out with this?
Answer:
Q1-4 = Solutions are found in attachment; Q5 = 24; Q6 = 8; Q7 = 7; Q8 = 3; Q9 = 45; Q10 = 24; Q11 = 15; Q12 = 18; Q13 = 3, 6, 9, 12, 15; Q14 = 7, 14, 21, 28, 35; Q15 = 8, 16, 24, 32, 40
Step-by-step explanation:
Solution for 1 to 4 are shown in the graph in the attachment.
Bold = Answer
Equivalent fractions
5.
6/8 = x/32
32/8 = 4
x = 6 * 4 = 24
6.
4/6 = x/12
12/6 = 2
x = 4 * 2 = 8
7.
1/8 = x/56
56/8 = 7
x = 1 * 7 = 7
8.
9/12 = x/4
12/4 = 3
x = 9/3 = 3
9.
5/9 = 25/x
25 / 5 = 5
x = 9 * 5 = 45
10.
5/6 = 20/x
20 / 5 = 4
x = 6 * 4 = 24
11.
36/45 = 12/x
36/12 = 3
x = 45 / 3 = 15
12.
20/36 = 10/x
20/10 = 2
x = 36/2 = 18
Multiples
13.
3 * 1 = 3
3 * 2 = 6
3 * 3 = 9
3 * 4 = 12
3 * 5 = 15
3, 6, 9, 12, 15
14.
7 * 1 = 7
7 * 2 = 14
7 * 3 = 21
7 * 4 = 28
7 * 5 = 35
7, 14, 21, 28, 35
15.
8 * 1 = 8
8 * 2 = 16
8 * 3 = 24
8 * 4 = 32
8 * 5 = 40
8, 16, 24, 32, 40