Answers
Answer:
(4,4)
Step-by-step explanation:
We can solve this system of equations using the elimination method.
In order to use the elimination method there must be two variables with the same coefficient. Note that the coefficients don't have to have the same sign ( eg. 6 and -6 would work ). If there are two similar variables with similar coefficients then you can add or subtract, depending on the signs of the coefficients, the two equations "eliminating" the variable. There would then be one variable left over in which you can solve for.
For this case, both equations have 7x, one negative 7 and one positive 7. When the signs are different you add the two equations. So our first step is to add the two equations
7x - 4y = -44
+ (-7x -3y = 16 )
-----------------------
Remove parenthesis
7x -4y = -44
-7x -3y = +16
------------------
0x - 7y = -28
We are left with -7y = -28.
Because there is now only one variable, we can solve for it.
-7y = -28
divide both sides by -7
y = 4
Now we want to find the value of x. We can do this by plugging in the value of y into one of the equations and then solving for x. Note that we can plug in 4 for y into either equation and solve for x and we would get the same answer.
7x - 3y = 16
y = 4
7x - 3(4) = 16
multiply 4 and -3
7x - 12 = 16
add 12 to both sides
7x = 28
divide both sides by 7
x = 4
So x = 4 and y = 4 so the solution to the system of equations is (4,4)
Related Questions
The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.
Answers
Answer:he correct answers are 10.9 feet and 392.4 square feet.
Step-by-Step explanation:
Answer:
Apothem is 10.9 feet
Area of the gazebo is 392.4 feet
Step-by-step explanation:
Edge
At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.
Answers
Step-by-step explanation:
168/3 = 56
so 112 sodas
56 hotdogs
Andrew earns $15.75 per hour at his job. If he worked 42 hours last week, how much did he earn?
Answers
Explanation: multiply $15.75 by 42 then you get the money you made for the whole week.
How would you write the following expression as a sum or difference?
Answers
Answer:
B
Step-by-step explanation:
Look at the expression inside the log( ). Work from the outside in, so to speak. First, there's a quotient (the cube root divided by 3x).
[tex]\log \left( \frac{\sqrt[3]{2-x}}{3x} \right) = \log\left(\sqrt[3]{2-x}}\right) - \log{3x}[/tex]
The cube root can be written using a rational exponent.
[tex]\log\left(\sqrt[3]{2-x}}\right) - \log{3x} = \log \left( (2-x)^{1/3} \right) - \log{3x}[/tex]
Use the exponent property to move the exponent 1/3 out.
[tex]\log (2-x)^{1/3} - \log{3x} = \frac{1}{3} \log{(2-x)} - \log{3x}[/tex]
This now matches answer choice B.
ASAP HELP WILL MAKE BRAINLEST 80 POINTS
Answers
Factor 5x^10−80x^2
5x^10−80x^2
=5x^2(x^4+4)(x^2+2)(x^2−2)
Answer:
5x^2(x^4+4)(x^2+2)(x^2−2)
5x^2(x^4+4)(x^2+2)(x^2−2)
Factor 5x^10−80x^2
5x^10−80x^2
=5x^2(x^4+4)(x^2+2)(x^2−2)
help . This is rise and run .
Answers
Answer:
Rise 4 and runs -10
Step-by-step explanation:
So the slope is 4/-10
A farmer harvests 850kg of parsnips.30% go to the local market and 50% go to a local supermarket.What mass of parsnips are left?
Answers
Answer:
170 kg. of parsnips are left
Step-by-step explanation:
Given:
850 kg. of parsnips
30 % to the local market
50 % to a local supermarket
Solution:
First, add the two percentages.
30 + 50 = 80%
That means 80 % of parsnips mass go to the markets.
Now let's find the mass of delivered parsnips.
Change 80% to decimal form.
80% = 0.8
Now multiply it by 850 kg.
850 x 0.8 = 680
The delivered parsnips mass is 680 kg.
Now to find the mass of parsnips left, subtract 680 to 850
850 - 680 = 170 kg.
170kg. of parsnips are left.
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
B. No, because it is not a straight line.
C. Yes, because it is a curved line.
D. Yes, because it passes the vertical line test.
Answers
Answer:
A. No, because it fails the vertical line test.
Step-by-step explanation:
A because is dosent pass the vertical line test
The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
Answers
Answer:
68.54 dollars is you answer you would do 63 times .088 and add 63 to your answer
Step-by-step explanation:
Winston’s owner increased the amount of dog food he eats every day from 40 grams to 48 grams. By what percentage did Winston increase the amount of dog food he eats?
Answers
Answer:
the answer is 20% increase I used a calculator but you should be able to do that math by taking 40 dividing by five where that ends up being 8 that is 20 percent of 40 so adding that back to the original amount is a 20 percent increase hope this helps
Step-by-step explanation:
f(x)={x+4….
for f(x)
Answers
Answer:
3f=5
Step-by-step explanation:
f(x) = x+4
3f=4x
x<5
5<_x<7
7<_x<_10
2x+3y=15
x+y=6
work out the values of x and y.
Answers
Answer:
Step-by-step explanation:
Elimination sounds the easiest for y:
[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]
Now we got one value, let's replace in one of the two and find the second
[tex]II: x+(3)=6 \rightarrow x=3[/tex]
Answer:
[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]
find the measure of angle 1 and angle 2. justify your answer
Answers
Answer:
∠ 1 = 95° , ∠ 2 = 130°
Step-by-step explanation:
∠ 1 = 95° ( alternate angles )
∠ 2 and 50° are same- side interior angles and sum to 180°
∠ 2 + 50° = 180° ( subtract 50° from both sides )
∠ 2 = 130° ( same- side interior angle )
Find the pair of integers that has a product of –12 and a sum of 1.
Answers
Answer:
X = -4, Y = 3
Step-by-step explanation:
x * y = -12
x + y = 1
X = 4, Y = -3
NO TIME TO EXPLAIN
5/12 divided by 3 in fractions
Answers
Answer:
5/36
Step-by-step explanation:
First you need to find the "reciprocal" (the opposite, so the numbers switched around) of the second number, which is 3. In turn, the 3 would become 1/3. Then just multiply the two fractions which is 5/12 x 1/3 = 5/36.
Answer:
5/12 ÷3
Reciprocate
5/12× 1/3
=5/36
Cuál es grado absoluto de
3x²yz²/4
Answers
Answer:
i dont speak espanish puto
Step-by-step explanation:
Can someone pls help me pls!
Answers
Answer:
refer to the picture attached for steps
If triangle he an area of 36 and a height of 12 calculate the length of the base.
Answers
Answer:
Below.
Step-by-step explanation:
A = 1/2bh for a triangle.
36 = 1/2b(12)
36 = 6b
---- ----
6 6
b = 6
(6x + 7) + (13x + 21) = 180
x =
Answers
Answer:
Step-by-step explanation:
x=4
Given $P(10,12)$ and $Q(20,36)$, find the coordinates of a point whose distance from both $P$ and $Q$ is exactly $13.$
Answers
The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;
Distance, PQ = √(20-10)² + (36-12)²PQ = √(100+576)PQ = √676PQ = 26.Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.
Therefore,
x = (20 + 10)/2x = 15y = (36 + 12)/2y = 24.The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
Read more:
https://brainly.com/question/18049211
how many 3/8´s are in 6
Answers
Dhdhdhdvdudhdvdbd
Jared got 15.00 from his mom. He all ready had some money in his pocket. He then bought a dvd for 12.95 Write an expression on how much Jared has left
Answers
Answer:
$15.00 - $12.95 = $2.05
Step-by-step explanation:
Jared has $2.05 left
Select the correct answer.
Which two ratios are NOT equal?
A.
1 : 6 and 3 : 18
B.
2: 14 and 3: 42
C.
12: 6 and 2: 1
D.
3: 11 and 6: 22
Answers
Answer:
B
Step-by-step explanation:
Equal ratios can be found by multiplying/ dividing the parts by the same value.
A
1 : 6 ( multiply both parts by 3 )
= 3 : 18 ← equal ratios
B
2 : 14 ( multiply both sides by 3 )
= 6 : 42 ≠ 3 : 42 ← ratios not equal
C
12 : 6 ( divide both parts by 6 )
= 2 : 1 ← equal ratios
D
3 : 11 ( multiply both parts by 2 )
= 6 : 22 ← equal ratios
{(3,5),(-2,1),(4,3),(-1,4)} is each of these relation's a function?
Answers
Answer:
It is not a function.
Step-by-step explanation:
{(3,5),(-2,1),(4,3),(-1,4)}
A function is a special type of relation. In a function, no two ordered pairs have the same first component.
This relation has two 4s.
3 (x-1)=3x-×-3-3+x+3
True or false
Answers
true
Step-by-step explanation:
Answer:
3x-3
Step-by-step explanation:
So false if you Multiply
Today, Ravi burned 1005.7 calories while exercising. Yesterday, he burned 138 calories. How many more calories did Ravi burn today than yesterday?
Answers
Answer:
Ravi burned 867.7 more calories today than he did yesterday.
Step-by-step explanation:
To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.
To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.
PLEASE HELP IM GONNA CRY LOL
An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
Answers
Answer:
x = 33°
Step-by-step explanation:
x = angle
a complement of an angle =(90-x)
x = (90-x) - 24
x = 90 - x - 24
x = 66 -x
2x = 66
x = 33
Drake is an online sales representitve who makes $37,500 per year plus 6.75 for each fee sales he makes. if drake makes an avarage of 200 sales per month what are his annaual earnings?
Answers
Answer:
no hes not hes a rapper..........Jk the answer is 53700
Step-by-step explanation:
Step-by-step explanation:
1,350 a month
16,200 a year
What operations are defined for these matrices?
The answer choices are M+N, N-Q, Q+L, M-P. Please help I really don’t know.
Answers
Step-by-step explanation:
if you are looking for the matrix or matrices then
L=2x2
p=2x2
q=2x1
m=4x2
n=4x2
This is cause the formula to get these is RxC or R=rows and C=columns
(i hope this is it, if not comment and lemme know)
Find two consecutive odd integers such that thrice the smaller is 92 more than the larger
Nonsense Answer = Report
Innocent Answer but no Answer = Report
Answer with Solution = Heart, 5 Star, and Brainliest
Answers
Answer:
A = 47
B = 49
Step-by-step explanation:
Let the two consecutive odd integers be A and B
We know that B = A + 2, and that A is odd.
We are also told that
3A - 92= B
Use this last expression for B in the first equation:
B = A + 2
3A - 92 = A + 2
2A = 94
A = 47
B must therefore be 47 + 2 = 49
Check:
1) A + 2 = B? YES
2) 3A - 92= B?
3*47 - 92 = 49?
141 - 92 = 49 YES
3) Are they both odd consecutive integers? YES
A = 47
B = 49