Find the solution of the system of equations.
5x+y=-19
5x-4y=-24
The solution of the system of equations are x = -4 and y=1.
How to solve system of equations?
Look at substitution and elimination as two methods for algebraically solving systems of linear equations.To better comprehend when systems of linear equations have one solution, no solutions, or infinitely many solutions, let's look at systems of linear equations graphically.Investigate algebraic techniques for counting the number of solutions to systems involving two linear equations.5x+y=-19 -- (i)
5x-4y=-24 ---(ii)
Subtract the above two equations:
5y = 5
y = 1
Substitute y=1 in equation (ii)
5x - 4(1) = -24
5x = -20
x = -4
Hence, the solution of the system of equations are x = -4 and y=1.
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The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
relate time, speed, distance.
Answer:
8mph
Step-by-step explanation:
I just answered the question
A cylindrical fuel storage tank has a diameter of 19 feet. Determine the capacity of the tank, if its height is 34 feet. (use I = 3.14)
Answer:
Capacity = 9.63509
Step-by-step explanation:
V = πr²h
9.5 x 9.5 x 3.14 = 283.385
283.385 x 34 = 9,635.09
9,635.09 ÷ 1,000 = 9.63509
Please let me know if this helps.
What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?
Answer:
Take whatever amount of miles Sammy and Tanya drive and add them
Step-by-step explanation:
I don't have many numbers to work with so my equations are:
14 x (1 day of driving miles amount) = a
A x 2 = your answer
Select the correct answer.
The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?
A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet
Reset
Answer:
Is there an image? I cant figure it out without the image
Step-by-step explanation:
Please help I kind of understand but not fully
Answer:
Graph #1 - y=-20x+40
Graph #2 - y=5x+10
Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use
M = y2-y1/x2-x1FROM GRAPH #1:
(3,40) (2,80)(x1,y1) (x2,y2)
80-40/2-3
20/-1
M = -20
FROM GRAPH #2:
(1,10) (3,20)(x1,y1) (x2,y2)
20-10/3-1
10/2
M = 5
2. Now once you find the slope you will use the equation of a line formula to form an equation.
y=mx+bThe (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)
3. Since we now know the equation of a line and the slope we will substitute the variables.
Graph #1:
y=mx+b
y=-20x+40
Graph #2:
y=mx+b
y=5x+10
HOPE THIS HELPS :)Please help I’m really struggling!!!!!
9514 1404 393
Answer:
A. x = {nπ, π/4 +nπ}
Step-by-step explanation:
The zero product rule tells you the solutions are found where the factors are zero:
tan(x) = 0 ⇒ x = nπ
tan(x) -1 = 0 ⇒ x = arctan(1) +nπ = π/4 +nπ
_____
When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.
Can anyone tell me what the answer please
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
Subtract 20 from both sides:
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
Subtract 3x from both sides:
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
help me please I will mark 5 stars please it is urgent
Answer:
a) 3sec
b) highest point of 50
c) at 0 by 8 sec
Brainliest for correct answer
Answer:
V =1884 in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 10) ^2 * 6
V = pi ( 600) in^3
Using 3.14 for pi
V = 3.14 * 600 in ^3
V =1884 in ^3
Serena forms a random sample of 200 seventh graders from her school to learn which type of school lunch they most prefer. The results of her survey are shown below.
Food Type Chicken Nuggets Tacos Spaghetti
Number of students 87 86 27
Which is the best inference you can form based on the data? (3 points)
a
Chicken nuggets and tacos were almost liked the same amount
b
Tacos are twice as popular as spaghetti.
c
Chicken nuggets is twice as popular as spaghetti.
d
Tacos were the students' top choice
Answer:
a
Step-by-step explanation:
86 and 87 are similar. Also none of the other answers are correct
ILL GIVE YOU BRAINLIEST PLEASE ANSWER
g Radio and television stations often air controversial issues during broadcast time and ask listeners and viewers to indicate their agreement or disagreement with a given stand on the issue. A poll is conducted by asking those listeners and viewers who agree to call a certain 900 telephone number and those listeners and viewers who disagree to call a second 900 telephone number. All respondents pay a fee for their calls. Does this polling technique result in a random sample
Answer:
NO, it does not.
Step-by-step explanation:
From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.
This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.
(Please answer this asap)
Mia has a circular garden that she wants to put a fence around.
She knows that the area of a garden is 9p yds^2.
How much fencing does Mia need to go around the circumference of the garden?
Answer:
uhh i think 19?-
Step-by-step explanation:
i tried sorry-
Determine whether each ordered pair is a solution of the system of linear equations.
3y = 6x + 12
2x - y = -4
a. (-3,2)
b. (0,4)
a. Is (-3,2) a solution?
0 Yes
Ο Νο
b. Is (0,4) a solution?
O No
0 Yes
Answer:
(0,4)
Step-by-step explanation:
The given equations are :
3y = 6x + 12
2x - y = -4
If (-3,2) be the solution of the above equations,
3(2) = 6(-3) + 12
6 = -18+12
6≠ -6
2x - y = -4
2(2) -(-3) =-4
4+7 = -4
11 ≠ -4
No, (-3,2) is not the solution.
Similarly, put (0,4) in the abve equations,
3(4) = 6(0) + 12
12 = 12
and
2(0) - 4 = -4
-4 = -4
Hence, (0,4) is a solution of the given equations.
Interest rate fixed at 6%, n = 26 payments per year, for payment
amounts of $50, $100, $150, $200 (4 separate sheets-1 for each payment amount)
Answer:
hi the anser might be 600$
Step-by-step explanation:
Raymond kept track of the number of hours that he spent practicing the piano each week for several weeks. He spent 2, 4, 8, 6, and 5 hours. What is the range of the data set? B. 5 hours O A. 2 hours O O O D. 6 hours C. 8 hours
What is the 20th term of the arithmetic sequence
3, 9, 15, 21, 27, ...?
Answer: 117
Step-by-step explanation:
first comment on first response!!! Thank you btwww!
how many possible outcomes are there?
Help:’/ it’s my last year
Find the value of Y helpppp
Answer:
y = 4
Step-by-step explanation:
Both the triangles are congruent by SSS postulate.
Therefore,
[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]
Find the area of a circle with radius equal to 4.
[tex]i \: think \: this \: is \: help \: full \: for \: you \: \\ \\ ]{?} [/tex]
PLEASE HELP !!!!!
What is the value of the missing angle?
Answer:
B
Step-by-step explanation:
180 - 100 = 80
80 = 30 = 110
180 - 110 = 70
Answer:
B
Step-by-step explanation:
100-30=70° Remeber this is a right triangle
simplify the expression by distributing combining like terns 2x + 3(2x+1)
Answer:
3
Step-by-step explanation:
23
Mr.Jenkins will purchase a riding lawnmower that costs $1,350. The store offers no interest if he uses the store credit card and the balance is paid in full within one year.
PLS HELP
Complete question is;
Mr. Jenkins will purchase a riding lawnmower that costs $1,350 The store offers no interest if he uses the store credit card and the balance is paid in
full within one year. He has $1,500 in his checking account. Compare the
advantages and disadvantages to using either a debit card or a credit card.
Answer:
Advantages & disadvantages given below
Step-by-step explanation:
Advantages;
1. They have low fees; for example almost all store credit cards don't charge annual fees but instead they promote some very good offers.
2. Possibility of having discounts from retailers; because majority of retailers usually love promoting their credit cards because it helps them ensure they save more money and they hold on to this principle judiciously. For example there could be discounts upon first purchase or when you shop at target stores which they offer.
3) Majority of store credit cards offer a lot of benefits for members. For, owners of store credit cards could be offered the option of returning purchased items without presenting the receipt. There could also be I stances where they are giving free shipping of their products or they could be exposed to some good favorable payment plans.
Disadvantages;
1. Their credit limits are usually far lower than those of credit and debit cards.
2. Other cards give more flexible discount and reward system to its customers. This includes cash back or giving the incentive of earning more points when they spend beyond a certain amount.
Can someone help me pls
Answer:
Okay so for this one use the Pythagorean theorem
Step-by-step explanation:
A^2 + 28^2 = 128^2
You are trying to find A.
So 28^2 is 784
128^2 is 16384
Now you will subtract 784 from both sides of the equation your new equation should be this: a^2 = 15600
Now you find the square root of both sides which gives you: A= 124.89 round it to 125
Solve this equation (Shown in the screenshot below)
Answer:
x = {-2, 0, 2}
Step-by-step explanation:
You want the solutions to √((√(x²) -1)²) = 1.
SolutionSquaring both sides gives ...
(√(x²) -1)² = 1² = 1
Taking the square root of both sides gives ...
√(x²) -1 = ±1
Adding 1, we have ...
√(x²) = 1 ± 1 = {0, 2}
We know that √(x²) = |x|, so this reduces to ...
|x| = {0, 2}
x = {±0, ±2}
x = {-2, 0, 2}
__
Additional comment
For finding the solutions graphically, we like to plot the equation in the form f(x) = 0. The graphing calculator readily identifies the x-intercepts, which are the solutions.
Can someone help me with this? Please and thank you
The measures in this problem are given as follows:
1. x = 14.
2. m < 1 = 58º.
3. m < 2 = 122º.
How to obtain the measures?Angles 1 and 2 are supplementary, as the angle 1 and the consecutive interior angle with angle 2 are corresponding angles, meaning that they are congruent, and then the angles are supplementary with their consecutive interior angles.
When two angles are supplementary, the sum of their measures is of 180º, hence the measure of x is obtained as follows:
m < 1 + m < 2 = 180
2x + 30 + 8x + 10 = 180
10x + 40 = 180
10x = 140
x = 140/10
x = 14.
Then the angle measures are obtained as follows:
m < 1 = 2(14) + 30 = 58º.m < 2 = 8(14) + 10 = 122º.More can be learned about parallel and transversal lines at https://brainly.com/question/24607467
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Pls help A bag contains 40 colored tiles. There are 12 red, 17 blue, 8 yellow and 3 green. One tile is drawn at
random which color is likely to be chosen? Pls I need help it will mean the world to me have a good day thank u pls help
A.red
B.green
C.yellow
D.blue
Find the least common denominator of
7
and
X+4 x-4