x + y = 21 3y + x = 19 Which value of x is part of a solution to this system of equations?
Answers
x + y = 21
3y + x = 19
using a graph tool
see the attached figure
the solution is the point (22,-1)
the answer is
the value of x is 22
Final answer:
The value of x that is part of a solution to this system of equations is 22.
Explanation:
To find the value of x in the system of equations:
x + y = 213y + x = 19We can use the method of elimination or substitution. Let's use substitution for this example:
Solve the first equation for y: y = 21 - x.Substitute the expression for y into the second equation: 3(21 - x) + x = 19.Simplify and solve for x: 63 - 3x + x = 19.Combine like terms: 63 - 2x = 19.Subtract 63 from both sides: -2x = -44.Divide by -2: x = 22.Thus, the value of x that is part of a solution to this system of equations is 22.
Related Questions
PLEASE HELP NOW 1 QUESTION FOR 25 POINTS
Points C and D are equidistant from point A. Complete the following table to prove that AEC ≅ AED.
Answers
E is the midpoint of the line BC, therefore EC = EB (S)
∠AEC = ∠DEB (Vertically opposite angles) (A)
by SAS,
ΔAEC ≡ΔDEB
$1200.00 is deposited into an account that earns 6.5% interest, which is compounded four times per year. How much money will be in the account after 6 years?
Answers
Choose the correct product of (6x − 2)(6x + 2). (1 point)
Choose the correct product of (6x − 2)(6x + 2). (1 point)
Answers
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x = [tex] 36x^{2} [/tex] Now you have your first term in the sequence.
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
[tex] 36x^{2} + 12x -12x - 4 [/tex]
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:
[tex]36 x^{2} - 4 [/tex] This is your product
If you can't see the images here
36x2 − 4
The average speed of a car is three times as fast as the average speed of a cyclist. to travel 225 km, the cyclist requires 5 h more than the car. determine the average speeds of the cyclist and the car.
Answers
To determine the speeds, we set up relative speed equations and solve for 'x'. The cyclist's average speed is 15 km/h and the car's average speed is 45 km/h.
Explanation:Let's denote the cyclist's speed as 'x' km/h and the car's speed as '3x' km/h (since it's three times the cyclist's speed).
Given that speed is distance over time, we can set up the following equations:
For the cyclist: 225km / x = time, and for the car: 225km / 3x = time - 5.
By equating these two expressions, we get: 225/x = 225/3x + 5.
Solving this equation for 'x', we get x = 15. Thus, the average speed of the cyclist is 15 km/h and the car (3x) is 45 km/h.
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Quadrilateral ABCD is inscribed in this circle.
What is the measure of ∠A ?
Enter your answer in the box.
°
Answers
Answer:
The measure of the ∠A is 59°.
Step-by-step explanation:
It is given that a quadrilateral ABCD is inscribed in a circle, and from the properties of circle, we know that the sum of the opposite angles of the quadrilateral inscribed in the circle is equal to 180°.
Therefore, ∠A+∠C=180°
⇒[tex]A+121^{\circ}=180^{\circ}[/tex]
⇒[tex]A=180-121[/tex]
⇒[tex]A=59^{\circ}[/tex]
Therefore, the measure of the ∠A is 59°.
Apologies on this being 4 years late, but to anyone else who stumbles across this; answer is 59°
I had taken the test and got it correct
Good luck, and i hope this helps!! :]
Which point is on the line that passes through (0,6) and is parallel to the given line
Answers
Anyways, take the slope of the given line. Since I don’t know what it is, let’s say it’s one.
Create an equation for the new line. Y=1x+b
We know that the line must go through (0,6). Plug in that. 6=0+b
B=6
Now plug b in to get your equation. y=x+6
This will change based on what your slope is
Points depends on the value of slope for the parallel line y = m₁ x + 6.
What are parallel lines?
" Parallel lines defined as two different lines lie in the same plane and never intersect with each other in that plane. Distance between parallel lines remain constant."
According to the question,
Let y = m₁ x + d be the given line.
Slope of parallel lines are equal and line passes through (0, 6)
Therefore,
6 = m₁ (0) + d
⇒ 6 = d
Required line parallel to the given line is
y = m₁ x + 6
Hence, points depends on the value of slope for the parallel line
y = m₁ x + 6.
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Ms.pacheco is three years older than mr.richards mr.edward is twice as old as mr.richard the sum of mr.richards age and mredwards age is 81
Answers
Mr. Richards is 40 and a half
Mr. Edwards is 81
One canned juice drink is 2020% orange juice; another is 1010% orange juice. how many liters of each should be mixed together in order to get 1010l that is 1212% orange juice?
Answers
.. 20%*x +10%*(10 -x) = 12%*10
.. 10x +100 = 120 . . . . . multiply by 100, eliminate parentheses
.. 10x = 20 . . . . . . . . . . subtract 100
.. x = 2
2 liters of 20% juice should be added to 8 liters of 10% juice to make 10 liters of 12% juice.
The measurement of one angle of a right triangle is 34°.
What is the measurement of the third angle?
Enter your answer in the box.
Answers
Final answer:
The third angle of the right triangle is calculated by subtracting the sum of the known right angle (90°) and the given angle (34°) from the total sum of angles in a triangle (180°), which equals 56°.
Explanation:
To find the measurement of the third angle in a right triangle where one of the angles is 34°, we use the fact that the sum of the angles in any triangle is 180°. Since one angle is 34° and another is by definition 90° in a right triangle, we can subtract these two angles from 180° to find the third angle:
Sum of angles in a triangle = 180°
Two known angles: 90° (right angle) + 34° = 124°
Third angle = 180° - 124° = 56°
Therefore, the measurement of the third angle is 56°.
The focus of a parabola is located at (4,0), and the directrix is located at x = –4.
Answers
y^2=16x
Hope this helps
Answer with explanation:
A parabola is the locus of all the points such that distance from a fixed point called focus to distance from a fixed line is always constant equal to 1.
Let locus of all the point be (p,q).
[tex]\rightarrow \sqrt{(p-4)^2+(q-0)^2}=p+4\\\\ \rightarrow \text{Squaring both sides}\\\\\rightarrow p^2+16-8 p+q^2=p^2+8 p+16\\\\\rightarrow q^2=8 p+8 p\\\\\rightarrow q^2=16 p\\\\\rightarrow y^2=16 x[/tex]
Required equation of Parabola:
y²=16 x
Dan has already delivered 48 donuts today. For the next few hours, Dan will deliver 60 donuts per hour. Match the number of donuts Dan will have delivered after a given number of hours to the corresponding recursive function. Tiles number of donuts delivered 2 hours from now number of donuts delivered 7 hours from now number of donuts delivered n hours from now number of donuts delivered 6 hours from now Pairs next = now + 6 × 60, starting at 48 arrowBoth next = now + 60 + 60, starting at 48 arrowBoth next = now + 420, starting at 48 arrowBoth next = now + 60n, starting at 48 arrowBoth
Answers
2. Next=now +60+60
starting at 48 because 2 hours meant 2*60 = 60+60
B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48 because 7 hours meant 7*60 = 420 mn
C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48 (this is obvious)
so finally,
D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48
Answer:
A.number of donuts delivered 2 hours from now.
2. Next=now +60+60
starting at 48 because 2 hours meant 2*60 = 60+60
B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48 because 7 hours meant 7*60 = 420 mn
C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48 (this is obvious)
so finally,
D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48
Step-by-step explanation:
Which is a way to borrow money from a bank or financial institution to pay for a car?
car loan
car lease
car rental
Answers
The feel better spa has two specials for new members. They can receive 3 facials and 5 manicures for $114 or 3 facials and 2 manicures for $78
Answers
Clark left for school at 7:43 am he git to school 36 minutes later.what time. Did clark get to school???
Answers
Hope this helps :)
There are 60 minutes in an hour.
43+36= 79
That is 1 hour and 19 minutes.
7+1= 8
8:19 is the time Clark got to school.
I hope this helps!
~kaikers
Expand the logarithmic expression. I will award brainliest.
Answers
Which of the following is an example of independent events?
A) Selecting a bead from a bag of 9 different colored beads and then selecting a second bead without putting the first back.
B) Spinning a 3 on a spinner and getting a head from a coin toss.
C) Drawing a king from a standard deck of cards and then drawing an 8 without replacing the king.
D )Four people are drawn successively without replacement from a group of 30 to represent the group.
Answers
Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. What would be an appropriate unit for Hannah's purpose?
Answers
D = m / v
Where,
m: mass
v: volume
We have then that for this problem the appropriate units are:
For the mass m: grams
For volume v: cubic centimeters.
Therefore, the density unit will be:
D [g / cm ^ 3]
Answer:
D [g / cm ^ 3]
Answer:
grams per mm
Step-by-step explanation:
In general, reducing the interest rate (i) of a credit card but keeping the present value (PV) and number of periods (n) the same will __________. a. decrease the monthly payment (P) needed to pay off the debt b. increase the monthly payment (P) needed to pay off the debt c. eliminate the monthly payment (P) needed to pay off the debt d. have no effect on the monthly payment (P) needed to pay off the debt
Answers
Monthly payments would increase if the interest rate increases. Monthly payments cannot be eliminated.
A) decrease the monthly payment (P) needed to pay off the debt.
Explanation:
When calculating the monthly payment, the interest rate affects the amount you pay.
The higher the interest rate is, the more you must pay monthly in order to pay the debt off within the same number of time periods.
However, if you lower the interest rate, the reverse will be true; you will need to pay less money each month in order to pay off the debt within the same amount of time.
natalie guessed on the last four true or false questions on her math quiz. what is the probability that she got all four quiz questions correct?
Answers
what's the probability she got one correct, well, the favorable outcomes is 1, possible outcomes is 2, so 1/2.
what's the probability that she got all four correct, we simply multiply the probability of each,
[tex]\bf \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\implies \cfrac{1}{16}\implies 0.0625\qquad or\qquad 6.25\%[/tex]
The probability that Natalie got all four quiz questions correct after guessing would be 6. 25 %.
How to find the probability ?If Natalie guessed on the last four true or false questions, there are two possible outcomes for each question (correct or incorrect), and she has a 50% chance of guessing correctly for each question since there are only two options.
To find the probability that she got all four quiz questions correct, you can multiply the probabilities for each question:
Probability of guessing a question correctly = 0.5 (since there are 2 options, and she has a 50% chance of guessing correctly)
Probability of getting all four questions correct = (0.5) * (0.5) * (0.5) * (0.5)
= 0.0625
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A bakery supplier receives an order for 2 tons of flour from a bakery chain The flour is shipped in crates.Each crate holds eight 10- pound bags of flour. How many crates does the supplier need to ship to fulfill the order?
Answers
One Crate = (10•8) = 80lbs
4000/80 = 50
50 crates needed
The fish population in a lake decreases by 20% each year. What is the common ratio?
Answers
Jan has a box of magnets. She finds 21 more magnets. She now has a total of 33 magnets. How many magnets did Jan have to start?
12 magnets
21 magnets
45 magnets
33 magnets
Answers
What is the common difference in the arithmetic sequence -4x,-x,2x,5x,8x,... ?
Answers
What are the first 35 digits of pi?
Answers
Here are the first 3000 digits of pi.
3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 003137838752886587533208381420617177669147303598253490428755468731159562863882 353787593751957781857780532171226806613001927876611195909216420198938095257201 065485863278865936153381827968230301952035301852968995773622599413891249721775 283479131515574857242454150695950829533116861727855889075098381754637464939319 255060400927701671139009848824012858361603563707660104710181942955596198946767 837449448255379774726847104047534646208046684259069491293313677028989152104752 162056966024058038150193511253382430035587640247496473263914199272604269922796 782354781636009341721641219924586315030286182974555706749838505494588586926995 690927210797509302955321165344987202755960236480665499119881834797753566369807 426542527862551818417574672890977772793800081647060016145249192173217214772350 141441973568548161361157352552133475741849468438523323907394143334547762416862 518983569485562099219222184272550254256887671790494601653466804988627232791786 085784383827967976681454100953883786360950680064225125205117392984896084128488 62694560424196528502221066118630674427862203919494504712
Please find the domain and range of this equation: y=3 (x-2)^2+5
Answers
y=3(x-2)^2+5
using a graph tool
see the attached figure
the domain is (-∞,∞)
the range is [5,∞)
Estimate the percent of decrease.
Original population: 1,503
New population: 1,356
a. 1%
b. 10%
c. 13.5%
d. 15%
Answers
Answer:
Percentage in decrease = 10 %
Step-by-step explanation:
Given : Original population: 1,503 and New population: 1,356.
To find : Estimate the percent of decrease.
Solution : We have given
Original population: 1,503
New population: 1,356.
Value decrease = original population - new population.
Decrease = 1,503 - 1,356
Decrease population = 147
Percentage in decrease = [tex]\frac{decrease\ value}{original}*100[/tex].
Percentage in decrease = [tex]\frac{147}{1503}*100[/tex].
Percentage in decrease = [tex]\frac{14700}{1503}[/tex].
Percentage in decrease = 9.78 %
Estimate = 10 %.
Therefore,
Percentage in decrease = 10 %
to convert 45000 inches into miles which two ratios could you multiply by
Answers
Hope this helped!
Match the reasons with the statements in the proof.
1. m∠6=m∠8, b||c
Substitution
2. m∠7=m∠8
If alternate interior angles equal, then lines ||.
3. m∠6=m∠7
Given
4. a||b
If lines ||, corresponding angles =.
Answers
Given
2. m∠7=m∠8
If lines ||, corresponding angles =.
3. m∠6=m∠7
Substitution
4. a||b
If alternate interior angles equal, then lines ||.
The statements and reasons are m∠6 = m∠7 | Given, m∠7 = m∠8 | If alternate interior angles equal, then lines are parallel, m∠6 = m∠8, b||c | Substitution and a||b | If lines are parallel, corresponding angles are equal.
The reason for statement 1 is "Given" because it is given in the problem.
The reason for statement 2 is "If alternate interior angles equal, then lines are parallel." This is a theorem in geometry.
The reason for statement 3 is "Substitution" because we are substituting m∠7 for m∠8.
The reason for statement 4 is "If lines are parallel, corresponding angles are equal." This is also a theorem in geometry.
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a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately normally distributed for the 1208 graduating seniors. This mean score on the test was a 74 and the standard deviation was 11. what percent of the graduating seniors had a test above 85? Express your answers to the nearest percent.
Answers
Based on the mean score of the test, the percentage of students who scored above 85% in the test was 16%.
Which students scored above 85 in the test?Based on the fact that this distribution is normally distributed, the percentage of students that scored higher or lower than 85% within 1 standard deviation is:
= 100% - 68%
= 32%
The number of students who scored above 85% would therefore be:
= 32% / 2
= 16%
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if x-15=7-5(x-4) then x=?
0
5
4
2
7