Answer:
10
Step-by-step explanation:
20x – 2y = 6
y=10x-3
Parallel line have same slope
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
16. Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?
17. Joseph has 30 coins and they are all either dimes or nickels. The total $2.15. How many dimes does he have?
18. A golfer completed 18 holes with a total of 79 strokes. On each hole he met par, which was either four or five each time. How many holes were played in four strokes?
19. There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?
20. There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Answer: Here are the answers. I walked you through 16 in my answer.
16. 3x=2y
1 =y-x
x=2 and y=3
17. $2.15=.10d+.05n
d=30-n
There are 17 nickels and 13 dimes
18. 18=4x+5y (since that's the total amount of holes and each par is either 4 or 5 strokes each)
4x=79-5y (since there are 79 total strokes and each was either 4 or 5)
No solution
Step-by-step explanation: For each problem, you have to write down the information you know, then define variables for the unknown. For 16, for example, they tell you that one number, which I have chosen to call x, is equal to two times the larger number, which I have chosen to name y. So, you'd have an equation that equals x. It also tells you that you need three times x, and two times y, which can be rewritten as 3x and 2y. In other words, 3x=2y. That said, you can move on to the next equation. Since you know the difference is 1, in other words, y-x=1, or y=x+1 ( I isolated y by adding x to both sides), you can put that into your equation as well. From there, I used the substitution method to solve.
3x=2y
so 3x=2(x+1)
y=x+1
3x=2(x+1) --- orig equation
3x=2x+2 --- distributive property (Multiplied x+1 by 2)
x=2 ---- subtracted 2x from both sides
**Now, to find y, you can substitute x into either equation. Since I know y=x+1 where x=2, I know that y must be 3. To check this, you can graph on Desmos. The lines should intersect at (2,3).
For 18, the lines are parallel so they never intersect. There is no solution.
answer:
16. 3x = 2y, 1 = y - x → 2, 3
17. 2.15 = 0.10d + 0.05n, d = 30 - n → 13 dimes and 17 nickels
18. 18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes
19. 3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3
20. a = 3/5b, 2/5b = 4 → Pair 1: 6 and 10, Pair 2: 10 and 6
i hope this helps!! ♡
In ΔPQR, \text{m}\angle P = (4x-14)^{\circ}m∠P=(4x−14)
∘
, \text{m}\angle Q = (5x+6)^{\circ}m∠Q=(5x+6)
∘
, and \text{m}\angle R = (x-2)^{\circ}m∠R=(x−2)
∘
. Find \text{m}\angle R.m∠R.
Answer:
17
Step-by-step explanation:
The measure of angle R is 17°
What is a triangle?A triangle is a polygon with three edges and three vertices.
Given is a triangle, PQR and measurements of the angles are given as, m∠P=(4x−14), m∠Q=(5x+6) and m∠R=(x−2)
We know that, the sum of the interior angles of a triangle is 180°
Therefore, ∠ P + ∠ R + ∠ Q = 180°
4x-14 + 5x+6 + x-2 = 180°
10x -10 = 180°
10x = 190°
x = 19°
Now, ∠ R = x-2
∴ ∠ R = 19-2
∠ R = 17°
Hence, the measure of angle R is 17°
For more references on triangles, click;
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Please help me it’s due at 11:59pm today please help me will mark the brainiest please
Answer:
x=24
Step-by-step explanation:
2/3x+7=23
2/3x=16
x=24
The weight of an adult beluga whales is known to have a normal distribution with a mean of 1800 pounds in a standard deviation of 300 pound. What is the probability of randomly catching adult beluga whale that weighs between 2000 pounds and 2500 pounds?
Answer:
.2427
Step-by-step explanation:
If you don't need to show your work:
TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]
Simplify the expression below: (3−13)2+1442−5·2
Answer:
1412
Step-by-step explanation:
2*(3 - 13) + 1442 - (5 * 2)
Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.
6 - 26 + 1442 - 10
Now simplify the expression by adding and subtracting the terms.
1412 is the answer.
#teamtrees #WAP (Water And Plant)
Select all that apply.
Which of the following are proportions?
25/10 = 5/2
3/4 = 8/10
2/8 = 3/12
3/4 = 15/20
Answer:
Step-by-step explanation:
3/4=15/20 are proportions
For every 3 you get a 4
So 5*3= 15 and 5*4=20
25/10 = 5//2 is another one.
Answer:
25/10 = 5/2
3/4 =15/20
Step-by-step explanation:
2218388 of the 4031887
Answer:
Boi what?
Step-by-step explanation:
This is not a proper question. You need to include more information
A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?
Answer:
25%
Step-by-step explanation:
Looking at the attached diagram, we can see that the box plot is divided into 3 sections,
Q1 = First Quartile (1/4 the players) = 25%
Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%
Q3 = Third Quartile (3/4 of the players) = 75%
From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below
The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%
= 25%
The percentage of players weighing greater than or equal to 242 pounds is 25 %.
Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.
It means that 75% of the players weigh 242 pounds and below
Hence, The percentage of players weighing greater than or equal to 242 pounds is,
[tex]100-75=25[/tex]
Learn more about the Quartile here:
https://brainly.com/question/10005803
PLS HELP SOMEBODY I NEED HELP
Answer: 36 + 4d
Step-by-step explanation:
so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.
Please help! I really need help please I will give Brainliest!
x + 2x + 12y + x
Part A: Using the expression shown, add like terms and produce an equivalent expression.
Please do B too
Part B: Rewrite your expression from Part A using the distributive property.
Answer:
A) 4x+12y
B) 2(2x+6y) is one way to do it
Step-by-step explanation:
1+1+2 is 4 and 12y cannot be added to anything.
2 x 2 is 2 ans 6 x 2 is 12
which expression is equivalent to mn+z
May you please help im begging ii will give out branilyist
Answer:
A
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
5 times 4 is 20 divided by 2 is 10 hope this helps
Please help me ASAP. !
Step-by-step explanation:
distance must positive
so, 25-12
=13
Pls help it is due today!!!!!
Answer:
BRUH THIS WAS ON MY TEST AND BRUH HONESTLY I HAVE NO CLUEE
Answer:
A
Step-by-step explanation:
Hi there~
Divide:
4 1/3 ÷ 1 2/9
A family drove from home to truckee at 55 mph and returned the same route at 40 mph due to a snow storm. the total travel time was 4.75 hours. Determine the distance between their home and truckee
Answer:
1.3245
Step-by-step explanation:
I WILL MARK BRAINLIST
Answer:
im pretty sure its a
Step-by-step explanation:
Answer:
..........
Step-by-step explanation:
The scatterplot shows the number of weekly hours that swimmers spend at an indoor pool and the average weekly outdoor temperature. A graph titled Hours at Pool has Outside Temperature (degrees Fahrenheit) on the x-axis and Number of Hours at Pool on the y-axis. Point (90, 2) is outside of the cluster. Which data value would cause the interpretation of the data set to be understated? (20, 1) (55, 6) (90, 2) (95, 8)
Answer:
I THINK IT'S C!!!
Step-by-step explanation:
EDGE 2020
The answer is C, or (90,2)
4,8and 12 find the LCM of each numbers
Answer:The LCM of 4, 8 and 12 is 24.
Step-by-step explanation:
Find tan θ if sec θ = root 37/6 and sin θ < 0
How many numbers can be squared to get a value of 0?
Answer:
1
Step-by-step explanation:
0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0
-14n+q = rt-4n
solve for n
Answer:
Step-by-step explanation:
Simplifying
-14 + 1 = rt + -4n
Combine like terms: -14 + 1 = -13
-13 = rt + -4n
Reorder the terms:
-13 = -4n + rt
Solving
-13 = -4n + rt
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4n' to each side of the equation.
-13 + 4n = -4n + 4n + rt
Combine like terms: -4n + 4n = 0
-13 + 4n = 0 + rt
-13 + 4n = rt
Add '13' to each side of the equation.
-13 + 13 + 4n = 13 + rt
Combine like terms: -13 + 13 = 0
0 + 4n = 13 + rt
4n = 13 + rt
Divide each side by '4'.
n = 3.25 + 0.25rt
Simplifying
n = 3.25 + 0.25rt
Answer:
n = [tex]\frac{rt-q}{-10}[/tex]
Step-by-step explanation:
your equation is -14n+q = rt-4n
subtract q from both sides: -14n = rt - 4n - q
add 4n to both sides: -10n = rt - q
divide both sides by -10: n = [tex]\frac{rt-q}{-10}[/tex]
What is the square root of 153 divided by 13
plz help me fast
Answer:
About 0.95
Step-by-step explanation:
Answer:
0.9514859136
Step-by-step explanation: I use calculator lol
In quadrilateral ABCD, \angle A=5x+20,\angle B=3x-30,\angle C=2x+10,and\angle D=8x.∠A=5x+20,∠B=3x−30,∠C=2x+10,and∠D=8x. Find the value of Angle B.
Equation:
x=
angle b=
Answer:
Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360
x = 20
Angle B = 30°
Step-by-step explanation:
Given:
<A = 5x + 20
<B = 3x - 30
<C = 2x + 10
<D = 8x
Sum of interior angles of a quadrilateral = 360°
Therefore:
<A + <B + <C + <D = 360°
(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360
Solve for x
5x + 20 + 3x - 30 + 2x + 10 + 8x = 360
Collect like terms
5x + 3x + 2x + 8x + 20 - 30 + 10 = 360
18x = 360
Divide both sides by 18
x = 360/18
x = 20
<B = 3x - 30
Plug in the value of x
<B = 3(20) - 30 = 60 - 30
<B = 30°
a square has a perimeter of 52 mm. The square is dilated by a scale factor of 3. what is the side length of the resulting image?
Answer:
39
Step-by-step explanation:
Since a square has 4 equal sides, it's safe to do [tex]\frac{52}{4}[/tex] to get each side length (each side is 13 mm).
Dilating a side means you're multiplying it by the scale factor. This means that you're doing [tex]13*3[/tex] to each side (each side is 39 mm).
Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109
B. c+a=109
c=a+15
C. c+a=109
a=c+15
D. c-a=15
c=a+109
Answer:
C
Step-by-step explanation:
Find the measure of the missing angle.
77°
Answer: The missing angle is 13°
Step-by-step explanation:
Let ∠B
be the missing angle.
Let ∠A
be the angle that measures
77∘Let ∠C
the right angle that measures
90∘
The following is true of all triangles:
∠A+∠B+∠C=180∘
Express the above equation as
∠B
in terms of the other angles:
∠B=180∘−∠A−∠C
Substitute the values for ∠A and ∠C
∠B=180∘−77∘−90∘
∠B=13∘
QUESTION: Determine if the statement is true or false? if false give an counterexample.
How is it true and false? can you help me please? Log*(f)4(3d)+log*(4)(3d)
the *() means its the base and below the log. Please help :)
oh my please its due in a few minutes certain answers only and please explain how its correct or I will bawl my eyes out...... (>^.^>) Thank you in advance.
PLEASEEEEEEEEEEEEEE NO FAKE ANSWERS OR YOU GET NO BRAIN CROWN AND REPORTED EXPLAIN PLEASE DUE IN FEW MINUTES :)))
Answer:
FalseStep-by-step explanation:
Actual question is:
logf 4(3d) + log4 1 = log4 3dSolution:
logf 4 + logf (3d) + 0 = log4 (3d)logf 4 + logf (3d) = log4 (3d)If we assume f = 4, then
log4 4 + log4 (3d) = log4 (3d)log4 4 = 0but log4 4 = 1
1 = 0 is impossibleTherefore the statement is False
Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115
The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Let the interior alternate angle to 65° be y.
Now, y=65° (Alternate interior angles are equal)
Here, y°+x°=180° (Adjacent angles)
65°+x°=180°
x°=115°
Therefore, option D is the correct answer.
To learn more about the alternate interior angles visit:
brainly.com/question/28380652.
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Ariana drove her car 260 miles in 8 hours. Write this rate as a reduced fraction.