First solve the equation for 3x
-3x+3y=12
3x=-57-6y
Now substitute the given value into the equation
-(-57-6y)+3y=12
Then solve for y
Y=-5
Then substitute the given value of y
3x=-57-6✖️(-5)
Now solve for x
X=-9
Ordered pairs
(X,Y)=(-9,-5)
Then you are left with your answer:
(-9,-5)
Hope this helps! :3
First we need to solve for X.
Solve for xx.
-3x+3y=12−3x+3y=12
Divide both sides by -3−3.
x-y=-\frac{12}{3}x−y=−
Simplify \frac{12}{3}
x-y=-4x−y=−4
Add y to both sides.
x=-4+yx=−4+y
Regroup terms.
x=y-4x=y−4
Step two:
Let's start with the normal equation.
3x+6y=-573x+6y=−57
Let x=y-4x=y−4.
3(y-4)+6y=-573(y−4)+6y=−57
Simplify.
9y-12=-579y−12=−57
Great! Now we are on step 3.
Solve for y.
9y-12=-579y−12=−57
Add 1212 to both sides.
9y=-57+129y=−57+12
Simplify -57+12−57+12 to -45−45.
9y=-459y=−45
Divide both sides by 99.
y=-\frac{45}{9}y=−
Simplify \frac{45}{9} to 55.
y=-5y=−5
Step 4! Boom!!
Now let's start with what we have.
x=y-4x=y−4
Let y=-5y=−5.
x=-5-4x=−5−4
Simplify.
x=-9x=−9
Then our answers are:
x=−9
y=-5y=−5
Have an amazing day and thanks for using Brainly!
A park is in the shape of a parallelogram. The park has an area of 776.25 square yards. The base of the park is 34.5 yards. marta wants to jog 10 sprints. each sprint is the same distance as the height of the park. how far will Marta sprint?
Answer:
The height is given by: 776.5 / 34.5 = about 22.5 yards. So....10 times this is about 225 yards.
What is the answer to the question above
Answer: [tex]\bold{\dfrac{2}{65}}[/tex], Dependent
Step-by-step explanation:
[tex]\dfrac{\text{\# of vowels}}{\text{total \# of letters}}[/tex]
1st draw and 2nd draw
[tex]\dfrac{5}{26}[/tex] x [tex]\dfrac{4}{25}[/tex] = [tex]\dfrac{20}{650}[/tex]
[tex]\dfrac{20}{650}\div\dfrac{10}{10}=\dfrac{2}{65}[/tex]
This is dependent because the number of vowels remaining for the 2nd draw is dependent on whether or not a vowel was chosen on the 1st draw.
−3(4x−2)=21−4(1+4x)
solve for x
Step-by-step explanation:
Use the distributive formula to solve for x:
a(b + c) = ab + ac
-3(4x - 2) = 21 - 4(1 + 4x)
1. Use distributive property:
-12x + 6 = 21 - 4 - 16x
2. Simplify:
-12x + 6 = 17 - 16x
3. Add 16x to both sides
-12x + 16x + 6 = 17 - 16x + 16x
4. Simplify:
4x + 6 = 17
5. Subtract 6 from both sides
4x + 6 - 6 = 17 - 6
6. Simplify
4x = 11
7. Now, divide both sides by 4
4x/4 = 11/4
8. Simplify:
x = 11/4 <------ Answer
Hope this Helped!!
~Shane
Answer:
x = 2.75
Explanation:
Solve for x:
Use distributive property.
−3(4x − 2) = 21 − 4(1 + 4x)
Combine like terms.
-12x + 6 = 21 - 4 - 16x
Add -12x on both sides.
-12x + 6 = 17 - 16x
+ 12x + 12x
Subtract 17 on both sides.
6 = 17 - 4x
-17 -17
Divide -4 on each side to get x alone.
-11 = -4x
---- -----
-4 -4
And you get your solution to x.
2.75 = x
Check:
Substitute 2.75 to x.
−3(4(2.75) − 2) = 21 − 4(1 + 4(2.75))
Multiply 2.75 by 4.
-3(11 - 2) = 21 - 4(1 + 11)
Distribute.
-33 + 6 = 21 - 4 - 44
Subtract 21 by 4.
-33 + 6 = 17 - 44
Subtract.
-27 = -27
What is the length of LA?
You can solve this by setting up a proportion. 4/6 = x/9. Cross multiply to get 6x=36. Divide both sides by 6 to get x=6.
The length of the missing segment is 12 inches.
How do we explain?We know that the two triangles are similar, so the ratio of their corresponding side lengths is equal.
Let x be the length of the missing segment.
We then have the following equation:
x/13 = 12/26
= 12/26 * 13
x = 12 inches
Therefore, the length of the missing segment is 12 inches.
In conclusion, An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.
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what are simulations?
Answer:
Step-by-step explanation:
"A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in the social sciences (such as economics, psychology, sociology, political science).
A model may help to explain a system and to study the effects of different components, and to make predictions about behavior."
Find the value of s 1/3 s + 14= 26
Answer:
S = 36
Step-by-step explanation:
s/3 + 14= 26
s/3 = 12
s = 36
Answer:
Step-by-step explanation: (1/3)*s+14 = 26 // - 26
(1/3)*s-26+14 = 0
1/3*s-12 = 0 // + 12
1/3*s = 12 // : 1/3
s = 12/1/3
s = 36
s = 36
Entertainment For a scene in a movie, a sack of money is dropped from the roof
of a 600-foot skyscraper. The height of the sack above the ground in feet is given by h = -16t2 + 600, where t is the time in seconds. How long will it take the sack to reach the ground?
Round to the nearest tenth of a second.
Answer:
6.1 s
Step-by-step explanation:
h = -16t² + 600
When the sack reaches the ground, h = 0.
0 = -16t² + 600
16t² = 600
t² = 600/16
t² = 37.5
t = 6.1 s
It will take 6.1 s for the sack to reach the ground.
It takes 6.1 s for the sack to reach the ground.
We have given that the expression
h = -16t² + 600
What is the height when sack reaches the ground?at ground height is 0
Therefore,When the sack reaches the ground, h = 0.
[tex]0 = -16t^2 + 60016t^2 = 600 t^2 = 600/16 t^2 = 37.5 t = 6.1 s[/tex]
Therefore ,It will take 6.1 s for the sack to reach the ground.
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solve the following equation using the square root property 9x^2 +10 =5
Answer:
14
Step-by-step explanation:
Answer
Hope this helps!
In triangle JKL, m of angle J = 90, m of angle K = 30, and m of angle L = 60. Which of the following statements about triangle JKL are true?
Answer:
option C. [tex]KL=2*JL[/tex]
option D. [tex]JK=\frac{\sqrt{3}}{2}*KL[/tex]
option F. [tex]JK=\sqrt{3}*JL[/tex]
Step-by-step explanation:
step 1
we know that
In the right triangle JKL
[tex]sin(30\°)=\frac{JL}{KL}[/tex]
[tex]sin(30\°)=\frac{1}{2}[/tex]
so
[tex]\frac{1}{2}=\frac{JL}{KL}[/tex]
[tex]KL=2*JL[/tex]
step 2
[tex]cos(30\°)=\frac{JK}{KL}[/tex]
[tex]cos(30\°)=\frac{\sqrt{3}}{2}[/tex]
so
[tex]\frac{\sqrt{3}}{2}=\frac{JK}{KL}[/tex]
[tex]JK=\frac{\sqrt{3}}{2}*KL[/tex]
step 3
[tex]tan(30\°)=\frac{JL}{JK}[/tex]
[tex]tan(30\°)=\frac{1}{\sqrt{3}}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{JL}{JK}[/tex]
[tex]JK=\sqrt{3}*JL[/tex]
The area of a rectangular tabletop is 4 square feet Cassie will cover the tabletop with square tiles that each have an area of 1 square inch
How many tiles does Cassie need to completely cover the tabletop?
12 inches = 1 foot.
144 inches = 1 square foot.
To find 4 square feet, you need to multiply by 4.
144 * 4 = 576
576 inches = 4 square feet
You need 576 tiles.find the difference square 20- square 80
The difference between the square of 80 and the square of 20 is 6000.
Explanation:The student's question appears to ask for the difference between the squares of two numbers, specifically square 20 and square 80.
To find this difference, each number must be squared and then the smaller result subtracted from the larger one.
Squaring a number means multiplying the number by itself, so square 20 (which is 20²) equals 400 and square 80 (which is 80²) equals 6400.
Next, we find the difference by subtracting the smaller square from the larger one:
6400 (square 80) - 400 (square 20) = 6000
This calculation reveals that the difference between the square of 80 and the square of 20 is 6000.
Write a subtraction problem in which you have to rename a fraction and whose solution is between 3 and 4
Answer:
lol
Step-by-step explanation:
State the negation of the following statement:
It is not raining.
Answer:
not
Step-by-step explanation:
Negation is turning a positive statement into a negative one. The positive form of the sentence is: It is raining.
Adding the word 'not' makes it negative (not positive): It is NOT raining.
The negation of the given statement is It is raining.
What is negation?
In Mathematics, the negation of a statement is the opposite of the given mathematical statement. If “P” is a statement, then the negation of statement P is represented by ~P. The symbols used to represent the negation of a statement are “~” or “¬”.
Given statement
P : It is not raining.
~P : It is raining
Hence, The negation of the given statement is It is raining.
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Nadia cuts 3 pieces of equal length from 8 yards of ribbon.How long is each piece
Answer:
2 1/3 yards each
Step-by-step explanation:
8 yards / 3 equal pieces = 8/3 yards for each piece or 2 1/3.
Answer: 2 2/3 yards
Step-by-step explanation:
The ribbon is 8 yards long
it is cut in 3 equal pieces so
8 yards divided by 3 yards = 2 2/3 yards
What is the value of -5 1/2 + 7 3/4 - (-4)
Answer:
[tex]\large\boxed{-5\dfrac{1}{2}+7\dfrac{3}{4}-(-4)=6\dfrac{1}{4}=6.25}[/tex]
Step-by-step explanation:
[tex]-5\dfrac{1}{2}+7\dfrac{3}{4}-(-4)=-5\dfrac{1}{2}+7\dfrac{3}{4}+4\\\\\bold{METHOD\ 1}\\\\\text{Convert to the decimal:}\\\\-5\dfrac{1}{2}=-5.5\\\\7\dfrac{3}{4}=7.75\\\\-5.5+7.75+4=6.25\\\\\bold{METHOD\ 2}\\\\\text{Find the common denominator.}\\\\LCD=4\\\\-5\dfrac{1}{2}=-5\dfrac{1\cdot2}{2\cdot2}=-5\dfrac{2}{4}\\\\-5\dfrac{1}{2}+7\dfrac{3}{4}+4=-5\dfrac{2}{4}+7\dfrac{3}{4}+4=(-5+7)+\left(-\dfrac{2}{4}+\dfrac{3}{4}\right)+4\\\\=2+\dfrac{1}{4}+4=6\dfrac{1}{4}[/tex]
I need to know how to find the slope?
the slope is 2
4/2= 2
Compute the conditional probabilities P(A|B) and P(B|A).
Answer:
Step-by-step explanation:
Good evening ,
P(A|B) = P(A∩B)/P(B)
P(B|A) = P(A∩B)/P(A)
:)
Sam conducted a survey to find out the favorite weekend activity of the students in his middle school. He asked 20 of his classmates. He found out that the favorite weekend activity of his middle school is playing video games because 75% of the students he surveyed liked to play video games. Explain why Sam’s sample may not be valid. Provide 2 or 3 sentences of explanation with facts to support your answer. How could Sam improve his survey to be more representative of his school?
Answer
So, Sam only asked 20 people in his entire middle school. That is a very small fraction of the amount of kids attending that school. He cannot say that video games is 75% of the entire school's favorite weekend activity if he only asked 20 people. To get a better, more valid result, he should ask around 100+ kids.
Step-by-step explanation:
Given f(x)= 10-2x, fins f(7)
Answer:
-4
Step-by-step explanation:
Okay so basically with functions you are gonna wanna substitute 7 where x is since x=7.
10-2(7) = ?
2 x 7 = 14
10-14=-4
Have a nice day hope this helps :)
:)
Answer:
Step-by-step explanation:
Just put 7 in the place of x
[tex]f(7)=10-2(7)\\f(7)=10-14\\f(7)=-4[/tex]
Sylvia is changing the light bulbs of the big light fixture in her dining room. She finished 1 5 of the bulbs in 10 minutes. What fraction of bulbs does she have left to do? A) 1 5 B) 2 5 C) 3 5 D) 4 5
Answer:
D
Step-by-step explanation:
5/5 -1/5=4/5
What is the total of your parents’ monthly fixed expenses?
Expense Amount
Rent $998.50
Groceries (bi-weekly) $195.40
Charge card $258.90
Cell phone $65.78
Name brand khakis for work (store brand optional) $34.95
$1,713.98
$1,553.53
$1,748.13
$1,518.69
Answer:
Option A. $1713.98
Step-by-step explanation:
You have to calculate your parents' monthly fixed expenses by the given expenses list.
Rent = $998.50
Groceries ( bi-weekly ) = $195.40 Monthly groceries = (195.40×2)
Charge card = $258.90
Cell phone = $65.78
Name brand Khakis for work (store brand optional ) = $34.95
Total expenses are 998.50 + (195.40×2) + 258.90 + 65.78
= $1713.98
Option A. $1713.98
Answer:
Consumer Math Exam Part 1 Answers:
1. Barter
2. Charge Card
3. Principal
4. Interest accrued
5. Exchange Rate
6. Debtor
7. Debit Card
8. High Interest Rate
9. Credit Score
10. Collateral
11. Cash
12. Lower your mortgage interest rate
13.brand name khakis
14. $1,213.13
15 9 oz
16. $111.59
17. $183.09
18. $2803.86
19. $52.12
20. $413.83
21. $62.43
22. 10 dozen
23. $25.46
24. $825.75
25. $24.05
26.$52.74
27. $5.25
28. $35.86
29.$16.27
30. $1580.16
31. $3.72
32. $1344.32
33. $18.50 hour
34. $1748.13
35. $510.01
36. the debt ration remains the same
Step-by-step explanation:
Find the circumference of a circle with an area of 201.06 square inches.
Answer: C= 50.2652
Step-by-step explanation:
The circumference of a circle with an area of 201.06 square inches is approximately 50.24 inches, after calculating the radius from the area and applying it to the circumference formula.
Explanation:To find the circumference of a circle when given the area, you'll want to perform a series of mathematical steps. The area of a circle is given by the formula A = πr², and the circumference is given by C = 2πr. You can rearrange the area formula to solve for the radius, r, and then substitute that into the circumference formula.
First, solve for the radius:
A = πr² → r = √(A/π) → r = √(201.06/π).
Once you have r, plug it into the circumference formula:
C = 2πr.
Using a calculator, you'll find the following values:
r = √(201.06/3.14) which is approximately r = 8 inches.Then calculate the circumference: C = 2 × 3.14 × 8 which is approximately C = 50.24 inches.The circumference of a circle with an area of 201.06 square inches is approximately 50.24 inches.
Cw 10.5 10.5 V. W
A great
Answer:
Refer to step-by-step.
Step-by-step explanation:
12. x = 28
BC = x
AB = 96
AC = 100
We use the Pythagorean theorem to find the value of x.
a² + b² = c²
x² + 96² = 100²
x² + 9216 = 10000
x² = 10000-9216
x² = 784
√x² = √784
x = 28
13. x = 64
a² + b² = c²
48² + x² = 80²
2304 + x² = 6400
x² = 6400 - 2304
x² = 4096
√x² = √4096
x = 64
14. YES and 25 = 25
a² + b² = c²
3² + 4² = 5²
9 + 16 = 25
25 = 25
So this means that AB is tangent to the circle.
15. NO and 45 ≠ 49
a² + b² = c²
3² + 6² = 7²
9 + 36 = 49
45 = 49
So this means the AB is not tangent to the circle.
16. x = 4.5 and P = 52
To find the value of x, we need to determine the value of our hypotenuse.
QU is congruent to QT, therefore, QT = 4
UR is congruent with SR, therefore, UR = 13
PS is congruent to AB, therefore:
2x = 9
Divide both sides by 2
x = 4.5
The perimeter of a triangle is:
P = a + b + c
a = 9 + 4 or 13
b = 2(4.5) + 13 or 22
c = 4 + 13 or 17
P = 13 + 22 + 17
P = 52
17. x = 13 and P = 72
TJ is congruent to UJ, therefore, TJ = 13
x = 13
The perimeter of a parallelogram is:
P = 2(a+b)
a = HR + RK
b = KU + UJ
a = 13 + 5 or 18
b = 5 + 13 or 18
P = 2(18 + 18)
P = 2(36)
P = 72
18. x = 8 and P = 80
We know that part of the whole of 26 is 18 because one side is congruent to 18.
to find the value of the other half, we simply subtract 18 from 26.
26 - 18 = 8
x is congruent to 8, therefore x = 8
The line segment 14 is congruent to the opposite segment of x, therefore making the value 14.
So then we have:
a = 8 + 14 or 22
b = 26
c = 18 + 14 or 32
P = a + b + c
P = 22 + 26 + 32
P = 80
19. x = 6 and P = 52
Now we have the case of x + 2 is congruent to 8.
x + 2 = 8
Combine like terms.
x = 8 - 2
x = 6
Now that we have the value of x, we can simply look for the value of the line segment attached to it.
4 is congruent to the line segment attached to x + 2, therefore the value is 4.
To find the perimeter we have to add all sides together.
P = (8+5)+(5+9)+(9+4)+(8+4)
P = 52
20. x = 5, y = 2, z =10, and P = 68
Let's take this one step at a time.
First we look for x.
2x + 2 = 3x - 3
Combine like terms.
2x - 3x = -3 - 2
-x = -5
Divide both sides by -1.
x = 5
Now let's get the value of y.
5y - 2 = 3y + 2
Combine like terms.
5y - 3y = 2 + 2
2y = 4
Divide both sides by 2.
y = 2
Now let's look for z.
34 - 2z = z + 4
Combine like terms.
-2z - z = 4 - 34
-3z = -30
Divide both sides by -3.
z = 10
Now that we have the values of x, y, and z. We can substitute them to find the values of our segments.
2x + 2
2(5) + 2 = 12
3x - 3
3(5)-3 = 12
5y - 2
5(2) - 2 = 8
3y + 2
3(2) + 2 = 8
z + 4
10 + 4 = 14
34 - 2z
34 - 2(10)
34 - 20 = 14
Now that we have our values let's look for our perimeter.
P = a + b + c
P = (12 + 8) + (12 + 14) + (14 + 8)
P = 20 + 26 + 22
P = 68
HELP
Angie read 2 books in 5 days, and each book contained 415 pages. If Angie read the same number of pages each day, how many pages did she read per day?
A.
90
B.
166
C.
415
D.
830
Answer:
166
Step-by-step explanation:
5/2=2.5
415/2.5
=166
The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on this DVD in dollars and cents?
A} $25.92
B} $1.92
C} $19.20
D} $25.50
PLEASE HELP!!! AND SHOW WORK!!
Plz help me plz I’m begging plz help me plz I’m begging you plz help me plz it’s an emergency
C. Is the answer.. because A- can't be a whole number so x that out. integer can't have a decimal x that out. rational number are like square roots and so. so c is the best answer.
Answer: D
Step-by-step explanation:
Since it is a negative it can’t be a whole number. D is the right answer because 0 is a rational number.
31*20 hey can u help me solve this problem for me.
[tex] [/tex]
What is one of the most important rules to remember about eating heathly
Answer:
to not over eat an get the right amount of servings
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
The equation above gives the Celsius temperature, C, corresponding to the Fahrenheit temperature, F. Find the Celsius temperature equivalent to 95° F.
A.
63° C
B.
67° C
C.
40° C
D.
35° C
The answer is D. 35
You do 95-32=63 then, you do 63 x 5/9= 35.
(03.02 MC) Elevator 1 in a building moved from ground position to a final position of +17 feet. Elevator 2 in the same building moved from ground to a final position of –22 feet. Which statement best describes the final positions of these two elevators? (1 point)
Select one:
a. Elevator 1 is 17 feet below ground level, and elevator 2 is 22 feet above ground level.
b. Elevator 1 is 17 feet above ground level, and elevator 2 is 22 feet below ground level.
c. Elevator 1 is 17 feet above ground level, and Elevator 2 is 22 feet below the position of Elevator 1.
d. Elevator 1 is 17 feet below ground level, and Elevator 2 is 22 feet above the position of Elevator 1.
Answer: option b.
Step-by-step explanation:
Based on the information given, you know that:
- The ground is at 0 feet.
- The initial posititions of both elevators were at 0 feet (because both moved from the ground level).
Therefore:
- If the final position of Elevator 1 is at +17 feet (positive) means that it moved 17 feet above the ground level.
- If the final position of Elevator 2 is at -22 feet (observe the negative sign) means that it moved 22 feet below the ground level.