Answers
Answer:
x = 2
y = 3
Step-by-step explanation:
x = 3y - 4
5x + 2y = 31 in the second equation replace x with 3y - 4
5 (3y - 4 ) + 2y = 31 multiply 5 with inside the parenthesis
15y - 20 + 2y = 31 add like terms
17y = 51
y = 3
Now, since we found the value of y we can use it to calculate x
x = 3y - 4
x = 3×3 - 4
x = 2
Related Questions
Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -2, through (-4,6)
Answers
Answer:
y= -2x -2
Step-by-step explanation:
slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
Susbt. m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a pair of coordinates.
When x= -4, y= 6,
6= -2(-4) +c
6= 8 +c (expand)
c= 6 -8 (-8 on both sides)
c= -2 (simplify)
Thus, the equation of the line is y= -2x -2.
100 points! Find the slope of the image.
Answers
Answer:
5/2
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
A has points ( -2,0) and (0,5) as points on the line
m = ( 5-0)/( 0 - -2)
( 5-0)/( 0 +2)
= 5/2
The lines B and C are parallel so they have the same slope 5/2
18 = 3(3x − 6) multi step equations show all steps pls
Answers
Answer:
x=4
Step-by-step explanation:
18 = 3(3x − 6)
Divide each side by 3
18/3 = 3( 3x-6)/3
6 = 3x-6
Add 6 to each side
6+6 = 3x-6+6
12 = 3x
Divide by 3
12/3 = 3x/3
4 =x
Answer: 4 = x
Step-by-step explanation: To solve this equation, we start by
distributing the 3 through the parenthses on the right side.
3(3x) is 9x and 3(-6) is -18.
So our equation now reads 18 = 9x - 18.
Our next step is to get the x term by itself on the right side.
So we add 18 to both sides to get 36 = 9x.
Now divide both sides by 9 to get 4 = x.
Write 8660 in scientific notation
Answers
Answer:
8.66 x 10^3
Step-by-step explanation:
8.66 * 1000 (10^3) = 8660
This is the answer
Planes A and B intersect. Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m intersects line n at point W. Which describes the intersection of line m and line n? point W point X point Y point Z
Answers
Answer:
A.point W
Step-by-step explanation:
The point that describes the intersection of line m and line n is point W. The correct option is A.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
As it is given that Line m intersects line n at point W. Therefore, The point that describes the intersection of line m and line n is point W. Thus, the correct option is A.
Learn more about Line:
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Write a division expression with a quotient of 20^{5}
Answers
Answer:
3200000
Step-by-step explanation:
Mrs. Kim spent $4.77 on her favorite imported cheese. She bought 9/10 of a pound. Find how much cheese cost per pound.
Answers
Formulae
The formula for working out the amount of
pasta, in grams, for a meal is
Amount of pasta=125 x number of people
Work out the amount of pasta needed for
A) 2 people
B) 10 people
Answers
Answer:
A) 250
B) 1250
Step-by-step explanation:
Amount = 125 x no. People
A) amount = 125 x 2 =250g pasta
B) amount = 125 x 10 =1250g pasta.
Hope this helped!
5. What are the names of the segments ?
6. What are the names of the rays ?
Answers
DF
Answer:
de ef and df
Step-by-step explanation:
Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare.
Answers
Answer:
$9.00
Step-by-step explanation:
0.75 times 12 equals 9
Answer:
the answer is they are both the same
Step-by-step explanation:
be i took the test
101) Nicole was 16 years old twelve years ago.
How old is she now?
help asap please!!!
Answers
Hey there! I think Nicole would be 28.
A thermometer comes with a guarantee that the stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit. Write an equation to represent the minimum and maximum actual temperatures when the thermometer states that the temperature is 87.4 degrees Fahrenheit.
Answers
Answer:
The equation is;
T = 87.4 ± 1.5
Maximum value of T = 88.9 °F
Minimum value of T = 85.9 °F
Step-by-step explanation:
We are given the stated temperature as 87.4 °F
Now, we are told that this stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit.
Thus, if the actual temperature is T, it means that T should either be 1.5 more than 87.4 or 1.5 less than 87.4.
Thus the equation is;
87.4 ± 1.5 = T
So maximum value of T = 87.4 + 1.5 = 88.9 °F
While minimum value of T = 87.4 - 1.5 = 85.9 °F
square root of 87 to the nearest 10th
Answers
Answer:
9.3
Step-by-step explanation:
Step 1: Calculate. We calculate the square root of 87 to be: √87 = 9.32737905308882.
Step 2: Reduce. 9.32.
Step 3: Round. Round 9.32 so you only have one digit after the decimal point to get the answer: 9.3.
-8 is a term. true or false
Answers
Answer:
false
Step-by-step explanation:
Find the common difference of the arithmetic sequence. 6, 9.4, 12.8, 16.2, . . .
Answers
Answer:
The answer is 3.4Step-by-step explanation:
The sequence above is an arithmetic sequence
So in order to find the common difference subtract the previous term from the next term
So we have
Taking 9.4 and 6
That's
9.4 - 6 = 3.4
Taking 12.8 and 9.4
12.8 - 9.4 = 3.4
Taking 16.2 and 12.8
16.2 - 12.8 = 3.4
Since the common difference is the same for any of the terms taken , the common difference is 3.4
Hope this helps you
Answer:
3.4
Step-by-step explanation:
True or False: Segment AB is congruent to segment BC. A B C -2 0 1 3 Select one: True False
Answers
- Suppose Q is the midpoint of PR. Use the information to find the missing value. PQ = 3x + 14 and QR = 7x - 10; Find x.
Answers
Answer:
x =6
Step-by-step explanation: Q is the midpoint of PR.
Therefore PQ = QR
3 x + 14 = 7 x -10
-14 -14
3 x = 7 x-24
-7x -7x
-4x = -24 Divide both sides by -4
x = 6
The value of x for PQ = 3x + 14 and QR = 7x - 10 is 6 units.
What is midpoint of line segment?
The midpoint divides the line segment into two equal parts.
It is given that Q is the midpoint of PR which implies Q will divide PQ into two equal parts that is PQ (3x+14) equals QR (7x-10). now calculating x value :
[tex]\begin{aligned}PQ&=QR\\3x+14&=7x-10\\7x-3x&=14+10\\4x&=24\\x&=6\end{aligned}[/tex]
Therefore, the value of x for PQ = 3x + 14 and QR = 7x - 10 is 6 units.
Read more about intersection at:
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Solve 1. At a concert, a band sold t-shirts for $18 and hats for $12. They sold 60 t-shirts and hats combined for a total of $870. How many t-shirts did they sell? How many hats?
Answers
Answer:
25 t-shirts and 35 hats were sold
Step-by-step explanation:
Here, we want to calculate the number of hats and the number of t-shirts sold.
Let the number of hats be h and the number of t-shirts be t
The sum of both is 60;
Mathematically;
h + t = 60 •••••••••••(i)
The total revenue from selling h hats at $12 per one is 12 * h = $12h
The total revenue from selling t t-shirts at $18 per one is 18 * t = $18t
So the addition of this gives the total;
12h + 18t = 870 ••••••••(ii)
From i, h = 60-t; substitute this into ii
12(60-t) + 18t = 870
720 -12t + 18t = 870
720 + 6t = 870
6t = 870 -720
6t = 150
t = 150/6
t = 25
From the substitution;
h = 60-t
h = 60-25
h = 35
Answer:
48 hats
Step-by-step explanation:
im not sure if this is the right answer but i hope this helps
Can some one help me with my advanced math homework it’s due tomorrow
Answers
Answer:
1.) 88
2.) 196
3.) 63
4.) 90
5.) 367.142857143
6.) 695. 2 repeating
7.) 109.285714286
8.) 63.5593220339
Step-by-step explanation:
Which pair of fractions shows a correct comparison? A.2/3 = 5/10 B.2/3 1/9 D.1/3 = 3/10 E.1/3 > 5/6 F.1/3 < 4/12
Answers
6(x-2)/12=2(x+1)/7
What does x equal?
Answers
Answer:
x=6
Step-by-step explanation:
1. First, distribute the numerator. That leaves you with:
[tex]\frac{6x-12}{12} =\frac{2x+2}{7}[/tex]
2. Now, cross multiply. You should have:
[tex]7(6x-12)=12(2x+2)[/tex]
3. Next, simplify and solve the equation for x. You should have:
[tex]7(6x-12)=12(2x+2)[/tex]
[tex]42x-84=24x+24\\42x=24x+108\\18x=108x=6[/tex]
Solve the equation for x.
1/3 (6x - 15) = 1/2 (10x-4)
Answers
Answer:
x = - 1Step-by-step explanation:
[tex] \frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)[/tex]
Expand the terms in the bracket
That's
[tex] \frac{1 }{3} \times 6x + \frac{1}{3} ( - 15) = \frac{1}{2} (10x) + \frac{1}{2} ( - 4) \\ 2x - 5 = 5x - 2[/tex]
Subtract 5x from both sides
[tex]2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2[/tex]
Add 5 to both sides
[tex] - 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3[/tex]
Divide both sides by - 3
[tex] \frac{ - 3x}{ - 3} = \frac{3}{ - 3} [/tex]
We have the final answer as
x = - 1Hope this helps you
Jennifer is saving money to buy a bike. The bike costs $246. She has $138 saved, and each week she adds $18 to her savings.
How long will it take her to save enough money to buy the bike?
Answers
Answer: 8 weeks
explanation: 125 + 15x = 245
You then have to subtract 125 from both sides so we can isolate our variable which will give us 15x = 120 . Divide 15 from both sides : 15x/15 = 120/15 which will give us x = 8.
The transitive property of equality states that _____. if a = b, then b = a if a = b, then ac = bc if a = b and b = c, then a = c if a = b and c = c, then a + b = b + c
Answers
Answer:
If a = b and b = c, then a = c
Step-by-step explanation:
The transitive property of equality tells us that if we have two things that are equal to each other and the second thing is equal to a third thing, then the first thing is also equal to the third thing.
Answer:
If a = b and b = c, then a = c
Step-by-step explanation:
i got it right on a test
Solving the equation x + 2(x – 5) = 320
will need the following steps:
1. x + 2x + 10 = 320
II. 3x + 10 = 320
III.
3x = 310
310
IV.
x =
3
Which step above is incorrect?
A Step
B Step III
C Step IV
D All steps are correct
Lo
Answers
Answer:
A. Step I
Step-by-step explanation:
Appropriate application of the distributive property would give ...
x +2x -10 = 320 . . . . . . . does not match step I
Further solution steps would be ...
3x -10 = 320
3x = 330
x = 110
what is the domain of the relation graphed below?
Answers
I believe it’s the third answer!
Explanation:
The domain is what x values there can be, and the relation is between -4 and 4.
Which situation represents a propertional relationship between the hours worked and the amount earned fir matt and jane?
Answers
Solve for x
6x - 2/4 =x - 2
Enter your answer in the box.
x =
Answers
Answer:
0.3
Step-by-step explanation:
you would add -2/4 to both sides and subtract x from both sides to get 5x=1.5 which you can reduce to 0.3
i need help on this math problem
Answers
-(1,5)
(x+42)3x. solve for x
Answers
Answer: X is equal to either 0 or -42
Step-by-step explanation: