Answer:
p=-11/3
Step-by-step explanation:
3/5p-9/5=-4/*5
3p-9=-20
3p=-11
p=-11/3
Find the common difference of the arithmetic sequence. 6, 9.4, 12.8, 16.2, . . .
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:
Solve for x
6x - 2/4 =x - 2
Enter your answer in the box.
x =
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
what is the domain of the relation graphed below?
square root of 87 to the nearest 10th
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.
100 points! Find the slope of the image.
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
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
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.
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Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -2, through (-4,6)
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.
Which situation represents a propertional relationship between the hours worked and the amount earned fir matt and jane?
101) Nicole was 16 years old twelve years ago.
How old is she now?
help asap please!!!
Hey there! I think Nicole would be 28.
-8 is a term. true or false
Answer:
false
Step-by-step explanation:
18 = 3(3x − 6) multi step equations show all steps pls
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.
Solve the equation for x.
1/3 (6x - 15) = 1/2 (10x-4)
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
Write 8660 in scientific notation
Answer:
8.66 x 10^3
Step-by-step explanation:
8.66 * 1000 (10^3) = 8660
- Suppose Q is the midpoint of PR. Use the information to find the missing value. PQ = 3x + 14 and QR = 7x - 10; Find x.
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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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
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
(x+42)3x. solve for x
Answer: X is equal to either 0 or -42
Step-by-step explanation:
Write a division expression with a quotient of 20^{5}
Answer:
3200000
Step-by-step explanation:
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?
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
Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare.
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
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.
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
Can some one help me with my advanced math homework it’s due tomorrow
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:
6(x-2)/12=2(x+1)/7
What does x equal?
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]
5. What are the names of the segments ?
6. What are the names of the rays ?
Answer:
de ef and df
Step-by-step explanation:
A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $30?
Answer:
With $30, Peter can afford 5 hours
Step-by-step explanation:
Given
Insurance Charge = $7.5
Charges = $4.5 per hour
Required
Determine the number of hours $30 can afford
First, we need to determine the equation.
Total Charges = Charges per hour + Insurance Charge
Substitute values for Charges per hour and Insurance Charge
Total Charges = 4.5 per hour + 7.5
Let the number of hours be n;
So,
Total Charges = 4.5n + 7.5
To calculate Peter's; substitute 30 for total charges
[tex]30 = 4.5n + 7.5[/tex]
Subtract 7.5 from both sides
[tex]4.5n = 30 - 7.5[/tex]
[tex]4.5n = 22.5[/tex]
Divide both sides by 4.5
[tex]n = \frac{22.5}{4.5}[/tex]
[tex]n = 5[/tex]
Hence;
With $30, Peter can afford 5 hours
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
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
True or False: Segment AB is congruent to segment BC. A B C -2 0 1 3 Select one: True False
Mrs. Kim spent $4.77 on her favorite imported cheese. She bought 9/10 of a pound. Find how much cheese cost per pound.
Danny and 4 friend go to the movies. Each person buys a movie ticket for $10, a snack for $2 and a drink for $3. Write an expression which shows how much Danny and his friends spent.
8000647 dollars
Step-by-step explanation:
broggxtxycycuvuh8y7rtwh4w5iwutettixgdbf
i need help on this math problem
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