Answer:
9
Step-by-step explanation:
If S is between R and T, then RS+ST = RT
Given the following parameters
RS=2z+6,
ST=4z−3,
RT=5z+12
On substituting
2z+6+4z-3 = 5z+12
Collect like terms
2z+4z-5z = 12+3-6
6z-5z = 15-6
z = 9
Hence the value of z is 9
Four people P, Q, R and S have to sit on the four stools marked 1, 2, 3 and 4.
P goes and sits down on stool 4. Q does not want to sit on a stool that is immediately next to P's. Keeping this in mind, in how many different ways could Q, R and S arrange themselves on the remaining stools?
A) 6
B) 4
C) 3
D) 2
Tom worked 48 hours last week and gets time-and-a-half pay for overtime. His regular pay is $32 per hour. a) How much does he make for an hour of overtime?
Answer:
$48
Step-by-step explanation:
From the question we know that;
His regular pay is $32 per hour.
Tom worked 48 hours last week and gets time-and-a-half pay for overtime.
Time and a half pay = 1.5
Hence, if Tom works for an hour of overtime, his pay for his overtime is calculated as:
= 1.5 × $32 × 1
= $48
Therefore, he was paid $48 for one hour of overtime.
Need your help please. Please help me.
0.08
Step-by-step explanation:(4/5)/10 =
= 4/5 : 10/1
= 4/5 × 1/10
= ²⁾4/50
= 8/100
= 0.08
can u help me with the problem below
(-4)- 6
Since you are subtracting a negative you would add them together equaling -10
How many solutions are there to the equation below?
6x + 30 + 4x = 10(x+3)
O A. 1
B. Infinitely many
O c. o
Answer:
B
Step-by-step explanation:
6x + 30 + 4x = 10(x+3)
10x + 30 = 10x + 30
0 = 0
What type of number is pi?
Answer:
Pi is an irrational number
Step-by-step explanation:
Pi is an irrational number because it cannot be written down as a simple fraction.
Answer:
We know that pi is a number that never ends. Its decimals can be written out forever endlessly. Therefore, it must be an irrational number.
Step-by-step explanation:
First, let us go over the different types of numbers:
Natural Numbers - 1, 2, 3, ...
Whole Numbers - All natural numbers including 0
Integers - All whole numbers, both positive and negative
Rational Numbers - All numbers, both positive and negative that can be represented as a fraction. In other words, they have a terminating decimal point
Irrational Numbers - Numbers that cannot be written as a fraction. Numbers who have an infinite number of decimal points
Real Numbers - Includes everything else listed.
14. 9(y - 4) - 7y = 5(3y - 2
step by step please
Answer:
y=-2
Step-by-step explanation:
9(y−4)−7y=5(3y−2)
(9)(y)+(9)(−4)+−7y=(5)(3y)+(5)(−2)
9y+−36+−7y=15y+−10
(9y+−7y)+(−36)=15y−10
2y+−36=15y−10
2y−36=15y−10
Step 2:
2y−36−15y=15y−10−15y
−13y−36=−10
Step 3:
−13y−36+36=−10+36
−13y=26
divide
/13 /13
y=-2
Answer:
y=-2
Step-by-step explanation:
Simplifying
9(y + -4) + -7y = 5(3y + -2)
Reorder the terms:
9(-4 + y) + -7y = 5(3y + -2)
(-4 * 9 + y * 9) + -7y = 5(3y + -2)
(-36 + 9y) + -7y = 5(3y + -2)
Combine like terms: 9y + -7y = 2y
-36 + 2y = 5(3y + -2)
Reorder the terms:
-36 + 2y = 5(-2 + 3y)
-36 + 2y = (-2 * 5 + 3y * 5)
-36 + 2y = (-10 + 15y)
Solving
-36 + 2y = -10 + 15y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-15y' to each side of the equation.
-36 + 2y + -15y = -10 + 15y + -15y
Combine like terms: 2y + -15y = -13y
-36 + -13y = -10 + 15y + -15y
Combine like terms: 15y + -15y = 0
-36 + -13y = -10 + 0
-36 + -13y = -10
Add '36' to each side of the equation.
-36 + 36 + -13y = -10 + 36
Combine like terms: -36 + 36 = 0
0 + -13y = -10 + 36
-13y = -10 + 36
Combine like terms: -10 + 36 = 26
-13y = 26
Divide each side by '-13'.
y = -2
Simplifying
y = -2
What are each step in the process for solving an equation
Answer:
1. Simplify each side of the equation by removing parentheses and combining like terms.
2. Use addition or subtraction to isolate the variable term on one side of the equation.
3. Use multiplication or division to solve for the variable.
Graph t> -2 on a number line
Answer:
Step-by-step explanation:
Aaron throws a ball off the top of a building. The path of the ball can be modeled by
the equation y=-3x2 + 8x + 42 where y is the height of the ball and x is the time in
seconds since the throw.
A. How long will it take for the ball to hit the ground? Show all work to receive
credit
B. How tall is the building?
Answer: A: 60, since x = the amount of seconds and the 8 represents the seconds then you'll add 8x+42 and get 60
B: 54, now in this step find what -3x2 is which give you -6 since they're different signs then subtract and your answer will be 54
Step-by-step explanation:
A scale drawing of a rectangular garden has sides that measure 12 inches by 18 inches. The scale of the drawing is 1 inch =
is the area of the actual garden
Answer:
area is 216
Step-by-step explanation:
what is the solution to 1/5y+1/8=3/20
Answer:
y=1/8
Step-by-step explanation:
A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer: Rate of water flow is 12/5 gallon per minute
Step-by-step explanation:
Given the following :
Volume of faucet pot = 2 gallon
Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.
Rate of water flow:
Volume of faucet pot / time taken
= 2 gallon ÷ (5/6) minute
= 2 gallon × (6/5) minutes
= (12 /5) gallon / minute
= 2 2/5 gallon / minute
Hence rate of water flow is 12/5 gallon per minute.
Answer:
2 2/5
Step-by-step explanation:
2 2/5
Point V lies between points U and W on line UW. The distance between U and V is 2x-4, and the distance between V and W is 4x+10. If UW = 9x – 9, what is UW in units?
Answer:
36UNITS
Step-by-step explanation:
If point V lies between U and W, then UV+VW = UW
given parameters
UV = 2x-4
VW = 4x+10
UW = 9x-9
Substituting the given functions in the formula first, we will have;
2x-4+4x+10 = 9x-9
6x+6 = 9x-9
Collect like terms
6x-9x = -9-6
-3x = -15
x = -15/-3
x = 5
Substitute x = 5 into UW.
Since UW = 9x-9
UW = 9(5)-9
UW = 45-9
UW = 36
What is the answer please show work 7x + 4 = 5x + 10
Answer:
x=3
Step-by-step explanation:
subtract 5x from 7x
subtract 4 from 10
divide 2x and 6 by 2
Answer:
x=3
Step-by-step explanation:
7x +4 =5x +10
7x - 5x =10 - 4
2x =6
x=6 :2
x=3
7 ×3 +4 =5 ×3 +10
21 +4 =15 +10
25 =25
A student walked for 30 minutes at an average speed of 18 meter/min. What is the student’s distance traveled?
-:---:--
0.17 meters
9 meters
54 meters
540 meters
Help please idk how to do this
I hope this helped and have a great day.
You need to times 2/3 twice
-2/-3 * -2/3
Rewrite the equation by completing the square.
f(x) = x^2 - 2x + 17
f(x) = (x + |?|)^2 + |?|
Answer:
f(X)= (x-1)²+16
Hope this helps
1/100000 as a power of 10
Answer:
10⁻⁵
Step-by-step explanation:
1 / 100000
1 / 10⁵
10⁻⁵
After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the information in the question,
The given fraction is,
1/10000
The value, 100000 is in the denumerator so, the power should be in negative.
So, it can be written as,
1 × 10⁻⁵.
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2
What is the next term of the geometric sequence?
2, 10, 50,
Answer:
5
Step-by-step explanation:
2*5=10
10*5=50
Answer:
250
Step-by-step explanation:
as it raises it it multiplying by 5
Tristan wants to build a square garden in his backyard. If the garden is going to be 64 ft squared,
how many feet of material will he need for the perimeter of the garden? *
Answer:
32
Step-by-step explanation:
8*8=64
8+8+8+8=32
(because there are 4 sides)
Answer:
32
Step-by-step explanation:
(−2/3)x(1/6) please answer
Answer:
The answer would be -1/9. The decimal form would be -0. 111111. Hope this helped, and if it did, please like the answer and rate it. ty! :)
Answer:
- 1
9
Step-by-step explanation:
- 2
3 * 6
- 2
18
= - 1
9
What is the slope the line that passes through the points:
(-6, 14), (2, -18)
O-
4
О O
1
4
4.
-4
(-6, 14) and (2, -18)
To Find:The slope of the line that passes through the point.
Slope Formula:y2 - y1 / x2 - x1
Solution:-18 - 14 / 2 + 6
= -32 / 8
= -4
Answer:Option D. -4
Hanson has 38 pieces of candy. He gives away c of the pieces. Write an expression that
shows the number of pieces of candy Hanson has left.
Answer:
38-c
Step-by-step explanation:
We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.
Find the coordinates of the midpoint of segment H X given that H(–1,3) and X(7,–1). A. (3, 1) B. (0, 4) C. (–3, 1) D. (–4, 0)
Answer:
A [tex]MP= (3,1)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]
[tex]MP= (\frac{-1+7}{2})(\frac{3+-1}{2})[/tex] -1+7=6 3+-1=2
[tex]MP= (\frac{6}{2})(\frac{2}{2})[/tex] 6/2=3 2/2=1
[tex]MP= (3,1)[/tex]
Please Help! I need the answer.
Answer:
56
Step-by-step explanation:
I need to know how to get the answer with an explanation WHOEVER HELPS ME GETS A BRAINIEST SO PLEASE HELP
3(8⋅7−45)+5(6⋅4−1) Just checking to see if it is right
Answer: 148
Step-by-step explanation:
Answer:
3(8⋅7−45)+5(6⋅4−1) = 148
What is the value of the expression? 2/3+1/6
6
Simplify the following expression.
(9x2 - 3x + 7) + (-3x2 + 2)
A. 6x2 + 9
B. 12x2 - 3x + 5
C. 6x2 - 3x + 9
D. 6x2 + 3x + 9
The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.
Given equation,
[tex](9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)[/tex]
First of all, let's open the parentheses to combine the like terms for simplifying.
[tex]9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2[/tex]
Arranging the like terms, x² with x², x with x and constant terms near to each other.
[tex]9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2[/tex]
Simplying further,
[tex](9 - 3) {x}^{2} - 3x + 9[/tex]
[tex]6 {x}^{2} - 3x + 9[/tex]
So, the correct option is C
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