Answer:
(-0.5, 2)Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
Intersection point is the midpoint of either diagonal.
Let's take QS and calculate midpoint using midpoint formula:
Q(-2, -1), S(1, 5)x = (x1 + x2)/2 = (-2 + 1)/2 = -1/2 = -0.5y = (y1 + y2)/2 = (-1 + 5)/2 = 4/2 = 2Point (-0.5, 2) is the answer
PLEASE HELP ME GUYS!!!
1. The sum of six times a number, and 1, is equal to five times
the number. Find the number.
Answer:
-1
Step-by-step explanation:
To solve this word problem, we need to convert it into an equation. Let's first dissect the problem:
"The sum of six times a number and 1" -- since "sum" means addition, and "6 times" means 6 multiplied by some number, we can write this as: 6x + 1, where x stands for the unknown number
"is equal to five times the number" -- since "equals" means "=" and five times the number means 5x, where x stands for that same unknown number, we can write as: = 5x
Put it all together and we have
6x + 1 = 5x
Now we can solve our equation.
First, we need to get all of the like terms on each side of the equal sign. To do this, we will first subtract 1 from both sides:
6x + 1 - 1 = 5x - 1, which gives us 6x = 5x - 1
Next, we will subtract 5x from both sides:
6x - 5x = 5x - 5x - 1, giving us x = -1
-1 is the number
hope this helps
Answer:
x=-1
Step-by-step explanation:
6 x + 1 = 5 x
6 x - 5 x + 1 = 5 x - 5x
x +1 =0
x+1-1=-1
x=-1
what is the greatest conman factor of -32x3+41x4y
Answer:
x^3
Step-by-step explanation:
solve for x -2x + 2 = x -13
Answer:
x = 5
Step-by-step explanation:
Add 2x to both sides: 2 = 3x - 13
Add 13 to each side: 15 = 3x
Divide both sides by 3: 5 = x
Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15
isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect
Answer:
103 dimes and 108 quarters
Step-by-step explanation:
Given
[tex]Value = \$37.30[/tex]
[tex]Amount = 211[/tex]
Required
Determine the number of each coin collected
Represent dimes with D and quarters with Q.
[tex]1\ D= \$0.10[/tex]
[tex]1\ Q= \$0.25[/tex]
So:
[tex]0.10D + 0.25Q = 37.30[/tex] --- Value
[tex]D + Q = 211[/tex] --- Amount
Make D the subject in [tex]D + Q = 211[/tex]
[tex]D = 211 - Q[/tex]
Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]
[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]
Open brackets
[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]
Collect Like Terms
[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]
[tex]0.15Q = 16.2[/tex]
Make Q the subject
[tex]Q = 16.2/0.15[/tex]
[tex]Q = 108[/tex]
Substitute 108 for Q in [tex]D = 211 - Q[/tex]
[tex]D = 211 - 108[/tex]
[tex]D = 103[/tex]
2^3 - (12 divide 6) + 8
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Answer:
the proportion of workers from company B who purchsed coffee was pˆC=0.75
Step-by-step explanation:
Answer: pˆC=0.75
Step-by-step explanation:
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
is -4 greater than or less than -1?
Part of the population of 6,500 elk at a wildlife preserve is infected with a parasite. A random sample of 50
elk shows that 2 of them are infected. How many elk are likely to be infected?
Based on the sample, there will likely be
infected elk in the wildlife preserve.
Answer:
1,560
Step-by-step explanation:
What is 55 percent of 880?
Answer:
55% of 880= 484
Step-by-step explanation:
PLEASE HELP ME I CANT FIND THIS ANSWER ANYWHEREEEE
Answer: The first three
Step-by-step explanation:
Lia swam in a 0.61 in the pool for 2 weeks everyday how many meters did she swim
Answer:
8.54 meters
Step-by-step explanation:
0.61x14=8.54
A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
Answer:
4.5833feet
Step-by-step explanation:
Given the elevation of a water pipe as 4 7/12 feet
Expressing as decimal
4 7/12
= 4 + 7/12
= 4 + 0.5833
= 4.5833
Hence the elevation of the pipe expressed as a decimal is 4.5833feet
In order to solve the system of equations
{x-3y=2
{2x+y=11
Using the elimination method, which of the following steps could be used?
Answer:
Multiply the second equation by 3 and then add result to the first equation
Step-by-step explanation:
Given the equations :
x-3y=2
{2x+y=11
To solve by elimination :
Multiply one of either equations by a number to give a result such that adding the result to the other equation in the system leads to the removal of one of the unknown values.
By Multiplying the second equation by 3 and then add result to the first equation
Second equation becomes :
6x + 3y = 33
Adding the result to the first equation :
x - 3y = 2
6x + 3y = 33
___________
7x = 35
_________
Here, the y variable has been eliminated
Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in
Answer21.98
Step-by-step explanation:
PLEASE HELP! 10 points
Answer:
D
Step-by-step explanation:
Make it a triangle of side lengths 5 and 5 which means that 5√2 is the answer and D is the closest
Please help this might be easy for some people but I’m just not smart
Answer: D:(-1,4)
R:(-4,4)
Step-by-step explanation:
I hope that correct
Solve the proportion for k: 5/3 = ( k + 7 )/12
Answer: k = 13
5/3 = (k + 7)/12
⇔ 12.5/3 = k + 7
⇔ 20 = k + 7
⇔ k = 20 - 7
⇔ k = 13
Step-by-step explanation:
Answer:
k = 13
Step-by-step explanation:
To get k by itself, multiply both sides by 12 (left with 20 = k + 7). Next, subtract 7 from both sides (13 = k).
Tom earned a total of $88 last month. He earned $45 walking his neighbor's dog and b dollars for babysitting his younger brother. Which equation and solution represents the total amount Tom earned
HELP PLS ASAP PLS
Answer: 43 is the answer.
Step-by-step explanation:
43 because 45 + 43 is the only number that could equal 88 and the total that tom earned.
Answer:
(see below)
Step-by-step explanation:
First, assess your info:
- total of $88
- $45 for dog walking
- $b for babysitting
Now, use that info to write an equation to combine all of this info:
$45 + $b = $88
If you were to find b, however, you'll need to simplify:
$45 + $b = $88
$b = $88 - $45
b = $43
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
The probability of an incorrect conclusion is,
In 84 % of inspection, [tex]7.56\%[/tex] of them labeled as not defective but they are actually defective
Probability :It is given that,
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.
Of the devices checked, 84% are not defective.
Actual not defective is,
[tex]\frac{91*84}{100} = 76.44\%[/tex]
In [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective
But [tex]84- 76.44 = 7.56\%[/tex] of them labeled as not defective but they are actually defective
Learn more about Probability here:
https://brainly.com/question/24756209
the diameter of a gigantic Ferris wheel is 185 meters. if a man rides a ferris wheel for one revolution find how far he travels give the exact answer and the approximation using 3.14 for pi
Answer:
Step-by-step explanation:
You need to find out the circumference of the Ferris wheel
C=d*3.14=185*3.14=580.90 m
please help me I will make you brilliance
Answer:
Option B
Step-by-step explanation:
In this question , we just need to make "F" as the subject of the equation.
So, lets solve the equation.
[tex]R = \frac{F}{N + F}[/tex]
→ Multiplying (N + F) on both the sides ,
[tex]=> R \times (N + F) = \frac{F}{(N + F)} \times (N + F)[/tex]
[tex]=> RN + RF = F[/tex]
→ Substracting both the sides with RF ,
[tex]=> RN + RF - RF = F - RF[/tex]
[tex]=> RN = F - RF[/tex]
→ Taking F common from R.H.S ,
[tex]=> RN = F(1 - R)[/tex]
→ Dividing both the sides by (1 - R) ,
[tex]=> \frac{RN}{1 - R} = \frac{F(1 - R)}{(1 - R)}[/tex]
[tex]=> \frac{RN}{1 - R} = F[/tex]
∴ Hence , [tex]F = \frac{RN}{1 - R}[/tex]
on Monday 76 students played soccer on Tuesday 62 students play soccer on Wednesday 68 students play soccer how many more students played soccer on Tuesday and Wednesday combine then on Monday.
Answer:
The correct answer is 54
Step-by-step explanation:
Add Tuesday and Wednesday together
62+68=130
Subtract the sum of both days by Monday
130-76=54
I need help, it’s geometry:
Answer: The area is 5x + 20
Step-by-step explanation:
Add all the numbers up.
7 + 4x - 8 = 3
13 + (x + 8) = (x + 21)
Therefore, your answer is 5x + 20
Let me know if you have any questions!
56+7= _ + _ =
using number bonds by making a 10 or adding to the ones
Answer:
60+3
Step-by-step explanation:
Combine like terms to determine which expression is equivalent to 12+5t−4+15t+1
Answer:#
9+20t
Step-by-step explanation:
I’ll give Brainliest for the answer please
Answer:
1176 squared units
Step-by-step explanation:
You need to use the formula for finding area (Length x Width) to find the surface area of each face. For example, 7 times 21 is 147, so that face by itself is 147 squared units
Consider the polygon in the xy-coordinate plane with vertices at points (-2,0), (3,0), (4,-3), and (2,-6). What is the most specific name for this polygon?
A. Kite
B. Parallelogram
C. Rectangle
D. Square
Answer: rectangle
Step-by-step explanation: Because I saw another Brainly answer saying it was rectangle
plot 9/10 and 1 2/5 on the number line below