Analysing the Question:
We are given the following equations:
x - y = 4
x + y = 9
writing these equations in slope-intercept form
y = x - 4
y = -x + 9
the general form of the slope-intercept equation is : y = mx + b (where m is the slope and b is the y-intercept)
Hence, we can say that the for Equation 1:
Slope = 1
y-intercept = -4
For equation 2:
Slope = -1
y-intercept = 9
Finding if the lines are Perpendicular, parallel or neither
If the slope of the lines is equal, the lines are parallel
If the slope of the lines is the additive inverse (negative) of each other, the lines are perpendicular
Since the slopes of the 2 lines are the additive inverse (negative) of each other, the lines are perpendicular [slope 1 = 1 , slope 2 = -1]
PLEASE HELP ME!
An angle is 1/3 the measure of its complement. What is the measure of the angle, the complement and the supplement?
Answer:
Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg
Step-by-step explanation:
22.5 is 1/3 of 67.5
so compliment is 67.5.
Supplement is just adding another angle so I chose 7.
I did 22.5 x 7 = 157.5
Another example would be:
Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)
Hope this helps :)
4(1-x)+2x=-3(x+1) solve for X
Answer:
x=-7
Step-by-step explanation:
4(1-x)+2x=-3(x+1)
4-4x+2x=-3x-3
4-2x=-3x-3
-2x=-3x-7
x=-7
You are buying a new bicycle. The table shows the prices of bicycles at a store. You are willing to pay the mean price with an absolute deviation
of at most $60.
Select which inequalities represent the prices you are willing to pay.
Bicycle prices:
$350 $450 $180 $200
$290 $325 $240 $445
x-60 S 310
| x + 60 < 310
1 x + 310 < 60
x < 250 or x > 370
X - 310 < 60
250 < x < 370
Answer:
250 < x < 370
Step-by-step explanation:
From the given bicycle prices, we first calculate the mean.
Mean = ⅛($350 + $450 + $180 + $200 + $290 + $325 + $240 + $445)
Mean = ⅛(2480)
Mean = $310
Next, is to determine the amount willing to pay using.
Amount = Mean ± Absolute Deviation
Amount = $310 ± $60
This can split as follows
Amount = $310 + $60 or Amount = $310 - $60
Amount = $370 or $250
Represent as an inequality, we have:
250 < x < 370
Larson's Deli orders brisket delivered every month, Last month the order was for 38 pounds and
cost $304, including delivery charges, which are always the same for any size order. The delivery
company charges $38 for delivery. How much will this month's order for 50 pounds cost, including
delivery charges?
A
$350
B.
$388
С
$400
D
$438
Answer: The answer is 388$
Step-by-step explanation:
First we need to know our domain and range. our domain is POUNDS and range is TOTAL COST of the delivery AND briskit. Next, we need to find how much the briskit cost by itself. The brisket is 38 pounds. So to do this, we use need to subtract; y - x = briskit cost. It would look like this if you plug in the units:
304 - 38=266
Now we are going to find how much EACH POUND COSTS. To do this, all we have to do is divide the briskit cost and how much the briskit weighs:
266/38=7
Now that we know how much the briskit cost and how much each briskit weighs, we are going to use the formula y=mx+b so that we can plug in 50 pounds for our x. It would look like this if you plug in the units:
y= 7x+ 38
y= 7(50) + 38= 388$
*Don't forget the dollar sign :) *
Identify the correct list of factors for the number 24.
1, 2, 4, 6, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
1, 2, 4, 7, 12, 24
1, 2, 3, 8, 12, 24
PLS HELP QUICKLY WILL GIVE BRAINLIEST
Answer:
the first one
Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist
Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many pennies do you have on the 113th day?
Answer:
904
Step-by-step explanation:
8 x 113 = 904
Pls help for Algebra 11b = 143
Answer:
b = 13
Step-by-step explanation:
Divide 143 by 11
Which answer is it? I dont get it
Answer:
10% of the answer should be 6
Step-by-step explanation:
Help me Idk how to do this one
Answer:
Hmm im not sure
Step-by-step explanation:
please help, I can't get it
(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?
−2x+y=−5
2x+y=−5
−2x+y=5
−2x+y=−11
Answer: −2x+y=−11
(4,-3) = −2x+y=−11.
Answer: −2x+y=−11.
Suppose a carpenter's ruler was marked in thirty-seconds. What would be the fraction and its decimal equivalent for the mark on the ruler between 29/32 and 30/32?
Answer:
the fraction and its decimal equivalent for the mark on the ruler
= 59/64 = 0.921875
Step-by-step explanation:
Given that;
A CARPENTER 's ruler is marked in thirty seconds
mark on the ruler between 29/32 and 30/32 is the average of the values
we know that average is the summation of all terms divided by the number of appearance of terms
so
= (29/32 + 30/32) / 2
= ((29 + 30) / 32) / 2
= (59 / 32) / 2
= 59 / 64
= 0.921875
therefore the fraction and its decimal equivalent for the mark on the ruler = 59/64 = 0.921875
State the x and Y intercepts of the equation y=2/3x - 1/3
Answer:
x intercept is (1/2, 0).
y intercept = (0, -1/3)
Step-by-step explanation:
2/3x - 1/3 = 0
2/3x = 1/3
x = 1/3 * 3/2
x = 1/2.
y = 2/3(0) - 1/3 = -1/3.
Given that a=4,b=2 and c=-1, find the value of a-b+c
Answer:
1
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
a - b + c
a = 4
b = 2
c = -1
Step 2: Solve
Substitute: 4 - 2 - 1Subtract: 2 - 1Subtract: 1In an office building, 39 offices are currently being rented. This represents 30% of the total units. How many offices are there in the building?
There are __ offices in the building
Answer:
130 offices are in the building
Step-by-step explanation:
first 39/x = 30/100
secondly, you cross multiply 39 x 100 and 30 x x
100 x 39= 3900
3900/30 = 130
Answer:
ANS. = 130
30% or 30/100=39offices
use cross multiplication
100/30 x 39/1 (note 30/100 is inversed to 100/30) math. law
10/3 x 39/1 (using divisor 10)
10/1 x 13/1 (using divisor 3)
10 x 13 = 130
Ans = 130 offices
Ans.Checked
30% of 130 offices
30/100 x 130/1
3/10 x 130/1 (10 as divisor)
3/1 x 13/1 (10 as divisor)
3 x 13 = 39
39 offices
Q.E.D
HELPPPPPP
Giving that you already know what your grades are on your report card. Please write 1 paragraph on how you would like to improve your grade in math and what steps you plan to take to do so.
my grades are A's and B's and one C. my grade in her class is a B!! help me!!!
Answer:
I will study and make sure that I'm not missing any assignments. I will try and do my best even when I dont understand. I will ask you for help if I need it. I will do my best. I will be the best student I can be. I will go to tutoring.
Step-by-step explanation:
Make sure that it sounds like you talking so she does not get suspicious
Answer: Pay more attention
Step-by-step explanation: Focus more and study more than the average human which is 1-2 hours per day, i would recommend either 3-5 every day INCLUDING WEEKENDS.
For instance, i have a 91 in math, that is because i work hard and pay attention. also because of the people who answered my question and ranked it up to a 91, so my explanation is, Pay more attention. try, https://blog.powerscore.com/gre/10-ways-to-effectively-study-vocab-words/
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.2 gallons. The mean water usage per family was found to be 15.8 gallons per day for a sample of 669 families. Construct the 90% confidence interval for the mean usage of water. Round your answers to one decimal place.
Answer:
The 90% confidence interval is [tex]15.66< \mu < 15.94 [/tex]
Step-by-step explanation:
From the question we are told that
The population standard deviation is [tex]\sigma = 2.2[/tex]
The sample mean is [tex]\= x = 15.8 \ gallon[/tex]
The sample size is n = 669
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.645 * \frac{ 2.2}{\sqrt{669} }[/tex]
=> [tex]E = 0.1399[/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]15.8 - 0.1399 <\mu< 15.8 + 0.1399 [/tex]
=> [tex]15.66< \mu < 15.94 [/tex]
I don't understand how to explain the answer will you help pls I will give you 50 pts if you help me!
Answer: Whats the question? I dont see
Step-by-step explanation:
Find the measures of the missing values.
Company Bloses $1.575 for every employee who quits before 90 days. What is the
total amount the company will lose if 2 employees quit before 30 days, 1 employee
quits on Day 41, and 1 employee quits on Day 100?
Answer:
43
Step-by-step explanation:
I need to know how to write a equation number sentence for my time traveled from 2020 to 2000
Answer:
explain further or send a picture of what you mean and then I can help you
can yall help me out please.
Answer:
which one equals 12? option C
Step-by-step explanation:
How do you write 7.28 x 104 in standard form?
3 over 5 =nothing over 20
ion even know yet
gyfujkl;kjbhvgfcdxsrtuiokl;, nbvghjkjhbgyu
Find two consecutive integers whose product is 12 more than the square of the smaller
number.
Answer: The product of two consecutive even numbers is 12 more than the square of the smaller number. The product of the numbers is 6 and 8 is 48. Square of the smaller number (here 6) is 36. so, 12 + 36 = 48.
hope this helps:)
Step-by-step explanation:
. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments
Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is [tex]M_1 = 55[/tex]
The variance is [tex]s^2_1 = 8[/tex]
The second mean is [tex]M_2 = 52[/tex]
The second variance is [tex]s^2_2 = 4[/tex]
Let the level of significance be [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : M_1 = M_2[/tex]
The alternative hypothesis is [tex]H_a : M_1 \ne M_2[/tex]
Generally the test statistics is mathematically
[tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]
=> [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]
=> [tex]t = 1.1619 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 12 -1[/tex]
=> [tex]df = 11 [/tex]
Generally from the t- distriibution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex] is
[tex]t_{0.05 , 11} = 2.20098516[/tex]
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Main Menu
Solve the equation
Unit 2
- 8c+7= -25
Section 3.2
Section 3.3
Section 9.3
Section 9.5
Section 9.6
Answer:
c = 4
Step-by-step explanation:
Solve for"c" in the following equation:
- 8 c + 7 = - 25
Subtract 7 from both sides:
- 8 c = - 25 - 7
combine like terms
- 8 c = -32
divide both sides by "-8" to isolate c on the left
c = - 32 / (-8)
c = 4
A supply of foods last for a week for 20 families. how long would the supply last for 3 more families.?
Given that,
A supply of foods last for a week for 20 families.
It is required to find the time that would the supply last for 3 more families.
20 families = 1 week = 7 days
If 3 more families joined, total no of families are now 23.
It means that,
1 family= (20/7) days
Now,
23 family =
[tex]\dfrac{20}{7}\times 23=65.71\ \text{days}\\\\\approx 66\ \text{days}[/tex]
So, the supply will last for 66 days.
Lowest common multiple of 8 and 6
Answer:
answer is 24 hope this helps! :)