Answer:
y=5x+60 and y=110
Step-by-step explanation:
y represents your total
m represents your slope (the rate) (5)
x represents the fee every month which is unknown until you solve
b represents the fee that was mentioned first (60)
to solve the second part just replace x with 10 you you get y=5(10)+60
hope this helps :)
19. a television set is on sale for 15% off the original price. if the sale is $340, what was the original price of the televisions set?
Using the percentage method, we know that the original price of the TV set was $400.
What is the percentage?Percentages are just fractions with a denominator of 100.
To show that a number is a percentage, we place the percent sign (%) next to it.
For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).
So, we know that the percentage is always out of 100.
Then we automatically know that:
100% - 15% = 85%
We know:
85% = $340
15% = ?
Now, calculate the reduced price as follows:
85/340 = 15/x
85x = 15(340)
85x = 5,100
x = 5100/85
x = $60
Original price of the TV set:
Sold cost + Reduced cost
$340 + $60
$400
Therefore, using the percentage method, we know that the original price of the TV set was $400.
Know more about the percentages here:
https://brainly.com/question/9553743
#SPJ4
A company expands and hires some new employees. If the ratio of new employees to old employees in the company is 1 : 3, and there are now 1,200 people working for the company, how many new employees did the company hire?
Answer:
300 new employees
Step-by-step explanation:
1:3
x + 3x = 1,200
4x = 1200
x = 300
Susan travels at a rate of 60 miles per hour for 3 hours. her car uses on average one gallon of gas per 30 miles. how many gallons of gas does she use on her trip?
The average is calculated by adding up all the data sets, then dividing that total by the total number of data points. She used 6 gallons of gas on her trip.
What is meant by average?In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
The two unit rates of (30 miles per gallon) and can be used to convert three hours to gallons of gas (60 miles per hour).
30 miles = 1 gallon of gas used
For (30 × 2) 60 miles = 2 gallons of gas used
2 gallons of gas she used per hour.
Susan goes 180 miles in 3 hours (60 miles per hour).
Therefore,
For 3 hrs = 3 × 2 = 6 gallons of gas used.
To learn more about average, refer to:
https://brainly.com/question/1548973
#SPJ4
Please answer correctly !!!!!!! Will mark 50 points !!!!!!!!!!!!!!!!
Answer:
Hope it helps
Step-by-step explanation:
I think the answer to this question is 0
when you develop an argument with a major premise, a minor premise, and a conclusion, you are using
When you develop an argument with a major premise, a minor premise, and a conclusion, you are using deductive reasoning. When constructing an argument using deductive reasoning, three components are involved: a major premise, a minor premise, and a conclusion.
Deductive reasoning is a logical process where the conclusion is derived from the major and minor premises. The major premise is a general statement or principle that establishes a broad context or rule.
The minor premise is a specific statement or evidence that relates to the major premise. Finally, the conclusion is the logical inference or outcome that follows from the combination of the major and minor premises.
Deductive reasoning allows for the logical progression from general principles to specific conclusions, making it a valuable tool in fields such as mathematics, logic, and philosophy.
Learn more about Deductive reasoning here:- brainly.com/question/7284582
#SPJ11
A bag contains 37 coins consisting of only dimes and quarters. The total amount of money in the bag is $6.85. How many dimes are in the bag?
Answer:
Step-by-step explanation:
its 16
Dimes is the coin which is equal to the 0.10 dollar. The number of dimes in the bag is 16.
To find the number of dimes we need to know about dimes.
What is dimes and quarter?Dimes is the coin which is equal to the 0.10 dollar. Quarter is the coin which is equal to the 0.25 dollar.
Given information-
The total number of coins bag contains is 37.
The total amount of money in the bag is $6.85.
Let the number of Dimes in the bag is \(x\) and the number of quarter in the bag is \(y\).
As the the total number of coins bag contains is 37. Thus,
\(x+y=37\\\)
Solve the equation for y,
\(y=37-x\)
Let the above equation is equation number 1.
As total amount of money in the bag is $6.85. Thus,
\(0.10x+0.25y=6.85\)
Put the value of y in the above equation as,
\(\begin{aligned}\\0.10x+0.25(37-x)&=6.85\\0.10x+9.25-0.25x&=6.85\\0.15x&=6.85-9.25\\x&=\dfrac{2.4}{0.15} \\x&=16\\\end\)
Hence, the number of dimes in the bag is 16.
Learn more about the dimes and quarter coin here;
https://brainly.com/question/13821441
The table represents temperature for 9 days in February. what is the average temperature?
Answer:
42
Step-by-step explanation:
(38+45+28+50+52+48+60+30+27)/9
=42
write the equation of the line that passes through the given point and is parallel to the given line. (2,7);3x-y=5
Help!
Answer:
Step-by-step explanation:
Parallel lines have the same slope. The reference line is this case is 3x-y=5. Let's rearrange it into slope/intercept for of y = mx + b, where m is the slope and b is the y-intercept.
3x-y=5
-y=5 -3x
y=3x - 5
We see that the slope is 53. Our parallel line will have the same slope:
y = 3x + b
We need to find a value for b that forces the line through point (2,7). We can do that by entering the point into the equation and solving for b.
y = 3x + b
7 = 3*(2) + b for (2,7)
7 = 6 + b
b = 1
The line becomes y = 3x + 1
See attachment.
How to convert square feet to cubic yards?
To convert square feet to cubic yards, first determine the volume of the space by multiplying the length, width, and height of the space. Then divide the number of cubic feet by 27 to convert the measurement to cubic yards.
Converting square feet to cubic yards requires you to first determine the volume of the space you are measuring. To do this, multiply the length of the space by its width and then by its height. The result of this calculation will be in cubic feet. To convert this measurement to cubic yards, divide the number of cubic feet by 27. This is because there are 27 cubic feet in one cubic yard. For example, if you have a space that is 10 feet wide by 20 feet long by 4 feet high, the volume would be 800 cubic feet. To convert this to cubic yards, divide 800 by 27, giving you 29.63 cubic yards.
Learn more about cubic here:
https://brainly.com/question/30344308
#SPJ4
To convert square feet to cubic yards, first determine the volume of the space by multiplying the length, width, and height of the space. Then divide the number of cubic feet by 27 to convert the measurement to cubic yards.
Converting square feet to cubic yards requires you to first determine the volume of the space you are measuring. To do this, multiply the length of the space by its width and then by its height. The result of this calculation will be in cubic feet. To convert this measurement to cubic yards, divide the number of cubic feet by 27. This is because there are 27 cubic feet in one cubic yard. For example, if you have a space that is 10 feet wide by 20 feet long by 4 feet high, the volume would be 800 cubic feet. To convert this to cubic yards, divide 800 by 27, giving you 29.63 cubic yards.
Learn more about cubic here:
brainly.com/question/30344308
#SPJ4
Tree rings in dendrochronology are counted to yield precise dates in years, however, if the tree ring record for the specific region is not well established in order to utilize this dating technique samples from the tree have to be collected from a tree that is:
In dendrochronology, tree rings are counted to determine precise dates. However, if the tree ring record for a specific region is not well-established, samples need to be collected from a tree that is...
In order to utilize dendrochronology as a dating technique when the tree ring record for a particular region is not well-established, researchers must collect samples from a tree that serves as a reference or anchor. This tree, known as a master or living chronology, is typically an older, long-lived tree species that has a well-defined and uninterrupted growth pattern. By analyzing the tree rings of this master chronology, researchers can establish a timeline that extends back several centuries or even millennia. They can then compare the pattern of growth rings in the collected samples with the master chronology and determine the dates associated with each ring. This process relies on the principle that trees in the same region will respond similarly to environmental factors and exhibit similar growth patterns. Through careful analysis and cross-referencing, scientists can create a reliable tree ring record for the specific region, enabling accurate dating of samples collected from other trees in that area.
Learn more about samples here:
https://brainly.com/question/31845634
#SPJ11
please help me with this i give brainliest.
Answer:
Step-by-step explanation:
\(25+12.5v\ge 130\\ \\ 12.5v\ge 105\\ \\ v\ge 8.4\)
If an Energy Star refrigerator costs 2 cents less per hour to run, and if it runs for 16 hours a day, how much will it save in a year
The Energy Star refrigerator will save approximately $116.80 in a year compared to a non-Energy Star refrigerator.
To calculate the amount saved in a year, we need to determine the cost difference per hour and multiply it by the number of hours the refrigerator runs in a year.
Given that the Energy Star refrigerator costs 2 cents less per hour to run, it means the cost difference per hour is $0.02.
To find the amount saved in a year, we need to multiply the cost difference per hour by the number of hours the refrigerator runs in a year. Assuming the refrigerator runs for 16 hours a day, the number of hours in a year can be estimated as:
Number of hours in a year = 16 hours/day * 365 days/year
Now we can calculate the savings:
Savings in a year = Cost difference per hour * Number of hours in a year
Savings in a year = $0.02 * (16 hours/day * 365 days/year)
Savings in a year = $0.02 * 5840 hours
Savings in a year = $116.80
To know more about Energy Star refrigerator,
https://brainly.com/question/30758644
#SPJ11
2x + 6 = 2(x + 3)
How many solutions would it have
Answer:
an infinite amount of solutions
Step-by-step explanation:
do you want an explanation?
btw, plz brainliest
Answer: Infinite
Step-by-step explanation: :)
1. Which is the slope of the line that passes through points (1,1) and (2,7)
1a. Pick a point the line passes through above with the slope you calculated, find the y-intercept
1b. Now that you know the slope and y-intercept, what is the equation of the line ?
Answer:
y=6x-5
Step-by-step explanation:
1) Use slope formula to find the slope. Slope is 6
1a) Substitute (1,1) in the equation. -5
1b) y=6x-5
Hope this helps :-)
Please help me I only have 3 days to get it done
Answer: |-3\(\frac{1}{3}\)|, |3.1|, -3, -|-3\(\frac{1}{3}\)|, -3.75
Step-by-step explanation: When a number is surrounded by these (|...|), that means the number is an absolute value such as | 1 |. Absolute values are ALWAYS POSITIVE no matter if it's negative inside, this means | 1 | = 1 and | -1 | = 1. But, if the absolute value is negative on the outside such as -| 1 | this would be -1, therefore -| 1 | = -1 and -| -1 | = -1. Also, 1/3 is 0.333333333334 as a decimal and 1/5 is 0.20 as a decimal, therefore 3\(\frac{1}{3}\) is 3.33 and 3\(\frac{1}{5}\) is 3.20 or 3.2.
by definition a capable process is one that is operating at the so called ____ sigma level
by definition a capable process is one that is operating at the so called capability sigma level
The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly different when it comes to the number of defects present, which is a true statement because as we know process sigma indicates the process variation and is measured in terms of data units, while process sigma count Z, or process sigma level, is a count with no unit of measure and sigma is a statistical term that measures how much a process varies from perfection, based on the number of defects per million units. And also we know that a six sigma process is 1 in which 99.99966 percent of all chances to provide some characteristics of a part are statistically assumed to be free regarding defects.
learn more about of sigma here
https://brainly.com/question/14465812
#SPJ4
someone help me asap pleaseee!!
Answer:
B is correct.
3. Order these numbers from least to greatest. 0, 1,
1 8 4911 1
2' 9'100' 20' 13
20
ILL GIVE BRAINLESS I NEED THIS ASAP THO
Answer:
6
3
2
Step-by-step explanation:
A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?
$22.50
$27.50
$32.50
$37.50
If a is a positive integer and if the unit's digit of a2 is 9 and (a+1)2is 4, what is the unit's digit of (a+2)2?
A
1
B
3
C
5
D
9
If a is a positive integer and if the unit's digit of a2 is 9 and (a+1)2 is 4, then the unit's digit of (a+2)2 is 1.
We are given that a is a positive integer, and we need to find the unit's digit of (a+2)². To solve this problem, let's first analyze the information provided:
1. The unit's digit of a² is 9.
2. The unit's digit of (a+1)² is 4.
From the first piece of information, we can conclude that the unit's digit a must be either 3 or 7, as 3² = 9 and 7² = 49 (the unit's digit is 9).
Now, let's check the second piece of information. If the unit's digit of a is 3, then the unit's digit of (a+1) would be 4. Since 4² = 16 (unit's digit is 6), this doesn't match the given condition that the unit's digit of (a+1)² is 4.
So, the unit's digit must be 7. In this case, the unit's digit of (a+1) is 8. Since 8² = 64 (unit's digit is 4), this matches the given condition.
Now that we know the unit's digit of a is 7, let's find the unit's digit of (a+2)². If the unit's digit of a is 7, then the unit's digit of (a+2) is 9. Since 9² = 81 (unit's digit is 1), the unit's digit of (a+2)² is 1.
Therefore, the correct answer is:
A) 1
To learn more about positive integer, refer:-
https://brainly.com/question/18380011
#SPJ11
Find the measures of angles CFE and DEF.
The measure of the angle ∠DEF is 85 degrees and the measure of the angle ∠CFE is 57 degrees.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees.
In a cyclic quadrilateral, the sum of opposite angles is 180°.
∠DCE + ∠DEF = 180°
∠DEF = 180° - ∠DCF
∠DEF = 180° - 95°
∠DEF = 85°
Similarly for the other two angles, we have
∠CDE + ∠CFE = 180°
∠CFE = 180° - ∠CDE
∠CFE = 180° - 123°
∠CFE = 57°
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ1
apples cost $2.19 per pound, what equation best presents y, the total cost of x pounds of apples?
Please help now asap !!!!
what is indicated by a pearson correlation of r = +1.00 between x and y?
A Pearson correlation coefficient of +1.00 between two variables, X and Y, indicates a perfect positive correlation between them. This means that as the values of X increase, so do the values of Y, and vice versa.
In other words, the two variables are perfectly linearly related, and there is no variability in their relationship. A Pearson correlation coefficient of +1.00 is the strongest possible correlation coefficient, and it suggests that there is a direct and strong association between the two variables being measured.
For example, let's say we have data on the height and weight of a group of individuals. If we find a Pearson correlation coefficient of +1.00 between height and weight, it means that as a person's height increases, their weight will also increase perfectly in a linear fashion. This information can be useful in predicting weight based on height, or vice versa, and can help inform decisions related to health and fitness.
Overall, a Pearson correlation coefficient of +1.00 suggests that the two variables being measured have a strong and direct relationship, which can be useful in many different contexts.
Learn more about Pearson correlation here:
https://brainly.com/question/29879726
#SPJ11
Please help, I will be giving brainlist.
Answer:
b
Step-by-step explanation:
Answer:
o B 6 inches.
Step-by-step explanation:
Proportions:
13 in ⇔ 9.75 in
8 in ⇔ X in
X = 8*9.75/13
X = 6 in
If tan x° = 3 divided by y and co x° = y divided by z ,what i the value of in x°?
The value of in x° is sin x = 3/z
The ratio of an angle's opposing side to its adjacent side, or its tan
tan x = 3/y
cos x = y/z
We choose 3 and y to represent the opposite and adjacent sides, respectively, because this ratio is 3:y.
Technically, we ought to write 3t and yt, but we'll take a chance since y appears in the second ratio as well!
Since y is already used to represent the adjacent side, z is used to represent the length of the hypotenuse.
The right triangle's sides are now finished.
Because tan x = sin(x)/cos(x), therefore
sin x = tan(x)*cos(x)
= (3/y)*(y/z)
= 3/z
Answer: a) sin x = 3/z
Know more about sin
https://brainly.com/question/13729598
#SPJ4
1. If f(x) = -2x 2+ 7, then which of the following is the value of f(-2)?
(1) 1
(3) 15
(2) 23
(4) -1
Answer:4
Step-by-step explanation:
need help please hurry
Identify the solution set of the following quadratic inequality:
-a^2+4a+7>2
options
(-1,5)
(-∞,-1)∪(5,∞)
(-∞,-1]∪[5,∞)
(-∞,-3]∪[0,∞)
The solution set of the quadratic inequality is (-1,5)
What is Quadratic inequality?
Inequalities can take many various forms, just like equations, one of which is the quadratic inequality.
A second-degree equation with a quadratic inequality substitutes an inequality sign for an equal sign.
The two roots are always provided in the answers to quadratic inequality. Different types of roots may exist, and discriminating between them is possible (b2 – 4ac).
The following are the quadratic inequalities' generic forms:
ax2 + bx + c < 0
ax2 + bx + c ≤ 0
ax2 + bx + c > 0
ax2 + bx + c >= 0
According to the given question
-a^2 + 4a + 7 > 2
-a^2 + 4a + 5 >0
multiplying with - 1
a^2 -4a -5 < 0
a^2 - 5a + a - 5 < 0
a(a-5) + 1(a-5) < 0
(a+1)(a-5) < 0
a<-1 & a< 5
a is in between -1 and 5
(-1,5)
Learn more about Quadratic inequalities from the link below
https://brainly.com/question/13867761
#SPJ1