find the slope of a line parallel to the line whose equation is 5x - 6y = 30. fully simplify your answer 
Answers
By answering the presented questiοn, we may cοnclude that Since a line equatiοn parallel tο this οne will have the same slοpe, the slοpe οf the parallel line is alsο 5/6.
What is equatiοn?When twο expressiοns are equal, a mathematical equatiοn is a statement stating that equality. Twο sides are jοined by the algebraic symbοl (=), and tοgether they make up an equatiοn. Fοr instance, the claim that "2x + 3 = 9" means that "2x plus 3" equals the number "9" is made in this argument. Finding the value(s) οf the variable(s) necessary fοr the equatiοn tο be true is the gοal οf sοlving equatiοns.
There are variοus types οf equatiοns, including regular and nοnlinear οnes with οne οr mοre elements. "x² + 2x - 3 = 0" is an equatiοn that raises the variable x tο the secοnd pοwer. Mathematical disciplines like algebra, calculus, and geοmetry all make use οf lines.
the given equatiοn:
\($\begin{array}{c}{{5x-6y=30}}\\ {{-6y=-5x+30}}\\ {{y=(5/6)x-5}}\end{array}$\)
Sο the slοpe οf the given line is 5/6.
Since a line parallel tο this οne will have the same slοpe, the slοpe οf the parallel line is alsο 5/6.
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Related Questions
A shoe string is cut in to equal pieces that measure 0.50 of an inch. If the shoe string measures 7.50 inches, how many equal pieces can be cut?
Answers
. A group of Great Danes have a mean weight of 128 pounds with a standard deviation of 12 pounds. A group of
Chihuahuas have a mean weight of 9 pounds with a standard deviation of 2 pounds. A 112-pound Great Dane
and a 12-pound Chihuahua were found playing at the dog park. Which dog is considered to be further from the
mean? Make sure you are using z-score to answer this question.
Answers
The Chihuahua is considered to be further from the mean.
What is z-score?A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.
It measures the unusual or extreme a particular data point is compared to the rest of the distribution
We have,
For the 112-pound Great Dane.
The z-score.
z = (x - μ) / σ
z = (112 - 128) / 12
z = -1.33 ____(1)
For the 12-pound Chihuahua.
The z-score.
z = (x - μ) / σ
z = (12 - 9) / 2
z = 1.5 ______(2)
From (1) and (2),
The z-score for the Chihuahua (1.5) is larger than the z-score for the Great Dane (1.33).
Thus,
We can conclude that the Chihuahua is considered to be further from the mean.
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EASY POINTS
What is the slope-intercept equation of this line?
Answers
Answer:
B
Step-by-step explanation:
The y-intercept is 8
The slope is -2x
Therefore the slope-intercept is y = -2x + 8
In a city with a population of 65,000 people the number of people p(t) exposed to a rumor in t hours is given by the function p(t)=65,000(1-e^-0.0009t) round your answers to the nearest hour.Find the number of hours until 20% of the population have heard the rumor.Find the number of hours until 60% of the population have heard the rumor.
Answers
Solution
Given:
\(\begin{gathered} \text{The model } \\ p(t)=65,000(1-e^{-0.0009t}) \end{gathered}\)Where t = number of hours
We are required to find the number of hours until 20% and 60% of the population have heard the rumor.
(A) Find the number of hours until 20% of the population have heard the rumor:
20% of the population =
\(\begin{gathered} \frac{20}{100}\text{ x total population} \\ =\frac{20}{100}\text{ x 65,000} \\ =13,000 \end{gathered}\)\(\begin{gathered} \text{Substitute p(t) = 13000 into the model} \\ p(t)=65,000(1-e^{-0.0009t}) \\ 13,000=65,000(1-e^{-0.0009t}) \\ \frac{13000}{65000}=1-e^{-0.0009t} \\ 0.2=1-e^{-0.0009t} \\ 0.2-1=-e^{-0.0009t} \\ -0.8=-e^{-0.0009t} \\ e^{-0.0009t}=0.8 \\ \text{take ln of both sides} \\ \ln e^{-0.0009t}=\ln 0.8 \end{gathered}\)\(\begin{gathered} -0.0009t\ln e=-0.22314 \\ -0.0009t(1)=-0.22314 \\ t=\frac{-0.22314}{-0.0009} \\ t=247.933 \\ t=248\text{ hours (nearest hour)} \end{gathered}\)The number of hours until 20% of the population have heard the rumor is 248 hours
(b) Find the number of hours until 60% of the population have heard the rumor
60% of the population =
\(\begin{gathered} \frac{60}{100}\text{ x 65000} \\ =39000 \end{gathered}\)\(\begin{gathered} \text{Substitute p(t) =39000 into the model} \\ p(t)=65,000(1-e^{-0.0009t}) \\ 39000=65,000(1-e^{-0.0009t}) \\ \text{Divide both sides by 65000} \\ \frac{39000}{65000}=\frac{65,000}{65000}(1-e^{-0.0009t}) \\ \\ 0.6=1-e^{-0.0009t} \\ 0.6-1=-e^{-0.0009t} \\ -0.4=-e^{-0.0009t} \\ 0.4=e^{-0.0009t} \\ e^{-0.0009t}=0.4 \\ \text{take ln of both sides} \\ \ln e^{-0.0009t}=\ln 0.4 \\ -0.0009t\ln e=\ln 0.4 \\ -0.0009t(1)\text{ = -0.9162} \\ -0.0009t\text{= -0.9162} \\ t=\frac{-0.9162}{-0.0009} \\ t=1018.1 \\ t=1018hours\text{ (nearest hour)} \end{gathered}\)The number of hours until 60% of the population have heard the rumor is 1018 hours
PLEASE HELP ITS REALLY IMPORTANT AND IF YOU GET IT RIGHT I WILL GIVE BRAINLIEST!!! Jeremy lights a candle that is Six and one-half inches tall. After several hours, the candle is One-half as tall. What is the new height of the candle? 2One-fourth inches 3 inches 3Three-fourths inches 4One-fourth inches
Answers
Answer: i had this question in school , and it was C , because if you cut six in half its three
Step-by-step explanation:
order the number from least to greatest
Answers
Can anyone do this question
Answers
Answer:
x = 2
Step-by-step explanation:
The parallel lines divide the transversals in proportion, that is
\(\frac{x}{8}\) = \(\frac{9}{36}\) = \(\frac{1}{4}\) ( cross- multiply )
4x = 8 ( divide both sides by 4 )
x = 2
QUESTION 1
The area of a trapezoid is 120 mm2 b1 = 13m and b2 = 17m. Find the height. Enter the number only.
Answers
Answer:
8
Step-by-step explanation:
A=a+b/2h
120=13+17/2h
120=30/2h
120/15=h
h=8 m
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
13. I have 22 nickels, dimes and quarters worth $3.45. There are twice as many quarters as nickels. Find the number of each coin.
Answers
Answer:
12 nickels 4 dimes 3 quaters
Step-by-step explanation:
HELP PLZ IF I DON'T GET THIS RIGHT
Answers
Answer:
The one that you have marked is an improper fraction, the answer is 5/9
A proper fraction is a fraction that is less than one, with a numerator less than the denominator
Answer:
5/9 = \(\frac{5}{9}\)
Step-by-step explanation:
This is the answer because:
1) A proper fraction is a fraction having a lower numerator number than the denominator number.
Ex. 5/9
2) A improper fraction is a fraction having a higher numerator number than the denominator number.
Ex. 9/5
3) A mixed fraction is a fraction that contains whole number and a fraction combined into one mixed number.
Ex. 1 1/2
4) A whole number is a counting number
Ex. 3
Hope this helps!
I need help with the last two !!!
Answers
Step-by-step explanation:
G(x) = - x^2 + 10x
a + G(a) = a - a^2 + 10a = - a^2 + 11a or 11a - a^2 or a(11 - a)
1/G(a) = 1/(10a - a^2) = 1/a(10 - a)
2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
Answers
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
Answers
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
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Simplify the expression 21b^4 - 3b by combining like terms
Answers
Answer:
❁ Hello! ❁
21b⁴ - 3b = 3b(7b³ - 1)
Round 12 11/48 to the nearest half
Answers
Answer:
12 1 / 12
Step-by-step explanation:
because 11 is one and 24× 2 = 48
Nate has 8 x (12 x 34 x 56) jelly beans. Walt has (12 x 34 x 56)
jelly beans. How many times more jelly beans does Nate have
than Walt?
Answers
Answer:
Nate has 8 times more jelly beans than Walt.
Step-by-step explanation:
Nate's quantity:
8 x (12 x 34 x 56)
Walt's quantity:
(12 x 34 x 56)
To find the ratio, we can divide Nate's quantity by Walt's quantity:
Ratio = Nate's quantity / Walt's quantity
Ratio = (8 x (12 x 34 x 56)) / (12 x 34 x 56)
Simplifying the expression:
Ratio = 8
Therefore, Nate has 8 times more jelly beans than Walt.
A customer buys a different DVD that has an original selling price of $28. The DVD is discounted by 15%. The customer must pay a 5% sales tax on the discounted price of the DVD. What is the total amount, in dollars, the customer pays for the discounted DVD?
Answers
Answer:
$24.99Step-by-step explanation:
Given:
Original price = $28Discount = 15%Sales tax = 5%Total amount is:
(28 - 15%) + 5% = (28*(100 - 15)/100) * (100 + 5)/100 =28*0.85*1.05 = 24.99simplify pls do fast
Answers
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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Solve the following problems:
Given: AAFD, mZF=90°
AD = 14, mZD=30°
Find: Area of AAFD
F
D
Answers
2x - × + 4x simplify
Answers
Step-by-step explanation:
2x - × + 4x
=5x
!!!!!!!!!!!
Describe how to determine whether the parabola y = 3x2 + 3x + 6 is opening upward.
Answers
Answer:
Opening upwardStep-by-step explanation:
Standard equation of parabola is:
y = ax² + bx + cThe parabola is opening upward if a > 0 and opening downward if a < 0
The given parabola has a = 3 > 0, therefore it is opening upward
Identify the lateral area and the surface area of a cube with edge length 15 in.
Answers
The Lateral area of the cube = 900 in.²
The Surface area of the cube = 1,350 in.².
What is the Lateral Area of a Cube?A cube's lateral area is the area covered by the lateral surfaces of the cube shape. The formula for the lateral area of a cube is given as: LA = 4a², where:
a = edge length of cube.
What is the Surface Area of a Cube?The surface area of a cube is the total area of all its 6 surfaces. The formula for finding the surface area of a cube is: 6a², where:
a = edge length of cube.
Edge length of cube (a) = 15 in.
Lateral area = 4a² = 4(15²)
Lateral area = 4(225)
Lateral area of the cube = 900 in.²
Surface area = 6a² = 6(15²)
Surface area = 6(225)
Surface area of the cube = 1,350 in.².
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Juan sold a bicycle at a discount of 15%. If the selling price was $340, find the usual price of the bicycle.
Answers
Answer: $400
Step-by-step explanation:
Discount = 15%
The original price/value of an item is always 100%
So selling price (%) = original price - discount = 100%-15% = 85%
We got selling price as 85%
This implies that 85% = 340
Let's find 1% first, then 100%
1% = 340÷85 = 4
100% = 4 × 100 = $400
The usual (normal/original) price is $400
Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let's represent the usual price of the bicycle by P.
Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).
We can express this relationship as an equation:
S = 0.85P
We also know that the selling price of the bicycle was $340.
Substituting S = $340 into the equation above, we get:
$340 = 0.85P
To find P, we can solve for it:
P = $340 / 0.85
P = $400
Therefore, the usual price of the bicycle was $400.
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Circle a has area 500 in the diameter of circle b is three times the diameter of circle a estimate the area of circle b
Answers
Answer: D=2r
Step-by-step explanation:
sorry if im wrong!
Answer:
D=2r i hope i aint wrong
Step-by-step explanation:
If a new car is valued at $19200 and 8 years later it is valued at $8000, then what is the average rate of change of its value during those 8 years?
Answers
Answer: $1400 / year
Step-by-step explanation:
Let's start by finding the difference in the new car and the price 8 years later:
$19200 - $8000 = $11200
This means the car depreciated by $11200 over 8 years. We divide this by the 8 years:
$11200 / 8 years = $1400.
This means the car changed by an average of $1400 each year.
Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.
What does the median say about Grace's data set?
Answer options with 4 options
A.
Everyone Grace surveyed has two pets.
B.
More of Grace's friends have two pets than any other number.
C.
Two is the middle number when the number of pets in the data set is ordered from least to greatest.
D.
Two is the difference between the greatest and least number of pets Grace's friends have.
Answers
The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.
What is the median of a data set?The median of the data is the middle value of the data set when it arrange in ascending or descending order.
Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.
Median=2
By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.
Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.
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Find the new price after the discount is applied. Round to the nearest cent if necessary.
$13.50 discounted 75%
Answers
Answer:
$3.38
Step-by-step explanation:
75% of 13.50=
0.75×13.50=
13.50-10.125=
3.375 = $3.38..(If we rounded to the nearest cent will be 3.38)
the mubrer
2. The first term in a sequence is 3.
The rule for the sequence is to multiply by 3 then add 2
Write the next 3 terms in the sequence
Answers
Answer:
3, 11, 35.
Step-by-step explanation:
The first 3 terms of the sequence can de written as:
n, 3n + 2, 3(3n + 2) + 2
So when n = 3 the first 3 terms are
3, 3(3) + 2, 3(3(3) + 2)) + 2
= 3 , 9 + 2, 33 + 2
= 3, 11, 35.
What is the solution to this equation?
X + 8 = -3
O A. x= -5
O B. X = 11
O C. X = 5
O D. x=-11
Answers
Answer:
\(x + 8 = - 3 \\ x = - 3 - 8 \\ x = - 11 \\ (d) \\ thank \: you\)