Answers
Answer:
slope = - \(\frac{1}{3}\)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given the equation of the line is
y = - \(\frac{1}{3}\) x + 3 ← in slope- intercept form
with slope m = - \(\frac{1}{3}\)
Related Questions
Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. If there are equal parts of uphill, flat ground, and downhill, then what was Carissa's average speed during the entire round trip?
Answers
According to the statement, the Ship must move at an average pace of 150 meters per hour.
Is Downhill unfavorable?The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.
The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.
Here,
Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.
Total distance walked = 2 [200 + 100 + 150] = 900 meter
Total time = 2 [1 + 1 + 1] = 6 hour
Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),
As a result, the needed Carissa average speed is 150 meters per hr.
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Molly took part in a math quiz and scored 55 points on 30 questions. Of the questions, there were 3-point word problems, 2-point calculation questions, and 1-point multiple-choice questions. She answered 5 more 2-point questions than 1-point questions correctly. Find how many of each type of question she answered correctly.
Answers
Answer:
\(3\ point\ word = 5\)
\(2\ point\ word = 15\)
\(1\ point\ word = 10\)
Step-by-step explanation:
Given
Represent
3-point word with T;
2-point with U and
1-point with V
\(U = 5 + V\) --- (1)
If total questions is 30, then
\(T + U + V = 30\) --- (2)
If total points is 55, then
\(3T + 2U + V = 55\) --- (3)
Substitute 5 + V for U in (2) and (3)
\(T + U + V = 30\) --- (2)
\(T + 5 + V + V = 30\)
\(T + 5 + 2V = 30\)
\(T + 2V = 25\) ---- (4)
\(3T + 2U + V = 55\) --- (3)
\(3T + 2(5 + V) + V = 55\)
\(3T + 10 + 2V + V = 55\)
\(3T + 10 + 3V = 55\)
\(3T + 3V = 55 - 10\)
\(3T + 3V = 45\)
Divide through by 3
\(T + V = 15\) ---- (5)
Subtract (5) from (4)
\((T + 2V = 25 )- (T + V = 15)\)
\(T - T + 2V - V = 25 - 15\)
\(V = 10\)
Recall that:
\(U = 5 + V\)
\(U = 5 + 10\)
\(U = 15\)
Substitute 10 for V in (5)
\(T + V = 15\)
\(T + 10 = 15\)
\(T = 5\)
The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Answers
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
Answers
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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joy is filling out her personal data sheet she knows that her weight is 100 pounds but the form requires her weight in kilograms what is her weight in kilograms
Answers
10. The steps to solve 1 < 3x +5
Answers
Answer:
-1.33333 < x
Step-by-step explanation:
subtract 5 from both sides
get -4<3x
divde 3 by both sides
-1.33< x
Hi, there!
_______
The first step is:
» Subtract both sides by 5
\(\sf{-4 < 3x}\)
Now divide each term by 3:
\(\sf{-\dfrac{4}{3} < x}\)
We can flip it over:
\(\sf{x > -\dfrac{4}{3}}\)
Hope the answer - and explanation - made sense,
happy studying!!
kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
Answers
Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
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Once simplified, which of the expressions below is equal to −3x−39? Select all that apply.
A) 6(2x–5)–15x–9
B) −3(x+13)
C) 6(23x–5)−7x–9
D) 3x(x–3)
Answers
ASAP!!! Answer the following include all steps
Answers
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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Which statement must be true if APQR = ASTU?
Answers
Answer:
(a) \(PQ \sim ST\)
Step-by-step explanation:
Given
See attachment
Required
Which must be true
\(\triangle PQR \simeq \triangle STU\) implies that:
The following sides are corresponding
\(PQ \sim ST\)
\(PR \sim SU\)
\(QR \sim TU\)
The following angles are corresponding
\(\angle P \sim \angle S\)
\(\angle Q \sim \angle T\)
\(\angle R \sim \angle U\)
From the given options, only option (a) is true because:
\(PQ \sim ST\)
If 12.6cm on the map is equal to 1262km in real life, determine the unit scale of the map
Answers
Answer:
1unit scale on map is equal to 100.16 km in real life
Step-by-step explanation:
since in map 12.cm =1262km in real life
1cm=(1262/12.6) km
therefore it gives us 100.158km which is approximately 100.16 km .
What is the place value of 2 in 369.425
Answers
Answer:
The two is in the hundredths place
Step-by-step explanation:
369.425
hundreds tens ones. tenths hundredths thousandths
3 6 9 . 4 2 5
The two is in the hundredths place
Answer:
The place value of 2 in 369.425 is hundredths.
The number 369.425 is a decimal number. It has a whole number part (369) and a decimal part (0.425). The decimal part is divided into tenths, hundredths, thousandths, and so on. The 2 is in the hundredths place.
Step-by-step explanation:
Nhiệt độ tại điểm (x,y) trên một tấm kim loại phẳng được cho bởi T(x,y)=60/(1+x²+y²), trong đó T là nhiệt đo theo °C và x,y theo mét. Tìm tốc độ biến thiên nhiệt độ theo khoảng cách tại điểm (2,1) theo hướng -x và theo hướng -y.
Answers
Answer:
Sixteen
Step-by-step explanation:
My birthday was on Saturday and I turned 21 bro I hope you good
What is estimate for 311 + 298 ?
Answers
Answer: 610
311≈310 298≈300
310+300=610
Answer:
estimate answer 609 just add it in your head
Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km
Answers
Answer:
Rate per litre=180km ÷ 20l
=8km/l
Write an equation that models this situation. At a sports banquet, 8 guests are seated at each of the 15 available tables. How many guests (x) are seated at the tables?
Answers
Answer: The equation that models this situation is:
x = 15 × 8 or x ÷ 8 = 15
Step-by-step explanation:
Let 'x' be the total number of guests who are seated at the tables.
If have to determine how many guests (x) are seated at the tables, all we need is to multiply the 15 with 8.
so the equation becomes
x = 15 × 8 or x ÷ 8 = 15
Therefore, the equation that models this situation is:
x = 15 × 8 or x ÷ 8 = 15
hope this helps good luck
Why might young adults,in particular,value credit in case of emergency
Answers
Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.
This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.
Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.
Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.
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Eli takes the 17 apples home, and he bakes as many apple pies
as he can. He uses 7 apples in each pie. How many apple pies does
Eli bake? How many apples are left?
Answers
Answer:
2 with 3 left over
Step-by-step explanation:
17 divided by 2 is 14 with 3 remaining
Answer:
2 pies
Step-by-step explanation:
Kyle got into his car and steadily accelerated to the speed limit. After driving at a constant
rate of speed for a while, he slowed to a stop and parked in a store parking lot. Kyle spent
a few minutes shopping, and then reentered his car to drive home. He accelerated to the
speed limit, continued at that speed for a while, and then slowed to a stop and parked in
his driveway. Which graph best represents the scenario described? and why.
Answers
Answer:
Below
Step-by-step explanation:
Answer C
Translate to an equation please.
four less than thirteen times a number is equal to that number added to eight
Answers
Hi
let call "a number" X.
then we have: 4-13X = X + 8 ..
13x-x = 8+ 4
12x= 12
X= 1
Find all values of m for which the equation has two real solutions.
3x² + 7x - (m + 1) = 0
Answers
Answer:
m > - 5 1/12----------------------
Given is the quadratic equation.
A quadratic equation has two real solutions if the discriminant is positive.
Set inequality and solve for m:D = b² - 4ac, where a = 3, b = 7, c = - (m + 1)D = 7² + 4*3*(m + 1) 7² + 4*3*(m + 1) > 049 + 12m + 12 > 012m + 61 > 012m > - 61m > - 61/12 m > - 5 1/12Identify the range of the following data set.
20, 22, 58, 48, 32, 20, 23
Answers
A sample of 100 is drawn from a population with a proportion equal to 0.50. Determine the probability of observing between 43 and 64 successes.
Answers
Answer:
The probability of observing between 43 and 64 successes=0.93132
Step-by-step explanation:
We are given that
n=100
p=0.50
We have to find the probability of observing between 43 and 64 successes.
Let X be the random variable which represent the success of population.
It follows binomial distribution .
Therefore,
Mean,\(\mu=np=100\times 0.50=50\)
Standard deviation , \(\sigma=\sqrt{np(1-p)}\)
\(\sigma=\sqrt{100\times 0.50(1-0.50)]\)
\(\sigma=5\)
Now,
\(P(43\leq x\leq 64)=P(42.5\leq x\leq 64.5)\)
\(P(42.5\leq x\leq 64.5)=P(\frac{42.5-50}{5}\leq Z\leq \frac{64.5-50}{5})\)
\(=P(-1.5\leq Z\leq 2.9)\)
\(P(42.5\leq x\leq 64.5)=P(Z\leq 2.9)-P(Z\leq- 1.5)\)
\(P(42.5\leq x\leq 64.5)=0.99813-0.06681\)
\(P(43\leq x\leq 64)=0.93132\)
Hence, the probability of observing between 43 and 64 successes=0.93132
Help please i don’t understand
Answers
Answer:
AB ≈ 5.39
Step-by-step explanation:
If you draw a line down from A, and another line left from B, the lines will intersect to form a right triangle with AB as the hypotenuse. You can use the Pythagorean theorem to find the length AB.
The vertical leg is 2 grid squares (units) long. The horizontal leg is 5 grid squares (units) long.
Then the hypotenuse, AB, is ...
AB = √(2² +5²) = √(4 +25) = √29
AB ≈ 5.39
The length of AB is about 5.39 units.
a study was conducted that resulted in the following relative frequency histogram. determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.
Answers
If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
What is Histogram?Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
Given is relative frequency histogram.
The histogram is not given, so will discussion the property that tells whether the histogram indicates a normal distribution or not.If the bars roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
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a) In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race
Answers
Answer:
58.4 seconds
Step-by-step explanation:
Find the average of all the seconds by dividing the sum of the seconds by 4
Answer:
233.53 s
The sum of best times for the legs is ...
56.81 +59.22 +57.39 +60.11 = 233.53 . . . seconds
Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.
Why is it important that we tell Native American stories?
Answers
Answer:
Utilizing storytelling to transmit educational messages is a traditional pedagogical method practiced by many American Indian tribes. American Indian stories are effective because they present essential ideas and values in a simple, entertaining form. Different story characters show positive and negative behaviors.
Step-by-step explanation:
Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck are $31.50. Write the inequality that represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800. 2 linear equations
Answers
Answer:
500
Step-by-step explanation:
Write the word sentence as an inequality. Then solve the inequality.
Three less than a number x is more than 15.
An inequality that represents this word sentence is
The solution is
Answers
What equation is graphed?
10
8
6
SK
-10-8-8/ 2 4 6 8 10
-8
-10
16
9
=1
=1
po
Answers
first off, let's take a peek at the picture above
hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.
now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.
\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)