Step-by-step explanation:
we have 2 points on the line :
(15, 64) and (26, 112)
the standard form I assume is the slope-intercept form :
y = ax + b
"a" being the slope, "b" being the y-intercept (the y value when x = 0).
the slope is the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.
the direction does not matter, but when picking one for one coordinate difference calculation, we have to use the same direction for the other.
I prefer to go from left to right.
so, in our case here
x changes by +11 (from 15 to 26).
y changes by +48 (from 64 to 112).
the slope "a" is +48/+11 = 48/11
so, our equation looks already like this :
y = 48/11 x + b
now, we use any of our points to get b.
let's pick (15, 64) :
64 = 48/11 × 15 + b = 720/11 + b
704/11 = 720/11 + b
-16/11 = b
and our full equation is
y = 48/11 x - 16/11
or
y = 1/11 × (48x - 16/11)
or
y = 16/11 × (3x - 1)
Apply 2-point rubric
1. Sandy earns $9.00 per hour working at a department store. If she works
for 6 2/5 hours, how much money will Sandy earn? Show your work.
Help help i need help asp please i do not understand it see photo please
How do I answer this?
Answer:
1 = 73°
2 = 58°
3 = 107°
4 = 49°
5 = 131°
A straight railway track passes through the coordinates (8, 3) and (12, 1). What is the
slope of the line for the path the track?
(2 points-1 point showing work, 1 point correct slope)
Answer:
[tex]-\dfrac{1}{2}[/tex]
Step-by-step explanation:
Slope Formula
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are points on the line.
Given points:
(x₁, y₁) = (8, 3)(x₂, y₂) = (12, 1)Substitute the given points into the formula and solve for m:
[tex]\implies \textsf{slope}\:(m)=\dfrac{1-3}{12-8}=\dfrac{-2}{4}=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line for the path of the track is -¹/₂.
A train travels 900 miles in 9 hours. How long
will it take the train to travel 1150 miles?
Answer:
11.5 [h].
Step-by-step explanation:
1) if the unknown time is 't', then
2) it is possible to make up the equation:
[tex]\frac{900}{9} =\frac{1150}{t};[/tex]
3) if to solve this equation, then t is:
t=1150*9/900=1150/100=11.5 [hours].
Pls answer this I will mark the brainliest
need solution
A basket of fruits, which is on a top of a 1.5m high table has a GPE of 44.12. What is the mass of the basket of fruits?
Answer:
3.00 kg (2 d.p.)
Step-by-step explanation:
Gravitational Potential Energy (GPE): Energy stored in a mass due to its position. The amount of GPE an object has depends on its mass and its height above the ground.
[tex]\large\boxed{\textsf{GPE}=mgh}[/tex]
where:
GPE = gravitational potential energy in joules (J).m = mass in kilograms (kg).g = gravitational field strength in newtons per kilogram (N/kg).h = change in height in meters (m).Given:
GPE = 44.12 Jg = 9.8 N/kgh = 1.5 mSubstitute the given values into the formula and solve for m:
[tex]\implies 44.12=m \times 9.8 \times 1.5[/tex]
[tex]\implies 44.12=14.7m[/tex]
[tex]\implies m=\dfrac{44.12}{14.7}[/tex]
[tex]\implies m=3.001360544...[/tex]
[tex]\implies m=3.00\:\:\sf kg\:(2\:d.p.)[/tex]
Therefore, the mass of the basket of fruits is 3.00 kg (2 d.p.).
A fair spinner is used with four equal sections numbered 1,2,3,4. Assume that the pointer cannot land on a line. But the spinner is spun only once. Determine the probability. P(2 or even)
Probability of getting a 2 or even(4) is expected outcomes divided by total outcomes(4). The answer is P(2 or even)= 2/4 = 1/2.
A fair spinner is used with four equal sections numbered 1,2,3,4.
Probability is simply how likely something is to happen. Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. Probability of an Event. Assume an event E can occur in r ways out of a sum of n probable or possible equally likely ways. Then the probability of happening of the event or its success is expressed as; P(E) = r/n. The probability that the event will not occur or known as its failure is expressed as: P(E’) = (n-r)/n = 1-(r/n).
P(2) = expected outcomes/total number of outcomes
=> 1/4
P( even:4) = 1/4
So; P(2 or even)= 1/4 + 1/4 = 2/4 or 1/2
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Answer:
Expected results are divided by total outcomes to determine the probability of getting a 2 or even (4). (4). P(2 or even) = 2/4 = 1/2 is the response.
Step-by-step explanation:
There are four equal portions on a fair spinner, designated 1, 2, 3, and 4.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution. the likelihood of an event. Assume that there are n probable or plausible equally likely ways for an event E to occur. Then, P(E) = r/n is used to represent the likelihood that the event will occur or that it will be successful. P(E') = (n-r)/n = 1-(r/n) denotes the chance that the event will not occur, also known as its failure.
P(2) = expected outcomes/total number of outcomes
=> 1/4
P( even:4) = 1/4
So; P(2 or even)= 1/4 + 1/4 = 2/4 or 1/2
Who can help me X/x+5=6/x
Answer:
X=6x+30/x
Step-by-step explanation:
just simplify
Answer:
x = 3 ± √(39)
Step-by-step explanation:
x 6
----- = -------
(x+5) x
We can solve using cross products
x * x = 6(x+5)
x^2 = 6x+30
Subtract 6x from each side
x^2 -6x= 6x+30-6x
x^2 -6x= 30
Subtract 30 from each side
x^2 -6x -30 = 30-30
x^2 -6x -30 =0
Using the quadratic formula
x = -b ± √(b^2 -4ac)
-------------------------
2a
where a=1 b = -6 and c = -30
x = -(-6) ± √((-6)^2 -4(1)(-30))
-------------------------
2(1)
x = 6 ± √(36 +120)
-------------------------
2
x = 6 ± √(156)
-------------------------
2
x = 6 ± √(4*39)
-------------------------
2
x = 6 ± 2√(39)
-------------------------
2
x = 3 ± √(39)
The supply and demand for a product are given by
2p − q = 60 and pq = 100 + 25q,
respectively. Find the market equilibrium point
The market equilibrium point will be at a price of 70 and the quantity of 80.
How to calculate the equilibrium?From the information, the supply and demand for a product are given by 2p − q = 60 and pq = 100 + 25q.
From 2p − q = 60
q = 2p - 60
Substituting this in pq = 100 + 25q.
p(2p - 60) = 100 + 25(2p - 60)
2p² - 70p = 100 + 50p - 1500
2p² - 70p - 50p - 100 + 1500 = 0
2p² - 120p + 1400 = 0
Divide through by 2
p² - 60p + 700 = 0
p² - 70p + 10p - 700 = 0
p(p - 70) + 10(p - 70) = 0
p - 70 = 0
p = 0 + 70 = 70
Since 2p − q = 60
2(70) - q = 60
140 - q = 60
q= 140 - 60 = 80
Therefore, the market equilibrium point will be at a price of 70 and the quantity of 80.
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GRAPH NUMBERS ON A NUMBER LINE
Identify the point on the number line that matches each number.
30. - 0.5
31.2.5
32.-3
A.
B с D
+
-3 -2 -1
А
0
E
1 2 3
Answer:
W2z
Step-by-step explanation:
becuase
Convert the decimal 0.65 to a fraction in its lowest terms.
Answer:
The correct fraction is 13/20.
Step-by-step explanation:
[tex].65 = \frac{65}{100} = \frac{13}{20} [/tex]
After expenses of $52 were paid, a club donated $880 in proceeds from a pancake breakfast to a local health clinic. How much did the pancake breakfast gross?
Based on the expenses, and the club donations, it can be inferred that the amount that the pancake breakfast grossed was $932.
What is the gross income?Gross income refers to the amount that a company, project, or individual makes from sales before they have to withdraw their expenses.
In this case, the gross amount that the pancake business grossed was:
Amount of proceeds = Gross amount - Expenses
Gross amount = Amount of proceeds + Expenses
Solving for the gross from the pancake business gives:
= 880 + 52
= $932
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In the figure below, m2=58°. Find m/1.
K
J
2
¹ = 0⁰
m41:
Step-by-step explanation:
∠ 2 = 58°
∠ 2 +∠ 1 = 180° ( being straight angle )
58° + ∠ 1 = 180°
∠ 1 = 180- 58°
∠ 1 = 122°
☘☘☘...
I’m trying to show my grand daughter how to get to the correct answer. Can you show me how you got the answer to 40.99*2.1=
hmmm when it comes to doing operations with decimals, we can hmmm say for this case, the product, we can just toss the dot and perform the multiplication straight up with only 4099 * 21, and then we'll include the decimal point.
[tex]40.\underline{99}\times 2.\underline{1} \\\\[-0.35em] ~\dotfill\\\\ 4099\times 21\implies \begin{array}{rllll} 4099\\ \times 21\\\cline{1-1} 4099\\ +8198~~\\ \dotfill\\ 86079 \end{array}\hspace{5em}86\underline{079}\implies 86.079[/tex]
now, let's notice, our product was really 86079, then we go back, 40.99 has two decimals, and 2.1 has one decimal, so we have a total from both of three decimals, so our product must have also three decimals, so we move the dot from the right to the left by 3 slots.
3.875 divded by 8 and 46.96 divded by 15
Answer: 3.6150416666
Step-by-step explanation: Please brainiest
Answer:
3.875 ÷ 8 = 0.484375
46.96 ÷ 15 = 3.1306666667
Hope this helps :)
what is
9.4 divided by 10 to the 2nd power
Stage 1: Cartesian Plane INFORMATION: A Cartesian Plane is used for sketching Graphs as well as to perform transformations. 1.1 Describe the features of a Cartesian Plane in terms of its axes, the direction of the axes and its centre.
A cartesian plane is a plane with two axes namely x axis and y axis.
A Cartesian plane is a graph with one x-axis and one y-axis and thus is also sometimes known as a x y graph.
These two axes are perpendicular to each other that is they form an angle of 90° with each other.
The origin (O) is in the exact center of the graph and is the point where the two axes intersect.
Numbers to the right of the zero on the x-axis are positive and the numbers to the left of zero are negative. ( as the case in number line as well)
Similarly, the number on the top of the center on y axis are positive and the numbers below are negative.
It can be used to represent any 2 D figure.
Therefore, a cartesian plane is a plane with two axes namely x axis and y axis.
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[tex]\int\limits {\frac{2x^7}{x^4+4}} \, dx[/tex]
[tex]\displaystyle \int \frac{2x^7}{x^4 + 4} \, dx[/tex]
Let [tex]u=x^4 + 4[/tex] and [tex]du=4x^3\,dx[/tex]. Then
[tex]\displaystyle \int \frac{2x^7}{x^4 + 4} \, dx = \frac14 \int \frac{2(u-4)}u \, du \\\\ ~~~~~~~~ = \frac12 \int \left(1 - \frac4u\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(u - 4\ln|u|\right) + C \\\\ ~~~~~~~~ = \frac12 \left(x^4 +4 - 4\ln\left|x^4+4\right|\right) + C \\\\ ~~~~~~~~ = \boxed{\frac{x^4}2 - \ln\left(x^4+4\right)^2 + C}[/tex]
Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were
79
,
77
, and
91
. What is the minimum score you need on the fourth test to get an B for the course?.
The minimum score you need on the fourth test to get a B is 146.
What is the minimum score you need on the fourth test to get an B for the course?To get a B, you need to get an average of 80% in all four scores.
The first 3 tests have a total of 100 points, and you got:
79, 77, and 91
So the percentage that you got in these 3 tests is:
79%, 77%, 91%
Now, let's say that X is the percentage you get in the last test, we must have that the average is 80%, then:
(79% + 77% + 91% + X)/4 = 80%
Solving that for x, we will get:
X = 4*80% - $79 - 77% - 91% = 73%
So you need to get at least a 73% of the last test, and that test has 200 points, so you need to get:
P = 0.73*200 = 146
The minimum score you need on the fourth test to get a B is 146.
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The minimum score needed on the fourth test to get a B grade for the course is; 153 points.
What is the minimum score required for a B ?It follows from the task content that the first 3 tests attract 100 points each while the fourth test attracts 200 points. On this note, it follows that the total number of points attainable is; 500 points.
To get 80%, one must get; (80/100) × 500 = 400 points.
Hence, the minimum score needed on the fourth test to get a B is; 400 - 79 - 77 - 91 = 153 points.
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One could calculate an affordable monthly rate for rent and expenses by dividing annual income by 12 and calculating 30% of that figure
write this as an equation
One popular rule of thumb is the 30% rule,
which says to spend around 30% of your gross income on rent.
So if you earn $2,800 per month before taxes,
you should spend about $840 per month on rent.
To calculate,
simply divide your annual gross income by 40 - if you make $120,000 a year, you can spend $3,000 on rent.
An equivalent is the 30% rule, meaning that you can put 30% of your annual gross income in rent.
If you make $90,000 a year, you can spend $27,000 on rent, and so your monthly rent will be $2,250.
Typically, the rents that landlords charge fall between 0.8% and 1.1% of the home's value.For example, for a home valued at $250,000, a landlord could charge between $2,000 and $2,750 each month.
If your home is worth $100,000 or less, it's best to charge rent that's close to 1% of its value.
To determine daily rent, the total number of days are divided by the monthly rent.
The daily rent is then multiplied by the number of days the tenant occupies the property.To get an appropriate calculation for how much each roommate should pay depending on the size of their room, take the square footage of each room and divide by the total square footage of the apartment. This will give you a percentage for the size and value of each room, which you can apply to the total cost of rent.
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please help
please hurry
Answer:
Step-by-step explanation:
the last option
Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. Answer exactly. 4 sin 30 ∘ =
The expression is simplified to 2
How to determine the valueIt is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.
From the table of exact values, we have that;
sin 15 = 0. 25
sin 30 = 0. 5000
sin 45 = 0. 7071
sin 60 = 0. 8600
sin 75 = 0. 9659
sin 90 = 1
To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000
4 sin 30°
⇒ 4 × 0. 5000
multiply through
⇒ 2
The value determined is 2
Thus, the expression is simplified to 2
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Jalen reads at a rate of 250 words per minutes. The novel he is reading has an average of 300 words per page. How long should Jalen expect it to take him to read a 15-page chapter?
Answer:
18 minutes
Step-by-step explanation:
1. 300 * 15 = 4500 (How many words in total)
2. 4500/250 = 18 (Number of words divided by speed of his reading)
The bainters are considering a rental home with
• $1,190 monthly rent at move-in with a 1.7% increase each year
• an annual $75 cleaning fee
• an annual $450 pet fee
• an estimated monthly $17 fee for renters’ insurance
1. How do you determine how much is spent on housing for any given year?
2. Approximately how much will the Bainters spend to rent the house after the 1st year. 5th year, 10th year, and 15th year?
Your 2 answers should include
• an explanation of how to find the amount spent on housing in one year.
• for each of the given times ( 1 year, 5 years, 10 years, and 15 years)
- the monthly rent, rounded to the nearest whole dollar
- the calculations to find the total amount the Bainters will spend for the year
The year 1 housing cost is $15,009.00, which includes rent , pet fee, cleaning fee and fee for renters’ insurance
What is annual housing cost?
The annual housing cost for bainters comprises the annual rent, cleaning fee, pet fee as well as the renters’ insurance, hence, the sum of all the listed cost components form the annual spend on housing for any given year
Year 1:
rent=$1190*12=$14,280
cleaning fee=$75
pet fee=$450
renters’ insurance=$17*12=$204
Year 1 housing cost=$14,280+$75+$450+$204
Year 1 housing cost=$15,009.00
Year 5 housing cost=$14,280*(1+1.7%)^4+$75+$450+$204
Year 5 housing cost=$16,005.08
Year 10 housing cost=$14,280*(1+1.7%)^9+$75+$450+$204
Year 10 housing cost=$17,348.46
Year 15 housing cost=$14,280*(1+1.7%)^14+$75+$450+$204
Year 15 housing cost=$ 18,809.96
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About 365 kg paper can be made from a single
tree. A ream (500 sheets) of paper weighs about
2.3 kg.
(a) How many sheets of paper can a single tree
be made into?
Answer:
A single tree can be made into 730 sheets of paper.
Step-by-step explanation:
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The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 370 minutes, the monthly cost will be $76. If the customer uses 750 minutes, the monthly cost will be $114.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly of the Ringular plan.
Answer:: y = ([tex]\frac{1}{10}[/tex])x +39
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 370 minutes, the monthly cost will be $76. If the customer uses 750 minutes, the monthly cost will be $114.
(370,76) and (750,114)
A) Find an equation in the form y=mx+b, where x is the number of monthly minutes used and y is the total months of the Regular plan.
slope =[tex]\frac{(114-76}{(750-370)}[/tex] = [tex]\frac{38}{380}[/tex] = [tex]\frac{1}{10}[/tex]√
y = MX + b
Solve for "b"
114 = ( [tex]\frac{1}{10}[/tex])750 + b
114 = 75 + b
b = 39
Answer:: y = ([tex]\frac{1}{10}[/tex])x +39
Customers and customers may or may not be the same thing, but they are two different things. A customer uses the products that a customer has purchased. An ultimate client could also be a consumer, but they might also have bought things for someone else to consume. A middle customer is not at all a consumer. The situation is rather convoluted because final consumers of so-called industrial goods and services are theoretically also consumers because they either consume the goods and services individually or incorporate them into other finished products. They are more frequently referred to as industrial customer or business-to-business customers instead. Similar to how few people refer to clients who purchase services as consumers
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Find the value of x.
26
X
X
x = [?]°
Answer:
x=77° each
Step-by-step explanation:
180-26=154°
154÷2=77°
x=77° each
hope that helpes
Why can you rewrite 14^0 as 1?
During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at a constant rate. Suppose a penny is dropped from a skyscraper and could travel 153 kilometers in
1
2
hour at a constant rate. Which of these objects has a faster unit rate per hour? How much faster?
The , 1 of 2.
Select Choice
has a faster unit rate per hour. It travels about , 2 of 2.
Select Choice
kilometers per hour faster.
Using the relation between velocity, distance and time, it is found that the penny has a faster unit rate per hour. It travels about 56.4 kilometers per hour faster.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
The rocket traveled 208 kilometers in 50 minutes = 5/6 of an hour, hence it's velocity, which is the unit rate, is given by:
v = 208/(5/6) = 208 x 6/5 = 249.6 km/hour.
The penny travels 153 kilometers in a half an hour, hence it's velocity is given by:
v = 153/0.5 = 306.
306 > 249.6, 306 - 249.6 = 56.4, hence:
The penny has a faster unit rate per hour. It travels about 56.4 kilometers per hour faster.
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issac and his friends pitched 4 trekker tents in 60 minutes on a camping site. how long will they take to pitch 5 tents?
Answer: 75
Step-By-Step Explanation. 60 / 4 = 15, it takes 15 minutes for each tent.
15 x 5 = 75
so it takes them 75 minutes to do 5 tent
tell me if i'm wrong and if so tell me what the right answer was have a nice day
