Weare asked to find the slope of the line that goes through the points (1, 10) and (3, -5) on the plane
We use the slope formula for that:
slope = (y2 - y1) / (x2 - x1)
in our case:
slope = (-5 - 10 ) / (3 - 1) = -15 / 2
The slope is negative since we see the line descending from left to right. and also such is confirmed by our calculated slope.
The fraction - 15/2 cannot be simplified any further, so that is it.
In the box that reads: the line is... look for the word "slanted" for example.
For m enter -15/2
Select "falls from left to right"
Which of the following correctly demonstrates a verb tense shift?
A) Krista leaped out of bed and writing and new song.
B) Krista leaped out of bed and write a new song.
C) Krista leaped out of bed to write a new song.
D) Krista will be leaping out of bed to wrote a new song.
(Giving extra points!!)
Answer:
c.
Step-by-step explanation:
Krista leaped out of bed to write a new song.
leaped and right are different tenses
C Krista leaped out bed to write a new song.
Janet Foster bought a computer and printer at Computer land. The printer had a $860 list price with a $100 trade discount and 2/10, n/30 terms. The computer had a $4,020 list price with a 25% trade discount but no cash discount. On the computer, Computer land offered Janet the choice of (1) paying $150 per month for 17 months with the 18th payment paying the remainder of the balance or (2) paying 6% interest for 18 months in equal payments.
a. Assume Janet could borrow the money for the printer at 6% to take advantage of the cash discount. How much would Janet save? (Use 360 days a year. Round your answer to the nearest cent.)
b. On the computer, what is the difference in the final payment between choices 1 and 2? (Round your answer to the nearest cent.)
Her savings would be $12.72 ($760 - $744.80 - $2.48).
The difference in the final payment is therefore $221.50 - $150 = $71.50.
How to solvea. The printer's price after the trade discount is $760 ($860 - $100). If Janet takes the 2% cash discount, she'll pay $744.80 ($760 * 98%).
If she borrows this amount at 6% for 20 days (the difference between 30 days credit and 10 days cash discount), her interest cost will be $2.48 ($744.80 * 6% * 20/360).
Therefore, her savings would be $12.72 ($760 - $744.80 - $2.48).
b. For choice 1, Janet would pay $150 for 17 months and then the remainder ($4,020 * 75% - $150 * 17) in the 18th month.
For choice 2, the monthly payment is $221.50, calculated by using the formula for an installment loan.
The difference in the final payment is therefore $221.50 - $150 = $71.50.
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students at Springfield School can join either the orchestra or the marching band. Students cannot join both groups. How many 7th graders are in the band?
Answer:
thats not enough info
Step-by-step explanation:
thats not enough information
Answer: 24
Step-by-step explanation: 69-27-18=24. You just subtract the 6th and 8th graders that are in band, from the total.
In a medical study, adult patients were randomly chosen and classified by obesity and hypertension. The results are summarized in the contingency table below.
Hypertension by Obesity Level
Obesity Level
Hypertension Low Average High
Yes 34 30 51
No 119 99 82
a) What is the probability of an adult having hypertension?
b) What is the probability of an adult having hypertension and being classified as a low level of obesity?
c) What is the probability of an adult having hypertension given he/she is classified as a high level of obesity?
d) What is the probability of an adult being classified as a high or average level of obesity?
e) If an adult has hypertension, what is the probability that he/she also has a high level of obesity?
f) Are an adult's hypertension status and obesity categorization independent
The probability of an adult having hypertension is 0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is 0.444.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.
b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.
c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.
d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.
e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.
f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).
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x^3-x^2-4x
factor completely
Answer:
Cannot be factored further
Step-by-step explanation:
\(x^{3} -x^{2}-4x=x(x^{2}-x-4 ) \\\)
Answer:
x(x^2-x-4)
Step-by-step explanation:
Given 8 different toppings to choose from, how many 3-topping pizzas are possible?
24, 78, 56, or 336?
Answer:
Step-by-step explanation:
sd
Can you help me with this problem please. I will mark brainlist
Answer:
5.5 pt or 5 1/2 pt
Step-by-step explanation:
A pint is half of a quart, so multiply 2 3/4, or 2.75 by 2, and you'll get your answer. If
Answer:
Here you go! Work shown too!
If m and n are two counting numbers such that m < n and m> (n/2) then :-------------
If m and n are two counting numbers such that m<n and m>n/2 then it is impossible for m to divide n.
According to the question,
We have the following information:
m and n are two counting numbers.
We have:
m<n and m>n/2
Now, the correct statement that applies to this situation is that it is impossible for m to divide n. We can prove this statement by following examples:
Now, let's take m to be 7 and n to be 10. Let's see whether these numbers satisfy the given conditions.
7<10 and 7>10/2 or 7>5
So, the two numbers in place of m and n can be 7 and 10.
Now, 10 is not divisible by 7.
Hence, the correct option is B.
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Graph the solution set for the inequality.x + y < -5
Solve the given inequality for y:
\(\begin{gathered} x+y<-5 \\ y<-x-5 \end{gathered}\)Graph the borderline of the inequality, which is y=-x-5.
Since the sign of the inequality is less than, we have to change the continuous line for a dotted line and shade the region that is under the line, this way:
That is the graph of the solution set.
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
what is the rule for that
Answer:
The constant rule being followed is that the sum of x and y in every case is 5
Since the sum of x and y is 5, we can say that the value of y is 5-x
So we can define a function for this rule:
f(x) = 5 - x
Answer:
y = -x + 5Step-by-step explanation:
From the table we see that:
1. It is linear relationship as the difference in values change in linear increment2. Rate of change is - 1 as y-values drop by 1 unit3. y-intercept is 5 as per the first row (0, 5)Considering the above observations we can put equation:
y = - x + 5Please help I’m doing super bad
Answer:
Vertical angle is answer for this question.
What number is not part of the solution set to the inequality below?
w−10≤16
A) 11
B) 15
C) 26
D) 27?
The number which is not the part of the solution set to the inequality below is 27.
Given inequality is,
w - 10 ≤ 16
WE have to find the solution for the inequality.
Adding both side of the inequality with 10,
w - 10 + 10 ≤ 16 + 10
w ≤ 26
So the solution of the inequality consists of all the points which are less than or equal to 26.
So it contains 11, 15 and 26.
It does not contain 27.
Hence the solution does not contain 27.
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Express 602.16 dam in decimeters
The expression of 602.16 dam in decimeters can be written as 60216 decimeter.
How can the expression of 602.16 dam be converted to decimeters?The concept that will be used in the calculation is conversion. to perform this conversion, it is important to note that 1 Decimeter (dm) is equal to 0.01 dekameter (dam).
Then, if 1dm = 0.01 dam
Xdm = 602.16 dam
Where x is the value in decimeter.
Then we can cross multiply as :
X= (602.16 dam * 1dm)/ 0.01 dam
= 60216 decimeter.
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Suppose that x and y vary inversely, and x = 30 when y = 2. Find y when x=5.
Answer:
Step-by-step explanation:
1. x is inversely proportional to y
x=k/y
k is the constant of proportionality
x =60/y
2. x=60/y
x=60/12
x=5
Help plz , thank you
Answer:
\(2\sqrt{10}\)
\(2\sqrt{29}\)
\(\sqrt{17}\)
\(\sqrt{74\\}\)
\(\sqrt{39}\)
\(\sqrt{15}\)
let me know if you need an explanation.
Rosa spent $5.76 on 8 candy necklaces. How much did each necklace cost?
Answer:
0.72 or 72 cents
Step-by-step explanation:
5.76/8=.72
Simplify the expression
Answer:
option A -3r^6 s^14
Step-by-step explanation:
(-3r^4 s^7/r)^2
(-3r^3 s^7)^2
-3r^6 s^14
-TheUnknownScientist
Factorise fully the following 2x+8
In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box. The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches. Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches. Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
22×14x9= 2772 inches3
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.
What is volume?Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.
For the given dimensions of the bags we have:
1. The volume of the black bag is:
18 x 12 x 8 = 1728 cubic inches
2. The volume of the blue bag is:
18 x 15 x 10 = 2700 cubic inches
3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.
4. The ratio of bigger suitcase to smaller suitcase is:
75 x 20 x 18 = 27000 cubic inches
25 x 8 x 9 = 1800 cubic inches
27000 / 1800 = 27
The bigger suitcase is 27 times larger than the smaller suitcase.
5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:
720 = 10 x 9 x H
720 = 90H
H = 8 inches
The maximum amount of watermelons that can fit are:
27000 / 720 = 37.5 watermelons = 37 watermelons.
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I have 23 hundredths and 12 tenths. Who am I? Convince by using Base 10 Blocks
Answer:
1.43
Step-by-step explanation:
12 tenths ⇒ 1.2
23 hundredths ⇒ 0.23
0.23 + 1.2 = 1.43
1. Solve the following inequalities and describe the similarity and differences be-
tween the solution set:
a) 1 + x < 2
b) 1 − x < 2
c) −1 − x < −2
d) −1 − x < 2
A new car is purchased for 25000 dollars.The value of the car depreciates at 8.25% per year.What will the value of the car be,to the nearest cent,after 15 years?
Answer:
da,
Step-by-step explanation:
How to write two million nine thousand
Answer:
The answer you are looking for is 2,009,000
Step-by-step explanation:
Select the graph that represents the correct answer to the equation.
5y = 3x - 5
Given:
The given equation is 5y=3x-5
Find: Draw the graph
Explanation:
It is given that 5y=3x-5. Substitute x=0 into the given equation we have
\(5y = 3x - 5\)
\(5y = 3(0) - 5\)
\(5y = - 5\)
\(y=-1\)
Now, substitute x=5 into the given
equation we have
\(5y = 3(5)-5\)
\(5y = 15-5\)
\(5y = 10\)
\(y = 2\)
The points are (0,-1) and (5,2).
Therefore, the required graph is
Hence, the required graph is obtained.
Becky has 6 packages of clay thy each weigh 5 pounds. To make a bowl she needs 3 pounds of clay. How many bowls can Becky make?
Answer:
The answer to the question is 10 bowls
Step-by-step explanation:
6×5=30
30÷3=10
Please answer this correctly
Answer:
hope this helps you
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Thank you for the help!
Answer:
c 57
Step-by-step explanation:
Person 1, person 2, and person 3 paid a total of $120 for lunch. They split the money respectively using the ratio 1:2:3. How much more did person 3 pay than person 2?
Person 3's payment exceeded person 2's payment by $20.
To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.
The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.
Step 1: Calculate the total number of parts in the ratio.
1 + 2 + 3 = 6
Step 2: Determine the value of one part.
$120 (total amount) divided by 6 (total number of parts) = $20
Step 3: Calculate the payments for each person based on the ratio.
Person 1: 1 part * $20 = $20
Person 2: 2 parts * $20 = $40
Person 3: 3 parts * $20 = $60
Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:
$60 - $40 = $20
Hence, person 3 paid $20 more than person 2.
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