Ty and Leo are walking along linear routes in a city. On a map of the city, Ty's route passes through the coordinates (-1, 3) and (0, 1) and Leo's route passes through the coordinates (1, 4) and (0, 2). Will Ty and Leo pass through a common coordinate, walk along the same route, or never cross routes?
Answer:
Step-by-step explanation:
hello .....
note : the slope of the line (AB) is :
m = (YB -YA)/(XB - XA)
in this execice given A (-1, 3) and B(0, 1)
m1= (1-3)/(0+1) so : m1= -2
same method for the line (CD) : m2 = (4-2)/(1-0) and C(1;4) D(0;2)
so: m2 = 2
conclusion : m1 ≠ m2
Will Ty and Leo pass through a common coordinate,
Which graph represents the solution to 7x < 21 or 6x – 9 > 21?
3
4
5
6
8
+
6
3
-2
-1
0
1
2
3
4
3
7
8
de
7
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-5
4
3
-2
0
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2
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6
7
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-1
0
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6
Answer:
3 and 2 is the right answer and others are rongh
can someone help me please
Answer:
3.A
4.D
Step-by-step explanation:
in 3, A is correct because it follows the rule in the picture attached. In question 4 D is not appropriate because log base 9 to the power 9 is equal to 1, but log base 9 to the power 4 + log base 9 to the power 5 is not 1
if 7 notebooks $3.85,what is the unit price of the notebooks
Answer:
0.55
Step-by-step explanation:
I think you would just divide the numbers
if the premium for same day shipping is 200%. what is the cost to ship 2200 lbs of goods from Dallas to Nashville using same day shipping? if the answer is d.$15,840 what is the appropriate formula to solve?
from Chicago to Atlanta is 700 miles, so in plain-vanilla shipping costs for that will be $240 per every 100 lbs.
if we're shipping 2,000 lbs, hmmm that's 2000/100 = 20, so 100 lbs 20 times, so our plain-vanillla cost will be 20 * 240 = 4800 bucks.
Now, we're Da Bomb, and hell, why not, let's ship it on a 3-5 day, but that has a Premium of an extra 20%, hmmm that means our cost using 3-5 days service is 4800 + 20%.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 4800}}{\left( \cfrac{20}{100} \right)4800}\implies 960~\hfill \underset{final~cost}{\stackrel{4800~~ + ~~960}{5760}}[/tex]
3. Two of the lines below are parallel. Which two? Justify your answer.
y= 3x - 5 y=-3x + 7 y - 3x = -12 y + 1/3x=8
Answer:
line 1 and 3
Step-by-step explanation:
Parallel lines have the same slope.
So if we're asked to identify a pair of parallel lines, we can just take a look at the slope (the number before x)
The first one is y=3x-5. Okay.
The second one is y=-3x+7. So the second line isn't parallel to the first line.
The third line is y-3x=12, or y=3x+12.
So the 3rd line is parallel to the 1st line :)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
What decimal part of £1 is 40p?
Answer:
1/40 as a decimal is 0.025.
Write the first six terms of the sequence.
with an explanation please! i have no idea how to solve this on my own
49, 36, 25, 16, 9, 4
============================================================
Explanation:
We always start with n = 1 when it comes to sequences and series problems.
Plug in n = 1 to get
[tex]a_n = (n-8)^2\\\\a_1 = (1-8)^2\\\\a_1 = (-7)^2\\\\a_1 = 49\\\\[/tex]
The first term is 49, showing that the answer is choice C.
We can stop here, but I'll show how to do another one to help you get practice. Plug in n = 2.
[tex]a_n = (n-8)^2\\\\a_2 = (2-8)^2\\\\a_2 = (-6)^2\\\\a_2 = 36\\\\[/tex]
I'll let you compute the other terms.
Answer:
49,36,25,16,9,4
Step-by-step explanation:
First, eliminate anwser A since it's all negatives, and when squaring, negatives (without imaginary numbers) are impossible.
Foil out the equation:
a=(n-8)^2
a=(n-8)(n-8)
a=n^2-8n-8n+64
a=n^2-16n+64
Now find the values by substituting values n>=1:
49=1^2-16(1)+64
36=4-32+64
etc.
if 9% of 84 students like pizza if 6% like hotdogs and 50% like nachos in 6% like candy how much percentage is left popcorn
What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14 cm?
Answer:
Step-by-step explanation:
Pyramid height should be 14
Base area should be 14*14(196)
So, Base area is 196
1. Multiply the Base area by the height of the pyramid:
196*14=2744
2. Divide the number above by 3:
2744/3=914.7
What if there were only 200 days in a year? How many people would need to be in a room before the probability that two people shared a birthday exceeded 50%?
According to the calculation, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
ProbabilityTo determine, if there were only 200 days in a year, how many people would need to be in a room before the probability that two people shared a birthday exceeded 50%, the following calculation must be performed:
200 days / 200 people = 200 / 200 = 1300 / 200 = 1.5301 / 200 = 1,505Therefore, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
Learn more about probability in https://brainly.com/question/27272615
evaluate the expression you got in part d for b = 8? (b / 2-3)
Answer:
b/2-3
8/2-3(substituting B=8)
8/-1
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
The expression to be evaluated :
(b / 2-3)We can simpify the denominator(b / -1) ⇒ -bWe have the value of b, which is equal to 8.
Therefore, on substituting in our simplified expression :
⇒ -(8)⇒ -8What is the experimental probability of hitting a polka dot balloon or solid balloon
there are 18 solid balloons, 5 polka dot balloons and 17 striped balloons
Answer:
18 plus 5 plus 17 gives 40 therefore ; p is eq 23/40
( Find the Mean Absolute Deviation and the Mean )
How many siblings do the students in my math class have?
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3
Answer:
Mean Absolute Deviation (MAD): 1.3125
Mean: 2.5625
Step-by-step explanation:
.
Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times in between equally likely. A) What is a probability that Chris changes a given tire in less than 9 min? b) What is the probability that it takes between 9 min and 11. 5 min? c) What is the probability that it takes exactly 10 min?
Find the volume of the pyramid.
Round your answer to the nearest tenth if needed. Do not enter units.
Answer:
V = (25 * 18 * 20)/3 = 9000/3 = 3000 cm^3
Step-by-step explanation:
The formula for this question is fairly simple.
V = (l * w * h)/ 3
You multiply length, width and height- then you divide your answer by 3. This should equal the volume of your pyramid! (cm^3 means "centimeters cubed".....since your question says "Do not enter units" then there is no need for you to enter cm^3...)
Express the trig ratios as fractions in simplest terms.
Answer:
See below
Step-by-step explanation:
[tex]\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}[/tex]
Hence, both ratios are equal to each other
(a+3b)(2c+d+4e) simplify
Answer:
2ac + ad + 4ea + 6bc + 3bd + 12be (Simplified)
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2100. What was the rate charged per hour by each mechanic if the sum of 2 rates was $190 per hour?
Answer: 115/hr & $75/hr
Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.
State whether the linear regression equation is appropriate for the data set. explain why or why not.
Answer:
not appropriate
Step-by-step explanation:
The values in the dataset increase, then decrease with incrasing values of the independent variable. A linear regresssion equation would match data with a (more or less) constant slope. It would not be a good match for this dataset.
A linear regression equation is not appropriate.
This figure shows the dimensions of a rail car. The car forms a cylinder with a length of 24 feet and radius of 4 feet.
What is the volume, in cubic feet, of the car? Round your answer to the nearest hundredth.
Answer:
1206.857, cubic feet
Step-by-step explanation:
(22/7×4²)×24
=1206.857 cubic feet
The first four terms of a geometric sequence are 2, 6, 18 and 54.
What is the 8th term?
4374
Step-by-step explanation:
We are multiplying by 3 each time
2*3 = 6
6*3 =18
18*3 = 54
The formula is
an = 2 * 3^(n-1) where n is the term number
a8 = 2 * 3^(8-1)
a8 = 2 * 3^7
a8 = 2*2187
a8 = 4374
Answer:
4374
Step-by-step explanation:
First term, a =2
Common ratio, r = 3
nth term = a.r^(n-1)
where , n is the number of terms
8th term = 2.(3)^(8–1)
=2(2187)
=4374
⇒ A geometric progression, sometimes termed a geometric sequence, is a series of integers in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.
The mass is divided by 2 and the volume is multiplied by 4 what happens to the density
Answer:
Density is mass over volume so if the mass is being divided the value is smaller and volume is being multipliedd so value is larger but since volume is the denominator and is getting larger you are going to end up with a smaller number since smaller number gets/ larger number gets = smaller value gets
Step-by-step explanation:
You go to the Yellowbox to get 5 rentals for the weekend. Movies rent for $2 and video games rent for $3. You end up spending $13
Be sure to answer EACH of the following parts below:
• Define your variables.
• Write a system of equations that describes the number of movies and video games rented.
• Solve the system. Show all of your steps.
.
How many of each item did you rent?
Answer:
Variables
Let m = number of movies rented
Let g = number of video games rented
Given:
cost of renting one movie = $2cost of renting one video game = $3total money spent = $13total rentals = 5System of equations
m + g = 5
2m + 3g = 13
Solution
Rewrite m + g = 5 to make m the subject:
⇒ m = 5 - g
Substitute this equation into 2m + 3g = 13 and solve for g:
⇒ 2(5 - g) + 3g = 13
⇒ 10 - 2g + 3g = 13
⇒ 10 + g = 13
⇒ g = 3
Substitute found value of g into m = 5 - g and solve for m:
⇒ m = 5 - 3
⇒ m = 2
Therefore, 2 movies and 3 video games were rented.
Can anyone help me with my homework
Answer:
2. -12, -3, 0, 36, -24
3. 0, 8, 13, 15, 9
p-by-step explanation:
a number is greater than 12
Answer:
anything above 12
Step-by-step explanation:
would be greater than 12. 13, 14, 16...etc
Answer:
n > 12
Step-by-step explanation:
Represent the number by n. Then "a number is greater than 12" expressed symbolically is n > 12.
A line passes through the point (-6, 9) and has a slope of 4/3. Write an equation in slope-intercept form for this line.
Answer:
y = 4/3x + 17 .
Step-by-step explanation:
Use the point-slope form of a line:
y - y1 = m(x - x1)
y - 9 = 4/3(x - -6)
y - 9 = 4/3x + 8
y = 4/3x + 17 <--------- Slope-intercept form.
Anna and Jack make lemonade. Anna uses 2 cups of lemon juice with 9 cups
of
water. Jack uses 3 cups of lemon juice with 15 cups of water. Whose lemonade
has a stronger lemon taste?
Answer: Anna
Step-by-step explanation:
First, I will create proportions.
Anna: 2 lemon : 9 water
Jack: 3 lemon : 15 water
Next, I will simplify them.
[tex]\frac{2}{9}[/tex] = Already simplified
[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.
[tex]\frac{2}{9}[/tex] * [tex]\frac{5}{5}[/tex] = [tex]\frac{10}{45}[/tex]
[tex]\frac{1}{5}[/tex] * [tex]\frac{9}{9}[/tex] = [tex]\frac{9}{45}[/tex]
VOLUME WITH PRISMS! Aubrey decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 8.3 cm and its circumference as 14.9 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
The volume of the cup whose height is 8.3 cm and radius is 2.37 cm in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].
Volume of cup by rounding off nearest tenth = 146.4 [tex]cm^{3}[/tex].
What is volume of Cylinder?
The volume V of a cylinder with radius r is the area of the base B times the height h .
V=Bh or V=π[tex]r^{2}[/tex]h
It is given that,
height= 8.3 cm
Circumference = 14.9 cm
By using the circumference we first find the radius of circular base or top,
Circumference of the circle = 2πr
14.9= 2 x 3.14 x r
14.9= 6.28 x r
r= [tex]\frac{14.9}{6.28}[/tex]
r= 2.37 cm
Hence, the radius of the circle is 2.37 cm.
Volume of cup( cylindrical shape ) = π[tex]r^{2}[/tex]h
= 3.14 x 2.37 x 2.37 x 8.3
= 26.062 x 5.616
= 146.364 [tex]cm^{3}[/tex]
= 146.4 [tex]cm^{3}[/tex] (nearest tenth)
The volume of the cup in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].
Learn more about Volume of cylinder here:
https://brainly.com/question/15891031
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Which situation could this expression represent?
(4+6)×2
Sarah reads 4 pages in the morning and 6 pages at night for 2 days. What is the total number of pages that Sarah read?
Adisa reads 4 pages one day and reads 6 pages on each of the next 2 days. What is the total number of pages that Adisa read?
Tahir reads 4 pages in the morning and 6 pages at night one day. The next day Tahir reads 2 pages. What is the total number of pages that Tahir read?
Adwin reads 6 pages in the morning and 2 pages at night for 4 days. What is the total number of pages that Adwin read? (please hurry)
answer:24
Step-by-step explanation:
The use of BODMAS .We must solve the bracket first before the multiple
Answer:
Sarah reads 4 pages in the morning and 6 pages at night for 2 days. What is the total number of pages that Sarah read?
Step-by-step explanation:
If Sarah read 4 pages in the morning and 6 pages at night for 2 days the would equal 4+6x2
4 is the number of pages in the morning
6 is the pages at night
and 2 is the number of days that she read the pages