Answer:
X1 = 34
X2 = -42
Step-by-step explanation:
Given the simultaneous equations
X1 + X2 =-8 .... 1 * 3
3X1 +2X2 = 18 .... 2 * 1
______________________
3X1 + 3X2 = -24
3X1 +2X2 = 18
Subtract
3X2 - 2X2 =-24 - 18
X2 = -42
Substitute X2 = -42 into 1
X1 + X2 = -8
X1 - 42 = -8
X1 = -8+42
X1 = 34
Hence the solution to the system of equation is (34, -42)
find the surface area of the triangular prism?.... and 31 is not the answer
Answer:
216 sq m
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)*L
Where,
b = 6 m
h = 8 m
s1 = 10 m
s2 = 8 m
s3 = 6 m
L = 7 m
Plug in the values
Surface area = 6*8 + (10 + 8 + 6)*7
Surface Area = 48 + 24*7 = 216 m²
a. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?
b. What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
Answer:
A. 57m B. 130m
Step-by-step explanation:
For problem A:
87m up a cliff - 30m up a cliff = 57m up a cliff
These are all positive values
For problem B:
100m above is talking about a positive value, making this a positive number
30m below is talking about a negative value, making this number -30
0 meters represents the surface
As you can see, this is forming a number line as of which
below the surface------------------------0m-------------------------above the surface
by substitution,
-30-----------------------------------------------0-------------------------------100
therefore, 100 - -30 = 130 meters
Use the ray tool to graph f(x)=−|x+2|
First plot the endpoint of the ray, then plot any point on the ray.
Answer: Graphed points I used, (-2,0), (0,-2), and (-3,-1)
Step-by-step explanation:
The graph of given function is attached below.
Absolute value function:The given function is,
[tex]f(x)=-|x+2|[/tex]
We have to draw the graph of above function.
When [tex]x=-2[/tex] , [tex]f(-2)=0[/tex]
When [tex]x=-4[/tex] , [tex]f(-4)=-|-4+2|=-2[/tex]
When [tex]x=0[/tex], [tex]f(0)=-2[/tex]
Thus, We have points [tex](-2,0),(-4,-2)[/tex] and [tex](0,-2)[/tex]
The graph of function attached below.
Learn more about the graph of function here:
https://brainly.com/question/24335034
Nina took an exam. When her results came, she had 40% correct and 68% incorrect. Find the percent to correct answers to incorrect answers.
Answer: She had 27.2% correct.
Step-by-step explanation: To find the percent, we can divide the part and whole then multiply the quotient by 100. After that we'll need to convert the percent to a decimal. In mathematical terms, the formula will be,
[tex]\frac{part}{whole}=quotient*100[/tex]
40% will be the part and 68% will be the whole.
Step 1.
Convert 40 into a decimal by dividing it by 100.
40 ÷ 100 = 0.4
Step 2.
Multiply 0.4 by 68.
0.4 × 68 = 27.2
Hence, she had 27.2% correct.
2 and 1/6 of a foot converted into inches as a fraction
Answer:
26 inches
Step-by-step explanation:
1 foot = 12 inches
the parallelogram height is 1 and 1/2 times the base length and the base length is 6
Which expresses shows another way to write 36+16?
4(9 + 4), because :
4 * 9 + 4 * 4 = 36 + 16
Consider the number line.
+
+
-1
0
1
What is the value of x on the number line?
А
-1.5
B
-0.5
с
0.5
D
1.5
a
-1.5
For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer
Answer:
896.784
Step-by-step explanation:
Comment if you want the explanation
If n+1 integers are chosen from the set
1,2,3,…,2n
,where n is a positive integer, must at least one of them be even? Why?
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.15, 16, 21 determine wether the triangle is acute
Answer:
no they don't because you could not use those numbers
help me out
........1
Answer: -13
Step-by-step explanation:
2-(3^2)+4-3-7 = -13
Answer:
17
Step-by-step explanation:
2x²+4x-7
-6²+(-12-7)
36+(-19)
17
what is the difference in length between the longest meteor and the shortest meteor
Answer:
Please show the full problem
Step-by-step explanation:
Answer:
If this is the same question the answer is 3 1/3
Step-by-step explanation:
How many 1/5 are in 20? Enter your answer in the bo
Answer:
4
Step-by-step explanation:
20 devided by 1/5 is 4
One die, numbered 1, 2, 3, 4, 5, 6 is rolled. What is the probability of rolling a 1 or a 6?
Answer:
1/3
Step-by-step explanation:
There are 2 different options to get a 1 or a 6 out of 6 total options, so:
2/6 = 1/3.
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
Which equation is another way to show
5/4?
A. 1/5x1/4=
B. 4x1/5=
C. 4 divided by 5=
D. 5 divided by 4=
E. 5+1/4=
Answer:
D
Step-by-step explanation:
5 divided by 4 is just 5/4 written out
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
53 and 17
Step-by-step explanation:
If you add 53 and 17, you get 70.
If you subtract 17 from 53, you get 36. Hope this helps!
when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the original number
Answer:
4.99
Step-by-step explanation:
i cant remember how i got 4.99 but can show u how to check
= 55 + 4.99 = 59.99
59.99 divide 3 = 19.99666667
= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)
= 4.99 (was rounded)
what is the temperature halfway between 20 degrees and -10 degrees?
Answer:
The temperature halfway is -5 degrees farenheit/celcious
Step-by-step explanation:
the difference is 30 degrees
30 / 2 = 15
20 - 15 = -5
-10 + 15 = -5
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
Jasmine is playing hide-and-seek with Tucker and Michelle. Tucker is hiding 15 meters south of Jasmine, and Michelle is hiding 8 meters east of Tucker. How far apart are Jasmine and Michelle?
Answer:
17 meters
Step-by-step explanation:
According to the Pythagorean Theorem, we can know that the right triangle's a side is Michelle to Tucker (8 meters), and the b side is Jasmine to Tucker (15 meters), and the c side is Jasmine to Michelle. The Pythagorean Theorem equation, the side length of the c side of a right triangle is the length of a side squared plus b side squared and squared root (a^2+b^2=c^2), and so 8^2+15^2=289, and 289 square root is 17, we can know that the distance between Jasmine to Michelle is 17 meters.
Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).
y= blank x+ blank
Answer:
Step-by-step explanation:
y2-y1/x2-x1
-1-(-4)/3-7
3/-4
y=mx+b
For the y coordinate it can be either -4,or -1
-4=3/-4x+b
b=13/4
Find the volume of the cylinder. Round your answer to the nearest tenth
3 m
5 m
Answer:141.4
Step-by-step explanation:
What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)
Answer:
y=2x+1
Step-by-step explanation:
y=mx+b
m=(13-5)/(6-2)
m=8/4
m=2
b=y-mx
b=5-2*2
b=5-4
b=1
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-5)/(6-2)
m=8/4
m=2
y-y1=m(x-x1)
y-5=2(x-2)
y-5=2x-4
y=2x-4+5
y=2x+1
Emmanuel invests $4,200 and Kelsey invests $2,800. Both investments earn 3.9% annual interest. How much longer will it take Kelsey's investment to reach $10,000 than Emmanuel's investment? If necessary, round to the nearest tenth.
It takes ____?____years longer for Kelsey's investment to reach a value of $10,000 than Emmanuel's investment.
Answer:
The answer is 7
Step-by-step explanation:
What is the surface are of the box in square meters that Elizabeth decorates
Answer:
Step-by-step explanation:
a tank holds 49 litres of oil. if 7 litres leaked what percentage of oul has leaked
The percentage of oil that has leaked from the tank is 14.29%.
Given the following data:
Tank capacity = 49 litres.Oil leakage = 7 litres.To determine the percentage of oil that has leaked from the tank:
How to calculate percentage.Mathematically, the percentage for the amount of oil leakage in this tank is given by this formula:
[tex]Percentage = \frac{Oil\;leakage}{Tank\;capacity} \times 100\\\\[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{7}{49} \times 100\\\\Percentage = 0.1429 \times 100[/tex]
Percentage = 14.29%.
Read more on percentage here: https://brainly.com/question/24304697
The number of oil tankers arriving at a refinery each day follows a Poisson(3)distribution. Current port facilities can service only four tankers a day so thatif more than four tankers arrive in a day, the additional tankers must be sentto another port. LetXdenote the number of tankersarrivingat the port andletYbe the random variable corresponding to the number of tankersserviceddaily.(a) What is the probability that no tankers arrive at the port? (2 pts)(b) What is the PMF ofY? (4 pts)
What is the area of the top AND bottom faces?
Answer:
Top : 24cm²
Bottom : 24cm²
Step-by-step explanation:
Surface area : Base × Height
Top :
3 × 8 = 24
Bottom :
3 × 8 = 24
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answer:
C
Step-by-step explanation: