From eq(1)
[tex]\\ \sf\longmapsto x+y=4[/tex]
[tex]\\ \sf\longmapsto x=4-y\dots(3)[/tex]
Put values in eq(2)[tex]\\ \sf\longmapsto 2x-y=5[/tex]
[tex]\\ \sf\longmapsto 2(4-y)-y=5[/tex]
[tex]\\ \sf\longmapsto 8-2y-y=5[/tex]
[tex]\\ \sf\longmapsto 8-3y=5[/tex]
[tex]\\ \sf\longmapsto 8-5=3y[/tex]
[tex]\\ \sf\longmapsto 3y=3[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{3}{3}[/tex]
[tex]\\ \sf\longmapsto y=1[/tex]
Put value in eq(3)
[tex]\\ \sf\longmapsto x=4-y[/tex]
[tex]\\ \sf\longmapsto x=4-1[/tex]
[tex]\\ \sf\longmapsto x=3[/tex]
There are 3 red marbles and 2 black marbles in a bag. What is the probability of drawing a black marble from the bag two times in a row if the marbles are replaced after each draw?
Answer:
4/25
Step-by-step explanation:
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
Replace marble
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
P(black, replace, black) = 2/5 * 2/5 = 4/25
can i get some help on this question please? ASAP!!
Answer:
left is a very good approximately .9 POSITIVE correlation
right is a very good approximately -.9 NEGATIVE correlation
Step-by-step explanation:
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
Model:
The exponential model for the number of infected trees after t years is given by:
[tex]f(t) = e^{0.4t}[/tex]
How many years will it take for 21 of the trees to become infected?
This is t for which:
[tex]f(t) = 21[/tex]
Thus
[tex]e^{0.4t} = 21[/tex]
Applying the natural logarithm to both sides:
[tex]\ln{e^{0.4t}} = \ln{21}[/tex]
[tex]0.4t = \ln{21}[/tex]
[tex]t = \frac{\ln{21}}{0.4}[/tex]
[tex]t = 7.6[/tex]
It will take 7.6 years for for 21 of the trees to become infected.
For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.
If a moped goes 30 miles per hour, how many hours will it take to travel
217.5 miles?
Answer:
217.5
Step-by-step explanation:
There are two ways to do this problem, first dividing to find the missing value. It will look like this:
217.5 ÷ 30 = 7.25
Or, using random numbers and multiplying it by 30, which is like this:
30 × 10 = 300
30 × 4 = 120
30 × 7 = 210
30 × 7.1 = 213
30 × 7.25 = 217.5
Could someone plz help
Answer:
The Answer would be 166
Step-by-step explanation:
From 115 to 132 is + 17
From 132 to 149 is + 17
So 149 + 17 = 166
Therefor your answer is 166
factorise 1000a^2+27b^2
[(63 ÷ 18)2 − 8] * 5 pls help meee
Answer:
-5
Step-by-step explanation:
use PEMDAS. In this problem, solve 63 divided by 18 first, the prcoeed from there.
[(63/18)2-8]*5
[(3.5)2-8]*5
3.5*2 is 7
[7-8]*5
[-1]*5 = -5
Every year the Lee family has a big family dinner, and everyone brings a mug to exchange. The mugs are put on wooden hangers on the wall, and each wooden hanger can hold 12 mugs. Last year the family had 15 mugs to hang up. This year the Lee family filled three wooden hangers. How many more mugs were brought to the Lee family dinner this year compared to the previous year? *
Answer:
21 more mugs were brought this year than last year.
Step-by-step explanation:
We can solve by subtracting the initial amount of mugs from the final amount of mugs.
To find the amount of mugs hung up this year, we will use the equation: m = 12w where m = the number of mugs & w = the number of wooden hangers. The 12 represents the amount of mugs per wooden hanger.
We can plug in 3 for w since 3 wooden hangers were filled up and we would get 12(3) = m = 36 mugs
Now we subtract last year's total mugs hung up from this year's total mugs hung up.
We end up with 36 - 15 = 21
what is bigger 35% or 2/5
Answer:
35% = .35
2/5 = 4/10 = .4
.4 >.35
Step-by-step explanation:
Laura brought some fish; salt water ($2 each) and fresh water ($1 each). If she has 15 fish and the total was $23 - how many of each fish did she buy?
Answer:
8 salt water
7 fresh water
Step-by-step explanation:
Let's represent salt water fish with the variable "s" and fresh water fish with the variable "f".
We can make a system of equations - one equation for the number of fish and the other for the price of the fish.
We know that the total number of fish Laura has is 15, and the total price of the fish was $23.
s + f = 15 2s + f = 23Solve the system of equations by subtracting the bottom equation from the top equation.
-s =-8s = 8Laura bought 8 salt water fish. Since the total number of fish is 15, the number of fresh water fish must be 7.
Answer:
8
7
Step-by-step explanation:
Let the number of fresh water be: - x
Number of salt fishes be 15 - x
x + 2 (15 - x) = 23
x + 30 - 2x = 23
x = 7
Number of fresh water fish bought: -7
Number of salt water fish bought by: -15 -7 = 8
At the scene of an accident on a country road, police find skid marks stretching for 50 m.
Tests on the road surface show that a skidding car decelerates at 6.5 ms-2. Was the car which
skidded exceeding the speed limit of 25 ms-1 (90 kmh-1) on this road?
A. Yes B. No C. The information given is not sufficient.
Answer:
h and the rest are the best for me 7-Eleven you have to go for your
Step-by-step explanation:
happy new years and hope you have not forgotten you and have been busy happy weekend to your the as is have weekend lot here well the there is you idom not you big very for hard while and there can't a help night get be to good in the world of the world and the world is a doctor that is a good friend and is not a good person .
What is the value of 1/4 {38-14} + 3^3 divided by 9
Answer:
9
Step-by-step explanation:
See the picture for steps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}[/tex]
[tex]\mathsf{38-14=\bf 24}[/tex]
[tex]\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{\dfrac{1}{4}(24)= \bf 6}[/tex]
[tex]\mathsf{= \ 6+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]
[tex]\mathsf{= \ 6+\dfrac{27}{9}}[/tex]
[tex]\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}[/tex]
[tex]\mathsf{= \ 6 + 3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Correct answer gets brainliest and 5 stars
Answer:
10 units
Does the answer help you?
Answer:
there is 10 units between LAnd M
1. Match the letter of the centre to the lines that define it.
A Orthocentre
B. Incentre
C. Centroid
D. Circumcentre
median
altitude
perpendicular bisector
angle bisector
Answer:
A. (Orthocenter) → Altitude
B. (Incenter) → Angle bisector
C. (Centroid) → Median
D. (Circumcenter) → Perpendicular bisector
Step-by-step explanation:
A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter A is altitude
B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter B is angle bisector
C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter C is median
D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter D (which corresponds with the circumcenter) is perpendicular bisector.
find the indicated functional value for the floor function: f(-3/2)
a. -2
b. 0
c. -1
d. 1
Answer:
find the indicated functional value for the floor function: f(-3/2)
B. 0
Step-by-step explanation:
hope it helped.
° ° °
The indicated functional value for the floor function is option (C) -1 is the correct answer.
What is floor function?The floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted floor(x) or f(x). It gives the largest nearest integer of the specified value.
For the givens situation,
The floor function is f(-3/2).
The indicated functional value for the floor function is
⇒ [tex]f(-3/2)= f(-1.5)[/tex]
Here x = -1.5, the indicated functional value should be a greatest integer less than or equal to x.
Thus the indicated functional value of [tex]f(-1.5)[/tex] is [tex]-1[/tex].
Hence we can conclude that the indicated functional value for the floor function is option (C) -1 is the correct answer.
Learn more about floor function here
https://brainly.com/question/10677594
#SPJ2
(18x²+11x+1) divided by (x+2)
Answer:
It's not divisible
Step-by-step explanation:
18x²+11x+1
= 18x²+9x+2x+1
= (9x+1)(2x+1)
So, you see there's no terms (x+2) so it's not divisible
Although if you simplify it, it'll look like,
18x+51/(x+2)-25
So you can't remove the (x+2)
kx - c = 9 solve for x
Answer:
x = [tex]\frac{9+c}{k}[/tex]
Step-by-step explanation:
Given
kx - c = 9 ( add c to both sides )
kx = 9 + c ( isolate x by dividing both sides by k )
x = [tex]\frac{9+c}{k}[/tex]
find the unknown anagels in the following figure
Answer:
ABC=BCD
so, X=60'
Z= 70'
Y=50'
x²-2x=8
x² - 2x - 8 = 0
x² - 2x - 4x = 0
(x - 2) (x - 4)=0
x - 2 =0 therefore x = 2
or
x - 4 =0 therefore x = 4
Answer:
x=4 x = -2
Step-by-step explanation:
x²-2x=8
Subtract 8 from each side
x^2 -2x-8 = 8-8
x^2 -2x -8=0
What two numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
(x-4) (x+2) =0
Using the zero product property
x-4 =0 x+2 =0
x=4 x = -2
Số hạng đầu và số hạng thứ 2 của một cấp số nhân lần lượt là x+2 và x^2 -4 số hạng thứ 3 của cấp số nhân này là
Answer:
x³-2x²-4x+8
Step-by-step explanation:
a1=x+2
a2=x²-4⇒q=a2/a1=x-2
⇒a3=q.a2=(x-2).(x²-4)=x³-2x²-4x+8
Write a linear equation that goes through the points (-8,-1) and (-6,5) with a
y-intercept of 23.
Given the proportion (a/b) = (c/d), solve for c.
Answer:
c = da/b
Step-by-step explanation:
a/b = c/d
a/b x d = c
c = da/b
At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for
$45.99, and shirts for $14.99 each. How many shirts did you buy?
Answer:
3
Step-by-step explanation:
Total Money Spent = $170.86
Cost of each jeans = $39.95x2 = 79.9
Cost of each Jacket = $45.99
Cost of each shirt = $14.99
=79.9 + 45.99
=125.89
=170.86 - 125.89
=44.97
=44.97 / 14.99
=3
Answer From Gauth Math
Prove that angle ADC is congruent to angle CBA
with solution!
Step-by-step explanation:
< i'll use this too represent angle
this is only presuming that this is a parallelogram and i also don't know what those numbers mean
< ACB = < CAD (alt <s of DA II CB) A
< ACD = < CAB (alt <s of DC II AB) A
AB is common S
therefore, ∆ADC is congruent to ∆CBA
if ∆ADC is congruent to ∆CBA
then < ADC = < CBA
homework 3 distance and midpoint formulas
find the distance between each pair of points
-6' -5 and 2' 0
Step-by-step explanation:
-6-2=-8
-5-0=-5
-8^2+-5^2=64+25=89
square root of 89=9.4
Please do this ASAP, it’s due in 30 minutes!
Thank you!
No links<3
Answer:
I think it is -24t+20 if you want to simplify
Step-by-step explanation:
Answer:
-24t + 20
Step-by-step explanation:
First, remove the parentheses
Then, multiply 6 by 5
Then expand 3(2t+4) - 30t + 8
Finally simplify 6t + 12 - 30t + 8
-24t + 20
Hope this helps!
A loan on an investment property closed on July 1st for $765,000 at 5.5% interest amortized over 25 years at $4,697.77 per month. Using a 360-day year, what would the principal amount be after the monthly payment was made August 1st
Answer:
$763,808.48
Step-by-step explanation:
765,000 - (4,697.77 - (765,000 * .055/12)) =
$763,808.48
Round 2.12747677748 to the nearest ten-thousandth.
Answer:
2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.
Step-by-step explanation:
Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.
Emma is making posters by hand to advertise her school play, but her posters are not the same
length as a standard sheet of paper (the width is the same, though). She has 3 1/2 sheets of paper
left over, which she says is enough to make 2 1/3 posters. How many sheets of paper (and parts of
a sheet) does each poster use?
Answer:
1 1/2 sheets
Step-by-step explanation:
7/3 x = 7/2
x=3/2
List the coordinates for the plotted points A, B, C, and D.
Answer:
A= (3,1) ; B=(-2,-1) ; C=(-4,1) ; D=(-4,0)
Step-by-step explanation:
Plotted points are expressed by (x,y) , where the x is equal to the value that you read on the x plot and y is equal to the value that you read on the y plot.
