System of equation consists of two or more equations with unknow variables. A possible step used in eliminating the y-term is (y + z 6) *5
System of equationsSystem of equation consists of two or more equatons with unknow variables.
Given the system of equations
y + z = 6
5y + 9z =1
In order to eliminate the variable "y", we will multiply equation 1 by 5 and subtract from equation 2;
5y + 5z = 30
5y + 9z = 1
Subtract
5z - 9z = 30 - 1
-4z =29
This leaves only the variable "z" eliminating variable. "y"
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Researchers capture and mark 43 squirrels in a park. The next week, researchers capture 50 squirrels and 38 of them are marked from the previous month. Estimate the squirrel population in the park.
The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55
How to determine the population of squirrel?The given parameters are:
Marked squirrels = 43
Captured squirrels = 50
Of the 50 captured squirrels, 38 are from the marked squirrels.
This means that the number of unmarked squirrels is:
Unmarked = 50 - 38
Evaluate
Unmarked = 12
The population of the squirrel is then calculated using:
Population = Marked + Unmarked
So, we have:
Population = 43 + 12
Evaluate the sum
Population = 55
Hence, the estimate of the population of squirrel in the park is 55
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Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7 A) (x - 36)2 = 9 B) (x - 6)2 = 48 C) (x - 36)2 = -9 D) (x - 6)2 = -48
Answer:
(x - 6)^2 = 48.
Step-by-step explanation:
x2 - 12x - 5 = 7
x2 - 12x = 12
(x - 6)^2 - 36 = 12
(x - 6)^2 = 48
which of the following is an example of the atmosphere inracting with the biosphere
Answer:
rain (hydrosphere) falls from clouds in the atmosphere to the lithosphere and forms streams and rivers that provide drinking water for wildlife and humans as well as water for plant growth (biosphere)
Step-by-step explanation:
which statement about christophers performance is correct
Answer:
what !!!!!!!!!!!?!!!???????????!!??!?!??!!!?!?!!!?!!!!
Step-by-step explanation:
this is a joke like reallyy
suppose felino deposited $1500 in the bank for 3 years. he makes $112.50 in simple interest at the end of the 3 years. find the annual interest rate
expressions that are equal to 4 times the square root of 5
Answer:
Simplify 4/ (square root of 5) 4 √5 4 5 Multiply 4 √5 4 5 by √5 √5 5 5. 4 √5 ⋅ √5 √5 4 5 ⋅ 5 5
Step-by-step explanation:
Jacob is twice as heavy as Ken Linda is half as heavy as Ken Giver 3 children is at least 35 kg. a By letting Linda's mass be x, write an inequality for the total mass of the 3 children b. Hence, find the minimum mass of Ken Monica wanted to buy x notebooks at $3.50 each and 15 rulers at $(x+0.20) each She had a budget of $105 only c. Write an inequality for Monica's total expenditure . Hence, how many notebooks can she buy at most?
==> she can buy 45 notebooks at most.
[tex] \: \: \: \: [/tex]
which expressions are equivalent to 4^-2*7^-2
Answer:
[tex]\textsf{B)}\quad \dfrac{1}{28^2}[/tex]
[tex]\textsf{C)} \quad \dfrac{7^{-2}}{4^2}[/tex]
Step-by-step explanation:
[tex]4^{-2} \cdot 7^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b \cdot c^b)=(ac)^b:[/tex]
[tex]\implies (4 \cdot 7)^{-2}[/tex]
[tex]\implies (28)^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{28^2}[/tex]
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Also,
[tex]4^{-2} \cdot 7^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{7^{-2}}{4^2}[/tex]
[tex]\\ \rm\Rrightarrow 4^{-2}7^{-2}[/tex]
a^{-n}=1/a^n[tex]\\ \rm\Rrightarrow \dfrac{1}{4^2.7^2}[/tex]
a^n×b^n=(ab)^n[tex]\\ \rm\Rrightarrow \dfrac{1}{(4.7)^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{28^2}[/tex]
If we break only 4
[tex]\\ \rm\Rrightarrow \dfrac{7^{-2}}{4^2}[/tex]
Option B and C
I think it’s
True
False
True
False
True
Answer:
False
False
True
True
True
Step-by-step explanation:
Answer:
False
False
True
True
True
Step-by-step explanation:
up ;)
PLEASEE HELPPP TEST DUE IN 20 MINUTES!! A Question 2 (2 points) Retake question
When solving the following equation by completing the square, what would you add
to both sides of the equation in order to complete the square? X^2-10x =3
6
3
15
25
9
10
1
Answer:
D. 25
Step-by-step explanation:
To find the new value of c when completing the square, use the formula [tex](\frac{b}{2} )^{2}[/tex].
Plugging in the given values:
[tex](\frac{10}{2} )^{2}[/tex]
(5)²
= 25
hope this helps!
Answer:
25
Step-by-step explanation:
when solving the equation, you're going to add have the coefficient of x to bothsides.
from the question, the coefficient of x is 10 and half of it is 5
5^2= 25
hope this helps!!!please rate and mark brainliest.Hi, I have a Q, how do I use it?
Answer:
use what
Step-by-step explanation:
PLEASE HELP!!!!
What is the area of the picture below?
you either multipy or add all of the numbers and find the perimeter
Please help!! Will mark brainlyest.
Answer:
1 and 2
Step-by-step explanation:
A 15kg bag of strawberry for $8
Answer:
see below
Step-by-step explanation:
Not sure what you are looking for :
15 kg / $8 = 1.875 kg per dollar
$8 / 15 kg = .533 dollars per kilogram
Find the area of the figure. Use 3.14 for 77.
in
7 in
A. 56.13 in2
B. 35.13 in2
C. 70.26 in2
D. 49,26 in2
Answer:
C 70.26 in2
Step-by-step explanation:
6 = D
R = D/2
R = 3
A = 3.14 x 3 x 3
A = 3.14 x 9
A = 28.26
The area of the triangle is
A = 6 x 7
A = 42
So
42 + 28.26
70.26 in2
Tell me the answer and show work pls
Answer: a12 = 1/5120
Step-by-step explanation:
geometric sequence formula: an = a1*r^(n-1)
a1 = 2/5, r= 1/2, n= 12
a12 = 2/5*r^11
a12 = 2/5*1/2048
a12 = 1/5120
Each day, a salesperson earns $25 plus 5% of their total sales for the day. The salesperson's goal is to earn more than $50 on Thursday. Which statements are true? Select all that apply.
The true statement about the inequality is that Total sales per day is greater than $250
How to write and solve inequality equation?Total sales per day = xAmount earned per day = 25 + 5% of x= 25 + 0.05x
Thursday = 4th day of the weekThe inequality:
4(25 + 0.05x) > 50
100 + 0.2x > 50
100 - 50 > 0.2x
50 > 0.2x
x > 50/0.2
x > $250
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500ml of milk for 60p
4 litres for £3.20
Which bottle is better value for money?
Answer:
4 liters for £3.20
Step-by-step explanation:
we want to maximize quantity for each unit of money spent. if we use mL and p, we want to maximize mL/p
500 mL = 60 p
divide both sides by 60p to get a mL/p value
500 mL/60 p = 50/6 p ≈ 8.3 mL per pence
4 L = £3.20
note:
1000 mL = 1L
divide both sides by 1 L/ 1000 mL
1000 mL / 1 L = 1
1 L / 1000 mL = 1
100 p = £1
divide both sides by 100p / £1
100p / £1 = 1 = £1 / 100p
convert everything to the same units (mL and p) to accurately compare
4 L = £3.20
4L = 4L * 1 = 4L * 1000 mL / 1 L = 4000 mL. Note that we have two options to choose from -- 1000 mL / 1 L and 1 L / 1000 mL. We choose the first one here because we want the 4L to cancel out with the 1 L
£3.20 = £3.20 * 1 = £3.20 * 100p / £1 = 320 p. note we put the £1 on the bottom so the euros cancel out.
thus,
4 L = £3.20
= 4000 mL = 320p
divide both sides by 320p to get a mL / p value
4000 mL / 320 p = 12.5 mL/p
8.3 mL per pence in the first one
12.5 mL per pence in the second one
the second one has a higher mL per pence, so that is a better value
Pls help! find the area of each figure. use 3.14 for π
Answer:
39.5
Step-by-step explanation:
1 Triangle; 3
other Triangle; 4.5
Rectangles; 32
Hope This Helps! :)
Javier is building a recyangular case that has a lenth of 28 centime ters, a width of 20 centimeters, and a height of 14 centimeters. He decides to change the height to be 2 times the original height
Answer:
124
Step-by-step explanation: Since the length is 28, the width is 20, and teh height is 14, you have to do 28+20+14, which equals 62. 62 x 2 = 124.
Answer number 11 please thank you
Answer:
A. No
B. No
C. Yes
D. No
jfzisossyokszkvgtis
What is the percent of change 30in to 24in
Answer:
1/5
Step-by-step explanation:
30 - 24 = 6
6 = 6/30
6/30 = 1/5
Answer: 20%
Step-by-step explanation: 30- 24 = 6
6/30 × 100/ 1 = 20%
Joe, a plumber, charges $45 per hour plus
$100 for making an in-home visit. Write
and solve an equation to find out how
many hours of plumbing work are needed
Answer: The answer is five
Step-by-step explanation:
Set y = z
50x + 75 = 65x
Subtract 50x from both sides
50x (-50x) + 75 = 65x (-50x)
75 = 15x
Divide both sides by 15
75 (/15) = 15x (/15)
5 = x
And there we have it, x = 5! So it takes 5 hours of work for each to cost the same.
Answer: (Y - 100)/ 45 =No of hours
where y is the full payment
Step-by-step explanation:
Charges per hour plus visit is 45+100 where 100 Is fixed
2hr is (45 × 2) +100
Payment y for Xhrs= 45X + 100
Y =45X + 100
Y -100 =45X
Y -100/45 = X
Find the midpoint of CD.
C = (-3,4) and D = (5,-8)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 -3}{2}~~~ ,~~~ \cfrac{ -8 + 4}{2} \right)\implies \left(\cfrac{2}{2}~~,~~\cfrac{-4}{2} \right)\implies (1~~,~~-2)[/tex]
explanation & answer
Answer:
The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].
Step-by-step explanation:
The given problem is [tex]\displaystyle \frac{2x}{3}+\frac{(3)x-2}{2}[/tex] .
Let's start by finding common denominators for the fractions so that we can add them. The simplest common denominator is 6; we multiply [tex]\frac{2x}{3}[/tex] by [tex]\frac{2}{2}[/tex] and [tex]\frac{3x-2}{2}[/tex] by [tex]\frac{3}{3}[/tex].
[tex]\displaystyle \frac{2x}{3} \times \frac{2}{2} =\frac{4x}{6}[/tex][tex]\displaystyle \frac{3x-2}{2} \times \frac{3}{3} = \frac{3(3x-2)}{6} = \frac{9x-6}{6}[/tex]Now, since the fractions have common denominators, we can add them together.
[tex]\displaystyle \frac{4x}{6} + \frac{9x-6}{6} = \frac{13x-6}{6}[/tex]The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].
Eddie drew a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 6 feet. If the actual width of the porch is 18 feet, how wide is the porch in the drawing?
Answer:
3 inches
Step-by-step explanation:
18/6=3
the table below shows the length of the hiking trails at a local park. Aaron hikes half of the blue trail. what distance did he hike?
Answer:
The answer is B.
Step-by-step explanation:
I was trying to answer ur question a little bit ago, where it had multiple quesitons, but it had gotten deleted. I saved the answers for you
1st one- B(This question lol) , second one- C, third one- ?, fourth one- C, Fifth one- A.
I wasnt sure about the third one but i got the others...
Hope it helps you :)
Pls mark brainleist :P
`
`
`
w/ <3...
Tori
Answer:
Its 0.5 miles
Step-by-step explanation:
can someone pls help me !!
Answer:
I am not sure
Step-by-step explanation:
I believe if you take and break down what you paid and then it will be easier to figure out the interest
1
1. The measure of 2G is 82º. What is the
measure of its supplement?
Answer:
98º
Step-by-step explanation:
Since a supplementary angle is 2 angles which equal 180 degrees we would have this angle and 1 more angle that add up to 180:
[tex]82+x=180[/tex]
subtract 82 from both sides
[tex]x=98[/tex]
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?