Answer:
Multiply the second equation by 3 and then add result to the first equation
Step-by-step explanation:
Given the equations :
x-3y=2
{2x+y=11
To solve by elimination :
Multiply one of either equations by a number to give a result such that adding the result to the other equation in the system leads to the removal of one of the unknown values.
By Multiplying the second equation by 3 and then add result to the first equation
Second equation becomes :
6x + 3y = 33
Adding the result to the first equation :
x - 3y = 2
6x + 3y = 33
___________
7x = 35
_________
Here, the y variable has been eliminated
If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?
Answer:
y=20x+10
Step-by-step explanation:
You start with $10, so this will be added on, and is not affected by the number of months.
You add $20 each month, so the 20 is dependant on x.
ANSWER: y=20x+10
One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answer:
Step-by-step explanation:
20 + g = 25
-20 -20
g = 5
1. Determining the probability of a coin landing heads up by actually tossing a coin several times is an example of what?
A. sample probability
B. theoretical probability
C. experimental probability
D. outcome probability
Answer:
C.
Step-by-step explanation:
Theoretical probability and Experimental probability are related in that theoretical probability is based on your reasoning (e.g. two sides; therefore, there is a 50% chance of heads), but experimental probability is where your numbers are based off of actual results (e.g. you landed head 1/4th of the time; therefore, there is a 25% chance of getting heads.)
What is the correct expanded form and value of
5
?
Answer:
[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]
Step-by-step explanation:
An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.
[tex]\frac{4}{5}[/tex] x [tex]\frac{16}{25}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{64}{125}[/tex]Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.
1 Rose factored the expression below. Is her answer correct? Why or why not? x2.5x + 6 + (x - 1)(x - 6)
Answer:
(x+3)(x+2)
Step-by-step explanation:
Given the quadratic equation x²+5x + 6
Factorize
x²+2x+3x+6 = 0
x(x+3)+3(x+2) = 0
(x+3)(x+2)
Hence the factored form is (x+3)(x+2)
Rose was incorrect because she uses the wrong factors
What is the inverse of the function f(x) = 2x+1
Answer:
The answer is b. h(x) = one-halfx – one-half
Step-by-step explanation:
Answer:
hey everyone its b!!!
Step-by-step explanation:
Sonu's mother is 12 years more than twice Sonu's age. After 8 years,she will be 20 years less than three times Sonu's age. Find Sonu's age and mother's age.
Answer
sonu's age=16years
mothers age=44years
Step-by-step explanation:
sonu's age be x
then, mothers age will become 2x+12
after 8years,
sonu's age=x+8
mother's=2x+12+8
a/q
3(x+8)-20=2x+12+8
3x+24-20=2x+20
3x+4=2x+20
3x-2x=20-4
x=16
sonu's age=16years
mothers age=44years
A jet plane can carry up to 200,000 liters of fuel. It used to 130,000 liters of fuel during a flights. What percentage of the fuel capacity did it use on this flight?
A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6 years
Answer:
The area after 6 years is [tex]1519.49km^2[/tex]
Step-by-step explanation:
Given
[tex]a = 2100[/tex] --- Initial Value
[tex]r = 5.25\%[/tex] --- Rate
Required
Determine the area after 6 years
Because the area reduces,, the following formula will be used to solve the question.
[tex]y = a*(1 - r)^t[/tex]
Here
[tex]t = 6[/tex]
So, we have:
[tex]y = 2100*(1 - 5.25\%)^6[/tex]
Convert percentage to decimal
[tex]y = 2100*(1 - 0.0525)^6[/tex]
[tex]y = 2100*(0.9475)^6[/tex]
[tex]y = 1519.47866516[/tex]
[tex]y = 1519.49[/tex] -- approximated
The area after 6 years is [tex]1519.49km^2[/tex]
what is the radius of a circle with an area of 212 in squared. please please simplify for me....
Answer:
8.22in
Step-by-step explanation:
Area of circle = πr²
r is the radius
Given
Area = 212in²
Substitute
212 = πr²
r² = 212/3.14
r² = 67.52
r = √67.52
r = 8.22in
hence the radius of the circle is 8.22in
Need help please and thank you!!
9514 1404 393
Answer:
y = 6·2^x
Step-by-step explanation:
The general form can be written as ...
y = a·b^x
The value of 'a' is the value of y when x=0. That is 6.
The value of 'b' is the ratio of y-values when x differs by 1. b = 12/6 = 2.
So, the equation of interest is ...
y = 6·2^x
4 7/8 in decimal form
Answer:
4.875?
convert it into an improper fraction
4 7/8 in decimal form is equal to 4.875.
To convert the mixed number 4 7/8 into decimal form, we need to add the whole number part to the fraction part.
The whole number part is 4.
To convert the fraction 7/8 into decimal form, divide the numerator (7) by the denominator (8):
= 7 ÷ 8
= 0.875
Now, add the decimal result to the whole number:
= 4 + 0.875
= 4.875
Therefore, 4 7/8 in decimal form is equal to 4.875.
Learn more about Decimal here:
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could you help me understand cross sections of three-dimenstional object its harder than it sound.
A section, or cross-section, is a view of a 3-dimensional object from the position of a plane through the object. A section is a common method of depicting the internal arrangement of a 3-dimensional object in two dimensions. It is often used in technical drawing and is traditionally crosshatched.
Cross sections of three-dimensional objects are two-dimensional shapes of various sizes. They may be parallel to a side or base of the object or at an angle to these surfaces. A cross section may resemble the shape of the object’s side or base, or it may have a completely different shape.
So far this month you have achieved $100.90 in sales which is 50% of your monthly goal l. With 5 more workdays this month, how much do you need to sell each day to reach your goal?
Christy works at the grocery store and has 242 apples to fit into 15 boxes. She fills all
of the boxes with exactly the same number of apples and sends the leftover apples to
the homeless shelter. How many apples fit into each box, and how many are going to
the homeless shelter?
16 apples go into each box, and 2 go to the homeless shelter.
O 15 apples go into each box, and 2 go to the homeless shelter,
15 apples go into each box, and 13 go to the homeless shelter.
16 apples go into each box, and 13 go to the homeless shelter.
Answer:
16 apples and 2 goes to the homeless shelter.
Step-by-step explanation: long division. 242/15= 16 with a remainder of 2.
emily sold 2 small boxes of grapefruits and 3 large boxes of grape fruit for a total $61 chelsea sold 3 small boxes of grapefruit and 3 large boxes of grapefruit for a total of $72
what is the cost of one small box of grape fruit and one large box of grapefruit
Answer:
small box costs $11, large box costs $13
Step-by-step explanation:
2S + 3L = 61
3S + 3L = 72
Eliminate the L terms: subtract first equation from second equation
2S + 3L = 61
-3S - 3L = -72
-------------------
-S = -11
S = 11
2S + 3L = 61
2(11)+3L = 61
3L = 39
L = 13
small box costs $11, large box costs $13
Answer:
no tienes idea de lo que estoy diciendo, chico
Step-by-step explanation:
the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?
1.5 volts
3 5 volts
5.5 volts
7.5 volts
Answer:
3.5?
Step-by-step explanation:
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.
We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,
Average rate = (1750 - 0) / (600 - 100)
Average rate = 1750 / 500
Average rate = 3.5
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
More about the average rate change of a function link is given below.
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If you sleep 30% of the day, how many hours do you sleep?
Answer:
7.2 hours.
Step-by-step explanation:
Search up "30% of 24"
Answer:
You sleep 7.2 hours.
Step-by-step explanation:
nsnsnsla
(2 3/8 +1 1/4)+ 2 7/8 using properties of addition
Answer:
Well The answer is: 9
Step-by-step explanation:
(2 3/8 + 11/4)=
(2 + 3) + (3/8 + 3/4)= 6 1/8
(6 1/8 + 2 7/8) =
(6 + 2) + (1/8 + 7/8) = 9
Pls give me brainliest i hope this helped
Suppose that a scientist captures 20 fiddler crabs in a small freshwater pond and marks them before releasing them back to the pond. The following week, the scientist returns and captures 30 fiddler crabs, six of which are marked. What is the estimated size of the fiddler crab population
Answer:
100 fiddler crabs
Step-by-step explanation:
If the 30 crabs are a representation of the entire population, then 6 marked crabs in a population of 30 would mean that
6 / 30 = 0.20 or 20%
20% of the entire crab population are marked. Since we know that a total of 20 fiddler crabs are marked in the pond then we can divide this number of marked crabs by 20% in decimal form to get the estimated total size of the fiddler crab population
20 / 0.20 = 100 fiddler crabs
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation:
dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
Step-by-step explanation:
The difference is 130-150 = -20, a decrease.
-20/150 ≅ -0.133, a decrease of 13.3%
what is 1 17/8 + 1 1/4 =
Answer:
39/8
Step-by-step explanation:
Find the perimeter of the following shape:
John wants to make a glider and he needs to
make sure that XM is the same length as XB
so that his glider will fly smoothly. Can you
help John calculate the length of XM 2 Find
the length of XM if XB = 7k- 3 and XM =
9k-9.
M
B
The length of XM =
Help please ............
Answer:
1
Step-by-step explanation:
We use PEMDAS, so we do the parenthese first, which is 6 x 2 = 12 and 12 / 12 gets you 1!
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If gas costs $1.95 per gallon, how many whole gallons of gas could you buy with $36.00? (Make sure to answer with a whole number.)
3. A cube has a length of 9 inches. Find its volume.
A. 486 in^3
B.639 in^3
C.729 in^3
D. 819 in^3
Answer:
C
Step-by-step explanation:
[tex]x^{3}[/tex]=volume of cube
x= length, width, or height
9*9*9=729
C
Help on number 2 please
Answer:
y=12.73 x=9
Step-by-step explanation:
What is 1/9 as whole number
Answer:
4/3
Step-by-step explanation:
because it is just that
Answer:
0.11111111111
Step-by-step explanation: