Step-by-step explanation:
{
x
=
1
y
=
4
Explanation:
Take a look at your starting system of equations
{
5
x
+
y
=
9
10
x
−
7
y
=
−
18
Notice that if you multiply the first equation by
(
−
2
)
, and add the right-hand sides and the left-hand sides of the equations separately, you can eliminate the
x
-term.
This will leave you with one equation with one unknown,
y
.
{
5
x
+
y
=
9
∣
⋅
(
−
2
)
10
x
−
7
y
=
−
18
{
−
10
x
−
2
y
=
−
18
10
x
−
7
y
=
−
18
---------------------------------------------------
−
10
x
−
2
y
+
10
x
−
7
y
=
−
18
+
(
−
18
)
−
9
y
=
−
36
⇒
y
=
(
−
36
)
(
−
9
)
=
4
Now use this value of
y
in one of the two original equations to find the value of
x
5
x
+
(
4
)
=
9
5
x
=
5
⇒
x
=
5
5
=
1
what is There are fourteen whole snack bars on a plate. There are five friends.
Carl eats 2.5 snack bars.
Dave eats 2.7 snack bars.
Tony eats 2.5 snack bars.
Gary eats 2.0 snack bars.
Tyrone eats 2.3 snack bars.
Carl says he ate the most snack bars. Is Carl correct? There are no more snack bars on the plate. Gary looks at the snack bar pieces that each friend has left. Gary says they only ate a total of a dozen snack bars. How does Gary know that the friends only ate a total of a dozen snack bars? Show all your mathematical thinking.
Carl is incorrect. Dave ate a higher fraction of snack bars, by 0.2 snack bars.
Carl had .5 left of a snack bar.
Dave had .3 left of a snack bar.
Tony had .5 left of a snack bar.
Gary had .0 left of a snack bar.
Tryone had .7 left of a snack bar.
If we add the above snack bars, there is a total of two remaining snack bars, meaning they only ate 12 of 14 snack bars.
Please help me:) i will give brainliest to the right answer<3
Answer:
It does
Step-by-step explanation:
It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.
Hope this Helps!!
When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?
Answer:
4.5%
Step-by-step explanation:
Answer:
4.5%
Step-by-step explanation:
4 3/8+1 1/4 simplified
Answer:
45/8 or 5 5/8
Step-by-step explanation:
hope this helped
The first part of the trip was in a surrey at 8 mph, and the last part was in a buckboard at 12 mph. If the total trip was 104 miles and took 10 hours, how much of the trip was made in each type of carriage?
Answer:
4 hours at 8 mph and 6hours at 12 mph.
Step-by-step explanation:
8t + 12(10-t) = 104
8t + 120 - 12t = 104
4t = 16
t = 4
The trip made on surrey was for 4 hours and on buckboard was for 6 hours.
What is speed?Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.
Given that, the first part of the trip was in a surrey at 8 mph, and the last part was in a buckboard at 12 mph and the total trip was 104 miles and took 10 hours,
Speed = distance / time
Let t be the time,
Therefore,
8t + 12(10-t) = 104
8t + 120 - 12t = 104
4t = 16
t = 4
Therefore, we get, 4 hours at 8 mph and 6 hours at 12 mph.
Hence, the trip made on surrey was for 4 hours and on buckboard was for 6 hours.
Learn more about speeds, click;
https://brainly.com/question/28224010
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Solve 2x +2>10 quickly please
Answer:
x > 4
Step-by-step explanation:
2x+2>10 Subtract by 2 on both sides
2x>8 Divide by 2 on both sides
x>4
HERES MY QUESTION???!!!!!!!!!!!!!!!
Answer: x=55 y=145
x=55
35+90=125
125-180=55
y=145
180-35=145
I hope this is good enough:
Answer:
x=55
35+90=125
125-180=55
y=145
180-35=145
Step-by-step explanation:
The lowest point on Earth is Challenger Deep, at the bottom of the Marina Trench: 35,797 feet below sea level. The highest point is the summit of Mount Everest: 29,029 feet above sea level. What is the distance, in feet, between Challenger Deep and Mount Everest? Explain your answer.
Answer:
Step-by-step explanation:
add the two together to get your answer of 64,826. the reason why you would is because the marina trench is represented as 35,797 with sea level being 0. so to find the difference you would do 29,029-(-35,797), or just add the two together
Answer:
100,623
Step-by-step explanation:
2 1/2 times (-3 3/4)
Answer:
-9.375
Step-by-step explanation:
2 1/2 x (-3 3/4) = -9.375
Answer: [tex]-9\frac{3}{8}[/tex]
Step-by-step explanation:
Solve for x : sq.root(2x^2 + 1)=2
Answer:
x=3
Step-by-step explanation:
Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.57 inches if she needs 1,000 ribbons what is the length of ribbon sarah need
Answer:
3,570
Step-by-step explanation:
To find the answer, you have to multiply 1,000 and 3.57
3.57 x 1,000 = 3,570
Suppose that R(x) is a polynomial of degree 12 whose coefficients are real numbers.
Also, suppose that R(x) has the following zeros.
-2, 3, -4, -3-5i
Answer the following.
(a) Find another zero of R(x).
(b) What is the maximum number of real zeros that R (x) can have?
(c) What is the maximum number of nonreal zeros that R(x) can have?
Answer:
C) 3
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. It hecessary, use
Find the factors of function f, and use them to complete this statement.
(6) = 224 - 29 - 1832 + 99
From left to right, function fhas zeros at I =
and I
Answer:
Step-by-step explanation:
you can start by factoring x
x(2x³-x²-18x+9)
you can group terms in parentheses strategicly
x(2x³-18x-x²+9)=x[2x(x²-9)-(x²-9)]
now we can factor x²-9
x(x²-9)(2x-1)
factor the diference of two squares x²-9=x²-3²
x(x-3)(x+3)(2x-1)
so the roots are found by using the zero product rule
x(x-3)(x+3)(2x-1)=0 will give
x=0, x-3=0 so x=3, x+3=0 so x=-3, 2x-1=0 so x=1/2
from left to right
-3, 0, 1/2, 3
Answer:
1. -3
2. 0
3. 1/2
4. 3
Step-by-step explanation:
What is the sum of the polynomials? 8x2-9y2-4x
Answer:
9x^2-12y^2-11x
Step-by-step explanation:
I took the test.
help with the question pls pls pls pls pls pls pls pls pls pls
Answer:
when
[tex]x\ge 0[/tex]
then
[tex]x\times \left|x\right|=x^{2}[/tex]
Step-by-step explanation:
As we know that
When x is positive
[tex]\left|x\right|=\:x[/tex]
As from the question,
[tex]x\ge 0[/tex]
so the expression will be:
[tex]x\times \left|x\right|=x\times x=x^2[/tex] ∵ [tex]x\ge 0[/tex] so [tex]\left|x\right|=\:x[/tex]
Therefore,
[tex]x\times \left|x\right|=x^{2}[/tex]
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
Helen plans on reading 2 books this year. If there are 7 books on her reading list to choose from, how many different book
choice combinations are possible?
Provide your answer below:
Answer:
14
Step-by-step explanation:
PLEASE HELP ME WITH THE ANSWER! THANK YOU!
helen got a$7 reduction in the price of a pair of jeans that are normally $32 what is the approximate percent decrease in the price
Answer:
The percent decrease is approximately 21%.
Step-by-step explanation:
six cats catch six mice in six minutes. how many cats are needed to catch 60 mice in 60 minutes
Answer:
10 cats
Step-by-step explanation:
If there are 10 cats, they all will catch 6 mice each, which means 60 mice in total. If they catch 6 mice in 6 seconds, that means they will catch 60 mice in 60 seconds. You need 10 cats to get this task done
How did they figure out the answer was 4 for the fraction problem solving. There are 36 people in the Newtown Hiking Club. 2/3 of the club must vote yes if the club is to hike the Northern Trail. 20 people have voted yes. How many more yes votes are needed?
Answer:
Step-by-step explanation:
I need help with whole thing teacher is putting pressure on me and I have a 10 in her class
Answer:
So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.
So when it says X -4
Y 5
Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)
Step-by-step explanation:
I really hope this helps you its hard to describe over type:(
Good luck:))
Three six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?
Answer:
15
Step-by-step explanation:
Given that:
Three six-sided dices are to be rolled.
The number of ways to have the same value on the two dices is:
{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) } = 6 ways
Thus; the objective is to determine the number of ways to a get smaller value on the third dice while the two other dice have the same value.
To get started:
The number of ways for getting a value smaller than 1 = 0
The number of ways for getting a value smaller than 2 = 1
{i.e. (2,2,1)}
The number of ways for getting a value smaller than 3 = 2
{ i.e. (3,3,1) ,(3,3,2) }
The number of ways for getting a value smaller than 4 = 3
{ i.e. (4,4,1) , (4,4,2), (4,4,3)}
The number of ways for getting a value smaller than 5 = 4
{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}
The number of ways for getting a value smaller than 6 = 5
{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }
Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15
Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15
is it possible to build a triangle with lengths of 5 7 12
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Help ASAP plsssssssssssssssssssssss
Answer:
3/4
Step-by-step explanation:
This is because its going down by 3 and over by 4.
Answer:
12/20=3/5
Step-by-step explanation:
When looking at the picture, you can see that 12 out of 20 squares are shaded. That means that 12/20 are McIntosh apples. Simply that down to 3/5, and that is your answer!
Hope this helps! :)
The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Answer:
26 and 32 are the two numbers, the product is 832
A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into the tank at 6 gallons per minute and the well-stirred solution runs out at 5 gallons per minute. How long will it be until there are 25 pounds of salt in the tank?The amount of time until 25 pounds of salt remain in the tank is " ? " minutes.Set up a differential equation and separate variables.
Answer:
1.857 minutes
Step-by-step explanation:
From the given information:
Consider the amount of salt present in the tank as x(t) at a given time (t); &
The volume of the solution = V(t)
At t = 0 i.e. (at initial conditions) x(0) = 30; and V(0) = 50
However, the overall increase taken place for 1 gallon per minute is:
V(t) = 50 + t
The amount of salt x(t) at any given point for time (t) is;
[tex]\dfrac{x(t)}{V(t)}= \dfrac{x(t)}{50+t}[/tex]
After 5 gallons of solution exit per minute; the concentration of the salt solution changes at:
[tex]\dfrac{dx(t)}{dt}= -\dfrac{5x(t)}{50+t}[/tex]
Taking the integral of what we have above, we get:
In x(t) = - 5 In(t + 50) + In (C)
In x(t) = In (t+ 50)⁻⁵ + In (C)
In x(t) = In C ( t + 50)⁻⁵
x(t) = C(t + 50)⁻⁵ (General solution)
To estimate the required solution; we apply the initial conditions x(0) = 30;
Thus;
x(0) = C(50)⁻⁵ = 30
⇒ C = 30 × 50⁵
Hence; x(t) = 30 × 50⁵ × (t + 50)⁻⁵
The above expression can be re-written as:
[tex]x(t) = 25 \implies 30 \times \bigg ( \dfrac{50}{t+50} \bigg ) ^5= 25[/tex]
i.e.
[tex]\bigg ( \dfrac{50}{t+50} \bigg ) ^5= \dfrac{25}{30}[/tex]
[tex]\dfrac{50}{t+50}= \bigg ( \dfrac{25}{30}\bigg) ^{\dfrac{1}{5}}[/tex]
[tex]\dfrac{50}{t+50}= 0.964192504[/tex]
[tex]{50}= 0.964192504(t+50)[/tex]
50 = 0.964192504t + 48.2096252
50 - 48.2096252 = 0.964192504t
1.7903748 = 0.964192504t
t = 1.7903748 / 0.964192504
t ≅ 1.857 minutes
We can thereby conclude that the estimated time it will require until there are 25 pounds of salt in the tank is 1.857 minutes.
What type of triangle can have one right angle?
Answer:
A right triangle and an isosceles
Step-by-step explanation:
2 QUESTIONS FOR DOUBLE POINTS!! 20 POINTS!!
Rylee bought a 5-kilogram can of peanuts for $4.50. What is the unit price?
A 20-ounce box of cereal costs $3.20. A 12-ounce box of cereal costs $1.80. Which box of cereal is the better buy?
Answer: The unit price is $0.90 per kilogram
6. Write 3,047.092 in expanded form.
Answer:
3,047.092 =
3,000
+ 0
+ 40
+ 7
+ 0.0
+ 0.09
+ 0.002
Step-by-step explanation:
