Answer:
x = 3 and y = 1
Step-by-step explanation:
Solve the following system:
{3 x + y = 10
x - 4 y = -1
Express the system in matrix form:
(3 | 1
1 | -4)(x
y) = (10
-1)
Solve the system with Cramer's rule:
x = 10 | 1
-1 | -4/3 | 1
1 | -4 and y = 3 | 10
1 | -1/3 | 1
1 | -4
Evaluate the determinant 3 | 1
1 | -4 = -13:
x = 10 | 1
-1 | -4/(-13) and y = 3 | 10
1 | -1/(-13)
Simplify 10 | 1
-1 | -4/(-13):
x = -1/13 10 | 1
-1 | -4 and y = 3 | 10
1 | -1/(-13)
Simplify 3 | 10
1 | -1/(-13):
x = -(10 | 1
-1 | -4)/13 and y = -1/13 3 | 10
1 | -1
Evaluate the determinant 10 | 1
-1 | -4 = -39:
x = (-1)/13×-39 and y = -(3 | 10
1 | -1)/13
(-1)/13 (-39) = 3:
x = 3 and y = -(3 | 10
1 | -1)/13
Evaluate the determinant 3 | 10
1 | -1 = -13:
x = 3 and y = (-1)/13×-13
(-1)/13 (-13) = 1:
Answer: x = 3 and y = 1
Which equations have the variable term in the equation –6 + 2x = 6x – 9 isolated to one side of the equals sign, and the constant isolated to the other side? Select all that apply.
Answer:
C and D
Step-by-step explanation:
–4x = –3 and 3 = 4x is the answer.
(I did the quiz)
In a certain grocery store, strawberries cost $4.96 per pound ( 4.96 dollars/lb d o l l a r s / l b ). What is the cost per ounce?
Cost of the strawberry will be $0.31 per ounce.
Given in the question,
Strawberry cost → $4.96 per poundWe can write the cost as [tex]\frac{4.96\text{ Dollars}}{1\text{Pound}}[/tex].
Since, 1 pound = 16 ounces
To convert the cost of the strawberry in dollars per ounce, multiply the price by the conversion factor [tex]\frac{1\text{ Pound}}{16\text{ Ounces}}[/tex].
So the cost of strawberry = [tex]\frac{4.96\text{ Dollars}}{1\text{Pound}}\times \frac{1\text{ Pound}}{16\text{ Ounces}}=0.31\text{ Dollars per ounce}[/tex]
Therefore, cost of the strawberry will be $0.31 per ounce.
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2 (x − 3) = 5x − 3 (x + 2)
Answer:
0=0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x−3)=5x−3(x+2)
(2)(x)+(2)(−3)=5x+(−3)(x)+(−3)(2)(Distribute)
2x+−6=5x+−3x+−6
2x−6=(5x+−3x)+(−6)(Combine Like Terms)
2x−6=2x+−6
2x−6=2x−6
Step 2: Subtract 2x from both sides.
2x−6−2x=2x−6−2x
−6=−6
Step 3: Add 6 to both sides.
−6+6=−6+6
0=0
Answer:
Not Possiable
Step-by-step explanation:
Step 1:
2 ( x - 3 ) = 5x - 3 ( x + 2 )
Step 2:
2x - 6 = 5x - 3x + 6
Step 3:
2x = 2x
Answer:
2x cannot equal 2x
Not Possiable
Hope This Helps :)
I need this answer ASAP
The table shows the number of different types of
animals in a pet store.
Pet
Quantity
Cats
10
Which statements are correct? Select all that apply.
The ratio of cats to dogs is greater than the ratio of
birds to dogs.
The ratio of cats to birds is greater than the ratio of
ferrets to birds.
The ratio of birds to ferrets is less than the ratio of
dogs to ferrets.
The ratio of ferrets to cats is less than the ratio of
dogs to cats.
Dogs
8
Birds
12
Ferrets
4.
Answer:
B and D
(The ratio of cats to birds is greater than the ratio of ferrets to birds; The ratio of ferrets to cats is less than the ratio of dogs to cats)
hope this helps :)
Answer:
it is
Step-by-step explanation:
b
d
PLEASE ANSWER I NEED HELP
What is the perimeter of the triangle?
The perimeter of the triangle is 36 units.
Distance
The distance between two points A(x₁, y₁) and B(x₂, y₂) is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of the triangle is A(0, 0), B(10, 0) and C(5, 12). Hence:
AB = 10 units
[tex]BC=AC=\sqrt{(5-0)^2+(12-0)^2}=13\ units[/tex]
Perimeter of triangle = AB + BC + AC = 10 + 13 + 13 = 36 units
The perimeter of the triangle is 36 units.
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Paisley is working two summer jobs, making $10 per hour babysitting and $22 per hour tutoring. Paisley must earn no less than $190 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours tutoring, tt, that Paisley can work in a given week.
Answer:
10bb + 22tt ≥ 190
Raquel realizó un depósito en su cuenta bancaria, pero al llegar al banco se enteró que tenía un saldo negativo de C$2376,5. Si ella depositó C$3568,5, cuánto es ahora el saldo de su cuenta?
Answer:
Saldo bancario= $1,192
Step-by-step explanation:
Dado la siguiente información:
Saldo del banco= -$2,376.5
Depósito= $3,568.5
Ella tenía una cuenta en negativo. El depósito le ayuda a cubrir el sado y pasar a tener un saldo positivo. Ahora calculamos cuánto le queda en la cuenta.
Saldo bancario= -2,376.5 + 3,568.5
Saldo bancario= $1,192
HELP PLEASE
Use greater than, equal to =, or less than sign to compare
2/3 and 1/6
Answer:
2/3 < 1/6
Step-by-step explanation:
hope this helps
Answer:
2/3 > 1/6
Step-by-step explanation:
do the measurements represent the three sides of a triangle 3 cm, 3 cm, 3 cm
Answer:
yes!!!
Step-by-step explanation:
Solve for x.
y= 2x
y=20
Simplify your answer as much as possible.
Answer:
20=2x
20/2=x
X=10
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
20 divided by 2 equals 10.
b) By selling
a watch for Rs. 2400, a
dealer gains 25%.
i) What is the cost price?
in How much percent would be profit by selling it for
Rs. 2040?
Answer:
CP=Rs 1920
profit%=6.25%
The width of a rectangle is 4 cm less than the length. The perimeter is at most 48 cm. What are the restrictions on the dimensions of the rectangle?
Answer: 2w + 2 (w + 4) ≤ 48
I don't know why, or the process tho.
If M is the midpoint of XY, XM=2x+5 and YM=25, find XY.
Answer:
50
Step-by-step explanation:
Since M is the midpoint of XY, this means that XM and MY must be equivalent from the definition of midpoint.
So:
[tex]XM=MY[/tex]
The entire length of the segment (XY) is:
[tex]XY=XM+MY[/tex]
We know that XM is equivalent to MY. Substitute MY for XM:
[tex]XY=MY+MY[/tex]
Combine like terms;
[tex]XY=2MY[/tex]
We are told that YM (or MY) is 25. So:
[tex]XY=2(25)[/tex]
Multiply:
[tex]XY=50[/tex]
So, the length of XY is 50.
And we're done!
50?
X_________M__________Y
2x + 5 = 25
x = 10 so 2(10) + 5 = 25
25 + 25 = 50
if ( 3x + 2) (5x + 1) = ax2 + bx + 2
What is the value of a - b ?
a - b= 2
Step-by-step explanation:
expanding the brackets
we have 15x^2+13x+2
a= 15 b= 13
thus, a-b =15-13
=2
The value of a - b if, (3x + 2) (5x + 1) = ax² + bx + 2 is 2 i.e a - b = 2.
What is expression?At least two numbers or variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression. The term "expression" or "mathematical expression" refers to a finite collection of symbols that are well-formed in line with context-dependent criteria.
Given:
(3x + 2) (5x + 1) = ax² + bx + 2
Write the left term of the equation in the format of the right term,
3x (5x + 1) + 2(5x + 1)
15x² + 3x + 10x + 2
15x² + 13x + 2
Compare the above equation to ax² + bx + 2,
a = 15 and b = 13
Calculate the value of a - b as shown below,
a - b = 15 - 13
a - b = 2
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HELP NEEDED MY TIME LIMIT IS ALMOST OVER ILL GIVE BRAINLIEST
Answer:
c. nrkrkrjjrjrjrkerkekkrr
Answer:
c
Step-by-step explanation:
its c :)))))
Dash offers and unlimited talk and texting plan for $80 per month AB&C charges $0.20 per text message and $55 for 1,000 min of talk time per month Horizon charges $0.10 per text message and $75 for 1,000 minutes of talk time per month what is the equation for each of them and which phone bill should I go with
Answer:
Let's define x as the number of text messages send.
y as the number of 1,000 minutes talk per month.
(so we can write y = N/1000) where N is exactly the number of minutes that you talked that month.
> The equation for Dash is:
C1(x, y) = $80
>The equation for AB&C
C2(x,y) = $0,20*x + $55*y
> Horizon
C3(x,y) = $0.10*x + $75*y.
Now, which company you should go for?
Well, it depends on the values of x and y that you have.
if in your case you have x > y, you may want to go with Horizon, because the price per text is smaller.
if you usually talk, you may want to go with AB&C because the slope for y is smaller.
If you send a lot of texts and talk a lot, then Dash is the best option, because there is no dependence with the variables x, y
Evaluate -3w -2p for w=7 and p= -3
Answer:
-3
Step-by-step explanation:
-3w-2p=-21+18=-3
what is 0.142857 repeating as a fraction????
Answer:
Step-by-step explanation:
[tex]n= 0.142857[/tex]
[tex]1000000n= 0.142857[/tex]
Move the decimal point using the 1000000n
You should get 142857.142857 repeating
Subtract n from both sides [tex]142857.142857- 0.142857[/tex]
You should get 142857 without the repeating decimal.
The equation is now: [tex]142857/999999[/tex] (fraction)
A cool trick to find out if you can reduce that is: [tex]1+4+2+8+5+7[/tex] (equals 27) is the answer to that addition a number divisible by three (yes). So the number 142857 is divisible by 3 which means that you can simplify the fraction.
You can use a calculator for 142857/3 (division) (unless your teacher says you can't)
You should get 47619
You should get[tex]47,619/333333[/tex] (fraction).
I think you can divide that by 3 again. [tex]4+7+6+1+9[/tex] is 27, which is divisible by 3.
Again, you can use a calculator for 47619/3 (division) (unless your teacher says you can't)
You should get 15,873
You should get 15,873/111111 (fraction)
The repeating decimal 0.142857 is equivalent to the fraction 1/7.
Given that we need to convert a repeating decimal 0.142857 as a fraction.
The repeating decimal 0.142857 can be expressed as a fraction. To understand how to convert it, let's denote it as x:
x = 0.142857...
To convert this repeating decimal to a fraction, we can multiply x by a power of 10 to shift the decimal point and eliminate the repeating part.
Since there are six digits in the repeating block (142857), we can multiply x by 10⁶ to remove the repeating part:
10⁶ · x = 142857.142857...
Next, we subtract the original equation from the one above to eliminate the repeating part:
(10⁶ · x) - x = 142857.142857... - 0.142857...
Simplifying the equation:
999999x = 142857
Now, we can solve for x by dividing both sides of the equation by 999999:
x = 142857 / 999999
Simplifying the fraction:
x = 1 / 7
Therefore, the repeating decimal 0.142857 is equivalent to the fraction 1/7.
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A beverage is made by mixing 3 parts of water with 5 parts of fruit juice. How many parts of water are mixed with 1 part of fruit juice? A. 3 over 8 B. 3 over 5 C. 5 over 3 D. 5 over 8
If a beverage is made by mixing 3 parts of water with 5 parts of fruit juice then 3/5 fraction of water is mixed with 1 part of fruit juice.
Given that, a beverage is made by mixing 3 parts of water with 5 parts of fruit juice.
What is fraction?Fraction is a combination of numerator and denominator. The number above the division sign is known as numerator and the numerator below the division side is known as denominator.
We have been given that to make a beverage 3 parts of water with 5 parts of fruit juice and we are required to find the fraction of water mixed with 1 part of fruit juice.
Water mixed with 1 part of fruit juice
= Water mixed with 5 parts of fruit juice/5
= 3/5
Hence, if a beverage is made by mixing 3 parts of water with 5 parts of fruit juice then 3/5 fraction of water is mixed with 1 part of fruit juice.
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(-8 ÷ 4) + 5 + 4(3 - 6)=
Answer:
-9
Step-by-step explanation:
(-8/4)+5+4(3-6)
-2+5+12-24
17-26
-9
Answer:
-9
Step-by-step explanation:
(-8 ÷ 4) + 5 + 4(3 - 6]
-2+5+12-24
-9
What is the perimeter of a square with a side length of 3x?
Answer: 12
Step-by-step explanation: to find perimeter we have to add all the sides of the shape so, for a square you can just simply multiply your given side 3 by 4 because there is 4 sides of a square and this equals to 12.
someone help me please
This is the answer
Hope this answer is helpful...
Hope this answer is helpful...Make me as brainliest...
In Triangle ABC, the length of Segment AB is equal to the length of segment AC. The length of segment BC is 4 less than twice the length of segment AB. If the perimeter of Triangle ABC is 52, find the length of segment AB.
Step-by-step explanation:
Let x be the length of segment AB.
Then the length of segment BC is (2x - 4).
The length of segment AC is x.
We know that x + (2x - 4) + x = 52.
Therefore 4x - 4 = 52, 4x = 56, x = 14.
Hence the length of segment AB is 14.
Answer:
14
Step-by-step explanation:
did I do this right also how should I finish it?
it depends on what your supposed to do i would finish it myself
8 times a number plus 3 times the number is the same as 9 more than 12 times the number. find the number
Answer:
-9
Step-by-step explanation:
let 'x' be the unknown number
lets change the statment to an equation
8x + 3x = 12x + 9
11x = 12x + 9
11x-12x = 9
-x = 9
x = -9
hope it helps ❤❤❤
For any question comment me
What is the order of these numbers? Order the numbers from least to greatest. Please help! Thank you so much! −1.4, −85, 0.6, −0.9, 14
0.15(y-0.2)=2-0.5(1-y)
The answer is -153/35 I just need to know how to get that
Answer:
[tex]y=-\dfrac{153}{35}[/tex].
Step-by-step explanation:
The given equation is
[tex]0.15(y-0.2)=2-0.5(1-y)[/tex]
Using distributive property, we get
[tex]0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)[/tex]
[tex]0.15y-0.03=2-0.5+0.5y[/tex]
[tex]0.15y-0.03=1.5+0.5y[/tex]
Isolate variable terms.
[tex]0.15y-0.5y=1.5+0.03[/tex]
[tex]-0.35y=1.53[/tex]
Divide both sides by -0.35.
[tex]y=\dfrac{1.53}{-0.35}[/tex]
[tex]y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}[/tex]
[tex]y=-\dfrac{153}{35}[/tex]
Therefore, [tex]y=-\dfrac{153}{35}[/tex].
Adrianne is going to buy dog treats for $2 each, plus a new $5 dog toy. She will not spend more than $30. What’s the equation
Vivi is a drummer for band she burns 756 calories while drumming for 3 hours she burns the same number of calories each hour how many calories does vivi burn per hour?
Answer: 252 cph
Step-by-step explanation: 756 divide by 3 is 252