Solve the simultaneous equations 4x+y=10 X-5y=13
Answer: 4x + y = 10 is -y+10/4 X-5y=13 is x=5y+13
Step-by-step explanation:
The value of x and y in the equations given are -2 and 3 respectively.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given are two equations, 4x+y = 10 and x-5y = 13, we need to solve the equations,
4x+y = 10.......(i)
x-5y = 13
x = 13+5y......(ii)
Substituting eq(ii) in eq(i)
4(13+5y)+y = 10
52+20y+y = 10
21y = 10-52
21y = -42
y = -2
Put y = -2 in equation (ii),
x = 13+5(-2)
x = 13-10
x = 3
Hence, The value of x and y in the equations given are -2 and 3 respectively
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At 12 noon, the
temperature was
3°F. Then the
temperature fell
steadily and reached
-1°F at 2:00 PM.
Noon to 2:00 pm is 2 hours
3 degrees to -1 degree is a total of 4 degrees.
The temperature changed 4 degrees in 2 hours.
4/2 = 2
The temperature dropped 2 degrees per hour.
What is the greatest common factor (GCF) of 51 and 68?
A. 12
B. 3
C. 17
D. 2
Factors of 51: 1, 3, 17, 51
Factors of 68: 1, 2, 4, 17, 34, 68
As you can see the greatest common factor of both numbers is 17.
Therefore, the answer is C.
Best of Luck!
Megan bought 3 pounds of apples that cost x dollars per pound. She gave the cashier a 20-dollar bill.
Which equation could Megan use to find the amount of change, y, she should receive?
A. y = 20-3
O B. y = 20 - 3
) C. y = 20 x
D. y = 20 - 3x
Ey = 3x - 20
Answer:
3x-20
Step-by-step explanation:
I had this test yesterday and this was the correct answer
The equation D. y = 20 - 3x Megan use to find the amount of change.
What is an equation ?An equation is is a tool that expresses two equality of two given expressions.
According to the given question Megan bought 3 pounds of apples that cost x dollars per pound. She gave the cashier a 20-dollar bill.
Let y denotes the change she received.
If 1 pound of apple cost x dollars then 3 pounds of apples will cos 3×x = 3x dollars.
∴ y = 20 - 3x.
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3(x - 7) + 4 = 28 - 2x
Answer:
3x-21+4=28-2x...... Multiply 3 with (x-7)
3x+2x=28+21-4......Take - 2x from right side to left side which makes it +2x and - 21+4 from left side to right side which makes it +21-4
5x=45.....Add and subtract as required
x=45/5....Taking 5 from left side to right side and dividing it
x=9.....Normal division
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf x = 9}}}}[/tex]
Step-by-step explanation:
[tex]\sf 3(x-7) + 4 = 28 - 2x \\\\Resolving\ Parenthesis\\\\3x - 21 + 4 = 28 - 2x \\\\3x -17 = 28 - 2x\\\\Combining \ like \ terms\\\\3x + 2x = 28+17\\\\5x = 45\\\\Dividing\ both \ sides\ by\ 5\\\\\boxed{\sf x = 9 }[/tex]
1. 2(4x - 3) - 8 = 4 + 2x
Can sb help slove this using PEMDAS ?
Answer:
x=3
Step-by-step explanation:
1) get rid of the parenthesis by distributing the 2. You will get 8x-6-8=4+2x
2) Now combine like term on each side of the equal sign. You will get 8x-14=4+2x
3) Move the 14 to the right side of the equation making it +14 and move your 2x to the left side of the equation making it -2x. You will get 8x-2x=4=+14
4) calculate each side. You will get 6x=18
5) Divide both sides. You will get x=3
(-8, 4), (10, -9)
Find the midpoint
Answer:
The midpoint between 2 points is (1,2.5) .
Step-by-step explanation:
We have to apply midpoint formula :
[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
[tex]let \: (x1,y1) \: be \: ( - 8,4)[/tex]
[tex]let \: (x2,y2) \: be \:(10 , - 9)[/tex]
[tex]midpoint = ( \frac{ - 8 + 10}{2} , \frac{4 + ( - 9)}{2} )[/tex]
[tex]midpoint = ( \frac{2}{2} , \frac{ - 5}{2} )[/tex]
[tex]midpoint = (1,2.5)[/tex]
how do u solve this pleaase
Answer:
[tex] \huge \frac{4}{9 {x}^{4} {y}^{6} }[/tex]
Step-by-step explanation:
[tex] \huge \bigg( \frac{2 {x}^{ - 2} }{3 {y}^{3} } \bigg)^{2} \\ \\ \huge = \frac{ {2}^{2} ( {x}^{ - 2})^{2} }{ {3}^{2} ( {y}^{3} ) ^{2} } \\ \\ \huge = \frac{4 {x}^{ - 4} }{9 {y}^{6} } \\ \\ \huge = \frac{4}{9 {x}^{4} {y}^{6} } \\ [/tex]
Garrett answered 90% of 40 test problems correctly.How many problems did Garrett get wrong
Answer:
he got 4problems wrong
can you please give me brainliest
b. 11| – 6| + 15
Someone please help
The sum of two odd numbers is even
Answer:
Yes.
Step-by-step explanation:
The sum of two odd numbers is always even. The product of two or more odd numbers is always odd. The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd.
Q:Resolve this into partial fraction.
9/(X-1)(X+2)^2
Answer:
[tex]\frac{1}{x-1}[/tex] - [tex]\frac{1}{x+2}[/tex] - [tex]\frac{3}{(x+2)^2}[/tex]
Step-by-step explanation:
Expressing as a partial fraction
[tex]\frac{9}{(x-1)(x+2)^2}[/tex] = [tex]\frac{A}{(x-1)}[/tex] + [tex]\frac{B}{(x+2)}[/tex] + [tex]\frac{C}{(x+2)^2}[/tex] ( A, B, C are numerical values to be found )
Multiply both sides by (x - 1)(x + 2)²
9 = A(x + 2)² + B(x - 1)(x + 2) + C(x - 1)
Choose value for x that are zeros of the factors and substitute into right side
x = - 2 : 9 = - 3C ⇒ C = - 3
x = 1 : 9 = 9A ⇒ A = 1
x = 0 : 9 = 4A - 2B - C , that is
9 = 4 - 2B + 3 = - 2B + 7 ( subtract 7 from both sides )
2 = - 2B ⇒ B = - 1, then
A = 1, B = - 1, C = - 3
Thus
[tex]\frac{9}{(x-1)(x+2)^2}[/tex] = [tex]\frac{1}{x-1}[/tex] - [tex]\frac{1}{x+2}[/tex] - [tex]\frac{3}{(x+2)^2}[/tex]
Desmond is 8 inches taller than Niki. If we let y represent Niki's height in inches, write an algebraic expression for Desmond's height.
Answer:
y+8 inches
Step-by-step explanation:
since it's eight inches taller we have to add 8 inches to niki's height
Today, Nate has 100 bananas. He will eat 2 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Answer:
No, Its not.
Step-by-step explanation:
Kindo forgot Why and How.. Sorry!!
9x - 6xy + 9 + 9xy - 6y
HELPP
Answer:
9x-6y+3xy+9
Step-by-step explanation:
firstly rearrange
9x-6y-6xy+9xy+9
then simplify those that can
-6xy + 9xy = +3xy
hence
9x-6y+3xy+9
935050 is divisible by which all numbers
Step-by-step explanation:
2, 5, 10
by 2 because it ends with a 0
by 5 because it ends with a 0
by 10 because it ends with a 0
if the sides of a triangle are produced in order prove that the sum ofexterior angles so formed is equal to four right angles
Step-by-step explanation:
Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.
By interior angle sum postulate of a triangle:
a + b + c = 180°... (1)
Therefore, by remote interior angle theorem:
x = b + c.... (2)
y = a + c..... (3)
z = a + b.... (4)
Adding equations (2), (3) & (4)
x + y + z = b + c + a + c + a + b
x + y + z = 2a + 2b + 2c
x + y + z = 2(a + b + c)... (5)
From equations (1) & (5)
[tex]x + y + z = 2 \times 180 \degree \\ x + y + z = 360 \degree \\ x + y + z = 4 \times 90\degree \\ x + y + z = 4 \: right \: angles[/tex]
Thus, the sum of exterior angles so formed is equal to four right angles.
Proved.
Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth.
Answer:
25/26 or 96.2%
Step-by-step explanation:
In the alphabets, we have 26 letters
If we remove Z, we have A -Y which is 25 alphabets
The question requires us to find the theoretical probability of choosing any other letter that is not Z
Probability= ratio of other alphabets that are not z to the number of letters in the alphabets.
Probability = 25/26 (as a fraction)
Probability = 0.9615 x 100 = 96.2% (as a percentage and to the nearest tenth)
BRAILYEST The area of a square poster is 37 in.2. Find the length of one side of the poster to the nearest tenth of an inch. The length of one side of the poster is nothing in.
Answer:
Length of the square poster = 6.1 in
Step-by-step explanation:
Area of a square poster = 37 in^2
Area of a square = length^2
37 = lenght ^2
Find the square root of both sides
√37 = √ length ^2
Length = 6.0828 in
Approximately
Length of the square poster = 6.1 in
4x - 2 (x -2) -9 +5x-8
Answer: Your answer is 7x-13.
There are 15 players on a soccer team, 3 girls and 12 boys. What is the ratio
of girls to boys on the soccer team?
Answer:
1:4
Step-by-step explanation:
No of girls :3
No. Of boys:12
Hence 3:12
1:4
Solve for x.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x + 4 < 9x + 8
Answer:
-5x is less than 4 or x is less than -0.8
Step-by-step explanation:
5/6w+21=-1/3(2w-9)
please help
Find the measure of the indicated angle
Answer:
[tex]m\angle A = 98[/tex]Step-by-step explanation:
Since it's a triangle all it's interior angles sum up to 180°
The triangle is isosceles which means two of it's angles are equal
From the question
[tex]m\angle B = m\angle C = 41 \degree[/tex]
So to find [tex]m \angle A[/tex] add up all the angles and equate it to 180° and solve for A
That's
[tex]m\angle A + m\angle B + m\angle \: C = 180 \\ m\angle A = 180 -m\angle B - m\angle \: C \\ m\angle A = 180 - 41 - 41 \\ = 180 - 82[/tex]
We have the final answer as
[tex]m\angle A = 98[/tex]
Hope this helps you
What quantity measures the amount of space and object occupies
Answer:
its volume
Step-by-step explanation:
Answer:
Volume is the unit that measures space of an object
Multiply the binomials (5x + 3) and (2x + 4).
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} + 26x + 12}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(5x + 3)(2x + 4)}[/tex]
Use distribute property to multiply each term of the first binomial by each term of the second binomial.
[tex] \dashrightarrow{ \sf{5x(2x + 4) + 3(2x + 4)}}[/tex]
[tex] \dashrightarrow{ \sf{10 {x}^{2} + 20x + 6x + 12}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{10 {x}^{2} + 26x + 12}}[/tex]
Hope I helped !
Best regards! :D
Eight times the sum of a number and 6 is 4
Answer:
80
Step-by-step explanation:
6+4=10
10x8=80
Hope this helped!!! Have a nice day and please mark me brainliest!!!
UwU
Step-by-step explanation:
8(n + 6) = 4
8n + 48 = 4
8n = 4 - 48
8n = -44
n = - 5.5
Which expression is equivalent to x ^2 – 8x + 16?
(x – 4) ^2
(x - 8)(x + 2)
(x + 4) ^2
(x – 4)(x + 4)
Answer:
Step-by-step explanation:
x^2 - 8x + 16 = (x - 4)^2
the first one
Three is added to a number, and the sum is multipled by 4. What is the equation and answer? Explain too please.
Answer:
3+X=[3+X]4
Step-by-step explanation:
Let the number be X
we add x by three = 3+x
the sum of 3+x is 3+x
so we multiply the whole sum by 4 which is [3+x]4
so the ans is 3+x=[3+x]4
GOODLUCK ;]
i need help please please :((
Answer: 9^-16
Step-by-step explanation:
If an exponents have the same base and are being multiplied together, all you do is just add the exponents and make the base stay the same
9[tex]9^{-53} * 9^{37} = 9^{-16}[/tex]
Negative exponents can be rewritten as positive exponents if you put them in the denominator.
[tex]x^{-a}=\frac{1}{x^a}[/tex]
Using this rule, we can rewrite the equation.
[tex]9^{-53}*9^{37}=\frac{1}{9^{53}}*9^{37}[/tex]
[tex]\frac{9^{37}}{9^{53}}[/tex]
Then, we can use exponent division rules.
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]\frac{9^{37}}{9^{53}}=9^{37-53}[/tex]
[tex]9^{-16}[/tex] or [tex]\frac{1}{9^{16}}[/tex]
Hope this helps.
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