Answers
Answer:
1: x = 19 y = 16 ; 2. x = 5 y = -4
Step-by-step explanation:
To check your work plug the numbers back into one of the equations and see if it's true.
For example:
10(19)-9(16)=46
46=46
1. I distributed 3 to all the numbers so that 9y and -9y would cancel then you add like terms.
2. I distributed -4 to all the numbers so that 4x and -4x would cancel. Then add all like terms.
Once you get x or y plug it back into one problem to get the other variable.
Hope this helps!
#1
10x-9y=46--(1)-2x+3y=10--(2)(2)×3
[tex]\\ \tt\hookrightarrow -6x+9y=30[/tex]--(3)
Subtracting eq(1) from (3)
[tex]\\ \tt\hookrightarrow -16x=-16[/tex]
[tex]\\ \tt\hookrightarrow x=1[/tex]
Put in eq(2)
[tex]\\ \tt\hookrightarrow -2+3y=10[/tex]
[tex]\\ \tt\hookrightarrow y=4[/tex]
#2
4x+3y=8--(1)x-2y=13--(2)(2) ×4
[tex]\\ \tt\hookrightarrow 4x-8y=52--(3[/tex]
Subtracting eq(1) from (3)
[tex]\\ \tt\hookrightarrow -11y=44[/tex]
[tex]\\ \tt\hookrightarrow y=-4[/tex]
Put in eq(2)
[tex]\\ \tt\hookrightarrow x+8=13[/tex]
[tex]\\ \tt\hookrightarrow x=5[/tex]
Related Questions
Badria, Khalid, and Yousif have a total of 95 in their wallets. Yousif has 5 less than Badria. Khalid has 3 times what Yousif has. How much do they have in their wallets?
Amount in Badria's wallet:
Amount in Khalid's wallet:
Amount in Yousif's wallet:
Answers
Answer:
Amount in Badria's wallet: 18
Amount in Khalid's wallet: 54
Amount in Yousif's wallet: 23
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form. 10 8 D 4 2 1 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 6 - 8 9 10 11 12 12
Answers
Answer:
y = -5x - 5
Step-by-step explanation:
y = -5x - 5
Slope intercept form is y = mx + b where m is the slope and b is the y intercept.
-5 is the y intercept and -5/1 or -5 is the slope/
3-45 so just do it -
What is the slope if the line?
Answers
HELP WITH PROOFS PLEASE
Answers
Answer:
I guess it's D since BC= 132: 12 = 11 or both of the two places divided by 12
(PLEASE HELP!) (IM GIVING GOOD POINTS!)
Jackson, Monica, and Franklin are siblings. Monica's age is 12 of Jackson's age, and Franklin's age is 23 of Jackson's age. The sum of all of their ages is 36.
Which equation represents the ages, based on Jackson's age, j?
36j+12j+23j=j36 j plus 1 half j plus 2 thirds j is equal to j
j+12j+23j=36j plus 1 half j plus 2 thirds j is equal to 36
12j+23j=361 half j plus 2 thirds j is equal to 36
j+2j+23j=36
Answers
Answer:
D. j + 12j + 23j = 36Step-by-step explanation:
Given:
Jackson's age is jMonica's age is 12 of Jackson's age ⇒ Monica = 12jFranklin's age is 23 of Jackson's age ⇒ Franklin = 23jSum of all three is 36, the equation is below:
j + 12j + 23j = 36Correct choice is D
Which set of ordered pairs does not represents a function?
Answers
Answer:
The first option.
Step-by-step explanation:
You cannot repeat the x value if it is a function. The x value of 2 is repeated in the first option.
Tell whether the ratios form a proportion. 24:30 and 3:7/2
Answers
Answer:
false
Step-by-step explanation:
Determine whether24:30 and 3:7/2 are equivalent therefore making it False
7(4g) + 3(5h) + 2(-3g); for g=1/2 ;.h =1/3
Helpppp
Answers
Answer:
16
Step-by-step explanation:
7(4g) + 3(5h) + 2(-3g); for g=1/2 ;.h =1/3
28g + 15h - 6g =
= 22g + 15h
= 22(1/2) + 15(1/3)
= 11 + 5
= 16
Explanation:
7(4•1/2)+3•(5•1/3)+2(-3•1/2) =
7•2+3•5/3+2(-3/2) =
14+5-3=
=16
Which equation is equivalent to 16x−8+2x=100?
Answers
Answer: X=6.
Step-by-step explanation:
16x-8+2x=100
18x-8=100
18x=100+8
18x=108
x=108/18
x=6
Answer:
14x-8
Step-by-step explanation:
another equation is 14x-8=100
combine like terms
seven more than the quotient of a number and 2 is 10
Answers
Answer:
7+X/2=10 answer is 6
Step-by-step explanation:
Carl drove 400 km of 1200 km trip. What percent of the trip did he complete?
Answers
We then want to simplify this fraction to find a percent
400/1200 = 4/12 = 1/3
This equates to approximately 33.3%
someone please help im actually desperate
Answers
Reason: We subtract 77 from both sides
The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3. 14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer as a decimal in the box. Cm³.
Answers
Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used as 3.14
Thus, we have the volume of container as:
[tex]V = \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times 3.14 \times 21 = 87.92 \: \rm cm^3{[/tex]
Thus,
The approximate volume of the specified container is 87.92 cm³
Learn more about volume of sphere here:
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Three friends decide to rent an apartment and split the cost evenly. They each paid $640 towards the total move in cost of first and last month's rent and a security deposit. If rent is $650 per month, how much was the security deposit? a. $10 b. $207 c. $620 d. $1,270 Please select the best answer from the choices provided A B C D.
Answers
Total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.
What is monthly payment?The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount or the rent of a service charged monthly.
The rent of the apartment is $650 per month. The rent of the two months (first and last) is,
[tex]M=2\times650\\M=1300[/tex]
This rent is paid by three friends. Thus, the amount which is paid by an individual friend is,
[tex]P=\dfrac{1300}{3}\\P=433.33[/tex]
They each paid $640 towards the total move in cost of first and last month's rent and a security deposit. Therefore,
[tex]P=640-433P=206.67[/tex]
Thus, $206.67 is paid by each of them towards security deposits. The total amount of security deposit, deposited by 3 of them, is,
[tex]SD=206.67\times3\\SD=620.01[/tex]
Hence, total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.
Learn more about the monthly payment here;
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I NEED THIS ANSWER ASAP!!!!
Answers
Solution:
We know the following rules:
Rule: If an exponent is negative, it will be in the fraction 1/nˣ.Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.Rule: if a number's exponent is 0, then the number is 1.Now, let's solve each problem.
Question-7
4³ = 4 x 4 x 4 = 644² = 4 x 4 = 164¹ = 44⁰ = 1Question-8
(-2)³ = (-2) x (-2) x -(2) = -8(-2)² = (-2) x (-2) = 4(-2)¹ = -2(-2)⁰ = 1Hoped this helped!
Answer:
7. 4⁴ = 4x4x4x4=256
4³= 4x4x4=64
4²= 4x416
4¹=4
4⁰=1 ( as every number that has power 0 = 1)
8. (-2)⁴
=(−2)*(−2)*(−2)*(−2)
=(-2)⁴
=16
(−2)³
=(−2)*(−2)*(−2)
=(−2)³
=−8
(−2)²
=(−2)*(−2)
=(−2)²
=4
(−2)¹
=−2
(−2)⁰
=1 ( ( as every number that has power 0 = 1)
The points F(4,
-2), G(9,
-6), H (8, -1), and I (5, 2) form a quadrilateral. Find the desired slopes and lengths, then fill in the words that BEST identifies the type of
quadrilateral.
(PHOTO BELOW)
Answers
Answer:
see below for slopes and lengths
scalene quadrilateral
Step-by-step explanation:
When calculations are repetitive, it is reasonable to let a spreadsheet do them.
FG: slope: -4/5, length: √41 ≈ 6.40
GH: slope: -5, length: √26 ≈ 5.10
HI: slope: -1, length: 3√2 ≈ 4.24
IF: slope: 4, length: √17 ≈ 4.12
All of the segments are different lengths, and none of them are parallel or perpendicular. The figure is a scalene quadrilateral.
__
As you know, the slope is calculated from ...
m = (y2 -y1)/(x2 -x1)
and the length is calculated from ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
_____
In the attached spreadsheet, the slope and length are calculated from the point below. That is, the values on the line for F are for segment FG.
Problem
Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2
Answers
Answer:
y = 3x - 10
Step-by-step explanation:
Find the magnitude of the vector (2,-5).
Write your answer in simplified radical form.
Answers
[tex] \rm \hookrightarrow \: \sqrt{ {2}^{2} + { - 5}^{2} } [/tex]
[tex] \rm \hookrightarrow \: \sqrt{4 \: \: \: \: + \sqrt{ 25 }}[/tex]
[tex] \rm \hookrightarrow \: \sqrt{29 }[/tex]
[tex] \rm \hookrightarrow \: 5.38 [/tex]
HELP THIS IS DUE SOON! PLEASE PROVIDE THE ANSWER ALONG WITH HOW YOU GOT THE ANSWER.
Torrance is buying presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his mother. If Torrance has $100 to spend, how much does he intend to spend on his brother?
Let x = the $ Torrance spends on his sister
Answers
Answer:
Torrance spends 16$ on his brother
Step-by-step explanation:
You have 100$
So, we have
x (brother) + x (sister) + x (mother) = 100
But, since 10$ less will be spent on the sister than the brother, it becomes (x - 10) and twice + 6$ is spent on the mom, it also becomes (2x + 6)
Our equation then becomes
(x - 10) + x + (2x + 6) = 100
X will end up equaling 26. This is how much is spent on the sister.
(x - 10) will be substituted for (26 - 10), which equals 16.
I'm not sure if this is right so you might want to check with somebody (since I may be wrong) I hope this helps you understand how to basically do it though. <3
find the circle and radius of circle at x^2 +y^2 +10x - 6y + 14=0
Answers
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given
x² + y² + 10x - 6y + 14 = 0 ( collect the x/ y terms together and subtract 14 from both sides )
x² + 10x + y² - 6y = - 14
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(5)x + 25 + y² + 2(- 3)y + 9 = - 14 + 25 + 9
(x + 5)² + (y - 3)² = 20 ← in standard form
with centre = (- 5, 3 ) and r = [tex]\sqrt{20}[/tex] = 2[tex]\sqrt{5}[/tex]
Please answer this (who ever answers correctly gets brainlest)
Answers
Answer:
5 and 1/3 yards = 16 ft
So 16 ft + 2 extra ft
The total is 18 ft (C.)
Can someone pleaseeee help me out with this??? I need it ASAP
Answers
Answer:
x=8/9 y=-2/3
Step-by-step explanation:
you can subtract 3x on the first equation and then plug the y into the 2nd equation to find x then solve for y
plssss help i need to have this problem done by today or else my dad will be mad at me.
Answers
Answer:
x is 24° it is bcs triangle have at all 180°
that bigger one have 180-94-41=45° on right side
180-111-45=24° ez
Could you help me with this maths question? Tysm
Answers
The correct answer is: " [tex]j^(^-^4^)[/tex] "; or; write as: " [tex]j^{-4}[/tex] ".
_______
Step-by-step explanation:
Given: " [tex]\frac{j}{j^4* j}[/tex] " ; assuming: " [tex]j\neq 0[/tex] " ;
_______
We are asked to express the correct answer (i.e. simplying the expression in a specific manner): "as a single term, without a denominator."
_______
As such, we can cancel out the "j" in the numerator, to "1" ; and cancel out the "j" in the denominator; to "1" ; since: " j ÷ j = 1 " ;
→ And we can rewrite the expression as:
" [tex]\frac{1}{j^{4}* 1 }[/tex] " ;
= " [tex]\frac{1}{j^4}[/tex] " ;
_______
Now, note the following property of exponents:
_______
" [tex]x[/tex]⁽⁻ⁿ⁾ = [tex]\frac{1}{x^n}[/tex] " ; {" [tex]x\neq 0[/tex] "} ;
_______
Likewise:
" [tex]\frac{1}{j^4}[/tex] ⇔ " [tex]j^(^-^4^)[/tex] " ; which is the correct answer:
→ " [tex]\frac{1}{j^4} = j^{-4}[/tex] " .
_______
Hope this is helpful to you!
_______
Hi! I will help you with a smile! :)
Recall the Properties of Exponents:[tex]\bold{a^{m} *a^n =a^{m+n}}[/tex]Now, let's use this property to solve our problem:[tex]\displaystyle\frac{j}{j^{4} *j}[/tex][tex]\displaystyle\frac{j}{j^{4+1} }[/tex][tex]\displaystyle\frac{j}{j^{5} }[/tex]Now, here comes the 2nd Property of Exponents:[tex]\displaystyle\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]Let's use this property to solve our problem:[tex]\displaystyle\frac{j}{j^{5} } =j^{1-5}[/tex]Think of j as j to the first power.Now, subtract the exponents:[tex]\bold{j^{-4}}[/tex]Answer:
[tex]\huge\boxed{j^{-4} }}\checkmark[/tex]
Hope it helps.
Please comment if you have any doubts.
Answered by
[tex]\fbox{PeacefulNature}[/tex]
[tex]\text{Enjoy Your Day, Evening, or Night!}[/tex]
What is the range?
-2 -4 -4 -2 3 5
Answers
Answer:
9
Step-by-step explanation:
you do the max- min. so 5-(-4) which is really 5+4=9
Answer:1. range(1,10,2) - 1 to 9 with a gap of 2 numbers each so it yields - 1,3,5,7,9 2. [-2,-4,-6,-8,-10] - range(-2,-11,-2) 3. (i) range(4,20)[2:5] - Generates the list of number…
example: 1.What sequence of numbers is equivalent to the given ranges?
range(1,10,2)
2.Express the following as a range.
[-2,-4,-6,-8,-10]
3.What do each of these expressions yield?
(1) range(4,20)[2:5] (2) list(range(10,60,4)[-2:1:-4] (3) range(3,12,4)[2]
(4) range(0,9,2)[:] (5) range(2,20)[-2:-10:-1] (6) range(3,18,2)[::2]
(7) range(1,33,6)[1::2] (8)range(-5,20,3)[-8:5:2]
To solve the equation 2x - 1 - 7 = 9,
first
DO
write each side with base 2
add 7 to each side
divide both sides by 2
Answers
2^x-1 = 2^4 Step-by-step explanation
To solve the equation [tex]2^{x-1} - 7 = 9[/tex], we add 7 to both sides make the bases the same, and equate the exponents.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An exponential expression
[tex]2^{x-1} - 7 = 9[/tex].
[tex]2^{x -1} = 9 + 7.[/tex]
[tex]2^{x-1} = 16.[/tex]
[tex]2^{x-1} = 2^4[/tex].
x - 1 = 4.
x = 5.
learn more about exponential functions here :
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The slope, m, of a linear equation can be found using the formula m = y^2 - y^1, where the x-axis and y-values come from two ordered pairs, and (x^1, y^1) and (x^2, y^2). What is the equivalent equation solver for y^2?
Answers
This is the formula needed
Find (f.g)(x) where f(x) = 3x + 1, g(x) = 2x + 7.
=
O (f•9)(x) = 6x2 + y 3x + 7
O (f.g)(x) = 6x2 + 7
O (fºg)(x) = 6x2 + 23x + 7
O(fºg)(x) = 5x + 8
Answers
Answer:
3rd option
Step-by-step explanation:
(f • g)(x)
= f(x) × g(x)
= (3x + 1)(2x + 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(2x + 7) + 1(2x + 7) ← distribute parenthesis
= 6x² + 21x + 2x + 7 ← collect like terms
= 6x² + 23x + 7
I need help with geometry pls
Answers
3) N is vertically opposite to the angle above => N equals the angles above
JK is parallel to ML
JN = NL
4) KJN and MLN have alternate angles => equal
5) JN = NL
angle JNK = angle LNM
angle KJN = angle MLN
3(x-2)
I don’t know how to do this
Answers
Answer:
3x - 6 should be it
3(x-2) ;expand the linear equation
=3x-6