Answer:
(12, - 1 )
Step-by-step explanation:
Given the 2 equations
x + 4y = 8 → (1)
2x - 5y = 29 → (2)
Rearrange (1), expressing x in terms of y by subtracting 4y from both sides
x = 8 - 4y → (3)
Substitute x = 8 - 4y into (2)
2(8 - 4y) - 5y = 29 ← distribute and simplify left side
16 - 8y - 5y = 29
16 - 13y = 29 ( subtract 16 from both sides )
- 13y = 13 ( divide both sides by - 13 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 8 - 4(- 1) = 8 + 4 = 12
solution is (12, - 1 )
[tex]x = 8 - 4y \: \: eqn \: 1[/tex]
now in eqn 2
[tex]2(8 - 4y) - 5y = 29[/tex]
[tex]16 - 8y - 5y = 29[/tex]
[tex]16 - 13y = 29[/tex]
[tex]16 - 29 = 13y[/tex]
[tex]13 = 13y[/tex]
[tex] \frac{13}{13} = y[/tex]
[tex]y = 1[/tex]
Now in eqn 1
[tex]x = 8 - 4y[/tex]
[tex]x = 8 - 4 \times 1[/tex]
[tex]x = 8 - 4[/tex]
[tex]x = 4[/tex]
therefore x=4 & y=1 answer
are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10
For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90
Answer:
38
Step-by-step explanation:
128 + angle G= 180
angle G = 180-128= 52
m+ 52 = 90 ( complementary angles)
m= 90-52= 38
PLS NEED HELP DON'T UNDERSTAND ONE PART
Answer:
Step-by-step explanation:
Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees
Answer = 1800 degrees
Hope that helps!
Answer: .
Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.
A school has 300 students.If the ratio of boys to girls is 31 to 44, how many more girls are there in the school?
Answer:
there would be 52 more girls I think
Step-by-step explanation:
let x = multiplier then
31x =number of boys
44x = number of girls
Boys + girls = 300
44x + 31x =300
75x = 300
x = 300/75
x = 4 is the multiplier
therefore:
44*4 = 176 girls
31*4 = 124 boys
dif = 52 more girls than boys
hope this helped :)
Make t the subject of the formula.
Please help.
Answer:
[tex]t = \frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
[tex]q = \frac{2-4t}{t+3}\\\\[/tex]
Cross multiply,
q(t+3) = 2 - 4t
Use distributive property: a*(b + c) =(a*b) + (a*c)
qt + 3q = 2- 4t
qt + 4t + 3q = 2
qt + 4t = 2 - 3q
t(q + 4) = 2 -3q
[tex]t = \frac{2-3q}{q+4}[/tex]
55 x 32 / 32
HELPPP GIVING BRAINLIEST
Answer:
55
Step-by-step explanation:
Just multiply then divide:
55 x 32 = 1760
1760 ÷ 32 = 55
Or just easier like:
55 x 32 ÷ 32 = 55
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Find the side length of a square with
area 16/49 square inches.
The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]
Given the following data:
Area of a square = [tex]\frac{16}{49}[/tex] square inches.To determine the side length of this square:
In this exercise, you're required to solve for the length of the sides of a square that has an area of [tex]\frac{16}{49}[/tex] square inches.
Formula for the area of a square.Mathematically, the area of a square is calculated by using the formula;
[tex]A=S^2[/tex]
Where;
S is the length of each sides of a square.Substituting the value into the formula, we have;
[tex]\frac{16}{49}=S^2[/tex]
Taking the square root of both sides, we have;
[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]
Read more on area of a square here: https://brainly.com/question/16758129
'Five times a number minus eight is 17.5.
Answer:
5.1
Step-by-step explanation:
you need to work backwards.
so do 17.5 + 8 then divide by 5 to get 5.1
i hope this helps :)
What is the remainder when p(x) is divided by (x+1)
Step-by-step explanation:
WHEN A POLYNOMIAL P(X) IS DIVIDED BY (X+1), THEN THE REMAINDER WILL BE 3.Answer:
3
Step-by-step explanation:
What is the total area of the desk in square feet?
Answer:
64ft
Step-by-step explanation:
help asap
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
just multiply all the sides
Step-by-step explanation:
Answer:
i just need the point thank you
Step-by-step explanation:
graph the solution to this inequality on the number line. -4x+7>x-13
Answer:
the solution is x<4 (color green)
Step-by-step explanation:
hello :
draw the graph for the line : y= x-13 ( color bleu)
draw the graph for the line : y= -4x+7 ( color red)
the solution is x<4 (color green)
The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.
calculate the rate of change
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
Find the area of the image
Answer:
I think the answer is 4/3
Step-by-step explanation:
I just substitute
Area =length x width
Area=3X^2-4X(4X^2+5X)
12X^4+15X^3-16X^3-20X^2
12X^4-X^3-20X^2
X^2(12X^2-X-20)
i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported
Answer:
for volume you multiple l*w*h so 2)432 4)1,216
15.00 + 1.75x > 7.50 + 2.25
Answer:
Step-by-step explanation:
Gabriela walked to school on 16 of the 24 school days in March. Which value is equivalent to the fraction of the school days in March that Gabriela walked to school? If you do have the answer please put it in with the question so I can see it thank you so much
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.
The numerator is the number above. While the denominator is the number below
an example of a fraction = [tex]\frac{4}{5}[/tex]
4 is the numerator while 5 is the denominator
In this question, the numerator would be the number of times she walked to school in march(16). While the denominator would be the number of school days in March
[tex]\frac{16}{24}[/tex]
the above fraction is not in its simplest form. To express in its simplest form, divide both numerator and the denominator by 8 . this gives
[tex]\frac{2}{3}[/tex]
In the year 2007, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated by 9%. How much would the car be worth in the year 2010, to the nearest hundred dollars?
Answer:
17155
Step-by-step explanation:
23500-27%-17155
To the nearest hundred: 17200.
Solve: 6 divided by 1/6
Answer:
0.1 I think
Step-by-step explanation:
Please help me ASAP
Answer:
b
Step-by-step explanation:
Answer:
Option B.
Step-by-step explanation:
The perimeter of an equilateral triangle is 6x - 24. Which expression represents the length of one side?
Answer:
side = 2x - 8
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
The perimeter is 3 times one side
In this case P = 6x - 24
Side = p/3 = (6x - 24)/3
Side = 2x - 8
4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!
Answer:
x= 5
Step-by-step explanation:
You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.
Hiiiooo! Can someone please help out❤️❤️❤️❤️:D
Answer:
x = 14.6
Step-by-step explanation:
hopes this helps
find the value of a,b,y, and z
Answer:
^ACD= 90+60+x=180
^ACD=150+x=180
^ACD=x=30.
^DCB=60.
^CDB=90
I only need b par plz ฅ^•ﻌ•^ฅ
Find the 11th term of the geometric sequence 6, -18,54, ...
Answer:
354294
Step-by-step explanation:
a1 = 6, r = -3
an = a1 * r^n-1 (formula)
a11 = 6 * (-3)^11-1
a11 = 6 * 590949 = 354294
a11 = 354294
Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY
Answer:
451054547.5Since total sum of interior angles of a triangle is 180 Do the calculation you will get it
plz help me asap I need help 1k point
Answer:
y=27
Step-by-step explanation:
Hello There!
The shown angles are alternate exterior angles
Alternate exterior angles are congruent so
3y+53=7y-55
step 1 add 55 to each side
-55+55 cancels out
53+55=108
now we have
3y+108=7y
step 2 subtract 3y from each side
7y-3y=4y
now we have
4y=108
step 3 divide each side by 4
4/4y=y
108/4=27
we're left with y = 27
Answer:
y = 27
Step-by-step explanation:
The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.
7y - 55 = 3y + 53
4y = 108
y = 27
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 < 3a
b/6 ≤ 7
–4.5c > 9
–21/5 ≤ –5/2d
Please I need this answer right away!!!
Answer:
No, no, yes, yesStep-by-step explanation:
–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5
no as variable has positive coefficientb/6 ≤ 7 ⇒ b ≤ 42
no as variable has positive coefficient–4.5c > 9 ⇒ c < - 2
yes as variable has negative coefficient–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25
yes as variable has negative coefficient