Answers
Given:
The system of equations is
[tex]5g+4k=10[/tex]
[tex]-3g-5k=7[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]5g+4k=10[/tex] ...(i)
[tex]-3g-5k=7[/tex] ..(ii)
Multiply (i) by 5 and (ii) by 4.
[tex]25g+20k=50[/tex] ...(iii)
[tex]-12g-20k=28[/tex] ..(iv)
Adding (iii) and (iv), we get
[tex]25g-12g=50+28[/tex]
[tex]13g=78[/tex]
Divide both sides by 13.
[tex]g=\dfrac{78}{13}[/tex]
[tex]g=6[/tex]
Put g=6 in (i).
[tex]5(6)+4k=10[/tex]
[tex]30+4k=10[/tex]
[tex]4k=10-30[/tex]
[tex]4k=-20[/tex]
Divide both sides by 4.
[tex]k=-5[/tex]
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
Related Questions
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?
Answers
Answer:
36
Step-by-step explanation:
Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12
The only number within the given range is 36
The number of students should be in the class should be considered as the 36.
Calculation of the number of students:Since
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
So here the total ratio should be like
= 5 + 7
= 12
So here the number of students should be divisible by 12
So, it should be 36
Learn more about ratio here: https://brainly.com/question/13111469
If f(x)= (2x +5)and g(x) = (2x2−5x+3), find f(x) · g(x) (please help)
A. 4x3 − 31x + 154x3 − 31x + 15
B.4x3 − 20x2 +19x + 154x3 − 20x2 +19x + 15
C.4x3 − 19x + 154x3 − 19x + 15
D.4x3 + 20x2 − 19x +15
Answers
Answer: 4x³-19x+15
Step-by-step explanation:
We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).
[tex](2x+5)(2x^2-5x+3)[/tex] [distribute by FOIL]
[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex] [combine like terms]
[tex]4x^3-19x+15[/tex]
Now we know [tex]4x^3-19x+15[/tex] is the correct answer.
Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3
children attend the same concert for $29. How much does it cost for each to attend?
Answers
Answer:
$5 per adult and $3 per kid
Step-by-step explanation:
5x10=50
3x3=9
50+9=59
4x5=20
3x3=9
20+9=29
[tex] - 20x - 5[/tex]
what does equal
[tex]x[/tex]
Answers
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
Answers
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
BBBBBBBVVVVVBBBBBBBBBBVV
Answers
Answer:
A. 8(4+2)
Step-by-step explanation:
have a nice day
What is the equation to a line with a slope of -3 and a y-intercept of 8?
Answers
Answer:
y=-3x+8
Step-by-step explanation:
y=mx+b
(m=slope and b=y-intercept)
Answer:
Step-by-step explanation:
let’s use this equation y = mx + b
where m = slope
and b = y intercept
since slope is -3, m = -3
and since y intercept is 8, b = 8
so the equation is
y = -3x +8
WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?
Answers
Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer
Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54
Answers
Answer:
The Answer is D 30:54
Step-by-step explanation:
5 times 6 is 30 and 6 times 9 is 54
transversals angles
Answers
Please answer these questions I will mark brainliest
Answers
2. A
3. A
i’m pretty sure for 1,2. 3 i’m a little iffy but i think it’s A bc “homogenizing”
Egghead Egghead Egghead
Answers
Answer:
the first one is an egghead, gordon ramsey is not an egg
Step-by-step explanation:
The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?
Answers
Answer:
A 33 degree change
Step-by-step explanation:
67-34=33
transversals angles
Answers
the answer of your question is angle 3
is this table a function? why or why not?
Answers
HELP ILL GIVE BRAINLIEST
Answers
Answer:
The bottom right table
Step-by-step explanation:
1. y = 5x + 2, (2,7)
Answers
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
7x=7y=−2x+5
Divide each term by
7
and simplify.
Tap for more steps...
x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
Tap for more steps...
x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
If you ask a question will the points given ne deducted from your points
Answers
Answer:
I think so yeah. not sure though
Answer:
I think I kinda get this question but can you be a little more...Specific?
Step-by-step explanation:
Explain when it is appropriate to use a benchmark percent in solving a problem.
Answers
Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
These benchmark values are sometimes used when estimating a solution involving percentages.
Real-World Example
If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.
10% of 36, done mentally, is 3.6.
Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:
Micah who is not yet 15 years old, is two years older than DeMonte.
How old is DeMonte?
x = the age of Micah
y = the age of DeMonte
Answers
Answer:
DeMonte is 12
Step-by-step explanation:
If Micah is not yet 15 than he is 14 so 14 - 2 is 12 since DeMonte is two years younger than Micah.
Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z?
A y=2.5x-23
B y=2.5x+23
C y=2.5x+3
D y=2.5x- 28.5
Answers
Answer:
C. y=2.5x+3
Step-by-step explanation:
1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1
Answers
Answer:
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1\
Step-by-step explanation:
Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?
Answers
Answer:
2y=8/3x
Step-by-step explanation:
Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).
Answers
Step-by-step explanation:
Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.
Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.
Hence the equation is y + 5 = -2/3 * (x - 4). (B)
What is the quotation (-3)^0/(-3)^2
Answers
Hey there!
(-3)^0 / (-3)^2
(-3)^0 = 1 ⬅️ Numerator
(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator
Answer: 1/9 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
what's b ? plz help
Answers
58 i think
58*2+64=180
NEED HELP ASAP PLEASE!
Answers
Answer:-2
Step-by-step explanation:
-y+2x=-1 needs to be changed to y=-2x-1 so that you can set the two equation equal to each other in order to solve for x. That makes it -2x-1=1/2x+4
-4= -4
-2x-5 = 1/2x
+2x = +2x
-5 = 2.5x
div. 2.5 div. 2.5
X= -2
Check: y= -2(-2)-1 Y=3
y=1/2(-2)+4 Y=3
PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
Answers
Answer:
f(-2) = 2
Step-by-step explanation:
Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.
So basically it wants the y-value :)
Answer:
1.25
Step-by-step explanation:
the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line
Use the number line to find
0+(
8
19
14
0
19
8
OI-2
21
8
Answers
Answer:
put it right in between the 0 and 0.5
Step-by-step explanation:
Answer:
- 19/8 hope you got it right
A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?
Answers
Answer:
4 kilometrs
Step-by-step explanation:
if you add the 2 to another 2 you get four
Answer:
4 kilometres
Hope this helped!