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
Evaluate f(x)=x-5 when x=-5,x=0,and x=5
Answers
Answer:
f(x) = x - 5
f(-5) = -5 - 5
= -10
f(0) = 0 - 5
= -5
f(5) = 5 - 5
= 5
Hope this helps!
Samuel scored a 32.5/40 on his most recent math test what percent did he earn in the test round to the nearest whole percent
Answers
Answer: 81%
Step-by-step explanation:
From the question, we are informed that Samuel scored a 32.5/40 on his most recent math test.
Based on the values given, to convert it to percentage, we have to multiply the score by 100. This will be:
= 32.5/40 × 100
= 3250/40
= 81.25%
= 81% to nearest whole number
you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long?
Answers
Answer:
Concept: Mathematical Analysis
The full rotation of a pendulum is attached, plug in the values and solve.Rate brainlist.2 increased by 8 times a number is equal to 5. Write an equation or inequality.
Answers
good luck
hhhhh
Dantes Soccer Team Sells T-Shirts To raise money for new equipment. For Each T-shirt sold the team raises $8. Parents Also make a donation of $100 toward the equipment.
What is The equation That the total amount raised y , if x T-shirts are sold?
A. y= 8x
B. Y=12.5x
C. y= 100x + 12.5
D. y= 8x + 100
Answers
Answer:
It would be D
Step-by-step explanation:
3w-5>2w+-7 and 6(c+3) 2+-3
Answers
Answer:
w>−2 and 12c+33
Step-by-step explanation:
Answer:
&&&&
Step-by-step explanation:
Sorry, Don't know buddy
Sue juiced oranges from her orange trees. From the first two trees she collected 2/6 gallon of juice from each tree. The last tree yielded 2/3 gallon. After using some of the juice she collected for breakfast, Sue found that she only had 3/4 gallon of juice left. How much juice did she use for breakfast?
Answers
Answer:
Step-by-step explanation:
She collected 2/6 gallon of orange juice from two trees and 2/3 from the last tree. To add these two fractions, both must have common denominators.
Multiply both the numerator and denominator of 2/3 by 2. This results in 4/6.
Now you have 4/6 + 2/6 which equals 8/6. This can be converted to 1 and 2/6, further simplified to 1 and 1/3. Therefore, Sue collected a total of 1 and 1/3 gallons of orange juice.
Zach created a blueprint using only similar parallelograms. Which statement about the parallelograms must be true? A) The parallelograms all have congruent sides and angles. B) The parallelograms have corresponding angles that are not congruent. C) The parallelograms have proportional corresponding sides. D) The parallelograms have corresponding sides that are congruent.
Answers
Answer:
A) The parallelograms all have congruent sides and angles.
Step-by-step explanation:
Remember, a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.
In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.
Answer:
C
Step-by-step explanation:
I got it wrong because I listened to the other guy :\
Have a great day!
ALSO: PRESS PICTURE TO SEE PROOF, SORRY IT CAME OUT BLURRY, ONCE YOU PRESS IT, IT WILL BE NORMAL.
The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.
y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +
Answers
Answer:
B, C, E Is the answer on edge :3
Step-by-step explanation:
Have a good day :3
Answer:
B C E
Step-by-step explanation:
Katsuki Bakugou was here you Extras
In one game of basketball Henry scored 24 points.
How many points would Henry score if he played 3 games of
basketball?
Answers
Answer:
72
Step-by-step explanation:
24 x 3 = 72 just like the problem.
Solve the equation for y
- 5x + 2y = 1
Answers
Answer:
14x+37=4x
Step-by-step explanation:
what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters
Answers
Answer:
We conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmStep-by-step explanation:
Given
The length of one of the side or edge of a regular octahedron = a = 4 cm
To determine
The volume of a regular octahedron = V
Using the formula to determine the volume of a regular octahedron
[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]
substituting a = 4 in the volume equation
[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]
[tex]V=\frac{64\sqrt{2}}{3}[/tex] ∵ 4³ = 64
[tex]\:\:V\:\approx \:30.17[/tex] cm
Therefore, we conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmIf log 2 = x and log 3 = y, write each logarithm in terms of x and y.
a) log 18
b) log 9
Answers
Step-by-step explanation:
log18 = log2 + log3 + log3 = x + 2y.
log9 = log3 + log3 = 2y.
Find the value of
[tex] log_{8}^{512} [/tex]
please help friends....
Answers
Answer:
3
Step-by-step explanation:
log 8 512 = 8^ x=512. x=3
Hope this helps :D
Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Planet X?
Answers
Answer:
1/2= 5/10
5/10 - 3/10 = 2/10 or 1/5
so planet X is 1/5 of a light-year closer
Step-by-step explanation:
Answer:
5/10
Step-by-step explanation:
Simplified
Mary used one big bag of flour. She baked four loaves of bread. Then, she used the remaining flour to make 48 muffins. How much flour was in the bag when Mary began? Plz help!!!! I have 20 minutes left
Answers
Answer is 11.
Step-by-step explanation:
Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2
Maria makes the remaing 48 muffins of the flour left so,
One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2
Add both of them
9/2+13/2=11
My remainder is 8. My dividend is 80. I am a 1- digit number. What divisor am I?
Answers
Answer:
9 is the answer..
Step-by-step explanation:
pls mark me the brainliest
Answer:
The divisor is 9.
Step-by-step explanation:
a) Data and Calculations:
Remainder = 8
Dividend = 80
Number divided evenly without remainder 8 = 80 - 8 = 72
72/9 = 8
b)There are four main numbers under the divisional mathematical rule. The first number is the dividend which is the number 80 that is being divided by the divisor. The divisor (9) is the number that divides 80. The quotient (8) is the result obtained by the division, while the remainder 8 is the number left over after the division.
fing the sum of the interior angle measures of the polygon
Answers
(6-2)x180
= 720
Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)
Answers
Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope.
The slope of the given line, y = 3x - 2 is 3.
The equation we are looking for is of the form
y = mx + b
Since we know the slope, m, is 3, we have
y = 3x + b
To find the value of b, we substitute x and y with the values from the given point and solve for b.
-2 = 3(5) + b
b = -17
The equation is
y = 3x - 17
PLEASE HELP AND SHOW WORK
Answers
you write 2x-6=82, subtract 6 on both sides so ur left with 2x=88, you divide both sides by 2 and you get 44
The points in the table lie on a line. Find the slope of the line.
Answers
Answer:
-7/6
explanation
if the points correlating to the (x,y) functions are plotted out on a graph, using the rise-over-run method will result in finding a slope of -7/6
33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))
Answers
Given:
[tex]d(t)=80t[/tex]
[tex]C(d)=0.09d[/tex]
To find:
The value of [tex]C(d(10))[/tex].
Solution:
We have,
[tex]C(d(10))=C(80(10))[/tex] [tex][\because d(t)=80t][/tex]
[tex]C(d(10))=C(800)[/tex]
Now,
[tex]C(d(10))=0.09(800)[/tex] [tex][\because C(d)=0.09d][/tex]
[tex]C(d(10))=72[/tex]
Therefore, the value of [tex]C(d(10))[/tex] is 72.
Choose a number that is a factor of 900. 25, 27, 31, 32, 44, 45
Answers
Answer:
25 is a factor of 900
Step-by-step explanation:
900/25= 36
Factor is the number, which is dividing by the number without remainder.
For example for 6, factors are 1,2,3,6
In this case, we have to find the number, that you can divide by, and don’t get a remainder.
900:25= 36
900:27= 33,333..
900:31= 29,03..
900:32= 28,125
900:44= 20,4545..
900:45=20
from this we can see that 25 and 45 are the factors of 900 in this exercise. You also could understand that, because 25 and 45 are ending with 5.
Hope it helps! Please give the brainliest:):)
this is for the brainlist winner
Answers
I CANT FIGURE THIS OUT!! WHATS 1+1! I WILL GIVE BRAINLIEST IF U KNOW THIS
Answers
A
Solve the triangle.
19.3
b
45°
105
B
a
Answers
Equivalent fractions of 23,479 to 782
Answers
Answer:
93912/391
Step-by-step explanation:
i think its 93912/391
can i have brainiest plssss
find the value of the expression n+2×m
for m=6 and n =4
Answers
Answer:n=4
m=6
Step-by-step explanation:
(solve for bracket first the add)
4+2×6
4+12
16
100 Points!!!
y(t) = distance of weight from equilibrium position
ω= angular frequency (measured in radians per second)
A = amplitude
Ø= phase (depends on initial conditions)
c1 = A sin
c2 = A cos
Prove that: Asin(ωt+Ø)=c2sinωt+c1cosωt
Note: c1 and c2 are actually with the number slightly below the letter, if that makes sense. It wouldn't let me type it that way. Anyway, if anyone can help I would really appreciate it! Thank you!
Answers
Answer:
An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as
x(t) = x0 + A cos(ωt + φ).
The object oscillates about the equilibrium position x0. If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by
x(t) = A cos(ωt + φ).
A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
The velocity of the object as a function of time is given by
v(t) = dx(t)/dt = -ω A sin(ωt + φ),
and the acceleration is given by
a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.
True or false
In order to
calculate interest, it is
the Principal times the
Rate minus any
Overdraft Fees.
Answers
Answer:
true
Step-by-step explanation:
Hope this helps. :)