Answer:
k = -5
g = 6
Step-by-step explanation
1) First solve for k and plug that into the other equation to solve for g.
5g + 4k = 10
4k = -5g + 10
k = -5/4g + 2.5
2) Plug k into the other equation to solve for g
-3g - 5k = 7
-3g = 5k + 7
-3g = 5(-5/4g + 2.5) + 7 Use the distributive property
-3g = -6.25g + 12.5 + 7 Combine like terms and simplify
-3g = -6.25g + 19.5 Add 6.25g to both sides
3.25g = 19.5 Divide 3.25 from both sides to find g
g = 6
3) Now we take this g and plug it into the other equation to find k
(we could also just plug it into this equation as well)
5g + 4k = 10
5(6) + 4k = 10
30 + 4k = 10
4k = -20
k = -5.
If we really wanted to doube check this then we could plug the k value into the equation we used to find the g value...
-3(6) - 5(-5) = 7
-18 + 25 = 7
So yes, k = -5 and g = 6.
x2 + 8x + 4 = 0
please help
Solve the quadratic equation
Answer:
4
Step-by-step explanation:
Answer:
x= -2/5 or - 0.4
Step-by-step explanation:
Which statement about fractions equivalent to One-half is always true?
The numerator is twice the denominator.
The denominator is twice the numerator.
The denominator is equal to the numerator.
The numerator is equal to one less than the denominator.
Answer:
B. The denominator is twice the numerator.
Step-by-step explanation:
When translating the point (5,0) 6 units up and 4 units to the right, we should get:
Answer:
(9,6)
Step-by-step explanation:
"Up" indicates y-axis. "Right" is horizontal motion, so x-axis. We add positive 6 to the y-value and positive 4 (since it's going to the right) to the x-value.
Hope this helps!
A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]
Step-by-step explanation:
Let's assume the tree forms a right angle with the ground.
The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.
Let's draw a diagram. (not to scale)
We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.
x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.
[tex]tan(\theta)=opposite/adjacent[/tex]
The angle (θ) is 80. The opposite is x. The adjacent is 18.
[tex]tan(80)=x/18[/tex]
Now, solve for x by isolating it.
x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.
[tex]18*tan(80)=x/18*18[/tex]
[tex]18*tan(80)=x[/tex]
[tex]18*5.67128182=x[/tex]
[tex]102.0830728=x[/tex]
Round to the nearest tenth. The 8 in the hundredth place tells us to round up.
[tex]102.1\approx x[/tex]
The height of the tree is about 102.1 meters.
**diagram is not to scale
What is the quotient of -3/8 and -1/3?
Answer:
1[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
I used my calculators.
Which is true about the domains and ranges of the functions f(x) 1/8√x= and g(x) = 8√x?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answer:
A. They have the same domain and range.
Step-by-step explanation:
Edge 2021
Samir estimates the value of 3/5*16.1 which estimate is reasonable
Answer:
9.66
Step-by-step explanation:
Plz mark brainliest!!!
I want to do someone's IXL'S preferably math
Answer:
R u asking or u telling
Step-by-step explanation:
6x(2x+y-5) rewrite as a sum
Answer: 12x^2+6xy−30x
^=power sighn
Step-by-step explanation:
6x(2x+y−5)=(6x)(2x+y+−5)=(6x)(2x)+(6x)(y)+(6x)(−5)=12x^2+6xy−30x
Can somebody please help me bc im so lost its ridiculous
Answer:
1. A = 120
2. B = 98
3. C = 86
4. D = 176
Step-by-step explanation:
Answer:
1) 120° 2) 98° 3) 104° 4) 140°
Step-by-step explanation:
1) add the two angles together then set them equal to 180 then solve for x. Once x is found plug it in for ∠A
2) set the two angles equal to each other then solve for x. once x is found plug it in for ∠B
3) set the two angles equal to each other to find x. once x is found plug it in for ∠C
4) add the two angles together then set it equal to 180. solve for x. once x is fould plug it in for ∠D
Find the measure of the missing angles.
Answer:
153* for both
Step-by-step explanation:
This makes a circle, which is 360*. One angle is given, and it is 27*. If the angle on the opposite side is the same, the total degrees so far would be 54.
Say b and c were equal. Then, the remaining 306* would be split even among them. 306/2 is 153.
Therefore, 153* is the correct answer.
Hope I helped!!!
Find the slope and y-intercept. Also, determine if it is Proportional or Non Proportional
Answer:
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Two points lying on the graph are (1, 12) and (2, 24).
Slope of the line will be,
m = [tex]\frac{24-12}{2-1}[/tex]
Slope = 12
Since equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the line passing through (1, 12) and slope 12 will be,
y - 12 = 12(x - 1)
y = 12x - 12 + 12
y = 12x
By comparing this equation with the equation,
y = mx + b
where 'b' = y-intercept = 0
Since, y-intercept is zero, table will represent the proportional relation between x and y.
Proportional or non proportional → Proportional
rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio. She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.
What is Prema’s profit in 2009 and 2010?
Given :
Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio.
She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.
To Find :
What is Prema’s profit in 2009 and 2010.
Solution :
Price of one third ounces of gold, in 2005 is :
P = $414/3 = $138 .
Profit from selling them in 2009 is :
P1 = $(953 - 138) = $815 .
Profit from selling them in 2010 is :
P2 = $( 1367 - ( 414 - 138 ) ) = $1091 .
Therefore, Prema's profit in 2009 is $815 and 2010 is $1091.
Hence, this is the required solution.
752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answer:
188
Step-by-step explanation:
752 x 25% = 188
please help im confused
Answer:
B) t = l / pr
Step-by-step explanation:
l = prt
l / pt = t
Change from multiplication to division
=== Thanks ===
A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many hours can the driver travel before emptying a full 35 gallon gas tank?
Answer:
13.75 hours
Step-by-step explanation:
First, find how many km the driver can travel:
11(35)
= 385
Then, divide this by 28 to find how many hours the driver can travel:
385/28
= 13.75
So, the driver can travel 13.75 hours
f(x)5x + 4
Find f(6)
[tex]\sf{Hello!}[/tex]
[tex]f(x) = 5x + 4[/tex]
[tex]f(6) = ---- [/tex]
[tex]f(6) = 5(6) + 4[/tex]
[tex]f(6) = 30 + 4[/tex]
[tex]f(6) = 34[/tex]
Have a nice day!
Isaiah and his children went into a grocery store and he bought $10 worth of apples and bananas. Each apple costs $2.50 and each banana costs $0.50. He bought a total of 8 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Isaiah bought.
Answer:
x=3
y=5
Step-by-step explanation:
x+y=8
x=8-y
2.5(8-y)+0.5y=10.00
20-2.5y+0.5y=10.00
20-2y=10
-2y=-10
-y=5
y=5
Replace y with 5:
x+y=8
x+5=8
x=3
help help help help
Answer:
Option 1
Step-by-step explanation:
-4x+6y-5z=60
for x-int, solve for x when y=0, z=0
-4x+6(0)-5(0)=60
x=-15 (-15, 0,0)
for y-int, solve for y when x=0, z=0
y=10 (0, 10,0)
for z-int, solve for z when x=0, y=0
z=-12 (0, 0,-12)
6(x – 1) = 9(x + 2) what is the answer
Answer:
The answer is x = -8
If two lines are perpendicular to each other, do they lie in the same plane?
If AB undergoes a dilation of k=1/3 centered at (-3,2) then A’ will have the coordinates:
Answer:
(-3,2)
Step-by-step explanation:
It was correct on mine
The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).
Now,
The coordinate of A' after dilation of k = 1/3 is,
⇒ (1/3 × - 3, 1/3 × 2)
⇒ (- 1, 2/3)
⇒ (- 1, 0.67)
Learn more about the coordinate visit:
https://brainly.com/question/24394007
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Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 8% hydrochloric acid solution. Find the amount of 14% solution and the amount of 7% solution she should mix to get this solution
Let, amount of 14% solution required is x ounces.
So, amount of 8% solution will be ( 28 - x ) ounces.
Now, mathematical equation is :
[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]
Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.
Hence, this is the required solution.
Which number is equivalent to (1/3)^-4
A.12
B.81
C.1/12
D.1/81
Answer:
B
Step-by-step explanation:
(1/3)^-4
=1/[(1/3)^4]
=1/(1/81)
=81
What number is 7.5 more than 7.4?
Answer:
the answer is 14.9
solve the equation
7x^2+21=0
mZ1 = 6x and mZ3 = 120 Find the value of x when p is parallel to g.
Answer:
20
Step-by-step explanation:
m Z1=mZ3 = 120
120÷6=20
X=20
73 is what percent of 800
Answer:
0.09125%
Step-by-step explanation:
Divide 73 by 800 and you will get 0.09125
Answer:
It should be %9.75
Simplify the square root of 18
Answer:
18 has the square factor 9. 18 = 9 · 2. is now simplified.
So the Last one
Step-by-step explanation:
Increase 270 by 20%
Answer:
first find 20 percent of 270
270 times 20 divided by 100
5400 divided by 100
54
270 plus 54
324 is your final answer
-hope this helps!
Answer:
324
Step-by-step explanation:
10% of 270=27
27*2=54
20%=54
270+54=324