Answer:
Step-by-step explanation:
x = -y + 10
Substitute into the second equation
-y + 10 = y + 4
-2y = -6
y = 3
Plug into first or second equation.
x = -3 + 10 = 7
x = 3 + 4 = 7
So the ordered pair is (7,3)
The value of x in the expression
2x/3 - 7 = 5 is
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
A 8.33% tax is added to a $120 grocery bill.
A. Amount of tax: $9.99
B. Total paid: $127.99
What will be the sign of the product if we multiply together.
(a) 8 negative integers and 3 positive integers?
(b) 5 negavtives integers and 4 positive integers?
(c) (-1) twelve times?
(d) (-1), 2m times, m is a natural number?
Answer:
(a)positive
(b)negative
(c)positive
(d)positive
Divide 1 hour in the ratio 1 : 9 : 10
3 minutes; 27 minutes; 30 minutes
0.05 minutes; 0.45 minutes; 0.5 minutes
30 minutes; 27 minutes; 3 minutes
Answer:
3 minutes; 27 minutes; 30 minutes
Step-by-step explanation:
Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.
Therefore,
[tex]x + 9x + 10x = 1 \: hour \\ \\ 20x = 60 \: minutes \\ \\ x = \frac{60 \: minutes}{3} \\ \\ x = 3 \: minutes \\ \\ 9x = 9 \times 3 = 27 \: minutes \\ \\ 10x = 10 \times 3 = 30 \: minutes[/tex]
Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:
3 minutes; 27 minutes; 30 minutes
what is 2/5 x 6/7 as a fraction.
Answer:
12/35
please give me brainliest!
The product of the fractions is 12/35, or 2/5 x 6/7 as a fraction is equal to 12/35.
Given that we need to convert 2/5 x 6/7 in a fraction.
To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. In this case, you have:
(2/5) x (6/7)
Multiplying the numerators gives you 2 x 6 = 12, and multiplying the denominators gives you 5 x 7 = 35.
So, the product of the two fractions is: 12/35
Therefore, 2/5 x 6/7 simplifies to 12/35 as a fraction.
Learn more about Multiplication click;
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In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____.
Answer:
100°
Step-by-step explanation:
Anders Celsius used centigrade temperature scale along with mercury thermometers with a fixed boiling point of water at zero, he also used a fixed freezing point of water at the mark of 100-degree. This new scale was described in the year 1742 to Swedish Academy of Sciences.
Answer:
100 percent
Step-by-step explanation:
edge 2021
3(3y - 10) = 6 I need the answer please
Answer:
If you wanted to simplify the equation:
9y - 30 = 6
If you wanted to solve for y:
y = 4
Step-by-step explanation:
3(3y - 10) = 6
9y - 30 = 6
Add 30 to both sides of the equation:
9y - 30 + 30 = 6 + 30
Simplify:
9y = 6 + 30
9y = 36
Divide both sides of the equation by 9:
9y ÷ 9 = 36 ÷ 9
Cancel terms that are in both the numerator and denominator:
y = 36 ÷ 9
y = 4
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14?
Answer:
y = -2 -5
Step-by-step explanation:
x - 2y = 14
-2y = -x + 14
y = 1/2x - 7
-3 = -2 (-1) + b
-3 = 2 + b
-5 = b
y = -2 -5
A rectangular field is built next to a house and is enclosed by 400 m of fencing for the 3 remaining sides. Determine the dimensions of the field to maximize the area to nearest tenth of a metre.
Answer:
The dimensions of the field to maximise the area are 100 metres (width) and 200 metres (height).
Step-by-step explanation:
The formulas for the area ([tex]A[/tex]), measured in square metres, and the perimeter ([tex]p[/tex]), measured in metres, of the rectangle are, respectively:
[tex]A = x\cdot y[/tex] (1)
[tex]p = 2\cdot x +y[/tex] (2)
Where:
[tex]x[/tex] - Width, measured in metres.
[tex]y[/tex] - Height, measured in metres.
Note: We assume that height of the rectangle is parallel to the wall of the house.
By (2):
[tex]y = p - 2\cdot x[/tex]
In (1):
[tex]A = x\cdot (p-2\cdot x)[/tex]
[tex]A = p\cdot x - 2\cdot x^{2}[/tex] (3)
Then, we obtain its first and second derivatives by Differential Calculus:
[tex]A' = p - 4\cdot x[/tex] (4)
[tex]A'' = -4[/tex] (5)
By equalising (4) to zero, we find the following critical value for [tex]x[/tex]:
[tex]x = \frac{p}{4}[/tex]
And besides the Second Derivative Test, this solution is associated to an absolute maximum. Given that [tex]p = 400\,m[/tex], then the maximum area enclosed by fencing is:
[tex]x = 100\,m[/tex]
[tex]A = 20000\,m^{2}[/tex]
And the height of the triangle is:
[tex]y = 200\,m[/tex]
The dimensions of the field to maximise the area are 100 metres (width) and 200 metres (height).
what is the image of the point (2,-3) after a rotation of 180 degrees counterclockwise about the origin ?
Answer:
is is on the x acsess 2 and go down to -3. Hope this helped!
Step-by-step explanation:
Go to the x acsessw and go to 2 go down to -3 and mark
ILL GIVE YOU BRAINLIEST AND ALL MY POINTS PLS HELP MEEE Tysm Algebra
Answer:
I think it is the second one haha loll
Is a triangle with two 45 degree angles unique
Answer:
No. It's just a 90° angle.
Step-by-step explanation:
when adding a Positive, on the number line you move left or right?
Answer:
by adding. positive, you move towards right.
Answer:
Right
Step-by-step explanation:
when looking at a number line, you will see 0, and you will notice all numbers go from 0 to the right in an increasing manner, so it would be 0, then 1, then 2, then 3....
its the other way for negative numbers tho, so (from a line of negative numbers) -3, then -2, then -1, then 0
a good way to remember is to imagine a race, you want to gain progress and go further away from the start (0) so the RIGHT way to go would be UP the number line and INCREASE your progress
Is 7 asolution for the equation 2x + 12=3x +(-2x + 5)
Answer:
No
Step-by-step explanation:
2X + 12=13x - 2x + 5
2X + 12= 11x+5
2x-11x = 5-12
-9x = -7
X = 7/9
so the answer is NO
find area of circle
Answer: 75 ft^2
Step-by-step explanation:
Radius is half of the diameter. Diameter is given as 10.
3 (5)^2
3 x 25 = 75 ft^2
i need hell with this pleasee
Find the distance between the two points rounding to the nearest tenth (if ne
(-7, -7) and (1, -3)
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30
Answer:
C
Step-by-step explanation:
Need an explanation pls
If the perimeter of a rectangle garden with a width of 15 is 125, what is the perimeter of the daily record it if the scale factor is 60%
Answer:
(here i assume that the daily record is another rectangle)
For a rectangle with width W and length L, the perimeter is:
P = 2*W + 2*L
in this case we know that:
P = 125
W = 15
Replacing these in the perimeter equation we get:
125 = 2*15 + 2*L
125 = 30 + 2*L
125 - 30 = 2*L
95 = 2*L
95/2 = L = 47.5
Now we know that the daily record has a scale factor of 60%.
This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.
Then if the width of the daily record is W' and the length of the daily record is L'
This means that:
L' = (60%/100%)*L = 0.6*L = 0.6*47.5
W' = (60%/100%)*W = 0.6*W = 0.6*15
Then the perimeter is:
P' = 2*0.6*47.5 + 2*0.6*15 = 75
(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)
What angles are adjacent ?
Answer:
Angle number 5 is adjacent to angle psl
one angle of a triangle measures 35°. A second angle measures (3x)°, and the third angle measures 2x - 20)°. what is the value of x?
Answer:
x = 33
Step-by-step explanation:
Sum of the angles in a triangle is 180 so,
35 + 3x + 2x - 20 = 180
35 + 5x - 20 = 180
15 + 5x = 180
5x = 180 - 15
x = 165/5
x = 33
How would the graph of f(x) = −3(x + 2)^2 − 5 be affected if the function was changed to f(x) = 1/2(x − 2)^2 − 5? Select ALL that apply.
1) It would change from opening up to opening down.
2) It would change from opening down to opening up.
3) It would shift four units to the right.
4) It would shift four units to the left.
5) It would shift four units up.
6) It would shift four units down.
7) It would become wider.
8) It would become narrower.
Answer:
This will be your answer. I hope this helps, good luck! :)
pls pls help i will give brainliest
Answer:
give me a brainliest now
Step-by-step explanation:
PLEASE HELP!! Find the value of x.
Can I have some help please?
See diagram below.
===========================================================
Explanation:
The highest point on f(x) is the vertex point since the leading coefficient is negative. The vertex is located at (h,k)
For the general parabola y = ax^2 + bx + c, we can define h to be
h = -b/(2a)
In this case, we plug in a = -2 and b = 8 to find h to be...
h = -b/(2a)
h = -8/(2*(-2))
h = -8/(-4)
h = 2
Then the value of k is equal to f(h). So we plug x = 2 into the f(x) function to get
f(x) = -2x^2 + 8x - 1
f(2) = -2(2)^2 + 8(2) - 1
f(2) = -2(4) + 8(2) - 1
f(2) = -8 + 16 - 1
f(2) = 8 - 1
f(2) = 7
This means k = 7
So the vertex for f(x) is at (h,k) = (2,7)
The max value of f(x) is f(x) = 7 which is the same as y = 7.
The graph shows the highest point is at (0,10). The highest point of g(x) is when y = 10. So this is the largest g(x) can get. We only are concerned with output values when we want to maximize whatever the function is.
Therefore, g(x) produces the larger maximum value compared to f(x).
We can see that if we were to graph both f(x) and g(x) together. The g(x) curve peaks higher compared to f(x).
The diagram is shown below. I used GeoGebra to make the graph, though you could use Desmos or a TI calculator (or similar) if you want.
If 3x + y +4- (y + 6) = 14 + x, what is the value of x?
2
3
6
8
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Answer:
13.8 ounces of salt
Step-by-step explanation:
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Step 1
Note that:
1 shaker = 0.6 ounces of salt
8 shakers = x
Cross Multiply
x = 8 × 0.6 ounces of salt
x = 4.8 ounces of salt
Step 2
The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
This is calculated as:
18.6 ounces of salt - 4.8 ounces of salt
= 13.8 ounces of salt
An albatross is 5 meters above the surface of the ocean. How does its distance from the surface compare to the vertical distance from the eyes of: The jumping dolphin? The flying seagull? The octopus?
Answer:
The jumping dolphin -- changes
The flying seagull -- same
The octopus -- same
Step-by-step explanation:
The distance of the Albatross from the sea surface when compared to the vertical distance from the eyes of the :
The jumping dolphin :
As the dolphin jumps out from the sea, the vertical distance of the albatross from the surface seems to be decreasing and then increasing as seen by the jumping dolphin.
The flying seagull :
The distance of the albatross is at the same height as seen by the seagull since it is flying at the same level, i.e. at the level of the sea surface
The octopus :
The octopus remains at the same depth below the water surface. So the distance of the albatross for the octopus remains the same at 5 m above the ocean surface.
I need help with this someone please