Step-by-step explanation:
The given equations are :
-x+6y = 16 ...(1)
8x-6y = -2 ...(2)
The y-variable will be eliminated when adding the system of equations.
Adding equations (1) and (2).
-x+6y+8x-6y = 16+(-2)
7x = 14
x = 2
Put the value of x in equation (1).
-2+6y = 16
6y = 16+2
y = 3
There is only one solution to the system of equations i.e. (2,3).
Solve for X, Round to the nearest 10th of a degree if necessary 43 87
Answer:
x° ≈ 60.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x°
Adjacent Leg = 43
Hypotenuse = 87
Step 2: Solve for x
Substitute in variables [cosine]: cos(x°) = 43/87Inverse Trig: x° = cos⁻¹(43/87)Evaluate: x° = 60.3795Round: x° ≈ 60.4The manned is a powerful force in a free market and 3 to 4 cents and fling some of the factors that cause changes in demand and why it is important for consumer standards and the changes
Answer:
The description as per the given question is provided below.
Step-by-step explanation:
Demand reflects a shareholder's intent to attract consumers as well as works as a gauge of such a buyer's ability to collect a particular preference for a particular commodity.
The factors that change the demand are as follows:
User needs as well as requirements.Changes affecting associated commodity prices.Peoples' political revenues.The general economy's proportion of participants.y = 4x + 5 ; y = x - 4
Answer:
(- 3, - 7 )
Step-by-step explanation:
Given the 2 equations
y = 4x + 5 → (1)
y = x - 4 → (2)
Substitute y = 4x + 5 into (2)
4x + 5 = x - 4 ( subtract x from both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = x - 4 = - 3 - 4 = - 7
solution is (- 3, - 7 )
Solve the system by substitution.
- 2x – 10y = -2
-4y = x
Answer:
x = -4 and y = 1
Step-by-step explanation:
hope this helps please like and mark as brainliest
A square has the same area as a rectangle with side of length 9 cm and 16 cm .What is the length of one side of the square ?
Answer:
12cm
Step-by-step explanation:
Area of square = Area of rectangle
Area of square = length x breadth
Area of square = 9 x 16 = 144(cm)^2
(side)^2 = 144
side = √144
side = 12cm
12cm
Step-by-step explanation:
area of square=area of rectangle
s^2=L*W
area of rectangle=length * width
area of rectangle=9cm*16cm=144cm^2
s^2 =144cm^2
s=12 cm
It costs £420 for six tickets how much would 5 tickets be
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
This the answer
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
2x-3
Mary went to the shop and bought two patties for $190 each and three Orange juice for $375. If she pays her bill with two $500 notes, what amount does she receive in change?
Answer:
$55
Step-by-step explanation:
Spending
3*190 + 375 = 945
Change = cash paid - spending
500 * 2 - 945 = 55
$55
Where? The crime was committed on the day and at one of the locations below, but which one? It happened where ALL the answers are true. B 5 cm oi -2 cm. 5 cm 9 cm 5 cm 3 cm 15 cm A 8 cm С 17 cm 8 cm 10 cm 1 cm 0.6 cm 7 cm D -15 cm 2 cm Monday in the gym The surface area of A is 150 cm 2. The volume of C is 8.4 cm 3 The volume of D is 750 cm The surface area of A is 1,500 mm 3 Tuesday in the dining The volume of B is 540cm room 3 The volume of D is 1200 cm 2 The surface area of A is 0.015 m 3 The volume of B is 0.00054 m The volume of D is 600 cm3 Thursday on the playing fields Friday in the maths classroom The surface area of A is 0.15 m 3 The volume of Dis 0.0006 m The volume of A is 125,000 mm3 The Accusation Who Where & when
9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
__
The Accusation: Thursday on the playing fields.
Answer:
{C} Thursday on the playing fieldSet up an en equation and use it to solve for x
Answer:
x = 30
Step-by-step explanation:
The 2 angles lie on a straight line and sum to 180° , then
x - 3 + 153 = 180
x + 150 = 180 ( subtract 150 from both sides )
x = 30
Answer:
x = 30
Step-by-step explanation:
180° = total
153° = part
180° - 153° = 27°
Then use the equation to find the value of x
(x - 3) = 27
(x + 3) = +3 Add 3 to both sides!
x = 30
Which of the following expressions are equivalent to -45 +12?
Choose all answers that apply:
A 3(-15+4)
B
5(-50 + 12)
None of the above
3 (- 15 + 4) = -45 + 12
This is the answer
x ÷ 8.2 = 10. What is the value of x?
Answer:
82
Step-by-step explanation:
Answer:
82
Step-by-step explanation:
10 times 8.2 would be 82 so you just divide 82 by 10
When drawn in standard position, in which quadrant does the terminal side of the angle −240° lie?
Answer:
Option (2)
Step-by-step explanation:
All angles are positive when measured counterclockwise from the x-axis.
Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.
But the angle is -240°.
That means angle is being measured clockwise from the x-axis.
Therefore, terminal side of the of the angle will be in the 2nd quadrant.
Option (2) will be the correct option.
Which is another name for plane M?
What is the length of the line?
Answer:
Step-by-step explanation:
Pretend you see a right triangle here. From the lower end of the line go up 5 and you will be on the same horizontal as the upper end of the line. Go over 6 units and you close your triangle. This is a right triangle with legs 5 and 6 units long. We are looking for the hypotenuse of this triangle. Use Pythagorean's Theorem:
[tex]5^2+6^2=??^2[/tex]
25 + 36 = ??² and
61 = ??² so
?? = √61
Which definition best describes vertical angles?
O A. A pair of angles whose sum is 180°
B. A pair of angles that combine to form a straight angle
C. A pair of angles whose sum is 90°
D. A pair of opposite angles formed by intersecting lines
SUBM
39.341 × 0.72 = _____
Answer:
28.32552
Step-by-step explanation:
39.331×0.72=28.32552
An excursion group of four is to be drawn from among 5 boys and 6 girls.
Find :
a. the number of ways of choosing the excursion group if the group :
i. Is to be made up of an equal number of boys and girls.
ii. Is to be either all-boys or all-girls.
III. Has no restriction on its composition.
b. Whatis the probability that a random choice of numbers from the group will result in 3 boys and 1 girl.
Answer:
Because you are recounting people several times. Say for example, let us number those people
{1,2,3,4} for the four girls and {1,2…7} for the boys.
One possible combination by your way is to fix one boy and girl each, say
{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.
Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.
A correct way would be to choose girls and then choose 5− boys for 1≤≤4
So we get ∑4=1(4)(75−)=441
Answer:
We need group of 4 out of group of 5 + 6 = 11 people.
Part A
i)
2 boys and 2 girls:
5C2 * 6C2 = (5*4/2) * (6*5/2) = 150 waysii)
4 boys or 4 girls:
5C4 + 6C4 = 5 + 15 = 20 waysiii)
No restrictions:
11C4 = (11*10*9*8)/(4*3*2) = 330 waysPart B
Combination of 3 boys and 1 girl:
5C3*6C1 = (5*4/2)*6 = 60Total number of ways is 330 (found above)
Required probability:
P(3 boys and 1 girl) = 60/330 ≈ 0.1818 = 18.18%Can someone please answer these 2 questions
Answer:
part 1: $532.95. Part 2: 16
Step-by-step explanation:
Part 1: 15 * 15.35 = 230.25
30 * 10.09 = 302.70
230.25 + 302.70 = $532.95
Part 2: R = letters in the word desk
there are 4 letters in the word Desk
[tex]2^{R}[/tex] = [tex]2^{4}[/tex] = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
if you anserw corectly ill give you crown and more points
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Hope this helps!
Given d= 4t+1 can you determine the value of the y-
intercept?
HELP!! asap!
Please help me I really need help
771.05 m³ is tge answer brudah !!
a) Find csc ∅, given that cot ∅ = -7/2 and cos ∅ < 0
b) Find cot ∅, given that cos ∅ = 15/17 and ∅ is in Quadrant IV
Answer:
a) csc∅ = √53/2
b) cot ∅ = 15/√514
Step-by-step explanation:
a) The value of cot ∅ = -7/2
cos ∅ < 0
We note that cos(∅) is less than 0 in Quadrant II and III, and cot(∅) is less than 0 in the Quadrant II, therefore, we have;
∅ is in the Quadrant II
csc∅ = (√((-7)² + 2²))/2 =√53/2 ≈ 3.64
csc∅ = √53/2
b) cos∅ 15/17
∅ is in Quadrant IV
∴ cot ∅ = 15/(√(15² + 17²)) = 15/√514 ≈ 0.662
cot ∅ = 15/√514
There are 20 chocolates in a box.
Some of the chocolates contain nuts and the rest do not.
The probability that a chocolate containing nuts is picked at random from the
box is 0.6
How many of the chocolates in the box contain nuts?
Answer:
12 nutted chocolates
Step-by-step explanation:
0.6 is equal to 60% and 60% 0f 20 is 12.
The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (0, 1), has an inflection point at (1, 0), and goes through (2, negative 1).
Which equation represents g(x)?
g (x) = RootIndex 3 StartRoot x + 1 EndRoot
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
Transformation involves changing the form of a function.
The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]
Function f(x) is given as:
[tex]f(x) =\sqrt[3]{x}[/tex]
First f(x) is reflected across the x-axis.The rule of this transformation (i.e. reflection) is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f'(x) = -f(x)[/tex]
This gives
[tex]f'(x) =-\sqrt[3]{x}[/tex]
Next, f'(x) is translated 1 unit leftThe rule of this transformation (i.e. translation) is:
[tex](x,y) \to (x+1,y)[/tex]
So, we have:
[tex]g(x) = f'(x+1)[/tex]
This gives
[tex]g(x) =-\sqrt[3]{x+1}[/tex]
Hence, the equation that represents g(x) is (c)
Read more about transformation at:
https://brainly.com/question/12619643
Answer:
Its D
Step-by-step explanation:
just did the quiz
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A. sqrt2:1 O B. 1:1 Oc. C. 2:1 O D. 1:sqrt2
Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)
skins legendary skins 100 points epic skins 50 points rare skins 25 points uncommon skins 10 points common skins 5 points this is a game
legendary skins
epic skins
rare skins
uncommon skins
common skins
Answer:
so legendary is twice epic
epic is twice rare
rare is 2.5 uncommon
uncommon twice common
Nathan dove −4 feet into a pool. Jenny dove deeper into the same pool. Which could represent the depth that Jenny dove?
A −5 feet
B −3 feet
C 2 feet
D 6 feet
write one eighth as a decimal
Answer:
0.125
Step-by-step explanation
one eighth = 1/8
Divide the numerator by denominator and the answer is 0.125
When x = 1 and y = –2, z =
Answer:
No solution is possible from the information provided
Step-by-step explanation:
Please help us help you by including enough information to answer your question.
Answer:
z = -10
Step-by-step explanation:
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