Answer:
Gold weighs more
Step-by-step explanation:
The fact that they both equal 16 oz confirms the fact that gold weighs more. The reason for this is because even if the mass is the same the weight involves the gravitational pull on the earth meaning gold is greater.
1 pound of gold weighs more than 16 ounces of Soda.
We are told that;
Weight of soda = 16 Oz (ounces)
Weight of gold = 1 pound
Now, from conversions between pounds and ounces, 1 pound = 16 oz
Thus means that soda too also has a mass of 1 pound same as Gold.
However, despite the fact that they have the same mass, it doesn't mean they weigh the same because Gold has a gravitational pull which means force of gravity on it from the earth and it means it will weigh more.
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Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
use the greatest common factor and the distributive property to find the sum of 36 and 8. The Greatest common factor is 16
Answer:
44
Step-by-step explanation:
Greatest common factor is 4
36 = 4*9
8 = 4*2
36+8 = 4*9 + 4*2
= 4(9+2)
= 4(11)
= 44
Hope it helps ...
Please help me. Multiply. (x−5)(3x+6) Express the answer in standard form. Enter your answer in the box.
Answer:
3x² - 9x - 30
Step-by-step explanation:
We use FOIL to multiply (First, Outside, Inside, Last)
Step 1: F
3x²
Step 2: O
6x
Step 3: I
-15x
Step 4: L
-30
Step 5: Rewrite
3x² + 6x - 15x - 30
Step 6: Combine like terms
3x² - 9x - 30
Answer:
[tex]3x^2-9x-30[/tex]
Step-by-step explanation:
Use the FOIL method to solve:
First: [tex]x*3x=3x^2[/tex]
Outer: [tex]x*6=6x[/tex]
Inner: [tex]-5*3x=-15x[/tex]
Last: [tex]-5*6=-30[/tex]
Combining them all, we get:
[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]
Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5
Answer:
A. [tex] x = \frac{5}{p} [/tex]
Step-by-step explanation:
[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25What is the inequality of -3x-3<6
Answer:
x > -3
Step-by-step explanation:
-3x - 3 < 6
Add 3 to each side
-3x - 3+3 < 6+3
-3x < 9
Divide by -3 remembering to flip the inequality
-3x/-3 > 9/-3
x > -3
Same question need help asap!
Answer:
Nico's method is correct
Step-by-step explanation:
Lauren carelessly forgot to add the negative sign
[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]
Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns
Answer: Number of Cavities
The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
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At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor
(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis
(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis
To find where it will touch the axis set the factor equal to zero and solve .
(x + 2) = 0
Subtract 2 from both sides
x=-2
For the following questions answer independent, dependent, or both. a) This probability causes you to subtract one from the total on the second draw because you don't replace. b) This probability causes you to multiply the probability of the first event by the probability of the second event. c) This probability causes you to leave the total the same on the second draw because you replace.
Answer:
(a)Dependent
(b)Both
(c)Independent
Step-by-step explanation:
a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.
Dependent(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.
Both(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.
Independent15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
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The vertex of this parabola is at (4,-3). Which of the following could be its
equation?
A. x==3(y - 3)2 + 4
B. X=-3(+4)2-3
C. X=-3(-4) 2-3
D. X=-3(y + 3) - 4
Answer:
Option D.
Step-by-step explanation:
From the given graph it is clear that it is a parabola along to the x-axis.
Vertex form of a parabola along the x-axis is
[tex]x=a(y-k)^2+h[/tex]
where, (h,k) is vertex.
From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.
[tex]x=a(y-(-3))^2+(4)[/tex]
[tex]x=a(y+3)^2+4[/tex] ...(1)
The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.
[tex]1=a(-2+3)^2+4[/tex]
[tex]1-4=a(1)^2[/tex]
[tex]-3=a(1)^2[/tex]
Substitute a=-3 in equation (1).
[tex]x=-3(y+3)^2+4[/tex]
Therefore, the correct option is D.
Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2
Answer:
Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.
Step-by-step explanation:
As given in the graph,
Given function is a quadratic function, f(x) = (x + 2)(x + 6)
With x-intercepts of the function, x = -6 and -2
Graph below the x-axis represents the negative values of the function.
Graph above the x-axis represents the positive values of the function.
Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.
Which of the following postulates led to the discovery of non Euclidean geometry?
A. A straight line segment can be drawn between any two points.
B. Through a given point not on a given line, there is exactly one line
parallel to the given line.
C. All right angles are equal to one another.
D. Any straight line segment can be extended indefinitely.
The discovery of non-Euclidean geometry will be All right angles are equal to one another. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The discovery of non-Euclidean geometry will be
The straight line segment can be drawn between any two points.Through a given point not on a given line, there is exactly one line parallel to the given line.Any straight line segment can be extended indefinitely.Then the correct option is C.
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Video games sold: x
Revenue function: R(x) = 60x
Cost function: C(x) = 12 + 7x
Profit function: Px) =
Answer:
Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.
Step-by-step explanation:
In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x for the sale of x video games
As we know profit = sale price - cost price
Therefore P(x) = R(x) - C(x)
Or P(x) = (R-C)x = 60x - (12+7x)
P(x) = 60x -12 - 7x
P(x) = 53x -12
Now the profit on selling 20 video games will be
P(20) = 53×20 -12 = 1060 -12 = 1048.
Please help!!
Complete each table
Y=1/2x+3
What is the solution to the system of equations?
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,
[tex]y=\frac{1}{2}x+3[/tex]
x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)
Brainliest for whoever gets this right
Please help ASAP!!!
Answer :
x = 2
y = -1
I hope it helps
Which number line shows the solution set for |g+2| > 3?
Hey there! :)
Answer:
The 2nd choice.
Step-by-step explanation:
Begin by solving the inequality |g + 2| > 3. There is a negative and positive solution:
g + 2 > 3
g > 1
-(g + 2) > 3
-g - 2 > 3
-g > 5
g < -5
Therefore, the number-line showing solutions LESS THAN -5 and GREATER THAN 1 is the 2nd choice.
**Remember, for '<' and '>' signs without the EQUAL TO, the points are open circles.
Answer:
B)
Step-by-step explanation:
correct on edge test ✅
Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
The amount of energy it takes to lift a box might be a function of which of
the following?
O A. The time of day that you are lifting ít
B. The weight of the objects inside the box
C. The shape of the box
Answer:
The amount of energy it takes to lift a box might be a function of the weight of the objects inside the box. Work is proportional to force and distance. The force of the box is the weight itself of the box. Hence the answer to this problem is B.
Step-by-step explanation:
Question is the ScreenShot C:
A. 12
B. 13
C. 16
D. 18
Answer:
B. 13
Step-by-step explanation:
[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]
Answer:
B. 13 is the answerStep-by-step explanation:
First, use PEMDAS
Parenthesis, Exponents, multiplication, division, addition, subtraction
1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents
1/16*48 = 48/16 = 3 = Multiplication and Division
3+10 = 13 = Addition
This can conclude that 13 is the answer.
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
We can use ratios to solve
x x+10
------ = -----------
42 42+15
Using cross products
42(x+10) = x(42+15)
42x+420 = 57x
Subtract 42x from each side
420 = 15x
Divide by 15
420/15 = x
28 =x
share £12 in the ratio of 3:2:1
A student spends 17/35 of his pocket money on transport and fruits. He spends 5/6 of the remainder on sweets. What fraction of his pocket money does he spend on sweets?
Answer:
1/3
Step-by-step explanation:
please help with this
Answer:
1. 18x^11
2. 3n^7
3. x^9
4.-2s^9
5. 6v^14
6.-3p^6
7. 8b^10
can i get brainliest for this pls :)
Name the angle pairs that are vertical angles. Use paper and pencil. Describe an instance where you see vertical angles every day.
Answer:
Step-by-step explanation:
angle pair for vertical angles is called straight angle....
the joining between two pages of a book is a vertical angle....
the road itself is a vertical angle
There are 32 students in a class. They are taking either biology or chemistry or both. The
number of students taking biology is three times as many as the number of students
taking chemistry. If 4 students are taking both biology and chemistry, how many
students are in biology?
Answer:
27
Step-by-step explanation:
Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:
x - 4 + 3x - 4 + 4 = 32
4x - 4 = 32
4x = 36
x = 9
Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.
Answer:
27
Step-by-step explanation:
What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?
w = –StartFraction 34 Over 13 EndFraction
w = –2
w = StartFraction 6 Over 13 EndFraction
w = 26
Answer:
W=2.615
Step-by-step explanation:
9w-36-7w=15w-2
2w-36=15w-2
15w-2w=-36+2
13w=34
w=34/13
W=2.615
Please help me ASAP!!!
Answer:
E.
Step-by-step explanation:
There are 12 balloons in each package. Multiply this by the number of packages to get the number of balloons.
Answer:
E. 12p
Step-by-step explanation:
Multiply 12 by the number of packages to get the total number of ballons.
Ex.
If P is 7 :
12 x 7 = 84
84 ballons in total.