Step-by-step explanation:
data
let the unknown numbers = x and y respectively
y is 3 × greater than x so, y = 3x
x+y/ 2 = 10
solution:
x + 3x= 10
4x=10
divide both sides by 4
x=4/10 or 2 1/2find the area of shaded region from the following figures
Answer:
392?
Step-by-step explanation:
Write 119,000,003 in two other forms
Answer:
119000000+3
0.119000003*10^9
Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integer x and for every integer y, if x is odd and y is odd then x y is even. (c) For every integer x, if x is odd then x 3 is odd.
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
Circle the fraction equal to 0.1%
the cost for a company to produce a part for d days is represented by the function f(d)=275d+12,950 what does the value 12,950 represent in this situation?
A.) Each day the total cost increases by $12,950
B.) The initial cost is $12,950
C.) Each day the total cost decreases by $12,950
D.) The total cost to produce a part for d days is $12,950
Answer:
B.) The initial cost is $12,950
Step-by-step explanation:
Given that:
[tex]f(d)=275d+12,950[/tex]
is the function to represent the cost for a company for the production of a part for [tex]d[/tex] number of days.
To find:
What does the value 12,950 represent in the above cost function.
Solution:
The given function contains two parts:
1. One part is multiple of [tex]d[/tex] and
2. Second part is a constant.
Here, [tex]d[/tex] is the number of days.
As [tex]d[/tex] changes, the value also changes but the constant part remains the same.
Therefore, we can conclude that the initial cost for the company is $12,950.
The answer is:
B.) The initial cost is $12,950
Answer: the initial cost is $12,950
Step-by-step explanation:
I took the test
Wat es 9+8 am grad to
Answer:
17 tkrnfuebdkrheejshdhfd
A box of national brand cornflakes is $2.09 for 12 ounces. A box of store label cornflakes is $3.09 for 20 ounces. Assuming both brands taste equally good, which is the better buy? Justify your answer. Can someone help me?!?!
Answer: Store label cornflakes
Step-by-step explanation:
A dollar for 8 more oz of cornflakes than the national brand is a deal.
Plz help me I can’t do this math
Answer:
A. 21/40
B. 8/12 or 2/3
Step-by-step explanation:
9. Deanne works in a shoe factory. She packs
pairs of tennis shoes and pairs of boots in
boxes to ship to shoe stores. The tennis shoes
weigh 2 pounds and boots weigh 5 pounds.
Each box can weigh a total of 50 pounds.
( explanations are mucho appreciated:) )
a. Assuming x represents the number of pairs
of tennis shoes and y represents the
number of pairs of boots, write an equation
to represent the situation.
b. What is the x-intercept, and what does it
represent?
c. What is the y-intercept, and what does it
represent?
Answer:
a. 2x+5y=50
b. (25,0), the number of tennis shoes needed to weigh 50 pounds.
c.(0,10), the number of boots needed to weigh 50 pounds.
Step-by-step explanation:
a. Weight times number is what we are looking for to add up to the total weight of the shoes
b. set to y to 0
c. set x to 0
h = 4x and x= 3t write h in terms of t
Answer:
h = 12t
Step-by-step explanation:
Its given that x = 3t.
Also its given that h = 4x
Substituting the value of x gives =
h = 4(3t) = 4 × 3t = 12t
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:
y=-4x=5
Step-by-step explanation:
i did it on a test
Find the Mistake
6 - 4(3 - 6x) + 12x
2(3 - 6x) + 12x
6 - 12x + 12x
6
Answer:
Order of operations was not used correctly, Do what is inside the parenthesis first. So use the distributive property first and not subtraction.
Step-by-step explanation:
6-4(3-6x)+12x
6-12+24x+12x-6+24x+12x-6+36x or 36x-6Find x & y so that quadrilateral is a parallelogram. (Look at image)
Answer:
x = 20° and y = 12°
Step-by-step explanation:
3y + 15° = 5y - 9° ( being opposite angles of parallelogram)
5y - 3y = 15° + 9°
2y = 24°
y = 24° / 2
y = 12°
Now
5x + 29° = 7x - 11° ( being opposite angles of parallelogram)
7x - 5x = 29° + 11°
2x = 40°
x = 40° / 2
x = 20°
Hope it will help :)❤
Factor 24j-1624j−1624, j, minus, 16 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
8(3j-2)8(3j−2)8, left parenthesis, 3, j, minus, 2, right parenthesis
(Choice B)
B
6(4j-2j)6(4j−2j)6, left parenthesis, 4, j, minus, 2, j, right parenthesis
(Choice C, Checked)
C
4(6j-4)4(6j−4)4, left parenthesis, 6, j, minus, 4, right parenthesis
(Choice D)
D
2(12-8)2(12−8)
Answer:
A and C
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
9 Which law would you use to simplify the expression (x4) ? O product of powers power of a product power of a quotient power of a power
You would use d) power of a power because:
(Answer:
Which law would you use to simplify the expression (x^4)^9 ?
A)product of powers
B)power of a product
C)power of a quotient
D)power of a power
Step-by-step explanation:
x^4)^9
= (x^(4*(9))
= x^36
hope this helps
The law used to simplify the given expression (x⁴)⁹ is D) Power of a power law.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given expression is (x⁴)⁹.
Power of a power rule is the rule of the exponents which states that if a number in the base is raised to some power, which is again raised to another power, then both the powers will get multiplied leaving the base as same.
We can use this rule here, since the base x is raised to 4, which is again raised to 9.
Using the rule,
(x⁴)⁹ = (x)⁽⁴⁾⁽⁹⁾ = x³⁶
Hence the rule used is power of a power rule.
Learn more about Exponents here :
https://brainly.com/question/29473829
#SPJ7
Your question is incomplete. The complete question is as given below.
Which law would you use to simplify the expression (x⁴)⁹ ?
A)product of powers
B)power of a product
C)power of a quotient
D)power of a power
is 3:2 and 10:5 equvalent?
Katrina and her family received 147 pieces of chocolate packed in boxes of 21. Her family ate 3 boxes of chocolate. How many boxes are left? Step by step explanation. Pls help!
Find the value of x. Show your work congruent triangles
Answer:
x = 8
Step-by-step explanation:
We have a given triangle with two interior angles which are x + 23 and 80°. The third angle of the triangle would be equal to 4x + 17. This is because vertical angles are congruent.
Thus:
(x + 23) + 80 + (4x + 17) = 180
x + 23 + 80 + 4x + 17 = 180
5x + 120 = 180
Subtract - 120 both sides
5x = 180 - 120
5x = 40
Divide both sides by 5
x = 8
And yet again another algebra question, 8 POINTS
Answer:
green
Step-by-step explanation:
11a^3−4a^2−14a−7
Answer:
11a³-4a²-14a-7
(The light blue/green one)
Step-by-step explanation:
We'll need to combine like terms (terms with the same variables and exponents)
(4a³-8a-4a²)+(7a³-7-6a)
add/subtract
we'll keep -4a² and -7 as is as there aren't any other terms like them
11a³-14a-4a²-7
put into standard form:
11a²-4a²-14a-7
(The light blue/Green one)
Hope this helps!
plz help need this! pic in bottom!
Answer:
Step-by-step explanation:
13d + 8 = -1
subtract 8 from both sides
13d = -9
d = -9/13
either keep it in fraction form or if you divide it out it is -0.6923
11 + 2² - 2
please use pemdas
Answer:
the answer is 13
Step-by-step explanation:
i did PEMDAS
Answer:
13
Step-by-step explanation:
11+2*2-2
2*2=4
4+11=15
15-2=13
13 is the answer
if the exponent was 5 you would put 2*2*2*2*2.
If sin x= 1/2 and cos x= √3/2, the measure of angle x is equivalent to:
Answer:
s
if sin x= 1/2, cos x= root 3/2,
x = 30 degrees
Which fractions are equivalent to 3/5
These are the answers.
Answer:
Step-by-step explanation:
3/5 is equivalent with 12/20, 30/50
3*4=12, 3*10=30
5*4=20, 5*10=50
Multiply and simplify: –3x2y2 • x4
–3x5y2
9x5y2
–3x6y2
–3x5y6
Answer:
Multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]
Option C is correct option.
Step-by-step explanation:
We need to multiply and simplify: [tex]-3x^2y^2 \:.\: x^4[/tex]
Simplifying the term:
[tex]-3x^2y^2 \:.\: x^4[/tex]
While multiplying, the variables with same bases are multiplied: [tex]a^m\:.\:a^n=a^{m+n}[/tex]
In the given question only x^2 and x^4 are variables with same bases, So we get:
[tex]=-3(x^{2+4})y^2\\=-3x^6y^2[/tex]
So, multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]
Option C is correct option.
A large rock (mass = 4.0 kg) moving at a velocity of 2.0 m/s has a momentum of _______ kg*m/s
Step-by-step explanation:
❁ [tex] \underline{ \underline{ \text{Given} }}: [/tex]
Mass of a large rock ( m ) = 4.0 kgVelocity ( v ) = 2.0 m/s❁ [tex] \underline{ \underline{ \text{ \: To \: find}}}: [/tex]
Momentum ( p )✑ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \underline{ \sf{Momentum \: = \: mass \: \times \: velocity}}}[/tex]
plug the known values :
⟹ [tex] \sf{Momentum = 4.0 \: kg \: \times \: 2.0 \:m/s } [/tex]
⟹ [tex] \sf{Momentum = 8 \: kg \: m/s}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : \bold{ \underline{8} }\: kg*m/s}}}}[/tex]
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ [tex] \underline{ \underline{ \text{Learn \: more about \: momentum}}}: [/tex]
Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.
If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.
The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.
Mathematically ,
Momentum = mass × velocity
i.e p = m × v
The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.
Hope I helped ! ♡
Have a wonderful day / night ツ
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In a group of 60 children, 28 are enrolled in a summer swimming program, 20 signed up for soccer
and 6 are in both. If a child is selected from those enrolled in swimming, what is the probability that the child is signed up for soccer?
plss HELPP!!!
help with unknown angle measure (view image linked)
Answer:
X=25
Y=25
Z=115
Step-by-step explanation:
Find the value of x in the triangle shown.
Write an equation of the line with a slope of —3 and y-intercept of 0.
Answer 31,32,33,34,37,39,40,43,46,47 thanks