Answer:
$76
Step-by-step explanation:
You multiply 80*0.05
a student wrote a proof about the product of two rational numbers:
Let x = a/b and let y = c/d, where a and c are defined to be integers, and b and d are nonzero integers.
By substitution, xy = ac/bd.
By applying the closure property of integers and nonzero integers on multiplication, ac is an integer and bd is a nonzero integer.
What conclusion can the student now make about the product xy?
A- the product xy is a nonzero Integer because nonzero Integers are closed on division.
B- the product xy cannot be an integer because bd is a nonzero Integer.
C- the product xy may be elther rational or Irrational because the values of a, b, c, and d are unknown.
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.
A rational number is a number that can be expressed as a fraction of integers.
The conclusion the student can make about product xy is that:
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.
Given that:
[tex]x = \frac ab[/tex]
[tex]y = \frac cd[/tex]
The product xy is:
[tex]x \times y = \frac ab \times \frac cd[/tex]
So, we have:
[tex]x \times y = \frac{ac}{bd}[/tex]
From the question, we understand that:
[tex]Integers \to a, c[/tex]
This means that, ac would be an integer (by closure property)
Also:
[tex]Non\ zero \to b,d[/tex]
This means that, bd would be non-zero i.e. [tex]bd \ne 0[/tex]
So, we have:
[tex]x \times y = \frac{ac}{bd}[/tex]
[tex]x \times y = \frac{Integer}{Non\ zero}[/tex]
The quotient of an integer and a non-zero integer is always be rational.
Hence, option (d) is correct.
Read more about rational numbers at:
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Which problem situation could be used to solve the open sentence below? p/12=? please help it’s overdueee
Answer:
Its B, If P is the total amount of $ you would divide by 12 to find the number of times she took the garbage out
Can someone help me real quick?
Answer:
it looks like x is increasing and y is decreasing
Step-by-step explanation:
Answer:
40% of people get their wishes to come true. Since you have read this, at exactly 1:44 P.M., you will be told news that will surprise you. Now it's said that if you copy and paste this 4 times and comment this in the next 2 minutes and 34 seconds you will have the choice to make a wish or not in your dreams. If you don't copy and paste it, 18 hours of unluckiness will start at 6:42 A.M.. Also, if you have a dog as a pet the chances of this working are 93%.
-----------------------------------------------------------------------------------------------------------------
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on eight comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.!
Help need answers to this asap
Can someone help with this question
Answer:
It should I only looked at the first few columns and the matched up
Step-by-step explanation:
Becky used 8 gallons of gas driving to visit her friend. Her car used gas at the rate of 24 miles per gallon. How far did she drive?
Answer:
192
Step-by-step explanation:
8 x 24 = 192
Help please and thank you
Answer:
let me try this first and then I will help you is it ok
1) f(x)=(x - 3)(x - 5)
A f(x) = x2 - 8x+15
B. f(x) = x2 -15x-8
C. $(x) = x? - 8x-15
which is the equivalent?
Answer:
Step-by-step explanation:
f(x)= (x - 3)(x - 5)
f(x) = x^2 - 5x - 3x + 15
f(x) = x^2 - 8x + 15
Answer is A
give me a decimal to divide, substract and multiply. (3 of each)
Answer:
Step-by-step explanation:
0.34/ 0.14
0.621/ 0.512
0.536/ 0.612
0.64 - 0.12
0.12 - 0.36
0.59 - 0.25
0.5123 x 0.51232
0.593920 x 0.0591923
0.59129 x 0.5919232
Write an explicit formula for an, the nth term of the sequence 35, 38, 41, ...
Answer:
[tex]a_{n}[/tex] = 3n + 32
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 38 - 35 = 41 - 38 = 3
This indicates the sequence is arithmetic with n th term ( explicit formula )
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 35 and d = 3 , then
[tex]a_{n}[/tex] = 35 + 3(n - 1) = 35 + 3n - 3 = 3n + 32
Please i need help fast! Which of the following sets of numbers could not represent the three sides of a triangle?
Answer:
{7, 21, 28}
Step-by-step explanation:
In order for three sides to add up to a triangle, the two shorter sides must have a sum of greater than the longest side.
Since 7 + 21 = 28, and 28 = 28, that group of sides cannot add up to be a triangle.
Have a nice day!
A blackboard has an area of 28 ft2 and a perimeter of 22 ft. What are the dimensions of the board?
Answer:
4 ft by 7 ft.
Step-by-step explanation:
help neither me or my friend know how to do this
Answer:
X [tex]\leq[/tex] -5
Step-by-step explanation:
Answer:
x ≥ -6
Step-by-step explanation:
Here you go, this might help you
https://courses.lumenlearning.com/collegealgebracoreq/chapter/temp-4-review/
The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1
Answer:
If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1
The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Given that;
The given function is,
⇒ f (x) = x²
Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;
⇒ g (x) = (x - h)² + k
Where, (h,k) is the vertex of the parabola.
Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),
Therefore, the equation of parabola is,
⇒ g (x) = (x - 4)² + 1
Thus, The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Learn more about the function visit:
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Trigonometry can anyone help me out
Answer:
y = 11
x = 11 root 3
[tex]x = 11\sqrt{3} [/tex]
[tex]y = 11[/tex]
Step-by-step explanation:
Cos 60 =
[tex] \frac{y}{22} \\ 0.5 = \frac{y}{22} \\ 0.5 \times 22 = y \\ 11 = y[/tex]
[tex]for x \\ \sin(60) = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} \times 22 = x \\ 11 \sqrt{3 } = x[/tex]
Answer:
y = 11
x = 11 root \3
Step-by-step explanation:
solve for t i need help
[tex]4(t+\frac{1}{4})=3[/tex] distribute by multiplying 4 into the parenthesis.
[tex]4t+1 = 3[/tex]
[tex]-1[/tex] [tex]-1[/tex] subtract 1 on both sides, solve for 3 - 1, which is 2.
__________
[tex]\frac{4t}{4} =\frac{2}{4}[/tex] divide 4 on both sides.
[tex]t = \frac{2}{4}[/tex] simplify 2/4.
[tex]t = \frac{1}{2}[/tex] final answer
hope this helps :)
HELP!!!!!
.
.
.
.
.
.
.
PLEASE
Answer:
Step-by-step explanation:
The one that doesn't work with the other three is B. Nine cubed is huge compared to just plain 9 or 3^2. The other three each are equal to one another especially if you remove the brackets in D.
9 c^(2*3) * d^(3*3)
9 c^6 d^9
See image for question.
Please show workings and diagrams.
Answer:
a) 7 kmb) 298°Step-by-step explanation:
See attached diagram (not to scale).
All given details reflected.
a) Find the measure of XZ using the law of cosines:
y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)b) Now using the law of sines find the measure of angle X:
7 / sin 135° = 5 / sin X sin X = 5 sin 135° / 7m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)The bearing of Z from X is:
270° + 28° = 298°Estimate 12% of 77?
Answer: 9.24
Step-by-step explanation:
12*77 = 924
= 9.24
The answer to the given question is estimating 12% (percent) of 77, we get the answer 9.24.
To calculate 12% of 77 precisely, we can use the following formula: percent / 100 × given number
= 12% of 77
= (12/100) × 77
= 9.24
Therefore, 12% of 77 is 9.24.A percentage is a way of expressing a number as a fraction of 100. The symbol "%" is used to is used to indicate a percentage. For example, if we say that something is 25%, we mean that it is 25 out of 100 or 0.25 as a decimal. Percentages are used in many different areas, such as finance, statistics, and science. They can be used to represent proportions, rates of change, or as a way to compare different quantities. One common use of percentages is to calculate percentage change or increase. This is done by finding the difference between two values and expressing it as a percentage of the original value.
To learn more about Percentages click here
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7/8 ÷ 7/16 = Reduce your answer to the lowest terms.
PLZZZ HELP WHAT IS THE AREA OF THIS TRAPEZOID?!?!?!
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of
games, g, that Roberto can buy.
Inequality (use g as your variable):
Roberto can buy up to
video games.
Answer:
$200.00/$25.50 = g
Step-by-step explanation:
200.00 / 25.50 = 7 games
What is the value of the expression
-3-(-4)?
Answer:
The value of this expression is -7
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If the dimensions of a triangle are cut in ____, then the new perimeter is one-fourth of the original perimeter.
1. half
2. thirds
3. fourths
Answer:
Fourths
Step-by-step explanation:
If all the sides of the triangle added together is equal to P, then the sides of the new triangle would be P/4. Therefore the answer would be fourths.
39/8 as a decimal... I've forgotten how to turn fractions into decimals
Answer:
4.222222 or jus 4.2 with - over the 2 to indicate multiple 2's
Answer:
4.875
Step-by-step explanation:
Pretty simple, just divide the numerator by the denominator.
work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)
Answer:
y = 2x + 2
Step-by-step explanation:
The slope is also called the gradient of the line.
The slope that is given is two, and the point is (1, 4).
I made a point slope equation, and then converted it into a slope-intercept equation.
[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]
Hope this helps.
Find the gradient of the line segment between the points (4,3) and (5,6
Answer:
3
Step-by-step explanation:
us the formula
y1 - y2 divided by x1 - x2
=gradient
6 - 3 divided by 5 - 4 = gradient
3 = gradient
hope this helps
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When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?
-0.8x+4.8y+16
0.8x-4.8y+16
-0.8x-4.8y+4
0.8x+4.8y+4
Answer:
-0.8x + 4.8y + 16
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4) = 4( 0.5x - 0.7x + 2.5y - 1.3y + 4)
= 4( -0.2x + 1.2y + 4)
= 4*(-0.2x) + 4 *1.2y + 4*4
= -0.8x + 4.8y + 16
Answer:
-0.8x + 4.8y + 16
Step-by-step explanation:
hope this helps
whats 5/10 as a decimal
Answer:
5/10 as a decimal = 0.5
Step-by-step explanation:
5 (numerator) /10 (denominator)
Here's the little secret you can use to instantly transform any fraction to a decimal:
Simply divide the numerator by the denominator:
= 5/10
= 5 ÷ 10
= 0.5