Answer:
146 units
£31.36
Step-by-step explanation:
First 100 units= 24 p/unit
Remainder= 16 p/unit
Units used:
7143- 6997= 146Cost:
146= 100+4624*100+16*(146-100)= 2400+16*46= 2400+ 736= 3136 p= £31.36hey pls show some working i need some serious help
Answer:
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Step-by-step explanation:
Step 1: Multiply exponents
[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]
Step 2: Simplify
[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]
Step 3: Flip the negative exponents
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?
Answer:
1.2 million
Step-by-step explanation:
First multiply the equation by 100. You get:
600,000 = 100bu + 400,000
Now recognize that you can substitute:
600,000 + 100bu + 400,000
= 600,000 + (600,000)
= 1,200,000
That’s 1.2 million.
The value of the equation given is 1.2 millions.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,
So, In the equation 1, multiply by 100, we get,
6,000 = bu + 4,000
600000 = 100 bu + 400000
Now, put this in equation 2,
600,000 + 100 bu + 400,000
= 600000 + 600000
= 1200000
= 1.2 millions
Hence, the value of the equation given is 1.2 millions.
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Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5
Step-by-step explanation:
x + 78 = 180
x = 180 - 78
x = 102° for <5
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
Factor completely x2 + 64.
(x + 8)(x − 8)
Prime
(x + 8)(x + 8)
(x − 8)(x − 8)
Answer:
Prime
Step-by-step explanation:
x^2 + 64 cannot be factored any further
It is prime because it cannot be factored further.
Can a prime number be factored further?Prime numbers have two elements, themselves and 1, however, those are the trivial factors that every variety has. Due to the fact they can not be factored in every other manner, we are saying that they cannot be factored.
What does prime suggest in factoring?Prime factorization is a way of expressing a variety of as a made from its prime elements. A high wide variety is a number that has precisely two elements, 1 and the variety itself. For instance, if we take the range 30. We realize that 30 = 5 × 6, however, 6 isn't always a high wide variety.
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Identify the measure of arc AB.
1. arc AB = 70°
2. arc AB = 60°
3. arc AB = 80°
4. arc AB = 50°
Answer:
4
Step-by-step explanation:
A and B meet at G which is 50 moving up the degree ould still stay 50
Point S is located at(9,−3). Point T is located at (4,-3)
Answer:
if 52x=1 what is the value of x
Answer:
5.
Step-by-step explanation:
Khan academy (I tried 5 and it was correct)
Question 7(Multiple Choice Worth 4 points)
(01.06 MC)
Solve for x.
Ox=69
Ox = 15
Ox = 30°
Ox= 90°
Answer:
x = 30
Step-by-step explanation:
4x+2x=180
6x=180
x=30
The value of x is 30.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a line EB where another line FA is intersected at the point A on the line EB.
Angles formed on a line is supplementary.
The angles EAF and BAF are the angles formed on a line.
∠EAF + ∠BAF = 180°
4x + 2x = 180°
6x = 180°
x = 180° / 6
x = 30
Hence the value of the x in 4x and 2x is x = 30.
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y=-2
x=-2y=6
y=-2
x+2y=6
x=-2
2x-y=3
x=-2
2x+y=-3
Answer:x+y=24
is the respuesta
Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?
Answer:
Alex : 18
Step-by-step explanation:
3 + 2 = 5
30 ÷ 5 = 6
6 × 3 = 18
6 × 2 = 12
If 3* = 54, then which of the following must be true?
Answer: 3 < pi < 4
Step-by-step explanation:
)) Devon jarred 15 liters of jam after 3 days. How much jam did Devon jar if she spent 4 days
making jam? Assume the relationship is directly proportional.
Answer:
20 liters
Explanation:
To find out how much jam Devon would jar if she spent four days making jam, we must first find out how much jam she makes in one day. In order to do that, we must divide how many liters of jam she makes in three days by the amount of days it took her to make it (three days).
15 liters ÷ 3 days = 5 liters per day
So, Devon jars 5 liters of jam per day.
Now that we found out how much jam she makes in a day, let's find out how much jam she makes in four days. To do that, we must multiply the amount of jam she makes in a day by four days.
5 liters × 4 days = 20 liters
Therefore, Devon will jar 20 liters of jam if she spends four days making jam.
Answer:
on ixl its 48.
Step-by-step explanation:
The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33
Answer: 3/21=1/7
Step-by-step explanation:
hi:) I tried using the sine rule but I couldn’t get the ans :( anyone able to help? Thank you:)!!
Answer:
141.9° (1 d.p.)
Step-by-step explanation:
Please see attached picture for full solution.
Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.
PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism
1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!
Answer:
224
Step-by-step explanation:
Khan hehe
In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the value of x?
Answer:
x = 12
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
what is the mid point of the x-intercepts of f(x)=(x-2)(x-4)?
(-3,0)
(-1,0)
(1,0)
(3,0)
Answer:
The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).
Answer:
Step-by-step explanation:
PLS HELP ME GUYS I NEED HELP WITH GEOMETRY
Answer:
7, -21
Step-by-step explanation:
F could be located 14 to the left of -7 or 14 to the right of -7. 7 and -21 could be the possible locations of F.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
243,729
Step-by-step explanation:
You just need to multiply each number by 3.
I hope this help you :)
Answer:
243, 729
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
1, 3, 9, 27, 81,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
1 - first term
3 - second term
1 ? ? = 3
1 × 3 = 3
So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
1, 3, 9, 27, 81,...
1 × 3 = 3
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
So, since 'multiply three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
81 × 3 = 243
243 × 3 = 729
Therefore, the next two terms in the sequence are 243, 729.
What percent of the rectangle below is shaded?
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
Edmund makes a cube using eight small cubes.
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube
Answer: 184
Step-by-step explanation:
so edmund would have a 2 by 2 cube (try and draw it out if that helps) so
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
so samuel cubeboid would be
long = 4
wide = 6
hight = 8
8 x 6 x 4 = 192 small cubes
but we are trying to find how much more samuel got
so 192 - 8 = 184
Which of the following are solutions to lx-1|=5x+2? Check all that apply
Answer:
x=-3/4 x=-1/4
Step-by-step explanation:
x-1=5x+2
-3=4x
x=-3/4
x+1=5x+2
-1=4x
x=-1/4
Find the output, y, when the input, x is −4
Answer:
i mean if i was you it would be 4 postive , in my math head
Step-by-step explanation:
The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?
A) $23,000 − $500y
B) $23,000 − $0.02y
C) $23,000 − $5,000y
D) $23,000 − $0.0002y
Answer: C
Step-by-step explanation:
If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.
Hope this helped you and made sense! Feel free to ask me any questions you have!
Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1
plz help i don't understand what it wants me to do its make up work and i haven't been taught how to do it also its algebra 2
Answer:
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]
Step-by-step explanation:
We are to factorize the expression [tex]a^{3y} + 1[/tex] completely. To do this, we will apply the expression below;
The expression can be rewritten as [tex]a^{3y} + 1^{3}[/tex]
To factorize the expression, we need to first factorize [tex](a^{y}+1 )^{3}[/tex] first
[tex](a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2} } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\[/tex]
The we will make [tex]a^{3y} + 1^{3}[/tex] the subject of the formula as shown;
[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3} = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]
This last result gives the expansion of the expression
Find the average rate of change of the function
f(x) = x² + 9x from x1 = 1 to x2 = 5.
Answer:
15
Step-by-step explanation:
The function is;
f(x) = x² + 9x
We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5
Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex] where h is the change in x-axis
When x = 1 , f(x) = 1² + 9(1) = 10
When x = 5, f(x) = 5² + 9(5) = 70
f(x + h) - f(x) = 70 - 10 = 60
h = 5 - 1 = 4
So average rate of change = [tex]\frac{60}{4}[/tex] = 15
The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to
x₂ = 5 will be 15.
What is Average rate?
The average rate change is defined by divide the change in y - values by the change in x - values.
Given that;
The function is defined as;
⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5
Now,
The formula for the average rate change is given as;
Average change = f (x + h) - f (x) / h
Where, h is change in x - axis.
Since, The function is;
f(x) = x² + 9x
When, x₁ = 1
f(x) = x² + 9x
f(1) = 1² + 9
f (1) = 10
When, x₂ = 5
f(x) = x² + 9x
f(x) = 5² + 9 x 5
f (5) = 25 + 45
f (5) = 70
So, Average change = f (x + h) - f (x) / h
Average change = 70 - 10 / (5 - 1)
= 60 / 4
= 15
Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.
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x^2 + 6x + 5 show equation
Answer:
[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]
Step-by-step explanation:
[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]
so
[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]
hope this helps
HELP! WILL GIVE BRAINLIEST! Given the table of values below which of the following ordered pairs are found on the graph of the inverse function?
Answer:
C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)
Step-by-step explanation:
a p e x , just took the quiz
The sum of three consecutive integers is 270. Find the integers
Answer:
Step-by-step explanation:
89,90,91
Answer:
Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:
x + x + 1 + x + 2 = 270
3x + 3 = 270
3x = 267
x = 89 which means that the answer is 89, 90, 91.
Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x squared y Superscript 10 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction
Answer:
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFractionStep-by-step explanation:
Given the expression [tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }[/tex]for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.
[tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\[/tex]
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Answer:
It’s b
Step-by-step explanation: