To solve for r in the equation K = 8r - s, add s to both sides of the equation and divide both sides by 8, resulting in r = (K + s)/8.
Explanation:To solve for r in the equation K = 8r - s, we need to isolate r.
We can start by adding s to both sides of the equation to get K + s = 8r.
Then, we divide both sides by 8 to solve for r.
The final equation is r = (K + s)/8.
Gail runs a taxi.
Her running costs are £75 per day.
She charges £1.90 per mile travelled.
On Tuesday she carried passengers for a total of 35 miles.
What was her total loss?
Answer:
8.5 £
Step-by-step explanation:
1.90 * 35
= 66.5 £
so,
75 - 66.5
= 8.5 £
Answer:
She lost £8.50
Step-by-step explanation:
£1.90 x 35 = £66.50 (how much she earned on Tuesday)
£75.00 - £66.50 = £8.50
The difference of y and 6 is at least -19
Amy usually swim 20 laps in 30 minutes what is her rate in laps per minute
Hey!
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Solution and Answer:
Amy swam 30 laps in 20 minutes.
Rate = [tex]\frac{20 minutes}{30 laps} = \frac{2 minutes}{3 laps}[/tex]
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Fill in the blank. Using the number line below, the plotted number is
when rounded to the nearest thousand.
Using the given number line, the plotted number is 1000 when rounded to the nearest thousand.
How to round a number to the nearest thousand?
To round a number to the nearest thousand, you need to identify the digit in the thousands place and then decide whether to round up or down based on the digit in the hundreds place.
Now, the nearest number too the plotted dot is 1000.
Thus, we can clearly conclude that the using the given number line, the plotted number is 1000 when rounded to the nearest thousand.
Find the domain for f of x equals the quantity x plus 3 divided by quantity x minus 2. (2 points) x ≠ 2 x ≠ -3 x ≠ -3, 2 All real numbers
Answer:
x different from 2
Step-by-step explanation:
The function is written as the quotient: [tex]\frac{x+3}{x-2}[/tex]
that can give us a real value for any value of x except for x=2 that creates a ZERO in the denominator, making the division undefined.
So the only value for which the function cannot be evaluated is x=2, therefore the function's domain is all the real numbers except for x=2.
How do you solve this
Answer:
x=75 degrees because it is an isosceles triangle, and both 75 and x are equiangular.
Step-by-step explanation:
Check the picture below.
so we have two twin sides stemming from a common vertex, once they reach the base, they'd make up an angle, however, in an isosceles triangle, the twin sides always make twin angles at the base.
what is the value of y?
Answer:
60
Step-by-step explanation:
y+y+60=180
2y =120
therefore,y=60
Answer:
C. 60°
Step-by-step explanation:
To answer this problem we must make use of the sum of the internal angles of a triangle.
For any triangle the sum of its internal angles is equal to 180 °.
So we must add all the angles to find the answer:
[tex]y+y+60=180[/tex]
now we can add the two terms 'y'
[tex]2y+60=180[/tex]
and now we clear for 'y':
[tex]2y=180-60\\2y=120\\y=120/2\\y=60[/tex]
The value of y is 60°
Luis and the other hikers are trying to divide up all of the things that they need for
their trip. The group wants the division of items to be equitable so that each
person carries the same amount. If there are eight hikers, how can they figure this
out? The group isn't sure how many items will need to be carried.
Answer:
[tex]8x[/tex]
Step-by-step explanation:
Let us suppose that items carried by one hiker is [tex]x[/tex]
We know that everyone will carry same number of items
hence for a group of [tex]8[/tex] hikers, total number of items will be [tex]8x[/tex]
Multiply and give the answer in scientific notation:
(1.5 x 10^4)(8 x 10^8)
A) 12.0 x 10^12
B) 1.2 x 10^13
C) 1.2 x 10^12
D) 12.0 x 10^13
Step-by-step explanation:
given
[tex](1.5 \times {10}^{4} )(8 \times {10}^{8} )[/tex]
in order to make multiplication easier we need to change the 1.5 into a whole number form.
thus
[tex](15 \times {10}^{ - 1} \times {10}^{4} )(8 \times {10}^{8} )[/tex]
[tex] = (15 \times {10}^{4 - 1} )(8 \times {10}^{8} )[/tex]
First law of indices applied there
=(15×10^3)(8×10^8)
=(15×8)(10^3×10^8)
=120×10^3+8 ( first law of indices, which states that , numbers of the same base multiplying each other, take one of the base and add the exponent. and clearly both 15 and 8 are in base 10
=120×10^11
=1.20×10^2 ×10^11
=1.20×10^11+2
=1.20×10^13
so the answer is alt B
(1.5 x 10^4)(8 x 10^8) written in scientific notation will be 1.2×10¹³.
Why we write in scientific notation ?We write standard numbers in scientific form as it can be written in more compact way.Think of writing a billion in copy and writing it in scientific notation.
Given (1.5×10⁴)(8×10⁸) and we have to write it in scientific form.
Let us first multiply the bases which are (8×1.5) = 12 and 10⁴×10⁸ is 10⁴⁺⁸ = 10¹².
∴ (1.5×10⁴)(8×10⁸) = 12×10¹² but is scientific natation base should be less than 10 so we'll a decimal one digit before 12 like dividing it by 10 so to balance it out we also have to multiply by 10 we'll multiply that 10 to the 10¹² which will make it 10¹³.
∴ 12×10¹² = 1.2×10¹³.
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Each Saturday the gym holds 45 minute yoga classes. The weekday yoga classes last 30 minutes. The number of weekday classes varies. Last week the yoga class is totaled 165 minutes. How many weekday yoga classes were held?
For this case we have that the total minutes spent in yoga classes last week was 165.
Subtracting the 45 minutes of the Saturday day we have:
[tex]165-45 = 120[/tex]
Those 120 minutes were distributed in the weekly yoga classes
where each lasted 30 minutes.
[tex]\frac {120} {30} = 4[/tex]
So, 4 week yoga classes were held
ANswer:
4 week yoga classes were held
The explicit rule for an arithmetic sequence is an=20/3+1/3(n-1). What is the value of the 89th term?
[tex]\bf a_n=\cfrac{20}{3}+\cfrac{1}{3}(n-1) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{89^{th}~term~\hfill }{a_{89}=\cfrac{20}{3}+\cfrac{1}{3}(89-1)}\implies a_{89}=\cfrac{20}{3}+\cfrac{1}{3}(88)\implies a_{89}=\cfrac{20}{3}+\cfrac{88}{3} \\\\\\ a_{89}=\cfrac{20+88}{3}\implies a_{89}=\cfrac{108}{3}\implies a_{89}=36[/tex]
Answer:
B
Step-by-step explanation:
Just did it
A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses.
5, 5, 5, 4, 17
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
Answer:
7.2 Hours
Step-by-step explanation:
To find the mean which is also known as the average of a set of data, you first have to add all the numbers then divide the sum by the amount of data values. (I remember this by saying the mean teacher averages your grade.)
First, you need to add the numbers. 5+5+5+4+17= 36
Secondly, you need to divide the sum of all the data by the amount of data there is. In this case, there are 5 pieces of data.
Lastly, you divide 36/5
Your final answer should be 7.2
You can check your work by doing 7.2 times 5 which equals 36.
Sorry I couldn't reply sooner, hope this helped!
if fx=3x-x/2 find the range if the domain is {-3,-2,4,6}
Answer: Range: y = {-7.5, -5, 10, 15}
Step-by-step explanation:
Domain is "x" and range is "y" f(x)
Replace the x's in the equation with each given value:
[tex]f(x)=3x-\dfrac{x}{2}\qquad \qquad \text{when}\ x={-3, -2, 4, 6}\\\\\\\\f(-3)=3(-3)-\bigg(\dfrac{-3}{2}\bigg)\\\\\\.\qquad =-9+\dfrac{3}{2}\\\\\\.\quad =\dfrac{-18}{2}+\dfrac{3}{2}\\\\\\.\quad =\large\boxed{-\dfrac{15}{2}}[/tex]
[tex]f(-2)=3(-2)-\bigg(\dfrac{-2}{2}\bigg)\\\\\\.\qquad =-6+1\\\\\\.\qquad =\large\boxed{-5}[/tex]
[tex]f(4)=3(4)-\bigg(\dfrac{4}{2}\bigg)\\\\\\.\qquad =12-2\\\\\\.\qquad =\large\boxed{10}[/tex]
[tex]f(6)=3(6)-\bigg(\dfrac{6}{2}\bigg)\\\\\\.\qquad =18-3\\\\\\.\qquad =\large\boxed{15}[/tex]
The range of the function with the specified domain of {-3, -2, 4, 6} is {-15/2, -5, 10, 15}.
The student asks: if fx=3x-x/2 find the range if the domain is {-3,-2,4,6}. To find the range of the function f(x) = 3x - x/2, we will evaluate the function for each value in the given domain and record the corresponding outputs. This function simplifies to f(x) = (5/2)x when you combine like terms.
For x = -3, f(-3) = (5/2)(-3) = -15/2.
For x = -2, f(-2) = (5/2)(-2) = -10/2 = -5.
For x = 4, f(4) = (5/2)(4) = 20/2 = 10.
For x = 6, f(6) = (5/2)(6) = 30/2 = 15.
what is the exact value that is 59% of 1018
Answer: 600.62
Step-by-step explanation:
1018 x 0.59 = 600.62
Answer:
600.6. to the nearest tenth.
Step-by-step explanation:
59 % = 59/100 = 0.59.
0.59 * 1018
= 600.6.
B=kpx when solved for K is?
Answer:
k = B
px
Step-by-step explanation:
Divide both sides by px
Answer:
A
Step-by-step explanation:
27 thousands 3 hundreds 5 ones times 10
Answer:
27,050
Step-by-step explanation:
Thousand is three zeroes, so we start with 27,000
Hundred is two zeroes, so we add 300
Ones have no zeroes, so we add 5
27,305
but then this is times 10 which adds another zero, so our final result is
27,050
Find the area.
8 yd
12 yd
18.
7. A baker's dozen (13) of cookies is on sale
for $4.94. What is the cost of an individual
cookie?
ya
How many times can 1 go into 72
Answer:
[tex]72[/tex] [tex]times[/tex]
Step-by-step explanation:
This answer can be found by a very easy method.
72 divided by 1
==> 72
Meaning that if we do 1 * 72, and we get 72, this means that 1 can go into 72, 72 times
Select all the points that are on the graph of the equation 4y - 6x = 12
a. (-4,-3)
b. (-1, 1.5)
c. (0, -2)
d. (0,3)
e. (3, 4)
f. (6,4)
Answer:
b. (-1, 1.5)
d. (0,3)
Step-by-step explanation:
we have
[tex]4y-6x=12[/tex]
we know that
If a ordered pair is on the graph of the linear equation, the the ordered pair must satisfy the linear equation
Verify each case
case a) we have
(-4,3)
substitute the value of x and the value of y in the equation
[tex]4(3)-6(-4)=12[/tex]
[tex]36=12[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not on the graph of the linear equation
case b) we have
(-1,1.5)
substitute the value of x and the value of y in the equation
[tex]4(1.5)-6(-1)=12[/tex]
[tex]12=12[/tex] ----> is true
The ordered pair satisfy the equation
therefore
The ordered pair is on the graph of the linear equation
case c) we have
(0,-2)
substitute the value of x and the value of y in the equation
[tex]4(-2)-6(0)=12[/tex]
[tex]-8=12[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not on the graph of the linear equation
case d) we have
(0,3)
substitute the value of x and the value of y in the equation
[tex]4(3)-6(0)=12[/tex]
[tex]12=12[/tex] ----> is true
The ordered pair satisfy the equation
therefore
The ordered pair is on the graph of the linear equation
case e) we have
(3,4)
substitute the value of x and the value of y in the equation
[tex]4(4)-6(3)=12[/tex]
[tex]-6=12[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not on the graph of the linear equation
case f) we have
(6,4)
substitute the value of x and the value of y in the equation
[tex]4(4)-6(6)=12[/tex]
[tex]-12=12[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not on the graph of the linear equation
The only points that a valid points on the graph of 4y - 6x = 12 are;
Option A; (-4,-3)
Option B; (-1, 1.5)
Option D; (0,3)
We are given the equation;
4y - 6x = 12
Let us make y the subject to get;
4y = 12 + 6x
y = (12 + 6x)/4
y = 3 + ³/₂x
Option A; at (-4, -3), let us put -4 for x to see if we will get y as -3;
y = 3 + ³/₂(-4)
y = 3 - 6
y = -3
Thus, (-4, -3) is a valid point
Option B; at (-1, 1.5)
y = 3 + ³/₂(-1)
y = 3 - 1.5
y = 1.5
Thus, (-1, 1.5) is a valid point
Option C; at (0, -2)
y = 3 + ³/₂(0)
y = 3
Thus, (0, -2) is not a valid point
Option D; at (0, 3)
y = 3 + ³/₂(0)
y = 3
Thus, (0, 3) is a valid point
Option E; At (3, 4)
y = 3 + ³/₂(3)
y = 3 + 4.5
y = 7.5
Thus; (3, 4) is not a valid point
Option F; At (6, 4)
y = 3 + ³/₂(6)
y = 3 + 9
y = 12
Thus, (6, 4) is not a valid point
In conclusion the only valid points are; (-4, -3), (-1, 1.5), (0, 3)
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Which figure is a translation 1?
Figure
Answer:
Figure 4
because they both have same sizes
The figure 4 is translation of figure 1.
What is Transformation?Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.
The translation is a transformation in which the x and y coordinates are shifted of the object.
The only figure in which the transformation is translation of figure 1 is Figure 4.
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help answer a and part b
Answer:
The proportional relationships are used by showing ratios that can be simplified into 2:3.
Answer:
hbd
Step-by-step explanation:
fcvhk;mlsdhijksnmc3w
If F(x) = x²+1
What is f(f(x))?
A. X^4+2x^2+1
B. X^4+2x^2+2
C. X^4+2
D. X^4+1
Answer:
B. x^4+2x^2+2
Step-by-step explanation:
(x^2+1)^2+1
=(x^2+1)(x^2+1)+1
=(x^4+x^2+x^2+1)+1
=x^4+2x^2+2
In the number 2,983,785 what best describes the number 5 prime composite or neither prime or composite
Answer:
The last digit of this number is 5
Therefore, it is divisible by 5
It is composite
Step-by-step explanation:
Please answer this correctly
Answer:
52:72
Explanation:
Because it's comparing the men to the TOTAL passengers. Not the women, that's trying to trick you.
Answer:
52:72
Step-by-step explanation:
because it said the male to total passengers
How Many times greater is 4000 then 15?
Just divide one by another and you'll get the ratio
4000/15 = 800/3 ≈ 266,67
So 4000 is 266,67 times greater than 15
Answer:
266.666 or 266.67
Step-by-step explanation:
You´d divide 4000 by 15 and you get 266.666, which can be simplified to 266.67.
Write x = 1/4 y + 2 in slope intercept form.
Imma give extra points!! Bc im nice c:
98 points
Answer:
y = 4x - 8
Step-by-step explanation:
x = 1/4y + 2
-1/4y -1/4y
-1/4y + x = 2
-x -x
-1/4y= -x + 2
*-4 *-4
y = 4x - 8
Hey!
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Solution:
~Subtract x to both sides
x - x = 1/4y + 2 + (-x)
~Simplify
1/4y = 2 + (-x)
~Multiply 4 to both sides
1/4y * 4 = 2 + (-x) * 4
~Simplify
y = 8 - 4x
~Switch
y = 4x - 8
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Answer:
[tex]\large\boxed{y~=~4x~-~8}[/tex]
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Flora made 3 withdrawals of $65 each from her bank account. What was the overall change in her account?
The total change in her account is $
Answer:
-$195
Step-by-step explanation:
If she made 3 withdrawals and they are all the same amount then the equation is
65 x 3 or 65+65+65
Which equals 195
Since she is taking money out of her bank account, the total change is negative because she is subtracting it from her current amount
The total change is -$195
A bicycle wheel makes 65 rotations in 100ft what is the bike speed in rotations per foot
Hey!
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[tex]\large\boxed{0.65~rotations~per~foot}[/tex]
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Solution:
speed = rotations / distance
speed = 65 / 100
speed = 0.65
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For a tax rate of 8.25%, find the amount of tax that will be paid on an automobile tube-up costing $76. Find the total price of the tune-up with tax.
Final answer:
To find the tax on a $76 automobile tune-up at 8.25%, convert the tax rate to a decimal (0.0825), multiply it by the tune-up cost ($76), resulting in a tax of $6.27. Adding the tax to the original cost gives a total price of $82.27.
Explanation:
To calculate the amount of tax on an automobile tune-up costing $76 with a tax rate of 8.25%, first, you need to convert the percentage to a decimal. The decimal form of 8.25% is 0.0825. Then multiply the cost of the tune-up by this decimal:
$76 x 0.0825 = $6.27The amount of tax to be paid is $6.27. To find the total price of the tune-up with tax, you simply add the tax amount to the original tune-up cost:
$76 + $6.27 = $82.27Therefore, the total price of the automobile tune-up including tax is $82.27.