Answer:
x = −1/8y + 5/8
Step-by-step explanation:
Step 1: Add -y to both sides.
8x = −y + 5
Step 2: Divide both sides by 8.
8x/8 = −y+5/8
x= −1/8y + 5/8
Compensation
10. You have a choice of receiving a wage of $34,000 per year, $2840 per month, $650 per week, or $18
per hour. Which pay choice would you take? Assume a 40-hour work week with 52 weeks per year.
Answer:
Step-by-step explanation:
Monthly rate:
So if we convert $2840 per month into year that would be: 2840 * 12 (that's how many months in a year) = 34,080
Weekly rate:
There are approximately 4.345 weeks per month since it sometimes changes. So, to find the wage per month: 650 * 4.345 = 2824.25. To find the yearly rate multiply it by 12. So, 2824.25 * 12 = 33,891
Hourly rate:
Yearly Salary : $35,100
$18 per hour
At her birthday party marcies guests are 2/3 of her birthday cake and her family ate 1/4 of the cake how much cake was left after her party
Answer: 1/12 of the cake.
Step-by-step explanation:
First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.
Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.
Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.
Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.
Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12
If Matilda answers 12 out of 15 problems correctly so far, how many will we answer correctly out of the next 25 if she continues at this rate?
Answer:
20 questions
Step-by-step explanation:
12/15 can be reduced to 4/5
you can create a ratio like the following:
4/5 = x/25
cross-multiply to get:
5x = 100
x = 20
Help me solve this problem, i already did it but i want to be sure it’s right
Answer:
Would be C
Step-by-step explanation:
Because they need slope intercept
answer.plsssssssssssssssssssssssssssssssssss
Answer:
see explanation
Step-by-step explanation:
(1)
4(m + 7) = 4 ( divide both sides by 4 )
m + 7 = 1 ( subtract 7 from both sides )
m = - 6
(2)
let the number be n , then
[tex]\frac{3}{5}[/tex] n - 2 = 40 ( multiply through by 5 to clear the fraction )
3n - 10 = 200 ( add 10 to both sides )
3n = 210 ( divide both sides by 3 )
n = 70
The required number is 70
(3)
The 4 sides of a square are congruent , then
length of side = 36 cm ÷ 4 = 9 cm
how many diffrent ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a diffrent experiement
Answer:
Since its different experiment. Then it's permutation,
Therefore it's 20P5 = 1860480 Ways
According to Newton's Law of Cooling, the temperature T(t) of a hot object, at time t after being placed in an environment with a constant temperature C, is given by T(t)=C+(To-C)e^-kt, where To is the temperature of the object at time t = 0 and k is a constant that depends on the object. If a hot cup of coffee, initially at 190°F, cools to 125°F in 5 minutes when placed in a room with a constant temperature 75°F, how long will it take for the coffee to reach 100°F?
Answer:
Given the temperature of an object at time t as
-kt f(t) = T. + Ce +
where TO is the environment temperature, C is the difference in temperature of environment and object.
Given a boliling water at 100 degree celsius is placed in a freezer at 0 degree celsius, so we have
To = 0
C = 100 – 0= 100
After 26 minutes the temperature of water is 50 degree celsius.
f(26) = 0 + 100e -26k = 50
100e 26K = 50
-26 e = 0.5
-26%: In e = ln 0.5
-26% = ln 0.5
In 0.5 k= 26
So the temperature of water after 78 minutes will be,
f(78) = 100e -78 In 0.5 26 = = 12.5 =
The temperature of water after 78 minutes will be approximately 12.5 0 C
Step-by-step explanation:
Only answer this if you know the answer.
Find The nth Term of this number sequence
18, 16, 14, 12
Answer:
The nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
First term = 18
Second term = 16
Common difference = 16 - 18 = -2
It should be noted that the formula for finding the next term of an arithmetic sequence will be:
= a + (n - 1)d
= 18 + (n - 1) × -2
= 18 - 2n + 2
= -2n + 20
Therefore, the nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
Step-by-step explanation:
Evaluate 4c - 3
When c = -2
Answer:
-11
Step-by-step explanation:
Answer: -5
Step-by-step explanation:
4*-2=-8
-8 -3=-5
Write the numbers in order from least to greatest -4, 5/2, 3, 0, -8/3
Answer:
-4,-8/3,0,3,5/2
Step-by-step explanation:
im sorry if this is wrong but this is what i think it is .
Which number should be multiplied by 45 so that it will have 3 nct prime factors?
Answer:
2
Step-by-step explanation:
,5³-(2 la puterea 35 x 3 la puterea 36 x cinci la puterea 14)x(2 x 3 la puterea 4x 5 la puterea 19).2 la puterea 4 (d din poza)
Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)
Step-by-step explanation:
PLZZ HELP!! I just dont understand it correctly
Answer:
Aidan can expect to save about $17.63 each week.
Step-by-step explanation:
We have an equation: y = 17.63x + 27.52. This equation is in slope-intercept form. In slope-intercept form, the value before the x (in this case, 17.63) is the slope, and the value added to the slope (in this case, 27.52) is the y-intercept.
Right now, though, we only need to focus on the slope. The slope represents a change in y over a change in x. Our y-values represent total amount saved, and our x-values represent number of weeks. Y over x... so, total amount saved over a certain number of weeks.
The first answer seems to match this the best. Remember that the slope represents how much is saved per week, and our slope is 17.63. So, the first answer (Aidan can expect to save about $17.63 each week) is correct. If you have any more questions or that was confusing at all, let me know! :)
The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h. Which equation can be used to find the high temperature for that day? o 56 = h – 14 Oh + 56 = 14 O 56 = 14h 0 56 = h + 14 WHOEVER ANSWER GETS BRAINLESS NEED HELP
Answer: 1.09
Step-by-step explanation:
How do you do -9-(-2)-(-6)-4?
Can anyone help me if you get it right i'll give 30!
[tex]LHS \\ = 8 + 7 - {2}^{2} \\ = 8 + 7 - 4 \\ = 15 - 4 \\ = 11[/tex]
[tex]RHS \\ = {3}^{2} + 2 \\ = 9 + 2 \\ 11[/tex]
So, LHS = RHS
Answer:=
Hope it helps.
Do comment if you have any query.
Answer:
Below!
Step-by-step explanation:
Let's try the 'equal' sign for this equation.
8 + 7 - 2² = 3² + 2Remember, when it comes to simplifying, exponents come first. This means that we need to simplify the exponents first.
=> 8 + 7 - (2 x 2) = 9 + 2=> 15 - 4 = 9 + 2=> 11 = 11Since the LHS and the RHS are equal, the 'equal' sign will fit into the equation. Hence, this is proven as true. Let's try the 'not equal' sign.
=> 8 + 7 - 2² ≠ 3² + 2=> 15 - 4 ≠ 9 + 2=> 11 ≠ 11Now, this is a definite false. The 'not equal' sign is used when two values are not equal to each other, however, in this situation, 11 does equal 11. In between them is a 'not equal' sign. Hence, this is proven false.
We can conclude that the sign you are looking for is an 'equal' sign.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
2) How long will it take for $1300 to grow to $ 45,600 at an interest rate of 8.9% if the interest is compounded
continuously? Round the number of years to the nearest hundredth.
Answer:
39.97 years
Step-by-step explanation:
The compound interest formula is ...
A = Pe^(rt)
Solving for t gives ...
ln(A/P)/r = t
t = ln(45600/1300)/0.089 ≈ 39.97 . . . years
It will take 39.97 years for $1300 to grow to $45,600 when earning 8.9% interest compounded continuously.
Please can some one help me please
Answer:
a)3
b)33
Step-by-step explanation:
a)10% is the same as 10/100 so 30/100=0.3 x 10= 3
b) 3+30 = 33
37+78(3)= ???
What is Answer for it ?
Answer:
271 is the answer of your question
Javier worked 45 hours last week. His hourly rate for hours worked is $ 8.75 . After his 40 hour work week, he is paid time and a half for overtime. What is Javier’s gross pay for last week?
The gross pay that Javier gets for last week is $415.625.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
Given that,
Rate for 1 hour = $8.75,
Since, Javier worked 45 hours last week,
So total amount got by Javier = 45×8.75=393.75
According to condition,
Last 5 days Javier is paid half more amount for overtime,
Therefore,
Javier amount of overtime gets by Javier in last 5 days
=8.75×5/2
=21.875
Total amount = 393.75+21.875=415.625
So the gross pay for last week is $415.625.
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Combining like terms. Solve for b.
15b + 10b = 50
Answer:
b=2
Step-by-step explanation:
15b+10b=50
25b=50
b=2
Answer:
B is 2 because 10x2=20 and 15x2=30
add those 2 up and get 50
Step-by-step explanation:
Give brainly pls(the crown)
Write the equation of the line passing through (-2, 1) and parallel to the line whose equation
is y = 2x + 1. Express the equation in point-slope form and slope-intercept form.
Answer: y=2x+1 (slope intercept form) & y-1=2(x+2) (point slope form)
Step-by-step explanation:
Parallel means the m value or slope are equal
Given those points and the slope you can begin to write the slope y intercept form
y=2x+B
Solve B or Y intercept x=0 and the Y value we get from the given points.
1=2*0+B
y=2x+1 (slope intercept form)
for point slope plug the points in this equation
y-y1=m(x1-x1)
y-1=2(x+2) (point slope form)
I need help on this ASAP… Line A passes through the points (-4,5) and (0,2). Line B…
Answer:
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Step-by-step explanation:
To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.
LINE A
Substituting the first line into the formula, we will get...
(2 - 5)/(0 -(-4))
-3/4
LINE B
Substituting the second line's points into the formula we will get...
(2 - 6)/(3 - 6)
-4/-3
4/3
LINE C
Substituting the third line's points into the formula we will get...
(3 -(-1)/(0 -(-3))
4/3
So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.
And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.
Therefore...
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Factor the polynomial expression x4 + x2 - 20 drag each expressions to the correct location on the factored solution
Answer:
Step-by-step explanation:
x⁴ + x² - 20
(x² + 5)(x² - 4)
(x² + 5)(x - 2)(x + 2)
The required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).
Given that,
To determine the factor of the expression, x⁴ + x² - 20.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Given expression,
= x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
= x²[x² + 5] - 4 [x² + 5]
= [x² + 5][x²- 4]
Since (a² - b²) = (a + b)(a - b)
= (x² + 5)(x - 2)(x + 2)
Thus, the required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).
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Last week the cost of a pair of socks was $3.25. This week they are on sale for $1.95. What is the percent change from last week to this week?
Tell whether this is an increase or a decrease then give the percent the value changed.
Answer:
The socks are 40% off, and it is decreased to 60%.
Step-by-step explanation:
:))
In your own words what does pi 7 mean if it’s right I’ll give you brainliest
Answer:
10
Step-by-step explanation:
Help plz I don’t understand how to do this math below
HELP ME
WHATS THE PERIMETER
Answer:
12
Step-by-step explanation:
divid half of line
Answer:
Perimeter = 60
Step-by-step explanation:
In order to find the perimeter of the given triangle, we must first determine the value of the missing side. We can use the Pythagorean Theorem to find the missing side of the given right triangle.
According to the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse (the side that is opposite of the right angle, 90°), and a and b represent the legs of the triangle. Use the formula to solve for the missing side. Rearrang the formula to isolate the variable, a:
a² + b² = c²
Subtract b² from both sides:
a² + b² - b² = c² - b²
a² = c² - b²
Next, substitute the given values into the formula:
c (hypotenuse) = 26
b (leg) = 24
a² = c² - b²
a² = (26)² - (24)²
a² = 676 - 576
a² = 100
[tex]\sqrt{(a)^{2}} = \sqrt{100}[/tex]
a = 10
The value of the missing side is 10.
Now, we can solve for the perimeter of the triangle:
P = a + b + c
P = 10 + 24 + 26
P = 60
Therefore, the perimeter of the given right triangle is 60.
If x−3=5, what is the value of 2(x+4)?
Answer:
24
Step-by-step explanation:
x-3=5, solve for x so that x=5+3
now put this in place of x in the expression 2(x+4)
2[(5+3)+4]
2(8+4)
2(12)
24
Oliver and Eva are reading the same book. At the beginning of the month, Oliver was on page 43 and Eva was on page 21. Oliver will read 3 pages per day and Eva will read 5 pages per day. Let O represent the page of the book that Oliver is on at the end of tt days into the month, and let E represent the page of the book that Eva is on at the end of tt days into the month. Write an equation for each situation, in terms of t, and determine after how many days, t, Oliver and Eva will be on the same page of the book.
O=
E=
Answer: ____ days per page
days
pages
pages per day
when you answer the question plz put it how i seated put with the answer next to them with the answer just put one of them
The number of days that it will take Oliver and Eva to be on the same page of the book is 11 days.
Oliver's equation = 43 + 3tEva's equation = 21 + 5tBased on the information given, the equation to solve the question will be:
43 + 3t = 21 + 5t
Collect like terms
5t - 3t = 43 - 21
2t = 22
t = 22/2
t = 11
Therefore, it'll take them 11 days.
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