Answer: z=mn/m–n.
Step-by-step explanation: solve the rational equations by combining the expressions and isolating the variable of Z.
Question 1
20 pts
Patty earns $81,223 a year. $13,725.35 in taxes was withheld in the
year. Private health insurance cost $5,600 a year. What is her
monthly after-tax income?
$5,158.14
$5,490.90
O $5,521.80
$5,383.12
Answer:
$5,158.14
Step-by-step explanation:
$81,223 - $13,725.35 - $5,600 = $61 897.65
$61 897.65 ÷ 12 = $5158.1375 ⇒ $5158.14
The employees at a bank ordered 2 turkey sandwiches and 4 salads from a local deli. The total cost for the order was $23. If a salad costs $1 less than a turkey sandwich, what is the cost of a turkey sandwich and the cost of a salad?
Answer:
Cost of turkey sandwich is $4.50 and cost of salad is $3.50
Step-by-step explanation:
Let cost of 1 turkey sandwich be $t and cost of 1 salad be $s.
2t + 4s = 23 --(1)
s + 1 = t
s = t - 1 --(2)
Sub (2) into (1):
2t + 4(t - 1) = 23
6t - 4 = 23
6t = 27
t = 4.5
sub t = 4.5 into (2):
s = 4.5 - 1
s = 3.5
therefore, cost of turkey sandwich is $4.50 and cost of salad is $3.50
what is 31/4 + 19/20 insimplest form
Answer:
87/10
is already in the simplest form. It can be written as 8.7 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 87 and 10 is 1
Divide both the numerator and denominator by the GCD
87 ÷ 1
10 ÷ 1
Reduced fraction:
87 /10
Therefore, 87/10 simplified to lowest terms is 87/10.
Hope this helps!
Is this
AA
SAS
SSS
PLEASE SOMEONE HELP
Answer:
Step-by-step explanation:
Triangles are not similar
[tex]\frac{11}{33}[/tex] ≠ [tex]\frac{8}{20}[/tex] = [tex]\frac{6}{15}[/tex]
[tex]\frac{2}{5}[/tex] = [tex]\frac{2}{5}[/tex] ≠ [tex]\frac{1}{3}[/tex]
What is 10.9091% to 2 decimal places
Answer:
10.91%
Step-by-step explanation:
Take your number: 10.9091
Now find the first 3 decimals: 10.909
If the last (3rd) decimal is 5 or more raise the 2nd decimal: 10.909 → 10.91
That is 2 decimal places
(if your teacher doesn't want it rounded then just 10.90%)
Answer:
10.91%
Step-by-step explanation:
Henry loves to read. He reads 90 pages in one hour. How many pages does he read in 5 hours
Answer:
450
Step-by-step explanation: 90x 5 = 450 hoped i helped
Which of the following are exterior angles? Check 2 that apply.
Answer:
D, A,B I think that’s it
Step-by-step explanation:
Kelsey and her 4 sisters spent an equal amount of time cleaning their home. their parents added their times. they found that each of the five girls spent three hours cleaning. let c be the total number of hours the girls spent cleaning right and solve a division equation to find the total number of hours the girls spent cleaning
Answer:
15 hours
Step-by-step explanation:
Kelsey + 4 sisters = 5 girls
Each of the 5 girls spent three hours cleaning
Usually, I would do 5 x 3 = c, but since we need to use a division equation, we should use c / 5 = 3 OR c / 3 = 5.
c/5 = 3
3 x 5 = 15
Check: 15/ 5 = 3
combing like terms -4(7 + 3a) -6a(4a - 5)
Answer:
-4(7 + 3a) - 6a(4a - 5) = −24[tex]x^{2}[/tex]+18a−28
Step-by-step explanation:
Answer:
24a^2-18a+28
Step-by-step explanation:
-4(7 + 3a) -6a(4a - 5)
-28-12a-24a^2+30a
-24a^2+18a-28
24a^2-18a+28
2. At Lucky's Go-Cart Track it costs $5 to rent a go-cart. They then charge a fee of $4 per hour. At
Speedy's Race Track it costs $10 to rent a go-cart plus $2 per hour. Which equation would help you to
solve how many hours you would need to rent a go-cart at Speedy's Race Track for it to be cheaper
than Lucky's Go-Cart Track?
A) 5+4h-10-2h
B) 5h+4=10h+2
C) 10+2h=5+4h
D) 5 2h=10+4h
Answer:
C) 10+2h=5+4h
Step-by-step explanation:
I think it's C because it says the equation correctly. (Remember we don't know how many hours a persons going to be there so that would be h.)
24 - 6(2x-4) = 8x - 32
Answer:
X = 4
Step-by-step explanation:
24 - 12x + 24 = 8x - 32
48 - 12x = 8x - 32
+12x. +12x
48 = 20x - 32
+32. +32
80 = 20x
divide both sides by 20
x = 4
simplify 5.42 - 4.987
Answer:
0.433
Step-by-step explanation:
5.42 - 4.987
Subtract each column of digits starting from right to left.
5.420
- 4.987
If the digit being subtracted is larger than the digit above it then borrow a digit from the next left column.
5.420
- 4.987
Borrow 1 from 5:
4.(10+4)20
- 4.987
4.(14)20
- 4.987
Borrow 1 from 14:
4.(13)(10+2)0
- 4.987
4.(13)(12)0
- 4.987
Borrow 1 from 12:
4.(13)(11)(10+0)
- 4.987
4.(13)(11)(10)
- 4.987
Subtract the second digit from the first:
(10 - 7 = 3):
4.(13)(11)(10)
- 4.987
= 3
(11 - 8 = 3):
4.(13)(11)
- 4.987
= 33
(13 - 9 = 4):
4.(13)
- 4.987
= 433
4.(13)
- 4.987
= .433
(4 - 4 = 0):
4.(13)
- 4.987
= 0.433
HELP ILL GIVE BRAINLIEST!!!!
Answers:
A. 0 and 4
B. -4,-2 and 0
C. 0,2, abs 4
D. -4 and 0
Its A i had the same one. Hope it helps.
1/2 + 2/3 / 1/6 help brainliest who answers first
Answer:
Two answers are possible
Step-by-step explanation:
Both are listed below
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
Answer:
Step-by-step explanation:
577.144
Which relation is a function?
HELP ME OUT REAL QUICK PLEASEEEEEEE
Answer:
1 1/2
Step-by-step explanation:
5/6 + 3/8 = 1.208
7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee
Angle A and Angle B are supplementary, mZA = (6x + 72) and mZB = (2x + 28)". Find x, the
mZA and the mZB.
Answer:
x = 10
m<A = 132 degrees
m<B = 48 degrees
Step-by-step explanation:
Supplementary = angles that make up 180 degrees
We know <A and <B are supplemntary, so 2x+28+6x+72 = 180.
8x + 100 = 180
8x = 80
x = 10
I input 10 into the equations to solve for the measures of the angles
Which is the greater value? The sum of 89or 45 or the difference between 89and 45
Answer:
diffrence
Step-by-step explanation:
Calculate the Sales Tax
Sales tax = Sales tax rate x Price
Total price = Sales tax + Price
Problem: The price of a table is $1,300. The tax rate is 7.75%. What is the sales tax?
What is the total price?
Answer:
Sales Tax: $100.75
Total Price: $1400.75
Step-by-step explanation:
1,300 × .0775 = 100.75
1,300 + 100.75 = $1400.75
Answer:
Tax: $100.75
Total: $1,400.75
Step-by-step explanation:
1,300*0.0775 = 100.75, 1,300 + 100.75 = 1,400.75
Which operation would you use to solve for x in the equation 3x = 15?
Answer:
Division
Step-by-step explanation:
3x = 3 times x so, you must do the opposite of multiplication to get rid of the 3, which is division.
The solution of the equation with a single variable 3x = 15 will be 5.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
3x = 15
Divide the equation by 3 into both sides, then we have
3x / 3 = 15 / 3
x = 5
The solution of the equation with a single variable 3x = 15 will be 5.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
Which graph shows three points that represent ratios?
Answer:
D
Step-by-step explanation:
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?
Answer:
0.625 or 62.5 %
Step-by-step explanation:
Calculation to find the probability that the doors were left open
First step is to find the probabilities of doors open and robbed
Probability of door open and robbed =
(25/100)*(5/100)
Probability of door open and robbed= 0.25*0.05
Probability of door open and robbed=0.0125
Second step is to find the probabilities of doors closed and robbed
Probability of door closed and robbed=
(75/100)*(1/100)
Note that 3/4 will give us 75%
Probability of door closed and robbed=0.75*0.01
Probability of door closed and robbed=0.0075
Third step is to find the probability of getting robbed
Probability of getting robbed =0.0075+0.0125
Probability of getting robbed=0.02
Last step is to find the probability that the doors were left open
Using this formula
Probability of open doors = P[door open & robbed] / P[robbed]
Let plug in the formula
Probability of open doors= 0.0125/0.02
Probability of open doors=0.625*100
Probability of open doors=62.5 %
Therefore the probability that the doors were left open will be 0.625 or 62.5 %
Find the area of a rectangle with a length of 1/4 inch and a width of 28 inches
Answer:
The area of the rectangle would be 7
Step-by-step explanation:
Kyle owns an orchard nearby. He wants to charge one flat rate per pound for his apples no matter how much someone buys. He wants 16 pounds of apples at his orchard to cost $1.50 less than16 pounds of apples at Pam’s Orchard. How much should Kyle charge per pound?
Answer:
(P - 1.50) / 16
Step-by-step explanation:
Given that:
Intention = 16 pounds of apple at Kyle's orchard should be $1.50 less than 16 pounds of apple t Pam's orchard.
Let cost of 16 pounds apple at Pam's orchard = p
Kyle's charge per pound will be :
Cost of 16 pound apple at Kyle's orchard :
p - $1.50
If 16 pounds of apple cost p - 1.50
1 pound of apple will cost :
(P - 1.50) / 16
Find the median of the numbers: 5, 4, 10, 3, 3, 4, 7, 4, 6, 5.
Answer:
4.5 ywww
Step-by-step explanation:
What is the solution to the equation below? 5c + 4 = 2(c - 5)
1. c = -4 2/3
2. c = -3
3. c = -2
4. c = - 1/3
Please answer this correctly without making mistakes what are the correct options
Yes
No it is much too high
No it is much too low
If a cake recipe requires 3:2 by weight ratio of sugar and flour, how much sugar do you need to make a 10 pound cake?
Answer:
6 pounds of sugarStep-by-step explanation:
Given the ratio of sugar and flour by weight expressed by the ratio 3:2
Total ratio = 3+2 = 5
Ratio of sugar = 3
If we are to make 10pounds cake, the amount of sugar needed will be expressed as;
Amount of sugar = Ratio of sugar/Total sugar *weight of cake
Amount of sugar = 3/5 * 10
Amount of sugar = 3 * 2
Amount of sugar = 6pounds
Hence 6pounds of sugar is needed to make the cake