Answer:
tax = 5.12
Step-by-step explanation:
given:
tax rate = 8.25 = 8.25/100 = .0825
meal cost = $62
find:
what is the amount of sales tax they had to pay
tax = $62 x 0.0825
tax = 5.12
Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in 25 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself? I’ve tried multiple problems like this but I keep getting them wrong, please help.
Answer:
140 minutesStep-by-step explanation:
this problem focuses on the combined work rate
both can finish the work under 63 minute
let bobby mow the lawn in x minute
Billy will then mow the lawn in x-25 minutes
Let the completed job = 1 (a mowed lawn)
we can now apply the combined work formula for the two boys as
[tex]\frac{63}{x}+\frac{63}{x-25}=1[/tex]
multiplying through by x(x-25 )we have
[tex]63(x-25)+63x= x(x-25)[/tex]
open bracket we have
[tex]63x-1575+63x= x^2-25x[/tex]
rearranging and collecting like terms we have
[tex]0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0[/tex]
we can now use the quadractic formula
[tex]x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}[/tex]
a= 1
b= -151
c= 1575
[tex]x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}[/tex]
[tex]x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\[/tex]
[tex]x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27[/tex]
the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time
let us check
[tex]\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1[/tex]
we can see that the solution approximates to 1
Explain what MN means and what MN means.
Answer:
It can mean Minnesota, Main, Mobile Node, and Minute.
2/3 ÷ 2^4 + (3/4 + 1/6) ÷ 1/3
Answer:
2 19/24 is the simplified answer
Step-by-step explanation:
Hope this helped! :)
Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:
Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:
Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:
If point P(2,-4) is reflected over the x-axis, determine coordinates of the image
Answer:
it would most likely be positive (2,4)
Step-by-step explanation:
I'm sure this is it I got it right on mine
Answer: what are you talking about????????
Step-by-step explanation:
6) Order the fractions and decimals from least to greatest 0.75, 1/2, 04, 1/5
Answer:
Order from least to greatest: 1/5, 0.75, 1/2, 04.
Explanation:
1/5 is the least because 0.75 is equivalent to 1/4 and 1/2 is greater than both of those. 04 is a whole number because the 0 doesn't matter if there's no decimal point, which there isn't. So take away the 0 and you get the whole number 4! Hope this helped :)
1- What is the fastest growing career in terms of
percent growth? In terms of raw quantity?
2- How many more people are expected to work as mathematicians by 2026?
3- What fraction of the fastest growing careers are in the health & human services industry? Why do you think that's the case?
4- If you were going to choose your future career from this list based solely on your prospects for employment, which of these jobs would you choose? Explainyour thinking
Answer:
1. Statisticians and operations research analysts.
2. 167,582.3 persons.
3. 40%.
4. Pharmacist
Step-by-step explanation:
1. According to data from the U.S. Bureau of Labor Statistics, Statisticians and Operations Research analysts are among the fastest-growing occupations in terms of their percent growth, having high projected growth rates of 33.8 percent and 30.2 percent.
2. People who are expected to work as Mathematicians by 2026 are projected to grow up to 27.9 percent (167,582.3 persons).
3. About 40% of the fastest-growing careers are in the health & human services industry. This is the case because as the human population continues to increase, the need for healthcare providers will increase rapidly.
4. Considering the lower projection of 22% for this career, it gives better prospects for getting employment due to the limited supply of Pharmacists.
Write an expression to show
seven less than the product of five and eight
Answer:
(5*8)-7
Step-by-step explanation:
Answer:
(5*8)-7
Step-by-step explanation:
Can a function have more than one Relative Maximum or Minimum?
Explain in detail.
On a multiple choice test, each question has 7 possible answers. If you make a random guess on the first question, what is the probability that you are correct? a. 1 b. 7 c. 1/7 d. 0
Answer:
c (1/7)
Step-by-step explanation:
it takes 1 cup of liquid fertilizer to make 7 1/2 gallons of spray. how much liquid fertilizer is needed to make 80 gallons of spray?
Which of these triangles are translations of triangle A
A suit is on sale 32% off. The sale price is $221
Answer:
are you trying to get the discount amount? or the discount off the $221 if so
$221 x .32 = $70.72 discount amount off the sale price $221 which would make the final price $150.28
Step-by-step explanation:
Please Help Me Solve I’m In Middle School!!!
61.8 X 1.7
Help quickly please!!
Answer:
990.6
Step-by-step explanation:
61.8×17=9906 and since there is two number in the decimal point we put the decimal point in after the number 06
so it is......99.06
Which graph represents the function f(x) = 4[x]?
y
y
16
16
y
16
16
12
12
12
121
8
8
81
8
40
ای
09
4
2
123
OD
8
o
0
Answer:
b
Step-by-step explanation:
The graph which represent the function f ( x ) = 4 [ x ] is graph B
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 4 [ x ]
And , function f(x) = 4[x] represents the greatest integer function, which returns the largest integer less than or equal to x
The graph of the greatest integer function consists of horizontal segments, with jumps at the integers. Since the function is multiplied by 4 in this case, the distance between the jumps will be 1/4 of the original distance.
Hence , the graph is Option B
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
#SPJ7
solve 2n + 3n + 7 = -41 in variable
Answer: N=-9.6
Step-by-step explanation: Please mark me brainliest
HELP PLEASE ASAPPP !!!!!
Given: triangle NOP is similar to triangle WXY
We know that NOP has a base length of 4 while triangle WXY has a base length of 10
10 / 4 = 2.5
The scale factor = 2.5
We also know that all similar triangles have congruent angles
The measure of angle X on triangle WXY = 58 degrees because its corresponding angle on triangle NOP = 58 degrees.
We know that all the angles of a triangle add up to 180.
The measure of angle P for triangle NOP is:
180 - (49 + 58) = 73 degrees. This means that the measure of angle Y for triangle WXY is also 73 degrees.
We know that the scale factor = 2.5 so 12 / 2.5 = 4.8
NP / WY = 12 / 4.8 = 2.5
The length of WX = 6 * 2.5 = 15
The length of NP = WY / 2.5 = 12 / 2.5 = 4.8
The scale factor of triangle NOP to triangle WXY is 2/5 =0.4.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, ΔNOP∼ΔWXY
NO/WX =OP/XY =NP/WY
6/WX =4/10 =NP/12
a) The scale factor is 4/10 =2/5
b) m∠X=58
c) m∠Y=
m∠N+m∠O+m∠P
=49°+58°+m∠P=180°
107°+m∠P=180°
m∠P=73°
So, m∠Y=73°
d. 6/WX =4/10 =NP/12
4/10 =NP/12
2/5=NP/12
NP=24/5
NP=4.8
So, NP/WY =4.8/12
e) WX
6/WX =4/10
60=4WX
WX=60/4
WX=15
f) NP
4/10 =NP/12
2/5=NP/12
NP=24/5
NP=4.8
Therefore, the scale factor of triangle NOP to triangle WXY is 2/5 =0.4.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ2
If Thor's hammer can travel 4.95 km per second, how far can it travel in 12 seconds?
Answer:
59.4 km
Step-by-step explanation:
use the formula distance = velocity x time
where velocity = 4.95 km/sec
time = 12 sec
plugin values into the formula
distance = 4.95 km/sec x 12 sec
distance = 59.4 km
therefore,
thor's hammer travelled 59.4 km
What is the distance between the points (-5,6) and (7,3)? a 8.06 b 12.37 c 11.40
Hey there! I'm happy to help!
Here's how to find the distance between any two points.
Find the difference of the x values.
-5-7=-12
Square it.
-12²=144
Find the difference of the y values.
6-3=3
Square that.
3²=9
Add the two numbers we got.
144+9=153
√153≈ 12.37.
Have a wonderful day! :D
There are 35 boys in band and 49 girls in band. Ryan says that the ratio of 10 poi boys to girls is 5 to 7. Which statement is true?
A He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.
B. He is wrong because the ratio of 5 to 7 is smaller than the ratio 35 to 49.
C. He is right because 35 and 49 are larger numbers than 5 and 7.
D. He is wrong because 35 and 49 are larger numbers than 5 and 7.
Answer:
A. He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.
Step-by-step explanation:
Explained in the answer.
What is the measurement of
Answer:
tell the full question.
Sarah has two job offers: Nike will pay her $12 per hour and chick-fil-a will pay her $8 per hour. If she works 13 hours at Nike and 16 hours at chick-fil-a at which job would she earn more money?
(4z+3)+(4z+3)+(4z+3)+(4z+3) solve pls or simplify
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16z + 12}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(4z + 3) + (4z + 3) + (4z + 3) + (4z + 3)}[/tex]
Remove the unnecessary parentheses
[tex] \sf{4z + 3 + 4z + 3 + 4z + 3 + 4z + 3}[/tex]
Collect like terms
Only the coefficients of like terms can be added or subtracted
[tex] \sf{4z + 4z + 4z + 4z + 3 + 3 + 3 + 3}[/tex]
[tex] \sf{16z + 3 + 3 + 3 + 3}[/tex]
Add the numbers
[tex] \sf{16z + 12}[/tex]
Hope I helped!
Best regards! :D
Find the midpoint of the line segment with endpoints ( 5, 2 ) and ( -4, -3 )
Answer:
Add both "x" coordinates, divide by 2.
Add both "y" coordinates, divide by 2.
Step-by-step explanation:
?????????????????????????????????????????????????????????????????/
The expression 36 ÷ 6 • 2 + 1 is equal to _____.
2
4
13
18
Answer:
Step-by-step explanation:
36/6 · 2 + 1
6 ·2 + 1
12 + 1 = 13
answer is 13
Answer:13
Step-by-step explanation:
36 ÷ 6 • 2 + 1 Start with division then go to multiply, then go to add
Find the distance between A (-3,
- 4) and B (5. – 10).
Answer:
16.13
Step-by-step explanation:
Sorry!! if I am wrong....
Is 0.80880888 rational
Answer:
yes
Step-by-step explanation:
it has an end to it. for example pi is not rational because it is infinite
Drag the tiles to the table. The tiles can be used more than once, but not all tiles will be used.
On John's flight to New York City, the plane flies 740 miles with a tailwind, which increases its speed. On the flight back
home, the plane travels against the same wind, which decreases its speed. Assume the airplane cruises at a speed of
495 miles/hour without any wind. Let x represent the wind speed. Use this information to complete the table.
Distance
Rate
Time
Flight to NYC
Flight Home
740
495 + x
495 - X
740
740
х
495 + x
495 - X
495 +
740
495 - X
740
Answer: flight to NYC
distance: 740 rate: 495+x time: 740/495+x
flight home:
distance: 740 rate: 495-x time: 740/495-x
Step-by-step explanation: the plane is flying with the wind when flying to NYC so the planes speed, or rate, can be modeled as 495+x
on the flight back home plane is flying against the wind so the planes speed, or rate, can be modeled as 495-x
multiply across the table to find the time each journey will take by using the equation time=distance/rate. Hope this helped :)
