Answer:
C = 17 - R
Step-by-step explanation:
In this scenario, 17 cars would be the initial starting point. While C would be the final number of cars, meaning that our equation would have to equal C. If she rents R number of cars then this number is being subtracted from the initial number of cars because Charmaine would no longer have them in his/her possession. Therefore, it is being subtracted. Using this information we can create the following equation.
C = 17 - R
Two friends have recently graduated from college and are now looking for jobs. They are debating which type of job is better: hourly or salary. One hourly position that pays $18 an hour, with time-and-a-half pay for overtime. One salary position for the same type of job pays $38,000, does not pay for overtime. If employees work exactly 40 hours per week, which job has a higher hourly rate? How can we calculate this? Describe (compare) how these two different hourly rates would look when graphed as a line. When interviewing for the salaried job, the friends learn that they may have to work about 10 hours of overtime each week. Explain why this math is crucial to determining which job pays more.
Answer: This is a CRQ so you will want to answer using R.A.C.E
Step-by-step explanation:
First, restate the question: "If employees work exactly 40 hours the job with the higher pay rate is..."
Now let's figure it out who gets paid more. The hourly employee gets $18 per hour, for 40 hours each week... 18 times 40. That's $720 for each week.
But they don't work for just one week, they have to work the whole year! So that's 52 weeks. Take the $720 and multiply by 52 weeks.
Now you have the total for how much hourly guy will make in a whole year.
Compare this number with the salary guy who is making $38,000 per year. Which person get's paid more? Hourly or Salary? Don't forget to include your calculations!
.............................................................................
Next part of the question: "When graphed as a line..." This part of the question you do not have to do because we did not cover slope of a line yet. (Hi, I'm your math teacher by the way lol)
.............................................................................
Next part of the question adds 10 hours of overtime to their work week. This changes everything! Remember, the salary guy gets $38,000 every year, no matter how many hours of overtime he works.
However, the hourly guy gets extra money for these extra hours! For overtime, the hourly employee gets "time and a half" pay whenever he has to work extra time. This means he gets his original $18 per hour, AND now also gets half of that ($9 per hour) ... which adds up to a whopping $27 per hour for overtime (nice!)
Hourly guy works 10 extra hours per week, at $27 per hour. Multiply that and you get $270 per week. Remember, 52 weeks per year, so now take the $270 and multiply by 52 weeks. This gives you the total amount of overtime money hourly guy makes.
Combine his overtime money with his regular money (the first thing we did at the start of this problem) to get his new grand total for the year.
Salary guy still makes $38,000 per year. So now that they work overtime... who gets paid more?
Remember to answer in R.A.C.E format. Restate your question, Answer all parts of the question, Cite a math term/definition/concept that supports your answer (maybe use "hourly rate" or "salary"), and Explain your steps and thinking.
Good luck! send me an email for more help.
Mrs. B
Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
Answer:
A) [tex]AC=DF[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Options
A) [tex]AC=DF[/tex]
B) [tex]AB=DE[/tex]
C) [tex]\angle B=\angle E[/tex]
D) [tex]\angle A=\angle D[/tex]
Required
Which does not prove the congruence of ABC and DEF using ASA?
From the attachment, we have the following:
[tex]\angle A = \angle D[/tex] --- Angle
[tex]AB = DE[/tex] --- Side
[tex]\angle B = \angle E[/tex] ---- Angle
The ASA theorem means that 1 side of both triangles are equal.
By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.
However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem
Find the height of a cone that has a radius of 3 in and a volume of 96.91 in.
Answer:
thank you lil shawty
Step-by-step explanation:
Can yall help its due in 30 minutes
Answer:
$462.50
Step-by-step explanation:
:))
Write an equivalent expression by factoring for 6a + 15
Identify these foil solutions by using the screenshots below!
Hope it helps and is correct!
Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?
Answer:
g5654
Step-by-step explanation:
please help asap!!!!
Answer:
x ≤ 7.5
Step-by-step explanation:
First, get x alone by multiplying both sides by 3 (to get rid of the fraction)
3 (1/3x) ≥ 3(2.5)
x ≤ 7.5
(The sign will flip whenever you multiply or divide in an inequality)
Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5
Which angles in the picture are NOT supplementary?
2 and 3; 1 and 4
1 and 2; 2 and 3
1 and 3; 2 and 4
4 and 1; 3 and 4
Answer:
1 and 3; 2 and 4
Step-by-step explanation:
Supplementary angles add up to 180 degrees, which is a straight line.
we can see that angles 2 and 3 make the / line, as do 1 and 4
1 and 2 make up the \ line, while, as mentioned above, 2 and 3 make /
4 and 1 is the same as 1 and 4 so they still create / and angles 3 and 4 make the \
HELP ANSWER FAST!!!!
Problem situation:
Janelle is at the movie theater and has $20
to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20 > 8 + 4.99x
Drag each number to show if it is a solution to both the inequality and the problem
situation, to the inequality only, or if it is not a solution.
Answer:
Rewrite so x is on the left side of the inequality.
8 + 4.99x < 20
Move all terms not containing x to the right side of the inequality.
4.99x < 12
Divide each term by 4.99 and simplify.
x < 2.405
The result can be shown in multiple forms.
Inequality Form:
x < 2.405
Interval Notation:
( −∞ , 2.405 )
Step-by-step explanation:
Answer:
Both:
1
2
Inequality Only:
-4
3/4
2.3
Neither:
2.5
What is (-3)^-9 times (-3)^5
Answer:
1/80 or 0.01234568
Step-by-step explanation:
Exponentiation: (-3) ^ (-9) = -5.08052634253E-5 = -1/
19683
Exponentiation: (-3) ^ 5 = -243
= -1/
19683
* (-243) = -1 · (-243)/
19683 · 1
= 243/
19683
= 1 · 243/
81 · 243
= 1/
81
can someone help me on this and plz explain
HELPPPPPPPPP!! ASAP IT WOULD BE GREATLY APPRECIATED
Answer:
I believe option 4
A cookie jar starts off with 32 cookies in it, and
each day 2 cookies are eaten. After a certain
number of days, there are 14 cookies left in the jar.
Which of the following equations represents the
day, d, when there are 14 cookies in the jar?
Answer:
9 days
Step-by-step explanation:
32-2-2-2-2-2-2-2-2-2 = 14
The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given,
Initial cookie = 32
Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.
Remaining cookies = initial cookies - eaten cookies
Remaining cookies = 32 - 2d
The day when 14 cookies remain will be,
14 = 32 - 2d
2d = 32 - 14
d = 9
Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".
For more about the equation,
brainly.com/question/10413253
#SPJ2
Find the missing side of the triangle.
Answer:
The second option
Step-by-step explanation:
c=[tex]\sqrt{16^{2} +12^{2} }[/tex]
c=20 m
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
Answer:
Yes, because when the values are substituted in, the equation becomes a true statement
Step-by-step explanation:
plug in the values for x and y and see if the equation makes sense
x=3
y=11
1/3(3)+11=12
1+11=12
12=12
Since the above equation is true, the point is a solution for the linear equation.
what is the sum of 8bb-4bb
Answer:
4bb
Step-by-step explanation:
Answer:
4bb
Step-by-step explanation:
Because you need to combine like terms
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
(This is too easy)
Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better
Answer:
She did better on the Math test.
Step-by-step explanation:
14/17 is 82 percent, and 31/19 is only about 80%.
decide whether the triangle is a right triangle.
Answer:
no it is not a right angle triangle
A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides.
Answer:
18 cm ;
2 cm
Step-by-step explanation:
Length of each adjacent side = 1 :3
If 1 side = 6 ; the possible values of the adjacent side ;
That is side 2 ÷
If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm
If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm
Hence, the two Possible values of the adjacent side = 18 cm or 2 cm
The number 650,000 written in scientific notation would be _____.
A.6.5 × 10 -5
B.6.5 × 10 5
C.65 × 10 4
D.0.65 × 10 -6
Answer:
B
Step-by-step explanation:
650000 = 10⁵x 6.5
Answer:
The answer is b.
Step-by-step explanation:
Marlye asked students in her school whether they prefer scary movies or comedies she found out that 35 students liked scared movies and 65 likes comidies what percent prefier scary movies
Answer:Percentage of students who prefer scary movies =35%
Step-by-step explanation:
Number of students who prefer scary movies= 35
Number of students who love comedies= 65
Total number of students = 65 +35= 100
Percentage of students who prefer scary movies = Number students who prefer scary movies/ total number of students x 100
35/ 100 x 100
0.35 x 100= 35%
-8= -4+x
Solve for x
Answer:
-4 + x = - 8
x = - 8 +4
x = - 4
hope it helps :-
Answer:
-4=x or x=-4
Step-by-step explanation:
Move -4 to the other side by adding 4 on both sides:
-8+4=4-4+x
-4=x or x=-4
Hope this helps!
Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?
Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
I need help ASAP please
Answer:
x = 6
Step-by-step explanation:
The area of a triangle is equal to the base times the height divided by two. In this case, the base is 6 (or x, it doesn't really matter) and the height is x (or 6, it doesn't matter). That means that the area of this triangle is equal to 6 * x divided by 2, which is also equal to 18. we can say that 6x/2 = 18, meaning that 6x = 36, so x = 6.
Will give Brainly! Please help!
Answer:
The answer is option c.
Hope this helps!
4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
Complete question :
Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.
(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?
(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.
Answer:
y = 17x + 5 ;
9 bracelets ;
Sarah is right
Step-by-step explanation:
Contents per bracelet :
Small charms per bracelet = 12
Large charms per bracelet = 5
Blank spacer charms per order = 5
Number charms, y needed for X bracelets in an order ;
1 order ; x bracelets
12 + 5 = 17 small and large charms
5 = black spacer charms per order
y = 17x + 5
B.)
Order requiring 158 charms, number of bracelets :
y = 158
158 = 17x + 5
158 - 5 = 17x
153 = 17x
x = 153 / 17
x = 9 bracelets
Order requiring 264 charms
y = 264
264 = 17x + 5
264 - 5 = 17x
259 = 17x
x = 259 / 17
x = 15.23 bracelets
Sarah is right, the number of bracelets should be a positive integer and not a decimal.
The function y=-16x^2+16x+32 represents the height in feet of a firework x seconds after it is launched
Answer:
36feet
Step-by-step explanation:
Since we are not asked what to find, we can as well find the maximum height reached by the rocket
At max height, velocity is zero
V = dy/dx = 0
dy/dx = -32x + 16
0 = -32x+16
32x = 16
x = 16/32
x = 0.5s
Get the maximum height
y = -16(0.5)^2+16(0.5) + 32
y = -4+8+32
y = 36feet
Hence the max height reached by the rocket is 36feet
A pair of shoes are on sale, they are marked 40% off. The discount is equal to 20 dollars, what is the original price of the shoes
Answer:
$44
Step-by-step explanation: