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
Mr. Alvarez makes a walkway of 3 cement slabs.He uses 14 cubic feet of cement to make the walkway.Each square slab has a volume of 4 cubic feet
Answer:
I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.
The walkway has 3 cement slabs,
He uses a total amount of 14 cubic feet to make the complete walkway.
This means that the 3 cement slabs together have a total volume of 14 ft^3
To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:
Volume of each slab = (14 ft^3)/3 = 4 ft^3
This means that each cement slab has a volume of 4 ft^3.
Answer:
6 ft^3
Step-by-step explanation:
Convert to 0,125km
to centimetres..........
Answer:
12500 cm
Step-by-step explanation:
0,125 km = 125 m (times 1000 because 1 km = 1000 m)
125 m = 12500 cm (times 100 because 1 m = 100 cm)
What is the equation of the line that passes through the point (-5, -4) and has a
slope of -3/5
Answer:
y=-3/5x-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-3/5(x-(-5))
y+4=-3/5(x+5)
y=-3/5x-15/5-4
y=-3/5x-3-4
y=-3/5x-7
Assume that the lines are parallel.
Answer:
left ?= 110
right?= 70
Step-by-step explanation:
If the perimeter of the rectangle shown is 60 feet, we can use the equation 8x + 4 = 60 to find its dimensions. If the solution to this equation is x = 7, what are the dimensions of the rectangle?
Answer:
l= 28 feet
b = 2 feet
Step-by-step explanation:
The perimeter of a rectangle is given by;
P= 2(l + b)
Comparing this to the equation; 8x + 4 = 60, i can write;
2(4x + 2) = 60
This means that;
l = 4x
b = 2
but x =7
So;
l = 4* 7 = 28 feet
b = 2 feet
Simplify 28/184 by reducing to lowest form
A) 1/46
B) 1/7
C) 14/92
D) 7/46
PLEASE HELP ASAP! WILL MARK BRAINIST! PLEASE PLEASE
Answer:
Step-by-step explanation:
its c
can you please help me
Answer:
b !! (0.5, 0.5)
Step-by-step explanation:
if you used the formula to find midpoint 9i included a picture, you would get the fractions (1/2, 1/2) !! that as a decimal is 0.5 !! so the answer is b !! i really hope this helps !!
An article marked at ₹50 is sold for ₹45. What is the
rate of discount?
Answer:
Your answer is
Rate of discount = 10%
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
can someone please help? I'm sorry I don't have a lot of points to offer. I'm running out of points
Answer:
80 degrees
Step-by-step explanation:
The 132-deg angle is an exterior angle of the left triangle.
The 52-deg angle is a remote interior angle to the exterior angle above.
Angle VZY is also a remote interior angle to the exterior angle above.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
We use the theorem above to find the measure of angle VZY.
52 + m<VZY = 132
m<VZY = 80
Angles WZX and VZY are vertical angles, so they are congruent.
m<WZX = m<VZY = 80
Answer: 80 degrees
Answer:
m∠WZX = 80°
Step-by-step explanation:
Angle V is a flat angle, so it measures 180°.
Find ∠YVZ (blue angle): 180° - 132° = 48°
Triangle VYZ is 180° (all triangles are 180°).
Find ∠YZV (red angle): 180° - 52° - 48° = 80°
Since you know ∠YZV, you can find ∠WZX (green angle).
∠YZV and ∠WZX are opposite angles, so they are congruent.
Therefore, ∠WZX = 80°
Hope this helps :)
find the number of terms and the degree of this polynomial.
[tex] - 9 {r}^{9} [/tex]
Step-by-step explanation:
there is 1 term
9th degree or degree =9
Help me please!!!!!!!!!!!!
what plus 150 equals to 180
Answer:
30
Step-by-step explanation:
150+30=180
Hope This Helps!!
(brainliest please, if possible)
Answer: 150 + 30 = 180
Step-by-step explanation: hope this helps!
What is the solution of 2.5z = 27.5
Let's solve your equation step-by-step.
2.5z=27.5
Step 1: Divide both sides by 2.5.
2.5z/ 2.5 = 27.5/ 2.5
z=11
Answer:
z=11
Please help me I posted this before using all my points and now I'm reposting it Bc no one helped me
When Sarah was 6 months old, she was 21 in. tall and her head had a diameter of 4.5 in. Now, at 20
years old, she is 6 ft. 1 in. tall and her head has a diameter of 7.65 in. If Sarah is typical, should a
person at 20 years of age be considered "similar" to herself at 6 months of age? For all parts of the
problem write an equation and solve, showing ALL the work.
a. Find the ratio of height-to-head diameter for Sarah at 6 months old. If the ratio were the
same when she was 20 years old, what diameter would her head have?
b. Find the ratio of height-to-head diameter for Sarah at 20 years old. If the ratio were the
same when she was 6 months old, how tall weld she be at 6 months?
Draw or add images here
C
How close are the two ratios you found in Part (a) and Part (b)?
d. If Sarah were taller or shorter either at 6 months of age or 20 years of age, would this make
her more or less "similar" at those two ages? Explain.
Answer:
a. ratio of height to head at 6 months old is 21/4.5 =(4.66) (the height is 4.66 times the head)
- if the ratio is the same when she is 20 she would have a head with (6ft 1in =73inches) 73/ 4.66 = 15.67 inches in diameter
b. ratio height to head at 20 yrs old = 73/7.65 = 9.54 (the height is 9.54 times the head)
-she would be about 15.6 * 4.66 = 72.70 inches tall at 20 yrs old if we the ratio at 6 months old
c. in part a ratio is 4.66, in b it is 9.54. it's a big difference
d.if she was taller at 6 months old. her head size will be smaller when she is 20 yrs compare to what we calculate.
the she was shorter at 6 months old. the ratio will be smaller and the head may have been as big as her body
Let me know if it helps, if you can please give brainliest
find the slope of (-20, -9), (-6,0)
Step-by-step explanation:
use the formula to calculate slope
I am very behind in edge, is anyone willing to help me?
Answer:
Whats the question?
Answer:
Yeeeee
Step-by-step explanation:
if 6n = 0, what does n equal?
Answer:
6n=0
n=0/6
n=0
hope it helps.
Answer:
n=0
Step-by-step explanation:
6n is the same of 6×n
∴ 6×0 = 0
Car dealers sometimes use the rule of thumb that a car loses about 30% of its value each year. 1. Suppose you bought a new car in December 2010 for $15,000. 2. Develop a general formula for the value of the car t years after its purchase. HELP
Answer: [tex]A=15000(1.30)^t[/tex]
Step-by-step explanation:
Formula to find the price of an item after t years after withe a depreciation rate of r% is [tex]A=P(1-\dfrac{r}{100})^t[/tex], where P = Initial value of item.
Given: P = $15,000, r= 30%
Then, the value of car after t years will be :
[tex]A= 15000(1+\dfrac{30}{100})^t\\\\\Rightarrow\ A=15000(1+0.30)^t\\\\\Rightarrow\ A=15000(1.30)^t[/tex]
The required general formula for the value of the car t years after its purchase:
[tex]A=15000(1.30)^t[/tex]
Please help
A school fundraiser sells holiday cards and wrapping paper. The school is trying to raise at least $400. It makes a profit of $2.50 on each box of holiday cards and 80% of the profit on each holiday box on each pack of wrapping paper. Write an inequality that represents the situation where x is the number of holiday boxes sold and y is the number of packs of wrapping paper sold.
x=
y=
Holiday Cards Profit:
Key word(s):
Linear Inequality:
Answer:
2.50x+80>4.00
Step-by-step explanation:
Verdadero o falso a) al reducir a comun denominador las fracciones se sustituyen por otras equivalentes
Answer:
Verdadero
Step-by-step explanation:
Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...
2 / 6 = 0.333
6 / 18 = 0.333
4. Gabby makes banana bread at her bakery every Monday and Wednesday. Her
banana bread calls for the ratio of ingredients shown
5 cups of sugar for every 50 tablespoons of butter
80 tablespoons of butter for every 32 bananas
Answer:
Top row: 3 cups, 30 tablespoons, 12 bananas
Second row: 7 cups, 70 tbs, 28 bananas
Step-by-step explanation:
The ratio is 5 (sugar) : 50 (butter)...
You can make the unit rate: 1 cup of sugar: 10 tbs of butter
Since the other ratio is 80 tbs : 32 bananas...
1 tbs : .4 bananas
So...
3 cups : 30 tbs
30 tbs : 12 bananas
28 bananas : 70 tbs
70 tbs : 7 cups
Hope this helps!!!
5/16 + 7/16 (simpfiy it )
If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?
Answer:
141.5 in
Step-by-step explanation:
sin 58 = m/p = 120/p
120 = psin58
120/sin 58 = p
p = 141.5 in.
Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side. Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p
What is the area of the composite figure? 65 cm2
40 cm2
52.5 cm2
60 cm2
Area of the composite figure will be 52.5 cm².
Area of the composite figure,Divide the figure into small parts of different shapes.Add the areas of the divided figures.
Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG
Area of ΔABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(5)[8-(1+2)][/tex]
= [tex]\frac{1}{2}(5)(5)[/tex]
= 12.5 cm²
Area of rectangle DEFG = Length × Width
= 8 × 5
= 40 cm²
Area of the composite figure = Area of triangle ABC + Area of DEFG
= 12.5 + 40
= 52.5 cm²
Therefore, area of the composite figure will be 52.5 cm².
Learn more about the area of the composite figure,
https://brainly.com/question/12241989?referrer=searchResults
Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1
Answer:
(-2, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -2
2x + 3y = -1
Step 2: Rewrite Systems
Find LCM of both equations.
[1st Equation] Multiply everything by 2: 6x + 8y = -4[2nd Equation] Multiply everything by -3: -6x - 9y = 3Step 3: Redefine Systems
6x + 8y = -4
-6x - 9y = 3
Step 4: Solve for y
Elimination
Combine 2 equations: -y = -1[Division Property of Equality] Divide -1 on both sides: y = 1Step 5: Solve for x
Define original equation: 3x + 4y = -2Substitute in y: 3x + 4(1) = -2Multiply: 3x + 4 = -2[Subtraction Property of Equality] Subtract 4 on both sides: 3x = -6[Division Property of Equality] Divide 3 on both sides: x = -2What is the value of x
Answer:
x=12the opposite side of parallelogram are equal
Answer:
8
Step-by-step explanation:
Since, intercepts made by parallel lines on transversals are in proportion.
Therefore,
[tex] \frac{x}{24} = \frac{12}{36} \\ \\ \frac{x}{24} = \frac{1}{3} \\ \\ x = \frac{24}{3} \\ \\ x = 8[/tex]
What equation below is a perpendicular line to the line y=-4x+8
The equation below shows the total volume (V), in cubic units, of 9 identical boxes with each side equal to s units:
V = 9s3
If s = 1.6 units, what is the value of V?
23.040 cubic units
36.864 cubic units
58.980 cubic units
129.60 cubic units
36.864 cubic units is what the answer is
can someone explain how to solve this please my midterms tomorrow! :)
Answer:
Step-by-step explanation:
