The offered overtime hourly rate is 1.5 times the given hourly rate.
Correct Response;The amount he will earn for the two hours overtime is $32.25Methods by which the above value is calculated;The amount Colin Katz earns per hour = $10.75
The number of additional hours Colin Katz is asked to work = 2 hours
Rate at which the additional hours will be paid = Hourly rate and half = 1.5 hourly rate
Required:The amount he will earn for the additional hours.
Solution:The hourly rate for the additional hours = 1.5 × $10.75 = $16.125
Amount Colin Katz earns working 2 additional hours = 2 × $16.125 = $32.25
The amount he will earn for the two hours overtime = $32.25
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Solve the formula for the specified variable.
S = ( 2 W + 2 H ) L + 2 W H
L = ???
Answer: [tex]\bold{L=\dfrac{S-2WH}{2W+2H}}[/tex]
Step-by-step explanation:
[tex]S=(2W+2H)L+2WH\\\\\\\underline{\text{Subtract 2WH from both sides:}}\\S-2WH=(2W+2H)L\\\\\\\underline{\text{Divide both sides by (2W + 2H):}}\\\\\dfrac{S-2WH}{2W+2H}=L[/tex]
Jose needs 6.2 lb of organic blueberries to make smoothies. Organic blueberries are on sale for $2.85 per pound. Jose estimates that he will need $12 to buy the 6.2 lb of blueberries. What is Jose’s error?
Jose did not make an error. His estimate of $12 is correct.
Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
Jose incorrectly rounded 6.2 up to 7.
Jose incorrectly multiplied 2 and 7. The estimate should be $14.
Answer:
Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
Step-by-step explanation:
When we round 6.2 lb to the nearest pound we round down, because the digit after point is less than 5 (2<5), so
[tex]6.2\ lb\approx 6\ lb[/tex]
When we round $2.85 to the nearest dollar we round up, because the digit after point is greater than 5 (8>5), so
[tex]\$2.85\approx \$3[/tex]
Now, 6.2 lb of blueberries will approximately cost
[tex]\$3\cdot 6=\$18[/tex]
Hence, Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
Answer:
answer is B Jose incorrectly rounded $2.85 down to $2. The estimate should be $18. have a great day.
Step-by-step explanation:
In circle O, what is m? 50° 55° 125° 250°
Answer:
The measure of angle JAM is 55°
Step-by-step explanation:
The correct question is
Find the measure of angle JAM
See the attached figure to better understand the problem
step 1
Find the measure of angle JAK
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠JAK=(1/2)[arc KJ+arc LM]
substitute the given values
m∠JAK=(1/2)[170°+80°]=125°
step 2
Find the measure of angle JAM
we know that
m∠JAK+m∠JAM=180° ------> by supplementary angles
we have
m∠JAK=125°
substitute
125°+m∠JAM=180°
m∠JAM=180°-125°=55°
Answer:
The answer is 55
Step-by-step explanation:
3(3m - 2) -3 =36 step by step
Answer:
Step-by-step explanation: Alright so first you ditribute the 3 with 3m and - 2 so you will get 9m - 6 - 3 = 36 from there add all like terms like - 6 and - 3 so you will get 9m - 9 = 36 now we want variables in one side and normal numbers in the others so we add 9 to both sides so we get 9m = 45 now divide both by 9 so M = 5
What number is 19 more than another if the sum of two numbers is 161 find the two numbers
Answer:
90
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Chris has 2 pairs of black socks, 4 pairs of red socks, and 18 pairs of white socks in a dresser drawer. What is the probability that he will choose a pair of white socks, without looking in the drawer first?
75%
0.33
50%
Answer:
75%
Step-by-step explanat
Find the total pairs:
2 +4 +18 = 24 total pairs.
18 pairs are white.
The probability is the number of white over the total number of pairs:
18/24 = 0.75 = 75%
The answer is 75%
Solve for x and Y using the angles shown, please helppp
Answer:
x = 6
y = 24
Step-by-step explanation:
(14x + 4) + (16x - 4) <--- you add them because they are supplementary angles and are equal to 180°
(14x + 4) + (16x - 4) = 180
30x = 180
[tex]\frac{30x}{30} = \frac{180}{30}[/tex]
x = 6
Then you plug in 6 to (14x + 4)
(14(6) + 4) = 84 + 4 = 88
180 - 88 = 92
Now subtract 92 from 180 and make it equal to (4y - 8) to get y.
(4y - 8) = 180 - 92 ---> (4y - 8) = 88
+ 8 + 8
4y = 96
[tex]\frac{4y}{4} = \frac{96}{4}[/tex]
y = 24
Answer:
x = 6, y = 24Step-by-step explanation:
We have the vertical angles and supplementary angles.
Vertical angles are congruent. Therefore we have the equation:
[tex](1)\qquad14x+4=4y-8[/tex]
Supplementary angles add up to 180°. Therefore we have the equation:
[tex](2)\qquad(16x-4)+(14x+4)=180[/tex]
Solve (2):
[tex](16x-4)+(14x+4)=180\qquad\text{combine like terms}\\(16x+14x)+(-4+4)=180\\30x=180\qquad\text{divide both sides by 30}\\x=6[/tex]
Put the value of x to (1) and sole:
[tex]4y-8=14(6)+4\\4y-8=84+4\\4y-8=88\qquad\text{add 8 to both sides}\\4y=96\qquad\text{divide both sides by 4}\\y=24[/tex]
distance between (-3,5) an (-4,1)
Answer:
Step-by-step explanation:
note : distance between A(X1,Y1) an B (X2,Y2) is :
AB= √((X2 - X1)² + (Y2 - Y1)²)
in this exercice : X1 = -3 X2 = - 4 Y1 = 5 Y2 = 1
continue .....calculate AB
What is the domain of the function on the graph?
Dall real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to -2
all real numbers greater than or equal to -3
Answer:
All real numbers greater than or equal to -3.
Step-by-step explanation:
The domain of a function is defined as the x values that are a part of the function. Therefore, looking at the graph, we see that the domain is all real numbers greater than or equal to -3, because the function doesn't contain x values less than -3.
In Alaska, the temperature can get cold really quickly. Yesterday, the temperature dropped 3 degrees for 9 hours straight. What is the total temperature change during the 9 hours?
Answer:
27
Step-by-step explanation:
3 x 9 = 27
you just multiply the two. (if it asks for temperature after the hours just subtract)
The temp dropped 27 degrees. 3 degrees times 9 nights is 27 degrees dropped. :)
To convert a distance of 12,000 feet to miles, which ratio could you multiply
by?
5280 feet
1 mile
1 mile
5280 feet
O c. 52podle
1 foot
5280 miles
D
12 inches
1 foot
Answer:
1 mile = 5280 feet
Step-by-step explanation:
To convert a distance of 12,000 feet to miles, we use this ratio:
1 mile = 5280 feet
? = 12,000 feet
Cross multiplying gives;
[tex]\frac{12,000}{5,280}[/tex] × 1 mile = 2.272727273 miles.
Answer:
B.
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below. y=2x−5.
3x+4y=24
Answer:
all work is shown and pictured
Simplify 3 1/2 x 1/14
Answer:
0.25 or 1/4
Step-by-step explanation:
3 1/2 x 1/14 = 0.25
Answer:
-9 /14
= -0.6428571
Step-by-step explanation:
so basically, you simplify it by turning the mixed number into an improper fraction and then multiplying it (=-9/14) then, divide numerator by denominator and you have your answer! -0.6428571!!!
Seth traveled 1 mile in 57.1 seconds how many miles per hour does he drive
one hour has 60 minutes, each minute has 60 seconds, so then an hour has 60*60 seconds, namely 3600 seconds. How many miles does Seth travel in 3600 seconds?
[tex]\bf \begin{array}{ccll} miles&seconds\\ \cline{1-2} 1&57.1\\ x&3600 \end{array}\implies \cfrac{1}{x}=\cfrac{57.1}{3600}\implies 3600=57.1x \\\\\\ \cfrac{3600}{57.1}=x\implies 63.05 \approx x[/tex]
Answer:
In order to find miles per hour we must first change the time given to us (57.1 seconds) into hours. We will do this by first changing the seconds to minutes:
57.1 seconds / 60 = .952 minutes
Now we can change our minutes to hours:
.952 minutes / 60= .016 hours
Now to find miles per hour we divide the miles by our time:
1 mile / .016 hours = 63.04 mph
If 7 ounces of cola costs $.59. How much should 19 ounces costs?
Answer:
$5.31
Step-by-step explanation:
If you times $.59 seven times you will get $4.13.
Then, you will have to add $.59 two times.
Finally, you will get $5.31 .
The cost will be $1.60 in the 19 ounces if the 7 ounces of cola costs $.59.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
The proportion is a nature of a variable to another for example if we say x ∝ y then it will be a direct relation instant if we say x ∝ 1/y then it will be inverse relation.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given,
7 ounces ⇒ cost $0.59
Divide by 7 into both sides
7/7 ounces ⇒ cost $0.59/7
1 ounce ⇒ cost $0.084
Multiply both sides 19
19×1 ounce ⇒ cost $0.084 × 19
19 ounce ⇒ cost $1.60
Hence in 19 ounces of cola, it will cost $1.60.
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Put this in order 45.07 45.007 45.7 45.072 45.702
if r(x) = 3x - 1 and s(x) = 2x , which expression is equivalent to (r/s) (6)
Step-by-step explanation:
(r/s)(x)=3x-1
2x
(r/s)(6)=18-1/12
=17/12
4π=w−6π???????????????????
EMERGENCY Add using the number line.
−9+6
Drag and drop the word Sum to the correct value on the number line.
537.05 is what percent of 467
Answer:
115%
Step-by-step explanation:
Set up the equation like this:
537.05 / 467 = x / 100
Cross multiply
467x = 53705
x = 115
4x-9= 3.5-9 please help!
Answer:
x = 7/8
Step-by-step explanation:
7/8 of 4 is 3.5
4x-9 = 3.5-9
1 Point
The legs of a triangle measure 13 centimeters and 17 centimeters. Which of
the following is the measure for the longest side of the triangle?
O A. 30 cm
O B. 4 cm
O C. 31 cm
O D. 29 cm
SUBMIT
Answer:
D. 29 cm.
Step-by-step explanation:
The measure of the longest side cannot be equal or greater than (17 + 13) = 30 cm or it wouldn't be a triangle.
So it cannot be 30 or 31 cm long. Also as we want the longest side so it can't be 4 cm.
The answer is 29 cm.
What is 5.5 divided by 3.5
5.5 divided by 3.5 is 1.57142857 when solved, but when rounded, you will get 1.6, or 1.57.
Hope this helped!
Nate
A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 per square foot, what is the total cost of putting carpet in both rooms?
Answer:
total cost of putting carpet in both rooms is $3692.42
Step-by-step explanation:
given data
living room length = 24 feet
living room width = 15 feet
dining room is square so length and width will be same
dining room length = 13 feet
dining room width = 13 feet
carpet costs = $6.98 per square foot
to find out
what is the total cost of putting carpet in both rooms
solution
first we find the total area of both room that is
area of living room = length × width .................1
area of living room = 24 × 15
area of living room = 360 feet² ...........................2
and
areas of dining room = length × width
area of dining room = 13 × 13
area of dining room = 169 feet² ...............................3
so total area = add equation 1 and 2
total area = 360 feet² + 169 feet²
total area = 529 feet²
and
total cost of putting carpet in both rooms are = total area × carpet costs .................4
put here value
total cost of putting carpet in both rooms = 529 × $6.98
total cost of putting carpet in both rooms =$3692.42
The calculated total square footage that needs carpeting is 529 square feet. At $6.98 per square foot, the total cost of carpeting both rooms would be $3,690.42.
Explanation:The subject of this problem is mathematics, specifically the topic of area calculations and cost analysis. First, calculate the area for both rooms. The area of a rectangle is given by the formula length x width, so the area of the living room is 24 feet x 15 feet which equals 360 square feet. As the dining room is a square, its area is side x side, thus 13 feet x 13 feet equals 169 square feet.
Then, add these to get the total square footage that will need carpeting, which is 360 + 169 = 529 square feet.
Lastly, multiply this total area by the cost per square foot for carpeting. This gives $6.98 x 529 square feet = $3,690.42. So, the total cost of carpeting both rooms would be $3,690.42.
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can you divided 14 shirt into 2 equal piles why or why not
Answer:
Yes you can because 14 is a even number.
Step-by-step explanation:
First you divide 14 by 2 to get two equal piles and boom there's your answer.
Yes, you can divide 14 shirts into 2 equal piles, due to the fact that 14 is an even number.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The solution is as simple as dividing 14 by 2 to produce two equal piles.
⇒ 14/2
⇒ 7
Thus, you can divide 14 shirts into 2 equal piles, due to the fact that 14 is an even number.
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What is 8 3/8 + 10 1/3 =
Answer:
18 17/24
Step-by-step explanation:
for further reasoning how i got the awnser ask in the comments
Answer:18.7
Step-by-step explanation:
What is 2 19 over 20 terminating or repeating
Answer:
terminating
Step-by-step explanation:
20 is a factor of a 100
20 × 5 = 100
therefore 19 × 5= 95
So in decimal form it's 2.95
What is the remainder when 16,055 is divided by 16? (Input numeric values only)
Answer:
16055=16000+55
16000mod16=0
55mod16=7
(7+0)mod16=7
its 7
PLEASE HELP ME FAST!! I NEED TO KNOW WHAT TO WRITE FOR THE RATIO!!
Answer:
100 kilometers per centimeter.
Step-by-step explanation: We are given that
Length of Mississippi River = 3,730 km.
The scale is required to find if the length of the river is given 37.3 cm.
Thus, the scale of the map is given by, = 100
Hence, the scale of the map is 100 kilometers per centimeter.
A recipe requires 3 cups of sugar. You can only measure using 2/5 cups. how many 2/5 cups are needed for the recipe
To find how many 2/5 cups are needed for 3 cups of sugar, divide 3 by 2/5, resulting in 7.5. Therefore, 7.5 of the 2/5 cups are required.
To calculate how many 2/5 cups are needed for a recipe that requires 3 cups of sugar, you can follow these steps:
Determine the total amount required: The recipe requires 3 cups of sugar.
Determine the measurement of the cup you have: You can measure using only 2/5 cups.
Calculate the number of 2/5 cups needed: Divide the total amount needed by the measurement of the cup you have.
This gives you the equation: 3 cups \/ (2/5 cups) = 15/2 = 7.5. Therefore, you will need 7.5 of the 2/5 cups to measure out 3 cups of sugar.