An employee is scheduled to work 40 hours per week at a base rate of $18.50 per hour. In addition to the 40 scheduled hours, the employee is asked to work 8 hours of overtime for one week due to staffing shortages. If overtime is paid at a rate of 1.5 times the base rate, how much will the employee earn for the week? (use $xxx.Xx format)
Answer:
$962.00
Step-by-step explanation:
We can start from the first sentence of the word problem and work from there.
First, the employee is working for 40 hours at $18.50 per hour. This means that for each hour, the employee is gaining $18.50 . This can be represented as $18.50 * 40 = $740 for their base pay.
Next, the employee works 8 hours of overtime at 1.5 * base pay (18.50). For each hour of overtime they work, they earn 1.5 * 18.50 = $27.75 dollars. Their earnings from overtime work for the week can be represented as
8 * 27.75 = $222
Because all the employee's hours are encompassed in overtime and base pay, we can add the two together to get
740 + 222 = $962.00 for their total pay for the week
Someone help pleaseee
Answer:
see explanation
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth
= (2 + [tex]\sqrt{2}[/tex] )(4-2[tex]\sqrt{2}[/tex] ) ← expand using FOIL
= 8 - 4[tex]\sqrt{2}[/tex] + 4[tex]\sqrt{2}[/tex] - 4 ← collect like terms
= 4 units²
--------------------------------------------------------
The opposite sides of a rectangle are congruent , so
perimeter = 2(4 - 2 [tex]\sqrt{2}[/tex]) + 2(2 + [tex]\sqrt{2}[/tex] ) ← distribute parenthesis
= 8 - 4[tex]\sqrt{2}[/tex] + 4 + 2[tex]\sqrt{2}[/tex] ← collect like terms
= 12 - 2[tex]\sqrt{2}[/tex] units
Five children share 24m of ribbon equally.
How much ribbon will each child get?
Write your answer as a mixed number.
Answer: 4 8/10m
Explanation:
Total Ribbon = 24m
Total children = 5
Ribbon each student gets = 24÷5
= 4.8
Now 4.8 = 48/10
4 8/10m is the mixed fraction
So each child will get 4 8/10m ribbon
Must click thanks and mark brainliest
If five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that five children share 24m of ribbon equally.
We have to find the amount of ribbon each children gets.
To find this we have to divide the length of the ribbon with the number of children.
Twenty four divided by five.
24 is the dividend and five will be the divisor
24/5
Now we have to write this in mixed fraction
[tex]4\frac{4}{5}[/tex]
Hence, if five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
To learn more on Division click:
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In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is
Answer:
17
Step-by-step explanation:
Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so
[tex]50 + x + x = 180[/tex]
[tex]50 + 2x = 180[/tex]
[tex]2x = 130[/tex]
[tex]x = 65[/tex]
This means angle b and C of the triangle ABC measure is 65.
External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.
This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so
[tex]32.5 + 65 + x = 180[/tex]
[tex]98.5 + x = 180[/tex]
[tex]x = 81.5[/tex]
Angle C is 81.5 as well so
[tex]81.5 + 81.5 = 163[/tex]
Find angle o
[tex]180 - 163 = 17[/tex]
8/3=12/n solve for n
Answer:
[tex]n=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]\frac{8}{3} =\frac{12}{n}[/tex]
Cross multiply.
8n=12(3)
8n=36
[tex]n=\frac{9}{2}[/tex]
I hope this helps!
pls ❤ and give brainliest pls
Answer: n = 9/2
Step-by-step explanation:
8/3 = 12/n
Now doing cross multiplication
8/3 = 12/n
8(n) = 12(3)
8n = 36
n = 36/8
n = 9/2
Therefore value of n is 9/2
Must click thanks and mark brainliest
What is the solution to this inequality?
-16x>-80
A. x < 5
O B. x>-5
O c. x<-5
O D. x>5
Answer:
A
Step-by-step explanation:
Divide both sides with -16. ALWAYS remember that if you divide any number with a negative number, this "< ≤ > ≥" symbols have to change to the opposite direction
In a 4-digit perfect square, the first two digits are the same, and the last two digits are also the same. What is the value of this 4-digit number?
Answer:
7744Step-by-step explanation:
Let the number is in the form of aabb.
We can put it as:
aabb = 11*(100a + b) = 11*(99a + a + b)The number is a perfect square so it must be divisible by 11.
It is divisible by 11 if (a + b) is divisible by 11..
On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.
Also, both a and b must be within (0,9) interval.
Considering the above conditions we have options:
a,b = 2,9 or 5,6 or 6,5 or 7,4The numbers are:
2299556666557744By testing we confirm only one of them is a perfect square:
7744SOMEONE HELP ME PLEASE
Answer:
Step-by-step on:ơ
Please help 15 points! And brainlist! Hurry I need help right now!
Answer: quadrant 1
Step-by-step explanation:
the triangle will make 5 360° rotations and then one 180° rotation. we know this because 1980/360=5.5
which one of the following has a terminating decimal expansion?
a.5/64
b.8/9
c.14/15
d.1/12
Answer:
b. 8/9
Step-by-step explanation:
step by step explanation
Answer:
A
Step-by-step explanation:
Because if you were to out each fraction into a calculator you see that b,c, and d have a never ending decimal. The only fraction that does end in option A, therefore ur answer is option a
What are the solutions to the system of equations?
{y=2x²−6x+3
{y=x−2
Answer:
x = 1, y = −1
x = 5/2, y = 1/2
Step-by-step explanation:
From the question given above, the following data were obtained:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
We can obtain the solutions to the equation as follow:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
Substitute the value of y in equation 2 into equation 1
y = 2x² − 6x + 3
y = x − 2
2x² − 6x + 3 = x − 2
Rearrange
2x² − 6x − x + 3 + 2 = 0
2x² − 7x + 5 = 0
Solve by factorization
Obtain the product of 2x² and 5. The result is 10x².
Find two factors of 10x² such that their sum will result to −7x.
The factors are −2x and −5x.
Replace −7x in the equation above with −2x and −5x as shown below:
2x² − 2x − 5x + 5 = 0
2x(x − 1) − 5(x − 1) = 0
(x − 1)(2x − 5) = 0
x − 1 = 0 or 2x − 5 = 0
x = 1 or 2x = 5
x = 1 or x = 5/2
Substitute the value of x into equation 2 to obtain y
y = x − 2
x = 1
y = 1 − 2
y = −1
x = 5/2
y = x − 2
y = 5/2 − 2
y = (5 − 4)/2
y = 1/2
SUMMARY:
x = 1, y = −1
x = 5/2, y = 1/2
Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2
alright I can help!
so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.
3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)
now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a
so now we just plug in our variables.
x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3
x= (-2+-8)/6
now we just seperate the equations so that we have the two roots. and then just solve!
x= (-2-8)/6 -> x= -5/3
x= (-2+8)/6 -> x=1
hope this helps! best wishes and best of luck!!
The perimeter of a rectangle is 56 feet and
its area is 192 square feet. What are the
dimensions of the rectangle?
Answer:
Step-by-step explanation:
P = 2(L + W)
Area = L*W
Area = 192
(L + W)*2 = 56
L+W = 28
L = 28 - W
W*(28 - W) = 192
28W - w^2 = 92
-w^2 + 28w - 192 = 0
w^2 - 28w + 192 = 0
This factors into
(w - 12)(w - 16) = 0
w - 12 = 0
w = 12
L = 28 - 12 = 16
The figure shown to the right is an isosceles triangle, and
R is the midpoint of PS.
The fig
labeled
A. Explain when it is appropriate to use the statement PT TS.
P
R
S
B. Explain when it is appropriate to use the statement PT = TS.
Answer:
We know that an isosceles triangle has 2 of its sides being equal
With R, being the midpoint of PS, we can say that
PR=RS
Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles
Step-by-step explanation:
therefore angle at P is 45°. Angle at S also 45°
Therefore PT = TS
This is because T is 45 degrees as well as P which is also 45 degrees
angle in triangle PTS is 180 degrees
R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)
please help. only need to do part b
Which composite function can be used to find the
force of the object based on its volume?
The density of titanium is 4.5 g/cm3. A titanium object
is accelerating at a rate of 800 cm/s2. The mass of
the object can be modeled by the function m(v) =
4.5v, where v is the volume in cubic centimeters.
Additionally, the force of the object can be found
using the function F(m) = 800m.
A. F(m(v)) = 177.8V
B. F(m(v)) = 795.5v
C. F(m(v)) = 804.5v
D. F(m(V)) = 3,600V
Given:
The mass function is:
[tex]m(v)=4.5v[/tex]
where v is the volume in cubic centimeters.
The force function is:
[tex]F(m)=800m[/tex]
To find:
The composite function can be used to find the force of the object based on its volume.
Solution:
The composite function can be used to find the force of the object based on its volume is:
[tex]F(m(v))=F(4.5v)[/tex] [tex][\because m(v)=4.5v][/tex]
[tex]F(m(v))=800(4.5v)[/tex] [tex][\because F(m)=800m][/tex]
[tex]F(m(v))=3600v[/tex]
Therefore, the correct option is D.
Answer: F(m(v)) = 3,600v
Step-by-step explanation:DDDD
Solve for the value of n.
n =
Answer:
136+(4n-8)=180
136+4n-8=180
4n+128=180
4n=52
n=13
Step-by-step explanation:
please mark me as brainliest
helpppppppp will mark brainlest
Answer:
-8
Step-by-step explanation:
what do you think, when you look at the examples given in the problem definition ?
don't you see the pattern, that f(x) = x+2 ?
f(1) = 1+2 = 3
f(2) = 2+2 = 4
f(3) = 3+2 = 5
so, if we follow this assumption, then
f(-10) = -10 + 2 = -8
Which property does the following statement illustrate? (a+b)c = (b+a)c
A: associative
B: Commutative
C: Identity
D: None
find the missing side
Answer:
x ≈ 13.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )
40 × cos70° = x , then
x ≈ 13.7 ( to the nearest tenth )
Fill in the missing number in the equation.
Drop down answers: -2, 8, 15, or It is not possible to find the answer
9514 1404 393
Answer:
8
Step-by-step explanation:
The matrix being multiplied is the same in all cases, so we can "collect terms" in the usual way.
3A +5A = (3+5)A = 8A . . . . . . where A represents the 2×2 matrix
The missing number is 8.
which statement is true
You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements?
Answer:
1
Step-by-step explanation:
Once you have two sides and the included angle, there is only one triangle.
Answer: 1
Answer:
The answer is B. 1
Step-by-step explanation:
I hope I helped
16x + 90 = 2 ( 10x + 5 ) answer
Answer:
x = 20
Step-by-step explanation:
[tex]16x+90=2(10x+5)\\\\16x+90=20x+10\\\\90=4x+10\\\\80=4x\\\\20=x[/tex]
Ian drives an electric car. He can drive 425 kilometres before he needs to stop and recharge his car. It takes 10 minutes to charge 50 kilometres. How long does Ian have to wait for his car to fully charge?
Answer:
85 minutes
Step-by-step explanation:
425/50=8.5 10 minute increments
8.5*10= 85 minutes
Please help me out with my maths I would really appreciate it
Answer:
a.
1. The rule in this sequence is (+5) every next pattern
2. 22, 27, 32, 37
3. 42
4. 12 term
5. 67
b.
1. The rule in this sequence is (-3) every next pattern
2. -7, -10, -13, -16
3. -16
4. 13 term
5. -37
Step-by-step explanation:
Answer:
I'm not sure about the answer.
a.
1. The rule in this sequence is (+5) every next pattern
2. 22, 27, 32, 37
3. 42
4. 12 term
5. 67
b.
1. The rule in this sequence is (-3) every next pattern
2. -7, -10, -13, -16
3. -16
4. 13 term
5. -37
Hope this helps you ^^
Question: "If y > 3, what is the value of n ?"
Answer:
y-3
Problem:
What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?
Step-by-step explanation:
Dividend=quotient×divisor+remainder
So we have
xy-3=(x-1)×(y)+remainder
xy-3=(xy-y)+remainder *distributive property
Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.
We need to get rid of minus y so we need plus y in the remainder.
We also need minus 3 in the remainder.
So the remainder is y-3.
Let's try it out:
xy-3=(xy-y)+remainder
xy-3=(xy-y)+(y-3)
xy-3=xy-3 is what we wanted so we are done here.
see question in image
Answer:
b) 1/9Step-by-step explanation:
Rolling two dice, there are 6*6 = 36 outcomes
The outcomes with the difference of 4:
1&5, 2&6, 6&2, 5&1 - total of 4Required probability:
P = 4/36 = 1/9Correct choice is b
what should be added to 4.289 to get 11
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{We do not know the unknown number just yet so we will label it}\\\large\text{as the variable of \boxed{\bf n}}\large\text{ until we find the result of the unknown}\\\large\text{number}[/tex]
[tex]\large\text{So, your equation is now: \underline{\underline{n + 4.289 = 11}} or \underline{\underline{4.289 + n = 11}}}[/tex]
[tex]\large\textsf{n + 4.289 = 11}\\\large\text{SUBTRACT \underline{4.289} to BOTH SIDES}\\\large\text{n + 4.289 - 4.289 = 11 - 4.289}\\\large\text{CANCEL out: 4.289 - 4.289 because that gives you 0}\\\large\text{KEEP: 11 - 4.289 because that helps you get the n-value}\\\large\text{SIMPLIFY ABOVE AND YOU HAVE YOUR RESULT}\\\large\text{n = \bf 6.711}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \bf 6.711}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Let the number which should be added is x
ATQ
[tex]\\ \sf\longmapsto x+4.289=11[/tex]
Take 4.289 to right[tex]\\ \sf\longmapsto x=11-4.289[/tex]
[tex]\\ \sf\longmapsto x=6.711[/tex]
6.711 should be added to 4.289 to get 11
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable?
A. the amount of miles Larry drives
B. the type of roads Larry drives on
C. the type of car Larry drives
D. the amount of gasoline Larry uses