Based on the fact that both workers received the same number of hours, the minimum number of hours that each employee will be assigned is 60 hours.
What is the minimum assigned hours?One worker gets 15 hours shifts and the other gets 6 hour shifts.
If they will have the same number of working hours, the minimum number of hours for these workers will be the lowest common multiple of 6 and 15.
Multiples of 15:
15, 30, 45, 60, 75Multiples of 6:
6, 18, 30, 42, 60, 72The minimum number of hours is therefore 60 hours.
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Answer: 60
Step-by-step explanation:
LCM of 6 & 15
15
-------------
15
30
45
60
75
90
105
6
---------
6
12
18
24
30
36
42
48
54
60
LCM of 6 & 15 is 60
If m∠FDE = (3x−15)° m∠FDE = 3x-15° and m∠FDB = (5x+59)°, find the value of x such that ∠FDE and ∠FDB are supplementary.
The value of x is x = 18.25
How to determine the value of x?The angles are given as
m∠FDE = 3x-15° and m∠FDB = (5x+59)°
The angles are supplementary angles
FDE + FDB = 180
This gives
3x - 15 + 5x + 59 = 180
Evaluate the like terms
8x = 146
Divide by 8
x = 18.25
Hence, the value of x is x = 18.25
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Round to the nearest tenth of a percent ________% of 8 gross is 0.04 gross.
Select one:
A. 50.0
B. 0.5
C. 200.0
D. 5.0
Answer:
B. 0.5
Step-by-step explanation:
0.04 ÷ 8 = 4/800
4/800 = 1/200 = 0.5
Please help with this assignment
The equation that can be used to determine the cost of one drink is 2x = 6.09
The sum of the prices for the movie tickets, refreshments, and voucher represents the total sum that Stephen and Paul will be required to pay.
Therefore,
The total amount paid is equal to the cost of two tickets + cost of the two drinks - coupon
So,
( 11 × 2 ) + ( x × 2 ) - 5 = 29.18
22 + 2x - 5 = 29.18
Subtracting 22 from each side of the equation.
22 + 2x - 5 - 22 = 29.18 - $22
2x - 5 = 7.18
Adding 5 on each side of the equation.
2x - 5 + 5 = 7.18 + 5
2x = 12.18
Now, divide each side of the equation by 2.
x = 6.09
Hence, the cost of one drink is $6.09
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Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha bought is 3/5 of the number of red balloons. The number of green balloons is also 2/3 of the number of yellow balloons.While being inflated, 1/20 of the red balloons, 1/12 of the green balloons, and 1/36 of the yellow balloons popped. The remaining balloons were used as party decorations. What part of all the balloons Marsha purchased to decorate the party?
I really need to get this done. I'll mark brainliest.
A)Draw the image of under the dilation with scale factor 3 and the origin as the center of dilation. Label the image . Make sure to include the coordinates of A’, B’, and C’.
B)Draw the image of under the dilation with scale factor and the origin as the center of dilation. Label the image . Make sure to include the coordinates of D’, E’, and F’.
The image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.
Using dilation rules, the dilated triangle is given at the end of the answer. The coordinates of the vertices are as follows:
A'(-6,6), B'(-3,0), C'(3,6).
The rule of the dilation is to dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:
(x,y) -> (ax, ay).
The coordinates of the vertices of ABC are given as follows:
A(-2,2), B(-1,0), C(1,2).
After a dilation with a scale factor of 3, the coordinates of the vertices of A'B'C' will be given as follows:
A'(-6,6), B'(-3,0), C'(3,6).
These coordinates are derived multiplying the coordinates of A, B and C by 3.
The image of the triangle is given at the graph at the end of the answer.
Hence, for the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.
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Geometry homework… the questions after the photo are “9. Find the value of angle RIG” and “10. Find the value of angle ZIM” If you can seriously help me it would mean a lot. Thanks
Applying the vertical angles theorem, we have:
x = 29
z = 13
How to Apply the Vertical Angles Theorem?Based on the vertical angles theorem, the vertical angles AIZ and GIM are congruent to each other.
Therefore:
7. m<AIZ = m<GIM
Substitute
3x - 56 = x + 2
3x - x = 56 + 2
2x = 58
x = 29
8. 4z + 7 + x + 2 = 90 (complementary angles)
Plug in the value of x
4z + 7 + 29 + 2 = 90
4z + 38 = 90
4z = 90 - 38
4z = 52
z = 52/4
z = 13
Therefore, applying the vertical angles theorem, we have:
x = 29
z = 13
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What is the answer to 8.118 divided by 0.615
Answer:
13.2
Hope this helps :)
Step-by-step explanation:
8.118 ÷ 0.615 = 13.2
You can also solve it by using long division.
Check:
13.2 × 0.615 = 8.118 ✓
Question 3 !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 0.6
:) hope this helps you
Answer:
0.6
Step-by-step explanation:
[tex]{ \tt{ \frac{3}{5} }} \\ [/tex]
Multiply the numerator and denominator by 2;
[tex] = { \tt{ \frac{3 \times 2}{5 \times 2} }} \\ \\ = { \tt{ \frac{6}{10} }} \\ \\ = 0.6[/tex]
A hospital received a shipment of 11 mg doses of medicine. Each 11 mg package was repackaged into two smaller doses of unequal size and labeled packet A an B. The hospital then used 4 doses of packet A and 11 doses of packet B in one week. The hospital used a total of 148mg oh medicine. How many mg of medicine are contained in each A packet and B packet
In linear equation, A = - 27/7 and B = 140/7 are mg of medicine are contained.
What in mathematics is a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Let one dose be x.
Other does will be 11 - x ............ y
4x + 11 ( 11 - x) = 148
4x + 121 - 11x = 148
-7x = 148 - 121 = 27
x = - 27/7
y = 140/7
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Write a slope-intercept equation for a line that passes through (-2,1) and (2,-7).
Answer:
y = -2x -3
Step-by-step explanation:
slope intercept form: y=mx+b
find slope or m:
m= y2-y1 / x2-x1
after plugging in values.. u get..
m= -2
further plug in one point in the slope intercept form.
you get ...
b= -3
Final plug into equation:
y = -2x -3
in a classroom there are 56 boys and 72 girls, find the ratio of girls to the total number of students.
Answer: [tex]\frac{9}{16}[/tex]
Step-by-step explanation:
We need to find the ratio of girls to the total number of students. That means our ratio is going to be 72 (the number of girls) over 56+72 (boys + girls, the total number of students).
When you add 56+72, you'll get 128 in the denominator. Continuing to simplify the fraction, you'll end up with:
[tex]\frac{72}{128}[/tex] = [tex]\frac{9}{16}[/tex]
Depending on what format your teacher wants, this can be written as [tex]\frac{9}{16}[/tex] or 9:16.
(5x-17)+(3x-11)=180 degrees
Step-by-step explanation:
5x+3x-17°-11°=180°
8x-28°=180°
8x=180°-28°
8x=152°
[tex] \frac{8x}{8} = \frac{152}{8} \\ x = 19[/tex]
Answer:
x=26
Step-by-step explanation:
since we are adding, you start by combining like terms. x's with x's and #'s with #'s. that leaves you with 8x-28=180. Your next step is to get x all by itself so you move the -28 to the other side by adding 28 to both parts. that leaves you with 8x=208. now you still have to get x by itself and right now its being multiplied with the 8 so to get rid of it you divide by 8 on both sides and that leaves you with x=26.
-5x-4=7(-7-7x)-x what would be the solution for x? and what steps would I use to solve it
the answer to x=45/45, x=1 We employ the factorization method in this.
What is the method of factorization?Factorization, also known as factoring, is the mathematical process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication yields the original number, matrix, etc. You will mostly learn this idea in your lower secondary classes from grades 6 to 8.
based on the provided statement
How would I approach solving it?
-5x-4=7(-7-7x)-x
-5x-4=-49-49x-x
49-4=-49x-x+5x
45=45x
so x=45/45
x =1
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Find f(- 3), f(0) and f(3) for the following function.
f(x) = 3x
f(- 3) = ?
For f(x)= 3x required values of the function are f(-3)=-9, f(0)=0, f(3)=9
What is the value of a function?
A function gives exactly one output to each input . f(2) means that we should find the value of our function when x equals 2. f(x) is the value of the function
Given function is f(x)= 3x
Then f(-3) = 3(-3) =-9
f(0) = 3(0) =0
f(3) = 3(3) =9
Therefore, values of the function at x = -3,0,3 are -9,0,9 respectively
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The slope of line a is 7. The slope of line b is −1/7 .
Which statement is true?
Options:
The lines are neither perpendicular nor parallel
The lines are perpendicular.
The lines are parallel.
Answer:
Step-by-step explanation:
We know that, If two line are perpendicular to each other wit slopes [tex]m_{1}[/tex] and [tex]m_{2}[/tex] them [tex]m_{1} *m_{2}=-1[/tex]
Hence,
[tex]7*(-1/7)=-1[/tex]
This shows that these two line are perpendicular to each other.
A bicycle is traveling at 18 miles per hour. How many feet will it cover in 40 seconds? Round your answer to the nearest tenth of a foot.
Answer:
720 miles
Step-by-step explanation:
18×40=70 is all you need to do
-3x-p>0 solve the inequality for x
Work Shown:
-3x-p > 0
-p > 3x
3x < -p
x < -p/3
D. Highway I-10 is having an extension added
on. It will then be 3,000 miles long. How long
is the extension?
I-10 2,460
The extension of the distance applied on the road is 540 miles.
According to the statement
We have to find that the length of the extension.
So, For this purpose, we know that the
The distance of an object can be defined as the complete path travelled.
From the given information:
Highway I-10 is having an extension added on. It will then be 3,000 miles long. How long is the extension? I-10 2,460
Then
From the given information,
Length of road after extension is = 3,000 miles
Length of road before extension is = 2,460 miles
Then
extension applied on the road = Length of road after extension - Length of road before extension
extension applied on the road = 3000 - 2460
extension applied on the road = 540.
So, The extension of the distance applied on the road is 540 miles.
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At the beginning of the month, you have $1500 in your bank account. Each time you visit the ATM you take $60 out of your account. Last month you lent your friend $50.
What is the rate at which your balance is changing each time you visit the ATM?
The required expression of the rate at which the balance is changing each time is 1450 - 60x, where x is the number of visits to the ATM.
Here,
At the beginning of the month, you have $1500 in your bank account.
Each time you visit the ATM you take $60 out of your account.
Rate of money out = 60x, where x is the number of times atm visit.
Last month you lent your friend $50.
Money left = 1500 - 50 - 60x = 1450 - 60x
Thus, the required expression of the rate at which the balance is changing each time is 1450 - 60x, where x is the number of visits to the ATM.
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let's consider an economy in which firms spend $125 on machinery used in production and home buying totals $200. in addition, people buy $20 in stocks and bonds and businesses add $70 to their inventories.
given this information, calculate economic investment.
The economic investment will be $415.
How to calculate the investment?It should be noted that an investment is simply used to generate further wealth.
Therefore, the investment will be the addition of the values given. This will be:
= $125 + $200 + $20 + $70
= $415
Therefore, the economic investment will be $415.
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Hello,
Do these look correct?
3. Given: f(x) = [(3)^-x ] – 2. Find f(-2).
[3^-(-2)] - 2 = 9 - 2 = 7
f (-2) = 7
4. Given h(x) = 4 * 5^(x - 2) – 3. Find h(4).
4 *5^(4-2) - 3 = 4*5^2 - 3 = 4*25 -3 = 97
h(4) = 97
Thank you so much
Answer:
Yes they do :)
(o´▽`o)ﾉ x
Determine the ammount of fence needed to enclose a rectangular garden with length 19 feet and width 13 feet
Answer: 64 feet of fence
Step-by-step explanation:
To find the amount of fence needed, calculate the perimeter of the garden
P=perimeter of rectangle. l=length. w=width
P=2l+2w
P=2(19)+2(13)
P=38+26
P=64 feet
The circle below, centred at O, has a radius of 12 cm.
BC = 7 cm.
Work out the length x to 1 d.p.
Fully justify your answer.
Answer:
i am not sure about my answer
the prime factorization for 2020 is 2^2 x5^1 x 101^1. How many different whole numbers are factors of 2020?
There are three different whole numbers are factors of 2020.
What is Prime factorization ?
Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors. As we know, a composite number has more than two factors, therefore, this method is applicable only for composite numbers and not for prime numbers.
Prime factors of 2020 = 2,2,5,101
different whole numbers are = 2,5,101
As these three numbers are prime numbers, these are the different whole numbers for 2020.
Therefore, there are three different whole numbers are factors of 2020.
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<(1,000)
5. 1 × 1 + 9 × (1) + 8 ×(₁0) + 1 ×
Answer:
3
Step-by-step explanation:
Syop doing homework and gdt a life
Eduardo, Martin, & Becky each saved $150 from
their summer jobs. They have decided to donate
a portion of their savings to a charity. Eduardo
donated 2/7 of his savings, Martin gave 2/9, &
Becky donated 2/5. To the nearest penny, how
much should the charity expect?
A. $33.33
B. $42.86
C. $60.00
D. $136.19
E. $180.00
Step-by-step explanation:
much should the charity expect?
A. $33.33
B. $42.86
C. $60.00
D. $136.19
E.
The charity expects a donation of D. 136.19 dollars from Eduardo, Becky, and Martin.
What is a fraction?Fractions describe how many parts of something is there to the total part.
To obtain how much each individual donated we have to multiply the fraction of donation to the amount of money they saved and take the sum.
Eduardo donated 2/7 of his savings which is (2/7)×150 dollars.
= 42.85 dollars.
Martin donated 2/9 of his savings which is (2/9)×150 dollars.
= 33.33 dollars.
Becky donated 2/5 of his savings which is (2/5)×150 dollars.
= 60 dollars.
∴ The total money they donated is ( 42.85 + 33.33 + 60 ) dollars.
= 136.18 dollars.
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250.12+16.8÷1.2 please tell me
Answer:
hello the asnwer is 264.12hello the asnwer is 264.12Step-by-step explanation:hello the asnwer is 264.12Step-by-step explanation:first we will put 16.18÷1.2 in brackets so it will be 250.12+( 16.8/1.2). we will work out the brackets so : 250.12+14hello the asnwer is 264.12Step-by-step explanation:first we will put 16.18÷1.2 in brackets so it will be 250.12+( 16.8/1.2). we will work out the brackets so : 250.12+14then simply add the two numbers and the answer is 264.12. hope it helps!!
Find the equation of the graph
Find the average rate of change from x = 5 to x = 7
Answer: y=-(x-6)(x-8)
Average rate of change: 2
Step-by-step explanation:
Graph facing downward, so equation is negative
Since the equation is quadratic, the degree is 2.
When you look at the graph, you see the values of x when y=0
x=6 ==> y=0
x=8 ==> y=0
Equation: y=-(x-6)(x-8) ==> add the negative sign to show the equation is going down.
x=5 ==> y=-3 ==> (5, -3)
x=7 ==> y=1 ==> (7, 1)
Slope formula: m=(y2-y1)/(x2-x1)
m=(1-(-3))/(7-5)
m=(1+3)/(2)
m=4/2
m=2 ==> average rate of change
Dot arranges flowers into vases of roses and daisies. If there are 100 roses and 60 daises. what is the greatest number number of flowers in each group?
Taking into account the greatest common divisor, the greatest number of flowers in each group is 20.
Greatest common divisorThe greatest common divisor is the largest number that exactly divides two or more numbers at the same time.
To calculate the greatest common multiple, follow these steps:
Decompose each number into prime factors (numbers that are only divisible by themselves or by the number 1).Next, the factors common to the numbers are chosen.Next, in each of the commons, the factor with the smallest exponent is chosen.Finally, the chosen factors are multiplied.In summary, the common factors (those that are repeated) are multiplied with their smallest exponent.
Greatest number of flowers in each groupIn this case, there are 100 roses and 60 daises. To calculate the greatest number of flowers in each group, you have to calculate greatest common divisor.
Decomposing each number into prime factors:
100= 2×2×5×5= 2²×5²60= 2×2×3×5= 2²×3×5The greatest common divisor between 60 and 100 is calculated as 2²×5, which results 20.
This means that the greatest number of flowers in each group is 20.
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Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
Complete the inequality below to describe the
range of the graph shown.
Range:
≤y <5
DONE
Intro
-5
5
y
5
X
Answer:
[tex]Domain: \;\boxed{-4 } < x \le 4\\\\Ramge: \boxed{-2} \le y < 5[/tex]
Step-by-step explanation:
Domain
Domain is the set of all valid x values for the function
Looking at the graph we see that the function x values go from x- 4 to x = +4.
Note the unfilled circle at x = -4, y = 5. This means that this point is not included in any set of values that we intend tp find. It will represent a < or > inequality.
A filled circle means that value is included
So the domain of the function is -4 < x ≤ 4 (note that -4 is not included in the domain
Range
The range is the set of all y values for the entire domain. Basically it is defined using the min and max values that y can take
The minimum y value occurs at x = 4 and y is -2 (this is included because of the filled circle)
The max value occurs at x = -4 and the value of y here is 5 (5 is not included)
Therefore the range is -2 ≤ y < 5
