Answer:
The employees will work for 1 hour, will earn $5 per hour and will be paid $5
Step-by-step explanation:
System of Equations
The number of hours the employees work is x.
And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation
10y-30x=20
The business owner states that the employees should be paid a wage given by the equation
6y+30x=60
Adding both equations we have:
16y = 80
Dividing by 16:
y = 80/16 = 5
Substituting into the first equation:
10*5-30x=20
Operating and simplifying:
50-30x=20
50 - 20 = 30x
30x = 30
x = 30/30 = 1
Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5
Rotate the given figure about the origin using the given angle.
Answer:
P’(-5,2)
J’(0,3)
M’(1,2)
Y’(-4,0)
Step-by-step explanation:
when we rotate 90 degrees clockwise, we have that;
(x,y) becomes (-y,x)
Let us get the coordinates before rotation
P (2,5)
J( 3,0)
M ( 2,-1)
Y (0,4)
After the rotation, we have;
P’(-5,2)
J’(0,3)
M’(1,2)
Y’(-4,0)
Answer:
P’(-5,2)
J’(0,3)
M’(1,2)
Y’(-4,0)
Step-by-step explanation:
Cory went to Kohl's and bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for d dollars each. He spent a total of $135.97. Write an equation to find the cost of one pair of shoes.
Answer:
[tex]25+3d=135.97[/tex]
Step-by-step explanation:
Number of pairs of socks = 10
Cost of each pair of socks = $2.50
Cost of 10 pairs of socks = 10 × 2.50 = $25
Number of pairs of shoes = 3
Cost of each pair of shoes = $d
Cost of d pair of shoes = $3d
Therefore,
[tex]25+3d=135.97[/tex]
So,
Equation is [tex]25+3d=135.97[/tex]
Please help me:) this is due by tonight!
Answer:
[tex]Solution,\\Here,\\Slope~of~line~y=\frac{2}{3}x+19, m_1=\frac{2}{3} \\Let~slope~of~line~passing~through~(6,2)~and~parallel~to~ y=\frac{2}{3}x+19~be~m_2.\\Using~condition~of~parallel~lines,\\m_1 = m_2\\or, m_2 = \frac{2}{3} \\Now,\\The~eq^n~of~a~line~passing~through~(6,2)~and~having~slope~\frac{2}{3}~is~given~by:\\y-2=\frac{2}{3} (x-6)\\or, 3y-6 = 2x-12\\or, 2x-3y = 12-6\\or, 2x-3y=6~is~the~required~equation[/tex]
need help math please
Answer:
80
Step-by-step explanation:
Rounding to the nearest tenth, we get:
100, 80, 40, 90, 80, 100, 90, 90, 80, 80, 80
Number no. of times
100 2 80 5 40 1 90 380 occurs 5 times (most of the times) so, 80 will be the mean.
HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
And electrician needs 2 rolls of electrical wire to wire each room in a house how many rooms can he wire with 3/4 of a roll of wire
Answer:
3/8 room
Step-by-step explanation:
Given data
We are told that 2 rolls of wire are needed to wire 1 room
Hence if 1 room needs 2 rolls
x rooms will need 3/4 rolls
cross multiply we have
2x= 3/4
Multiply both sides by 1/2
x= 3/4*1/2
x= 3/8 room
Which is equivalent to the square root
Step-by-step explanation:
[tex] { \sqrt[3]{8} }^{ \frac{1}{4}x } = {2}^{ \frac{1}{4} x} = {8}^{ \frac{1}{3} \times \frac{1}{4}x } \\ = {8}^{ \frac{1}{12} x} \\ = { \sqrt[12]{8} }^{x} [/tex]
How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution
Answer:
19% alcohol solution = 65 ounces
37% alcohol solution = 25 ounces
Step-by-step explanation:
Let
19% alcohol solution = x
37% alcohol solution = y
x + y = 90 (1)
0.19x + 0.37y = 90*0.24
0.19x + 0.37y = 21.60 (2)
from (1)
x = 90 - y
Substitute into (2)
0.19x + 0.37y = 21.60
0.19(90-y) + 0.37y = 21.60
17.1 - 0.19y + 0.37y = 21.60
- 0.19y + 0.37y = 21.60 - 17.1
0.18y = 4.5
y = 4.5/0.18
y = 25 ounces
x + y = 90 (1)
x + 25 = 90
x = 90 - 25
x = 65 ounces
Mr. Sloan leaves his house at 8:30. It takes 50 minutes to get to Boston airport. There were a 45 minute delay. It will take 5 hour and 10 minutes for the trip to Salt lake. What time will Mr. Sloan arrive in Salt Lake
Answer:
15:15
Step-by-step explanation:
The time he would get to salt lake is the sum of all the times
8: 30 + 45 min + 50 min + 5:10
to find the time, add only the minutes : 30 + 45 + 50 + 10 = 135 minutes
Remember 60 mins = 1 hour
so 135 mins = 2 hours 15 minutes
Now add the hours
8 + 5 = 13 hours
13 hours + 2 hours 15 minutes = 15:15
any smart people wanna help me
Answer:
B. 3x + 60
Step-by-step explanation:
Which of these graphs represents a function?
Answer:
I believe it would be graph Z :)
Step-by-step explanation:
Answer:
it’s graph x
Step-by-step explanation:
vertical line test, put a vertical line through the graph, if it touches more than 1 point(2 or more) it’s not a functions
Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 5
Answer:
Angle 8 is 100 degrees.
Step-by-step explanation:
Corresponding angles (angles on the same spot in the transversal) are equal to each other. For example angle 2 will be equal to angle 6.
If f(x) = 2x² – 2, what is the value of f(2)?
A 6
(в
10
C 14
D 62
Answer:
c
Step-by-step explanation:
PLEASE HELP ME WITH THIS IM SO STUCK
a. multiply both sides with 11
[tex]\\ b=66[/tex]
if we multiply both sides by 11 it cancels out leaving us with the variable on one side of the equation making the answer b=66
What is 1/3x1/3x1/3 in exponents
Answer:
i came up with to awnsers depending on what you need
Step-by-step explanation:
if it is positive exponents then
1
3
⋅
(
x
(
1
3
)
)
⋅
(
x
(
1
3
)
)
if negative
1
27
x
−
1
x
−
1
The simplified expression 1/3 * 1/3 * 1/3 as exponents is 1/3³
How to simplify the expression as exponentsFrom the question, we have the following parameters that can be used in our computation:
1/3 * 1/3 * 1/3
Express as equation
Result = 1/3 * 1/3 * 1/3
Apply the law of indices
So, we have the following representation
1/3 * 1/3 * 1/3 = 1/3¹⁺¹⁺¹
Evaluate the sum
1/3 * 1/3 * 1/3 = 1/3³
Using the above as a guide, we have the following:
The expression cannot be further simplified
Hence, the simplified expression is 1/3³
Read more about expressions at
brainly.com/question/30492964
#SPJ6
Charlie watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 2 5 of the movie left to watch. How much of the movie did Charlie watch at night?
Answer: 4/15 of the movie
Step-by-step explanation:
In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.
At the end of the day, he still had ²/₅ of the movie to watch.
The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.
¹/₃ + ²/₅ + x = 1
x = 1 - ¹/₃ - ²/₅
[tex]x = \frac{15 - 5 - 6 }{15} \\\\x = \frac{4}{15}[/tex]
How do you do 20/4 divided by 8/9 and put it in simplest form?
Answer:
45/8, or 5.625
Step-by-step explanation:
20/4 is simplified to 5/1.
5/1 divided by 8/9
5/1 * 9/8
45/8
simplified to 5.625
Answer:
45/8 or 5 5/6.
Step-by-step explanation:
20/4 / 8/9 We invert the second fraction and multiply:
= 20/4 * 9/8
= 180 / 32
= 45/8
= 5 5/8.
PLEASE HELP ME I WILL GIVE BRAINLIEST
Answer:
C. x = 12
Step-by-step explanation:
The equation simplifies to [tex]\frac{5}{6} x + 4 = x + 2[/tex]. This can further simplify to [tex]-\frac{1}{6}x = -2[/tex]. Divide both sides by [tex]-\frac{1}{6}[/tex] to get [tex]x = 12[/tex].
Hope it helps!
find the factors of (2y+1/3)^2- (3y+1/2)^2 pls reply fast!!!
PLEASE HELP!
Verify that f and g are inverses functions using composition , show your steps
Answer: We can conclude that f(x) and g(x) are not inverses.
Step-by-step explanation:
If we have two functions:
f(x) and g(x)
These functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
In this case, we have:
f(x) = 12*x - 12
g(x) = (1/12)*x - 1
Now we need to check the compositions:
f( g(x) ) = 12*g(x) - 12 = 12*( (1/12)*x - 1) - 12 = (x - 12) - 12 = x - 24
and:
g( f(x)) = (1/12)*f(x) - 1 = (1/12)*(12*x - 12) - 1 = 12*x/12 - 12/12 - 1 = x - 1 - 1 = x - 2
In both cases, we can see that:
f( g(x) ) ≠ x
and:
g( f(x) ) ≠ x
Then we can conclude that f(x) and g(x) are not inverses functions.
Here, thankyou!!!!!!!
Answer:
Perimeter of i - 22CM
Area of i - 13CM^2
Perimeter of ii -38CM
Area of ii -66CM^2
Perimeter of iii -30CM
Area of iii- 42CM^2
Perimeter of iv - 50CM
Area of iv- 126CM^2
Step-by-step explanation:
SHAPE I:
PERIMETER = S + S + S + S + S +S
= 7 + 1 + 5 +3 +4 +2
= 22CM
AREA = Part a - 4 * 2 = 8cm^2 part B - 5 *1 = 5cm^2
Total = 8 + 5 = 13cm^2
SHAPE II:
PERIMETER = S + S + S + S + S +S
= 4 + 4 +5 + 6 + 9 + 10
= 38 CM
AREA = Part a - 5 * 10 = 50 cm^2 part B - 4 *4 =16 cm^2
Total = 50+16 =66 cm^2
SHAPE III:
PERIMETER = S + S + S + S + S +S
= 9 + 2 + 3 + 4 + 6 + 6
= 30CM
AREA = Part a - 6 * 6 = 42cm^2 part B - 3 * 2= 6cm^2
Total = 36 + 6 =42 cm^2
SHAPE IV:
PERIMETER = S + S + S + S + S +S
= 9 + 10 + 4 + 6 + 6 + 15
= 50 CM
AREA = Part a -15 * 6 = 90 cm^2 part B - 9 *4 = 36cm^2
Total = 90 + 36 = 126cm^2
HOPE THIS HELPED
I need help please-
Answer:
144x^22y^16
Step-by-step explanation:
The price of an item yesterday was $140. Today, the price fell to $119. Find the percentage decrease.
Answer:
-15%
Step-by-step explanation:
Solve:
Q1) 22
- 2 – 20 < 0
Answer:0<0
Step-by-step explanation: hope i helped
Answer:
22−2−20<0
0≮0
False
Step-by-step explanation:
Sophie is planting a circular garden with a 7-foot radius. What is the circumference of Sophia's garden? Use 22/7 for /pi. Enter the correct answer in the box.
[tex]\pi[/tex]
Answer:
154 sq ft
Step-by-step explanation:
Area = pi * r^2 with radius r
A = pi * r^2 = 22/7 * 7^2 = 22 * 7 = 154 sq ft
Kevin says it will take him less than 1 hour to do homework and play soccer is he correct? Explain
A math textbook has a mass that is 400 grams greater
than a science textbook. If the science textbook has a
mass of 2 kilograms, what is the mass of the math
textbook, in kilograms?
Answer:
0.8
Step-by-step explanation:
because 400g = 0.4kg
and 0.4kg x 2 = 0.8
hope this helped :)
Please- I will give BRAINLIEST:)
Answer:
D
Step-by-step explanation:
Answer:
A rotation doesn't change side length so I think it would be = to AB so 7
Step-by-step explanation:
four rulers and three pencils cost £2.15
three rulers and four pencils cost £2.05
work out the cost of a ruler and the cost of a pencil
Answer:
4r + 3p = 2.15
3r + 4p = 2.05
I have no idea.......
what's the area of this parallelogram?
Answer:
Letter B. sir
Step-by-step explanation:
pls give me a brainly
Answer:
A.16.5 if that’s incorrect try b.33
Step-by-step explanation:
The formula is: A = B * H where B is the base, H is the height, and * means multiply.
it may be wrong I’m not sure but 30 * 11 is 330 divded by 2 is 16.5
What is the area of a rectangle that is 1/2 feet long and 2/3 feet wide?
Hint: Put the fraction into simplest form!
Question 1 options:
3/5
1/3
2/6
Answer:
1/3
Step-by-step explanation:
( 1/2) (2/3) = 2/6 = 1/3
Answer:
1/3
Step-by-step explanation:
I'm good at math, Sorta TnT