Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.
Answer:
Hourly wage at the library = x = $7.5
Hourly wage at the coffee cart = y = $7
Step-by-step explanation:
Let
Hourly wage at the library = x
Hourly wage at the coffee cart = y
On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50.
Hence:
3x + 2y = 36.5.... Equation 1
On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50.
2x + 5y = 50...... Equation 2
Combining both Equations
3x + 2y = 36.5.... Equation 1
2x + 5y = 50...... Equation 2
We solve using Elimination method, Multiply Equation 1 by 2 and Equation 2 by 3 which are coefficients of x to eliminate x
6x + 4y = 73 .. Equation 3
6x + 15y = 150...... Equation 4
Subtract Equation 3 from Equation 4
11y = 77
y = 77/11
y = 7
Solving for x using Equation 2
2x + 5y = 50...... Equation 2
2x + 5 × 7 = 50
2x + 35 = 50
2x = 50-35
2x = 15
x = 15/2
x = 7.5
Therefore,
Hourly wage at the library = x = $7.5
Hourly wage at the coffee cart = y = $7
I NEED HELP I FORGOT HOW TO DO THIS AND I NEED HELP
-3x + 2<8
Answer:
x > -2
Step-by-step explanation:
-3x + 2 < 8
our goal is to isolate the x
subtract two from both sides
-3x < 8 - 2
- 3x < 6
divide both sides by -3
flip the sign because we divided by a negative number
x > -2
Which sequences of transformations will map circle
M onto circle N?
Answer:
1: Reflect M across the x-axis
2: Dilate about the center by 3/2
Step-by-step explanation:
Given
See attachment for M and N
Required
Which maps M to N
The coordinates of the radius of the circles are:
[tex]M = (5,5)[/tex]
[tex]N = (5,-5)[/tex]
And the radius of circles are:
[tex]r_M=2[/tex]
[tex]r_N=3[/tex]
The first transformation from M to M' is:
- Reflect across the x-axis
The rule is:
[tex](x,y) \to (x,-y)[/tex]
[tex]M(5,5) \to M'(5,-5)[/tex]
At this point, M' and N now have the same center but different radius.
The second transformation from M' to N is:
- Dilate about the center by dividing the radius of N by the radius of M
i.e.
[tex]k =\frac{r_N}{r_M}[/tex]
[tex]k =\frac{3}{2}[/tex]
At this point, M has been completely mapped to N.
Ayudaaaaa porfavor Convertir las unidades de medida 8 000 m = _______ km 4 000 g = _______ kg 3 000 m = ________ km 7 m = _________ cm 30 mm _________ cm 10 cm ________ mm 70 mm ___________ cm 10 L = ____________ ml 800 cm = _________ m 6 kg = __________ g
Answer:
a) [tex]x = 8\,km[/tex], b) [tex]x = 4\,kg[/tex], c) [tex]x = 3\,km[/tex], d) [tex]x = 700\,cm[/tex], e) [tex]x = 3\,cm[/tex], f) [tex]x = 100\,mm[/tex], g) [tex]x = 7\,mm[/tex], h) [tex]x = 10000\,mL[/tex], i) [tex]x = 8\,m[/tex], j) [tex]x = 6000\,g[/tex]
Step-by-step explanation:
a) 1 kilómetro equivale a 1000 metros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 8000\,m \times \frac{1\,km}{1000\,m}[/tex]
[tex]x = 8\,km[/tex]
b) 1 kilogramo equivale a 1000 gramos, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 4000\,g \times \frac{1\,kg}{1000\,g}[/tex]
[tex]x = 4\,kg[/tex]
c) 1 kilómetro equivale a 1000 metros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 3000\,m \times \frac{1\,km}{1000\,m}[/tex]
[tex]x = 3\,km[/tex]
d) 1 metro equivale a 100 centímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 7\,m \times \frac{100\,cm}{1\,m}[/tex]
[tex]x = 700\,cm[/tex]
e) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 30\,mm \times \frac{1\,cm}{10\,mm}[/tex]
[tex]x = 3\,cm[/tex]
f) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 10\,cm \times \frac{10\,mm}{1\,cm}[/tex]
[tex]x = 100\,mm[/tex]
g) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 70\,mm\times \frac{1\,cm}{10\,mm}[/tex]
[tex]x = 7\,mm[/tex]
h) 1 litro equivale a 1000 mililitros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 10\,L\times \frac{1000\,mL}{1\,L}[/tex]
[tex]x = 10000\,mL[/tex]
i) 1 metro equivale a 100 centímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 800\,cm \times \frac{1\,m}{100\,cm}[/tex]
[tex]x = 8\,m[/tex]
j) 1 kilogramo equivale a 1000 gramos, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:
[tex]x = 6\,kg\times \frac{1000\,g}{1\,kg}[/tex]
[tex]x = 6000\,g[/tex]
What is the distance between the points (7, -3) and (-5, 6)?
Answer:
The distance between the two points is: √145≈12.04 to 2 decimal places.
Step-by-step explanation:
If using a grid it will make the answer easier to solve.
Answer:
21units
12 units + 9 units
i need help please help asap
Answer:
Try 11
Step-by-step explanation:
11 -33+63-38=3
8 x 9 = 8 x(5+ _)
= (8 x 5) + (8 x _)
= 40 + _
= _
Answer:
B
Step-by-step explanation:
i hate math
*LOOK AT PICTURE FOR QUESTION*
F) 20.5 in
G) 14.74 in
H) 9.3 in
J) 10.1 in
Which is the graph of y = cos(x) + 3?
1
N
0
Answer:N
Step-by-step explanation:
what's the coefficient in the equation m-22
Answer:
that does not make sense ?????????????????????????????????????????
what is the answer of y=2x-6
The answer is x = y/2 + 3.
I hope this helps, have a great day!
Write the powerset of the following sets
a) {3,7,9}
b) {a,{ 1,2}}
c) {p,q,r,s}
PLEASE SOMEONE HELP AND NO LINKS OR UR GONNA GET REPORTED
Determine the value of x.
A.) 2\sqrt{6}
B.) 6\sqrt{2}
C.) 6\sqrt{3}
D.) 12
Answer: D) 12
Step-by-step explanation:
As you can see side A is 6 and side B is also 6 so side C must be 12
x + 23
5x + 13
please help
Answer:
x = 2.5 or 5/2.
Step-by-step explanation:
They're congruent angle, so set them equal to each other
5x + 13 = x + 23
Solve for x:
4x = 10
x = 10/4 = 5/2 = 2.5
Find the length of BC please
This poem is an example of which of the following? *
penguin
black, white
waddling, swimming, leaping
A tuxedo in cold water
Emperor
A. Sonnet
B. Cinquain
C. Haiku
D. Limerick
Answer:
a
Step-by-step explanation:
Which of the
following could define the function g? Explain your reasoning.
• Equation A: g(x) = 20 - (1.5)*
• Equation B: g(x) = 20. (2.5)*
• Equation C: g(x) = 10. (3.5)*
• Equation D: g(x) = 20 · (4.5)*
the following could define the function g: 20. (2.5)ˣ = g(x)
correct option: B
What is function?Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and co-domain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.
h(x) = 20. 4ˣ (0, 20)
here, g(x) passes through the point (0, 20)
thus, g(x) = 20. aˣ
when x > 0, f(x) < g(x) < h(x)
hence a < 4
so, 20. (2.5)ˣ - 10. 2ˣ > 0
or, 20. (2.5)ˣ = g(x)
correct option: B
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Explain how to use a net to find the surface area of a prism
ANY ABSURD ANSWERS WILL BE REPORTED IMMEDIATELY
Answer:
use a net to fin surface area of a prism by multyplying 10 to the power of 50
Step-by-step explanation:
Answer:
To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
Step-by-step explanation:
luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the numbers on each pair of cards and calculates the lowest common multiple of the four sums. if luke obtained an LCM of 24, find two different ways in which the cards could have been paired
Answer:
(5,7 6,2 4,8 1,3) and (7,1 5,3 4,8 6,2)
Answer: 5,7 6,2 4,8 1,3 7,1 5,3 4,8 6,2
Step-by-step explanation:
Jordan spent a total of $14.85 on a trip to the zoo. She spent $6.50 to get into the zoo, $2.85 on snacks, and the rest on bus fares. How much did she spend on bus fares to and from the zoo? A) $5.05 B $5.50 C $8.35 D $9.35 . museum announces that it has just
Answer:
To find your answer you would subtract $6.50 and $2.85 from $14.85
you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.
Step-by-step explanation:
WILL GIVE BRANLIEST HELP PLEASE!
I believe since you are looking for the angle of M<ABC, you just add both 120 and 25 together, since they practically share a point.
So 120 + 25 = 145
So I guess 145 would be your answer.
I remembered this type of problem from Geometry.
Tell whether the angles
are
complementary or supplementary. Then find the value of c.
(6x + 1)
290
Answer:
Complementary, x=10
Step-by-step explanation:
Complementary angles mean they add up to 90 degrees.
So 29+(6x+1)=90.
30+6x=90
6x=60
x=10
Answer:
Complementary-------- x= 10
Step-by-step explanation:
only 90 degrees
(6x-1)/2930+6x = 90-----------------------------
3. 6x = 60
=======================
x= 10
YA'LL PLEASE HELP I REALLYYY NEED HELP!!!!! (all links for answers will be deleted)
Identify the algebraic description that maps a point (3, 7) onto another point (–5, 7).
Question options:
A)
(x, y) → (x, y – 8)
B)
(x, y) → (x, y + 8)
C)
(x, y) → (x – 8, y)
D)
(x, y) → (x + 8, y)
Answer:
C)
(x, y) → (x – 8, y)
Alisa is choosing new tile for the floor in her dining room which is in the shape of a square with side lengths x feet. The tile costs $3.39 per square foot.
a. Write the function f for the cost of the flooring.
b. Determine the cost of the flooring if she decides on a dining room with side lengths of 11 ft.
c. Determine the cost of the flooring if she decides on a dining room with side lengths of 23 ft
Answer:
A F = 3.39 per sq ft. B 37.29 C 77.97
Th function is f(x) = 3.39x²
The cost of the flooring for a dining room is $410.19.
The cost of the flooring for a dining room is $6,072.31.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Area of a square = side²
Square with side lengths = x feet.
The tile costs = $3.39 per square foot.
a.
The function f for the cost of the flooring.
f(x) = 3.39x²
b.
x = 11 feet
f(11) = 3.39 x 11²
f(11) = 3.39 x 121
f(11) = $410.19
c.
x = 23 feet
f(23) = 3.39 x 23²
f(23) = 3.39 x 529
f(23) = $6,072.31
Therefore,
f(x) = 3.39x²
The cost of the flooring for a dining room is $410.19.
The cost of the flooring for a dining room is $6,072.31.
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What is the perimeter of the triangle?
Answer:
32units
Step-by-step explanation:
by the what I'm seeing the bottom side is 16 and the 2 other sides are 8 respectively. so all you have to do is just add 16,8 and 8 again which will give you 32.
Answer:
32
Step-by-step explanation:
a + b + c = d
a=8 b=16 c=8
8+16+8=32
I’ll give brainliest if u answer within 30 mins
Answer:
I answered
Step-by-step explanation:
A marble will be drawn from the ba and replaced 100 times
Answer:
What
Step-by-step explanation:
Each car is traveling at a constant speed. Find the number of miles each car travels in 1 hour at the given rate.
Answer:
50 miles
Step-by-step explanation:
I dont really have a step by step explanation, sorry
2y - 3x + 6x - y
simplify this for me ?
Answer:
3x + y
Step-by-step explanation:
combine like terms
-3x + 6x = 3x
2y - y = y
Final Answer: 3x + y
.In a survey, 7/20 of the students in fifth
grade said their family buys organic
vegetables. What decimal represents
the portion of students whose families
buy organic vegetables?
Answer:
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a mirror
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Usually I put
Something on TV
So we never think
About you and me
But today I see
Our reflections
Clearly in Hollywood
Laying on the screen
You just need a better life than this
You need something I can never give
Fake water all across the road
It's gone now the night has come but
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out…