Answer:
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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
can someone help me pleaseeeeee
The question is "FIND THE VALUE OF 7".
the answers are 27, 5,040, 4,480, and 28.
Solve for x! Please try and show work. ANSWER ASAP SCAM ANSWERS WILL BE REPORTED. Also will award brainliest to CORRECT answer
Answer:
x = 12 degrees
Step-by-step explanation:
m < LNM = (70+136)/2
= 206 / 2
= 103 degrees
So 7x + 19 = 103
7x = 103 - 19 = 84
x = 84/7
x = 12.
ILL GIVE YOU BRAINLEST IF YOU AWSER IT
Which product is Least 1/2×595 or 1/20×595 or 2×595 or 18/5×595
Answer:
1/20 x 595
Step-by-step explanation:
1/20 is the lowest fraction in this situation so lower fractions and multiplying whole numbers will be lower than 1/2
Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots including an 8% sales tax
Answer:
$204.98
Step-by-step explanation:
Step 1: Add both item cost
[tex]99.90 + 89.90 = 189.80[/tex]
Step 2: Find the sales tax of the result
[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]
Step 1: Convert 8% to fraction[tex]8\%= \frac{8}{100}[/tex]Simplify[tex]\frac{8}{100} = \frac{2}{25}[/tex]Step 2: Convert 189.80 to a fraction[tex]189.80 = \frac{189.8}{1}[/tex]Step 3: Set it up[tex]\frac{2}{25}\times \frac{189.8}{1}[/tex]Step 4: Cross divide[tex]189.80 \div 25 = 7.592\\2 \div 1 = 2[/tex]Step 5: Multiply the result[tex]7.592 \times 2 = 15.184[/tex]Step 3: Add the result from the total cost of both items
[tex]189.80 + 15.184 = 204.98[/tex]
The total cost of the hats and boots including sales tax is 204.98 dollars
Bev asked 5 friends how many books they each read last month.
She put her data in a table and found the total number of books read
Find the mean and the median of the data set.
Determine which of these values is greater.
A. The median, 5, is greater than the mean, 2.
B. The median, 5, is greater than the mean, 4.
C. The mean,5, is greater than the median,2
D. The mean,4, is greater than the median,3
Answer: C
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
took the test on ap ex
(10a⁵b⁴-15a⁴b⁵+5a³b³)÷(-5a³b³)
Answer:
[tex]\bold{-2a^2b+3ab^2-1}[/tex]Step-by-step explanation:
[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]
Circle has a circumference of 38 cm
What is the length of the radius,
6 cm
18 om
36 cm
72 cm
[tex]circumference \: of \: circle \: = 2 \: \pi \: r[/tex]
38 = 2πr
r = 38/2π
r = 38÷6.28
r = 6 cm
A 2-pack of sweatshirts costs $18.09. What is the unit price, rounded to the nearest cent?
Answer:
9.04
Step-by-step explanation:
18.09÷2=9.045
Rounded to the nearest cent 9.04
a football is kicked at an angle of 60 with initial velocity of 80 ft./s. approximately how far will the ball travel horizontally before it hits the ground?
4ft.
13ft
75ft
173ft
Answer:
75ft
Step-by-step explanation:
We are to find the maximum height reached by the ball. This is expressed as;
H = u²sin²Ф/2g
u is the initial velocity = 80 ft./s.
Ф is the angle = 60degrees
g is the acceleration due to gravity = 32ft/s
Substitute
H =80²sin²60/2(32)
H = 6400sin²60/64
H = 100 (0.8660)²
H = 100*0.749956
H = 74.9956
H ≈ 75ft
Hence the ball has travelled 75ft apprximately
Amelia washes and dries her clothes at the laundromat. She can wash and dry 3 loads of
laundry for $10.00. At this rate, how much, in dollars, will it cost to wash and dry 18 loads of
laundry?
Find the value of x number on top is 6 and other is 9
Answer:
x = - 12, 3
Step-by-step explanation:
By tangent secant theorem:
[tex]x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\ [/tex]
Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?
Answer:
33 years and 4 months.
Step-by-step explanation:
Assuming it is a flat rate
3000 x 0.09 = $270 per year
12000-3000=9000
9000/270 = 33 years, 4 months
no wonder why u lookin all aids
Answer:
cuz im Not very smarttt
Step-by-step explanation:
at all
Last one for this one
Answer:
Try 64. I think its right. I could be wrong though
Step-by-step explanation:
Which angles are adjacent angles?
Answer:
Step-by-step explanation:
(-3)(-3)(-5)
________
3
Jose purchased 3pounds of pasta and 12 ounces of cheese to make macaroni and cheese.what is the total weight in ounces of the pasta and cheese combined
Answer:
60 ounces
Step-by-step explanation:
3 pounds = 48oz+12oz=60oz
Drag expressions into order to show a way to find 4 × 3/8
Step-by-step explanation:
[tex]4 \times \frac{3}{8} [/tex]
[tex] \frac{4}{1} \times \frac{3}{8} [/tex]
=12/8
=1 4/8=
= 1 1/2
Josephine has a glass pitcher in the shape of a rectangular prism. The pitcher dimensions are 5 inches long, 5 inches wide and 7 inches high. She fills 3 inches of the pitcher with sugar. How many cubic inches are left in her pitcher for lemonade?
Answer:
100 cubic inches
Step-by-step explanation:
If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.
Find how many cubic inches are left for lemonade by finding the volume
Use the volume formula, V = lwh
V = lwh
V = (5)(5)(4)
V = 100
So, there are 100 cubic inches left for lemonade
the measures of the angles of a triangle are shown in the figure below. solve for x
Answer:
67 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees. So...
23 + x + 90 = 180
113 + x = 180
x = 67 degrees
Find the volume of the prism below.
3 ft
8 ft
6 ft
Answer:
3: 27
8; 512
6; 216
Step-by-step explanation:
Which choice is equivalent to the expression below?
Answer:
The answer is A
Step-by-step explanation:
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.
The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts
Number of T-Shirts Total Cost (dollar)
12
156
17
211
22
266
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
ok
Answer:
12
Step-by-step explanation:
hi
Equation which describe relationship between total cost and number of t-shirt is [tex]c(t)=75.93e^{0.06t}[/tex].
Data given are ,
Number of t-shirt (t) total cost c(t)
12 156
17 211
22 266
According to above table, exponential function best describes the relationship between the total cost, c(t), and the number of T-shirts, t.
Let, [tex]c(t)=Ae^{kt}[/tex]
Substitute , t=12 and c(t) = 156
We get, [tex]156=Ae^{12k}.......(1)[/tex]
Substitute , t=17 and c(t) = 211
We get, [tex]211=Ae^{17k} ........(2)[/tex]
After solving above equations.
We get, A = 75.93 and k = 0.06
Thus, [tex]c(t)=75.93e^{0.06t}[/tex]
Learn more:
https://brainly.com/question/12626186
Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker?
Answer:
8,138.88 mm³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
π = 3.14
Radius, r = 9 mm
Height, h = 32 mm
Volume of a cylinder = πr²h
= 3.14 × (9 mm)² × 32 mm
= 3.14 × 81 mm² × 32 mm
= 8,138.88 mm³
Volume of a cylinder = 8,138.88 mm³
Quantity of pepper that will fit in the shaker = 8,138.88 mm³
108 identical books have a mass of 30 kg.Find
the mass of 150 such books
the number of such books that have mass of 20 kg
Answer:
41.67 kg
72 books
Step-by-step explanation:
mass of 150 books = 150/108 × 30 kg
= 41.67 kg
number of books = 20/30 × 108 books
= 72 books
The tile showen are placed in a bag you randomly select one of the tiles return it to the bag and randomly selecting Lo tile what is the probability that the first number divided by the second number is greater than zero
Answer:
15
Step-by-step explanation:
The probability that the first number divided by the second number is greater than zero is 1/3
What is probability?Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Tiles are numbered -2,-1,1,2
So, possibility first number divided by the second number is greater than zero
-2/-1=2
-2/1=-2
-2/2=-1
-1/-2= 0.5
-1/1=-1
-1/2=-0.5
1/-2=-0.5
1/-1=-1
1/2=0.5
2/-2=-1
2/-1=-2
2/2=1
Probability the first number divided by the second number is greater than zero = 4/12=1/3.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
Which volume formula(s) could be used to calculate the volume of a rectangular
pyramid? Hint: There is more than one.
Select 3 correct answer(s)
OV= Bh
Oy = {Bh
Oy = {lwh
Oy = Bh
3
Given:
The given volume formulas to calculate the volume of a rectangular
pyramid.
To find:
The correct volume formula.
Solution:
The volume of a rectangular pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area of the rectangular pyramid and h is the vertical height of the rectangular pyramid.
Therefore, the correct volume of a rectangular pyramid is [tex]V=\dfrac{1}{3}Bh[/tex].
Note: In the given problem, the options are not in correct form.