Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
[tex]x+y\leq 13[/tex]
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
[tex]4x+7y\geq 65[/tex]
Number of hours can not be negative.
[tex]x\geq 0, y\geq 0[/tex].
Therefore, the required system of inequalities contains some equations, [tex]x+y\leq 13,4x+7y\geq 65[/tex] and [tex]x, y\geq 0[/tex].
At a regional soccer tournament, tickets for two adults and seven students cost $60. Tickets for three adults and eleven students cost $93. Determine the price of an adult ticket and the price of a student ticket.
The price of an adult ticket is $, and the price of a student ticket is $
Answer:
The price of an adult ticket is $9 and the price of a student ticket is $6
Step-by-step explanation:
Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:
2x + 7y = 60
3x + 11y = 93
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:
6x + 21y = 180
-6x - 22y = -186
Add them together:
-y = -6
y = 6
Then, plug in 6 as y into one of the equations to solve for x:
2x + 7y = 60
2x + 7(6) = 60
2x + 42 = 60
2x = 18
x = 9
So, the price of an adult ticket is $9 and the price of a student ticket is $6
An elevator travels 310 feet in 10 seconds. At that speed, how far can this elevator travel in 14 seconds?
Answer:
434
Step-by-step explanation:
To find the answer you divide 310 by 10 to get it's feet per second (f/s) which is 31, and then you multiply 31 by 14 to get the distance the elevator will travel in 14 seconds.
Mark brainliest pls :)
Answer:
434 feet
Step-by-step explanation:
310 divided by 10 = 31
31 times 14 = 434 feet
What is the distance from M(-1,6) to N(11, 1)?
C. 13 units
A. 12 units
B. V 149 units
D. 169 units
Please help me
Answer:
C. 13
Step-by-step explanation:
I hope u dont need work lol
Answer:
D. 169 units
Step-by-step explanation:
What is 1/2 times 14x
Answer:
7x
Step-by-step explanation:
This quantity is the same as obtained when dividing 14x by 2: 7x
During the first week of a certain month, a computer store sells 11 computers. A sale begins on the second week of the week and during the second week the computer store sells 17 computers. What was the percent increase in sales from the first week of the month to the second week of the month ?
Answer:
The percentage increase in sales is 54.45%
Step-by-step explanation:
Here, we want to calculate the percentage increase
mathematically the increase in sales is 17-11 = 6
The percentage increase is ;
6/11 * 100% = 54.45%
Which expression is equivalent to
7 + (3 + 11)
———————
-5+ 8
(Picture included)
HELP ASAP!!
Answer:
7
Step-by-step explanation:
start by adding 3+ 11 in the parenthesis, that should give you 14. now you should have 7 + 14 over -5 + 8.
-5 + 8 = 3 (another way to look at this problem is, 8 -5)
7+14 = 21
you should now have 21 over 3
to simplify this divide 21 by 3, this should give you 7
Answer: 21 divided by 3
Step-by-step explanation:
If you solve the top and the bottom you get 21 for the top and 3 for the top and you can divide 21 by 3 and get 7. You can double check the math if you want, hope this helps!
Can someone please help me please this is turned in like in a couple of minutes !!!!!!!!!!!!!!!
Answer:
1) 3 teaspoons
2) 16 tablespoons
3) 4 tablespoons
4) 16 oz
5) 4/6 or 2/3
6)2 cups
7) 4 cups
8) 4 quarts; 16 cups
9) 8 fl oz
10) 1
Step-by-step explanation:
Enter your answer as as 'x=NUMBER'
-8 - 3x + 8 = 27
Answer:
x= -9
Step-by-step explanation:
-8-3x+8=27
-8+8=0
-3x=27
divide by -3 both sides
27÷-3= -9
x= -9
PLEASE ANSWER I WILL GIVE BRAINLIEST
Answer:
24/32
Step-by-step explanation:
just multiply the bottom number until 32 the as much times you multiplie the denominator that how much times you multiplie the numerator
Answer:
6:8 = 24:32
Step-by-step explanation:
help pls to get brainiest
Answer:
x= -3
Step-by-step explanation:
Answer:
3 (x+5) =6 (use the distributive property)
3x + 15 = 6 ( subtract 15 from both sides to isolate the x-term)
3x = -9 (divide both sides by 3 to get x alone)
x= -3 (the answer )
in desperate need of help , please help lol
Answer:
No, the figures are not similar.
Step-by-step explanation:
In order for the figures to be similar, in object B, the line labeled as 20 would need to be 10.
What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8
Answer:
D) g(x) = 2x-8
Step-by-step explanation:
A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.
Answer:
30 angels
Step-by-step explanation:
please help ill mark brainliest if correct
The answer is A) (3.1, 2.2)
Answer:
A
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
2x + 4y = 15 → (2)
Substitute y = 2x - 4 into (2)
2x + 4(2x - 4) = 15 ← distribute and simplify left side
2x + 8x - 16 = 15
10x - 16 = 15 ( add 16 to both sides )
10x = 31 ( divide both sides by 10 )
x = 3.1
Substitute x = 3.1 into (1) and evaluate for y
y = 2(3.1) - 4 = 6.2 - 4 = 2.2
solution is (3.1, 2.2 ) → A
At Samantha's Hats, there are 12 baseball caps and 4 other hats. What percentage of the hats are baseball caps?
Which of the following is an equivalent expression for -18x − 6?
A.
-6(3x + 1)
B.
-3(6x − 2)
C.
-3(6x − 3)
D.
-6(3x − 1)
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!
Answer:
its d
Step-by-step explanation:
if cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.
Step-by-step explanation:
cos θ - sin θ = √2 sin θ
cos θ + sin θ = √2 sin θ + 2sin θ
cos θ + sin θ = √2(sin θ + √2sin θ)
cos θ + sin θ = √2 cos θ. (Proven)
Solve for u.
200 = 125 - u
Answer:
-75
Step-by-step explanation:
200 = 125-u
75 = -u
u = 75
let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3x + 5 - x²Rewrite: (f - g)(x) = -x² + 3x + 5I have no idea how to find the values of x and y in that diagram. Can someone help?
Answer:
Multiple choice?
Step-by-step explanation:
BRO CAN ONE PERSON HELP ME WITH THIS QUESTION THIS IS MY LAST QUESTION ON THIS GD TEST PLZ I'LL GIVE BRAINLIEST IF YOU ANSWER RIGHT AND HAVE AN EXPLAINATION.
Solve C=59(F−32) for F
Answer:
F = C/59 + 32
Step-by-step explanation:
If 16 horses eat 5 stacks of hay in 35 days, how many horses can eat 4 stacks of hay in 8 days? Math question
Answer:
The number of horses that can eat 4 stacks of hay in 8 days = 56 horses
Step-by-step explanation:
The given parameters are;
The time it takes 16 horses to eat 5 stacks = 35 days
Therefore;
The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days
The time it takes 16 horses to eat 1 stack of hay = 7 days
The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days
Therefore;
The time it takes 1 horse to eat 1 stack of hay = 112 days
The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days
The time it takes 1 horse to eat 4 stacks of hay = 448 days
Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;
The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.
Simplify 2.1 + (-3.7m) + 1.9m - 1.4
Answer:
-1.8m + 0.7
Step-by-step explanation:
Choose all of the transformations that are rigid motions.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.
Rigid transformations are transformation that produces an image with the same size, shape and angle as the original object. Rigid transformations are translation, rotation and reflection.
Dilation is not a rigid transformation.
All the transformations attached are rigid transformations.
Calculate the sale price for each item.
8. A ring that is $75.50 and 30% off.____
9. A pair of shoes that are $40.99 and 25% off.________________________________
10. A tie that is $30.00 and is 40% off.__________________________________________
Answer:
8. $52.85 you'll save $22.65
9. $30.74 you'll save $10.25
10.$18.00 you'll save $12.00
Step-by-step explanation:
Answer:
8. $52.85 saved$19.65
9. $30.74 saved$10.25
10. $18.00 saved$12.00
Help please
Which of the following reasons would justify Statement 4?
If the domain of the function y =2x + a
is the set of all real numbers except x = 5, find the value of a.
Answer:
a=-10
Step-by-step explanation:
y=2x+a ,at x=5
y=2(5)+a
y=10+a
where y=0
10+a=0
a= -10
Help!! 10 pts and brainliest!
Answer:
25 times larger
Step-by-step explanation:
hope this helped
A jeweler uses 5.2 ounces of gold inside of a ring and 2.5 ounces to decorate it. If the jewelery has 42.35 ounces of gold, what is the greatest number of rings that can be made?
Answer:
5.5 rings
Step-by-step explanation:
Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)
Answer:
5 rings
Step-by-step explanation:
Hope this helps
what is the quotient of -0.05 ÷ -5/16
Answer:
Step-by-step explanation:
-0.05 you will multiply with reversal of -5/16
-0.05 x (-16/5)= 0.01x16=0.16