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].
1/2x+y = 3
y = 3x + 10
Solve using substitution
Answer:
(-2,4)
x = -2 y = 4
I hope this helps
If f(x)=7x+2 and x=1 what is the output value? Plzzz help ASAP
A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38,500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?
Answer:
7/9 is the answer
Step-by-step explanation:
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:
Which of the following is an example of a quadratic equation?
its b
Step-by-step explanation:
Solve using the quadratic formula x^2-12x+5=0
Answer:
x=6+[tex]\sqrt{x}[/tex]31
i don't understand this equation -6n+21=12n-15
Answer:
n=2 dont add your -6n and 21 together only variables can go with variables and you learn this in 6th-7th grade anyway.
Pueden responder rápido por favor? tengo hasta las 10 :v
Para preparar una ración se utilizan tres cereales: A, B y C. La ración I tiene 20 Kg del cereal A, 50
Kg del cereal B y 100 Kg del cereal C. La ración II tiene 35 Kg del cereal A, 60 Kg del cereal B y 80
Kg del cereal C. La ración III tiene 45 Kg del cereal A, 45 Kg del cereal B y 50 Kg del cereal C. Se
tiene 36000 Kg del cereal A, 40000 Kg del cereal B y 48000 Kg del cereal C. ¿Cuántas unidades
de cada ración se pueden preparar si se utiliza todo el cereal disponible?
Answer:
what are u saying I asked my Spanish teacher and she said...
Step-by-step explanation:
its D idn why hm any way have a great day if u can understand what I'm saying :D
5. Solve for x.
6. Solve for
(9x - 16)
I
(3.1 + 11)
(7x - 5)
ments
X =
7 Find m
Answer:
12*56-56+11=12
Step-by-step explanation:
12 for 56
Write a function rule for the area of a rectangle with a length 2 ft less than three times it’s width. What is the area of the rectangle when it’s width is 2 ft?
9514 1404 393
Answer:
A(w) = w(3w-2)
A(2) = 8 . . . . square feet
Step-by-step explanation:
For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...
A = WL
A(w) = w(3w-2)
__
To find the area for a width of 2, we put 2 where w is, then evaluate.
A(2) = 2(3·2 -2) = 8 . . . . square feet
how do you put the number 250 in
Standard form
Answer:
I believe it would be 2.5x10^3
or two-hundred and fifty
Step-by-step explanation:
hope it helps and please correct me if I'm wrong
Answer:
In standard form: 250 = 2.5 x 10^2
or two hundred and fifty
Step-by-step explanation:
At least I think so sorry if this is incorrect.
A vendor at the Saturday Market makes $9 profit on each necklace she sells and $5 profit on each bracelet.
Find a combination of necklaces and bracelets that she could sell and make:
Exactly $100 profit.
Answer:
10 necklaces and 2 bracelets
Step-by-step explanation:
Each necklace sells for 10 dollars, at 9 dollrs each, that makes 90 dollars
That, combined with the 10 dollars the two bracelets would make her, would give the vendor 100 dollars in profit
A soap factory packs 7 bars of soap into each family pack. How many family packs can be made with 4,900 bars of soap?
Answer:
700 family packs
Step-by-step explanation:
In each family pack, there are 7 bars of soap. To find the number of family packs that can be made with 4900 bars of soap, we need to divide 4900 into groups of 7.
4900÷7
=700
Therefore, 700 family packs can be made with 4900 bars of soap.
I hope this helps!
What is 11% of 600?
80
45
60
66
Answer:
66 is the answer to your question
Answer:
66
Step-by-step explanation:
11 % = 0.11
600 × 0.11 = 66
The length of the deck is 3 times it’s width. If the decks perimeter is 16 ft what is the decks area
Answer:
12 ft²Step-by-step explanation:
Givenl = 3wP = 16A = ?SolutionUse perimeter formula
P= 2(l + w) = 2(w + 3w) = 8wFind width:
8w = 16 ⇒ w = 2 ftFind length:
l = 3*2= 6 ftFind area:
A = lw = 6*2 = 12 ft²Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0
Answer:
x=1/2 or x=−1
Step-by-step explanation:
The solution to the quadratic equation is x = -1 or 1/2
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + x - 1 = 0 be equation (1)
And , roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
On simplifying , we get
x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4
x = [ -1 ± √ ( 1 + 8 ) ] / 4
x = [ -1 ± 3 ] / 4
So , the two values of x are
x = ( -1 - 3 ) / 4
x = -1
And , x = ( -1 + 3 ) / 4
x = 1/2
Therefore , the values of x are -1 or 1/2 respectively
Hence , the roots of the quadratic equation are -1 or 1/2 respectively
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ7
can i get some help please -2v(1-7v)+v-10
Answer:
14v2-V-10
Step-by-step explanation: you can look it up -for step by step
Find the perimeter of triangle ABC. Approximate to the nearest whole unit.
Answer: 16 units
Step-by-step explanation: adding the perimeter sides to get the perimeter of triangle ABC would be 4.1+6.1+5.8 = 16
Answer:
16
Step-by-step explanation:
AC = 6.1
CB = 5.8
BA = 4.1
Use whole number approximations for the three side lengths.
AC = 6
CB = 6
BA = 4
perimeter = AC + CB + BA = 6 + 6 + 4 = 16
Answer: 16
holly has $10.00. she saw a purse in a catalog that was marked $14.95 plus 5 sales tax
Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.
Step-by-step explanation:
Answer: A. $5.70
Step-by-step explanation:
You have 33 math and science problems for homework. You have 7 more math problems than science problems. How many problems do you have in each subject?
For this question type the two equations that you are using and your solution to the system.
Answer:
x=33/7 m=7+x
Step-by-step explanation:
33 divided by 7 is 5 (when rounded) then you add 5 to 7 and get 12. Hope this helped yu!! Give brainliest.
Answer:
x=33/7 m=7+x
Step-by-step explanation:
so if you divide 33 by 7 you get 4.71428571429 which would be 5 when rounded and then you add 5 to 7 to get 12 I HOPE THIS HELLPEEDD
At the last pep rally 3 out of every 7 students wore school colors. Based on this information, if 350 students attend the next pep rally, how many of these students will wear school colors
(1st answer will get marked brainliest.. please don’t answer if you don’t know what the answer is.. thank you :))
Answer:
150
Step-by-step explanation:
Please let me know if you still need help!
Answer:
150 students would be wearing school colors
Step-by-step explanation:
Pretty sure because you divide 350 by 7 (which gives 50), then multiply 50 by 3 to get 150, which would be 3/7 of the student population
4. What is the value of -24 + 6?
Answer:-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Please give brainliest!
I NEEP HELP ASAP PLEASE AND THANK YOU
Answer:
The first answer, 3 times the square root of x squared is correct.
what is central and inscribed angle
Answer:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.
13. A quadratic function passes through the points (0,5), (2,3), and (3,5). Which
function represents the same relationship?
A h(I) = x2 + 3x + 5
B h(x) = x2 – 3x + 5
C h(c) = -3x2++5
D h(c) = x2
= 2 + 5x - 3
Answer:
B
Step-by-step explanation:
( Which of the following best describes an ecosystem in a neighborhood garden?
HELP PLZ! (Will give Brainliest)
You aren't so sure that Kristoff is correct, so you want to see another representation of the data. You draw box-and-whisker plots for each of their six jumps. Based on this representation, who do you recommend gets sent to the track meet and WHY?
I would recommend that Anna gets sent to the track meet because although her average is lower than olafs, she has much more experience because as you can see in the box and whisker plot, she has done a lot more running
A number is equal to 3 times a smaller number. Also, the sun of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the larger
nunber
Answer:
y=3x and y=x+4
that is the third option
Step-by-step explanation:
let the larger number be y and the smaller one be x
From the mathematical statements,
y=3x
Also
y=x+4
A=2.5
B=10
C=5
D=5 square root of 3
Answer:
B.
Step-by-step explanation:
Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.
Answer:
Number of students who do not know = 24
Step-by-step explanation:
Year II students = 240
15% of the students want to go to college.
Number of year II students who wants to go to college = 15% of 240
= 15/100 × 240
= 0.15 × 240
= 36
¾ of the students want to stay at school.
Number of students who wants to stay at the school = 3/4 × 240
= (3 × 240) / 4
= 720 / 4
= 180
Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school
= 240 - 36 - 180
= 24
Number of students who do not know = 24