Answer:
x + y ≤ 40
10x + 12 y ≥ 400
x ≥ 0
y ≥ 0
Step-by-step explanation:
System of Inequalities
In order to model the situation stated in the problem, we'll call the following variables:
x = number of hours Sarah spends in the office
y = number of hours Sarah spends babysitting
She works for a maximum of 40 hours per week. This condition leads us to the inequality:
x + y ≤ 40
Her office job pays $12 per hour and her babysitting job pays $10 per hour.
She needs to make at least $400 per week in order to cover her expenses, thus:
10x + 12 y ≥ 400
Two obvious conditions could be added to the set of inequalities:
x ≥ 0
y ≥ 0
The system of inequalities is:
x + y ≤ 40
10x + 12 y ≥ 400
x ≥ 0
y ≥ 0
Scarlet is buying a watch that cost 49$ Is sales tax are 6% how much will be added to the cost of the watch?
Answer:
$51.94
Step-by-step explanation:
Basically just take 6% of 49 and at it up to get your final answer!
Answer:
$51.94
Step-by-step explanation:
49* 1.06= $51.94
6. The longest side of a 30° -60° - 90° triangle measures 8. What is the length of the
longer leg?
Solve:
p + 6 = 23
A. p = 17
B. p = 14
C. p = 13
D. p = 12
Answer:
A) 17
Step-by-step explanation:
p=23-6
p=17
Hope I helped!
Answer:
A
Step-by-step explanation:
Create your own problem using the following informatio
Then, solve it.
1. Ratio is 2:5:6= 78
renn increases to 20
Create your own problem using the following information
ratio is 2:5:6=78
10 POINTs!! Please give some sort of explanation
Answer:
B
Step-by-step explanation:
She starts each week with 108 phones to fix.
Since this is true, you can use the formula to figure this out.
Hope this helps!
In an isosceles triangle the base angles are both 32 degrees, find the vertex
Answer:
116 deg
Step-by-step explanation:
note that an isoceles triangle always have 2 base angles that are equal.
Here we are already given one base angle of 32 deg. It follows that the other base angle must also be 32 deg.
We now have 2 angles of a triangle and we need to find the remaining one. Also recall that all 3 internal angles of a triangle sum to 180 deg. if we let the missing angle be x, then:
base angle + base angle + vertex angle = 180°
or,
32° + 32° + x° = 180°
64° + x = 180 deg
x = 180 - 64
x = 116 deg
Find X
put step by step please
Answer:
x = 29.7 or 29.69848480
Step-by-step explanation:
Use the formula a² + b² = c²
21² = 441
20² = 400
400 + 441 = 882
√882 = 29.7
You square the number at the end to cancel out the squared number, since both 21 and 20 aren't originally squared.
Please help
9(2+17)+13z=17
Answer:
9(19)+13z=17
171+13z=17
13z=171-17
Z=154/13 is the answer
Step-by-step explanation:
Pls mark me in brain list
Answer:
z = -154/13
Step-by-step explanation:
1.) Add the numbers
9(2+17)+13=17
9(19) = 13z = 17
2.) Multiply the numbers
9 x 19 + 13z = 17
171 + 13z = 17
3.) Rearrange terms
171 + 13z = 17
13z + 171 = 17
4.) Subtract 171 from both sides of the equation
13z + 171 = 17
13z + 171 - 171 = 17 - 171
5.) Simplify
Subtract the numbersSubtract the numbers13z = -154
Solution
z = -154/13
Find the mode: 22, 19, 15, 16, 18, 18, 5, 18
Answer:
18
Step-by-step explanation:
Mode is the value that appears most often in a set of data values. So, in this case, the answer is 18.
Solve the system of linear equations using multiplication.
−4x + 3y = −9
5x − 2y = 48
The solution is_____
PLEASE SHOW WORK
Answer:
The solution is (18,21)
Step-by-step explanation:
The picture shows the steps.
Hope this helps!!!
R+6> 13 solving one step inequalities
Answer:
R > 7
Step-by-step explanation:
R+6> 13 (subtract 6 from both sides)
R > 13 - 6
R > 7
I need this ASAP.
preschool has a student to teacher ratio of 5:2 which of the following ratios is equivalent to this ratio?
A 45 teachers to 18 students
B 45 students to 18 teachers
C 35 students to 10 teachers
D 10 students 7 teachers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First you do 5/2 to solve the ratio! That equals 2.5 btw. Then you have to selected the answer choice that is equivalent to that. So I just divided all them until I got a radio equal to 2.5! 45/18 equals 2.5 also! Therefore A (45 teachers to 18 students) was the correct choice!
the house on one side of Elm Street follows a pattern the first five houses are numbers 41, 47 53, 59 and 65 if the pattern continues which of the following could be a house number on Elm Street. A- 75, B- 77, C- 81, D- 87
Step-by-step explanation:
Notice that:
47 - 41 = 6,53 - 47 = 6,59 - 53 = 6, 65 - 59 = 6.Every house number on the side of Elm Street is 6 more than the previous one.
If we continue this pattern, we will see the following house numbers:
65 + 6 = 71,71 + 6 = 77,77 + 6 = 83,83 + 86 = 89.Out of the options given, the only one whose number is on the side of Elm Street is 77. (B)
I need some help and can you please show your work? Thank you have a good day
a que numero mixto corresponde la fraccion 7/2
Answer:
3 & 1/2
Step-by-step explanation:
2•3=6
7-6
1/2
3 whole number
3 & 1/2
Compara las unidades de volumen, rodea la opción correcta y contesta. I 19
Camilo y Amara harán un mural. Cuentan con varios botes de pintura Galon
de diferentes colores, pero las etiquetas difieren en las unidades
que representan su contenido.
Unidad de
del Sister
que equiv
a 3.79 lit
2 galones
V2 galón
2.5 litros
2 litros
1 1/4 litros
V2 litro
¿Cuál de las siguientes opciones representa medio galón?
a) 18.95 litros
b) 1.895 litros
c) 1 895 litros
b09
¿Cuál equivale a dos galones?
SUSU BUDIS
b) 7.58 litros
c) 75.8 litros
a) 758 litros
Answer:
hola jugas free mi id si juegas 542233308
ANSWER FOR A BRAINLIEST Solve the system of two variables by substitution
Answer:
Substitution is when you isolate a variable-
3) We can divide the first equation by 6 to get x+y=-1, then isolate to get y=-1-x. We plug this into the second equation to have 3x+(-1-x)=-13. We simplify and get 2x=-12 so x=-6. We plug this back into the first equation and get -6+y=-1 so y=5. So the answer as an ordered pair is (-6,5).
4) We can isolate the second equation to get x=2y+11. We substitute this into the first equation to have -7(2y+11)-2y=-13. We simplify and get -16y=64 so y=-4. We plug this back into the second equation and get x+8=11 so x=3. So the answer as an ordered pair is (3,-4).
4.35 = a + 3.25 * help
Answer:
4.35 - 3.25= 1.1
A = 1.1
Step-by-step explanation:
Four out of 12 students like chicken better than steak. What percent prefer chicken
Answer:
33.333...(%)
Step-by-step explanation:
4 divided by 12 gives you 0.333... (3 repeating)
If 24 is increased to 60. Find the percent increase.
I have 30 glasses each hold 1 1/3 do I have enough glasses if I have 50 cup of fruit punch bowl
Answer:
No you do not
Step-by-step explanation:
If you divide 50 by 1 1/3 you 37.5 which you you have 30 glasses so you do not have enough
If Joe had 2 apples and his friend gave him 5 more how many apples would Joe have?
Answer: Joe would have 7 apples.
Step-by-step explanation:
Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.
2 + 5 = 7
Joe would have 7 apples.
is 3 correct pls helppppppppppp
Answer:
yes it is you didn't even have to ask the question
Step-by-step explanation:
hope this helped :)
a number divided by the sum of 4 and 7
Answer:11
Step-by-step explanation:
Answer:
11/ 4 + 7 = 11/11 = 1?
Step-by-step explanation:
Determine if the given point satisfies either equations and is a solution of the system of inequalities
4y-23x _5x-11
The rest see it on the photo
Answer:
(0,0) satisfies 4y - 23x < 9
(0,0) satisfies 5/2y > 5x -11
The point (0,0) is a solution of the system.
Step-by-step explanation:
The value of a collectible toy is increasing exponentially. The two points on the graph
show the toy's initial value and its value 3 weeks afterward.
The question is incomplete. Here is the complete question.
Part A
The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.
Express the toy's value t, in dollars, as a function of time w in weeks after purchase.
Part B
Write an expression to represent the toy's value 10 days after purchase
Answer and Step-by-step explanation: An exponential function is of the form: [tex]y=ab^{x}[/tex]
Part A
Translating to the question, the toy's value as a function of time is
[tex]t=ab^{w}[/tex]
To determine constants a and b, we use points given by graph.
First, (0,5) to find a:
[tex]5=a.b^{0}[/tex]
a = 5
Now, (3,10) to determine b:
[tex]10=5b^{3}[/tex]
[tex]b=\sqrt[3]{2}[/tex]
b = 1.26
The toy's value as a function of time in weeks is [tex]t=5.(1.26)^{w}[/tex]
Part B
Since, the function is in weeks:
1 week = 7 days
w weeks = 10 days
[tex]w = \frac{10}{7}[/tex]
Replacing w:
[tex]t=5.(1.26)^{w}[/tex]
[tex]t=5.(1.26)^{10/7}[/tex]
Expression that represents toy's value after 10 days is [tex]t=5.(1.26)^{10/7}[/tex].
Evaluate 4x-6y when x=-3 y=-1
Answer:
First we substitute
4(-3) - 6(-1)
-7 -6
-13
Step-by-step explanation:
On average, Gil reads 57 pages in a book each week.
How many pages des Gil read in 12 weeks?
Answer:
684
Step-by-step explanation:
57 times 12
12 weeks times 57 pages= 684 pages in 12 weeks
Given a right triangle, find the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm. (Round to two decimal places.)
The length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
a² + b² = c² (Pythagoras theorem)
where, c is the hypotenuse (longest length) of a triangle.
And a and b are the two other side of the triangle excluding the longest one.
Let x be the length of the missing leg of the given right triangle.
x² + 5² = 13²
x² = 13² - 5²
x² = 169 - 25
x² = 144
x = √144
x = 12
Hence, the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.
Learn more about Pythagoras theorem;
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hellpp fast please a
Answer:
C. 3x+30
Step-by-step explanation:
5(2x+6)-7x can be rewritten as
10x+30-7x which can be simplified as
3x+30