Anthony charges $15 an hour for tutoring and $10 an hour for babysitting. He can work no more than 14 hours a week. How many hours should Anthony spend on each job if he wants to earn at least $125 each week?
Select a system of inequalities to represent the situation. Let x represent hours of tutoring and y represent hours of babysitting.
A)
x+y≤14; 10x+15y≥125.
B)
x+y≤14; 15x+10y≥125.
C)
x+y≥14; 15x+10y≥125.
D)
x+y≤125; 15x+10y≥14.
Answer:
Step-by-step explanation:
C
The system of inequalities representing the given situation is x + y ≥ 14; 15x + 10y ≥ 125. which is the correct answer would be an option (C)
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To determine the number of hours should he spend on each job if he wants to earn at least $125 each week.
Let the hours of tutoring would be x
And y the hours of babysitting would be y
Given that He can work no more than 14 hours a week.
So inequality as per the above situation is: x + y ≥ 14
Since he charges $15 an hour for tutoring and $10 an hour for babysitting.
If he wants to earn at least $125 each week.
So inequality as per the above situation is: 15x + 10y ≥ 125
Therefore, the correct answer would be option (C).
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Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy.
The maximum number of apples that she can buy is 7.75.
We are given that:
- Apples cost $2 each.
- Mangos cost $1.50 each.
- Mia has $20 to spend.
- Mia must buy no less than 9 apples and mangos altogether.
- Mia decided to buy 3 mangos.
Now,
we can write the following system of equations:
[tex]$\begin{cases}2a + 1.5m \leq 20\\a + m \geq 9\\m = 3\end{cases}$[/tex]
Substituting $m = 3$ into the second equation, we get:
[tex]$a + 3 \geq 9 \Rightarrow a \geq 6$[/tex]
So, Mia must buy at least 6 apples.
To determine the maximum number of apples that she could buy, we can substitute m = 3 into the first equation and solve for a:
[tex]$2a + 1.5(3) \leq 20 \Rightarrow a \leq \frac{20 - 4.5}{2} = 7.75$[/tex]
Therefore, by equation answer will be 7.75.
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For the function f(x) = 0.25 (x - 1) (x + 7) identify the vertex.
Answer:
Mark brainly then I will answer..
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!
Answer:
Step-by-step explanation:
Helppppp!!!!!!!!!!!!!!
Answer:
pour the water out
Step-by-step explanation:
Answer:
the answer is 1.8
Step-by-step explanation:
f(x) = 32^2+ 5x - 14
Find f(-9)
Use the graph shown to fill in the blank.
When x = -3, then y =
==========================================================
Explanation:
Draw a vertical line through -3 on the x axis
This vertical line crosses the diagonal line at point P as shown in the diagram below.
Draw a horizontal line from point P to the y axis to get to y = -6
This shows that (x,y) = (-3,-6) is a point on the diagonal line.
(4r 2 −3r+2)−(−r 2 −3r)
100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) The table below shows Karen's distance during the
marathon. Between which hours does Karen run the fastest?
Answer:
Between 6 and 9 hours.
Reason: the slope increases during 6-9 hour period.
The formula 2y = 3x + 6 is used in chemistry. How can this formula be solved for Y?
[tex]2y = 3x + 6\\y = \frac{3}{2}x + \frac{6}{2} = \frac{3}{2}x + 3[/tex]
Please help brainiest is award!
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is Choice D because if you find the y-intercept, it turns out to be 6. So if you solve for y in choice D you will get that the equation is y=x+6.
It has all the information that was given to us. It has a slope of one and when you find the y-intercept you will see that it also has the y-intercept as 6.
PLEASE HELP WILL MARK BRAINLEST IF RIGHT***** Write the contrapositive of the given statement: If m∠B=90°, then ∠B is a right angle. *
9514 1404 393
Answer:
if ∠B is not a right angle, then m∠B ≠ 90°.
Step-by-step explanation:
The contrapositive of ...
If P, then Q.
is ...
If not Q, then not P.
__
Here, we have ...
P = m∠B = 90° ⇒ not P = m∠B ≠ 90°
Q = ∠B is a right angle ⇒ not Q = ∠B is not a right angle
Then the contrapositive is ...
If ∠B is not a right angle, then m∠B ≠ 90°.
If a • b = 0, and a ≠ 0, then b = __
Answer:
it can be 0 or any number
Step-by-step explanation:
anything x 0 is 0
A line has a slope of 1 over 4 and passes through the point 0.2 4 over 5 find the value of b , the y intercept
Answer:
it equals 7
Step-by-step explanation:
If the area of a square is 33 square inches, which is greater: the length of a side of the of a side of the square to the nearest tenth of an inch or the square root of 40?
Answer:
square root of 40 is greater than side of the square
Step-by-step explanation:
First we find square root of 40
[tex]\sqrt{40} = 6.325[/tex]
Now
given
area of a square is 33 square inches
we know area of square is side square
area of square = [tex]side^2[/tex]
[tex]side^2 = 33\\\sqrt{side^2} = \sqrt{33}\\side = 5.745[/tex]
Thus, we see length side of square is 5.7 inches
and square root of 40 is 6.325
since
6.325 > 5.7
hence square root of 40 is greater
Answer:
40
Step-by-step explanation:
Which statement is true about parallel lines?
A. They intersect and are coplanar.
B. They intersect, but are not coplanar.
C. They do not intersect, but are coplanar.
D. They do not intersect and are not coplanar.
Answer:
C( They do not intersect, but are coplanar
Step-by-step explanation:
Parallel lines are coplanar (they lie in the same plane) and never intersect.
The statement that is true about parallel lines is that they do not intersect, but are coplanar: Option C is correct.
Lines are 2-dimensional figures that are used to connect two on more points in a xy-plane.
For two lines to be parallel, this means that the lines;
cannot meet each other i.e. they can not intersectThey can lie on the same plane i.e they can be coplanarHence we can conclude that the statement that is true about parallel lines is that they do not intersect, but are coplanar.
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The same vocabulary test with 50 questions is given to 600 students from 5th to 10th grade and the number of correct responses is collected for each student in this group. The interquartile range is 40 correct responses. What would a box plot look like for the results of the vocabulary test?
Answer:
Please find attached the required box plot, which is described in the following section
Step-by-step explanation:
The boxplot will have values, due to the age difference of the test takers, which can be presented as follows;
50, 49, 46, 44, 35, 24, 14, 7, 6, 5
Therefore, we have the following 5 values as shown here, as well as others calculated through Microsoft Excel;
The maximum value = 50
The minimum value = 5
The third quartile, Q₃ = 46.75
The median, Q₂ = 29.5
The first quartile, Q₁ = 6.75
The box plot for the test scores for the vocabulary test with 50 questions administered to 600 students from the 5th to the 10th grade is included with the above answer.
solve for x 3/2 + 1/2 x = 2X
Answer:
x=1
Step-by-step explanation:
3/2+ 1/2= 2x
2=2x
then u swap the sides
2x=2
divide both sides by 2
x=1
|-9-3| + (-16:4)
Evaluate the following expressions
Answer:
I got 12 + (-16 :4)
Step-by-step explanation:
if u could subscribe to my friend penny_pg3d, that would be great!
5/2 divided by 5/7 this is dividing fractions
Answer:
7/2
Step-by-step explanation:
you multiply 5/2×7/5 to divide fractions
Final Answer:
7/2
Step-by-step explanation:
5/2 ÷ 5/7
5/2 ÷ 7/55/2 × 7/5 = 35/1035/10 ⇒ 7/2
jeremy can row 2/3 of a mile in 1/4 of an hour. what is the unit rate that describes miles per hour?
Answer:
2.66 miles per hour
Step-by-step explanation:
In order to find the unit rate, you have to divide the two units.
2/3 / 1/4 =
2/3 * 4 = 8/3 or 2.66 mph
What is greater 5/8 or 60%
Answer: 5/8 :)
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
Using long division 5/8= 0.625. which as a percentage is 62.5%
62.5%>60%
Find the length of RS with endpoints R(4,5) and S(-1, – 4).
Answer:
[tex]d=\sqrt{106}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(-1-4)^2+(-4-5)^2}[/tex]
[tex]d=\sqrt{(-5)^2+(-9)^2}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
51/8 times 17/4and simplified
Answer:
27 3/32
Step-by-step explanation:
Answer:
It's 30 27/28
Step-by-step explanation:
If you multiply 51*17 and 7*4 you get 867/28 which equals 30 27/28
Which of the following will result in a rational number? Select all that apply.
A. 645+9√4
B. 645−5√7
C. 645×9√4
D. 645÷5√7
help me please
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. so i think B and D
The given numbers 645+9√4 and 645×9√4 are rational numbers.
Option A and C are correct.
Rational number :A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.
The given options are,
A. 645+9√4 = 645 + (9*2) = 645 + 18 = 663
Since above number can be expressed as the ratio of the integers.
So that, given number is rational number.
C. 645×9√4 = 645 * 9 * 2 = 11,610
Since above number can be expressed as the ratio of the integers.
So that, given number is rational number.
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Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
W
C.
Y
D.
Z
Answer:
WStep-by-step explanation:
[tex]hii[/tex]
have a nice day ✌️✌️
hope this helps you ✌️✌️✌️
Solve each Algebraic Equation
x-27=56
y+14=83
k+53=124
a-27=90
q+67=118
35+x=44
58+p=16
Answer:
x=83
y=69
k=71
a=117
q=51
x=9
p=-42
Step-by-step explanation:
how to do this? Angles ?
It’s already labeled..
Multiply, or add the numbers labeled on them. It’s really not about the angles
Sorry I didn’t really give you an answer but I hope this helped!
Jill grew 5/8 of an inch last year. This year she has grown 1 1/4 inches. How much has she grown in all?
Answer:In all Jill has grown 1 7/8 inches
Step-by-step explanation:
Tavon has a gift card for 115 that loses 2.50 for each 30-day period it is not used. He has another gift card for 95 that loses 2 for each 30-day period it is not used. a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. b. What will the value of each card be when they have equal value?
If x is the number of 30-day periods, then the equation _____
nothing can be used to find the number of 30-day periods until the values of the gift cards will be equal
Answer:
a) Equation: 115 - 2.5x = 95 - 2x
ii) x = 40
b) The value of each gift card for which they'll be equal = 15
Step-by-step explanation:
a) Equation for the number of 30 days until the value of the gift cards are equal:
card 1: gift card for 115 that loses 2.50 for each 30-day period
115 - 2.5x - - - - (1)
card 2: gift card for 95 that loses 2 for each 30-day period
95 - 2x - - - - - - (2)
equation for the number of 30 day period (x) for which the amount on card 1 is eqaul to the amount on card 2 is given by:
115 - 2.5x = 95 - 2x
making x the subject of the formula:
115 - 95 = -2x + 2.5x
20 = 0.5x - - - - (i)
x = 20 ÷ 0.5
x = 40
b) the value on the gift card
From expression 1 above; 115 - 2.5x
where x = 40
115 - 2.5x = 115 - 2.5(40)
= 115 - 100 = 15
from expression (2); 95 - 2x
95 - 2(40) = 95 - 80 = 15
∴ The value of each gift card for which they'll be equal = 15