Answer:
She is paid $6.25.hour at the concession and $8.50 as a lifeguard.
Step-by-step explanation:
We know:
18 hours as a lifeguard
12 hours at concession
Total earned = $228
18L + 12C = 228
Then:
24 hours as a lifeguard
8 hours at concession
Total earned = $254
24L + 8C = 254
Move one equation around to get one variable by itself: in this case we can solve for L:
18L + 12C = 228
18L = 228 - 12C
L = (228/18) - (12/18)C
Plug in for L:
24((228/18) - (12/18)C) + 8C = 254
Solve for C:
C = 6.25
Now that we know C, plug in value for C and solve for L:
18L + 12(6.25) = 228
L = 8.5
So she is paid $6.25.hour at the concession and $8.50 as a lifeguard.
What is the equivalent ratio to 7 : 20
Answer:
14:40
Step-by-step explanation:
Can someone help!!! I've been stuck on this for a while
What is the slope of x+y=4
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Let's find the slope :
[tex]x + y = 4[/tex][tex]y = 4 - x[/tex][tex]y = - x + 4[/tex]now, the equation is in the general form of a straight line.
and here, the coefficient of x will be the slope of given line.
that is :
[tex] - 1[/tex]the box that shoes come in are often used in other capacities once the shopper has bought theshoes sometimes the boxes are used to hold other items so it is helpful to know the volume of the box if the area of the base of the box is 112 square inches and the hight is 3.5 inches. What is the vloume of the box?
The box with area of the base of the box is 112 square inches and the height is 3.5 inches has volume of 392 in³
A cuboid is a three dimensional shape polyhedral with six quadrilateral faces. The volume of a cuboid is:
Volume of cuboid = length * width * height
A box is a three dimensional shape in the form of a cuboid. The volume of a box is:
Volume of box = length * width * height
Volume of box = area of base * height
The area of the base of the box is 112 square inches and the height is 3.5 inches, hence:
Volume of box = 112 in² * 3.5 in
Volume of box = 392 in³
The box has volume of 392 in³
Find out more at: https://brainly.com/question/16563571
3 an 3/4x2 an 2/3................
Answer:
M expression:
3x^2/2
D expression:
3, 3/4 x^2, 2/3
A coordinate grid showing Time in hours on the x-axis and Distance from Start in miles. A line plotted passing through the 2 points at (0, 0) and (3, 180).
Abigail drives at an average speed of 60 miles per hour for 3 hours. The graph shows her distance versus time. Which statements are true? Check all that apply.
As Abigail’s time increases, her distance increases.
As Abigail’s time increases, her distance decreases.
At 2 hours, Abigail has traveled 120 miles.
At 1.5 hours, Abigail has traveled 100 miles.
At 3 hours, Abigail has traveled 180 miles.
Answer: 1,3, and 5
1.) As Abigail’s time increases, her distance increases.
3.) At 2 hours, Abigail has traveled 120 miles.
5.) At 3 hours, Abigail has traveled 180 miles.
Step-by-step explanation: i hope this helps :)
A, C, E
As Abigail’s time increases, her distance increases.
At 2 hours, Abigail has traveled 120 miles.
At 3 hours, Abigail has traveled 180 miles.
Step-by-step explanation:peep the attachment
Sam had $25 more than Mary, and together they had enough money to buy a video game for $57 and to pay $16 for two movie tickets. How much money did Mary have?
Answer:
Mary had $24
Step-by-step explanation:
So to solve this question, we first have to create an equation.
Mary's money=x
Since Sam had $25 more than Mary, $Sam+$Mary is (25+x)+x.
With this money, they can buy something worth $57 and something worth $16, so that means (25+x)+x=57+16
Now we solve the equation-->
(25+x)+x=57+16
Combine x and x to get 2x.
25+2x=57+16
Add 57 and 16 to get 73.
25+2x=73
Subtract 25 from both sides.
2x=73−25
Subtract 25 from 73 to get 48.
2x=48
Divide both sides by 2.
x= 2/48
Divide 48 by 2 to get 24.
x=24
4.
Solve the following equation for x. Represent
your answer in two forms, (1) with radicals and
(2) with rational exponents: x^4 = y^7
Answer:
7
Step-by-step explanation:
7 =2 hx x e
HELP PLEASE BRAINIEST IF CORRECT!!!!!
Answer:
1/4
Step-by-step explanation:
A store sells notepads in packages of 24 and packages of 6. The organizers of a conference needs to prepare at least 200 notepads for the event. Would they have enough notepads if they bought five packages of 24 and fifteen packages of 6 ?
Answer: Yes they would have enough notepads
Step-by-step explanation:
24 * 5 = 120
15 * 6 = 90
120 + 90 = 210
The organizers will have enough notepads if they bought five packages of 24 and fifteen packages of 6.
Given that, a store sells notepads in packages of 24 and packages of 6.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the number of note pads with five packages of 24
24 × 5 = 120
The number of note pads with fifteen packages of 6
15 × 6 = 90
Total number of note pads
= 120 + 90 = 210
Therefore, the organizers will have enough notepads if they bought five packages of 24 and fifteen packages of 6.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
[tex]\sf 500+60+70[/tex]
............... that just 630
Tavon has a gift card for $170 that loses $4 for each 30-day period it is not used. He has another gift card for $150 that loses $3.50 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?
Answer:
37
Step-by-step explanation:
It will take twenty 30-day periods until the value of the gift cards will be equal. The value of each card when they have equal value is $10
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Let x represent the number of 30-day periods until the value of the gift cards will be equal.
Tavon has a gift card for $90 that loses $4 for each 30-day period it is not used. This means that x 30-day periods, the amount left would be
90 - 4x
He has another gift card for $ 80 that loses $3.50 for each 30-day period it is not used. This means that x 30-day periods, the amount left would be
80 - 3.5x
For the amounts left on each card to be the same, the number of periods would be
90 - 4x = 80 - 3.5x
90 - 80 = - 3.5x + 4x
10 = 0.5x
x = 10/0.5
x = 20
The value of each card when they have equal value is
90 - 4 × 20 = 90 - 80
= $10
Therefore, It will take twenty 30-day periods until the value of the gift cards will be equal. The value of each card when they have equal value is $10
To know more about an expression follow
https://brainly.com/question/14593633
#SPJ2
Evaluate V.
V=LWH
L=3. W = 2. H= 1
Answer:
Answer is 6cm³
Step-by-step explanation:
V = 3 × 2 × 1
= 6cm³
Given g(x)=-2x-1g(x)=−2x−1, find g(-4)g(−4)
Answer:
7
Step-by-step explanation:
The function f is defined by g(x) = -2x-1. so the function defined as g (-4) will be equal to g (-4) = 7.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The function f is defined by g(x)=−2x−1
We need to find the function defined as g(-4).
Then substitute;
g(x)=−2x−1
g(-4 ) =−2 (-4) − 1
g(-4 ) = 8 -1
g(-4 ) = 7
Therefore, The function f is defined by g(x) = -2x-1. so the function defined as g (-4) will be equal to g (-4) = 7.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
at a toy store colton can buy a package of 6 mini footballa for $7.50. or a package of 8 mini footballs for $9.60. wich option has the lesser price per mini football
Answer:
The 6 pack
Step-by-step explanation:
i searched it up
The required option that has a lesser price per mini football is a package of 8.
Given that,
at a toy store, Colton can buy a package of 6 mini footballs for $7.50. or a package of 8 mini footballs for $9.60. wich option has the lesser price per mini football is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
For 6 package footballs the cost of a mini football = 7.50 / 6 = $1.25.
For 8 package footballs the cost of a mini football = 9.60 / 8 = $1.20.
Thus, the required option that has a lesser price per mini football is a package of 8.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ5
Please help
Given the replacement set {2, 3, 4, 5}, solve 6x – 4 =2 x + 16
Answer:
{5}
Step-by-step explanation:
6(5)-4 = 2(5)+16
30-4 = 10+16
26 = 26
Which choices are equivalent to the fraction below? Check all that apply. 30/36
Answer:
A simplified form of 30/36 would be 15/18 then 5/6
Assuming there is only 1 correct answer choice, if there isn't please post all of them
Answer:
[tex]5/6[/tex]
Step-by-step explanation:
We know that any fraction similar to [tex](ka)/(kb)=a/b[/tex].
We also know that [tex]30/36=(6*5)/(6*6)[/tex].
So, we can combine these facts to get that [tex]30/36=(6*5)/(6*6)=\boxed{5/6}[/tex].
(3a ^2 + 1) - ( 4+2a^2)
Answer:
a^2 - 3
Step-by-step explanation:
(3a^2 + 1) - (4 + 2a^2)
3a^2 + 1 - 4 - 2a^2
a^2 - 3
#10 Compare the
numbers below using <, >
or =
-67 _-62
Answer: the answer is -67<-62
Step-by-step explanation:
Answer:
-67<-62
Step-by-step explanation:
How many lead cubes of side 3 cm could be made from a lead cube of side 27 cm?
9 lead cubes of side 3 cm could be made from a lead cube of side 27 cm.
This is because,
27/3= 9
help please.... and typing for extra character
Answer:
it's a.
Step-by-step explanation:
What is the value of 5c + 2, if c= 6
To evaluate the expression, we will need to plug in a 6 everywhere there is a c.
5c + 2
5(6) + 2
30 + 2
32
Hope this helps!! :)
What is the area? IXL assignment
Answer:
(36.4+18.7)x22.3/2 = 614.365
Step-by-step explanation:
up+downxheight/2
what is (4,5) reflected over line x=2
The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
33/2
11
11
33/2
The scale factor as fraction in simplest form is 3/2.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given square on the right is a scaled copy of the square on the left.
So 11 is being multiplied by something to get to 33/2
So 11x = 33/2
Solve for x:
11x = 33/2
x = 33/ 2(11)
x = 3/2
The scale factor as fraction in simplest form is 3/2.
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ2
What is the value of x in this equation? 4x + 6 = -62
Answer:
- 14
Step-by-step explanation:
4x + 6 = - 62
4x = - 62 + 6
4x = - 56
x = - 56 / 4
x = - 14
The value of x in this equation will be; x = -14
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that the equation 4x + 6 = - 62
Here, we need to solve for x
4x + 6 = - 62
4x = - 62 + 6
4x = - 56
x = - 56 / 4
x = - 14
Therefore, the solution will be as;
x = -14,
The value of x in this equation will be; x = 14
Learn more about equations here;
brainly.com/question/25180086
#SPJ2
Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart below.
Given: m∠LOM = m∠JKI;
m∠MON = m∠IKH
Prove: m∠LON = m∠HKJ
The missing statements and their reason are shown below.
What is angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
1. m∠LOM = m∠JKI and m∠MON = m∠IKH
Reason : Given
2. m∠LOM + m∠MON = m∠JKI +m∠MON
Reason :equals are added to another remains equal.
3. m∠LOM + m∠MON = m∠JKI +m∠JKH
Reason :m∠MON = m∠IKH.
4. m∠LOM + m∠MON = m∠LON
m∠JKI +m∠JKH = m∠HKJ
Reason: parts are equal to whole.
5. m∠LON = m∠HKJ
Reason: from point 3 and 4
Learn more about this concept here:
https://brainly.com/question/24019469
#SPJ1
What is the slope of a line perpendicular to the line whose equation is 10x + 6у –84. Fully simplify your answer.
Answer:
The slope is 3/5.
Step-by-step explanation:
I am assuming you mean
10x + 6y = 84
6y = -10x + 84
y = -5/3 x + 14.
So the slope of this line is -5/3 and the slope of a line perpendicular to it is
-1 / -5/3 = 3/5.
Find the area of the shaded portion.
Answer:
Step-by-step explanation:
There's a fact hidden in the diagram that if you do not know it, the problem will be very difficult to solve. The fact is this. If a 60 degree angle is enclosed by the hypotenuse and the other of side of the 60 degree angle. the hypotenuse is 2 times the length of the side.
In this case the hypotenuse is 12. The given side is 6. The third side of the right triangle is 12^1 - 6^2 = 144 - 36 = 108
The length of the third side is sqrt(108) = 6*sqrt(3)= 10.39
The area of one of the triangles is 1/2 * 6 * 10.39 = 31.18
The area of two of the triangles is 2 * 31.18. = 62.36
Now you you have to do is find the area of the unshaded sector
Area = given angle / 360 * pi * r^2
Area = 120/360 * 3.14 * 6^2
Area = 37,68
The area of the shaded part = the area of the 2 triangles - the unshaded sector
The area of the shaded part = 62.36 - 37.68 = 24.68
Round 4.568 to the nearest hundredth.
Answer:
4.57
Step-by-step explanation: