The requreid, The absolute value equation to represent this situation is 0 = |x - 50| + 8 and Elena finds a watch that costs $50. The other two watches are priced at $42 and $58.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Part A:
Let x be the price of the first watch she finds. Then the price of the second watch is x - 16 (since it is $8 below her budget).
The absolute value equation to represent this situation is:
0 = |x - 50| + 8
Part B:
To solve the absolute value equation, we need to consider two cases:
Case 1: x - 50 is positive
If x - 50 is positive, then we can write the equation as:
0 = x - 50
x = 50
This means that the watch Elena finds costs $50, which is exactly her budget.
Case 2: x - 50 is negative
If x - 50 is negative, then we can write the equation as:
0 = -(x - 50)
0 = -x + 50
x = 50
Again, this means that the watch Elena finds costs $50.
So, Elena finds a watch that costs $50. The other two watches are priced at $42 and $58.
Learn more about function here:
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2/7+(-3/4) + (-2/7)+4/3 please show all work! Thank you so much!
To add these fractions, we need to find a common denominator. The least common multiple of 7, 4, and 3 is 84, so we will use 84 as the common denominator.
2/7 + (-3/4) + (-2/7) + 4/3
= (2/7) * (12/12) + (-3/4) * (21/21) + (-2/7) * (12/12) + (4/3) * (28/28) (multiplying each fraction by an equivalent form to get a common denominator of 84)
= 24/84 - 63/84 - 24/84 + 112/84 (simplifying each fraction)
= -51/84 + 112/84 (combining like terms)
= 61/84 (simplifying the resulting fraction)
Therefore, 2/7 + (-3/4) + (-2/7) + 4/3 = 61/84.
Answer:
7/12
Step-by-step explanation:
2/7 + (-3/4) + (-2/7) + 4/3
2/7 - 3/4 - 2/7 + 4/3 (+ * - = -)
2/7 - 2/7 - 3/4 + 4/3 (Distribution Property)
0 - 3/4 + 4/3
- 3/4 + 4/3
4/3 - 3/4 (Distribution Property)
LCM = 3 * 4
= 12
(16 - 9) / 12
7/12
So, the final answer is 7/12.
Hope my answer helps you ✌️
Mark BRANLIEST
how do i simplify an improper fraction
The cell phone company allows all users 450 text messages a month. Any text messages over the allowed amount are charged $0.25 per message. Craig only has $26 extra to sped on his cell phone bill. how many messages can he go over the allowed amount for the month without breaking his budget of $26? Let p represent the amount of text messages Craig can go over.
Inequality: ___________
Craig can send and receive ______________ extra text messages without breaking his budget of $26
Let's first find the total cost of the text messages Craig can send in a month. Craig is allowed to send 450 text messages without any additional charges. If he sends more than that, he will be charged $0.25 per message. Let's say he sends x additional messages over the 450 allowed:
Cost of additional messages = $0.25 * x
So, the total cost of Craig's text messages in a month is:
Total cost = Cost of allowed messages + Cost of additional messages
Total cost = $0 + $0.25x
Total cost = $0.25x
We know that Craig has a budget of $26 for his cell phone bill. We can set up an equation to represent this:
Total cost ≤ $26
Substituting the expression for the total cost of Craig's text messages, we get:
$0.25x ≤ $26
Dividing both sides by $0.25:
x ≤ 104
Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.
Answer: he can go over by 104
Step-by-step explanation:Total cost = $0 + $0.25x
Total cost = $0.25x
Total cost ≤ $26
Substituting the expression for the total cost of Craig's text messages, we get:
$0.25x ≤ $26
Dividing both sides by $0.25:
x ≤ 104
Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.
have a good day
theta is a right angled triangle tan theta= 23/52 work out the value of theta give your answer to 1 decimal place
Answer:
θ = 23.9°
Step-by-step explanation:
tan θ = 23/52
θ = arc tan (23/52)
=23.86°
= 23.9° to one decimal place
PLEAZ HELP I NEED TO FINISH THIS QUIZZZZ
Answer: B
Step-by-step explanation:
The angles of a regular hexagon are all equal.
Answer: Your answer will be B) 120°
Step-by-step explanation: All the sides of a hexagon are the same so it's the same as the other degree.
What is 2x+21? Please it's due in about 15 minutes!!!
Answer:
The value of x is 21
Step-by-step explanation:
2x+21 is a linear equation with one unknown, x. To solve for x, we can use the following steps:
1. Subtract 21 from both sides of the equation. This will isolate x on the left-hand side of the equation.
```
2x+21 - 21 = x
```
2. Divide both sides of the equation by 2. This will divide both sides of the equation by 2, which will cancel out the 2 on the left-hand side of the equation, leaving x by itself.
```
x = (2x+21)/2
```
3. Simplify the right-hand side of the equation.
```
x = x/2 + 21/2
```
4. Combine like terms on the right-hand side of the equation.
```
x = (1/2)x + 21/2
```
5. Subtract (1/2)x from both sides of the equation. This will isolate x on the left-hand side of the equation.
```
x - (1/2)x = (1/2)x + 21/2 - (1/2)x
```
6. Simplify the right-hand side of the equation.
```
(1/2)x = 21/2
```
7. Multiply both sides of the equation by 2. This will multiply both sides of the equation by 2, which will cancel out the (1/2) on the left-hand side of the equation, leaving x by itself.
```
2*(1/2)x = 21/2 * 2
```
8. Simplify the right-hand side of the equation.
```
x = 21
```
Therefore, the value of x is 21.
PLSSSS HELLP MEEEE This is confusing to me and I am not good at this
Answer: 21.4 pounds
Step-by-step explanation:
To calculate the amount of weight that is made up of body fat, you need to multiply the weight by the body fat percentage.
Weight of body fat = 162 pounds x 13.2% = 21.384 pounds
Then, round it to the nearest tenth which is, 21.4
Therefore, approximately 21.4 pounds of the individual's weight is made up of body fat.
Answer: 21.4 lb
Step-by-step explanation:
The question is asking how much weight consists of body fat.
We know that 13.2% of the total weight is body fat, and the total weight is 162 pounds.
Multiply to find out the body fat weight.
Percentage as a decimal over 1 * 162
0.132 * 162 = 21.384 lb
Round to nearest tenth: 21.4 lb
A sandwich store charges $21 to have 3 turkey subs delivered and $27 to have 4 delivered. a. Is the relationship between number of turkey subs delivered and amount charged proportional? Explain how you know. b. How much does the store charge for 1 additional turkey sub? c. Describe a rule for determining how much the store charges based on the number of turkey subs delivered.
Help me please. Thanks in advanced
Answer:
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Therefore, we can set up an equation using the measures of the angles in triangle ABC:
ZABD + CBD + ABC = 180
Substituting in the given measures, we get:
(0.12x + 64) + (0.13x + 28) + ABC = 180
Simplifying and solving for x, we get:
0.25x + 92 + ABC = 180
ABC = 180 - 0.25x - 92
ABC = 88 - 0.25x
We know that the measure of angle ABC is 0.11x + 12. Substituting this into the equation for ABC, we get:
0.11x + 12 = 88 - 0.25x
Solving for x, we get:
0.36x = 76
x = 211.11
Therefore, the value of x is approximately 211.11.
Answer:
x = 352
Step-by-step explanation:
From the given Linear Pair, we can observe that ∠ABD and ∠CBD form a Straight Angle which is 180°.
∠ABD = 0.12x + 64°
∠CBD = 0.13x + 28°
Now we can understand that ∠ABD + ∠CBD = ∠ABC (Linear Pair)
∠ABC = 180°
So, ∠ABD + ∠CBD = 180°
(0.12x + 64°) + (0.13x + 28°) = 180°
(0.12x + 0.13x) + (64° + 28°) = 180° (Distribution Property)
0.25x + 92° = 180°
0.25x = 180° - 92°
0.25x = 88°
x = 88/0.25
x = 352
Hope my answer helps you ✌️
Mark BRAINLIEST
Im offering 10 points
Answer:
138
I hope i was able to help u,if i was ,please mark me brainliest pls
Answer:
138. Steps are shown above.
Use the table to determine the relationship between yards and feet.
Yards Feet
1 3
2 ?
3 ?
4 ?
Which of the following graphs matches the relationship shown in the table?
A. Y
B. Z
C. W
D. X
Answer: Y
Step-by-step explanation:
Remember: 1 yard = 3 feet. Consider this for all the choices!!
W starts at (0, 1) making it automatically incorrect as 0 yards cannot equal a foot, it equals zero feet.
X has a point marked (1, 0) making it automatically incorrect as 1 yard does not equal to 0 feet.
Z starts with the point (0, 3) making it automatically incorrect as 0 yards cannot equal 3 feet,
Y does not have any incorrect points, and properly illustrates that 1 yard is equal to 3 feet with the points provided, Y is correct
!!!!!ATTENTION!!!!! PLS helps (50 POINTS)
Answer:
Step-by-step explanation:
38.13 inch² (Approximately)
Step-by-step explanation:The following figure has a Semicircle and a Rectangle.
The length of the Rectangle = 6 inches
The breadth of the Rectangle = 4 inches
Area of a Rectangle = Length * Breadth
= 6 * 4
= 24 inch²
Diameter of the Semicircle = 6 inches
Radius of the Semicircle = Diameter/2
= 6/2
= 3 inches
Area of a Semicircle = πr²/2
= 3.14 * 3²/2
= 3.14 * 3 * 3/2
= 3.14 * 9/2
= 1.57 * 9
= 14.13 inch² (Approximately)
Total area of the figure = Area of the rectangle + Area of the Semicircle
= 24 + 14.13
= 38.13 inch² (Approximately)
Hope my answer helps you.
:)
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
AHHH I NEED THESE QUESTIONS !!!!!!!
Answer: 540 degrees! :D
Step-by-step explanation:
So you can see, there is a little angle on the inside of the pentagon already. How many letters are there on each of the little corners? 5.
You would multiply 108 times 5. That comes out to 540 degrees!
Hope this helps! :)
Answer: It's B) 540°
Step-by-step explanation: I just multiplied 108 by 5 since there are 5 angles on that pentagon.
Hope It Helped! :D
0.75(s+13)=
Please help!
Answer:0.75x+9.75
Step-by-step explanation:
First, you will have to distribute (multiply) the 0.75 to both the s and 13 inside the parenthesis which would get you 0.75x+9.75
help me Please asap in inserted the picture NUMBER 6 BTW
Answer:
The length is 192ft
Step-by-step explanation:
To find the length you have to find the scale used to draw the image which would be the width given divided by the width in yards then multiply the given length by the scale to get the length in yards.
Hope this helps :)
Find the perimeter and the area of the figure.
5 m
7 m
5m
11 m
Answer:
56 is the perimeter!!
Step-by-step explanation:
Help me solve question 2; both parts.
PLS QUICK
Nathan is using the random number string below in a simulation. He wants to determine how many people he has to meet before he finds one that is left-handed.
1 5 8 9 7 8 2 3 6 7 0 5 6 5 9 3 7 0 9 4
He lets each number in the string represent a person, with 0 representing left-handed people and 1 through 9 representing right-handed people. According to the simulation, how many people does he have to meet until he finds the first left-handed person?
Answer:11people
Step-by-step explanation:
Use the table to determine the relationship between feet and inches.
Feet Inches
1 12
2 ?
3 ?
4 ?
Which of the following graphs matches the relationship shown in the table?
A. Y
B. W
C. Z
D. X
Answer: Y
Step-by-step explanation: because 1 x 12 is 12 and 2 x 12 is 24
A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet steel costs $25 for each square meter, how much will the sheet steel cost in total?
Answer:
Step-by-step explanation:
no picture
......................................
Answer:
480
Step-by-step explanation:
PLS HELP ME DO THIS QUESTION PLSPLSPLS
QUESTION IS ON THE PIC BELOW
Can someone help?? Thanks
Answer:17.6
Step-by-step explanation:
If 60% was taken off then what woold be left would be 40%. 40% translated into a decimal is 0.4 if you multiply that by 44 you would get the answer of 17.6.
Answer: $17.6
Step-by-step explanation:
100%-60%=40%. 40/100=0.4 and then you multiply 0.4x44=17.6. The price is now $17.6
Of 100 students surveyed, 42 own a dog, 34 own a cat, 15 own a dog and cat, and 9 own neither a dog nor a cat. Based upon the results, how many of the next 20 students surveyed would you expect to own a dog and cat. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
PLEASE HELP!!!!
Answer: 3
Step-by-step explanation: 15% of the people surveyed had both a cat and a dog, so you would find 15% of 20. Find 15% of 20 by doing 20 x .15
Please help will give brainlest and special thanks
Answer:
To find the x-intercept, substitute in
0 for y
and solve for x. To find the y-intercept, substitute in
0 for x
and solve for y.
x-intercept(s): (−5,0)
y-intercept(s): (0,10)
Step-by-step explanation:
90 30 + 50 +(2x+10)=90
Hey! YOU! STOOOP! HELP ME ITS EASY BUT IM FOOLISH!
What is the difference between factors of a number and multiples of a number?
Use the number 25 as an example.
Answer:
Factors are like numbers that are multiplied together to get that number
Using 25:
The factors of 25 are 1,5,25
1*25 = 25 and 5*5 = 25, so they are the factors of 25
Multiples are the products of the specified number and another number
Using 25:
Some of the multiples of 25 are 25, 50, 75, 100 and so on
25*1 = 25, 25*2 = 50, 25*3 = 75, 25*4 = 100, so they are the multiples of 25
Hope this helps!
A store marks up their items by 30% to get the retail price. the store bought a bowl for $17. What is the retail price?
Answer:324
Step-by-step explanation:
ifdosfsf
Answer:
The retail price is $17 × 1.3 = $22.10.
PLEASE HELP IM BEGGING
what is the estimate of the figure below
Please help will give brainlest and special thanks
Answer:
30
Step-by-step explanation:
3x+ 10= 100
-10 -10
3x=90
divide both sides by 3 nd you get 30
How many pounds of candy that sells for $1.25 per Ib must be mixed with candy that sells for $0.75 per lb to obtain 20 lb of a mixture that should sell for $1.20 per lb?
Let x be the number of pounds of candy that sells for $1.25 per lb that we need to mix, and let y be the number of pounds of candy that sells for $0.75 per lb. We can set up a system of equations to represent the problem:
x + y = 20 (we need a total of 20 pounds of candy in the mixture)
1.25x + 0.75y = 1.20(20) (the value of the mixture should be $1.20 per lb)
Simplifying the second equation, we get:
1.25x + 0.75y = 24
Multiplying the first equation by 0.75 and subtracting it from the second equation, we can eliminate y:
1.25x + 0.75y = 24
0.75x + 0.75y = 15
0.5x = 9
Dividing both sides by 0.5, we get:
x = 18
Therefore, we need 18 pounds of candy that sells for $1.25 per lb and 2 pounds of candy that sells for $0.75 per lb to make a 20-pound mixture that sells for $1.20 per lb.
