Final answer:
To find the total amount Gabriela must pay for the basketball and soccer ball including sales tax, add the cost of the items, convert the tax rate to a decimal, calculate the tax amount, and then add it to the subtotal for a total of $119.35.
Explanation:
To calculate the total amount Gabriela must pay after purchasing a basketball for $78 and a soccer ball for $32 with an 8.5% sales tax, we need to follow these steps:
Firstly, we calculate the subtotal by adding the price of the basketball and the soccer ball: $78 + $32 = $110.
Next, we convert the sales tax rate from a percentage to a decimal by dividing by 100: 8.5% ÷ 100 = 0.085.
Then, we calculate the total sales tax by multiplying the subtotal by the sales tax rate: $110 × 0.085 = $9.35.
Lastly, we add the sales tax to the subtotal to find the total amount Gabriela must pay: $110 + $9.35 = $119.35.
Therefore, after including the sales tax, the total amount Gabriela must pay is $119.35.
What is the value of x when 3/x+6=6/8x-12
Harry's fitness trainer recommends that Harry drink 8 fluid ounces of water 8 times a day. Harry has a water bottle that holds 1 1/4 pints of water when filled. Today he has filled the water bottle three times and drank all of the water each time. Harry claims that he drank the total amount of water recommended by his fitness trainer. Explain why hair is claim is not true
Amount of fluid recommended by Harry's fitness trainer =8 fluid ounces of water 8 times a day = 8x8=64 fluid ounces.
Amount of fluid Harry water bottle holds= [tex] 1\frac{1}{4}=1.25 pints [/tex]
Amount of fluid Harry drinks when he fills the bottle 3 times = 1.25x3=3.75 pints.
1 pint = 16 fluid ounce
3.75 pint =16x3.75 =60 fluid ounces.
Harry drank only 60 fluid ounce compared to 64 fluid ounce his trainer recommended.
Harry claims that he drank the total amount of water recommended by his fitness trainer is not true.
Tori Chang and her cousin, Sumi decide to open an accounting business. They will need a total of $60,000 to get the business started. Sumi has spent a lot of time getting the business set up, so Tori agrees to contribute $8,000 more than Sumi. How much money will Tori contribute?
What is 15% of 40% of $180
Caitlin has 4 and 3/4 lb of place use 1 1/10 pound to make a cup and another 2 pounds to make a jar how many pounds are left
A dog that weighs 15 pounds should eat 2 1/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 34 pounds?
Final answer:
To determine how much the 34-pound dog should eat, set up a proportion based on the 15-pound dog's food intake. After setting up the proportion 15 pounds / 2 1/8 cups = 34 pounds / x cups and solving it, we find that the 34-pound dog should eat approximately 4.82 cups per day.
Explanation:
The question deals with proportional relationships and mathematics, specifically in finding out how much dog food to feed a dog based on its weight. To solve this problem, we need to establish a ratio or proportion from the information provided and then use it to find out how much food the 34-pound dog should eat.
A 15-pound dog eats 2 1/8 cups of dog food per day. We convert 2 1/8 cups to an improper fraction which is 17/8 cups. Now, we set up the proportion:
15 pounds / (17/8 cups) = 34 pounds / x cups
By cross-multiplying we have:
15 * x = 34 * (17/8)
x = (34 * 17) / (8 * 15)
x = (578) / (120)
After simplifying the fraction, we obtain x = 4.8166 which we can round to 4.82 cups per day for a 34-pound dog.
Jenny live 6 1/4 miles from school. Raymond lives 5 1/2 miles from school. How much farther from school does Jenny live then Raymond? Write an equation and solve it
To find out how much farther Jenny lives from school than Raymond, we subtract Raymond's distance from Jenny's, converting both to improper fractions to subtract easily, resulting in Jenny living 3/4 of a mile farther than Raymond.
Explanation:The question asks how much farther from school Jenny lives compared to Raymond. Jenny lives 6 1/4 miles from school, and Raymond lives 5 1/2 miles from school. To find out how much farther Jenny lives from the school than Raymond, we can write an equation and solve it.
Let ‘d’ represent the difference in distance between how far Jenny lives from the school and how far Raymond lives from the school. The equation can be written as:
d = 6 1/4 miles - 5 1/2 miles
To solve this, we first convert the mixed numbers to improper fractions. Therefore, 6 1/4 miles becomes 25/4 miles, and 5 1/2 miles becomes 11/2 miles. Our equation now looks like this:
d = 25/4 miles - 11/2 miles
We need a common denominator to subtract these fractions, which is 4 in this case. So we convert 11/2 miles into 22/4 miles. The revised equation is:
d = 25/4 miles - 22/4 miles
When we subtract 22/4 from 25/4, we find d = 3/4 miles. Therefore, Jenny lives 3/4 of a mile farther from school than Raymond.
What are the roots of the polynomial equation x^3-10x=-3x^2+24? Use a graphing calculator and a system of equations.
a. -24, -3, 12
b. -12, 3, 24
c. -4, -2, 3
d. -3, 2, 4
Answer : C
the roots of the polynomial equation x^3-10x=-3x^2+24
We use a graphing calculator
Graph the left hand side expression using graphing calculator
We graph [tex]y=x^3 - 10x[/tex]
Then we graph the right hand side expression using graphing calculator
[tex]y=-3x^2+24[/tex]
so we got two system of equations
The intersection of two graphs is our solution
The graph is attached below
We can see that the graph intersects at 3 points
(-4, -24) (-2,12) and (3,-3)
So the roots are -4, -2 , 3
solve the equation what is -12=3x+3
1.-5
2.-2
3.0
4.3
In this problem, you are tasked to find the value of x.
-12 = 3x + 3
This is the same as:
3x + 3 = -12
You have to transpose the 3 to the other side to solve the equation.
3x = -12 – 3
3x = -15
x = -5
All the answers to 6ft.12 in
Need help in geometry!!!
Look at this prism and its net. Rectangular prism with length labeled 5 meters, width labeled 7 meters, and height labeled 12 meters. Net of the same rectangular prism with the same dimensionsn labeled. What is the surface area of this rectangular prism? cm²
Answer:358
Step-by-step explanation:just because it is
A recipe for lemon cranberry pound cake calls for 80 milliliters of lemon juice and 240 milliliters of plain yogurt. How many liters of lemon juice and yogurt are needed to make 11 cakes?
Answer: 3 liters 520 milliliters
Step-by-step explanation:
80 ml + 240ml = 320ml
total amount for 11 cakes 320ml x 11 3520ml
total amount for 11 cake conversion 3520ml divided by 1000 = 3 remainder 520
Answeer is 3 liters 520 mililiters
Why is 25 mg lighter than 25 cg
PLZ HELP FOR BRAINLESS AND POINTS
Write a real-world problem that could be represented by the inequality. 2x + 5 > 23
Answer:
you have 2x oranges and you add 5 more but you still have 23 apples more than oranges
Two teams of interns are wrapping donated gifts at a hospital. if the teams work alone, team a can wrap all of the gifts in 7 hours, and team b can wrap all of the gifts in 5 hours. how many hours will it take the interns to wrap all of the gifts if both teams work together? round the answer to the nearest half hour.
Final answer:
When both teams work together, they can wrap the gifts with a combined rate of 12/35 of the work per hour. It would take them 35/12 hours, which is approximately 2.92 hours. Rounded to the nearest half-hour, both teams will take about 3 hours to wrap all of the gifts.
Explanation:
To determine the time it would take for both teams of interns to wrap the gifts when working together, we need to add their work rates. Team A can wrap the gifts in 7 hours, which means their rate is 1/7 of the work per hour. Team B can wrap the gifts in 5 hours, giving them a rate of 1/5 of the work per hour.
When combined, the rate at which they can wrap the gifts together is the sum of their individual rates:
Team A's rate: 1/7
Team B's rate: 1/5
Combined rate: 1/7 + 1/5 = 5/35 + 7/35 = 12/35 of the work per hour.
To find out how many hours it will take them to wrap all of the gifts together, we divide the entire job (1) by their combined rate (12/35):
1 / (12/35) = 35/12 hours = 2.9166... hours.
Rounded to the nearest half hour, they would take approximately 3 hours to wrap all of the gifts.
helen didvided her colored pencils evenly among herself and three freinds. write an expression to represent the number of pencils each person received
The mathematical expression to represent the number of colored pencils each person received is [tex]\frac{P}{4}[/tex], where P represents the total number of pencils.
The question asks us to write an expression to represent the number of colored pencils each person received when Helen divided her pencils evenly among herself and three friends. To do so, we should first denote the total number of colored pencils Helen has as P. Since there are four people in total (Helen and her three friends), we need to divide the total number of pencils by four.
The expression to represent the number of colored pencils each person received is thus [tex]\frac{P}{4}[/tex]. This formula can be used to calculate how many pencils each person would get if you replace P with the actual number of pencils.
The volume of a cylinder is 24(pi) ft3. What is the volume of a cone that has the same base and height?
The access code for a gym lockergym locker consists of three digits. each digit can be any number from 00 through 77, and each digit can be repeated. complete parts (a) through (c). (a) find the number of possible access codes. (b) what is the probability of randomly selecting the correct access code on the first try? (c) what is the probability of not selecting the correct access code on the first try?
Add -4 + 2/3 . A) -52/3 B) -42/3 C) -32/3 D) -31/3
Emma buys and sells truck parts. She bought two tires for $35.00 each and later sold them for $65.00 each. She bought three rims for $75.00 each and later sold them for $136.00 each. She bought five headlight covers for $4.00 each and later sold them for 15.00 each. What is Emma's total profit?
Answer:
Emma made a profit of $298.00
Step-by-step explanation:
Emma bought two tires = $35.00 each
Cost of two tires = 35 × 2 = $70.00
She bought three rims = $75.00 each
Cost of three rims = 75 × 3 = $225.00
She bought five headlight covers = $4.00 each
Cost of 5 headlight covers = 5 × 4 = $20.00
Total Cost price of the items = 70 + 225 + 20 = $315.00
She sold both tires = $65.00 each
= 65 × 2 = $130.00
She sold three rims = $136.00 each
= 136.00 × 3 = $408.00
She sold 5 headlight covers = $15.00 each
= 15 × 5 = $75.00
Selling price of all the items = 130 + 408 + 75 = $613.00
Profit = selling price - cost price
P = 613.00 - 315.00 = $298.00
Emma made a profit of $298.00
collins cafeteria offers a selection of 5 meats,six vegetables and 8 deserts.in how many ways can you select a meal of 2 different meats,3 different vegetables and 2 different deserts
if slope =2;goes through(-1,4) y =
A particularly long traffic light on your morning commute is green on 20% of the mornings. assume that each morning represents an independent trial. (a) what is the probability that the first morning that the light is green is the fourth morning?
whats the slope of this graph??
A compact disc costs $17.97. The sales tax rate is 5%. How much will the total cost be for this compact disc?
What is the value of the expression shown below?
3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 (4 points)
4 and 1 over 32
4 and 9 over 16
6 and 1 over 8
6 and 1 over 32
Answer:
4 and 9 over 16
Step-by-step explanation:
The expression is 3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 . it can be represented mathematically as
3 + (2 + 8)^2 ÷ 4 × (1/2)^4
using PEMDAS
parenthesis come first
3 + 10^2 ÷ 4 × (1/2)^4
exponential comes next
3 + 100 ÷ 4 × 1/16
3 + 25 × 1/16
3 + 25/16
(48 + 25)/16
73/16
4 9/16
Answer:
I think the answer is B which is 4 9/16.
Step-by-step explanation:
if Trigg spends 23.50 on gas, what is the total distance the boys could travel
To determine the total distance Trigg could travel with $23.50, you divide this amount by the cost per gallon of gas and then multiply by the car's MPG. Using an MPG of 27 and a gas price of $2.86 per gallon as example figures, Trigg could travel approximately 221.859 miles.
To calculate the total distance Trigg could travel with $23.50 spent on gas, we need to know the car's fuel efficiency (miles per gallon) and the current gas price per gallon. Since this information isn't provided directly in your question, let's use the example information provided. Assuming a car gets 27 miles per gallon and gas costs $2.86 per gallon, we first calculate how many gallons Trigg can buy with $23.50:
Divide $23.50 by the cost of a gallon of gas ($2.86) to find out how many gallons he can purchase:Therefore, with $23.50 and the given fuel efficiency and gas price, Trigg could travel approximately 221.859 miles.
Which equation represents an inverse variation function that passes through the point (4,5) and (10,2)
Answer:
[tex]y*x=20[/tex] or [tex]y=20/x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
so
Find the value of k
For [tex](4,5)[/tex]
[tex]y*x=k[/tex] -----> [tex]5*4=k[/tex] ----> [tex]k=20[/tex]
For [tex](10,2)[/tex]
[tex]y*x=k[/tex] -----> [tex]2*10=k[/tex] ----> [tex]k=20[/tex]
The equation that represent an inverse variation is equal to
[tex]y*x=20[/tex] or [tex]y=20/x[/tex]
Create a 5th° polynomial with four terms in standard form