To get Andy’s descent as a unit rate, we can express this in terms of ratio of distance over time.
The total distance he descended is 10 feet while the total time 2 ½ minutes or 2.5 minutes. Therefore his rate is:
rate = 10 feet / 2.5 minutes
rate = 4 feet / minute
a bouquet had 10 flowers and sold for $90 how much would a bouqet of 5 flowers cost?
combining like terms
simplify each expression
-v + 12v
a pizza with a diameter of 8 inches cost $10 a pizza with a diameter of 14 inches costs $16 whitch is the better buy explain you thinking
Final answer:
To find the better buy between the two pizzas, we calculate the cost per square inch for each. After determining the area of each pizza, the calculations show that the 14-inch pizza offers the better value at $0.104 per square inch, compared to the 8-inch pizza's $0.199 per square inch.
Explanation:
To determine which pizza offers the better buy, we need to calculate the price per square inch of each pizza. First, we find the area of each pizza using the formula for the area of a circle, A = πr^2, where r is the radius (half the diameter).
For the 8-inch pizza: radius = 4 inches. So, A = 3.14 × (4)^2 = 50.24 square inches.
For the 14-inch pizza: radius = 7 inches. So, A = 3.14 × (7)^2 = 153.86 square inches.
Next, we calculate the cost per square inch:
8-inch pizza: $10 / 50.24 square inches = $0.199 per square inch.
14-inch pizza: $16 / 153.86 square inches = $0.104 per square inch.
Therefore, the 14-inch pizza offers the better value at approximately $0.104 per square inch, as opposed to the 8-inch pizza's $0.199 per square inch.
which equation shows y +1/5=3x in standard form A.15x+5y=-1 B.15x-5y=1 C.5x-15y=1 D.15x-5y=-1
A seal dove 95 meters below the surface of the water to reach a fish. It traveled 18% of the total distance every second. What was the depth of the seal after 5 seconds? (1 point)
Answer:
Depth of seal in 5 seconds = 85.5 meters
Step-by-step explanation:
Distance between a seal and fish = 95 meters below the surface of the water
It traveled 18% of the total distance every second so distance covered in one second = 18% of 95
= 95×0.18
= 17.10 meters
And distance covered in 5 seconds will be = 17.10 × 5 = 85.50 meters
Therefore, depth of the seal in 5 seconds will be 85.5 meters
How many more barrels of gasoline then diesel were produced last year gasoline 34% diesel 29% total crude oil -60 million barrels Total
Answer: 3 million barrels
Step-by-step explanation:
Given :- Total crude oil= 60 million barrels
Quantity of gasoline = 34% of total crude oil
[tex]=0.34\times60\text{ million barrels}\\=20.4\text{ million barrels}[/tex]
Quantity of diesel = 29% of total crude oil
[tex]=0.29\times60\text{ million barrels}\\=17.4\text{ million barrels}[/tex]
Clearly, Quantity of gasoline is more than Quantity of diesel
difference = Quantity of gasoline-Quantity of diesel
[tex]20.4\text{ million barrels}-17.4\text{ million barrels}\\=3\text{ million barrels}[/tex]
Therefore, The production of gasoline is 3 million barrels more than diesel last year.
3 million more barrels of gasoline then diesel were produced and this can be determine by using the arithmetic operations.
Given :
Gasoline is 34% of total crude oil.Diesel is 29% of total crude oil.Total crude oil = 60 million barrels.The quantity of Gasoline = 34% of total crude oil
[tex]=\dfrac{34}{100}\times 60[/tex]
= 20.4 million barrels
The quantity of Diesel = 29% of total crude oil
[tex]=\dfrac{29}{100}\times 60[/tex]
= 17.4 million barrels
Quantity of Gasoline - Quantity of Diesel = 20.4 - 17.4 = 3 million barrels
Therefore, 3 million more barrels of gasoline then diesel were produced.
For more information, refer the link given below:
https://brainly.com/question/22122594
Katie is drawing dots on cards to show ways to make 5. Draw dots for Katie. Write addition sentences for two of the cards.
C when they brought their baseball cards, Ethan’s card worth $4 more than Maysa’s card
D when they brought their baseball cards,Ethan card was worth $5 more than Maysa’s card
Answer:
A is the answer because $5 is the amount when Maysa started out, and $1 is the amount when Ethan started out. So it is A .
Step-by-step explanation:
solve the system of equation 2x-9y=14 x=-6y+7
To solve such problems we must know about the system of equations.
The system of the equation will give a unique solution at point (7, 0).
Given to us2x - 9y = 14x= - 6y + 72x-9y=14
as the value of x is already given in equation2, therefore, substituting the value of x in equation 1, we get,
[tex]2(6y+7)-9y=14[/tex]
[tex]-12y+14-9y=14\\ -12y-9y =14-14\\ -21y = 0\\ y =0[/tex]
Equation 2[tex]x= - 6y + 7[/tex]
Substituting the value of y,
[tex]x= - 6(0) + 7\\ x= 7[/tex]
VerificationThe system will give a unique solution at points x=7, and y=0, this can be verified by plotting the two equations on the graph.
Hence, the system of the equation will give a unique solution at point (7, 0).
Learn more about the system of equation:
https://brainly.com/question/12895249
a lab tech wishes to mix 70% saline and 20 % saline to prepare 500ml of a 40% solution what amount should be used in the mix
Answer:
20 and 400 and 70 and 100
The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 108. What are their ages?
The ages of Edna, Ellie, and Elsa are 35, 36, 37 respectively.
What is meant by consecutive integers?For any integer say 'a', its consecutive integers will be → (a + 1), (a + 2), (a + 3), .... , (a + n).
Given is the sum of ages of Edna, Ellie, and Elsa is 108.
Assume that the age of Edna is x.
Then the ages of Ellie and Elsa will be (x + 1) and (x + 2) respectively.
From the question we can write -
x + (x + 1) + (x + 2) = 108
3x + 3 = 108
3x = 105
x = 35
So, we can write -
Age of Edna = 35
Age of Ellie = 36
Age of Elsa = 37
Therefore, the ages of Edna, Ellie, and Elsa are 35, 36, 37 respectively.
To solve more questions on Ages, visit the link below-
https://brainly.com/question/2284261
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What is the answer to 46.25 divide by 5 - 2
jeremy approaches three people who do not want to buy any plants however they wish to donate money for the fundraiser when Jeremy delivers the plants one week later. if the people promise to donate a total of $14.40, what will be the average cash donation?
distributive property of (9×3)+(9×8)
help with geometry pleasee
Angle Eand angle F are supplementary. the measure of angle E is 54 more than the measure of angle F. find the measure of each angle
Find the product? I’m in desperate need of a little help.
I don’t understand number 4
what is the value of the 4 in the number,5,679.04
The value of the 4 in the number 5,679.04 is 4,000.
Explanation:The value of the 4 in the number 5,679.04 is 4,000. In the given number, 5,679.04, the digit 4 is in the thousands place, which means it represents 4,000.
Final answer:
The value of the 4 in the number 5,679.04 is in the thousandths place.
Explanation:
Place value is a fundamental concept in mathematics that assigns a numerical value to each digit in a number based on its position. The rightmost digit represents the units, the next digit to the left represents tens, and so on.
For example, in the number 60, the digit 6 is in the tens place, indicating 6 tens or 60. Understanding place value is crucial for performing arithmetic operations and comprehending numerical relationships.
Thus,
The value of the 4 in the number 5,679.04 is 4,000.
In the given number, 5,679.04, the digit 4 is in the thousands place, which means it represents 4,000.
A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502 customers a day. About how many customers does the local shop serve in a day
Answer:
116
Step-by-step explanation:
502/9*2
About 57.8*2
115.6
Round up to 116
The local shop serves about 116 customers a day.
Answer:
The correct answer should and is 116.
simplify the expression 5 square2 square18
Which set of numbers is a geometric sequence?
2, 3.5, 4, 5.5,
4, 12, 36, 108,
35, 29, 23, 17,
256, 64, 16, 8,
Answer:
4, 12, 36, 108 is set of geometric sequence.
Step-by-step explanation:
Given : geometric sequence.
To find : Which set of numbers is a geometric sequence.
Solution : We have given geometric sequence.
In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Like : {a, ar, ar², ar³, ... }, where , a = first term , r = common ration .
We can see sequence 4, 12, 36, 108 in form of 4 , 4*3 , 4 (3)² , 4( 3)³.
Here, common ration is 3.
Therefore, 4, 12, 36, 108 is set of geometric sequence.
HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!!!
What is the distance between point A (-1,3) and point B (-7,3)?
A. 1 unit
B. 3 units
C. 6 units
D. 8 units
solve the proportion 3x/10=9/4
Macon eats 33 animal crackers as a snack every day after school. How many animal crackers does she eat during a 5 day school week
Please help me with math please, they are number lines.
Find the y-intercept of the line:
9x + 3y = -18
Question 7 options:
(0,-6)
(0,6)
(-2,0)
(3,9)
Answer: (0,-6)
Step-by-step explanation:
425,. ,339 what is in between
Someone came into a store and stole 100 dollars from the register. The person returned 5 minutes later and purchased 70 dollars in merchandise with the same 100 dollars he stole I gave him 30 dollars change. How much money did the store loose.
Let f(x) = 6x2 + 5 and g(x) = 3x - 5. Find f(g(0)).