There are (713)3 ⋅ 70 strawberries in a field. What is the total number of strawberries in the field?
A. 1
B. 7 ^16
C. 7 ^17
D. 7 ^39
Answer:
[tex]7^{39}[/tex]
Step-by-step explanation:
We have been given that there are [tex](7^{13})^3\cdot 7^0[/tex] strawberries in a field.
Using exponent property [tex]a^0=1[/tex], we will get:
[tex](7^{13})^3\cdot 1[/tex]
[tex](7^{13})^3[/tex]
Using exponent property [tex](a^b)^c=a^{b*c}[/tex], we will get:
[tex]7^{13*3}[/tex]
[tex]7^{39}[/tex]
Therefore, the total number of strawberries in the field is [tex]7^{39}[/tex].
Lisa's pet shop has 2 fish tanks. Tank A contains smaller fish who are fed 1 gram of food each per day. Tank B contains larger fish who are fed 2 grams of food each per day. If Tank B contains 2/3 the number of fish that Tank A contains, will Lisa ever feed both tanks the same amount of food? How many of each type of fish of fish would she need to have?
Answer:
in tank A, we need 1 gram of food per fish.
In tank B, we need 2 gramms of food per fish.
If Na is the number of fish in tank A and Nb is the number of fish in tank B.
Then, the amount of food that the tank A needs is:
Na*1g of food
The tank B needs:
Nb*2g of food
And we know that Nb = 2/3*Na
we can replace it and get:
2/3*Na*2g
Then if both tanks need the same amount of food, we should have that both of these equations are equal:
food of tank A = food of tank B
Na*1g = (2/3)*Na*2g
we solve this for Na
Na = (2/3)*Na*2g/1g = (2/3)*Na*2 = (4/3)*Na
Na = (4/3)*Na
This equation has no solution, and from here we can conclude that if Nb = 2/3*Na, she will never give the same amount of food to both tanks.
b) knowing that the amount of food neded in tank A is half the amount for tank B, then we need the doulbe of fish in the tank A than in the tank B
Na = 2*Nb
Lisa cannot feed both tanks the same amount of food under the given conditions. If Tank A has 'a' smaller fish and Tank B has 2/3 of the number of fish in Tank A, then Tank A would require 'a' grams of food while Tank B would require 4/3 'a' grams, which are not the same.
The student is asking whether Lisa can ever feed the same amount of food to both Tank A and Tank B, given that the larger fish in Tank B eat 2 grams of food per day and there are 2/3 the number of fish in Tank B compared to Tank A, which contains smaller fish that eat 1 gram of food per day. To determine if there is a scenario where Lisa can feed both tanks the same amount of food, we will need to set up an algebraic equation.
Step-by-step calculation:
Let the number of smaller fish in Tank A be represented by the variable a.The number of larger fish in Tank B would then be 2/3a as Tank B contains 2/3 the number of fish that Tank A contains.Calculate the total food for Tank A: a fish × 1 gram/fish = grams.Calculate the total food for Tank B: 2/3a fish × 2 grams/fish = 4/3a grams.Set the total food for both tanks equal to each other to find the condition when Lisa feeds the same amount to both tanks: a = 4/3a.Solve for a: This equation has no solution because Tank A cannot contain the same number of grams of food as 4/3 times itself.Therefore, Lisa can never feed both tanks the same amount of food unless one of the conditions changes, like the amount of food fed to the fish or the ratio of fish between the tanks.
Order -2.96 2 1/9 -2 11/12 and 2.95 from least to greatest P.S 2.95 is repeating
The expression 3y−24 factored using the GCF is
Answer:
[tex]3y-24 is 3(y-8)[/tex]
Step-by-step explanation:
The expression 3y−24 factored using the GCF is
To find out GCF, we break the factors
3y -> 3 times y
24 -> 2 times 2 times 2 times 3
Here we have 3 in common .
From the factors we have common factor 3
So GCF that is Greatest common factor is 3
GCF of 3y-24 is 3
Take out 3 in common
[tex]3y-24 \ is \ 3(y-8)[/tex]
a car travels 474 miles using 15 4/5 gallons of gas how many miles did the car travel on each gallon of gas and how much gas did the car use to travel each mile
what is 2 8/20 written in simplest form
In her science classroom Jane noticed that the lengths (in inches) and the weights (in ounces) of the class's pet snakes were directly related by the equation y = kx, where x is the length and y is the weight. Use the information in the table to find the weight of a snake that is 12 inches long.
A.25.0
B.27.5
C.30.0
D.32.5
A rectangular flower garden in Samantha's backyard has 100feet around its edge .the width of the garden is 20 feet what is the. Length of the garden
Penny wants to make a model of a beetle that is larger than life size. Penny says she is going to use a scaling factor of 7/12. Does this make sense or is it nonsense? Explain.
2y-4x=-12 what is the slope intercept
Danielle and David each have a job. Danielle earns $15 an hour. She also receives a $50 weekly bonus.
Danielle wrote an equation to determine how much she earns in a given week.
y = 15x + 50
David earns $12 an hour and receives an $80 weekly bonus.
David made a graph to show how much he earns in a given week.
How many hours will it take Danielle and David to earn the same amount of money?
Enter your answer below.
? Hours
Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours. How much would Steven charge for 3 hours?
please help me out on this!
Answer:
$18.75
Step-by-step explanation:
This is kind of a trick question. Instead of giving you 1 example they give you two.
Basically, this question is trying to test your reading skills.
31.25 is being charged for 5 hours. So, how much is being charged in 1 hour?
well, dividing 31.25 by 5 brings us to the result of 6.25. Meaning 1 hour of babysitting costs $6.25
Now that we know the cost of 1 hour, we need to multiply this by 3.
6.25 x 3 = $18.75
we can also 'test' our answer to make sure it is correct by multiplying 6.25 by 8. (doing so is confirming 8 hours of work is $50 at $6.25 per hour)
hope this helpd!
Dorell attempted 40 shots he made 18 he says he made 40% of the shots is he right
Is this equation a linear function? If so give the intersepts 12x+3y=6
Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?
The second worker produced 40 parts and the first worker produced 46 parts.
Explanation:To solve this problem, we can set up a system of equations. Let x represent the number of parts produced by the second worker. Since the first worker produced 15% more parts, the number of parts produced by the first worker can be represented as 1.15x. The total number of parts produced by both workers is 86, so we can set up the equation:
x + 1.15x = 86
Combining like terms, we get 2.15x = 86. Divide both sides of the equation by 2.15 to find x:
x = 40
Substituting this value back into the equation, we find that the second worker produced 40 parts. The first worker produced 15% more, so they produced 40 + 0.15(40) = 46 parts.
1) Which shows 5/90 in decimal form?
A 0.0565656...
B 0.0666...
C 0.050505...
D 0.0555...
I had a bit of difficulty figuring out how to show that these were repeating, so if they look odd, that's why.
2) What is the value of n?
−0.52−0.015=n
A -0.670
B -0.535
C 0.370
D 0.505
4x+2(3x-9)=42 what is x equal
is 7 = to [-7] and is. 10 = to -10? it only gives me yes or no it has to bee one no yes and no so confusing.
Sophia spent $7.30 for school supplies.she spent $3.00 for a notebook and $1.75 for a pen she also bought 3 large erasers of each eraser had the same cost how much did she spend for each eraser?
Please help fast
kelly belonged to a canoe club that had 18 canoes. they kept their canoes om trailers, each able.to carru 2 wide and 3 high. if they had enough trailers for all of their canoes, how many trailers did they have?
Jane had 5 candy canes Max had 11 candy canes how many candy canes do they have all together
By adding Jane's 5 candy canes to Max's 11 candy canes, we find that together they have 16 candy canes.
Explanation:To find out how many candy canes Jane and Max have all together, we need to add the number of candy canes that each person has. Jane has 5 candy canes and Max has 11 candy canes. So, we will perform a simple addition: 5 (Jane's candy canes) + 11 (Max's candy canes).
The sum is:
5 + 11 = 16
Therefore, Jane and Max have 16 candy canes all together.
To find the total number of candy canes Jane and Max have all together, you simply need to add the numbers of candy canes they each have. Jane has 5 candy canes and Max has 11 candy canes. Adding these numbers together, 5 + 11 = 16.
PLEASEEE HELP ME!!!!!!!!
Selena bought a cubic sugar box. Each side length is 18-inch, but the size is unknown.
describe what the cubes represent and then write an expression to represent the total volume of the two items as a sum of cubes, using 2a to represent the side lengths in one cube and 3b to represent the side lengths in the other cube.
write two ways to group and add 2+3+4
jack was planting a tree. he was to dig a hole that was 3.25 feet deep for every 5.7 feet of tree height . how deep should he dig the hole for a tree that is 17 feet high
Jack should dig a hole approximately 9.69 feet deep for a tree that is 17 feet high.
Jack needs to dig a hole for a tree that is 17 feet high, based on a requirement that the hole depth should be 3.25 feet for every 5.7 feet of tree height. To calculate the depth of the hole Jack should dig, we will set up a proportion where the depth of the hole is directly proportional to the tree height.
The proportion is as follows: 3.25 feet depth/5.7 feet height = x feet depth/17 feet height. To solve for x (the depth of the hole for a 17-foot tree), we cross-multiply and divide:
(3.25 feet depth * 17 feet height) / 5.7 feet height = x feet depth.
By calculating this, we get:
x = (3.25 * 17) / 5.7 = 55.25 / 5.7 = 9.69 feet.
I NEED HELP ASAP PLEASE HELP ME WILL DO ANYTHING NEEDED HELP
sauce recipe uses 4 cans of tomatoes in every 2 1/2 quarts. How many cans of tomatoes are used in each quart of the sauce? Enter your answer in the box as a mixed number in simplest form.
if Joelle multiplied 792 by a positive integer and came up with a perfect square as her answer, then what is the smallest integer she could have multiplied 792 by?
Answer:
22
Step-by-step explanation:
why is 378 a divisible by 3 and 9
A blueprint of a house shows a wall that is 5 inches long. If the blueprint is drawn to a scale of 1:60, what is the actual length of the wall in the house?
Using a scale of 1:60, the actual length of a wall in the house, depicted as 5 inches on the blueprint, is 25 feet.
The correct option is c) 25 feet
To find the actual length of the wall in the house, we need to use the scale factor provided by the blueprint, which is 1:60. This means that 1 unit on the blueprint represents 60 units in reality.
Since the wall on the blueprint is 5 inches long, we can calculate the actual length of the wall by multiplying the length on the blueprint by the scale factor:
Actual length = Length on blueprint × Scale factor
= 5 inches × 60
= 300 inches
To convert inches to feet, we divide by 12 (since 12 inches = 1 foot):
Actual length (in feet) = [tex]\frac{300 inches}{12}[/tex]
= 25 feet
Therefore the correct answer is option C) 25 feet.
The question probable may be:
A blueprint of a house shows a wall that is 5 inches long. If the blueprint is drawn to a scale of 1:60, what is the actual length of the wall in the house?
A) 5/60 feet
B) 12 feet
C) 25 feet
D) 36 feet
Adele is 5 years older than Timothy. In three years, Timothy will be 2/3 of Adele’s age. What is Adele’s current age?
Susan used 9 5/8 kilowatts of electricity to power her house for 5 1/2 hours. ON average, how many kilowatts did Susan use per hour?
Answer:
1.75 :)
Step-by-step explanation: