The price of bananas at a farm is $0.97 per pound. Which equation can be used to determine c, the total price of n pounds of bananas?
c = 0.97 − n
c = 0.97 + n
c = 0.97n
c equals 0.97 over n
Answer:
The correct answer is C
Step-by-step explanation:
Can a remainder in a division problem equal the divisor
One-third of a number is 12.
Work out one-half of the number
what is 8.6E-10 in standard form
The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement. The scale factor is . A pentagon with a side length of 4. An arrow points to a larger pentagon with a side length of 5
Final answer:
To find the scale factor for the dilation of a pentagon from a side length of 4 to a side length of 5, divide the new dimension by the original dimension, resulting in a scale factor of 1.25.
Explanation:
The question asks about finding the scale factor used to dilate a pentagon from a side length of 4 to a side length of 5. To find the scale factor, we compare the new dimension to the original dimension. In this case, the side length of the second pentagon is 5, and the side length of the first pentagon is 4. To find the scale factor, we divide the new dimension by the original dimension, which is 5/4. Hence, the scale factor is 1.25.
To clarify, the scale factor is determined by dividing the new dimension (5) by the original dimension (4), yielding 5/4. Therefore, the scale factor is indeed 1.25. This indicates that each side of the pentagon has been multiplied by 1.25 to achieve the dilation from a side length of 4 to a side length of 5.
how to write radical form in rational form
Answer:
The Rational form of [tex]\sqrt[4]{5^5}[/tex] is [tex]5^{\frac{5}{4}}[/tex]
Step-by-step explanation:
Given : Radical form as [tex]\sqrt[4]{5^5}[/tex]
We have to write the given radical form in rational form.
Consider the given radical form as [tex]\sqrt[4]{5^5}[/tex]
We know the rational form of a root form is [tex]\sqrt[n]{x} =x^{\frac{1}{n}}[/tex]
Thus, The given expression has n = 4 and x = [tex]5^5[/tex]
[tex]\sqrt[4]{5^5}=(5^5)^{\frac{1}{4}}[/tex]
Also, Applying exponent rule, we have,
[tex](x^a)^b=x^ab[/tex]
Thus, [tex]5^{\frac{5}{4}}[/tex]
Thus, The Rational form of [tex]\sqrt[4]{5^5}[/tex] is [tex]5^{\frac{5}{4}}[/tex]
What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15
The interquartile range(IQR) of the data set is:
10
Step-by-step explanation:The data points according to the stem and leaf plot are as follows:
28 40 43 43 45 50 50
We know that the median of the data is the central tendency of the data and always lie in the middle of the data.
Here looking at the data we have:
Median= 43
Similarly the lower set of data is:
28 40 43
Hence, the first quartile or the lower quartile i.e. [tex]Q_1[/tex] is the median of the lower set of data.
Hence,
[tex]Q_1=40[/tex]
Similarly, the upper set of data is:
45 50 50
Hence, the upper quartile or the third quartile i.e. [tex]Q_3[/tex] is the median of the upper set of data.
Hence,
[tex]Q_3=50[/tex]
The interquartile range(IQR) is calculated as:
[tex]IQR=Q_3-Q_1\\\\IQR=50-40\\\\IQR=10[/tex]
how long will it take you to drive 135 miles at a speed of 45 miles per hour
Answer: The required time taken to drive 135 miles is 3 hours.
Step-by-step explanation: We are given to find the time taken to drive 135 miles at a speed of 45 miles per hour.
We will be using the UNITARY method to solve the problem.
We have
Time taken to drive 45 miles = 1 hour.
So, time taken to drive 1 mile will be
[tex]\dfrac{1}{45}~\textup{hour}.[/tex]
Therefore, the time taken to drive 135 miles is given by
[tex]\dfrac{1}{45}\times135=3~\textup{hours}.[/tex]
Therefore, the required time taken to drive 135 miles is 3 hours.
A family charges a trip to the zoo on a credit card. The simple interest rate is 12%. The charges are paid after 3 months. What is the total amount paid for the trip? Round your answer to the nearest hundredth. tickets are 67.7, gas is 45.5, and food is 62.34
Last year, a property manager bought five identical snow shovels and six identical bags of salt. The total cost of the snow shovels was $172.50, before tax and each bag of salt cost $6.20, before tax.
This year, the property manager bought two identical snow shovels and four identical bags of salt. The total cost of the snow shovels was $70.38, before tax, and the total cost of the bags of salt was $26.04, before tax.
Determine the item with the greatest percent increase in the rice from last year to this year. Be sure to include to the precent increase of this item to the nearest percent.
The item with the greatest percent increase in price from last year to this year is the bag of salt, with a 5% increase.
The item with the greatest percent increase in price from last year to this year is the bag of salt, with a 5% increase, compared to the 2% increase for the snow shovels.
To determine the item with the greatest percent increase in price from last year to this year, we need to calculate the price per unit for each item both years and compare the percentage increases. Last year, the property manager bought five snow shovels for $172.50, meaning each shovel costs $34.50 ($172.50 \/ 5). This year, two snow shovels cost $70.38, so each costs $35.19 ($70.38 \/ 2). To find the percent increase for the snow shovels, we subtract last year's price from this year's price, divide by last year's price, and multiply by 100: (($35.19 - $34.50) \/ $34.50) \times 100 = 2% (rounded to the nearest percent).
For the bags of salt, each cost $6.20 last year. This year, the total cost for four bags was $26.04, so each costs $6.51 ($26.04 \/ 4). Using the same formula for percent increase, we get the percent increase for the bags of salt: (($6.51 - $6.20) \/ $6.20) \times 100 = 5% (rounded to the nearest percent).
Therefore, the item with the greatest percent increase in price from last year to this year is the bag of salt, with a 5% increase.
Write an expression that represents the difference of 32 and n, multiplied by 10
Louise is walking 12 miles to raise funds for a local cause. If she has completed
3/4 of the distance, how many miles has she walked?
A. 6
B. 9
C. 8
D. 7
12 x 3/4 = 36/4 = 9
she has walked 9 miles
Final answer:
Louise has walked 9 miles after completing 3/4 of her 12-mile fundraising walk. Thus, option b is correct.
Explanation:
The student's question asks how many miles Louise has walked if she has completed 3/4 of her 12-mile fundraising walk. To find the distance walked, multiply the total distance by the fraction completed. So, Louise has walked 3/4 of 12 miles, which is calculated as follows:
Multiply 3/4 by 12.
3/4 * 12 = 9.
Thus, Louise has walked 9 miles.
a regular hexagon has a radius of 20in what is the approximate area of the hexagon
Answer:
B- 1,038 in.2
Step-by-step explanation:
edge 2022
(15 points) Which fraction below represents a terminating decimal? A.3/8 B.2/3 C4/6. D.7/9
From the given fractions 3/8 is a terminating decimal.
What is a terminating decimal?
A decimal with an end digit is referred to as a terminating decimal. It is a decimal, which means that its digits are limited.
To solve the question,
Use options,
(A)
3/8
Divide 3 by 8, by mathematical property,
3.75
3.75 has an end digit which is 5,
Therefore, the given decimal is terminating decimal
In other option 2/3 and 4/6 gives repeating decimals 0.66666, similarly 7/9 is a repetitive decimal.
Hence, 3/8 is a terminating decimal.
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The contents of Reggie’s backpack weigh 20ib. Eight tenths of the weight is from his textbooks. How much do his textbooks weigh?
Sandra make a pizza she puts mushrooms on 2/8 of the pizza she adds green peppers to 5/8 of the pizza which topping cover more of the pizza
What is meant by the expression b1/3?
[tex] \binom{ - 36}{ - 4} [/tex]
PLEASE HELP BRAINLIEST REWARDED
Lorraine writes the equation shown.
x^2 + y - 15 = 0
She wants to describe the equation using the term relation and the term function.
The equation represents:
A relation and a function
A relation but not a function
A function but not a relation
Neither a function or a relation
A function is a special relation whose every input corresponds with a single output. To be a function, each input is allowed to pair with only one output element.
[tex] x^2+y-15=0\\ Adding \; 15 \; subtracting \; x^2\; on\; both\; sides\\ \\ y=-x^2+15 [/tex]
For a parabola equation like above, there is no restriction in the domain. For every x value there is a unique y value.
Conclusion:
The equation [tex] x^2+y-15=0 [/tex] is BOTH a function and a relation!
a rectangular room is 1.7 times as long as it is wide and it's perimeter is 31 meters. find the dimension of the room
Formulate a system of equations to represent this situation, with f = the amount of money that Frank spent and r = the amount of money that Rachel spent. Frank and Rachel spent a total of $15.75. If Rachel spends twice as much money as Frank, how much money did they each spend?
A)
B)
C)
D)
Rachel and Frank spends $10.5 and $5.25 respectively.
It is given to us that
f is the amount of money that Frank spent and
r is the amount of money that Rachel spent.
Frank and Rachel together spent a total of $15.75.
Rachel spends twice as compare to Frank
The equation that represents this situation:
1. f + r = $15.75
2. r = 2f
Substituting r = 2f in equation 1.
f + r = 15.75
f + 2f = 15.75
3f = 15.75
f = 5.25
Substituting f = 5.25 in equation 2.
r = 2f
r = 2(5.25)
r = 10.5
Thus, Rachel spends $10.5 and Frank spends $5.25.
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Use the rule to write the first five terms of the pattern rule add 10 subtract 5 first term 11
Create a pattern with the rule n+3
Answer:
6, 7,8,9,10
When we set n= 3
Step-by-step explanation:
Step one
The rule n+3 states that we are allowed to add 3 to any number starting from n
Step two
To practically express this rule
Say n = 3
The pattern is
= 3+3, 4+3, 5+3,6+3,+3
= 6, 7 ,8 ,9 ,10
In this exercise we have to create a pattern by placing a rule, so this pattern is:
[tex]n+3=5, 6, 8, 10...[/tex]
We know that it is not an unknown that can be any value, so the values of n will only be prime numbers and its formula can be described as:
[tex]n= prime \ numbers\\n+3= rule\\2+3=5\\3+3=6\\5+3=8\\7+3=10[/tex]
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Solve the system of equations
Tracy is making blueberry muffins.she is using 4/4 cup of honey and 4/2 of floyr.Does Tracy use more honey or more flour?
The true statement is that Trace use more flour
How to determine the true statement ?The given parameters are:
Honey = 4/4 cupFlour = 4/2 cupsEvaluate the quotients
Honey = 1 cup
Flour = 2 cups
2 is greater than 1
Hence, the true statement is that Trace use more flour
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A club raised 96% pf its goal for a charity. The club raised $1056. What was the goal?
Juliette made the jewelry box shown below.The jewelry bow was shaped like a right rectangular prism
Your class built a tepee to use in the school play. The tepee has a diameter of 16 feet and a height of 13.5 feet. What is the volume? Use 3.14 for pi. Round your answer to the nearest whole number. please help thank you:)
The three tools the Federal Reserve uses to enact monetary policy are:
A.) Determine whom banks loan money to
B.)setting the reserve rare
C.)setting the interest rate changed to commercial banks on loans from federal reserve
D.)The buying and selling of treasury bonds and other goverment-backed securities
Answer:
Option:
B , C and D are the correct options.
Step-by-step explanation:
The goals of monetary policy are:
To promote maximum employment, stable price and moderate long term interest rate.
The three tools the Federal Reserve uses to enact monetary policy are:
B.)setting the reserve rate.
C.)setting the interest rate changed to commercial banks on loans from federal reserve.
D.)The buying and selling of treasury bonds and other government-backed securities.
The ratio of lipsticks to eyeshadow is 1:9. The ratio of eyeshadow to mascara is 3:2. Given I have 3 more eyeshadows than mascaras how many lipsticks do i have?
We can find L using [tex]\( L = \frac{1}{9}E \)[/tex]:
[tex]\[ L = \frac{1}{9} \times 9 = 1 \][/tex]
So, you have 1 lipstick.
To solve this problem, we'll work step by step.
Let's denote:
- L as the number of lipsticks.
- E as the number of eyeshadows.
- M as the number of mascaras.
Given:
1. The ratio of lipsticks to eyeshadows is 1:9, which means L:E = 1:9 .
2. The ratio of eyeshadow to mascara is 3:2, which means E:M = 3:2 .
3. You have 3 more eyeshadows than mascaras, so E = M + 3.
First, we'll use the information to establish the relationship between L, E, and M.
From the ratio L:E = 1:9, we can express L in terms of E:
[tex]\[ L = \frac{1}{9}E \][/tex]
From the ratio E:M = 3:2, we can express M in terms of E:
[tex]\[ M = \frac{2}{3}E \][/tex]
Now, we can substitute E = M + 3 into the equation for M:
[tex]\[ M = \frac{2}{3}(M + 3) \][/tex]
3M = 2(M + 3)
3M = 2M + 6
M = 6
Now that we have found M, we can find E using E = M + 3:
E = 6 + 3 = 9
Now that we have found E, we can find L using [tex]\( L = \frac{1}{9}E \)[/tex]:
[tex]\[ L = \frac{1}{9} \times 9 = 1 \][/tex]
So, you have 1 lipstick.