Michelle walks 1/4 hour per day
In 1 week she walks in 7 days, then she walks:
\(\frac{1}{4}\cdot7=\frac{7}{4}\text{ hours per w}eek\text{ }\)And in 9 weeks she walks:
\(\frac{7}{4}\cdot9=\frac{63}{4}=\frac{60+3}{4}=\frac{60}{4}+\frac{3}{4}=15\frac{3}{4}\text{ hours}\)Sandra walks 2/4 hour per day
In 1 week she walks in 5 days, then she walks:
\(\frac{2}{4}\cdot5=\frac{10}{4}=\frac{5}{2}\text{ hours per w}eek\)And in 9 weeks she walks:
\(\frac{5}{2}\cdot9=\frac{45}{2}=\frac{44+1}{2}=\frac{44}{2}+\frac{1}{2}=22\frac{1}{2}\text{ hours}\)Therefore, Sandra walked more.
\(\frac{45}{2}-\frac{63}{4}=\frac{45\cdot2-63\cdot1}{4}=\frac{90-63}{4}=\frac{27}{4}=\frac{24+3}{4}=6\frac{3}{4}\)Sandra walked 6 3/4 more hours than Michelle.
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PLEASE ANSWER FAST
If your velocity is 20 m/s south and you traveled for 10 MINUTES, how far have you gone?
how do i solve for
(2x/5)+1=13/5
Answer:
x = 4
Step-by-step explanation:
\(\frac{2x}{5} +1 = \frac{13}{5}\) \(\frac{2x+5}{5} = \frac{13}{5}\) divide both sides by 52x + 5 = 13 subtract 5 from both sides2x = 8 divide both sides by 2x = 4
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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ABCD is a square with side length 18 in. M and N are midpoints of AB and CD ,
respectively. Polygonal chains AEC and AFC separate the square into three parts that
all have the same area. Find the length of EF in inches.
Answer:
The length of EF is sqrt(7)
Step-by-step explanation:
i am assuming you already have the answer so brainly? plz
5th grade math. correct answer will be marked brainliest
Answer:true
Step-by-step explanation:
A rental car company charges $71.87 per day to rent a car and $0.09 for every mile driven. Aaliyah wants to rent a car, knowing that: She plans to drive 475 miles. She has at most $320 to spend. Which inequality can be used to determine dd, the maximum number of days Aaliyah can afford to rent for while staying within her budget?
Answer:
To rent a car from this company, Aaliyah will be charged a base rate of $71.87 per day, plus $0.09 for every mile she drives. In total, she plans to drive 475 miles, so she will be charged an additional $0.09 * 475 = $42.75 for the miles she drives.
The total cost of renting the car for one day will therefore be $71.87 + $42.75 = $114.62.
Aaliyah has a budget of $320, so she can afford to rent a car for a maximum of $320 / $114.62 = 2.79 days. However, since she can only rent the car for whole number of days, the maximum number of days she can afford is 2 days.
The inequality that can be used to determine the maximum number of days Aaliyah can afford to rent while staying within her budget is:
dd <= 2
Where dd is the number of days she plans to rent the car for. This inequality states that the maximum number of days Aaliyah can afford is 2.
Sixty-four students voted for Morgan. Two times as many students voted for Whitney. How many students voted altogether?
A total of 192 students voted altogether.
What is an addition operation?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as an addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
Given:
The number of students who voted for Morgan = 64.
Let the number of students who voted for Whitney = n.
According to the question,
n = 2 times the number of students who voted for Morgan
n = 2 x 64
n = 128.
The total number of students who voted = 64 + 128
The total number of students who voted = 192.
Therefore, the required number of votes is 128.
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Find the length of the line joining A (3,5) and B (1,3)
Answer:
2√2 units.
Step-by-step explanation:
To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of points A and B into the formula, we have:
d = sqrt((1 - 3)^2 + (3 - 5)^2)
= sqrt((-2)^2 + (-2)^2)
= sqrt(4 + 4)
= sqrt(8)
= 2sqrt(2)
Therefore, the length of the line joining points A and B is 2√2 units.
Standard Cost Journal Entries Bellingham Company produced 4,600 units that require five standard pounds per unit at a $10.5 standard price per pound. The company actually used 22,500 pounds in production. Journalize the entry to record the standard direct materials used in production. For a compound transaction, if an amount box does not require an entry, leave it blank.
Answer:
Dr work-in-process $ 241,500.00
Cr materials $236,250
Cr direct material quantity variance $ 5,250.00
Step-by-step explanation:
The cost of the materials using standard price per pound of $10.5 is computed below:
standard cost=4,600*5*$10.5=$241,500.00
The above is debited to work in process account.
The actual cost of materials used =22,500*$10.5=$236,250.00
Since the actual cost materials is $ 236,250.00 ,the materials ledger is credited with $ 236,250.00
The direct material quantity variance=$241,500-$236,250=$5,250
HELP ASAP ASAP PLS PLS ALSO BRAINLIEST
A family recipe calls for sauce and oregano. The table below shows the parts of sauce to oregano used to make the recipe.
Servings Sauce (cups) Oregano (tsp)
4 8 one half
6
At this rate, how much sauce and oregano will be needed to make 6 servings?
The recipe will need 12 cups of sauce and three fourths teaspoons of oregano for 8 servings.
The recipe will need 12 cups of sauce and 1 teaspoon of oregano for 8 servings.
The recipe will need 10 cups of sauce and 1 teaspoon of oregano for 8 servings.
The recipe will need 10 cups of sauce and three fourths teaspoons of oregano for 8 servings.
For 6 servings, the recipe will need 12 cups of sauce and 3/4 teaspoon of oregano. So, the answer is option A: The recipe will need 12 cups of sauce and three-fourths teaspoons of oregano for 8 servings.
To find how much sauce and oregano will be needed to make 6 servings, we can use the ratio of sauce to oregano in the recipe.
For 4 servings, the recipe calls for 8 cups of sauce and 1/2 teaspoon of oregano. To find how much sauce and oregano are needed for 6 servings, we can set up a proportion:
sauce : oregano = 8 cups : 1/2 teaspoon = 16 cups : 1 teaspoon
So, for 6 servings, we need:
sauce : oregano = 16 cups : 1 teaspoon
To convert this to cups and tablespoons, we can multiply both sides of the proportion by 3/4:
sauce : oregano = (16 x 3/4) cups : (1 x 3/4) teaspoons
sauce : oregano = 12 cups : 3/4 teaspoon
sauce : oregano = 48 cups : 3 teaspoons
Therefore, for 6 servings, the recipe will need 12 cups of sauce and 3/4 teaspoon of oregano. So, the answer is option A: The recipe will need 12 cups of sauce and three-fourths teaspoons of oregano for 8 servings.
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Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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I really need to know how to solve this type of problems
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
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Which of the following is a solution to the differential equation y'' − 4y = 0 y ' ' − 4 y = 0 ?
Answer:
y = e^-4x
Step-by-step explanation:
It might be right im not sure
Find the number of integers n that satisfy n^2 < 100.
Answer:
n=-9,-8,-7
Step-by-step explanation:
n<100
but that is the positive square root
\(-10 n is between the negative and positive square root of 100
thus, n=-9,-8,-7
The solution of the inequality n² < 100 will be less than 10.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The inequality is given below.
n² < 100
Simplify the equation, then we have
n² < 100
n² < 10²
n < 10
The solution of the inequality n² < 100 will be less than 10.
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Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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Please help me answer part a and b. Thanks!
Therefore, Coastal Cove will have a higher temperature at 3:00 pm.
What is temperature?Temperature is a measure of the degree of hotness or coldness of an object or a substance. It is a physical quantity that is measured using a thermometer, and is typically expressed in units such as degrees Celsius (°C) or Fahrenheit (°F), or in the Kelvin (K) scale.
Temperature is a result of the average kinetic energy of the molecules or particles in a substance. When molecules or particles have a high kinetic energy, they move faster and collide more frequently, resulting in a higher temperature. Conversely, when molecules or particles have a low kinetic energy, they move more slowly and collide less frequently, resulting in a lower temperature.
Temperature is an important property in many scientific and engineering fields, such as thermodynamics, meteorology, and materials science. It is also important in everyday life for tasks such as cooking, heating and cooling homes and buildings, and monitoring body temperature for health purposes.
Part A: To find an exponential function that approximates the data on the table, we can use the exponential regression function on a calculator or software. Here is one possible exponential function that fits the data:
\(g(x) = 2.331(1.102)^x\)
where x represents the number of hours since 6:00 am and g(x) represents the temperature in °F.
Part B: To compare the temperatures at 3:00 pm, we need to evaluate the temperature function for each town at x=9 (since 3:00 pm is 9 hours after 6:00 am).
For Coastal Cove:
\(f(9) = 84(1.01)^9\) ≈ 100.63°F
For Inland burgh:
\(g(9) = 2.331(1.102)^9\) ≈ 98.77°F
Therefore, Coastal Cove will have a higher temperature at 3:00 pm.
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QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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-2, -1, 0,1
Which pair of numbers has a sum of zero?
Answer:
-1 and 1
Step-by-step explanation:
can someone help me with this math problem please
Answer: A (-7,-4)
Step-by-step explanation:
Took the same test
Hunter read 12 books in 2 months. If he reads at a constant rate, how many books did
he read in one month? Give your answer as a whole number or a FRACTION in
simplest form.
PLS ANSWER QUICK
Answer:Hunter read 6 months in a month
Step-by-step explanation:
12/2=6 books in a month
Answer:
6 Books a Month
Step-by-step explanation:
12 / 2 = 6
ng
he
34. The dimensions of Dawn's porch are shown.
Dawn's Porch
6 feet
A
B
6 feet
A. 32
2 feet
11 feet
What is the area, in square feet, of Dawn's porch?
B. 42
2 feet
C. 46
D. 50
Answer:
\(the \: answer \: for \: the \: question \: is \: 50\)
Help pleaseeeeeeeeeeeeee
Answer: f(8) = 620.6
Step-by-step explanation:
To solve, you must first use substitution, and replace the x value in the given function, with 8.
\(f(8)=\frac{750}{1 + 74e^{-0.734(8)} }\)
Next you follow PEMDAS to solve the rest of the equation to find f(8).
What is PEMDAS?
PEMDAS is the order of operations for mathematical expressions involving more than one operation.
You solve in the following order
P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = SubtractionIn this case our next step is deal with the exponents.
And by doing so, you will be multiplying -0.734 by 8
\(f(8)=\frac{750}{1 + 74e^{-5.872} }\)
And typical with exponents we would raise the number or variable given to the power of the exponent.
However we have a continuous number in this case, which is e.
What is e?
e is a mathematical constant approximately equal to 2.71828
We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).
When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.
\(f(8)=\frac{750}{1 + 74(0.002817) }\)
Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).
\(f(8)=\frac{750}{1 + 0.2084 }\)
Now lets add 1 + 0.2084.... and you get 1.2084
\(f(8)=\frac{750}{1.2084 }\)
Last you need to divide:
and you get that
f(8) = 620.6167
Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.
so your final answer is:
f(8) = 620.6
help asap please i will give you a heart
Answer:
32.4
Step-by-step explanation:
i knoiw it
After Halloween, pumpkins were 25% off. Amy bought 2 big
pumpkins that were originally $7 each. How much did she
spend (before tax)?
6) 1,1,3,8,19, 41
a) 60
b) 81
c) 90
d) 101
Analogias
The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.
To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:
1 1 3 8 19 41
0 2 5 11 22
Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.
Let's check if the differences between consecutive terms are square numbers:
2 = 1²
5 = 2² + 1²
11 = 3² + 2²
22 = 4² + 3²
Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:
41 + 57 = 98
Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.
Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.
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Classify the graph as a linear function, nonlinear function, or relation (non-
function).
A. Linear function
B. Nonlinear function
C. Relation
Answer:
The answer is C my friendThe given graph is represents a relation, Option C is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph is classified as a relation (non-function).
A relation is any set of ordered pairs, and a function is a special type of relation where each input (x-value) corresponds to exactly one output (y-value).
In other words, for a function, there are no repeated x-values with different y-values.
Linear Function Graph has a straight line so the graph is not linear function.
A nonlinear function is a function whose graph is not a straight line.
Its graph can be any curve other than a straight line.
Hence, the given graph is represents a relation, Option C is correct.
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NEED ANSWER ASAP!!
How much water should be added to 18 mL of 15% alcohol solution to reduce the concentration to 9%?
PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the solution to the equation given the replacement set?
25 - 3r = 10; {3, 4, 5, 6,}
Responses
3
4
5
6
Answer:
r = 5
Step-by-step explanation:
25 - 3r = 10 ( subtract 25 from both sides )
- 3r = - 15 ( divide both sides by - 3 )
r = 5
the solution from the replacement set is 5
use the binomial expansion
(a+b)⁴ = a⁴+4a³b+6a²b²+4ab³+b⁴ to expand and simplify (x-3)⁴
Answer:
\(x^4-12x^3+54x^2-108x+81\)
Step-by-step explanation:
We have been given the following binomial expansion for (a + b)⁴:
\(\boxed{(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4}\)
To use this to expand and simplify (x - 3)⁴, first identity the values of a and b:
a = xb = -3Substitute the values of a and b into the expansion, and simplify:
\(\begin{aligned}(x-3)^4&=x^4+4x^3(-3)+6x^2(-3)^2+4x(-3)^3+(-3)^4\\\\&=x^4+4x^3(-3)+6x^2(9)+4x(-27)+81\\\\&=x^4-12x^3+54x^2-108x+81\end{aligned}\)
Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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