linda walked 3/8 miles to the park and then another 1/12 mi to the cafe how far did she walk in total?
Answers
To find the answer, we have to sum the fractions.
\(\frac{3}{8}+\frac{1}{12}\)Let's use the following property.
\(\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+c\cdot b}{b\cdot d}\)So, let's sum.
\(\frac{3}{8}+\frac{1}{12}=\frac{3\cdot12+1\cdot8}{8\cdot12}=\frac{36+8}{96}=\frac{44}{96}=\frac{22}{48}=\frac{11}{24}\)Hence, Linda walked 11/24 miles in total.Related Questions
if instead the triangle on the left had the same area as the circle on the right
Answers
If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.
Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.
This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.
Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.
Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.
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Cakculate the Length of line x
Answers
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Use the GCF and the distributive property to find the expression that is
equivalent to 36 - 48
A 6(6+8)
B. 12(3+4)
C. 2(18-24)
D. 419-12
Answers
how many rooms can be painted using 5 gallons of paint if each room averages 5/6 gallon of paint?
A. 4
B. 5
C. 6
D. 7
Answers
Answer:
I think the answer is 6. i dont know if that's right though
Ella invested 4900 compounded monthly3%
Answers
It would take about 2.6 years for the value of the account to reach $5,920, assuming no deposits or withdrawals are made.
We can use the formula for compound interest to solve the problem;
A = \(P(1+r/n)^{(nt)}\)
where;
A is the amount after t years
P is principal (the initial amount invested)
r is annual interest rate (as a decimal)
n is number of times the interest is compounded per year
t is the time in years
In this case, we know that;
P = $4,900
r = 0.03 (3% expressed as a decimal)
n = 12 (interest is compounded monthly)
A = $5,920
We can solve for t by plugging in these values and solving for t;
$5,920 = $4,900\((1+0.03/12)^{12t}\)
Divide both sides by $4,900;
1.20918367347 = \((1+0.03/12)^{12t}\)
Take the natural logarithm of both sides;
ln(1.20918367347) = ln(\((1+0.03/12)^{12t}\))
Use the property of logarithms that allows us to bring the exponent down;
ln(1.20918367347) = 12t ln(1 + 0.03/12)
Divide both sides by 12 ln(1 + 0.03/12)
t = ln(1.20918367347) / (12 ln(1 + 0.03/12))
t ≈ 2.6 years
Therefore, it would take about 2.6 years.
--The given question is incomplete, the complete question is
"Ella invested $4,900 in an account paying an interest rate of 3% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $5,920?"--
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A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?
Answers
Answer: if with 3.14 v= 37512.5333
if with pi v= 37531.56
Step-by-step explanation:
the formula is 1/3hπr^2
r= 2d so radius is 32
plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)
Jeff wants to save $4000 to buy a used car. He has already saved $850. He plans to save an additional $150 each week. write and solve an equation to represent the number of weeks remaining w until he can afford the car.
Answers
Answer:
21 weeks
Step-by-step explanation:
150*21=3150
3150+850=4000
question below, it wants me to add 20 characters so this is it.
Answers
Answer:
Option 3
Step-by-step explanation:
=> \((3+\sqrt{7})(3-\sqrt{7})\)
=> \(9-3\sqrt{7} +3\sqrt{7}-\sqrt{49}\)
Jane has LaTeX: 2\frac{1}{2}2 1 2 cups of sugar. A recipe calls for LaTeX: \frac{1}{4}1 4 cup of sugar. How many recipes can she make?
Answers
Answer:
THERE IS NO RESULTS IN MY MIND
Step-by-step explanation:
SORRY IF WE DID NOT ANSWER IT SAD.......
29. David had a platter of cookies. He ate 6 of them and then gave his sister 2. He then handed them to the volleyball team of 8 members. The first player to arrive took 1, second player took 3, the third player tooks and so on. When the last player took his, there was only 1 left on the platter. How many cookies did David start with?
Answers
Answer:16
Step-by-step explanation:
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
Answers
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
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If two lines intersect to form a right angle, then they are
..(perpendicular, parallel, obtuse
Answers
Helppppppppppppppppppppp
Answers
Answer:
It would be answer choice D
A particular disease is tested for and the results determine that it occurs in about 1 of every 750 Hispanic females and about 1 of every 138,000 non-Hispanic females 26,000 Hispanic females were to be tested, about how many of them would you expect to have this particular disease?
Answers
Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
Hispanic female;A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."
The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:
1 / 750 = 0.001333
This means that for every 750 Hispanic females, one is expected to have the disease.
To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:
0.001333 * 26,000 = 34.658
So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
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A company determines that monthly sales S(t), in thousands of dollars, after t months of marketing a product is given
by S(t)=31³-501² +220t+150.
a) Find S'(2), S'(3), and S'(4).
b) Find S(2), S'(3), and S''(4).
c) Interpret the meaning of your answers to parts (a) and (b).
gfo
Answers
Part (a) replies provide us with the instantaneous rates of change in sales derivatives at t=2, t=3, and t=4 months, respectively. These are 372, 327, and 252 in tens of thousands of dollars each month, respectively.
what is derivative?In mathematics, the derivative of a function with real variables measures how sensitively the function's value varies in reaction to changes in its parameters. Derivatives are the fundamental tools of calculus. Differentiation (the rate of change of a function with respect to a variable in mathematics) (in mathematics, the rate of change of a function with respect to a variable). The use of derivatives is essential in the solution of calculus and differential equation problems. The definition of "derivative" or "taking a derivative" in calculus is finding the "slope" of a certain function. Because it is frequently the slope of a straight line, it should be enclosed in quotation marks. Derivatives are rate of change metrics that apply to almost any function.
a) find the derivatives,
\(S(t) = 31t^3 - 501t^2 + 220t + 150\\S'(t) = 3(31t^2) - 2(501t) + 220\\S'(2) = 3(31(2)^2) - 2(501(2)) + 220 = 372\\S'(3) = 3(31(3)^2) - 2(501(3)) + 220 = 327\\S'(4) = 3(31(4)^2) - 2(501(4)) + 220 = 252\\\)
b) To find S(2), S(3), and S''(4), we use the original expression for S(t):
\(S(2) = 31(2)^3 - 501(2)^2 + 220(2) + 150 = 662\\S(3) = 31(3)^3 - 501(3)^2 + 220(3) + 150 = 669\\S''(t) = (S'(t))' = 6(31t) - 2(501)\\S''(4) = 6(31(4)) - 2(501) = 264\\\)
c) Part (a) replies provide us with the instantaneous rates of change in sales at t=2, t=3, and t=4 months, respectively. These are 372, 327, and 252 in tens of thousands of dollars each month, respectively.
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Select the table representing a linear function. (Graph them if necessary.)
Answers
Check the picture below.
A research group surveyed 250 students. The students were asked how often they go to the movies and whether they prefer comedies or dramas
Answers
A percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
The percentage of the students who go to the movies three times a month or more is given by:
Total students = 30 + 55 = 85 students.
Percentage = 85/250 × 100
Percentage = 0.34 × 100
Percentage = 34%.
The percentage of the students who prefer dramas is given by:
Total students = 85 + 55 = 140 students.
Percentage = 140/250 × 100
Percentage = 0.56 × 100
Percentage = 56%.
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Complete Question:
A movie club surveyed 250 high school students. The students were asked how often they go to the movies and whether they prefer comedies or dramas. Their responses are summarized in the following table.
(a) What percentage of the students go to the movies three times a month or more?
(b) What percentage of the students prefer dramas?
Watch help videoA group of friends wants to go to the amusement park. They have no more than $305to spend on parking and admission. Parking is $19, and tickets cost $26 per person,including tax. Write and solve an inequality which can be used to determine p, thenumber of people who can go to the amusement park.<
Answers
p = number of people who can go to amusement park
Amount they want to spend is no more than $305. This means there expenses will be less than or equals to $305.
parking = $19
cost per person = $26
Therefore,
\(19+26p\leq305\)\(\begin{gathered} 26p\leq305-19 \\ 26p\leq286 \\ p\leq\frac{286}{26} \\ p\leq11 \end{gathered}\)What is the slope of the line that passes through the points (0, -6) and (0, -5)?
Answers
The slope of the line that passes through the points (0, -6) and (0, -5)is undefined.
What is the slope of the line that passes through the points (0, -6) and (0, -5)?Slope is line's inclination with regard to the horizontal is quantified numerically. In analytical geometry, a line, ray, or line segment's slope is the ratio of the vertical to horizontal distance between any two points on the line, ray, or line segment ("slope equals rise over run").
In differential calculus, the derivative of a function yields the slope of a line tangent to its graph, which represents the function's instantaneous rate of change with respect to changes in the independent variable.
Ok so slope is the change in y over change in x.
Your why changed from 6 to -5 so you can write this as -5 - 6
Your x didn’t change it went from 0 to 0
You can write this as 0-0
Now -11/0 is what you end up with as a slope.
Any number divided by 0 is undefined so your slope is undefined.
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Show the algorithm/abstract strategy to justify the 3/5?
Answers
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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Which of the following measures would NOT produce a triangle?
43°, 62°, and 76°
26°, 48°, and 106°
62°, 34°, and 84°
34°, 67°, and 79°
Answers
Number 4 (43º, 62º, 75º)
Step-by-step explanation:26 + 42 + 106 ≠ 180 so number 1 is not a triangle.
34 + 63 + 79 ≠ 180 so number 2 is not a triangle.
62 + 34 +80 ≠ 180 so number 3 is not a triangle.
43 + 62 + 75 = 180 so number 4 is a triangle.
Because only the angles are given and not the sides, there is an infinite number of triangles. The answer is number 4 (43º, 62º, 75º).
(-4x)×(+8) so what is the answer please it is urgent
Answers
Answer:
-32x
Step-by-step explanation:
(-4x) · (+8)
Simplify this expression so it can make better sense
(-4x)(8)Multiply -4 and 8 together
-32xArithmetic and Geometric Sequences. The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
Answers
From the information provided, observe that the three terms are connected by a common ratio.
The first term is multiplied by a value denoted as letter r (common ratio) to derive the second term. The second term is also multiplied by r to derive the third term, and so on.
Therefore;
\(\begin{gathered} 5\times r=4 \\ r=\frac{4}{5} \\ 4\times r=\frac{16}{5} \\ r=\frac{16}{5}\text{ / }\frac{4}{1} \\ r=\frac{16}{5}\times\frac{1}{4} \\ r=\frac{4}{5} \end{gathered}\)From the above calculation, the common ratio is 4/5. Therefore, the 10th term in the sequence shall be;
\(\begin{gathered} T_n=a\times r^{n-1} \\ \text{Where;} \\ a=5,r=\frac{4}{5},n=\text{nth term} \\ T_{10}=5\times(\frac{4}{5})^{10-1} \\ T_{10}=5\times(\frac{4}{5})^9 \\ T_{10}=5\times\frac{262144}{1953125} \\ T_{10}=\frac{262144}{390625} \end{gathered}\)The 10th term is as shown above. To round this figure to the nearest thousandth, we need to convert this fraction into a decimal.
Hence we would have;
\(\begin{gathered} T_{10}=\frac{262144}{390625} \\ T_{10}=0.67108864 \\ T_{10}\approx0.671\text{ (to the nearest thousandth)} \end{gathered}\)StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answers
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?
Answers
Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.
We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.
Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.
Therefore, y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.
Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.
Simplifying, we have :3x = $90000 + 75 = $90075.
Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.
Therefore, Jane received $30025 and Lydia received $60000.
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The General Sherma, the largest tree in the world, has a maximum diameter of 36.5 feet. What is the circumference of the tree?
Answers
Answer:
The General Sherman Tree is the world's largest tree, measured by volume. It stands 275 feet (83 m) tall and is over 36 feet (11 m) in diameter at the base. Sequoia trunks remain wide high up. Sixty feet above the base, the Sherman Tree is 17.5 feet (5.3 m) in diameter.
Step-by-step explanation:
∎=32÷4 answer plss. hsvhrxkfhgt
Answers
Answer:
hi
Step-by-step explanation:
32÷4=8
check it like this-
8×4 is 32
have a nice day
Answer:
8
Step-by-step explanation:
8*4=32
or
8+8+8+8=32
4. Elizabeth has organized a set of cards from greatest to least. However, she has made a few mistakes. Identify which numbers are not in the correct location. Then, rewrite the cards in the correct order.
Answers
Answer:
3/2, 5/4/, 7/10, -1/4, -13/20, -2/3
Step-by-step explanation:
3/2= 1.5 which is the greatest,
5/4 = 1.25 which is second greatest,
7/10 = 0.7 which is third greatest,
-1/4 = -0.25 which is fourth greatest,
-13/20 = -0.65 which is fifth greatest,
-2/3 = -0.666666 (repeating) which is least greatest
The correct order will be \(\frac{3}{2}\) , \(\frac{5}{4}\) , \(\frac{7}{10}\) , \(\frac{-1}{4}\) , \(\frac{-13}{20}\) , \(\frac{-2}{3}\)
It is given that Elizabeth has organized a set of cards from greatest to least.
We have to rearrange them in correct order from greatest to least.
What will be the correct order from greatest to least for fractions ; 1/2 , 2/2 , 3/2 , 4/2 , 5/2 , 6/2 ?
The correct order will be ; 6/2 , 5/2 , 4/2 , 3/2 , 2/2 , 1/2.
Expressing the given fractions in decimal form.
3/2= 1.5 which is the greatest,
5/4 = 1.25 which is second greatest,
7/10 = 0.7 which is third greatest,
-1/4 = -0.25 which is fourth greatest,
-13/20 = -0.65 which is fifth greatest,
-2/3 = -0.666666 (repeating) which is least greatest
Thus , the correct order will be \(\frac{3}{2}\) , \(\frac{5}{4}\) , \(\frac{7}{10}\) , \(\frac{-1}{4}\) , \(\frac{-13}{20}\) , \(\frac{-2}{3}\) .
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please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2
Answers
Answer:-1.2 Degree Fahrenheit.
Step-by-step explanation:
Since,
The average daily changes, total changes/number of days
Here,
The total changes = - 16.8° F ( - sign shows the decreasing )
And, the number of days = 14
Hence,
⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.
-16.8 / 14 = - 1.2 per day
Jorge is hiking a trail that is 2½ miles long. He hikes 13 miles before resting.
How much farther does he have to hike?
O A.
mile
OB.
B. mile
O C.3 mile
OD. mile
Answers
By taking a difference between mixed numbers, we can conclude that the distance left is 5/8 of a mile.
How much farther does he have to hike?We know that the total length of the trail is 2½ miles, and Jorge hikes 1⁷/₈ miles before resting.
So the distance that he has left is equal to the difference between 2½ miles and 1⁷/₈ miles.
Remember that the mixed numbers can be rewritten as:
2½ = 2 + 1/2
1⁷/₈ = 1 + 7/8
So we need to find the difference:
(2 + 1/2) - (1 + 7/8) = ( 2 - 1) + (1/2 - 7/8)
= 1 + (4/8 - 7/8) = 1 - 3/8
Now we can simplify this so we get a single fraction:
1 - 3/8 = 8/8 - 3/8 = 5/8
From this, we can conclude that the distance left is 5/8 of a mile.
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