Given the length of both trail, Trail B is 7/4 miles longer than Trail B.
How many miles longer is Trail B than Trail A?
Given that;
Length of Trail A = 6 3/4 = [ (6×4 + 3 )/4 = 27/4 miles Length of Trail B = 8 1/2 = [ (8×2 + 1 )/4 = 17/2 milesTo determine how many miles longer is Trail B more than Trail A, we subtract the length of tail A from Tail B.
Trail B - Trail A
17/2 - 27/4
17/2 is the same as; 34/4
34/4 - 27/4
We combine the numerators over common denominator
(34 - 27 )/4
7/4 miles
Given the length of both trail, Trail B is 7/4 miles longer than Trail B.
Learn more about fractions here: brainly.com/question/28039882
#SPJ1
za = a + b/m, solve for a
Answer: [tex]a=\frac{b}{zm-1}[/tex]
Step-by-step explanation:
Let's first multiply both sides by m to get rid of the denominator.
[tex]za=\frac{a+b}{m}\\zam=a+b[/tex]
Now, we have an a on both sides of the equation. It will be easier to solve if there is only one, so let's divide both sides by a.
[tex]\frac{zam}{a}=\frac{a+b}{a}\\zm=\frac{a}{a}+\frac{b}{a}\\zm=1+\frac{b}{a}[/tex]
The 1 on the right can be moved to the left to isolate the fraction.
[tex]zm-1=\frac{b}{a}[/tex]
We want to get a by itself, so let's multiply it on both sides to remove it from the denominator.
[tex]a(zm-1)=b[/tex]
Finally, we can divide zm-1 from both sides to get a by itself.
[tex]a=\frac{b}{zm-1}[/tex]
solve the equation. y/8 = 5
y=?
Answer:
y = 40
Step-by-step explanation:
y/8 = 5
———————————————————
Multiply both sides by 8:
8y/8 = 5 * 8
———————————————————
Simplify:
y = 40
Hope that helps! :)
Answer:
Y = 40
Step-by-step explanation:
Step 1:
y/8 = 5
Bring 8 to the right side changing its arithmetic sign to multiply.
Step 2:
y = 5 x 8
Now multiply 5 by 8 to get the answer.
Step 3:
y = 40
Therefore, y is equal to 40.
A summer camp needed
1,148 popsicles. Boxes of
popsicles were sold with
8 in each. How many
boxes did they have to
buy to have enough
popsicles? How many
were left over?
Answer:
144 boxes, 4 popsicles left over
Step-by-step explanation:
# of boxes and the remainder: 1148/8 = 143 boxes 4 popsicles left over
Since they need to buy full boxes we add 1 to 143 = 144 boxes
A full box is 8 and they only need 4 more so they have 4 left over.
Anna has 24 apples and 27 bananas. How many does she have all together?
Translate this phrase into an algebraic expression.
64 decreased by twice Matt's savings
Use the variable m to represent Matt's savings.
10
64 decrease by twice the number then the algebraic expression be
64 - 2m.
What is algebraic expression?The algebraic expression exists acquired by a finite number of the fundamental functions of algebra upon characters expressing numbers. Algebraic expressions contain at least one variable and at least one operation (addition, subtraction, multiplication, division).
From the given information, we get
Let, Matt's savings be denoted by the variable m.
Twice the number be 2m.
64 decrease by twice the digit then the algebraic expression be 64-2w.
To learn more about algebraic expression refer to:
https://brainly.com/question/2437313
#SPJ9
what’s the equation of this line?
Answer:
Step-by-step explanation:
Hello : let A(0,-6) B(8,-8)
the slope is : (YB - YA)/(XB -XA)
(-8+6)/(8-0) = -2/8=-1/4
an equation is : y=ax+b a is a slope
y = (-1/4)x +b
the line through point A (0;-6) : -6 = (-1/4)(0)+b
b = -6 the equation is : y =(-1/)4x-6
A vacant lot is being converted into a community garden. The garden and the walkway around its perimeter have an area of 572 ft. Find the width of the walkway, (x in the diagram below), if the garden is 14 ft. wide by 18 ft. long. Factoring or the quadratic equation formula can be used. a) 5) Solve for the specified variable A = 1/(a+b)h for a 6) Solve for x 14 feet x+10_I 33 Jeet b) A=1/(a+b)h for a
The median household in the United States increased by a rate of 0.25% each year between 1980 and 1985. If the median household income was $42,050 in 1980, what was the median household income after 5 years? Round answer to the nearest whole dollar.
Using an exponential function, the median household income after 5 years was of $42,578.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.For this problem, the parameters are:
A(0) = 42050, t = 5, r = 0.0025[/tex]
Hence:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 42050(1.0025)^t[/tex]
[tex]A(5) = 42050(1.0025)^5 = 42578[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
please help me! i’m really confused on this because i keep getting -5 outside the thing
Answer: D.
Step-by-step explanation: First you find the common factor, which is 5x³y. Then you write in parenthesis what's left over from each term. So the answer should look like: 5x³y(-3x⁵-4z+9).
What is the card balance
Answer:
A card balance is the total amount of money that you currently owe on your credit card. The balance increases when purchases are made and decreases when payments are made. Purchases, balance transfers, foreign exchange, fees, and interest all factor into your credit card balance.
please brainlest and like
If you horizontally stretch the quadratic parent function, f(x) = x², by a factor
of 5, what is the equation of the new function?
A. g(x) = (5x)2
B.
B. g(x) = (x)²
C. g(x) = 5x²
OD. g(x)=x²2
Answer: [tex]g(x)=\left(\frac{x}{5} \right)^2[/tex]
Step-by-step explanation:
See attached image.
Evaluate 4s^2 for s = 1/4. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not type spaces in your answer.
Answer:
1/4
Step-by-step explanation:
Given [tex]\displaystyle{s=\dfrac{1}{4}}[/tex] and we have to evaluate [tex]\displaystyle{4s^2}[/tex]. We can do by substituting the given value s = 1/4 in 4s² term:
[tex]\displaystyle{4\cdot \left(\dfrac{1}{4}\right)^2}\\\\\displaystyle{4\cdot \dfrac{1}{16}}\\\\\displaystyle{\dfrac{1}{4}}[/tex]
Therefore the value is 1/4
Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Volume: Answer, yd3
Answer:
The volume is
[tex]339.4 {yd}^{3} [/tex]
Step-by-step explanation:
The solution is in the image
Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 9. The teacher wishes to give A's to the top 7% of the students and F's to the bottom 7%. The next 17% in either direction will be given B's and D's, with the other students receiving C's. Find the bottom cutoff for receiving an A grade. (You may need to use the standard normal distribution table. Round your answer to the nearest whole number.)
The bottom cutoff for receiving an A grade is 88.
What is the bottom cutoff for receiving an A grade?The bottom cutoff for receiving an A grade is found as follows:
The mean of the distribution = 75
The standard deviation = 9
The z-score for the 93% = 1.476
The score for an A grade, x = mean + z-score * standard deviation
Score for an A grade, x = 75 + 1.476 * 9
Score for an A grade, x = 88
In conclusion, the minimum score for an A grade is obtained from the mean, the z-score and the standard deviation.
Learn more about normal distribution at: https://brainly.com/question/4079902
#SPJ1
Arnez Company’s annual accounting period ends on December 31. The following information concerns the adjusting entries to be recorded as of that date. The Office Supplies account started the year with a $3,850 balance. During the year, the company purchased supplies for $15,901, which was added to the Office Supplies account. The inventory of supplies available at December 31 totaled $3,388. The Prepaid Insurance account had a $27,744 debit balance at December 31 before adjusting for the costs of any expired coverage for the year. An analysis of prepaid insurance shows that $20,004 of unexpired insurance coverage remains at year-end. The company has 15 employees, who earn a total of $1,800 in salaries each working day. They are paid each Monday for their work in the five-day workweek ending on the previous Friday. Assume that December 31 is a Tuesday, and all 15 employees worked the first two days of that week. Because New Year’s Day is a paid holiday, they will be paid salaries for five full days on Monday, January 6 of next year. The company purchased a building at the beginning of this year. It cost $725,000 and is expected to have a $45,000 salvage value at the end of its predicted 25-year life. Annual depreciation is $27,200. Since the company is not large enough to occupy the entire building it owns, it rented space to a tenant at $3,400 per month, starting on November 1. The rent was paid on time on November 1, and the amount received was credited to Rent Revenue. However, the tenant has not paid the December rent. The company has worked out an agreement with the tenant, who has promised to pay both December and January rent in full on January 31. On November 1, the company rented space to another tenant for $3,080 per month. The tenant paid five months' rent in advance on that date. The payment was recorded with a credit to the Unearned Revenue account. Assume no other adjusting entries are made during the year. Required: 1. Use the information to prepare adjusting entries as of December 31. 2. Prepare journal entries to record the first subsequent cash transaction in January of the next year for parts c and e.
1. The preparation of the adjusting entries as of December 31 for Arnez Company is as follows:
Adjusting Journal Entries:1. Debit Office Supplies Expenses $16,363
Credit Office Supplies $16.363
2. Debit Insurance Expenses $7,740
Credit Prepaid Insurance $7,740
3. Debit Salaries Expenses $54,000
Credit Salaries Payable $54,000
4. Debit Rent Receivable $3,400
Credit Rent Revenue $3,400
5. Debit Unearned Rent Revenue $6,160
Credit Rent Revenue $6,160
2. The preparation of the journal entries to record the first subsequent cash transactions in January of the next year for Arnez Company is as follows:
Journal Entries:Debit Salaries Payable $54,000
Credit Cash $54,000
Debit Cash $6,800
Credit Rent Receivable $3,400
Credit Rent Revenue $3,400
Adjusting Transaction Analysis:1. Office Supplies Expenses $16,363 Office Supplies $16.363 ($3,850 + $15,901 - $3,388)
2. Insurance Expenses $7,740 Prepaid Insurance $7,740 ($27,744 - $20,004)
3. Salaries Expenses $54,000 Salaries Payable $54,000 ($1,800 x 15 x 2)
4. Rent Receivable $3,400 Rent Revenue $3,400
5. Unearned Rent Revenue $6,160 Rent Revenue $6,160 ($3,080 x 2)
January Transactions:Salaries Payable $54,000 Cash $54,000
Cash $6,800 Rent Receivable $3,400 Rent Revenue $3,400
Learn more about adjusting journal entries at https://brainly.com/question/13933471
#SPJ1
Estimate the difference of the decimals below by rounding to the nearest
whole number.
61.621
7.173
Answer:
55
Step-by-step explanation:
61.621 rounded to the nearest whole number is 62. We know this by looking at the whole number "61" and rounding its last digit by the digit to the right of it, depending if its <5 or >5. In this case, the right ones digit is "6", being greater than 5 means we can round 61.621 to 62.
The same applies to 7.173, given that "1" is less than 5, we don't round down (because we are rounding up), instead we replace remaining digits with 0, leaving us with 7.
To find the difference means to subtract;
62-7 = 55.
i don’t understand!!!
In other words, 12 goes in the top box and 13 goes in the bottom. The fraction slash sign is not part of either box.
===========================================================
Explanation:
Cosine is the ratio of adjacent over hypotenuse.
cos(angle) = adjacent/hypotenuse
For the reference angle X, the adjacent leg is 36 units long. It's the leg closest or touching angle X.
The hypotenuse is always the longest side. It is always opposite the 90 degree angle. The hypotenuse in this case is 39 units.
Therefore,
cos(X) = 36/39 = (12*3)/(13*3) = 12/13
Write in standard form: x² - 10x + y² - 4y = -28
Answer:
(x - 5) ^2 + (y -2)^2 = 1
Step-by-step explanation:
This is for a circle.
We need to complete the square
(x^2 -10x ) + ( y^2 -4y ) = -28
(x^2 - 10x +25) + (y^2 - 4y 2y) = -28 + 25 + 4
(x-5)^2 + (y-2)^2 = 1
The center of this circle would be (5,2) with a radius of 1.
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14. How old were the bones at the time they were discovered?
Therefore, the bones were 6612.5 years old at the time they were discovered.
Half lifeGiven that the radioactive element carbon-14 has a half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:
50 = 5750100 = 1150057.5 = X57.5 x 11500 / 100 = X6612.5 = XTherefore, the bones were 6612.5 years old at the time they were discovered.
Learn more about half life in https://brainly.com/question/24710827
#SPJ1
Answer:Therefore, the bones were 6612.5 years old at the time they were discovered.
Step-by-step explanation:
46.Find the quotient and remainder
Answer:
30624; 1514,6; a1,6.
Would the horizontal translations shift the square root right or left? Sort each into the appropriate category.
f(x)=√x+0.8
f(x)=√x-4.7
f(x)=√x-25
f(x)=√x+6
f(x)=√x-11
Answer:
Step-by-step explanation:
Shift right
f(x)=√x-4.7
f(x)=√x-25
f(x)=√x-11
Shift left
f(x)=√x+0.8
f(x)=√x+6
Cuál es el número que no pertenece a esta sucesión 99 koma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 koma 153 Cuál es el número que no pertenece esta sucesión 99coma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 koma 153
Based on the calculations, all of the numbers belong to this arithmetic sequence.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
[tex]a_n = a_1 +(n-1)d[/tex]
Where:
d is the common difference.a₁ is the first term of an arithmetic sequence.n is the total number of terms.Next, we would determine the common difference as follows:
d = a₂ - a₁
d = 105 - 99 = 6.
d = a₃ - a₂
d = 111 - 105 = 6.
d = a₄ - a₃
d = 117 - 111 = 6.
Based on the calculations, all of the numbers belong to this arithmetic sequence.
Read more on arithmetic sequence here: brainly.com/question/12630565
#SPJ1
Complete Question:
What is the number that does not belong to this sequence 99, 105, 111, 117, 123, 129, 135, 141, 147, 153
Hello there I need help with this question pls help me I'll mark it as a brain list and give extra 50 points if you answer with an explanation and it MUST be correct
Answer:
iTS 6 2/3 OPTION 2.
Step-by-step explanation:
Because Area = L*B
SO L = A/b
L= 65/3 * 4/13(reciprocal and multiply)
L=20/3 = 6 2/3
Answer:
So answer is 6 2/3
because Look carefully
Area =length× width
length=Area÷ width
so
[tex]21 \frac{2}{3} \div 3 \frac{1}{4} = 6 \frac{2}{3} [/tex]
In ΔOPQ, m∠O = 107° and m∠P = 28°. Which statement about the sides of ΔOPQ must be true?
QO > OP > PQ.
QO > PQ > OP.
PQ > OP > QO.
OP > QO > PQ.
PQ > QO > OP.
OP > PQ > QO.
Answer:
QO < OP < QP
Step-by-step explanation:
The third angle, angle Q, must measure 45° since angles in a triangle add to 180°.
So, OQ < OP < QP.
Answer:
PQ>OP>QO
Greater than symbol goes from largest to smallest
answer me please as soon as possible plot the graph same as shown in the question using green orange and black colors
Due to length restrictions, we kindly invite to read the explanation of this question for further details about the table and graph of the function.
How to plot the graph of a function
In this problem we must plot the graph of a function on a Cartesian plane. The procedure is summarized below:
Create a table for a series of equally spaced x-values.Calculate the y-values for corresponding values and fill the table.Mark the points on the Cartesian plane.Match the points with line segments.After following the procedure, we have the following result:
Input, x x + 4 Output, y (x, y)
- 2 - 2 + 4 2 (- 2, 2)
0 0 + 4 4 (0, 4)
2 2 + 4 6 (2, 6)
4 4 + 4 8 (4, 8)
6 6 + 4 10 (6, 10)
8 8 + 4 12 (8, 12)
Lastly, we plot the graph of the linear function.
To learn more on functions: https://brainly.com/question/12431044
#SPJ1
Given triangle ABC, which equation could be used to find the measure of angle C?
Please HELPP ONLY A FEW MINUTES TO TURN IN
Okay, it's very simple, to solve this triangle you need to understand what the other angles are. We know that angle A is 90º, as it is represented as a square.
We now need to solve for angle B. angle B can be solved for by
Sin (x) = Opposite / Hypotenuse = 3 / 3√5 = 2.24ish
sin(x) = 2.24
x = [tex]sin^{-1}[/tex](2.24)
Use sin.
Answer:
Step-by-step explanation:
what's the answer
Please Help! Multiple Choice!
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
What are the hypothesis tested?At the null hypothesis we test if the means are equal, hence:
[tex]H_0: \mu_D - \mu_C = 0[/tex]
At the alternative hypothesis, it is tested if they are different, hence:
[tex]H_1: \mu_D - \mu_C \neq 0[/tex]
What are the mean and the standard error for the distribution of differences?For each sample, they are given as follows:
[tex]\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086[/tex][tex]\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556[/tex]Hence, for the distribution of differences, they are given by:
[tex]\overline{x} = 12 - 14 = -2[/tex].[tex]s = \sqrt{0.6086^2 + 0.4556^2} = 0.76[/tex]What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
[tex]z = \frac{-2 - 0}{0.76}[/tex]
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
#SPJ1
Given f (x) = 4x + 3 – 2, what is f –1(x)?
f –1(x) = log4(x – 3) + 2
f –1(x) = log4(x + 3) – 2
f –1(x) = log4(x – 2) + 3
f –1(x) = log4(x + 2) – 3
The inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3
How to determine the inverse function?The function is given as:
f(x) = 4^(x + 3) -2
Rewrite as:
y = 4^(x + 3) -2
Swap x and y
x = 4^(y + 3) -2
Add 2 to both sides
x + 2 = 4^(y + 3) -2 + 2
This gives
x + 2 = 4^(y + 3)
Take the logarithm of both sides
log(x + 2)= log(4)^(y + 3)
Apply the base rule of logarithm
log(x + 2)= (y + 3)log(4)
Divide both sides by log(4)
log(x + 2)/log(4) = y + 3
Apply the change of base rule of logarithm
log₄(x + 2) = y + 3
Subtract 3 from both sides
log₄(x + 2) - 3 = y + 3 - 3
Evaluate the difference
log₄(x + 2) - 3 = y
Rewrite as:
y = log₄(x + 2) - 3
Rewrite as:
f-1(x) = log₄(x + 2) - 3
Hence, the inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3
Read more about inverse function at:
https://brainly.com/question/2541698
#SPJ1
need help with this!
Answer:
1.The slope intercept- form of the function is:
y = x -2
2.The predicted length of the vine after 53 days is 51 cm.
Step-by-step explanation:
The slope is the [tex]\frac{change in length}{change in days}[/tex]
In the table, every time that the length increased by 5, the days also increased by 5. 5/5 = 1
Now we have to find the y-intercept, we can use the slope and one of the points that we know to do this. Let's use the first point (5,3). This is in the form (x,y).
y = mx + b
3 = (1)(5) + b
3 = 5 + b Subtract both sides by 5
-2 = b Now we can write the equation
y = mx + b
y = x -2. Plug 53 in for x and you will find your second answer.
y = 53 - 2
y = 51
1. The function's slope intercept form is y = x -2.
2. The vine should be 51 cm long in length after 53 days.
Determining the Slope Intercept Form:
The slope is given as,
m = (Change in length) / (Change in days)
In the table, it can be seen that,
The days climbed by 5 for every 5 that the length did as well [10-5 = 8-3 = 5].
∴ Slope, m =5/5 = 1
We may use the slope and one of the points we are familiar with to help us find the y-intercept. Utilizing the first point (5,3), this is how it looks for the point (x, y),
y = mx + c ..... (1)
3 = (1)(5) + c
3 = 5 + c
Subtract 5 from both sides to get c.
c = -2
Hence, from (1), the slope intercept form is given as,
y = x - 2 ...... (2)
Predicting the Vine Length:
Since x represents the number of days, put x = 53 in equation (2) to predict the vine length after 53 days.
y = (53) -2
y = 51 cm
Thus, the length of vine after 53 days would be 51 cm.
Learn more about slope here:
https://brainly.com/question/16302642
#SPJ1
What is S10 of the geometric sequence? Round to the nearest whole number.
8, 20, 50, 125, …
15,263
50,857
317,886
The sum of the ten terms to the nearest whole number is 50857.
How to find the sum of a geometric sequence?Using geometric sequence formula,
nth term = arⁿ⁻¹
where
a = first termr = common ration = number of termsr = 20 / 8 = 5 / 2
a = 8
Hence,
s₁₀ = a(rⁿ - 1) / r - 1
s₁₀ = 8((5 / 2)¹⁰ - 1) / 5 / 2 - 1
s₁₀ = 8(9535.74316406) / 1.5
s₁₀ = 50857.296875
s₁₀ = 50857
learn more on geometric sequence here:https://brainly.com/question/24707075
#SPJ1