Sarah wanted to lose some weight, so she planned a day of exercising. She spent a total of 4 hours riding her bike and jogging. She biked for 35 miles and jogged for 6 miles. Her rate for jogging was 10 mph less than her biking rate. What was her rate when jogging?
Answers
Consider the relation,
\(\text{Speed}=\frac{\text{ Distance}}{\text{ Time}}\)The total time taken by Sarah for biking and jogging is 4 hours.
Given that her speed for biking was 10 mph, the time taken to bike 35 miles is calculated as,
\(\begin{gathered} T_b=\frac{35}{10} \\ T_b=3.5\text{ hours} \end{gathered}\)So, out of the total 4 hours of exercise, Sarah spent 3.5 hours riding her bike.
The remaining 0.5 hour must have been spent on jogging,
\(undefined\)Related Questions
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answers
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
The graph below shows the number of plates arranged on different numbers of tables in a room: A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 6, 12, 18, 24, and 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x-axis is Number of Tables. The title on the y-axis is Number of Plates. What does the point (1, 6) on the graph represent? (1 point) The ratio of plates to tables in the room is 7:1. The ratio of tables to plates in the room is 7:1. There are 6 plates for every 1 table in the room. There are 6 tables for every 1 plate in the room.
Answers
Answer:
D
Step-by-step explanation:
Took the test
Answer:
D
Step-by-step explanation:
I got an A but that was 5 yrs ago
PLEASE HELP WITHIN 20 MIN - 20 POINTS AND BRAINLIEST FOR CORRECT ANSWER!!! ( IF U GET IT RIGHT I WILL ADD 10 MORE POINTS FOR U)
Answers
QUESTION 24 - £41.19 - Again, You add the cost of the paint,brushes and paper (16.13+12.55+12.51) giving you the answer £41.19
QUESTION 25 - £138.13 - You add the answers from questions 23 and 24 (26.94+41.19), and you also add the workshop price, which would be £70, as both Mr & Mrs Lin are attending it (35+35). So 26.94+41.19+70=£138.13
QUESTION 26 - £14.25 - You subtract the answer for questions 24 and 23 (41.19-26.94) giving us £14.25
Hope that makes sense and is all right ;)
Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.
A. four ninths raised to the fourteenth power
B. four ninths raised to the twenty fourth power
C. two thirds raised to the fourteenth power
D. two thirds raised to the twenty fourth power
Answers
Answer:
C. two-thirds raised to the fourteenth
Step-by-step explanation:
Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Answers
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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If two lines cross at the point (2, 3), then the system has two solutions.
False
True
Answers
Answer:
Step-by-step explanation:
False. They have one point in common meaning there is only 1 solution.
Which function shows a positive rate of change?
Answers
Answer: C
Step-by-step explanation:
C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.
Substitute the (-2+5x) for y into this equation:
-3x+6y=-12 to solve for X.
Answers
Answer:
x = 0
Step-by-step explanation:
-3x + 6(-2+5x) = -12
-3x - 12 + 30x = -12
27x = 0
x = 0
There are 82 boats in the navy. 48 of them are battleships and the rest are destroyers. What is the ratio of the number of destroyers to the number of battleships?
Answers
There are 82 boats in the navy. 48 of them are battleships and the rest are destroyers. What is the ratio of the number of destroyers to the number of battleships?
Let
x -----> the number of destroyers
y ----> the number of battleships
the ratio is
x/y
we have
y=48
x=82-48=34
therefore
ratio=34/48
simplify
34/48=17/24
answer is 17/24 or 17:24
Karen and Bill collect coins. Karen has x coins. Bill has 2 coins fewer than five times the number of coins Karen has. Write and simplify an expression for the total number of coins Karen and Bill have.
Answers
Answer: 5x-2
Step-by-step explanation:
Step-by-step explanation:
the karen has 5x then .i hope this is answer
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answers
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
200 students attend Ridgewood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answers
sorry est un site Web Internet spécialement conçue 4
25% of 100 is 25 and 200 is twice as much as 100. So then double the 25 to 50.
You can also set up a proportion of 25%/100% = ?/200 and cross multiply and divide.
Another way is to manipulate the numbers. Instead of 25% of 200 you can say 200% of 25. 200% is the same as saying twice as much as the number so what is twice the number 25? 50!
Find the volume of the cone to the nearest tenth.Use 3.14 for pi
Answers
The slant height of cone L=6.3ft
Base radius is5.9/2 =2.95ft
The volume of a cone is given by
\(\frac{1}{3}\Pi r^2h\)where h= the vertical height of the cone, r=base radius
to find the vertical height, we use Pythagoras theorem
\(\begin{gathered} l^2=h^2+r^2 \\ 6.3^2=h^2+2.95^2 \end{gathered}\)\(\begin{gathered} 39.69=h^2+8.70 \\ h^2=39.69-8.70 \end{gathered}\)\(\begin{gathered} h^2=30.99 \\ \text{taking the square root of both side} \\ h=5.57ft \end{gathered}\)\(\text{volume of cone =}\frac{1}{3}\times3.14\times2.95^2\times5.57\)\(\begin{gathered} =\frac{1}{3}\times3.14\times8.70\times5.57 \\ =\frac{1}{3}\times152.16 \\ =50.72 \end{gathered}\)The volume of the cone is 51.0ft³
The right option is the Third one
Translate the sentence into an equation
seven times the sum of a number and 2 is equal to 3
Use the variable y for the unknown number
Answers
seven times the sum of a number (y) and 2
means y+2 multiplying by 7
7
times the sum of a number ‘x’, and (which means add) is equal ‘=‘ to 3
Simplify (x-6)(-x-6)
Answers
Answer:
36 - x²
Step-by-step explanation:
(x-6)(-x-6) = (-1)(x-6)(x+6) = (-1)(x² - 36) = 36 - x²
this is based on the "well known" (a+b)(a-b) = a²-b²
10 oranges cost Php120, how much 35
oranges cost?
Answers
Answer:
420
Step-by-step explanation:
120 x 3 = 360
360 + 60 = 420
Answer: Php420
Step-by-step explanation:
cost of 10 oranges = Php120
cost of 1 orange = 120/10 = Php12
therefore, cost of 35 oranges = 12 x 35 = Php420
Hope it helped u,
pls mark as the brainliest - Ayaan707 for help :) -
^_^
What linear function has the same y-intercept as the one that is represented by the graph?
Answers
The 3rd answer, y = 2x + 3
The graph has a y-intercept of positive 3. The y-intercept is when x is equal to 0 on the line.
PLS HELP ILL MARK YOU AS BRAINLIEST
Answers
Answer:
a= 78
Step-by-step explanation:
To solve subtract:
180-102= 78
Hope this helps!
Answer:
78 is the missing angle
Step-by-step explanation:
180 - 102 = 78
Please help!!
One thousand people stood in a very large circle. Each person wore a sign on their back
with a numeral from 1 to 1000, in a clockwise sequence. They began counting off. The
first person, person A, said "one-in," and remained in the circle. Person B, the person to
the left of A, said "two-out," and left the circle. The person to the left of B, person C, said
"three-in," and remained in the circle. The person to the left, person D, said "four-out,"
and stepped out of the circle.
So it continued with each person wearing an odd number saying "in," and remaining in
the circle, and with every person wearing an even numeral leaving the circle.
It was easy to visualize who remained in the circle when the count off made it all the way
around back to the first person. Since the last person said "one thousand-out," person A,
the first person, said "one-in," and stayed in, while person C, now the next person, said
"three-out," and left the circle. This process would keep going on and on until only one
person was left in the circle.
Who was the last person standing?
Answers
The person who gets to say the last number, 1000, will be Person 6.
Here, we have,
In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.
When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.
Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.
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complete question:
10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number
Complete and show the following.
a ABCD is a rhombus and AC} is one of its diagonals.
Without assuming parallel sides, explain why Δs ABC and ADC are congruent.
b Deduce from a that ABCD is a parallelogram.
Answers
The evaluation of the rhombus ABCD and are as follows;
a. The sides of the Δs ABC and ADC are all congruent, therefore, ΔABC ≅ ΔADC by SSS
b. The opposite sides and opposite angles of ABCD are congruent, the adjacent angles are supplementary, therefore, ABCD is a parallelogram by its properties which defines a parallelogram
What is a rhombus?A rhombus is a quadrilateral that has four sides which are congruent and the opposite sides are parallel, therefore a rhombus is a special form of a parallelogram.
a. The specified details in the question are;
AB ≅ BC
AB ≅ AD
AB ≅ CD
Therefore; BC ≅ AD ≅ CD, by transitive property of congruency
AB = BC, AB = AD, AB = CD, BC = AD = CD, by definition of congruency
AC is congruent to AC by reflexive property of congruency, therefore;
ΔABC ≅ ΔADC by Side-Side-Side, SSS, congruency rule
b. ∠D ≅ ∠B by Corresponding Parts of Congruent Triangles are Congruent, CPCTC
∠DAC ≅ ∠DCA by base angles of an isosceles triangle, ΔADC
∠BAC ≅ ∠BCA by base angles of an isosceles triangle, ΔABC
∠DAC ≅ ∠BAC by CPCTC
∠DAC = ∠BAC by definition of congruency
∠DCA ≅ ∠BCA by CPCTC
∠DCA = ∠BCA, definition of congruency
∠DAB = ∠DAC + ∠BAC (Angle addition postulate)
∠DCB = ∠DCA + ∠BCA (Angle addition postulate)
∠DAC + ∠BAC = ∠DCA + ∠BCA substitution property
∠DAB = ∠DCB by substitution property
∠DAB ≅ ∠DCB definition of congruency
The opposite angles of the quadrilateral ABCD are congruent,
The opposite sides are congruent
∠D + ∠DCA + ∠DAC = 180° (angle sum property of a triangle)
∠D + ∠ADC + ∠BCA = 180° (substitution property)
Similarly;
∠B + ∠BAC + ∠DAC = 180°
Adjacent angles of the quadrilateral ABCD are supplementary, therefore;
Quadrilateral ABCD is a parallelogram, by the properties of a parallelogram
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answers
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
Find the area of this triangle
A. 48cm
B. 28cm
C. 14cm
D. 36cm
I gave you Brainlist
Answers
Answer:
28
Step-by-step explanation:
multiply the hieght by the base you will get 56 then divide it by 2
Solve for x 2x+3-4=10
Answers
Answer:
x = 5.5
Step-by-step explanation:
2x + 3 - 4 = 10
2x - 1 = 10
2x = 11
x = 5.5
Let's check
2(5.5) + 3 - 4 = 10
11 + 3 - 4 = 10
14 - 4 = 10
10 = 10
So, x = 5.5 is the correct answer.
Answer: x = 5.5
Step-by-step explanation:
To solve, we will isolate the variable x.
Given:
2x + 3 - 4 = 10
Combine like terms on the left side:
2x - 1 = 10
Add 1 to both sides of the equation:
2x = 11
Divide both sides of the equation by 2:
x = 5.5
Giselle wants to buy a condo that has a purchase price of $163,000. Giselle earns $2,986 a month and wants to spend
no more than 25% of her income on her mortgage payment. She has saved up $33,000 for a down payment. Giselle is
considering the following loan option: 20% down, 30 year at a fixed rate of 6.25%. What modification can be made to this
loan to make it a viable option, given Giselle's situation?
a. Change to a 15 year fixed loan
b.
Change the interest to 5.5%
c. Change the down payment to 18% down
d.
None. This is a viable option for Giselle.
Answers
Correct option is B, modification that can be made to this loan to make it a viable option, given Giselle's situation Change the interest to 5.5%.
What modification can be made to this loan to make it a viable option, given Giselle's situation?Giselle may either lower the interest rate to 5.5% or increase the down payment to 18% down in order to make the 20% down, 30-year fixed loan option financially feasible. Giselle's maximum monthly payment of $746.50 is exceeded by the monthly payment for the current loan option. The monthly payment would rise if the loan was shortened to 15 years, rendering it unprofitable. As a result, Giselle should choose a mortgage with a lower interest rate or put more money down in order to bring the monthly payment within her means.
Given Giselle's circumstances, the modification that may be made to this loan to make it an attractive alternative is to raise the interest rate to 5.5%.
Changes to the loan that will be made:
Price of acquisition: $163,000
Monthly income equals $2,986
25% of people are unwilling to spend money.
$33,000 is the down payment.
20% decline rate
Analysis
163,000 less $33,000 is the balance of the loan.
Amount remaining on loan is $130,000.
Condo loan balance = $163,000.20
Condo loan balance = $32,600
Down rate increase equals $163,000 x 20.25%
A higher down payment equals $33,007.50
The optimal solution, based on the research above, is to change the interest rate to 5.5% because it will result in a lower overall payment cost and make the loan amount a viable option.
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HELP ME I BEED THIS DONE!
Answers
let C be the curve y=5sqrtx for 1.1
Answers
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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WILL GET 100 POINTS DUE SOON AND I NEED HELP!!!
Answers
The restriction on the variables x and y are given as follows:
x ∈ W, y ∈ W.
What are the sets of numbers?The three sets of numbers that appear in this problem are given as follows:
Whole numbers: non decimal and non negative numbers.Integer numbers: non decimal numbers that can be either negative or positive.Real numbers: numbers that can be positive or negative, and can also assume decimal values.The number of tickets sold cannot assume decimal values, hence we know two things:
There is a restriction.x belongs either to the whole numbers or to the integer numbers.The number of tickets also assumes only values of zero or positive numbers, they cannot be negative, hence it is a whole number and the second option is correct.
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Write each mixed number as an improper fractions 4 2/7
Answers
Answer:
30/7 is the answer yw
Step-by-step explanation:
Can you help me answer this question? (Explain answer please, if you can)
Mr. Perez designs a probability model to help him predict which color car his customers will want to buy. He puts equal numbers of red, black, white, gray and blue slips of paper into a bag to represent all the different possible car colors. Which of the following statements about the model are true?
A. Mr Perez will most likely not pull any black slips.
B. Mr. Perez will more likely to pull a red slip than a blue slip.
C. Adding another white slip would make this a non-uniform probability model.
D. The results of Mr. Perez’s experiment are likely to exactly math the frequency with which his costumers select each color of car.
Answers
B. False. Since there are equal numbers of red, black, white, gray, and blue slips of paper, the probability of pulling a red slip is the same as the probability of pulling a blue slip.
C. True. If another white slip is added, then the probability of selecting a white car would increase, making the probability model non-uniform.
D. False. While Mr. Perez's probability model may give an indication of which colors are more likely to be chosen by customers, there are many other factors that can influence a customer's choice of car color, such as personal preference, availability, and price. Therefore, the results of Mr. Perez's experiment are unlikely to exactly match the frequency with which his customers select each color of car.
At a particular university, statistics students miss a mean of 2.1 days of school each semester with a standard deviation of 2.5 days. What is the probability that the mean number of days missed for a random sample of 64 students will be more than 3
Answers
Answer:
0.0018
Step-by-step explanation:
P(z>2.88)=1-0.9980= 0.0018