The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
Let the speed of one bicyclist=x mph
Let the speed of the other bicyclist=(x+3) mph
Hence:
Speed of one bicyclist:
3x+3(x+3)+2=98
3x+3x+9+2=98
6x=87
Divide both side by 6x
x=87/6
x=14.5 mph
Speed of the other bicyclist:
x+3 mph
14.5 mph+3 mph
=17.5 mph
Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
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please help!! For geometry
Step-by-step explanation:
m<15 = 97°
that is the answer
A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
48240Step-by-step explanation:
Part one
1 mile per hour = 1.60 kilometers per hour
30 miles per hour = ?
Step 1: Set up a fraction.
The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.
Step 2: Solve
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
Cross multiply1.60 × 30 = 48
1 × k = 1
Therefore, the rate is 48 kilometers per hour.
Part 2
This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.
Step 1: Multiply the result to 5.
48 × 5 = 240
Therefore, the cyclist will travel 240 kilometers in 5 hours.
Step-by-step explanation:
First, to make everything more clear, rewrite it like this-
1 mile = 1.6km
So we have to multiply 30 (miles) by 1.6 (km)
30 x 1.6 + 48
So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.
We have to multiply 48 by 5 which equals 240
So the answer is 240km
Given that in isosceles △ABC , base BC¯¯¯¯¯, BE¯¯¯¯¯⊥AC¯¯¯¯¯, and CF¯¯¯¯¯⊥AB¯¯¯¯¯, which of the following proves that BE¯¯¯¯¯≅CF¯¯¯¯¯?
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEA and ∠CFA are Supplementary Angles (Def. of ⊥)
5. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEC and ∠CFB are Supplementary Angles (Def. of ⊥)
5. AC¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEA=m∠CFA=90∘ (Def. of ⊥)
5. ∠BEA≅∠CFA (Rt. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEC=m∠CFB=90∘ (Def. of ⊥)
5. ∠BEC≅∠CFB (Rt. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
The correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Recall the following:
An isosceles triangles has two sides that are congruent and a base.AAS Congruence Theorem proves that two triangles are congruent if they possess two pairs of congruent sides and a pair of non-included congruent sides.All corresponding parts of two congruent triangles are equal in measure to each other, based on the CPCTC Theorem.The isosceles triangle ABC given is shown in the image attached below.
To prove that, BE ≅ CF, establish the fact that △ABE ≅ △ACF by the AAS Congruence Theorem.
Since △ABE ≅ △ACF, therefore BE ≅ CF by the CPCTC Theorem.
Thus, the correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
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Need help ASAP ?!!!50 points
Answer:
5.76
Step-by-step explanation:
f(x) = f(6.69)
plug in 6.69 for x
(6.69 - 9.09)^2
(-2.4)^2
-2.4 x - 2.4 = 5.76
Answer:
I think it's -5.76
Step-by-step explanation:
♥ hope its right ♥
What is one-half of one-third of three-quarters of 720?
Answer:
90
Step-by-step explanation:
3/4 of 720 is 540. 1/3 of 540 is 180. 1/2 of 180 is 90.
Answer:
90
Step-by-step explanation:
Three quarters of 720 is 540
One third of 540 is 180 and
One half of 180 is 90
So the answer is 90
Solve for X then find the measure of angle B
Answer:
Below in bold.
Step-by-step explanation:
The 2 angles are equal so
8x - 8 = 5x + 25
3x = 33
x = 11.
m < B = 8(11) - 8 = 80 degrees.
I need help with this question. 20 points ton the person who can answer the question and make it make sense.
Why do we want the two measured angles to be equal. Why is this important?
Answer:
Because if they werent the messerue ments would be screwed and u would not be able to answer some questions
Step-by-step explanation:
also it makes a right triangle if equal
The sum of a number and seven more than the number is 43. What is the number?
Answer:
18 is the number good luck
Step-by-step explanation:
18+25=43
Answer:
18,25
Step-by-step explanation:
Luke made an elaborate code to remember the 10-digit combination to his bicycle lock. This is the code he came up with: F-G-E-D-A-K-B-J-C-H Each letter stands for a different digit (0-9). Study the clues below to figure out what digit is represented by each letter. When two letters are written together without an operation symbol, they represent a tens digit and a ones digit. F+F+F=D B÷ H = K J + A = CC
H+H = B. F×H= CK. D×F = KG G+B+E=D+A+C. A×H = KE J÷F=K F/J = H/B
What is the 10-digit combination to Luke's bicycle lock?
this is all the information I have.
please show work by either showing a picture of explaining it in text. Thank you
9514 1404 393
Answer:
lock code: 3709528614
Step-by-step explanation:
Given:
3F = DH×K = BJ+A = CCH×2 = BH×F = CKD×F = KGG +B +E =D +A+CH×A = KEK×F = JFind:
single digit corresponding to each letter
Solution:
CC must be 11, because the sum of any pair of single digits cannot exceed 18. (C = 1).
K must be 2, because H×K = B = H×2. (K = 2)
The only single-digit products involving 3 are 3×1 = 3, 3×2 = 6, and 3×3 = 9. We know F is not 1 or 2, so for 3F = D we must have F = 3, D = 9. (F = 3)(D = 9)
CK = 12, so H×F = 3H = 12. This means H = 4. (H = 4)
2H = B, so B = 8. (B = 8)
D×F = KG. Using the values for D, F, K, we find 9×3 = 27. (G = 7)
K×F = J = 2×3. (J = 6)
At this point, the only unassigned digits are 0 and 5.
H×A = KE. Filling in known values, this is 4A = 20 +E. (A = 5)(E = 0)
The sum E+15 = A+10 can also be used to assign values to A and E.
__
Then the letters corresponding to the digits 0-9 are ...
[tex]\texttt{01234 56789}\\\texttt{ECKFH AJGBD}[/tex]
The bicycle lock code is 3709528614.
The probability that a red block is selected from a bucket is
3/8, and the probability that a blue block is selected is 2/8.
What is the probability that a red block or a blue block is
selected?
a) 1
b) 1/2
c) 5/8
d) 6/8
Answer:
5/8
Step-by-step explanation:
Since we don't know what the other color (s) are, all we need to do to determine the probability is add the two fractions, and that is your probability.
Answer:
5/8
Step-by-step explanation:
The probability of a red block shows 3/8. This means there are 8 blocks total and only 3 of them are red.
The probability of a blue block shows 2/8. Again there are 8 total blocks and only 2 are blue.
So the total number of blocks remains the same....8
The total of red and blue blocks is 3 + 2 = 5
So the probability would be 5/8
An ice climber stands at the edge of a crevasse that is 115 Ft wide. The angle of the depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot.
depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot
If the second quantity in a rate is not 1, how do you find the unit rate?
Answer:
If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Helppp I have three more
16b = 12
Divide both sides by 16
b = 12/16
Simplify 12/16 by dividing by the GCF of 12 and 16, which is 4
b = 3/4
Hope this helps!! :)
Write equation in slope intercept from of the line
Answer:
y= 1/2x + 3
Step-by-step explanation:
good luck lmk if u have any more questions
100 points will mark BRAINLYEST
Answer:
Prompt - Select an image of an art work from smarthistory by looking at the "Histories of Art" tab.
Objective - This is an exercise to get comfortable with applying the language of art as well as the steps of the Art Analysis ChartActions (summarized below).
You must include in this exercise four short, clearly separated paragraphs (2-3 sentences) consisting of the concerns printed in bold:
1. description of the chosen image (include the image information: title, artist's name, year, medium, etc.) and say what you see.
2. analysis of what you see by saying what each element is achieving (e.g. "converging lines are used to draw our attention to the focal point.")
3. interpretation of the image by saying what the work is about and what it means.
4. evaluation of the image by talking about where you think the "value" lies in your chosen image, and explain why. The term value here is not in the context of light or dark as in formal attributes. It refers to what is significant in the work of art you are analyzing, and how successful or unsuccessful it has been executed. Evaluation here is an exercise in reasoning/arguing based on your previous three paragraphs.
what does it mean when a negative number is in parentheses?
Usually negative numbers are in parentheses so people don't think that it is subtraction.
The correct answer is the negative sign indicates that the number or term inside the parenthesis is multiplied by a negative sign.
When a negative number is placed within parentheses, it typically indicates that the negative sign applies to the entire number or expression inside the parentheses.
In other words, it's a way to ensure that the negative sign is associated with the value inside the parentheses rather than being treated as an operator.
For example:
(-3) means negative three, which is the same as 3 but with a negative sign.
-(5 + 2) means the negative of the sum of 5 and 2, which is -7.
-x means the negative of the variable x.
In mathematical expressions, using parentheses to enclose a negative number ensures clarity and avoids ambiguity in the interpretation of the expression.
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Theo worked 3 2/3 hours and earned $28.60
How much would he make if he worked 6 1/3 hours?
Answer:
He would make $49.40
Step-by-step explanation:
28.60 divided by 3 2/3 is 7.80
Multiply that by 6 1/3 to get 49.40
What is the vertex of the graph of f(x) = 4(x+5)²-1?
Answer:
The vertex is (-5,-1)
Step-by-step explanation:
f(x) = 4(x+5)²-1
This is written in vertex form
y = a(x-h)^2 +k where ( h,k) is the vertex
f(x) = 4(x- -5)²-1
H is -5 and k = -1
The vertex is (-5,-1)
Expand the brackets in this expressions
(2y)²
Answer:
4y²
Step-by-step explanation:
(2y)² = 2²*y² = 2*2*y² = 4y²
A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?
The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
Answer:
ME TOO
Step-by-step explanation:
Function transformation involves changing the position of a function.
The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
The functions are given as:
[tex]\mathbf{f(x) = x}[/tex]
[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]
Substitute x for f(x) in g(x)
[tex]\mathbf{g(x) = -5x + 2}[/tex]
The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.
The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.
Hence, the correct option is (d)
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Multiply. Write the answer in the simplest form.
4/7 x 4 3/8 x 5/6
Answer:
2 1/12
The answer should be 2 1/12
(Two and one over twelve)
or
(Two and a one twelfth)
Answer:
2.1
Step-by-step explanation:
...........................
guys pls help me!!!!!!
Answer:
[tex]x = 67[/tex]
Step-by-step explanation:
[tex]x = 67[/tex]
[tex]Alternate \:Intrerior \: Angles[/tex]
Please help lol for brainly
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 1,264(1.09)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 1,375 1,512.50 1,663.75 1,830.13
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
Exponential functions can either represent growth or decay.
Part A:
The function is given as:
[tex]f(x) = 1264(1.09)^x[/tex]
The above function is an exponential function.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where b represents the rate.
When b > 1, then the function is increasing
By comparison:
[tex]b = 1.09[/tex]
1.09 is greater than 1
Hence, the amount of money in account A is increasing.
Part B:
Divide any two concurrent values on the table, to determine the rate of the table.
So, we have:
[tex]b = \frac{1512.50}{1375}[/tex]
[tex]b = 1.10[/tex]
By comparison:
1.10 is greater than 1.09 (the rate of account A).
Hence, account B records a greater percentage change in the amount of money
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A. because b > 1, the function is increasing, so the amount of money in account A is increasing.
B. 1.10 is greater than 1.09, so account B has more percentage change in the amount of money
Which equation represents the
sentence, "one minus p to the
fourth power equals zero"?
OA) 1-4p=0)
OB) 4p-1=0
OC) 1-p4=0)
OD p4-1=0
Answer:
to make button connected. I am
Answer:
C
Step-by-step explanation:
This equation exactly represents the question. It has the 1- p to the 4th which will =0.
PERIOD
DATE
NAME
Practice
Solving Equations with the Variable on Each Side
Justify each step.
1. 4k - 3 = 2k + 5
4k-3-2k = 2k +5 - 2k
2k-3 = 5
2k - 3 + 3 = 5 + 3
2k = 8
2k 8
N100
2
k=4
Answer:
K = 4
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can i pls have brainlist (crown)☺️)
Answer:
The answer is 4 or N100. Have an good day.
HELPPP!! NEED QUICK! WILL GIVE BRAINLEST!
3. National Credit Union pays 5.5% interest compounded quarterly
on special notice savings accounts. Marco Garcia deposits
$5,698.80 in a special notice savings account for 2 years.
a. What is the amount in the account after 2 years?
b. At the end of the 2 years, Marco deposits $5,000.00 in
the account. How much is in the account at the end of 2 more
years?
c. What is the total interest earned in the 4 years?
Answer:
5,698,80
Step-by-step explanation:
this is easy if you paid attention in class
Answer:
5,698,80
Step-by-step explanation:
Using easy Math Skillz
What is the percent of increase from 25 to 47
Answer:
From 25 to 47 is an increase of 88%.
Step-by-step explanation:
From 25 to 47 is an increase (jump) of 22. Write the ratio 22/25 and then multiply the result by 100%:
(22/25)*100% = 0.88(100%) = 88%
From 25 to 47 is an increase of 88%.
Parallel to y= -3/4x + 1 passes through (8,5)
Answer:
y=-3/4x+11
Step-by-step explanation:
Graph the point and draw a line having -3/4 as a slope and see what the y intercept of that same line is. Then that y intercept goes after the -3/4x in the new equation.
in a sale, a clothes shop reduces its price by 45%.a shirt usually costs $27how much is it on sale?