Answer:
21 kmStep-by-step explanation:
If the bicyclist travels 7 km for every 5 minutes then it is directly proportional
5 min 7 km
15 min x
[tex]x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km[/tex]
A hiker travels at 4 miles per hour at a heading of S 35° E from a ranger station. After 3
hours how far south and how far east is the hiker from the station?
Answer:
First, let's define our coordinates.
Let's call East as the positive x-axis and North as the positive y-axis.
Now the data that we have is:
Speed = 4 mph
Time = 3 hours.
Then the total distance traveled is:
D = 4mph*3h = 12 miles.
We also know that the angle is S 35° E.
(from east, 35° to south)
So we can write this angle as -35°.
Then if we want to know the component in South and East, we can first think this in polar coordinates
(R, θ)
where R = 12 miles, and θ = -35°
Now with this, we have that:
X = R*cos(θ) = the displacement to the east.
Y = R*sin(θ) = the displacement to the north (then -Y is the displacement to the south).
Then we have:
X = 12mi*cos(-35°) = 9.83mi
Y = 12mi*sin(-35°) = - 6.89 mi.
Then:
The displacement to the East is X = 9.83 miles
The displacement to the South is -Y = 6.89 miles.
The magnitude of southern displacement of the hiker is 6.88 miles.
The magnitude of eastern displacement of the hiker is 9.83 miles.
The given parameters;
Velocity of the hiker, v = 4 mphPosition of the hiker, θ = S 35⁰ ETime of motion, t = 3 hoursThe resultant displacement of the hiker is calculated as follows;
D = vt
D = 4 mph x 3 h
D = 12 miles
The magnitude of southern displacement of the hiker is calculated as follows;
[tex]D_y = D \times sin(\theta)\\\\D_y = 12 \ miles \times sin(35)\\\\D_y = 6.88 \ miles[/tex]
The magnitude of eastern displacement of the hiker is calculated as follows;
[tex]D_x = D \times cos(35)\\\\D_x = 12 \ miles \times cos(35)\\\\D_x = 9.83 \ miles[/tex]
Learn more about resultant displacement here: https://brainly.com/question/13309193
What are the x-intercepts of the quadratic functions f(x) = (x + 7)(x − 5)?
Answer:
-7 and 5
Step-by-step explanation:
To tell what the x intercepts are you set both (x+7) and (x-5) equal to zero and then subtract/ add it to zero and then you have the answer. So x+7=0 would be x=-7 and x-5=0 would be 5
2x3 + x2 + 7x - 6)-(- 2x + 10x + 10x+9)
Answer:
2x³ + x² - 11x - 15
Step-by-step explanation:
Step 1: Write out expression
2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)
Step 2: Distribute negative
2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9
Step 3: Combine like terms (x)
2x³ + x² + 9x - 10x - 10x - 9 - 6
2x³ + x² - x - 10x - 9 - 6
2x³ + x² - 11x - 9 - 6
Step 4: Combine like terms (constants)
2x³ + x² - 11x - 15
Answer:
Im here can u do it now?
Step-by-step explanation:
Stacy sent 10 more texts than twice her little sister yesterday together they sent 46 texts how many texts did Tracy send
Answer:
Tracy sent 12 texts
Step-by-step explanation:
hope this helps
Answer:
The answer is 12 texts.
Step-by-step explanation:
Ok, so I'm assuming that Tracy is the little sister.
Stacy's texts: s
Tracy's texts: t
46 = s + t
s = 2t + 10
Substitute 2t + 10 for s in the first equation.
46 = 2t + 10 + t
46 = 3t + 10
-10 -10
36 = 3t
36/3 = 12
Tracy sent 12 texts and Stacy sent 34 texts.
If you use this answer, please mark Brainliest.
Camden is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Camden's test score out of 50 if he got 2 questions wrong? What would be his score if he got x questions wrong
Answer:
Step-by-step explanation:
Score of 2 questions = 2 *5 = 10
He got 2 questions wrong. So, 50 - 10 = 40.
Camden's test score out of 50 = [tex]\frac{40}{50}[/tex]
Score for x questions = x *5 = 5x
Camden's score if he got 'x' questions wrong = 50 - 5x
The
numbers are {0, 1, 2, 3, 4, ...}.
whole
rational
natural
real
integer
Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…
Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…
Step-by-step explanation:
If measure angle 7 , recall that alternate interior angles have equal measures. Thus , the measures of angle is 65 degree. What is the measure of angle 9 degree?
Answer:
Angle 9 = 65°
Step-by-step explanation:
Given:
Angle 7 = 65°
Angle 7 is alternate to Angle 9
Find:
Angle 9
Computation:
We know that
alternate interior angles are equal and angle 7 is alternate to angle 9
So,
Angle 7 = Angle 9
So,
Angle 9 = 65°
-2(7 + y)2 -8(y + 1)
-2(7 + y)2 -8(y + 1)
Simplify :)
−12y−36
1/4a + 1/3a + 8 = 22 what would be the steps to solve this
Answer:
Step-by-step explanation:
first i would combine like terms so 1/4a + 1/3a is equal to 7/12 then the equation would be 7/12a+8=22 simplify the isolate the variable so i think it A=24
Answer:
Hey there!
Step-by-step explanation:
Equation: 1/4a + 1/a + 8 = 22
(The answer is 24)
(You have to do 3 steps in order to solve this question! The steps are below!)
~1. First you have to simplify both sides of the equation.
=> (1/4a + 1/3a) + (8) = 22
=> 7/12a + 8 = 22
~2. Next, subtract 8 from both of the sides.
After you do that you will get, 14
7/12a=14
~3. Lastly, you just multiply both sides by 12/7.
(12/7) x (7/12a)
(12/7) x (14)
~Therefore, A would equal to 24.
A=24
~Hope this helps!
~Good luck! :)
~If you still don’t understand, ask for help! (I would be glad to answer any questions you have! :D )
So I have 5 cats and eat 2819 how many do I have left
Answer:
-2814
Step-by-step explanation:
5 cats, u eat 2819 of them, that means u have negative 2819
Help fast are they similar or not
Answer:
not similar
Step-by-step explanation:
Triangle FGH has two sides that are equal GH and GF
Triangle UVW does not have two sides that are equal
They cannot be similar
Answer:
No
Step-by-step explanation:
No, because the sides on the two triangles are not congruent and the smaller triangle can't be multiplied by a number to equal the bigger triangle.
What is the awnser to 5y-8=3y+12
Step-by-step explanation:
first collect the like terms together that is all the coefficient of y and the numbers
i.e 5y-3y=8+12
then now you can solve
2y=20
and y=10
Answer: y=10
Step-by-step explanation:
Identify the inequality for the given graph.
Answer:
We. can see there's a black point at -3.7 and an arrow going to the left.
As the arrow goes to the left, it must be less than -3.7 or less than or equal to -3.7, now, we will need to see the colour of the point to know which it is.
As there is a black point, -3.7 is also contained in this range...
What does that mean? That means it will be less than or equal to -3.7
So we know the correct option is a) less than or equal to -3.7, what we could write as ([tex]-\infty,-3.7[/tex]].
How many terms are in the polynomial? 3x³ + 4x² - 8x - 5 A. 3 B. 4 C. 7 D. 9
Answer:
its 3 terms is also a trinomial
At a butcher shop, Hilda bought 6 9/20 lb of beef and some pork. She left with 17 17/25 lb of meat. Express the number of pounds of pork she bought using a decimal.
Answer:
56.15
Step-by-step explanation:
First, convert [tex]6\frac{9}{20}[/tex] lbs to a decimal. Multiply the main number (6) by the denominator (20) and then add that number to the numerator (9). The number you will get will be (6 x 20)+9 = 129. 129 is now the new numerator as an improper fraction so the improper fraction is now [tex]\frac{129}{20}[/tex].
Now make [tex]17\frac{17}{25}[/tex] lbs an improper fraction. It would be [tex]\frac{442}{25}[/tex].
Now subtract the amount of pork from the total amount of meat. [tex]\frac{442}{25}[/tex] - [tex]\frac{129}{20}[/tex] . Find a common denominator. I'm going to use 500, although there might be something less.
[tex]\frac{5615}{100}[/tex] is the result. Now you can either start dividing or simplify the fraction, which hopefully you already know how to do. 5615 ÷ 100 = 56.15
Really hope this helped, I tried explaining well! Ask more questions if you need!
Please help me!!!!!!!!!!!!!!!
Answer:
x < 2 OR x > 2
Step-by-step explanation:
-18x + 21 > -15 20x - 13 > 27
-18x > - 15 - 21 20x > 27 + 13
-18x > -36 20x > 40
x < -36/-18 x > 40/20
x < 2 x > 2
x < 2 OR x > 2
A is the answer becos it cant be C
6. A motorcycle is moving at a constant speed of 40 miles/hour. How long does it take to travel
a distance of 65 miles?
Answer:
1.625 hours
Step-by-step explanation:
The equation is
d = rt where d is distance r is rate and t is time
65 = 40 *t
Divide each side by 40
65/40 = t
1.625 hours = time
Whitney made 7 1/2 quarts of hot chocolate. Each mug holds 5/6 of a quart. How many mugs
will Whitney be able to fill?
Write your answer as a fraction or as a whole or mixed number.
Answer:
15
Step-by-step explanation:
The total of hot choclate made by Whitney = 7 1/2 quarts.
= 7 (2) + 1 15
----------- = ---
2 2
each mug holds 1/2 quarts
Total quarts of the hot chocolate ÷ quarts of hot choclate hold by each mug:
= 15/2 ÷ 1/2
= 15/2 x 2/1
= 15
Whitney will be able to fill 15 mugs
A president and vice-president for a student organization are chosen from eleven people. How many different president/vice-president combinations are possible?
Answer:
110 combinations.
Step-by-step explanation:
We are going to be choosing without replacement.
Out of 11 people, we can choose one president, but after choosing, we would be left out with 10 people to choose a vice president from.
To calculate the possible combinations of president and vice-president, we multiply 11 by 10
11 x 10
= 110
Therefore we have 110 vice-president/president possible combinations.
Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why?
Part A
The coefficient would be the number that is with a variable. The coefficient of 7.50h is 7.50. The variable is h, variables can be a letter or symbol that stands for something in a equation. For this question, h stands for the number of hours Corinne works. The constant is the number that is alone in the equation. That doesn't have a variable with it. In this equation the constant would be the number 40.
Part B
To solve this I will plug in 25 into "h" in and 300 for "s" in the equation 7.50h + 0.20s + 40 and then solve it.
25 × 7.50 = $187.5.
0.20 × 300 = $60
Total: $187.50 + $60 = $247.50 + $40 = $287.50
Part C
If Corrine gets a raise and earns $9 an hour the coefficient would change. It would be 9h instead of 7.50h.
I NEED HELP WITH THIS. PLZZZZ HELP!!!!!!!! :(
Simple
Step-by-step explanation:
State 3 or more details why and where you want to go on the plane ride. Use full sentences and good punctuation. Hope you get an A+!
Answer:
Here's the new and improved essay. I made sure to add the literary devices.
Step-by-step explanation:
My mom said that this is the last time I can help you because she needs me to focus on my own priorities even if I say I want to do it on my freetime shes saying that I can't do homework for people, because she says I'm helping them cheat and I'm giving them a bad example. I'm really sorry. I hope this essay works out for you.
do anybody know 15×18+12÷3+9
Answer:
283
First, multiply 15 and 18. You get 270. Then divide 12 and 3. You get 4. Add 270, 4, and 9 together to get 283
Re-write this subtraction as an ADDITION of signed numbers. 7 - 11 = ___
Answer:
-4 + 11 = 7
Step-by-step explanation:
Answer: An expression that would be equal to this one using addition would be 7 + (-11). There is also the option of -7 + 11. When you add a negative, it is the equivalent to subtracting, because you are adding a negative value to a positive value.
Shelly and Terrence completed x tasks in a game. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game: 90x − 20 What does the first term of the expression represent?
Answer:
why do you think its funny that u will get banned and the answer is The total points Shelly earned
Step-by-step explanation:
Answer:
its the difference between shelly and terances points
Step-by-step explanation:
the figure shows triangle ABC and some of its transformed images on the coordinate grid. witch of the four triangles was formed by a translation of triangle ABC ?
Complete the table for the graph of the equation x + 2y = -1
x f(x)
-2?
0?
3?
[tex]x + 2y = -1\\x=-2,0,3\\f(x)=y\\[/tex]
plug in each value of x in the function y:
[tex]-2+2y=-1\\2y=1\\y=\frac{1}{2}[/tex]
first point is [tex](-2, \frac{1}{2})[/tex]
so when x = -2, f(x) = 1/2
[tex]0+2y=-1\\2y=-1\\y=-\frac{1}{2}[/tex]
second point is [tex](0,-\frac{1}{2})[/tex]
so when x = 0, f(x) = -1/2
[tex]3+2y=-1\\2y=-4\\y=-2[/tex]
third point is [tex](3,-2)[/tex]
so when x = 3, f(x) = -2
Nikils soccer team has 13 players. nikil has 4 fewer players on his team than roses team. How many players are on rise team?
Answer: 17
Step-by-step:
Nikils soccer team has 13 players. nikil has 4 fewer players on his team than roses team. How many players are on roses team?
nick has 13 players they have 4 less then roses team that means rose has 4 more tram members then nikils team
that would mean you add 13+4 to get roses team
13 + 4 =17
-3n+2>-4n-3 help me solve this
Answer:
n>−5
Step-by-step explanation:
Step 1: Add 4n to both sides.
−3n+2+4n>−4n−3+4n
n+2>−3
Step 2: Subtract 2 from both sides.
n+2−2>−3−2
n>−5
Oliver had to wash thirty-nine short sleeve shirts and forty-seven long sleeve shirts before school. If he had only washed twenty of them by the time school started, how many did he not wash?
Answer:
66
Step-by-step explanation:
Need this FAST! Will reward 25pts!! If the force of gravity increases, which measurement will change and how? weight decreases mass increases mass decreases weight increases
Answer:
[tex]\Large \boxed{\mathrm{weight \ increases}}[/tex]
Step-by-step explanation:
Taking the formula for weight:
[tex]\sf Weight = mass \cdot acceleration \ of \ gravity[/tex]
[tex]W=m \cdot g[/tex]
The mass will remain the same.
[tex]\upuparrows W=m \ \ \cdot \upuparrows g[/tex]
As the force of gravity increases, the weight increases.
[tex]\downdownarrows W=m \ \ \cdot \downdownarrows g[/tex]
As the force of gravity decreases, the weight decreases.
Answer:
sorryyyyy
Step-by-step explanation:
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