Answer:
200 miles per hour
Step-by-step explanation:
Answer:
it is 200 miles
Step-by-step explanation:
if u are going 40 miles in one hour you multiply how many hours in this case is 5 by the amount of mile in one hour which is 40 and your final answer is 200 miles
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 60.0 min at 95.0 km/h, 10.0 min at 55.0 km/h, and 35.0 min at 45.0 km/h and spends 50.0 min eating lunch and buying gas.
(a) Determine the average speed for the trip. km/h
(b) Determine the distance between the initial and final cities along the route. km
Step-by-step explanation:
(a) The average speed of a person for the trip is given by total distance traveled divided by total time taken.
[tex]V=\dfrac{d_1+d_2+d_3+d_4}{t_1+t_2+t_3+t_4}[/tex]
Since, distance = velocity × time
Also, 1 hour = 60 min
[tex]V=\dfrac{v_1t_1+v_2t_2+v_3t_3+v_4t_4}{t_1+t_2+t_3+t_4}\\\\V=\dfrac{95\times \dfrac{60}{60}+55\times \dfrac{10}{60}+45\times \dfrac{35}{60}+0\times 50}{\dfrac{60}{60}+\dfrac{10}{60}+\dfrac{35}{60}+\dfrac{50}{60}}\\\\V=50.48\ \text{km/h}[/tex]
The average speed for the trip is 50.48 km/h
(b) Total distance,
[tex]D=v_1t_1+v_2t_2+v_3t_3+v_4t_4\\\\D=95\times \dfrac{60}{60}+55\times \dfrac{10}{60}+45\times \dfrac{35}{60}+0\times 50\\\\D=130.41\ \text{km}[/tex]
The distance between the initial and final cities along the route is 130.41 km.
-5 1/2 + 6 3/4 + ( -4 1/4)
Answer:
8
Step-by-step explanation:
I used a calculator
simplify the ratio
2km: 3400m
Answer:
[tex]\displaystyle \frac{10}{17}[/tex]
Step-by-step explanation:
Fraction Simplifying
We are given the ratio 2 Km:3400 m. This can be written in fraction form as:
[tex]\displaystyle \frac{2\ km}{3400\ m}[/tex]
Since 2 Km = 2000 m:
[tex]\displaystyle \frac{2\ km}{3400\ m}=\frac{2000\ \not{m}}{3400\ \not{m}}[/tex]
We need to simplify the fraction:
[tex]\displaystyle \frac{2000}{3400}[/tex]
We cancel out two zeroes, which is like dividing both numbers by 100:
[tex]\displaystyle \frac{20\not{0}\not{0}}{34\not{0}\not{0}}[/tex]
The remaining fraction is:
[tex]\displaystyle \frac{20}{34}[/tex]
Dividing both by 2:
[tex]\displaystyle \frac{10}{17}[/tex]
Since the denominator is a prime number, no more simplifying is possible, thus the given ratio is equivalent to:
[tex]\boxed{\displaystyle \frac{10}{17}}[/tex]
1. Given right triangle ABC with the right angle C and sin A = 1/3, which is of the following expression is also equal to 1/3?
A. cos B
B. cos(90° - A)
C. sin(90°- B)
D. Both A and B
2. The maximum slope for a hand propelled wheel chair ramp should be a 1-inch rise to every 12 inch of length. What is that maximum ramp angle recommended to the nearest degree?
Answer:
1) B
2) About 5°.
Step-by-step explanation:
1)
We can use the following co-function identity:
[tex]\sin(\theta)=\cos(90-\theta)[/tex]
Substitute A for θ:
[tex]\sin(A)=\cos(90-A)[/tex]
Since we know that sin(A) is 1/3, this means that cos(90-A) must also be 1/3.
So, our answer is B.
2)
Refer to the drawing.
Remember that 1-inch rise is a height of 1 while a 12 inch length is a length of 12.
So, to find the maximum ramp angle, we simply need to find the value of x.
We know the sides opposite and adjacent to x. So, we can use tangent:
[tex]\tan(x)=\text{opp}/\text{adj}[/tex]
Substitute 1 for the opposite side and 12 for the adjacent side:
[tex]\tan(x)=1/12[/tex]
Take the inverse tangent of both sides:
[tex]x=\tan^{-1}(1/12)[/tex]
Use a calculator. Make sure you're in Degrees mode:
[tex]x\approx4.76\textdegree\approx5\textdegree[/tex]
So, the maximum ramp angle should be about 5°
what is the distributive property of (6+9v)6 ?
Answer:
36 + 54 v
Step-by-step explanation:
Answer:
36+54v
Step-by-step explanation:
times 6x6 and 6x9 then put in the v
how do you write 1.6 x 10^4 in standard form
Answer:
16000
Step-by-step explanation: You would count 4 places after the one to the right and how how many places that is you’d add 0s to it
Hey there!☺
[tex]Answer:\boxed{1.6\times10^4}[/tex]
[tex]Explanation:[/tex]
To write an expression in standard form, you will have to rearrange the terms. 1.6 * 10^4 is already in its standard form.
So 1.6 * 10^4 in standard form would be written like this:
[tex]1.6\times10^4[/tex]
Hope this helps!☺
Shanice wanted to make note cards by
cutting pieces of paper in half. Before
starting she got two more pieces to use.
When she was done she had 20 half-pieces
of paper. With how many pieces did she
start?
Answer:
8 pieces of paper
Step-by-step explanation:
Since the paper was cut into two, divide the half-pieces by 2 go get the amount of full-sized paper. And since Shanie got 2 more pieces of paper before she started, you subtract 2 from 10, which leaves you with 8 pieces of full-sized paper.
What is the value of the 8 in the number 2008277
Answer:
thousands
Step-by-step explanation:
Answer:
The answer would be the Thousands place.
Step-by-step explanation:
The order goes like this.
ones
tens
hundreds
thousands
ten-thousands
one hundred-thousands
millions
Please add me as brainliest please :)
Three times the sum of eight and a number is 81. Find the number.
Answer:
19
Step-by-step explanation:
81/3=27
27-8=19
19
Last week, Jada ran 2 7/10 miles. This week, she plans to run 5 times as far as last week.
How many miles does Jada plan to run this week?
Write your answer as a fraction or as a whole or mixed number.
Answer:
13.5 miles or 27/5 miles
Step-by-step explanation:
2 7/10 is equal to 2.7 If she plans to run 5 times as much as last week, multiply 2.7 by 5.
2.7*5=13.5
Put the following equation of a line into slop-intercept form, simplifying all fractions.
2y - x = -8
Answer:
y = x/2 - 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation
2y - x = -8
Step 2: Solve for y
Add x to both sides: 2y = x - 8
Divide both sides by 2: y = x/2 - 4
Write an Equation using the following arithmetic sequence: 5, _____, ______, -4.
Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives.
Answer:
third choice the independent variable is the amount of water given, dependent is the height of the plant
What is the answer to (7-3)^2x(5-2)^3+4^2 ?
Step-by-step explanation:
(7-3)^2*(5-2)^3+4^2
=(4)^2*(3)^3+16
=16*27+16
=432+16
=448
Bert's birthday party will cost $246 if he invites 41 guests. How many guests can there be, at most, if Bert can afford to spend a total of $534 on his birthday party? Solve using unit rates. guests
Lisa mixed 1 part of apple juice and 2 parts of vanilla yogurt to make a smoothie. How many parts of apple juice did Lisa mix with each part of vanilla yogurt?
True or False: The distance between -7 and -13 dn a number line
6. What is the fractional equivalent of 3.15?
How to Write 3.15 or 315% as a Fraction?
Decimal Fraction Percentage
3.3 66/20 330%
3.25 65/20 325%
3.2 64/20 320%
3.15 63/20 315%
3.1 62/20 310%
3.70588 63/17 370.588%
3.5 63/18 350%
3.31579 63/19 331.579%
3 63/21 300%
15,000 is increased by 5%. What is the new value?
Step-by-step explanation:
105% of 15000
=105/100 × 15000/1
=15,750
Dmitar buys 2/3 pound of mixed nuts,1/2 pound of chocolate candies, and 1 1/4 of granola how much did dmitar spend to make the trail mix?
Answer: 11.70
Step-by-step explanation:
what is the distance between -4 and 8 on a number line
Answer:
12
Step-by-step explanation:
you can hop 12 times to the right
The distance between -4 and 8 on a number line is 12.
To find the distance between -4 and 8 on a number line, you can subtract the smaller number from the larger number. In this case:
Distance = |8 - (-4)|
To subtract a negative number, you can think of it as adding the absolute value of that negative number:
Distance = |8 + 4|
Now, perform the addition:
Distance = |12|
The absolute value of 12 is 12, so the distance between -4 and 8 on a number line is 12 units.
Hence, the distance between -4 and 8 on a number line is 12.
To learn more on Distance click:
https://brainly.com/question/15172156
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You have 15 marbles in your pocket. 5 are blue, 6 are red, and 4 are green. If you reach into your pocket and pull out a marble, what is the probability that the marble will be red?
Answer:
2 out of 5 chance of being red
Step-by-step explanation:
What is 1/9 as a decimal rounde to 2decimal places.
Answer:
3/11 = 0.27 is the answer of this question
a.
b.
c.
d.
please help me
Answer:
b
Step-by-step explanation:
the answer is - 11/12
6. A high school graduate works fulltime. She needs to borrow $1,500 to
attend the local junior college, but she won't be able to pay it back for
2
years. Calculate how much she will have to pay back with these two
loan plans. Which plan should she choose? Justify your answer,
Bank A: Simple interest, 18 percent per year
Bank B: Compound interest, 12 percent per year
Answer:
I think you would have to multiply 1,500 by 12 and also by 18 to figure it out.
Step-by-step explanation:
" "
What is the difference? PLEASE HELP
Identify the initial value, a, and base, b, of the function f(x)=ab^x if its graph passes through the points (0, 4) and (1, 20)
Answer:
a = 4, b = 5
Step-by-step explanation:
Given the exponential function
f(x) = a[tex]b^{x}[/tex]
Use the given points to find a and b
Using (0, 4 ) , then
4 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus
a = 4 , so
f(x) = 4[tex]b^{x}[/tex]
Using (1, 20 ) , then
20 = 4b ( divide both sides by 4 )
b = 5
Action figures are $8 a piece at a toy store. The toy store sold 26 action figures today. How much money did the toy store receive from selling action figures today?
The toy store received $208 from selling action figures.
Knowing that each action figure is $8 in the toy store, we can multiply that by the quantity of action figures sold to get the total amount of money received.
26 times $8 is $208.
Answer:
$208
Step-by-step explanation:
If the toys are $8 a peice and they sold 24 toys then they would recive $208. Think of it this way: if you multiply 8 times 2 you get 16, then you multiply 16 by 10 to represent 20 of the action figures. That would get you $160. Then multiply 8 times 6, and that gets you 48. Now add those two together. 160+48=$208
In the following diagram, it is known that EHG is a right angle, m EHF x 1 and m GHF x 5 5.
Find the value of x, the numerical values of m EHF m GHF and , and mark them on the diagram
Answer:
Step-by-step explanation:
From the diagram, it can be seen that m EHF+ m GHF = mEHG
mEHG is a right angle, then mEHG = 90°
Given
m EHF = x
m GHF = 5x
Substituting the given parameters into the formula to get x;
x+5x= 90
6x = 90
Divide both sides by 6;
6x/6 = 90/6
x = 15
Hence the value of x is 15°
Since m EHF = x, therefore the numerical value of m EHF is 15°.
Also since m GHF = 5x, the numerical value of m GHF = 5(15) = 75°
If m∠2=40°, what is the measure of ∠1 + ∠6?
Answer:
180°
Step-by-step explanation:
The diagram for this question has been attached to this response.
From the diagram;
(i) ∠2 and ∠6 are equal since they are corresponding angles. This implies that the measure of angle 2 (m∠2) is equal to the measure of angle 6 (m∠6). i.e
m∠2 = m∠6 ---------(a)
But m∠2 = 40°
Substitute this into equation (a) as follows;
40° = m∠6
∴ m∠6 = 40°
(ii) ∠1 and ∠2 are supplementary. This implies that the sum of the measures of angle 1 (m∠1) and angle 2(m∠2) is equal to 180°. i.e
m∠1 + m∠2 = 180° ------------------(b)
But m∠2 = 40°
Substitute this into equation (b) as follows;
m∠1 + 40° = 180°
m∠1 = 180° - 40°
m∠1 = 140°
(iii) The measure of ∠1 + ∠6 is given by;
m∠1 + m∠6
Substitute the values of m∠1 = 140° and m∠6 = 40° into the expression to get
m∠1 + m∠6 = 140° + 40°
m∠1 + m∠6 = 180°
Therefore the measure of ∠1 + ∠6 is 180°
