which inequality best represents the following situation: A driver is on the highway, with a speed limit of 70 miles per hour, and is not breaking the law?
Answers
Related Questions
1. Link took out a $160,000, 10-year term policy at age 45. The premium per $1,000 is $4.18. He will be 55 years old next year when the premium per $1,000 will be $6.47. What is the amount of the increase?
Answers
A club treasurer has $28.45 consisting of nickels, dimes, and quarters. she has 9 more nickels than dimes and three times as many dimes as quarters. how many does she have of each coin?
Answers
The graph of which function passes through (0,4) and has a minimum value at 3pi/2, 3
Answers
Answer: f(x) = sin(x)+4
Step-by-step explanation:
The points ( - 6, - 2) and ( - 4,6) fall on a particular line. what is its equation in point-slope form?
Answers
How much money will be in a bank account after 4 years if $8 is deposited at an interest rate of 5%?
Answers
A truck is moving at a rate of 105 kilometers per hour and the diameter of its wheels is 1 meter find the angular speed of the wheels in radians per minute
Answers
The angular speed of the truck's wheels is 3500 radians per minute, calculated by dividing the linear speed in meters per minute by the wheel's radius in meters.
Explanation:To calculate the angular speed of the truck's wheels in radians per minute, we first need to understand the relationship between linear speed and angular speed. Angular speed (
adians) is given by the formula
adians = linear speed (v) divided by the radius of the wheel (r).
First, we convert the truck's speed from kilometers per hour to meters per minute:
105 km/hr = (105 * 1000 meters) / (60 minutes) = 1750 meters/minute.
Since the diameter of the wheel is 1 meter, the radius (r) is half of that, which is 0.5 meters.
Now we can calculate the angular speed:
adians = v / r = 1750 m/min / 0.5 m which gives us 3500 rad/min.
Therefore, the angular speed of the wheels is 3500 radians per minute.
What is the value of x?
What Theorem of postulate did you apply to determine your answer?
Show your work and explain.
Answers
notice, both angles are lying on a flat-line, surely you'd know what "x" is then.
Polly brennan earns $8.32 per hour for playing fuitar at kaldi's coffee shop. she works 12.5 hours a week. what is the musician's stright- time pay?
Answers
I hope this was helpful
If it took 2.5 gallons of paint to cover 282 square feet of wall, how much paint is needed to paint an additional 423 square feet
Answers
A class has 17 boys and 8 girls. one student is selected. f is the event of selecting a girl, and k is the event of selecting kate, one of the girls in the class. determine p(k | f) and p(f | k
Answers
The Probability of choosing a girl is 17/30.
The probability of choosing an A student is 5/30
The P(girl) + the P(A student) = 17/30 + 5/30 = 22/30 = 11/15.
100 pts LZ HLP(d) Mrs. Carothers suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30% lower than $2075. What was the price the travel agent found? Explain and Show your work. (Hint: there is more than one step to this problem!)
Answers
2075 - 622.5 = 1452.5
$1452.5
Answer:$1452.5
Step-by-step explanation:2075*.3=622.5
2075-622.5=$1452.5 is you answer
if im wrong correct me but have a blessed day
answer by:
(DJ)
y=1/4x+1 Solve for x and show your work
Answers
4y-4=x
would be a step by step solution
determine the equation of the graph and select the correct answer below
Answers
Vertex form of a quadratic is y = a(x - h)^2 + k.
( h , k ) is the vertex and in the problem the very is ( 1, -3) so plug that in and:
y = (x - 1 )^2 + (-3) this is equal to:
y = (x -1)^ 2 - 3
hope this helps c:
Answer:
slef
Step-by-step explanation:
What is the number of x intercepts of the parabola with equation y=6x^2-4x-3?
Answers
The parabola y=6x^2-4x-3 has 2 x-intercepts. This is determined by solving the equation for when y equals zero, using the quadratic formula. Because the discriminant is positive, there are two distinct real solutions, indicating the two x-intercepts.
Explanation:To find the number of x-intercepts of the parabola with equation y=6x^2-4x-3, you need to set y to 0 and solve the equation for x. The solutions for x will be the x-coordinates of the intercepts.
The x-intercept(s) occur where y=0. The quadratic formula, x = [-b ± sqrt(b^2 - 4ac)]/2a is used to find these points.
Substituting the coefficients a=6, b=-4, and c=-3 into the formula, we get:
x = [4 ± sqrt((-4)^2 - 4*6*(-3))]/(2*6)
This simplifies to x = [4 ± sqrt(16+72)]/12 = [4 ± sqrt(88)]/12
Since the value under the square root (the discriminant) is positive, we have two distinct real solutions for x. This means that the parabola crosses the x-axis at two points, so there are 2 x-intercepts.
Learn more about x-intercepts here:https://brainly.com/question/14180189
#SPJ2
The perimeter of a rectangle is 66 m. the length is 1 m more than three times the width. find the dimensions of the rectangle.
Answers
L = Length
W = Width
L = 1 + 3W (1m more than 3 times the Width)
W = W
Rectangle has 4 sides
2(1+3W) + 2W = 66
2+6W+2W=66
2+8W=66
8W=64
W=8
Plug 8 in L to find Length side
L = 1+3(8)
L= 1+24
L=25
Check**
2(L) + 2(W) = 66
2(25) + 2(8) = 66
50 + 16 = 66
66 = 66
:D
George traveled 300 miles in 8 hours. How far could he travel in 4 hours if he traveled at the same rate?
Answers
300/8= 37.5
He travels 37.5 miles per hour
If he travels 37.5 miles per hour, to find the amount in 4 hours we would do 37.5 times 4
37.5×4=150
In 4 hours he travels 150 miles
A line passes through (2, −1) and (4, 5).
Which answer is the equation of the line?
−3x+5y=−13
−3x+y=−7
−3x+y=17
−3x+5y=13
Answers
To find the answer of the second problem you find the slope of the two points with the formula y2-y1 divided by x2-x1 and you just plug it in so 5+1 (the minus signs cancel out and turn into positives) divided by 4-2 and which is 6/2 which is 3 is your slope. then you could plug this information into a point slope form using either point I'm just going to choose the one with no negatives so plugging this in would be y-5=3(x-4) then you distribute the 3 and that gives you y-5=3x-12 then
+5 +5 add five to both sides of the equation and get
y=3x-7 and then you can put that into standard form which would be -3x+y=-7 and your answer would be the second one.
The outdoor furniture buys wooden benches for $50 each. The furniture store owner adds 200% markup to the cost of the bench. After hearing from the costumers the selling cost of the bench is too high, the owner changes the markup to 120%. How much less per bench does the store owner make with the lower markup
Answers
what is the slope intercept form of 2x+y=8
Answers
2x+y=8
y=-2x+8
Hope I helped :)
What is the scope of government?
Answers
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.
What is this function written in vertex form?
A) f(x) = (x –1)2 – 7
B) f(x) = (x +1)2 – 7
C) f(x) = (x –1)2 – 5
D) f(x) = (x +1)2 – 5
It has to be A, B, C, Or D someone has asked this question before but whoever answered it just copied and pasted the question that was asked as the answer so please help the answer has to be one of the above.
Answers
So you must complete squares to transform x^2 -2x - 6 in its vertex form.
1) convert x^2 - 2x in a square => (x - 1)^2 - 1
2) Add the constant term - 6 => (x - 1)^2 -1 - 6
3) Add similar terms => (x - 1)^2 - 7
You can verify that (x - 1)^2 - 7 is equal to x^2 - 2x - 6:
x^2 - 2x + 1 - 7 = x^2 - 2x - 6. So, do not doubt it, the vertex form is (x - 1)^2 - 7, where the coordinates of the vertex are (1, - 7)
Answer: option A (x - 1)^2 - 7
A new car dealer offered to sell his demonstrator model for 80% of the retail price. If the retail price is $30,863, how much did the customer save?
Answers
$30,863 x 80% = $24,690.40
You'd then subtract the original price and the price of 80% retail
$30,863 - $24690.40 = $6172.80
He saved $6172.80
Answer:
The customer saved $6,167.20
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
To begin solving this problem we need to change the percent into decimal form. We can do this by moving the decimal point 2 digits to the left like so...
80.0% ⇔ 0.80
Now that we have the percent in decimal form we can find how much the customer paid by multiplying the percent by the retail price.
[tex]30,836 * 0.80 = 24,668.80[/tex]
Now that we have the amount the customer paid, we can subtract that value by the retail price of the model to calculate how much the customer saved.
[tex]30,836-24668.80 = 6,167.20[/tex]
Finally, we can see that the customer saved $6,167.20
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Patrick has seen 10 movies this year.what is the ratio of comedies to the toatal. 4 actions,1 animated,3 comedys,and 2 dramas
Answers
A map shows the distance between the corner of Cactus Road and 1st Street and the corner of 1st Street and Merle Road as 3 inches. If the scale is 1 in. : 3.7 mi, what is the actual distance? A. 1.3 mi B. 22.2 mi C. 11.1 mi D. 111 mi
Answers
3(1)in : 3(3.7)mi
3in : 11.1mi
Answer: C
Where does the function f have a zero? (more than one can apply)
Answers
Choice A(-2,-1)
Choice B(-1,0)
Choice E(2,3)
--------------------------------
Explanation:
The idea is to look for sign changes in f(x). Recall that y = f(x). If the sign of y changes, then y = 0 must be somewhere in the interval if we are to have a continuous function.
The sign changes happen when we go from...
y = -9 to y = +8 (row 2 to row 3)
y = +8 to y = -5 (row 3 to row 4)
y = -1 to y = +196 (bottom two rows)
Those three sign changes correspond to the following interval notations for x
(-2,-1)
(0,1)
(2,3)
in that exact order
Meaning for instance, that a root must be somewhere in the interval -2 < x < -1 since we have a sign change when we transition from f(-2) to f(-1)
So that's why the answers are choices A, B, & E
Something like the interval notation (1,2) will not work because y = -18 does not change sign to y = -1, which is why D is not an answer. Choice C is similar.
Rosa brought d drawings to an art show. After selling 14 of them , she had 34 left . Identify the equation that represents this situation and the correct solution
Answers
Answer:
[tex]d-14=34[/tex] shows that when we add sold drawing we get the total drawings.
Step-by-step explanation:
We have been given that Rosa brought d drawings to an art show.
After selling 14 of them, she had 34 left.
We have to form a equation such that when we add 14 in 34 we get the total of drawings.
[tex]d-14=34[/tex] (1)
Equation (1) shows that when we add sold drawing we get the total drawings.
Answer:
d - 14 = 34; d = 48
Step-by-step explanation:
I have a math problem
Answers
#1 add 6 to both sides
#2 divide by 4
#3 answer is........12
#2 is $12
#3 is 1.2
Term insurance covers the insured for the stated term of the policy.
True
False
Answers
Answer:
it's true
Step-by-step explanation:
Ben and Josh are in the same physical education class. Ben weighs twelve more pounds than josh. Together their weights add to 144. How much does each one weigh?
Answers
Using x to represent Josh's weight, the formula is
x + (x + 12) = 144. Combine like terms to make 2x + 12 = 144. Subtract 12 from each side so that 2x = 132. Finally, divide both sides by 2 to get x = 66, which is Josh's weight. Add 12 pounds to find Ben's weight, which is 78 lbs.
132/2= 66
Then u add the 12 for Ben which his weight would be 78
And josh’s would be 66
Armando likes to watch sports on television. He recorded the following statistics about four games he watched. (Note: The times below include television commercials and commentary.) SportTime WatchedAmount of Game Watched basketball1 hr 27 min1 of 2 halves football48 min1 of 4 quarters soccer50 min1 of 2 halves baseball1 hr 24 min4 of 9 innings Order the sports by their unit rates in hours per game from least to greatest.
Answers
[tex] \frac{1\, hr\ 27\, mins}{1\, of\, 2\, halfs} = \frac{1.45}{0.5} =2.9\, hours\, per\, game[/tex]
For football, the unit rate is given by:
[tex] \frac{48\, mins}{1\, of\, 4\, quarters} = \frac{0.8}{0.25} =3.2\, hours\, per\, game[/tex]
For soccer, the unit rate is given by:
[tex] \frac{50\, mins}{1\, of\, 2\, halfs} = \frac{0.8333}{0.5} =1.67\, hours\, per\, game[/tex]
For baseball, the unit rate is given by:
[tex] \frac{1\, hr\ 24\, mins}{4\, of\, 9\, innings} = \frac{1.4}{0.4444} =3.15\, hours\, per\, game[/tex]
Therefore, the order of the unit rates from the least to the greatest is given by:
Soccer ---> Basketball ---> Baseball ---> Football