Answer:
Yes, they are equivalent
Step-by-step explanation:
Case 1,
Distance = 250 miles
Time = 4 hours
Ratio = speed = distance/time
= 250 miles/4 hour
= 62.5 mph
Case 2,
Distance = 500 miles
Time = 8 hours
Ratio = speed = distance/time
= 500 miles/8 hour
= 62.5 mph
In both cases, the ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.
Rewrite
as a unit rate.
Answer:
rewrite what as the unit rate?
Step-by-step explanation:
What is the question
Solve for y.
14-y= b
The value of y in the expression 14 - y = b is y = 14 + b.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.
Therefore,
14 - y = b.
- y = b - 14.
- ( - y) = - (b - 14).
y = 14 + b.
learn more about numerical expressions here :
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blueberries cost $4.00 per pound
how many pounds of blueberries can you buy for $1.00
Answer:
4
Step-by-step explanation:
4.00 divided by 1.00 = 4
It will really help if you answer atleast 2 of them
2. 8 x 43 = 344
8 x 43 = 8 (40 + 3)
8 x 43 = 320 + 24
3. 6 x 532 = 3192
6 x 532 = 6 (500 + 30 + 2)
6 x 532 = 3000 + 180 + 12
4. 5 x 923 = 4615
5 x 923 = 5 (900 + 20 + 3)
5 x 923 = 4500 + 100 + 15
I hope this helps :)
Celeste is making fruit baskets for her service club to.
take to a local hospital. The directions say to fill the
boxes using 5 apples for every 6 oranges. Celeste is
filling her baskets with 2 apples for every 3 oranges.
Is Celeste using the correct ratio of apples to oranges?
Answer:
c
Step-by-step explanation:
NEED HELP ASAP
A rectangle is labeled truck. A vector that goes down and to the right is labeled 7,500 pounds and the terminal point is labeled tow truck 2. A vector that goes up and to the right is labeled 10,000 pounds and the terminal point is labeled tow truck 1. The angle between the vectors is 110 degrees. The angle between tow truck 2 and the x-axis is 60 degrees.
A pair of tow trucks are pulling on a trailer that is stuck in mud. The first truck pulls with a force of 10,000 pounds at a 110° angle from the second truck, which is pulling with a force of 7,500 pounds. What is the magnitude of the resultant force?
9,821 pounds
10,244 pounds
14,405 pounds
24,226 pounds
Answer:
10,244 pounds
Step-by-step explanation:
|R|= √(7,500+10,000cos110)²+(10,000sin110)²
|R|= about 10,244 pounds
thats how i did it :I
Answer:
B
Step-by-step explanation:
Edge 2021
Look at the picture below
Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
Answer:
$10 each
Step-by-step explanation:
There are four friends
Friend 1 = $15
Friend 2 = $20
Friend 3 = $40
Friend 4 = unknown
NOTE;
You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend
The four friends decide to split their earnings equally among themselves
how much will the friend who earned $40 give to the others?
Amount given to others = $40 / 4
= $10
The friend who earned $40 will give $10 each to the others
If the sinø=7/12, what is cosø?
Answer:
If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Step-by-step explanation:
We are given sinФ = 7/12
We need to find cosФ
The basic trigonometric functions of right triangle are:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
We need values of adjacent and hypotenuse to find cosФ
Using Pythagoras theorem we can find the value of adjacent
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]
We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]
Inserting values and finding adjacent:
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]
So, value of Adjacent is [tex]\sqrt{95}[/tex]
Now finding cosФ
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12
[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]
So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
what is the restriction in the determining if the given equation is a polynomial?
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)
Answer:
The equation of the line that is perpendicular to y = 2x + 2 is
y = -1/2x
Step-by-step explanation:
The original equation is y = 2x + 2; it's slope is 2
Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.
Example:
y = 2x + 2 so,
the perpendicular line's slope must be -1/2
Write a new equation with the new slope:
y = -1/2x + b
We know that this line passes through (8, -4)
Plug these coordinates in the equation to find b, the y-intercept
-4 = -1/2 (8) + b
-4 = -4 + b
0 = b
b = 0
We do not have to write y = -1/2x + 0
So, our final answer is "y = -1/2x is perpendicular to y = 2x+2"
Which equation is graphed below? On a coordinate plane, a hyperbola has a curve in quadrant 2 and a curve in quadrant 4. The curve in quadrant 2 enters the grid line at (negative 3, 1) and (negative 0.5, 6). The curve in quadrant 4 enters the plane at (0. 5, negative 6) and (3, negative 1). y = –StartFraction 3 Over x EndFraction y = StartFraction 2 over x EndFraction y = –2square root of x y = 3square root of x
Answer:
I think the answer is D.
Step-by-step explanation:
thats what i think at least
Answer:
D. y = 3square root of x
Step-by-step explanation:
Need a step by step explanation please,very confused!
First, you would subtract the x from both sides to get -4y=8-x. Then you divide by -4 to get y=-2+1/4x. You rearrange your answer to get y=1/4x-2. Then you would graph starting at negative two on the y-axis, or the vertical line, and then go up 1 and over 4 to draw the next dot. Hope this helps!
Answer:
this is it
Step-by-step explanation:
i hope it doesn't crop out and that it helps
hence explain x²-8x+20 is always positive
Answer:
It is always positive because the discriminant is negative and therefore has no roots. This can also be interperted as the equation will always be above the x-axis on the parabola and therefore always be positive.
Step-by-step explanation:
The value of the quadratic expression (x - 4)² + 4 will be always positive.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The quadratic expression is given below.
⇒ x² - 8x + 20
Convert the expression into a vertex form, then we have
⇒ x² - 8x + 16 + 4
⇒ (x² - 2 · x · 4 + 4²) + 4
⇒ (x - 4)² + 4
Thus, the value of the expression (x - 4)² + 4 will be always positive.
More about the equation of the parabola link is given below.
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g(x)=17-2/3x;g(6)
please help me i only have 5 mins left
Answer:
13
Step-by-step explanation:
17 - 2/3(6)
17 - 4
13
sub in 6 for x to find g(6) instead of g(x)
Help me solve these please
Parallel and perpendicular line what do the following two equations represent? y-3=2(x-3)
y+5=2(x+1)
A) The same line
B) Distinct parallel lines
C) Perpendicular lines
D) Intersecting, but not perpendicular lines
Answer:
A or D
Step-by-step explanation:
At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch
Answer:
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t
Step-by-step explanation:
The given parameters are;
The initial velocity of the rocket, v = 138 feet per second
The vertical motion formula = h(t) = 0.5·a·t² + v·t + s
The gravitational constant, a = -32 ft./s²
s = The initial height of the rocket
Therefore, he have;
The height of the rocket, t seconds seconds into launch is given as follows;
Height = h = h(t) - s = 0.5·a·t² + v·t
Substituting the known values gives;
h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t
h = -16·t² + 138·t
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.
The price of a new car is $24,990. If the sales tax rate is 9%, then how much sales tax is being
charged?
Answer:
Sales tax = 2249.1
$ 2249.10
Step-by-step explanation:
What is 900000+18765439??
Answer:
Step-by-step explanation:
900000
+18765439
=27765439
Answer is 27765439
what is 5,250 ÷ 6 = to? i have been having trouble
Answer:
875
Step-by-step explanation:
Answer:
Simply line it up and divide it.
Then you get the answer:
875
A manufacturer has invested $120,000 in a new product and wants to set a price to earn a $80,000 profit. The variable cost per unit is $20 and the company sells the units at $100.
Answer: 500
Step-by-step explanation:
The remainder of the question is:
How many units does the company need to sell to reach the target profit?
The required sales to break even will be calculated as:
= (Fixed cost + Required profit) / ( Price per unit - Variable cost)
= (120000 - 80000) / (100 - 20)
= 40000/80
= 500
The company needs to sell 500 units.
: Frank bought 5 pounds of dog food for $8.75. At this
rate, how much would he pay for 8 pounds
Each pound is 1.75 so if you multiply that by 8 you get $14
Answer is $14
If an oxygen atom gains 2 electrons what is it's overall charge?
(Remember: electrons have a negative charge)
Answer:
I think it would be -2 if it has a negative charge
Step-by-step explanation:
You are deciding whether to buy a car for $ or to accept a lease agreement. The lease entails a $ fee plus monthly payments of $ for months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $. Complete parts a through c below.
Answer:
a. The correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. The correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. The correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore given as follows:
You are deciding whether to buy a car for $21,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $250 for 48 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Complete parts a through c below.
a. Should the cost of service and insurance determine which option you choose?
A. Yes, because you probably don't have to pay for services when you buy the car.
B. No, because it is cheaper to lease the car than to buy it.
C. No, because you will probably have to pay for service and insurance with either plan.
D. Yes, because you get a discount on your insurance when you lease the car.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
A.Yes, the total cost of the car at the end of the lease is $___ (fill in the blank)
B. No, the total cost of the car at the end of the lease is $___(fill in the blank)
c. What are some possible advantages of leasing the car?
A. You can sell the car whenever you want and you can make money on the car when you sell it.
B. The insurance costs less and you get a service discount.
C. You can give the car back whenever you want and you can get a new car whenever you want.
D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
The explanation of the answer is now provided as follows:
a. Should the cost of service and insurance determine which option you choose?
No matter the option, wither buy or lease, that is chosen, the car will still have to be serviced and the insurance cost will have to be paid for. Therefore, the cost of service and insurance should not determine which option to choose.
Therefore, the correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
From part a above, it is stated that the cost of service and insurance should not determine which option to choose. Therefore, the cost of service and insurance should not be included in calculating the total cost of purchasing the car at the end of the lease agreement.
This implies the only relevant costs to use in calculating the total cost of purchasing the car at the end of the lease agreement are the $800 monthly fee and the $9,000 cost of purchase at the end of the lease.
Therefore, the total cost of purchasing the car at the end of the lease agreement can be calculated as follows:
Total lease cost = (Monthly fee * Number of months) + Cost of Purchase = ($800 * 48) + $9,000 = $38,400 + $9,000 = $47,400
Therefore, the correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. What are some possible advantages of leasing the car?
Under a lease agreement, there is no need to pay all the money required to buy an item at once. The leasing of an item also enables one to examine the item in details to decide whether to buy it or not at the end of the lease agreement.
Based on the explanation above, the correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
Need help If correct will give brainiest
In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily replies, "Ah, but in 22 years time I shall only be twice her age." How old are the uncle and the woman?
Answer:
her 22 him 66
22 years later her 44 and him88
Step-by-step explanation:
she hase to be 18 or older, but 22 works
so 22 x 3 = 66 he is 3 x older
him 66 +22=88 ,her 22+22= 44 x2 =88
Last year, Mollie collected 64 pieces of candy while trick or treating. This year her costume is so fabulous that people were extra generous, and she collected 115 pieces of candy. What was the percent of change in her candy haul?
Answer:
79.6875 % If you can round, please do.
Step-by-step explanation:
Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?
Answer:
27 + 6x = 8.25x
Number of movies (x) = 12
Step-by-step explanation:
Given that:
VIP membership :
Membership fee = $27 per year
Amount per movie = $6
Hence ;
Membership fee + (amount per movie * number of movies)
27 + 6x - - - (1)
Non member :
Amount paid per movie = $8.25
amount per movie * number of movies)
8.25x - - (2)
Let Numbe of movies = x
In other to pay the same amount of money :
Equate (1) and (2)
Equation :
27 + 6x = 8.25x
8.25x - 6x = 27
2.25x = 27
X = 12 movies
P(-2, -3) and Q(2, 7)
Answer:
The slope is 10/4
Step-by-step explanation:
Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:
1. The amount of plant food remaining in the container after each days study.
2. The height of the plant over time.
Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question
Determine the domain and the range for this relationship.
0≤y ≤6
0 ≤x ≤72
{0, 12, 24, 36, 48, 60, 72}
0 ≤x ≤6
{0,1,2,3,4,5,6}
{0,6,12,18,24,30}
0 ≤y ≤72
Answer:
Domain: [tex]0\leq x\leq 6[/tex]
Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]
Step-by-step explanation:
Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.
[tex]x[/tex] be the number of days that have passed.
Total amount of plant food used is 72 mm.
Number of days the experiment goes on is 6 days.
Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].
So, the function will be
[tex]y=f(x)=72-12x[/tex]
at
[tex]x=0,y=72[/tex]
[tex]x=1,y=72-12\times 1=60[/tex]
[tex]x=2,y=72-12\times 2=48[/tex]
[tex]x=3,72-12\times 3=36[/tex]
[tex]x=4,72-12\times 4=24[/tex]
[tex]x=5,72-12\times 5=12[/tex]
[tex]x=6,72-12\times 6=0[/tex]
Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].
Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].