The number of new bicycles must be more than 13 times the number of new treadmills. Each bicycle costs $340 and each treadmill costs $670. He must spend less than $5,650. Select all of the constraints for this situation. a) y>13x b)340x+670y≤5650 c)y>0 340x+670y<5650 d) x>13y x>0

Answers

Answer 1

Answer:

Answer:

c and d

Step-by-step explanation:

The cost inequalities tell you that x corresponds to bicycles, so answer (a) is incorrect. The cost constraint is strictly less than, so answer (b) is incorrect.

(d) correctly expresses the relationship between bicycles (x) and treadmills (y).

_____

The only integer solution is y=0 and 0 < x ≤ 15.

Answer 2

Answer:

Answer: c. $y>0\ ;\ 340x+670y<5650$

d. $x>13y ; x>0$

Step-by-step explanation:

Let x be the number of new bicycles and y be the number of new treadmills.

Given : The number of new bicycles must be more than 13 times the number of new treadmills.

i.e. $x>13y$

Each bicycle costs $340 and each treadmill costs $670.

He must spend less than $5,650.

i.e. $340x+670y<5650$ '

Hence, the constraints for this situation will be :

$x>13y ; x>0$

$340x+670y<5650$

Hence, c and d are the correct options.

Related Questions

Simplify x
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
GEOMETRY QUESTION, URGENT!The volume V of a right circular cylinder is given by the formula V=πr²h, where r is the radius and h is the height.A. Solve formula for hB. Find the height of a right circular cylinder whose volume is 72π cubic inches and whose radius is 6 inches.
Please help me ASAP also I dont remember learning this in algebra 1
-17 irrational number

Richard is buying a subscription for video game rentals. The plan he has chosen has aninitial fee of $20 plus $2 per video game rented. This plan can be represented by the
function f(x) = 2x + 20. How much money will Richard pay this month if he rents 5 video
games?

Answers

Answer:

Richard will pay $30.

Step-by-step explanation:

Because "x" is equivalent to the amount of video games he rents, you would replace "x" with 5. Do the math, and you would get 10+20=30! Hope this helps!

he will pay $30 this month

Which of the following rules best describes the matrix belowa. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up

Answers

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg

Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8

Answers

Answer:

The position at time t is $s(t) = 8t^2 - 14t -8$

Step-by-step explanation:

From the question we are told that

The acceleration is $a = 16$

The velocity at t = 0 is $v(0) = -14$

The position at time t = 0 is $s(0) = -8$

Generally acceleration is mathematically represented as

$a(t) = (d v)/(dt )$

=> $(dv)/(dt) = 16$

=> $dv = 16 dt$

integrating both sides we have

$\int\limits dv = \int\limits16 dt$

=> $v(t) = 16 t + c$

Now at t = 0

$v(0) = 16 * 0 +c = -14$

=> $c = -14$

$v(t) = 16 t -14$

Generally the position of the body is mathematically represented as

$s(t) = \int\limits v(t)dt$

$s(t) = \int\limits 16t - 14 dt$

$s(t) = 16 (t^2)/(2) - 14t + C$

Now at t = 0

$s(0) = 16 (0^2)/(2) - 14(0) + C = -8$

=> $C = -8$

$s(t) = 8t^2 - 14t -8$

Final answer:

The position of the body at time t, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, is given by the equation s(t) = -8 - 14t + 8t².

Explanation:

In your problem, you're asked to find the body's position at time t given its acceleration, initial velocity, and initial position. We can do this by utilizing basic kinematics, specifically the equation for position under constant acceleration. This equation is: s(t) = s(0) + v(0)t + 0.5at².

Substituting the given values into the formula, we get s(t) = -8 + -14t + 0.5*16t².

This is the equation for the body's position at time t. It can be simplified further by multiplying the terms inside, leading to s(t) = -8 - 14t + 8t².

Therefore, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, the position of the body at time t can be described by the equation s(t) = -8 - 14t + 8t².

Learn more about Kinematics here:

brainly.com/question/7590442

#SPJ11

Help me please 10 pointsssss

Answers

(4x)^2 + (x+2)^2 = (3x+4)^2
X = -1/2 , 3

Since it’s asking for the length, X would not be negative.

RS = 4X = 4*3 = 12

Answer:

I think it may be a but I am not completely sure

Step-by-step explanation:

Sqrt( 7x ) + 1 = sqrt( 7x + 1 )

Solve it?

Answers

$√(7x) +1 = √(7x+1)$

First isolate a square root on the left side:
$√(7x) = - 1 + √(7x+1)$

Now, delete the radical on the left side, Raise both sides squarely:
$(√(7x))^2 = (-1+ √(7x+1) )^2$

Thus:
$7x = 1 - 2 √(7x+1) + 7x + 1$
$7x = 7x+1+1-2 √(7x+1)$
$7x = 7x+2-2 √(7x+1)$

Find the radical remainder by isolating a radical on the left side again:
$2 √(7x+1) = -\diagup\!\!\!\! 7x+\diagup\!\!\!\! 7x+2$
$2 √(7x+1) = 2$

Now, delete the radical on the left side, Raise both sides squarely:
$(2 √(7x+1))^2 = (2)^2$

Solving, We have:
$2^2(7x+1) = 4$
$4(7x+1) =4$
$28x+4 = 4$
$28x = \diagup\!\!\!\! 4 -\diagup\!\!\!\! 4$
$28x = 0$
$x = (0)/(28)$
$\boxed{x = 0}$

Confirm that the solution is correct
Statement equation
$√(7x) = - 1 + √(7x+1)$

*Replaces "0" in "x"
$√(7*0) = - 1 + √(7*0+1)$
$√(0) = - 1 + √(0+1)$
$0 = - 1 + √(1)$
$0 = - \diagup\!\!\!\! 1 + \diagup\!\!\!\! 1$
Solution:
$\boxed{0 = 0}$ (TRUE)

Question 9 of 10Suppose that ofx) = x-4). Which statement best compares the graph of
7) tvith the graph of )?
A. The graph of ox) is the graph of (a) shifted 4 units to the left.
B. The graph of g() is the graph of X) shifted 4 units to the right
The graph of of) is the graph of fx) shifted 4 units up.
The graph of g(x) is the graph of () shifted 4 units down.
SUBMIT

Answers

Answer:

The graph of g(x) is shifted 4 units down.

Other Questions

Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun

Which of the following are steps to use when formulating an equation? Check all that apply. A. Make a table B. Read the problem C. Write each fact as a variable expression D. Write each fact as a sentence

SHOW WORK! PLEASE HELP ASAP IF YOU CAN :(A stack of index cards is 3/4 of an inch tall. If each card is 3/160 of an inch thick, how many index cards are in the stack?

The amount of cream sauce on the fettuccine at Al Fred-O's follows a Normal distribution, with a mean of 3.78 ounces and a standard deviation of 0.14 ounce. A random sample of 12 plates of fettuccine is selected every day and the sauce is measured. What is the probability that the mean weight will exceed 3.81 ounces