Micah's gym is moving into a bigger space, where he can have more stationary bicycles and treadmills. Micah needs both stationary bicycles and treadmills in his gym.
Let x be the number of bicycles and y be the number of treadmills.
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.
Answer:
Options (2), (3), (5) and (6)
Step-by-step explanation:
Let the number of bicycles = x
and the number of treadmills = y
Since, number of new bicycles must be more than [tex]\frac{1}{3}[/tex] times of new treadmills,
Inequality representing the statement will be,
x > [tex]\frac{1}{3}[/tex]y
Each bicycle costs $340 and each treadmill costs $670.He must spend less than $5650,
Inequality will be,
340x + 670y < 5650
And the number of bicycles and treadmills should be greater than 0.
x > 0
y > 0
Therefore, constraints for this situation are,
Option (2)
Option (3)
Option (5)
Option (6)
Write a linear equation that has a slope of 1/2 and a y-intercept at the origin.
Answer:
y=1/2x
Step-by-step explanation:
Slope intercept form is the most commonly used linear equation:
It goes like this:
[tex]y=mx+b[/tex]
In this equation, m is the slope and b is the y-intercept.
Your line has a slope of 1/2. So, your m-value is 1/2.
y=1/2x+b
B, your y-intercept, is at the origin.
The origin is the point (0,0).
So b, is 0 (y-intercept is the y-value when x is 0)
y=1/2x+0
=
y=1/2x
If y varies directly as x, and y is 400 when x is n and y is n when x is 4, what is the value of n?
Answer:
100
Step-by-step explanation:
4xy times 100n the variable of 4xy would be times in the related number of 100n to get the answer 400
Help URGENT!!!
You are buying new carpet for your bedroom. Your bedroom is 14 ft by 14 ft. You have $700
to spend on carpet. Carpet is sold in square feet (area). Write and solve an inequality that tells
you how much you can spend, per square foot, on carpet.
please help this is due
Answer:
it's either A or B so try B
Step-by-step explanation:
Answer:
The answer is 48 degrees
Step-by-step explanation:
If you look at both symbols, JKL and PQR they are supposed to be exactly the same. Another way is Taking J=52 and R=80 and add them together. Then you subtract them by 180 because thats the area of all triangles. Hope this helps! <3
if f(x)=2x^2 +3x what is f(9)
Answer:
f(9) = 189
Step-by-step explanation:
Plug 9 into x
f(9) = 2(9)^2 + 3(9)
f(9) = 2(81) + 27
f(9) = 162 + 27
Thus, f(9) = 189
Answer:
189
Step-by-step explanation:
f(x) = 2x^2 + 3x , f(9)
f(9) = 2(9)^2 + 3(9)
= 2(81) + 27
= 162 + 27
= 189
Yulia observed a sound wave moving through a solid medium at four different temperatures, and she recorded observations about each one in the chart. A 2-column table with 4 rows. The first column labeled Wave has entries W, X, Y, Z. The second column labeled Temperature (degrees Celsius) has entries 15, 33, 12, 2. Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point? Wave X → Wave Y → Wave W → Wave Z Wave Z → Wave W → Wave Y → Wave X Wave X → Wave W → Wave Y → Wave Z Wave Z → Wave Y → Wave W → Wave X
Answer: C. Wave X, Wave W, Wave Y, Wave Z.
The option that ranks the time it will take one wavelength to pass a certain point from fastest to slowest is Wave X → Wave W → Wave Y → Wave Z.
Why is this the correct order?The speed at which sound waves will pass through a medium depends on the temperature of that medium.
The higher the temperature of a medium, the faster sound waves will pass through. This is why Wave X will pass through the fastest at 33°C while Wave W will pass through the second fastest at 15°C and so on.
In conclusion, option C is correct.
Find out more on sound waves at https://brainly.com/question/15666150.
What is the slope of the line with equation y−3= -1/2(x−2)
Answer:
m= -1/2
Step-by-step explanation:
y= -1/2x+1+3
y= -1/2 x +4
Step-by-step explanation:
Hey there
Given;
[tex](y - 3 )= \frac{ - 1}{2} (x - 2)[/tex]
Comparing the equation with (y-y1) = m(x-x1). We get,
[tex]slope(m) = \frac{ - 1}{2} [/tex]
Hope it helps...
What is the measure of B
Answer:
B = 82
Step-by-step explanation:
180 = 143 - A
-143 -143
37 = A
That is to find the measure of angle A
180 = 61 + 37 + B
180 = 98 + B
-98 -98
82 = B
Select the correct answer.
If 32% of a number is 64, what is the number?
ОА.
50
OB.
96
O C.
100
OD.
200
Answer:
D. 200
Step-by-step explanation:
If you would like to solve 32% of a number is 64, you can calculate this using the following steps:
32% of a number is 64
32% * x = 64
32/100 * x = 64 /*100/32
x = 64 * 100 / 32
x = 200
Result: 32% of 200 is 64.
In the equation y=3/2x-4what are the slope and y-intercept?
Answer:
Slope:
3/2
y-intercept:
(0,-4)
Step-by-step explanation:
A beaker of boiling water stops boiling and eventually reaches room temperature. There’s no lid on the beaker. The beaker and its contents must have:
Answer:
lost thermal energy and mass to the surroundings
[tex]14 + 18 \div 2 \times 18 - 72[/tex]
what is it and whats the work?
Answer:
104
Step-by-step explanation:
[tex]14 + 18 \div 2 \times 18 - 72 \\ \\ = 14 + 9 \times 18 - 72 \\ \\ = 14 + 162 - 72 \\ \\ = 176 - 72 \\ \\ = 104[/tex]
Find the Value of x in each proportion
A) 1 meter/3.25 feet = 15.2 meters/x feet
B) 1.6 kilometers/1 mile = x kilometers/25 miles
C) 0.926 meter/1 yard = 200 meters/x yards
D) 1 kilometers/0.6 mile = x kilometers/350 miles
Answer:
A) 49.4
B) 40
C) 0.00539
D)583.33
Step-by-step explanation:
A)
1 meter/3.25 feet = 15.2 meters/x feet
x feet * 1 meter = 15.2 meters* 3.25 feet
x = 15.2 meters* 3.25 feet/1 feet* meter
x = 49.4
B) 1.6 kilometers/1 mile = x kilometers/25 miles
multiplying both sides by 25 miles
(1.6 kilometers/1 mile )* 25 miles =( x kilometers/25 miles) * 25 miles
=> 40 kilometers = x kilometers
x = 40
C) 0.926 meter/1 yard = 200 meters/x yards
dividing both sides 200 meters
0.926 meter/(1 yard*200 meters) = 200 meters/(x yards *200 meters)
185.2 /1 yard = 1/ x yards
x yards = 1 yards/185.2
=> x = 0.00539
D) 1 kilometers/0.6 mile = x kilometers/350 miles
multiplying both sides by 350 miles
(1 kilometers/0.6 mile ) 350 miles= (x kilometers/350 miles) 350 miles
=> 583.33 kilometers = x kilometers
x = 583.33
Solve 8x + c = k for x. O A. X = B(k -C) O kto B. X = 8 O C. X = ķ-6 8 D. x = 8(K+c)
Answer: x = k-c/8
Step-by-step explanation:
APEX
3x+8=20. what steps can I take
Answer:
3x+8=20
Step-by-step explanation:
take 8 and minus 8 from both sides then divide 12 by 3x
Step-by-step explanation:
the eight will go another side 8 sign is + after going to another side it changes into minus
I WILL GIVE YOU SO MANY POINTS IF YOU SOLVE THIS AND BRAINLIY PLEASEEEEE ASAPPPPPP USE THE LINK IN YOURE BROWSER AND SOLVE BY TYPING IT NEATLY YOU ARE SAVING A LIFE HERE THXXXX
Answer:
1.) Squares: 6 Circles: 8
2.) Hexagon and Heptagon and Octagon
3.) 18/100
4.) 16
5.) 56$
6.) Area = l × w
= 7 × 3
= 21 inches^2
Step-by-step explanation:
Hitung persamaan garis dan slope dari :
1. (-1,15) ; (3,6)
2. (3,7) ; ( 4,8)
The _____ is the part of a conditional statement that expresses the conditions that must be met by the statement.
Answer:
hypothesis
Step-by-step explanation:
Answer:
The hypothesis is the part of a conditional statement that expresses the conditions that must be met by the statement.
Step-by-step explanation:
Hope this helped you!
Shen wants to earn more than $65 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Shen could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
please help me with this question
hello h8iiiiiiiiiiiiii
Can someone help me please
Answer:
tem
Step-by-step explanation:
3+1=10
Answer:
y = 4x - 5
Step-by-step explanation:
m (rise/run) = 4/1
b (y-intercept) = (0, -5)
A softball player hits a ball whose path is modeled by f(x) = -0.0005x2 + 0.2127x + 3,
where x is the distance from home plate (in feet) and y is the height of the ball above the
ground (in feet). What is the highest point this ball will reach? If the ball was hit to center
field which has an 8 foot fence located 410 feet from home plate, was this hit a home run?
Explain.
Answer:
highest point is 229.20645 ft
yes it's a home run because at 410 ft the ball is at 81.802 ft which is way over the 8 ft fence.
Step-by-step explanation:
The maximum height achieved by the ball is 25.62 ft and it cannot be a home run because height of fence h(f) > 6.16 ft (vertical distance of ball at x = 410 ft).
What is Parabola?A parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. A parabola can be represented with help of following equation -
y = a(x-h)² + k
Given in question is the equation representing path of the ball given by -
y = f(x) = - 0.0005x² + 0.2127x + 3.
Here, 'x' represents the distance from the home plate and 'y' is the height of the ball above the ground.
PART - 1 - Maximum height
Assume that -
a = - 0.0005
b = 0.2127
c = 3
So, we can write the given equation as -
y = ax² + bx + c
Now, differentiate it with respect to x, we get -
dy/dx = 2ax + b
For maximum height -
dy/dx = 0
2ax + b = 0
x = - b/2a
x = - 0.2127/ (2 x -0.0005) = 212.7 ft.
y[max] = - 0.0005 x (212.7)² + 0.2127 x 212.7 + 3.
y[max] = - 22.62 + 48.24 = 25.62 ft
PART - 2 - Vertical limits.
At horizontal distance of x = 410 feet, the vertical distance 'y' of the ball will be -
y [410] = - 0.0005 x (410)² + 0.2127 x 410 + 3.
y [410] = - 84.05 + 90.21
y [410] = 6.16
Height of the fence = 8 ft
Since, height of fence > 6.16 ft it cannot be home run.
Therefore, the maximum height achieved by the ball is 25.62 ft and it cannot be a home run because height of fence h(f) > 6.16 ft (vertical distance of ball at x = 410 ft).
To solve more questions on Projectile motion, visit the link below-
https://brainly.com/question/14449370
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how many solution does 2x – 1 = 1 – 2x have?
Answer:
1
Step-by-step explanation:
Hello,
2x – 1 = 1 – 2x
<=> 2x-1+2x=1
<=> 4x-1=1
<=> 4x = 1+1=2
<=> x = 2/4 = 1/2
Then there is only one solution.
Thanks
Answer:
one solution, x = 1/2
Step-by-step explanation:
2x -1 = 1 -2x
solve using inverse operations
2x -1 = 1 - 2x
+1 +1
2x = 2 -2x
+ 2x +2x
4x = 2
/4 /4
x = 1/2
hence this equation has one solution x = 1/2
HELP FAST ITS EASY BUT IDK HOW ITS WRONG ITS ONLY true or false
Answer:
on p or q put
Step-by-step explanation:
1) p and q true
2) q false
3) p false
4) p and q false
Look At the picture PLEASE
Answer:
answer is D
Step-by-step explanation:
because 4÷4=1
16÷4=4
Answer:
B
Step-by-step explanation:
Square root is a number multiplied by itself to get the answer
2/4 times 2/4 = 4/16
A pizza shop charges $9 for a large cheese pizza. Additional toppings cost $1.25 per topping. Heather has$16.00 for her large pizza. How many toppings can she order?
Answer: Heather can order 5 toppings
Step-by-step explanation:
topping one: $10.25
topping two: $11.50
topping three: $12.75
topping four: $14.00
topping five: $15.25
If she gets any more toppings she won't have enough.
5 Toppings Total
Place parentheses in the expression so that it equals the given value 12 = 2 X 23; value: 120
I need help on 14 and 15.
Answer:
14 one 15 6
Step-by-step explanation:
Choose the two rectangular prisms that have a volume of 36 cm”.
= 1 cm3
A.
D.
B.
E.
C.
Answer:
B & D
Step-by-step explanation:
Volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
For (a):
[tex]Length = 3cm[/tex]
[tex]Width = 4cm[/tex]
[tex]Height = 5cm[/tex]
[tex]Volume = 3cm * 4cm * 5cm[/tex]
[tex]Volume = 60cm^3[/tex]
For (b):
[tex]Length = 3cm[/tex]
[tex]Width = 4cm[/tex]
[tex]Height = 3cm[/tex]
[tex]Volume = 3cm * 4cm * 3cm[/tex]
[tex]Volume = 36cm^3[/tex]
For (c):
[tex]Length = 4cm[/tex]
[tex]Width = 2cm[/tex]
[tex]Height = 2cm[/tex]
[tex]Volume = 4cm * 2cm * 2cm[/tex]
[tex]Volume = 16cm^3[/tex]
For (d):
[tex]Length = 2cm[/tex]
[tex]Width = 3cm[/tex]
[tex]Height = 6cm[/tex]
[tex]Volume = 2cm * 3cm * 6cm[/tex]
[tex]Volume = 36cm^3[/tex]
There's no need to check for (e)
Option b and d answers the question
Using the volume of a rectangular prism to examine the volumes of the prism, the two prisms with a volume of 36cm³ are B and D
Recall :
Volume of a rectanglular prism = Length × width × HeightPrism A :
Length = 3cm ; Height = 5cm ; Width = 4cmVolume = 3cm × 5cm × 4cm = 60 cm³
Prism B :
Length = 3cm ; Height = 3cm ; Width = 4cmVolume = 3cm × 3cm × 4cm = 36 cm³
Prism C :
Length = 4cm ; Height = 3cm ; Width = 2cmVolume = 4cm × 3cm × 2cm = 24 cm³
Prism D :
Length = 2cm ; Height = 6cm ; Width = 3cmVolume = 2cm × 6cm × 3cm = 36 cm³
Prism E :
Length = 3cm ; Height = 5cm ; Width = 4cmVolume = 4cm × 2cm × 2cm = 16 cm³
Hence, the two rectangular prisms with a volume of 36cm³ are B and D.
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