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3 years ago

6

Mike's Bikes charges an initial fee of $10 to rent a bike plus $5 per hour (h) of use. If the total cost (t) can be determined u

sing the equation t=10+5h, what is the greatest number of hours someone can rent a bike for $25?

1 answer:

Juli2301 [7.4K]3 years ago

6 0

Answer:

It is 3 hrs.

Step-by-step explanation:

because the ten dollars of initial fee takes off the 25 dollars, we have 15 left, and mike's bikes charges $5/hour, so 15/3+=5

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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.

Black_prince [1.1K]

Answer:

$\frac{19}{12}\ pounds$

or

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

4 0

3 years ago

What is the answer to the question. Solve for x

slega [8]

Answer:

Answer:

$x=\frac{75}2$

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular $AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2$

5 0

2 years ago

Simplify each algebraic expression.

GREYUIT [131]

Answer:

$\huge\boxed{\sf-2x+28}\\\\\huge\boxed{\sf 10x-4}\\\\\huge\boxed{\sf 56-5x}\\\\\huge\boxed{\sf x-13}$

Step-by-step explanation:

$\sf 2x + 4(7-x) \\\\Resolving \ Parenthesis\\\\2x + 28-4x \\\\Combining\ like\ terms\\\\2x-4x +28\\\\-2x + 28\\\\\rule[225]{225}{2}$

$\sf \\12x-(4+2x)\\\\12x-4-2x\\\\Combining \ like \ terms\\\\12x-2x - 4\\\\10x-4 \\\\\rule[22]{225}{2} \\2(10-x)+3(12-x) \\\\Resolving \ Parenthesis\\\\20-2x + 36 -3x\\\\Combining \ like \ terms\\\\20+36 -2x-3x\\\\56 - 5x \\\\\rule[225]{225}{2}$

$\sf 7(x-1)-6(x+1)\\\\Resolving \ Parethesis\\\\7x-7-6x-6\\\\Combining \ like \ terms\\\\7x-6x-7-6\\\\x - 13\\\\\rule[225]{225}{2}$

Hope this helped!

~AnonymousHelper1807

3 0

3 years ago

What are the coordinates of point F

densk [106]

Answer:

(4,-2.5)

Step-by-step explanation:

first one is x cordination...it is under the 4

second one is Y cordination..its between -2 and -3

If you understand my answer.mark me as Brainliest...If not...Mark me as BrAiNlEss...☺️

3 0

3 years ago

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. (Use set notation for the domain and ran

Mamont248 [21]

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes.

We know the formula , Distance = speed * time

Speed is constant and it is 12. So it is linear

The function becomes d = 12t, x is the t is the time and d is the distance

At the starting point, t=0 and distance d=0

End point , t=45 min = 0.75 hours and distance = 12 * 0.75 = 9

So domain (t) is { $x|0$ }

Range (d) is { $y|0$ }

5 0

3 years ago

Read 2 more answers