The Salinas brothers, Juan and Carlos, have collected pledges for a bike rally they plan to have to raise money for their boy scout troop. Carlos's pledges total $11.50/mi and Juan's pledges total $9.75/mi. Carlos can peddle 10 mi/hr and Juan can peddle 12 mi/hr. If they plan to start and stop at the same time, how many hours will they have to bike if they want to raise at least $1000 together?

Answers

Answer 1

Answer:

5 hours

Step-by-step explanation:

Given that :

Juan:

Rate = 12mi/hr

$9.75/mi

Carlos :

Rate = 10mi/hr

$11.50/mi

To raise atleast $1000 altogether :

Let number of hours = h

Distance = rate * time

[(12*h) * 9.75] + [(10*h) * 11.50] ≥ 1000

[117h + 105h] ≥ 1000

222h ≥ 1000

h ≥ 1000/222

h ≥ 4.504

To earn atleast $1000 altogether, they must work for atleast 5 hours (nearest whole number).


Related Questions

-3 -5 1 0 3
Three different numbers from the list are added together to give the smallest possible total.
Complete the sum below.

Answers

The answer is -3 + -5 + 0 = -8 :)

Don deposited $3,500 for 5 years on 2.40 pa interest rate in his savings account how much simple interest will he earn

Answers

3,500 (.024) = 84
84 (5) = $420 in simple interest

Joey has already taken 3 pictures at home, and he expects to take 1 picture during every
day of vacation. How many days will Joey have to spend on vacation before he will have
taken 13 pictures?

Answers

As he’s already taken 3, he only needs 10 more photos for 13. So he needs 10 days to get the rest
He has to spend 10 days on vacation, because he already took 3 pictures at home.

A factory can fill 225 bottles of orange juice each hour. Each bottle of orange juice contains 24 fluid ounces. Each bottle of juice sells for $5.50. How many fluid ounces of juice are filled in each 12-hour shift?

Answers

Answer:

27 i think

Step-by-step explanation:

I divided them to make sure its right im not 100 percent sure tho

Sweet Treats Bakery is placing an order for 6,795 kilograms of sugar. That is 25% less than the bakery requested in its last order. How much sugar did Sweet Treats Bakery order then?

Answers

Answer:

9060

Step-by-step explanation:

let s be the amount of sugar the bakery ordered in the last order

s - 0.25s = 6795

0.75s = 6795

divide both sides by 0.75

9060

Zainab has 25 beads.
She gives 6 of the beads to Lucy.
What fraction of the 25 beads does Zainab have now?
Give your answer in its simplest form.

Answers

It should just be 19/25, Hope this helped :)

Answer:

19/25 it cant simplified

Step-by-step explanation:

may someone help me ASAP? I am solving polynomial equations and I don't know how to do it, here is the equation... x^4+11x^2=3x^2+128

Answers

Answer:

[tex]x=2\sqrt{2}[/tex], [tex]x=-2\sqrt{2}[/tex], [tex]x=4i[/tex], [tex]x=-4i[/tex]

Step-by-step explanation:

[tex]x^4+11x^2=3x^2+128[/tex]

First, we subtract 128 from both sides:

[tex]x^4+11x^2-128=3x^2[/tex]

Then, we subtract [tex]3x^2[/tex] from both sides:

[tex]x^4+8x^2-128=0[/tex]

Rewrite the equation:

[tex]u^2+8u-128=0[/tex]

Insert and solve:

[tex]u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i[/tex]

Please give Brainliest

In this cube each small square has a side length 1 unit what is the surface area of this cube

Answers

Answer:  6 square units

==============================================================

Work Shown:

x = side length = 1 unit

SA = surface area of cube

SA = 6x^2

SA = 6*1^2

SA = 6*1

SA = 6

The surface area of the cube is 6 square units.

-------------------------

Side note:

In general, each face is x*x = x^2 units in area, and there are 6 of those faces. This is why the general surface area is 6x^2. In this case, each face is 1 square unit, so all 6 faces lead to a total of 6 square units.

If 15 is 25% of a value, what is that value? A. 40 B. 65 C. 75 D. 60

Answers

Answer:

d. 60

Step-by-step explanation:

x=15/0.25

15/0.25=60

Help me please I need this grade!

Which expression is equivalent to 24x + 18y?

A) xy + 42

B) 6(4x + 3y)

C) 6xy(4 + 3)

D) 42xy

Answers

Step-by-step explanation:

The Answer is C I got it right on edge.

Answer:

B) 6(4x + 3y)

Step-by-step explanation:

I got that one wrong I got a 90 but B is it

Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio. Enter your answer to 7 decimal places if necessary. Use a calculator. 12, −2.4, 0.48, ...; 7th term The 7th term of the sequence is

Answers

Answer:

The 7th term of the sequence is 0.000768

Step-by-step explanation:

As given, the sequence is : 12, -2.4 , 0.48, ....

The first term = 12

Second term = -2.4

Third term = 0.48

Common ratio = [tex]\frac{-2.4}{12} = \frac{0.48}{-2.4} = -0.2[/tex]

Fourth term = 0.48(-0.2) = -0.096

Fifth term = -0.096(-0.2) = 0.0192

Sixth term = 0.0192(-0.2) = -0.00384

Seventh term = -0.00384(-0.2) = 0.000768

What is the value of x? Enter your answer in the box.

Answers

i think it’s 22, not sure tho

Solve each system of equations algebraically

y=x+2
y=-3x​

Answers

Answer:

Your answer is: (-1/2, 3/2)

Step-by-step explanation:

y = x + 2

y = -3x

Use substitution by plugging the second equation into the first.

-3x = x +2

Subtract x from both sides to combine the variables.

-4x = 2

Divide both sides by -4 to isolate the variable x.

x = 2/-4

Simplify.

x = -1/2

Plug x into one of the equations to find y.

y = (-1/2) + 2

y = 3/2

Plug x into the other equation to confirm your answer.

y = -3(-1/2)

y = 3/2

Your answer is: (-1/2, 3/2)

for each ordered pair determine whether it is a solution to 4x-7y=19

Answers

Answer:

No Solution

Step-by-step explanation:

all the ordered pair doesn't satisfy the equation.

PLSSSS HELP CORRECT ANSWER GETS BRAINLIEST
Answers
1.A
2.B
3.C

Answers

Answer:

C

Step-by-step explanation:

I will mark as the brainiest if you get this correct
thx so much xxx

Answers

360 g plain flour
3 eggs
900 ml milk

4. David makes $ 16,000 a year. He gets paid SEMIMONTHLY (24 times a year). What is the amount
per pay?*

Answers

Answer:

$384,000

Step-by-step explanation:

Answer: Well if we have to round up i would say he makes about 6660.60 dollars a day

If there are any answer choices maybe i could help a bit morec

Step-by-step explanation:

What is the distance from A(-3, 6) to B(4, -3)?

\/~~32

\/~~-32

\/~~10

\/~~130

Answers

Answer:

D)  √130

The distance of the given points

AB = √130

Step-by-step explanation:

Explanation:-

Given points are A(-3,6) and B( 4,-3)

The distance formula

   AB = [tex]\sqrt{x_{2}-x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

 AB = [tex]\sqrt{(4-(-3))^{2} +(-3-6)^{2}[/tex]

 AB = [tex]\sqrt{(7)^{2} +(-9)^{2} }[/tex]

AB = [tex]\sqrt{49+81}[/tex]

AB = √130

HELP PLS ASAP i’ll mark as brainliest if correct !

Answers

Answer is 1 : 3 or C

help me just onen question

Answers

Answer:

maybe 58 im not sure sorry

Step-by-step explanation:

Answer:

yeet

Step-by-step explanation:

please help on this

Answers

Answer:

Try the first one but I think i that it

Step-by-step explanation:

Hope that helps

What is the slope of the line
represented by 5x – 7y = 9?

Answers

Answer:

5/7.

Step-by-step explanation:

Convert to slope-intercept form:

5x – 7y = 9

Subtract 5x from both sides:

-7y = -5x + 9

Divide through by -7:

y = (-5/-7) x + -9/7

y = 5/7 x - 9/7

The slope is 5/7.

Can someone please help I’ll mark you the brainiest

Answers

Answer:

try photo math it's meant for this kind of stuff

Huy is incorrect.He made a mistake in step 2 of the solution for adding 9 both times

MONEY Claudio went for a walk. While he was walking, $1.35 fell out of his pocket. When he returned home, he counted his money and had $2.55 left. Write and solve an equation to find how much money was in Claudio’s pocket when he started his walk.

Answers

Answer:

3.9 that's how much he had

Answer:

He had $3.90 at the start of his walk.

Step-by-step explanation:

To find out how much money he had before his walk, you would take 2.55 + 1.35 and that you give you 3.9. But since we are dealing with money, you need to have the 0 at the end. So he started with $3.90 when he started his walk.

A 180 foot length of fence is placed around a three-sided animal pen. Two of the sides of the pen are 72 feet and 78 feet. Does the fence form a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:

Length of the third side

[tex]180-(72+78)=30\ \text{ft}[/tex]

The hypotenuse is always the longest side of a right triangle.

So, the hypotenuse here is [tex]c=78\ \text{ft}[/tex]

[tex]a=72\ \text{ft},b=30\ \text{ft}[/tex]

[tex]c=\sqrt{a^2+b^2}\\\Rightarrow c=\sqrt{72^2+30^2}\\\Rightarrow c=\sqrt{6084}\\\Rightarrow c=78\ \text{ft}[/tex]

The Pythagoras theorem applies so the fence does form a right triangle.

Work out the size of angle x

Answers

A Right Triangle equals 90 degrees. So the equation would be 90-43=x or 90-43=47. So the missing angle would be 47 degrees

Simplify the following
16a^2b^3c^6/48ab^5c^6​

Answers

Answer:

a/3b^2

Step-by-step explanation:

16a^2b^3c^6/48ab^5c^6

the c^6 cancel out, then simplify a^2 and a: ​16a^2b^3/48ab^5 = ​16ab^3/48b^5

Then divide 48 and 16 you get 3 ​16ab^3/48b^5 = ab^3/3b^5

And lastly, simplify b^3 and b^5  ab^3/3b^5 =

a/3b^2

Fractions easy.
I just need answer for c and d

Answers

Answer:

i think C is 27 1/2 and D is 2 1/22 i dont know though let me know if its wrong

Step-by-step explanation:

i just turned them into mixed numbers

Solve the system of linear equations using Substitution
5x + 2y= 9
y = -x-3

Answers

Answer:

(5, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

5x + 2y = 9

y = -x - 3

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                 5x + 2(-x - 3) = 9[Distributive Property] Distribute 2:                                                                5x - 2x - 6 = 9Combine like terms:                                                                                        3x - 6 = 9[Addition Property of Equality] Add 6 on both sides:                                   3x = 15[Division Property of Equality] Divide 3 on both sides:                                 x = 5

Step 3: Solve for y

Define original equation:                                                                                y = -x - 3Substitute in x:                                                                                                 y = -5 - 3Subtract:                                                                                                          y = -8

A class is made up of 12 boys and 13 girls. What percent of the class is boys?

Answers

Answer:

12/13 or 92.31%

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

So, we have to find what percentage is 12 out of the whole thing so:

We add the boys and the girls together to get the whole thing:

12 + 13 = 25

Then we turn it into a fraction:

12/25 = 48/100

So, 48% of the class is boys

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