Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy
a special highway engine oil that will save him 50 cents in gas for every 25 miles of the
trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he
has a coupon for $4 dollars off the price?

Answer:

225

Step-by-step explanation:

if you convirt them all to fractions and make it 5/1*10/1*36/1=225

Step-by-step explanation:

sum of angles in ∆ = 180

48+6x-28+2x = 180

20+4x = 180

4x = 160

x = 40

b = 212

c = 80

Answer:

X = 6. Give brainliest

Step-by-step explanation:

Solution:

x² - 36 = 0

or x² = 36

or x² = 6²

Therefore, the value of x is 6.

Answer:

x^2-36=0

x^2-36+36=0+36

x^2=36

x=√(36),x=-√(36)

√(36) → 6

-√(36) → -6

x=6,x=-6

Answer:

Step-by-step explanation:

You want to find the perimeter and area of a sector that is 3/4 of the circle. The perimeter will be the sum of twice the radius and the length of the arc. The area will be 3/4 of the area of the full circle.

__

The length of a circular arc is ...

  s = rθ . . . . . where θ is the central angle in radians

  s = (11 in)(3/2π) . . . . . . . a 3/4 circle has a central angle of 3/2 radians

  s = (11 in)(3/2)(3.14) = 51.81 in

When we add the two radii to this, we get a total perimeter of ...

  P = 2r +s = 2(11 in) +51.81 in = 73.81 in . . . . perimeter of the figure

__

The area of a sector is given by the formula ...

  A = 1/2r²θ . . . . . where r and θ are the radius and central angle (in radians)

  A = 1/2(11 in)²(3/2π) = (1/2)(121 in²)(3/2)(3.14)

  A = 284.955 in² . . . . area of the figure

Answer:

10 miles

Step-by-step explanation:
Before he goes anywhere there is a fee of $3.50. $10 - $3.50 = $6.50. If you divide $6.50 by $0.65 you can find how many miles he can ride. $6.50 divided by $0.65 = 10. That means Ian can ride the taxi for 10 miles.

Answer:

[tex]y < 3x+4[/tex]

short explanation:

1) the common view of slope-interception form is:

y < slope*x+intercept or y>slope*x+intercept. Then

2) according the form above:

3x-y>-4;

y<3x+4.

Step-by-step explanation:

You must set up a proportion, it is called finding the geometric mean.

[tex] \frac{x}{4} = \frac{36}{x} [/tex]

Then, you must cross multiply to get:

[tex] {x}^{2} = 144[/tex]

Then, take the square root

[tex] \sqrt{ {x}^{2} } = \sqrt{144} [/tex]

[tex]x = 12[/tex]

If this answer helped you, I would greatly appreciate the brainliest :D

Answer:

C. 891.

Step-by-step explanation:

This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.

Area of a triangle = 1/2 * base * height

Area of 1 triangle in this  polygon = 1/2 * 12 * 16.5

Area of the polygon = 9 *  1/2 * 12 * 16.5

=  891

Answer:

[tex]\boxed{\sf{x=\dfrac{25}{2}=12.5}}[/tex]

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

[tex]\sf{\log _{10}(x)+\log _{10}(8)=2}[/tex]

First, subtract by log₁₀(8) from both sides.

[tex]\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}[/tex]

Solve.

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)}[/tex]

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

1

Step-by-step explanation:

65.751 = 6 x 10 + 5 x 1 + 7 x 1/10 + 5 x 1/100 + 1 x 1/1,000

6 x 10 = 60

5 x 1 = 5

7 x 1/10 = 0.7

5 x 1/100 = 0.05

1 x 1/1000 = 0.001

60 + 5 + 0.7 + 0.05 + 0.001 = 65.751

Answer:

3.544>3.455

Step-by-step explanation:

This is because if you look at the numbers .5 is greater than (>) .4

Answer:

To find the mean absolute deviation take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set.

6,6,3,4,4 - Mean Absolute Deviation: 1.12

Answer:

Minimum weight = 23kg

Maximum weight= 34kg

Step-by-step explanation:

Find the lowest and highest weight

Answer:

See below ↓↓

Step-by-step explanation:

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below the line.It is used to study the nature of relation between two variables.

Solution:

Draw a line through the maximum number of points, balancing about an equal number of points above and below the line. Make sure the number points above and below the line are almost same

Answer:

54 + 42 = 6 (9 + 7)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The equation already gives the 7 in the parenthesis, so we know that 7 x 6 = 42.

The 6 will be on the outside of the equation since we will be using Distributive Property to multiply the 6 and 7.

Since we already know the 6 is on the outside, your new equation is:

6 x (what number) = 54

54 divided by 6 = 9

Answer: 8

Step-by-step explanation:  if FH=34 and EG should also =34 then what times 4 +2 would = 34 and that would be 8.    EG=4x+2 put the 8 as the x so 4*8+2 and that = 34.

Answer:

You have to pay $3.50 up front before using the kayak

Answer:

1 1/3 cups of milk

Step-by-step explanation:

In our recipe

For every 1 1/2 cups of flour we need  2 cups of milk

then the flour and milk are two proportional quantities

1 1/2 ————-> 2

We know that 1 1/2 = 1/2 + 1/2 + 1/2  then

1/2 + 1/2 + 1/2 ————-> 2

Then (we divide both sides by 3)

1/2 ————-> 2/3

Then (we multiply  both sides by 2)

1 ————-> 4/3

finally , 4/3 = 1 1/3

45-12=33

then divide 33 by 9: 33÷9=3.66666666 repeating forever. you can round up to 3.7.

Answer:

x = 4/3

y = 0

z = 5/4

Step-by-step explanation:

PQ means multiplied matrices.

P+Q means added matrices.

PQ = =

4x+0 4y+0z 4x 4y

0x+5×0 0y+5z 0 5z

P+Q = =

4+x 0+y 4+x y

0+0 5+z 0 5+z

so, for PQ = P+Q we have

4x = 4+x

4y = y

5z = 5+z

4x = 4 + x

3x = 4

x = 4/3

4y = y

3y = 0

y = 0/3 = 0

5z = 5 + z

4z = 5

z = 5/4

Before we solve this problem:

    ⇒ let's figure out what all the variables in the equation stand for

         ⇒ that means we substitute 8 into 't' of the equation

                 [tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]

          *we will round down the number of rabbits since it is impossible to

           have 0.2 of a rabbit

       There will be 4519 rabbits in 8 years.

         ⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'

                [tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]

            *in this case, you want it to the nearest year, round it up since we

             asked for how many years, and if we were to say 11, the

            the population of rabbits wouldn't have reached that number yet,

           so we will round up to ensure that number has been reached by

           that year.

       It will take at least 12 years for the rabbit population to reach 15000

Hope that helps!

Answer:

-4 < x < -1 or x > 1 (the third option)

Step-by-step explanation:

hope this helps

Answer:

I think it is since i already passed that i think that is correct , well good job !!

Step-by-step explanation:

Answer: 7.1

Step-by-step explanation:

7.09<7.10

7.10=7.1

sometimes adding a zero helps

Answer:

Hope the picture will help you!!

Answer:

1/12

THIS DESERVES BRAINLISTTT

Step-by-step explanation:

There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.

A die has 6 sides. A coin has two.

The probability of rolling a 5 on the die is 1/6.

The probability of getting tails is 1/2.

To get the combined probability, we must multiply the two together. This gives us a total probability of 1/12.

The probability of rolling a 5 and getting tails is 1/12.

Use the Distributive Property, which states the following:-

a(b+c)[tex]\rightarrow[/tex]ab+ac

Simplify:-

3(y+4)-7

3y+12-7

Combine Like terms:-

[tex]\sf{3y+5}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

amgle sut is equal to angle suv bcz of sas criteria . so 10+w = 3w

on solving we get w= 5

Answer:

Length can be 14 - 10 inches

Width can be 10 - 14 inches