3. You need to hire a taxi. Taxi A charges $9.25 plus $1.50 per mile. Taxi B charges $10.50 plus $1.25 per mile. Find the number of miles for which the total costs are the same for each taxi.

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\sqrt{12} \times\sqrt{12}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{12}\sqrt{12}=12[/tex]

[tex]=12[/tex]

The value of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12

To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.

[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]

This law is given as

[tex]a^m+a^n = a^(^m^+^n^)[/tex]

let's substitute the values in this question.

[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]

Let's apply the law and solve the radical

[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]

Solve the fractions

[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]

substitute the values and solve

[tex]12^\frac{1}{1}=12[/tex]

from the calculations above, the value of the radical is 12.

Learn more on laws of indices here;

https://brainly.com/question/10339517

Answer:

B and E are the only correct answers.

Step-by-step explanation:

The top can's diameter is 2 inches, so the radius is 1. First find the area of the circular end, pi * r^2, 3.14 * 1^2 = 3.14

Then multiply by the height  3.14 * 5 = 15.7 cubic inches

The middle can's diameter is 5 inches so the radius is 2.5.

3.14 * 2.5^2 = 3.14 x 6.25 = 19.625

Multiply by the height 19.625 * 3 = 58.875 cubic inches

The bottom can's diameter is 6 inches, so the radius is 3. 3.14 * 9 = 28.26

Multiply by the height 28.26 * 2 = 56.52 cubic inches

15.7 + 58.875 + 56.52 = 131.095

B and E are the only correct answers.

Answer:

[tex]\displaystyle [9, 4\frac{1}{2}][/tex]

Step-by-step explanation:

I figure these exercises out by numeric association. I see a 3, so I know right away that there might be a 9 somewhere. So, you start by plugging 3 in for [tex]\displaystyle x,[/tex] THEN plug [tex]\displaystyle 1\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] sinse there are twise the quantity of [tex]\displaystyle y[/tex] than there are of [tex]\displaystyle x.[/tex] Now, doing so will give you [tex]\displaystyle 24 ≠ 18.[/tex] This tells you to try another pattern, so go with plugging [tex]\displaystyle 4\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] and [tex]\displaystyle 9[/tex] in for [tex]\displaystyle x[/tex]. Doing so gives you what you are looking -- [tex]\displaystyle 36 = 36.[/tex] Therefore, the association wourked perfectly. ☑

I am joyous to assist you at any time.

That locked sign defines that both sides are equal.

The equations are

From (1) and (2)

[tex]\\ \rm\Rrightarrow 4y-9=2y[/tex]

[tex]\\ \rm\Rrightarrow 2y=9[/tex]

[tex]\\ \rm\Rrightarrow y=9/2=4.5[/tex]

Put in eq(1)

Hence

Answer:

Step-by-step explanation:

1) So -8+2v<2, 2v<10, v<5. That means that at "5" on the axis, you'll draw a circle that's not filled in (because it's <5, not [tex]\leq[/tex]5) and then draw a box-y thing to the left. Sorry, can't really describe it, but if you look at the picture attached, you'll understand

2) -12m-8[tex]\leq[/tex]-5m-7m, so -12m-8[tex]\leq[/tex]-12m, -8[tex]\leq[/tex]0. This one doesn't have a variable... so you can't really graph it?

Answer:

  86.63 ft

Step-by-step explanation:

The tangent relation applies.

  Tan = Opposite/Adjacent

  tan(77°) = (tree height)/(20 ft)

  tree height = (20 ft)·tan(77°) ≈ 86.63 ft

_____

Additional comment

It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.

Answer:

3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

3

Step-by-step explanation

Answer:

So the answer would probably be 4.8 feet?

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

his ratio of shots from the first game would be 14:40 or 7:20

so if he made the same ratio from 60 shots it would be

21:60

Answer:

34 Model B gloves were sold

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

Answer:

x=1

y=-1

Step-by-step explanation:

they have already isolated y in both equations

label both equations

y=-x............1

y=3x-4........2

sub 1 into 2

-x=3x-4

-x-3x=-4

-4x=-4

x=1........ 3

sub 3 into 1

y=-(1)

y=-1

Answer:

  D, A, E, C, B   or   2, 5, 4, 1, 3

Step-by-step explanation:

In general, you compare each line to the one before, and figure out what step was taken. Anything involving an arithmetic operation is allowed by the <Operation> Property of Order.

1. Matches the equation you're solving. This equation is Given.

2. The parentheses have been eliminated by multiplying their insides by the factor outside. The Distributive Property says you can do that.

3. The term 7x has been subtracted from both sides. The Subtraction Property of Order says you can do that.

4. The term -20 has been eliminated by adding 20 to both sides. The Addition Property of Order says you can do that.

5. Both sides have been divided by 18. The Division Property of Order says you can do that.

Refer to the table.

72 degree

It is given that :

Soccer: 5

Jogging: 20

Walking: 10

Skiing: 5

Football: 10

50 hours

The total hour is given as 50 hours. Out of which walking is 10 hours.

Therefore, in degree the portion of walking will be : 74 degrees

hope this helps :)

Answer:

i think that the answer is b

hope it helps

An expression can either be positive, negative or none.

The sign of the expression is neither positive nor negative.

The fraction expression is given as:

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right)[/tex]

Open the bracket

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23}{45}-\dfrac{23}{45}\right[/tex]

Take LCM

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23 - 23}{45}[/tex]

Simplify the numerator

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{0}{45}[/tex]

Divide 0 by 45

[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = 0[/tex]

0 is neither positive nor negative.

Hence, the sign of the expression is neither positive nor negative.

Read more about signs of expressions at:

https://brainly.com/question/11388301

Answer:

 6 pears

Step-by-step explanation:

The difference in the number of ratio units is 5-3 = 2. This corresponds to an original difference of 2+2 = 4, so each ratio unit represents 2 pieces of fruit.

The original ratio is ...

  6 pears : 10 apples

There were 6 pears in the basket.

Answer:

5/3

Step-by-step explanation:

Use rise over run

it goes up five and goes right three.

If it were to go to the left it would be negative

Same rules apply if it were to go down it would be negative

Answer:

162

Step-by-step explanation:

In geometry, dialation is increasing the size of a shape on a plane. Since the porblem you have givine isn't requiring the triangle to be centered around a point, this is fairly easy. If you are increasing UVW by a scale factor of 3, you are multiplying each side by 3. So, if side VW is 54, after dilation VW' will have a length of 162. (54 × 3 = 162)

Hope that helped!

Answer:

hear is ur answer....

Step-by-step explanation:

Observation market research is a technique which involves directly observing consumers or another target audience in their natural environment - for instance, watching how shoppers stop outside a fashion retailer, what they are drawn to in a window display and which direction they go after entering the store.

Answer:

The sale price he paid for the TV was $403.20

Step-by-step explanation:

You multiply the original price by .4 (40%). Then, you subtract that number from $672 to find the price Jayden paid! :)

The fraction of the time given in a day is 1/288

Given the following parameters

We are to get the fraction of this time in a day.

Convert 1 day to minute

Fraction = 5/1440

Fraction = 1/288

Hence the fraction of the time given in a day is 1/288

Learn more on fractions here: https://brainly.com/question/78672

Answer:

the answer to your question would be 3mm hope you have a wonderfull day!

Answer:

3 mm

Step-by-step explanation:

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Circumcenter

Step-by-step explanation: