One taxi company
charges $5 just to
stop, and $0.8 per
mile after that.
Another taxi company
charges $11 just to
stop, and $0.6 per
mile after that.
For _____miles the
two companies will
cost the same.

Answer:

Equation: \(y=-\frac{5}{4} x\)

Slope: \(-\frac{5}{4}\)

Point: \((-4,5)\)

Step-by-step explanation:

To find the slope, you need two points \((-4,5)\) and \((0,0)\).

Then use the Slope Formula to Identify the slope.

M = Slope

M = \(\frac{y2-y1}{x2-x1}\)         Second y being subtracted by the first y / the second x being subtracted by the first x.

M = \(\frac{0-5}{0--4}\)          Plot the x and y values (In order) Then subtract

M = \(\frac{-5}{4}\)             Move the negative sign

M = \(-\frac{5}{4}\)

Slope = \(-\frac{5}{4}\)

Then the Equation has to be written in Slope-Intercept Form (y=mx+b)

y = \(-\frac{5}{4} x\)

The required temperature is 180K

Direct variation shows that when a variable is increasing or decreasing the other variable is also increasing/decreasing.

If the volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P, this is expressed as

V = kT/P

Given that

V = 160 cm³ when T=320 kelvin and P = 12kg, hence;

160 = 320k/12
1 = 2k/12

2k = 12

k = 6

If V = 90 cm³ and P = 16kg/cm², then the value of the temperature is expressed as:

90 = 6T/16
15 = T/16
T = 15 * 16
T = 180K

Hence the required temperature is 180K

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Answer:

3/2 or 1.5 or 1 1/2

Step-by-step explanation

To divide, you must switch the -1/4 to its reciprocal which is -4/1 and then multiply the fractions (-3/8 * -4/1) and since negative - negative = positive. It's a positive.

Answer:

-x-9

Step-by-step explanation:

-1(x+9)

(-1)(x) + (-1)(9)

(-x) + (-9)

-x-9

Answer:

-9x

Step-by-step explanation:

(x+9)=(9x) and then

9x x -1

-9x is the answer

Answer:

Length of the fence = 40 ft

Step-by-step explanation:

As the yard for the pet is square shaped with area 100 sq. ft, length of each side is given by  

             \(\sf side =\sqrt{area}\\\\ side = \sqrt{100}\)

                    = 10 ft

Perimeter:

          Perimeter of square = 4 *side

                                             = 4 * 10

                                              = 40 ft

Using the commutative property for (-5) * 8, we can say that;  (-5) * 8 = 8 * (-5)

The commutative property of algebraic multiplication states that changing the order of factors does not change the product. For example:

4 × 3 = 3 × 4

Similarly, 5 * 6 = 6 * 5

Now, we want to use commutative property to use (-5) * 8. Thus, we can say that;  (-5) * 8 = 8 * (-5)

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ANSWERS

Hot dog meal: $4

Hamburger meal: $9

EXPLANATION

We can write a system of equations

• x: cost of each hot dog meal

• y: cost of each hamburger meal

Mrs. Whitehead bought 2 hot dog meals and 3 hamburger meals and spent $35:

Mr. Howell bought 1 hot dog meal and 4 hamburger meals and spent $31:

The system of equations is:

Using the elimination method - which consists in subtracting one equation from the other in order to eliminate one of the variables - we can find

Answer:

nickels- 5, quarters- 11

Step-by-step explanation:

nickel= 5 p,  quarter= 25 p

5x+25(x+6)= 300

30x+150=300

30x=150

x=150/30

x=5 nickels

x+6= 11 quarters

Answer:

1/30 of an hour

Step-by-step explanation:

Answer:

\(g(x)=(x-4)^2+1\)

Step-by-step explanation:

The graph is shifted 4 to the right and 1 up. When a graph is moving left or right, the sign switches. Right means -, left means +.

The equation of the blue graph is g(x)  = (x+4)² - 2

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

x+4 because adding 4 to the x coordinate would shift it over 4

y+2 because adding 2 to the y coordinate would shift it up 2

⇒ g(f(x)) = ( x+4, y +2 )

⇒ g(x) + 2 = (x+4)²

Hence, the equation of the blue graph is g(x)  = (x+4)² - 2

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Answer:

10

brainliest plz? tysm

Hi! I believe your answer is 10. I hope this helps you! Good luck and have a great day. ❤️ (Thank you for the free points, by the way! :))

Answer:

1084.83932813 which you would round to 1085

Answer:

h = 231 feet

Step-by-step explanation:

Given that,

A person standing 248 feet from the base of a church, x = 248 feet

The angle of elevation to the church's steeple to be 43°.

We need to find the tall of the church. Let the length of the church is h. Using trigonometry to find it.

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=248\times \tan(43)\\\\=231.26\ \text{feet}\)

or

h = 231 feet

So, the height of the church is 231 feet.

The solution to the given linear inequality, r - 6 > -11, is r > -5

From the question, we are to determine the solution of the given inequality

The given inequality is

r - 6 > -11

To determine the solution of the inequality, we will solve the inequality for the unknown variable.

In the inequality, the unknown variable is r.

Solving the inequality for r

r - 6 > -11

Add 6 to both sides

r - 6 + 6 > -11 + 6

r > -5

Hence, the solution is r > -5

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Answer:

150 mi

Step-by-step explanation:

60 mi × 2.5 hr = 150 mi

Answer:

150 miles

Step-by-step explanation:

60 mi/hr for 2.5 hours

60 x 2.5

The train traveled for 150 miles

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Subtract 1 from both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

simplify

divide both sides of the equation by the same term

simplify

Therefore, you get -1/2

Answer:

I believe x = -2.

Step-by-step explanation:

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer:

1728

Step-by-step explanation:

To solve this expression we must multiply 3x4:

3x4=12

Next raise 12 to the 3rd power:

12x12=144

144x12=1728

Hence, the correct answer is 1728

Answer:

1728

Step-by-step explanation:

Multiply 3x4:

3x4=12

Raise 12 to the 3rd power:

12x12=144

144x12=1728

So, the correct answer is 1728

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer is D, because:

Answer:

we conclude that:

Yes!

(3, 27) is a solution of y = 9x.

Step-by-step explanation:

Given

Given the equation

\(y= 9x\)

To determine

To determine whether (3, 27) is a solution

Substitute x = 3, y = 27 in the given equation

\(y= 9x\)

27 = 9(3)

27 = 27

TRUE!

L.H.S = R.H.S

It is clear that point (3, 27) satisfies the equation.

Therefore, we conclude that:

Yes!

(3, 27) is a solution of y = 9x.

Considering the given proportion, the value of \(\frac{a}{a - b}\) is:

C) 2

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion between a and b is given by:

a/b = 2.

Then:

a = 2b.

The expression is:

\(\frac{a}{a - b} = \frac{2b}{2b - b} = \frac{2b}{b} = 2\)

Hence option C is correct.

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The simplification of √x is found as x¹/₂.

For the stated question;

The number is given as √x, which can be written in the form of power and exponent as;

√x = x¹/₂

Thus, he simplification of √x is given as x¹/₂.

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Answer:

Step-by-step explanation:

The first statement is true.  We use 4 as the base and 3.33 as the exponent, obtaining 101.

The second statement is true.  Using 2 as the base and 6.15 as the exponent, we get 71.01, or approximately 71.

Third statement:  3^4.14 = 94.47, which is NOT equal to 24.  False

Fourth statement:  Raise the base (5) to the power 2.60, obtaining 65.66, or approximately 66. True

Fifth statement:  Raise the base (6) to the power 0.17, obtaining 1.36.  This does not match the '11' given.  False

Answer: A, 4 inches.

Step-by-step explanation: 36 divided by 9 is 4.