A car rental agency advertised renting a car for $26.95 per day and $0.27 per mile. If David rents this car for 3 days, how many whole miles can he drive on a $100 budget

Answer:

Step-by-step explanation:

[tex]\dfrac{x^{m}}{x^{n}}=x^{m-n}\\\\\\a)\dfrac{a^{5}}{a^{3}}=a^{5-3}=a^{2}\\\\\\b)\dfrac{c^{4}}{c^{3}}=c^{4-3}= c^{1} =c[/tex]

Answer:

A) a^2

B) c

Step-by-step explanation: hope this helps

Answer:

d. took the test

Step-by-step explanation:

Answer:

1. 20 km

2. 0.5 hours

3. 40 km

4. 1.5 hours

5. A, 40 km/hr

6. 80 km/hr, 40 km/hr

Step-by-step explanation:

2. The lines of Car A and Car B at 0.5 hours, meaning the cars have been traveling for 0.5 hours before they met.

1. From 0 hours to 0.5 hours, Car A traveled from 20 km to 40 km. The distance traveled before Car A met Car B was 40 km - 20 km = 20 km.

3. Cars A and B travel at the same speed starting at the 0.5 hour, 40 km point. They are traveling at the same speed from 0.5 hours to 1.5 hours since they share the same line and therefore the same slope. From the point at which Cars A and B met, they traveled from 40 km to 80 km. They traveled at the same speed for 80 km - 40 km = 40 km.

4. Both cars reached point C at the same time of 1.5 hours.

5. Car A had constant speed sicne the lines "Car A" and "Cars A and B" had the same slope. The speed is equal to the slope of the line: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-20}{1.5-0} = 40 km/hr[/tex]

6.

First speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{40-0}{0.5-0} = 80 km/hr[/tex]

Second speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-40}{1.5-0.5} = 40 km/hr[/tex]

a) The initial number of infections refers to the time t = 0, not 1. At the start, there are

[tex]P(0) = \dfrac{700}{1 + 49e^{-0}} = \dfrac{700}2 = \boxed{350}[/tex]

infected students.

b) Here you look for the time t such that P(t) = 600. We have

[tex]\dfrac{700}{1+49e^{-0.3t}} = 600[/tex]

[tex]\dfrac{700}{600} = 1+49e^{-0.3t}[/tex]

[tex]\dfrac76 = 1+49e^{-0.3t}[/tex]

[tex]\dfrac16 = 49e^{-0.3t}[/tex]

[tex]\dfrac1{294} = e^{-0.3t}[/tex]

[tex]\ln\left(\dfrac1{294}\right) = \ln\left(e^{-0.3t}\right)[/tex]

[tex]-\ln(294) = -0.3t \ln(e)[/tex]

[tex]\ln(294) = \dfrac3{10}t[/tex]

[tex]t = \dfrac{10}3 \ln(294) \approx 18.945[/tex]

Rounding up, the school will close after around 19 days.

Answer:

VUX and WXU

Step-by-step explanation:

Hope this helps!

Answer:

The first option.

Step-by-step explanation:

Alternate interior angles are the angles sandwiched together between the parallel lines and are on opposite sides of the line going through the parallel lines.

The interest rate of Jill's account as described is; 0.51%

The amount invested by Jill is $7,972.

According to compound interest;

In which case;

Therefore;

[tex]1 + r = \sqrt[15]{2.117} [/tex]

The interest rate is therefore; 0.51%

Read . more:

https://brainly.com/question/18187284

∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)

The given triangle ΔHFE is similar to triangle GFH and triangle GHE.

Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.

Here,

Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG

Similarly

ΔHFE is similar to triangle ΔGHE.

Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.

Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.

Learn more about similar triangles here:

https://brainly.com/question/12101336
#SPJ2

Answer:

Because its an internationally accepted method.

Step-by-step explanation:

Answer:

5.46 pounds

Step-by-step explanation:

0.78 x 7 = 5.46

Divide distance by time:

690 meters / 6 minutes = 115 meters per minute

Speed = 115 meters per minute

Answer:

[tex]\huge\boxed{\sf v = 1.92\ m/s}[/tex]

Step-by-step explanation:

Given Data:

Distance = S = 690 meters

Time = t = 6 min = 6 * 60 = 360 seconds

Required:

Speed = v = ?

Formula:

v = S / t

Solution:

v = 690 / 360

v = 1.92 m/s

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

matway hel you 1+1+212FE

Answer:

$15,000

Step-by-step explanation:

Let P represent Aiden's current pay.

If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.

P + 0.15P = 17250

1.15P = 17250

P = 17250/1.15 = 15000

His salary before the increase was $15,000.

Answer:

$14662.5

Step-by-step explanation:

Aiden receives a pay rise of 15%

increases their pay to $17,250

15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase

Answer:

147

Step-by-step explanation:

ADD IT

Answer:

(2x+1+x^2+2x-1)*2=2x^2+8x

Step-by-step explanation:

Answer:

EF= 18 in. , m<F=134'

Step-by-step explanation:

This ones for the boys with the booming system, top down ac with the cooling sytem

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

- 36 + (-74)

- 36 - 74

- 110

<3

Answer:

174 m^2

Step-by-step explanation:

9 * 5 = 45

9 * 5 = 45

9 * 3 = 27

9 * 3 = 27

5 * 3 = 15

5 * 3 =15

45+45+27+27+15+15 = 174 m^2

Hope this is helpful.

Answer:

174 m²

Step-by-step explanation:

9 * 5 = 45 (that's the bottom and top areas)

9 * 3 = 27 (that's both the bigger sides areas)

5 * 3 = 15 (that's both the smaller sides areas)

Now  you have to double:

45 * 2 = 90

27 * 2 = 54

15 * 2 = 30

Now sum:

90 + 30 + 54 = 174

Answer:

7

Step-by-step explanation:

We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7

Step-by-step explanation:

25% of 1.60

25 ÷ 100 × 1.60

= 0.4

Cost of sweets this year : 1.60 + 0.4

= 2

Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:

1/9 = 7/63

2/9 = 14/63

while

1/7 = 9/63

Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,

1/7 = 1/9¹ + 2/63.

We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and

1/9² = 7/567

2/9² = 14/567

3/9² = 21/567

while

2/63 = 18/567

Then

2/63 = 2/9² + 4/567

so

1/7 = 1/9¹ + 2/9² + 4/567

Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and

1/9³ = 7/5103

2/9³ = 14/5103

3/9³ = 21/5103

4/9³ = 28/5103

5/9³ = 35/5103

6/9³ = 42/5103

while

4/567 = 36/5103

so that

4/567 = 5/9³ + 1/5103

and so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103

Next, LCM(5103, 9⁴) = 45927, and

1/9⁴ = 7/45927

2/9⁴ = 14/45927

while

1/5103 = 9/45927

Then

1/5103 = 1/9⁴ + 2/45927

so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927

One last time: LCM(45927, 9⁵) = 413343, and

1/9⁵ = 7/413343

2/9⁵ = 14/413343

3/9⁵ = 21/413343

while

2/45927 = 18/413343

Then

2/45927 = 2/9⁵ + remainder

so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder

Then the base 9 expansion of 1/7 is

0.12512..._9

Distribute

-6(8p+3)

-48p-18

Solution

-48p-18

Answer:

I would guess $21.29, Not completely sure though lol

Step-by-step explanation:

Hope this helps!! lol

Answer:

22

Step-by-step explanation:

if you don't understand it just tell me I'll re-do it. bye.

Answer:

x = 3

Step-by-step explanation:

4 + 12.5 > 11x - 3.5 - 2x

16.5 = 5.5x

16.5/5.5 = x

Answer:

B

Step-by-step explanation:

B

Answer:

yy is the comparative narrow of speech to me happy and a bit in a sentence

Step-by-step explanation:

ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be