If the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315 for rental car expenses. One rental car company charges $55 per day and $35 in taxes and fees. They also estimate that they will spend $15 per day on gas. Gabriela wrote the equation (55d+35)+15d=315 to determine the number of days the family can rent a car from this company.

How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?

Answer:

1 box contain 15pens

232 boxes contain x pen

to find x we wil cross multiply

1box = 15pen

232 boxes = x pen

x pen = 232 * 15

= 3480 pens

Hence , office have to sell 3480 pens

Step-by-step explanation:

1 box contain 15pens

232 boxes contain x pen

to find x we wil cross multiply

1box = 15pen

232 boxes = x pen

x pen = 232 * 15

= 3480 pens

Hence , office have to sell 3480 pens

Correction

The function is [tex]p(t)=361e^{kt[/tex]

Answer:

k=0.0259

Step-by-step explanation:

The population function is given as: [tex]p(t)=361e^{kt}[/tex]

Where t=0 corresponds to the year 2000.

In 1980, 1980-2000=-20, p(-20)=215

Therefore:

[tex]215=361e^{k*-20}\\$Divide both sides by 361$\\\frac{215}{361}= e^{-20k}\\$Take the natural logarithm of both sides$\\ln(\frac{215}{361})=-20k\\k=ln(\frac{215}{361})\div (-20)\\k=0.0259[/tex]

Answer:

k ≈ 0.44

Step-by-step explanation:

Given the equation

p(t) = 36e^(kt)

In the year 2000, when t = 0, the population

p(0) = 36e^k............(1)

In 1980, when t = -20, the population was 215000

This implies that

215000 = 36e^(-20k)

e^(-20k) = 215000/36

e^(-20k) = 5972.222

Taking natural logarithm of both sides

ln(e^(-20k)) = ln(5972.222)

-20k = 8.695

k = -8.695/20 = 0.435

k ≈ 0.44

Answer:

see below

Step-by-step explanation:

(-3) ^2

(-3)*(-3)

A negative times a negative

9

If the problem is

- (3) ^2

- (3*3)

- 9

Answer: She would need to listen to 6 songs. 5+0.50*2=1*6

Step-by-step explanation: The first website has a $5 mebership fee plus 0.50 cents per song which means 5 + 0.50 *2 equals $6. The other website is $1 per song no membership fee.

Answer:

  11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

  FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

  6400 = 1200(1 +0.15/4)^(4t)

  16/3 = 1.0375^(4t) . . . . divide by 1200

  log(16/3) = 4t·log(1.0375) . . . . take logarithms

  t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

Answer:

y = x + 3.1

Step-by-step explanation:

As we move from (-8.3, -5.2) to (6.4,9.5), the horizontal change ("run") is 14.7 and the vertical change is 14.7.  Thus, the slope is m = rise / run = 14.7 / 14.7 = 1.

Write out y = mx + b.  Because  m = 1, we have

9.5 = 1(6.4) + b, or  9.5 = 6.4 + b, with the result that b = 3.1

and so the desired equation is                 y = x + 3.1

Answer:

40 coins in each piggy bank

Step-by-step explanation:

Add all the coins together.

95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins

Divide the number of coins by 4.

160 coins divided by 4 piggy banks= 40 coins in each piggy bank

I hope this helps ;)

Answer:

I'm not sure this is an IQ question or not, but logically:

If (− 1 3 ) + 7 = 4, then (− 1 3 ) = 4 - 7 = -3

=> ( 1 3) = 3

=> (1 3) + 6 = 3 + 6 = 9

Hope this helps!

:)

Answer:

30 and 9

Step-by-step explanation:

x+y=39 , x-y=21

Solve for x:

x+y=39 , x-y=21

x= 30

Substitute x with 30:

(30)+y=39 , (30)-y=21

Solve for y:

y=9

Answer:

30 and 9

Eeexplination;

Answer:

i think is b

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

i dont know sorry:(

Answer:

(13,6)

Step-by-step explanation:

Answer:

(13,6)

Step-by-step explanation:

Answer:

[tex]\frac{27}{64}[/tex]

Step-by-step explanation:

Since we are dividing indices here with fractions, we apply the rule to minus the indices from each other when dividing. So,

[tex]\frac{3}{4} ^{6} -\frac{3}{4} ^{3}[/tex]   =     [tex]\frac{3}{4}^{6-3}[/tex]   =      [tex]\frac{3}{4}^{3}[/tex]    =    [tex]\frac{3 * 3 * 3}{4 * 4 * 4}[/tex]      =      [tex]\frac{27}{64}[/tex]

Answer:

the answer is y+2=(x-3). It wasn't clear what the slope was supposed to be but if it is -1 then the third option is correct. Hope this helps :)

Answer:

aaku is right its the 3rd option why are you people rating his answer 2 stars it caused me to get the answer wrong

Step-by-step explanation:

Answer:

The surface area of the Torrid zone is 179,418,254.4 miles^2

Step-by-step explanation:

In this question, we are to estimate the surface area of the Torrid zone

From the question, we can deduce that the Torrid zone is like a cylindrical belt with a height of 3250 miles while the radius of the earth is 3960 miles

Thus, to calculate the surface area of the Torrid zone, we use the formula for the surface area of a cylinder

Mathematically, this is

A = 2πr ( r + h)

In this case, r = 3960 miles and h = 3250 miles

Substituting these values into the equation, we have

A = 2 * 3.142 * 3960(3960 + 3250)

A = 6.284 * 3960(7210) miles^2

A = 179,418,254.4 miles^2

Answer:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

3) 2 × 9² - 7 - 7 - 5 - 1 = 142

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Step-by-step explanation:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

Multiply 2 by 2 by 5 by 7 add to 9 then subtract 7 multiplied by 1

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

Multiply 9 by 7 by 2 by 7 add to 5 multiplied by 2 then add to 7 and subtract 1

3) 2 × 9² - 7 - 7 - 5 - 1 = 2 × 9² - (7 + 7 + 5 + 1) = 142

Multiply 2 by 9 raised to the power of 2 then subtract  the sum of 7, 7, 5 and 1

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Multiply 2 by 7 raised to the power of 2 then add 9 and add 7 multiplied by 5 multiplied by 1.

Answer:

(A)increasing

Step-by-step explanation:

Given the time and total distance ran by Myra in the table below.

[tex]\left|\begin{array}{c|c}Time(minutes)&Distance(miles)\\--&--\\0&0.0\\2&0.4\\4&0.8\\6&1.2\\8&1.6\end{array}\right|[/tex]

We observe that as time increases, Myra's distance also increases. It is the speed(0.2 miles per minute) which is constant.

Therefore Option A is the correct option.

Answer:

its a

Step-by-step explanation:

Answer: 4x + 52

Step-by-step explanation:

Dimension of pen:

The question seems incomplete or incoherent

However, to find the number of feet of fencing required, we calculate the perimeter of the rectangle, which is given by:

The perimeter of rectangle = [2 × ( length + width)]

If longer dimension = 26 feets and width = 2x

Perimeter = 2(2x + 26)

Perimeter = 4x + 52

Therefore, expression for fencing required = (4x + 52)

Answer:

The model is 6 inches tall.

Step-by-step explanation:

Write and solve an equation of ratios:

10 in.         x

--------- = ----------

40 ft.      24 ft.

Cross-multiplication yields:

240 in = 40x, so x = 6 inches.

The model is 6 inches tall.

The scale model is 6 inches.

Important information:

Let the scale model is [tex]x[/tex] inches tall.

The height and width of the building and the scale model are proportional.

[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]

[tex]x=\dfrac{24}{40}\times 10[/tex]

[tex]x=6[/tex]

Therefore, the scale model is 6 inches.

Find out more about 'Scale model' here:

https://brainly.com/question/1664216

Answer:k=5

Step-by-step explanation:

K/2+1/2=3

K/2=3-1/2

K/2=5/2

K=10/2

K=5

8 > 7- yes

7 = 7- no

12 > 7- yes

2 < 7- no

Answer:

The BLM or Black lifes matter is a movements that started with the murther or death of a African american person some days ago

Step-by-step explanation:

Answer:

Sure thing! Volume is length times width times height. It does not matter what order you put the numbers in, though

Step-by-step explanation:

1 is 0.6666666666666666666666666666 infinity

2 is 0.421875

4 is 0.3

5 is 1.3125.

please mark brainliest!!

Answer:

Step-by-step explanation:

1. 1/6 feet

2. 27/64 yards

4. 3/10 inches

5. 21/16 cm

hope this helped you!!

Answer:

20 percent

Step-by-step explanation:

Answer:Now I'm not that smart but it should be 20%

Step-by-step explanation:if you take the 10 and the the 2, since 10 is acting as the 100% the 2 will be the 20%

Hope that helped

Answer:

m² + 3m - 10 = 0

Step-by-step explanation:

Given

(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term

(6x + 5)² - 10 = - 3(6x + 5)

Now let m = 6x + 5 in the equation, that is

m² - 10 = - 3m ( add 3m to both sides )

m² + 3m - 10 = 0

Answer:

m = 2

Step-by-step explanation:

(6x + 5)2 – 10 = -18x – 15

12x + 10 - 10 = -18x - 15

12x + 18x = -15

30x = -15

x = -15/30

x = -1/2

m = 6x + 5

m = 6(-1/2) + 5

m = -3 + 5

m = 2

The answer is [tex]6^{5}[/tex].

Happy to help!

Answer:

[tex]X(a - b) = b (c - x) : x = - -\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]

Step-by-step explanation:

[tex]X\left(a-b\right)=b\left(c-x\right)[/tex]

Switch sides:

[tex]b\left(c-x\right)=X\left(a-b\right)[/tex]

Divide both sides by; [tex]\:b\ne \:0[/tex]

[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]

Simplify:

[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]

Subtract [tex]c[/tex] from both sides:

[tex]c-x-c=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]

Simplify:

[tex]-x=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]

Divide both sides by [tex]-1;\quad \:b\ne \:0[/tex]:

[tex]\frac{-x}{-1}=\frac{\frac{X\left(a-b\right)}{b}}{-1}-\frac{c}{-1};\quad \:b\ne \:0[/tex]

Simplify:

[tex]x=-\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

Answer:

x = [tex]\frac{6}{4+a-2b}[/tex]

Step-by-step explanation:

Given

4x + ax = 2(bx + 3) ← distribute parenthesis

4x + ax = 2bx + 6 ( subtract 2bx from both sides )

4x + ax - 2bx = 6 ← factor out x from each term on the left side

x(4 + a - 2b) = 6 ← divide both sides by (4 + a - 2b)

x = [tex]\frac{6}{4+a-2b}[/tex]

Answer:

11.11% probability that you have missed both friends in the cafeteria

Step-by-step explanation:

We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.

Uniform distribution:

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]

Probability that you miss the first friend:

Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex]

You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.

[tex]P_{1} = P(X \leq 20) = \frac{20 - 0}{30 - 0} = 0.6667[/tex]

Probability that you miss the second friend:

Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex].

You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.

[tex]P_{2} = P(X \leq 20) = \frac{5 - 0}{30 - 0} = 0.1667[/tex]

Probability that you miss both friends:

Missing the first friend and the second friend are independent events. So we multiply these probabilities.

[tex]p = P_{1}*P_{2} = 0.6667*0.1667 = 0.1111[/tex]

11.11% probability that you have missed both friends in the cafeteria