Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.

Answer:

41.67 dollars

Step-by-step explanation:

because 250/6= 41.6666666667

that rounded is 41.67 dollars

Answer:

Where is the rest of the question?

Step-by-step explanation:

40x +20

Answer:

34%

Step-by-step explanation:

35 - 23 = 12, so the guess is off by 12/35.

To find the percentage, divide 12 by 35, which is approximately 34%.

Answer:

84 cars

Step-by-step explanation:

Given that 3/4 of the cars in a parking garage are black, let the number of cars in the garage be T, then

number of black cars = 3T/4, other = T - 3T/4 = T/4

If 4/7 of the remaining cars are blue then

the number of blue cars = 4/7 * T/4 = T/7

Remaining cars = T/4 - T/7

= (7T-4T)/28

=3T/28

Given that the remaining cars are sliver and the number of silver cars is 9 then

3T/28 = 9

Cross multiply

3T = 28 * 9

Divide both sides by 3

T = 28 * 9 / 3

= 28 * 3

= 84 Car

Answer

4, 7, 5, 10, 13, .......

Step-by-step explanation:

the only numbers that are impossible to get are the non-multiples of 3 and 8

and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to

Answer:

Step-by-step explanation:

Answer:

$81 for 1 month

$972 for 1 year

Step-by-step explanation:

Answer:

$80 for one month and $960 over the course of one year

Step-by-step explanation:

240 / 3 = 80

12 x 80 = 960

the answer is the third option

Answer:

2 or [tex] \log_{12} 144 [/tex]

Step-by-step explanation:

I assume 12 is the base.

[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]

[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]

[tex] = \log_{12} (18 \times 8) [/tex]

[tex] = \log_{12} 144 [/tex]

[tex] = \log_{12} 12^2 [/tex]

[tex] = 2\log_{12} 12 [/tex]

[tex] = 2 [/tex]

The entire expression simplifies to 2, but if you need the simplest log expression, then you can use

[tex] \log_{12} 144 [/tex]

Answer:

Step-by-step explanation:

1. 8=2x+4

8-4=2x

4=2x

x=2

2. 2x+3=9

2x=9-3

2x=6

x=3

3. 6y=54

y=54/6

y=9

5. 3= x/2

x=6

Answer:

8=2x+4

4=2x

2=x

2x+3=9

2x=6

x=3

6y=54

I'm not sure about question #4

3=x/2

6=x

Answer:

Step-by-step explanation:

we will calculate first the sales tax

706.95*(9.75/100)=68.93

706.95+68.93= $775.88

Answer:

last answer

Step-by-step explanation:

Answer:

2b=11+19

2b=30

b=15

heyyyyyyyy guys

2b-19 = 11

+19 on each side

2b = 30

÷2 on each side so b is by itself

b=15

hope that helped^^

Answer:

23 = 1

46 = 2

92 = 4

138 = 6

Step-by-step explanation:

hope this helps

Answer:i believe its 3 correct me if im wrong

Step-by-step explanation:

Answer:

either 6/10 or 7/10

Step-by-step explanation:

Answer:

(a) [tex]P(x) = 1342.7x + 64792[/tex]

(b) [tex]P(60) = 145354[/tex]

(c) [tex]P(x) = 64792 *1.0175^x[/tex]

(d) [tex]P(60) = 183491[/tex]

(e) The exponential model is more realistic

Step-by-step explanation:

Given

[tex]1990 ==> P_0 =64792[/tex]

[tex]2010 ==> P_{20} =91646[/tex]

Solving (a): The linear model of the population growth

First, we calculate the slope of the function.

[tex]m = \frac{P_{20} - P_0}{20 - 0}[/tex]

[tex]m = \frac{91646 - 64792}{20 - 0}[/tex]

[tex]m = \frac{26854}{20}[/tex]

[tex]m = 1342.7[/tex]

The linear equation is then calculated using:

[tex]P(x) - P_0 = m(x - x_0)[/tex]

[tex]P(x) - 64792 = 1342.7(x - 0)[/tex]

[tex]P(x) - 64792 = 1342.7(x)[/tex]

[tex]P(x) - 64792 = 1342.7x[/tex]

Make P(x) the subject

[tex]P(x) = 1342.7x + 64792[/tex]

Solving (b): The population in 2050

First, calculate x:

[tex]x = 2050 - 1990[/tex]

[tex]x = 60[/tex]

Substitute 60 for x in [tex]P(x) = 1342.7x + 64792[/tex]

[tex]P(60) = 1342.7 * 60 + 64792[/tex]

[tex]P(60) = 80562 + 64792[/tex]

[tex]P(60) = 145354[/tex]

The population in 2050 is 145354

Solving (c): The exponential model of the population growth

An exponential model is:

[tex]y = ab^x[/tex]

In this case, it is:

[tex]P(x) = P_0 * b^x[/tex]

For x = 20, we have:

[tex]P(20) = P_0 * b^{20[/tex]

Substitute values for P(20) and P0

[tex]91646 = 64792 * b^{20[/tex]

Divide both sides by 64792

[tex]\frac{91646 }{64792} = \frac{64792 * b^{20}}{64792}[/tex]

[tex]\frac{91646 }{64792} = b^{20}[/tex]

[tex]1.41446474873 = b^{20}[/tex]

Take the 20th root of both sides

[tex]\sqrt[20]{1.41446474873} = b[/tex]

[tex]b = \sqrt[20]{1.41446474873}[/tex]

[tex]b = 1.0175[/tex]

So, the model is:

[tex]P(x) = P_0 * b^x[/tex]

[tex]P(x) = 64792 *1.0175^x[/tex]

Solving (d): The population in 2050

First, calculate x:

[tex]x = 2050 - 1990[/tex]

[tex]x = 60[/tex]

Substitute 60 for x in [tex]P(x) = 64792 *1.0175^x[/tex]

[tex]P(60) = 64792 *1.0175^{60[/tex]

[tex]P(60) = 64792 *2.832[/tex]

[tex]P(60) = 183490.944[/tex]

[tex]P(60) = 183491[/tex] ---- approximated

(e) The most realistic model

The exponential model is more realistic. This is so because:

The linear model grows at a constant linear rate which means that, every year a certain amount of individuals is added to the society. However, this is not always so because it is almost impossible to for growth rate to be constant

A curve in the exponential model shows that the addition of individuals in the society every year is not always constant.

Answer:

you have it marked correctly-A.1,2

Step-by-step explanation:

they are the same only flipped around

Answer:

A . 1 and 2

Step-by-step explanation:

count the squares

Answer:

A. V13

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It is just like 4/48.

Answer: b

Step-by-step explanation: b because you can multiply which 48 times 4

Answer:10

Step-by-step explanation:

12 x 30 to see how many bottles per hour

360 x 8 to see how many it makes in a day

Divide 28,000 by 2,800 to see how many days it would take.

Step-by-step explanation:

first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.

Answer:

1+Q

Step-by-step explanation:

Answer:

1 + q

Step-by-step explanation:

since sum means to add, and they give the values of 1 and q, we just need to plug it in.

Answer:

5xy + 11x + 3

Step-by-step explanation:

We have the expression 2x + 5xy + 9x + 3 and are asked the solution.

This is different from most standard addition problems, we have an influx of variables, since we do. We follow the like term rules, which is that we can only add the numbers that have the same variable endings, in this case, only 2x and 9x are like terms, so we add them.

2x + 9x

11x

Therefore :

5xy + 11x + 3

Answer:

15.26km

Step-by-step explanation:

Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.

[tex]a^{2} + b^{2} = c^{2}[/tex]

donde a y b son el ancho y el alto del triangulo y el c seria x

[tex]8^{2} + 13^{2} = x^{2}[/tex]

[tex]64 + 169 = x^{2}[/tex]

[tex]233 = x^{2}[/tex]

[tex]15.26 = x[/tex]

Finalmente, podemos ver que la distancia seria 15.26km

Answer:

-70

Step-by-step explanation:

This is an arithmetic progression with a difference of -3

Formula for AP is

Sn = a + (n - 1) d

Where

a is the first term, 2

n is the term we're looking for, 25

d is the arithmetic difference, -3

a25 = 2 + (25 - 1) -3

a25 = 2 + (24) -3

a25 = 2 - 72

a25 = -70

Answer:

77 and 85

Step-by-step explanation:

Since the number 6545 ends in a 5, we can assume that one of the two digit numbers ends in a 5. I tried 55, 65, 75, and 85, and I just divided 6545 by those numbers until I got a two-digit positive integer as my answer,

85 * 77 = 6545

Therefore, the answer is 85 and 77.

I hope this helps!

Answer:

cookie dough fundraiser is a great way to raise money for your school, team, ... selling large or small cookie dough tubs, or pre-portioned cookie dough trays.

Answer:

4 days

Step-by-step explanation:

If we say d = number of days passed, j = tubs sold by jayla and b = tubs sold by brian

j = 4 + d

because when d = 0 j must equal 4, then it goes up by 1 each day

b = 2d

because when d = 0 b must be 0, then it goes up by 2 each day

set them to be equal and solve for d

4 + d = 2d

d = 4

so after 4 days they sell the same amount which is 8

Answer:

f(x) + 3g(x) = 14x + 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x

g(x) = 4x + 5

Step 2: Find

Answer:

136

Step-by-step explanation:

This is an arithmetic sequence

The formula is an = a1 + f × (n-1)

n= the number we are trying to find = 37

a= the number in any given space on the sequence

a1= 460

f= the common difference between the numbers

f= -9 because you subtract 9 from each to get the number

a37= 460-9(37-1)

a37= 460-9(36)

a37= 460- 324

a37= 136

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

Clearly these three terms are making an arithmetic sequence, with :

[tex] \\ [/tex]

Now, we have to find 37th term of sequence = [tex] \tt a_{37}[/tex]

[tex] \\ [/tex]

Now, we know that :

[tex] \large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}[/tex]

[tex] \\ [/tex]

[tex] \tt : \implies a_{37} = a + (37-1)d[/tex]

[tex] \tt : \implies a_{37} = a + 36d[/tex]

[tex] \\ [/tex]

Now, by substituting values of a and d :

[tex] \tt : \implies a_{37} = 460 + 36 \times (-9)[/tex]

[tex] \tt : \implies a_{37} = 460 - 324[/tex]

[tex] \tt : \implies a_{37} = 136[/tex]

[tex] \\ [/tex]

Hence, value of 37th term of given sequence is 136.