The tire franks bike moves 75 inches in at one rotation how many rotations will the tire have made after frank rides 50 feet

A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost

Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

Solution:

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

A baker buys 19 apples of two different varieties to make pies

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

The total cost of the apples is $5.10

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

$x \times 0.30 + y \times 0.25 = 5.10$

0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

Substitute y = 12 in eqn 3

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

6 0

3 years ago

Round 7,883 to nearest thousand

Stels [109]

Answer:

8,000

Step-by-step explanation:

the nearest thousand is 8,000 as it is past 7,500.

6 0

3 years ago

Read 2 more answers

The function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, find the

Anettt [7]

Answer:

$y = - 2 e^{x} - 3$

Step-by-step explanation:

We have to vertically stretch the function $y = e^{x}$ by a factor of 2.

Then the function will become $y = 2e^{x}$ .

Then it is reflected across the x-axis.

So, the new function will be $y = - 2e^{x}$ .

Now, if the function is shifted down 3 units then the final function will become $y = - 2 e^{x} - 3$ (Answer)

6 0

3 years ago

Stock A ‘s returns have a standard deviation of 0.5, and stock B’s returns have standard deviation of 0.6.The correlation coeffi

galben [10]

Answer:

The variance of the profile is 0.2179.

Step-by-step explanation:

We are given the following in the question:

$\sigma_A = 0.5\\\sigma_B = 0.6\\\rho_{A,B} = 0.5\\w_A = 70\% = 0.7\\w_B = 30\% = 0.3$

Variance of portfolio is given by:

$w_A^2\sigma_A^2 +w_B^2\sigma_B^2 + 2w_Aw_BCov_{A,B}$

$Cov_{A,B} = \rho_{A,B} \times \sigma_A \times \sigma_B \\=0.5\times 0.5 \times 0.6\\=0.15$

Putting values, we get,

$w_A^2\sigma_A^2 +w_B^2\sigma_B^2 + 2w_Aw_BCov_{A,B}\\=(0.7)^2(0.5)^2 + (.3)^2(0.6)^2 + 2(0.7)(0.3)(0.15)\\=0.2179$

Thus, the variance of the profile is 0.2179.

4 0

3 years ago

Natalie started babysitting to earn money. The first week, she earned $10. Each additional week, Natalie earned $5 more than the

Evgesh-ka [11]

Answer:

x value: start with 0 and go up by 1

y value:start with 10 and each week is 5 more than previous week

Step-by-step explanation:

5 0

3 years ago