A cookie recipe called for 2 4⁄6 cups of sugar for every 2⁄3 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups of sugar would you need?

Answers

Answer 1
Answer: Turn 2 4/6 into an improper fraction
16/6
To turn 2/3 into 1 cup, multiply my 3/2 for both the flour and sugar.
1 cup flour = 3/2(16/6)
1=48/12
Reduce
1 cup flour = 4 cups sugar.

Hope it helps! I can provide image if needed

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Jimmy purchased a government bond which has maturity value of $2500 after 9 months at 11 % simple interest. How much should he pay for this bond?

Answers

Answer: he should pay $23095 for this bond.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I represents interest paid on the bond purchased.

P represents the principal or amount of bond purchased.

R represents interest rate

T represents the duration of the bond in years.

From the given information,

R = 11%

T = 9 months = 9/12 = 0.75

I = 25000 - P

Therefore

25000 - P = (P × 11 × 0.75)/100

25000 - P = 8.25P/100 = 0.0825P

P + 0.0825P = 25000

1.0825P = 25000

P = 25000/1.0825

P = $23095

Answer:$2706.25

Step-by-step explanation:

Principal(t)=$2500

Time(t)=9months=9/12=0.75year

Rate(r)=11%

Simple interest(si)=?

Si=(pxrxt)/100

Si=(2500x11x0.75)/100

Si=20625/100

Si=$206.25

Total amount=p + si

Total amount=2500+206.25

Total amount=$2706.25

A normal population has the mean of 10 and the variance of 25 . A random sample of size n-28 is selected. (a) Find the standard deviation of the sample mean. Round your answer to two decimal places (e.g. 98.76)
(b) How large must the sample be if you want to halve the standard deviation of the sample mean?

Answers

Answer:

Step-by-step explanation:

Given that:

population mean = 10

variance \sigma^2 = 25  ; \sigma =√( 25) = 5

sample size n = 28

The standard deviation of the sample mean:

= {(5)/(√(28))

= 0.95

To halve the standard deviation of the sample mean, the size of how large the sample will be can be computed as follows:

(sd_1)/(sd_2) = ((\sigma)/(√(n)) )/((\sigma)/(√(n)) )

\implies  ((5)/(√(28)) )/((5)/(√(28)) )

= (5)/(√(28)) * (√(28))/(5)

= 2

n = 4 × 28

n = 112

The standard deviation is 0.95 and if the standard deviation is halved then the sample mean is 112.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

A normal population has a mean of 10 and a variance of 25.

A random sample of sizes n-28 is selected.

A.  The standard deviation will be

\sigma = (√(Var(x)))/(n) \n\n\sigma = (√(25))/(√(28)) \n\n\sigma = 0.95

B.  The sample be if you want to halve the standard deviation of the sample mean

\rm (SD_1)/(SD_2) = 2 = (√(n))/(√(28))\n\nn = 4*28 \n\nn= 112

More about the standard deviation link is given below.

brainly.com/question/12402189

I need help with this math problem please (3x+2)(5x-7)

Answers

Answer:

Hey there!

Using the foil method: (3x+2)(5x-7)

15x^2+10x-21x-14

15x^2-11x-14

Let me know if this helps :)


Here’s your answer (3x+2)x(5x-7)

Find the next three numbers 1, 0.6, 0.36, 0.216

Answers

Answer: The answer is everytime you mutiply in by 0.6

Step-by-step explanation:

What is the sum of two solutions of the quadratic equation ax^2+bx+c=0

Answers

if we were to use the quadratic formula, we would get that the roots are

(-b\pm√(b^2-4ac))/(2a)

or that the 2 seperate roots are

(-b+√(b^2-4ac))/(2a) and (-b-√(b^2-4ac))/(2a)

if we sum these, then the √(b^2-4ac) bits will cancel and we wil be left with

(-b-b)/(2a) or (-2b)/(2a) or (-b)/(a)


the sum of the solutions is (-b)/(a)

Try this option:

According to the properties of the quadratic equation the sum of its roots is '-b', in other words x₁+x₂= -b

Answer: -b

Test the following numbers for divisibility by 3, 5, 6 and 11. (Do not divide or factorise.) a) 68 979

Answers

Final answer:

The number 68,979 is divisible by 3 but not by 5, 6, or 11.


Explanation:

To test a number for divisibility by 3, we sum up its individual digits. If the sum is divisible by 3, then the number itself is divisible by 3. For the number 68,979, the sum of its digits is 6 + 8 + 9 + 7 + 9 = 39. Since 39 is divisible by 3, 68,979 is also divisible by 3.

To test a number for divisibility by 5, we simply check if the last digit is either 0 or 5. In the number 68,979, the last digit is 9, which is neither 0 nor 5. Therefore, 68,979 is not divisible by 5.

To test a number for divisibility by 6, we need to check if it is divisible by both 2 and 3. From the previous tests, we already know that 68,979 is divisible by 3, so we now need to check if it is divisible by 2. Since the last digit is 9, which is an odd number, 68,979 is not divisible by 2, and therefore not divisible by 6.

To test a number for divisibility by 11, we take the alternating sum of its digits. In this case, we have 6 - 8 + 9 - 7 + 9 = 9. Since 9 is not divisible by 11, 68,979 is not divisible by 11.


Learn more about divisibility here:

brainly.com/question/34253396