-6/20 + 1.5 kdjbanskkcjdjxjxjdjhelp plz

Lin has picked 1 ½ cups of raspberries, which is enough for ¾ of a cake. How many cups does she need for the whole cake?

Llana [10]

Okay. So, based off of that, if you divide 1 1/2 (3/2) by 3/4, 3/2 * 4/3 is 12/6 or 2. 1/2 cups of raspberries is needed for each fourth of the cake. 1/2 * 4 = 2. Lin will need 2 cups of raspberries for the whole cake.

6 0

4 years ago

6) The sum of the digits of a certain two-digit number is 8. Reversing its digits decreases the

valentina_108 [34]

Answer:

The number is 62

Step-by-step explanation:

Alright, let's say the first digit of the number is x and the second digit is y, making the number xy, then we are told that:

x+y = 8

As the sum of the two digits is equal to 8.

On top of this, we are also told that reversing the digits (xy becomes yx) decreases the original number (xy) by 36. Writing this into an equation:

yx = xy - 36

From the first equation, we find the following possibilities for number combinations:

[0,8] , [1,7] , [2,6] , [3,5] , [4,4] , [5,3] , [6,2] , [7,1] , [8,0]

Then, from the second equation we know that xy needs to be bigger than yx, since it decreases if you switch the numbers. This leaves out the first 5 possible combinations. Checking the others we find that:

[5,3] : 35 ≠ 53 - 36

[6,2] : 26 = 62 - 36 ←

[7,1] : 17 ≠ 71 - 36

[8,0] : 08 ≠ 80 - 36

There you go, the number has been found.

4 0

2 years ago

You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8

Firlakuza [10]

Answer:

Margin of error = 4.21 ounces

Step-by-step explanation:

According to the Question,

Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces

Therefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Thus, Margin of error = $Z_{critical}$ × σ / √n ( $Z_{critical}$ at α=.010 is 1.645)

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

8 0

3 years ago

Find an equation of the line is the perpendicular to 30X-5Y=5 and passes through the point (0,-3).

timurjin [86]

Answer:

$y = (\frac{-1}{6})x - 3$

Step-by-step explanation:

Given line = 30x - 5y = 5 or y = 6x + 1

so, the slope of the given line is 6.

now, let the line which is perpendicular to the given line be y = mx + c

where,

m = slope of the line

c = constant

As we know, if two lines are perpendicular to each other, the value of product of there slopes are -1.

so, slope of given line × slope of perpendicular line = -1

⇒ 6(m) = -1

⇒ m = $\frac{-1}{6}$

By substitutiong the value of m in the equation, we get;

⇒ $y = (\frac{-1}{6})x + c$

For c,

as the point (0,-3) passes through the line, we get;

⇒ $-3 = (\frac{-1}{6})(0) + c$

⇒ $c = -3$

Hence,

The line which is perpendicular to the given line and passes through (0,-3) is $y = (\frac{-1}{6})x - 3$ .

5 0

3 years ago

Read 2 more answers

Ali writes the expression "half of the sum of $9$ and a number." Write an algebraic expression that is equivalent to Ali's expre

HACTEHA [7]

Answer:

1 ÷ 2(9 + x)

4.5 + 0.5x

Step-by-step explanation:

Given that

We write the expression i.e. half of the sum of $9 and a number

Here we need to write the two expression that is different from each other

So,

Let us assume the number be x.

Now The first equation depend on the information given will be:

= 1 ÷ 2(9 + x)

And, The second equation is

= (9 + x) ÷ 2

= 4.5 + 0.5x

8 0

3 years ago