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notsponge [240]
4 years ago
13

PLEASE HELP WILL NAME BRAINLIEST AND 5 STARS AND THANKS James uses of a cup of sugar in his cookies, and Jade uses of a cup of s

ugar in her cookies. Noel takes the sum of the two amounts of sugar and divides it into two equal portions, planning to use only one portion of it in his cookies. How much sugar does Noel use in his cookies?
A.
of a cup
B.
of a cup
C.
of a cup
D.
of a cup
Mathematics
2 answers:
Elina [12.6K]4 years ago
7 0
Not sure if I'm understanding this right but, if you take the 1 cup that James has, and add that with the 1 cup that jade has, then you divide the now 2 cups into two equal parts then... You would have 1 cup?
Vlada [557]4 years ago
5 0

Answer:

A 5/8 of a cup 100 percent.

I just did the assignment

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Find five consecutive integers such that: "the sum of the first and 4 times the third is equal to 60 less than 3 times the sum o
Monica [59]

Consecutive integers are integers that come one after another in order. For example, 2, 3, and 4 are all consecutive integers, as well as 100, 101, and 102. In general, if we have some integer n, the consecutive integers following it will be n + 1, n + 2, n + 3, etc. Here, we have five. If we

  • Call the first integer n,
  • Then the second integer will be n + 1,
  • The third will be n + 2,
  • The fourth will be n + 3,
  • And the fifth will be n + 4.

Now, let's break down the equation in English. We'll use #1, #2, #3, #4, and #5 as stand-ins for the five integers just so we can get things set up, then we'll replace them with the expressions we came up with in the first part. Starting from the beginning of the statement, let's translate words to symbols:

  • "The sum of the first and 4 times the third" → #1 + 4 × #3
  • "is equal to" → = (maybe obvious, but still!)
  • "60 less than 3 times the sum of the second, fourth, and fifth" → 3 × (#2 + #4 + #5) - 60

Putting that all together, we get the equation

#1 + 4 × #3 = 3 × (#2 + #4 + #5) - 60.

Replacing our stand-ins for the expressions we came up with, it becomes

n + 4(n + 2) = 3[(n + 1) + (n + 3) + (n + 4)] - 60

We can now start to simplify our equation to find n (the first integer) and the rest will follow easily from that. I'll start by focusing on the left side. We can distribute and combine like terms like so:

n + 4(n+2) = n + 4n + 8 = 5n + 8

Dealing with the right, we can get rid of some redundant parentheses and carry out the same process:

3[(n + 1) + (n + 3) + (n + 4)] - 60 = 3(n + 1 + n + 3 + n + 4) - 60

= 3(3n + 8) - 60 = 9n + 24 - 60 = 9n - 36

Our simplified equation now becomes

5n + 8 = 9n - 36.

Subtracting 5n from either side:

8 = 4n - 36

Adding 36 to either side:

44 = 4n

And dividing either side by 4:

11 = n.

We now know that our first integer is 11, which means that our 5 consecutive integers are 11, 12, 13, 14, and 15.

7 0
3 years ago
adam hikes from bridgetown to lakeville. Gina starts at the same time, and hikes from Lakeville to Bridgetown on the same road.
IgorC [24]

Answer:

45

Step-by-step explanation:

6 0
3 years ago
To determine what percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers. He then collected
Kipish [7]

Answer:

a)There are 14 teachers in Ryan's sample, and 362 teachers in the population.

Step-by-step explanation:

<u> Population:-</u>

<em>The totality of observations with which we are concerned, whether this number be finite or infinite  is called population.</em>

<em>Given data population is  376 teachers at a university were female'</em>

<u><em>Sample:-</em></u>

A sample is a subset of a Population

sample of given data = 14teachers

The percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers.

<em />p = \frac{14}{376} = 0.0372<em> = 3.72%</em>

6 0
4 years ago
At a wedding reception, the caterer served fishing chicken. The fish dinner cost $12 per person in the chicken cost $9 per perso
maw [93]

Answer:

80 persons haf fish and 152 persons had chicken

Step-by-step explanation:

Given data

let the number of persons that had fish be x and chicken be y

so

12x+9y=2544------------------1

x+y= 232------------------------2

from 2

x= 232-y

substitute the value of x in 1

12(232-y)+9y=2544

2784-12y+9y=2544

2784-3y=2544

3y= 2784-2544

3y=240

y= 240/3

y=80

put y= 80 in 2

x+80= 232

x= 232-80

x=152

Hence 80 persons haf fish and 152 persons had chicken

5 0
3 years ago
Which shows all the exact solutions of sin^2 x + 3cos x - 1 = 2?
Zarrin [17]

Answer:

x = 2k\pi is the solution of this equation.

Step-by-step explanation:

This question is related to trigonometric equations.

The given equation is,

sin^{2} x + 3cos x - 1 = 2

We have to find the solutions of this equation.

Put sin^{2}x  = 1 - cos^{2}x

1 - cos^{2}x + 3cosx - 1 = 2

cos^{2}x -3cosx+2 = 0

For this equation only cosx = 1 is possible solution.

Cosx = 1 happens when x is a multiple of 2\pi

So x = 2k\pi is the solution of this equation.

3 0
3 years ago
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