3(-2) as repeated addition please!

You have two recipes that together use a pound of butter. One recipe takes a 1/4 pound more than the other one. How much butter

ELEN [110]

Answer:

First recipe needs = 3/8

Second recipe needs = 5/8

Step-by-step explanation:

Given:

Two recipes needs butter = 1 pound

One recipe needs 1/4 pound more

Find:

Each recipe needs butter

Computation:

Assume;

First recipe needs = x

Second recipe needs = x + (1/4)

Two recipes needs butter = First recipe needs + Second recipe needs

x + x + (1/4) = 1

2 x = 1 - (1/4)

2 x = 3/4

x = 3/8 pound

First recipe needs = 3/8

Second recipe needs = x + (1/4) = (3/8) + (1/4) = 5/8

Second recipe needs = 5/8

3 0

3 years ago

Which is not a common factor of 15, 45,and 90

Naddika [18.5K]

Answer:

6/90/45/30/18/9/2

Step-by-step explanation:

15: 3/5/15/1

45: 45/1/9/5/15/3/

90: 90/1/9/10/45/2/15/6/3/30/5/18

7 0

3 years ago

One-half of a number p is at least 100.

TEA [102]

Answer:

200

Step-by-step explanation:

half of 200 is 100.

x / 2 = 100

200 / 2 = 100

8 0

4 years ago

George has 36 cupcakes he has eight friends coming over to the party if he shares the cupcakes evenly with himself and all the g

Bogdan [553]

Answer:

Each person would get <u>4 cup</u> cakes if all 8 friends attend the party.

Each person would get <u>12 cup</u> cakes when 6 friends not attended the party.

Step-by-step explanation:

Given:

Total Number of cup cakes = 36

Number of friends coming to party = 8

Total number of people cakes need to distributed including George = 9

We need to find the number of cup cakes each person would get;

Solution:

Now we can say that;

number of cup cakes each person would get is equal to Total Number of cup cakes divided by Total number of people cakes need to distributed including George.

framing in equation form we get;

number of cup cakes each person would get = $\frac{36}{9}=4$

Hence Each person would get <u>4 cup</u> cakes if all 8 friends attend the party.

Now Given:

Number of friends not attended the party = 6

So we can say that;

Total number of people cakes need to distributed including George = 9 - 6 = 3

So we can say that;

number of cup cakes each person would get = $\frac{36}{3} =12$

Hence Each person would get <u>12 cup</u> cakes when 6 friends not attended the party.

3 0

3 years ago

If Mia Wong invests $73,000 at 7 1/2% annual simple interest on March 1, when will her investment be worth $75,760?

riadik2000 [5.3K]

<h3>Answer: September 1st</h3>

=========================================================

Work Shown::

1/2 = 0.5

7 & 1/2 = 7 + 1/2 = 7 + 0.5 = 7.5

7.5% = (7.5)/100 = 0.075

She invests P = 73000 dollars at an interest rate of r = 0.075

Let x be some unknown number of years. So t = x.

She wants her investment to be worth $75,760, so this means she wants to earn 75760-73000 = 2760 dollars in simple interest. Let i = 2760

--------------------------------

Apply the simple interest formula to help solve for x

i = P*r*t

2760 = 73000*0.075*x

2760 = 5475x

5475x = 2760

x = 2760/5475

x = 0.5041095890411

This represents the approximate number of years that must elapse for her to get this amount of simple interest.

Let's multiply by 365, since there are 365 days in a year (ignoring leap years) to get

365*0.5041095890411 = 184.000000000001

Due to rounding error, that 1 at the very end likely shouldn't be there. So it looks like exactly 184 days must elapse so that she earns that amount of money.

If she started on March 1, then adding on 184 days leads to September 1.

I recommend looking at a "Day of Year Calendar". Note on this calendar there are numbers for each day. In this case, march 1st occurs on the 60th day of the year while September 1st occurs on the 244th day of the year. Then note how 60+184 = 244. The day of year calendar is a quick way to scroll forward or backward in time on any day. Many online calculators provide an even faster method. The slowest method is to count the number of days on a traditional calendar, but I don't recommend this.

5 0

3 years ago