2/3 of flour to make 6 muffins what is the unit rate for cups of flour per muffin? for muffins per cup of flour?

Answers

Answer 1

Answer: Amount of sugar 2 cups, amount of flour 3 cups, this means that for every cup of flour you will need 2/3 of cup of sugar. if you have only 2 cups of flour you will need (2/3)*2 cups of sugar = 4/3 0r 1 cup and 1/3 more.

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The outside temperature at midnight us -7° C . By 11 am the temperature has risen by 12°C what is the temperature at 11 am

Answers

Answer:

5°C

Step-by-step explanation:

We need to add 12 onto the -7:

-7 + 12 = 5

Two sisters open saving accounts with $60 each that their grandmother gave them. The first sister adds $20 each month to her account. Her sister adds $40 every two months to her $60. If the sisters continue to make deposits at the same rate, when will they have the same amount of money?

Answers

Answer:

Second month with $100 savings each

Step-by-step explanation:

Opening savings= $100 each

Additional savings

Sister 1 deposit = $20/month

Sister 2 deposit= $40 every 2 months.

First month= opening savings+ additional savings

Sister 1= $60+$20= $80

Sister 2=$60+$0= $60

Second month=

Total month savings+ additional deposit

Sister 1=$80+$20=$100

Sister 2=$60+$40=$100

At the end of the second month, the both have $100 each

Month 1
Sister 1; 60/ Sister 2; 60
Month 2
Sister 1; 80/ Sister 2; 60
Month 3
Sister 1; 100/ Sister 2; 100

On month 3 the should both have $100 in their accounts.

It cost $35 for one adult and two children to attend a show.it cost $60 for two adults and three children to attend the same show.How much dose it cost one adult to attend the show?

Answers

Answer:

$15

Step-by-step explanation:

This question can be solved with the use of a system of equations.

Start by defining the variables that will be used:

Let the cost of 1 adult and 1 child to attend the show be $a and $c respectively.

Form 2 equations and label them:

a +2c= 35 -----(1)

2a +3c= 60 -----(2)

Let's solve by elimination. Since the question is only asking for the cost for an adult to attend the show, we can work to eliminate the c term. This can be done by ensuring that the coefficients of c in both equation has the same numerical value (the sign does not really matter for now). In this case, we can make the coefficient of c to be 6 since it is the lowest common multiple of 2 and 3.

(1) ×3: 3a +6c= 105 -----(3)

(2) ×2: 4a +6c= 120 -----(4)

Since the coefficient of c in both (3) and (4) are +6, we can subtract one equation from the other to eliminate the term c.

(4) -(3):

(4a +6c) -(3a +6c)= 120 -105

Expand:

4a +6c -3a -6c= 15

a= 15

Thus, it costs $15 for one adult to attend the show.

Additional:

Do check out the following for an example on solving a system of equations by the substitution method!