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Sindrei [870]
3 years ago
7

Christine buys 7 hamburgers and 3 sodas for $27.95. Laura buys 5 hamburgers and 4 sodas for $23.40. How much does a hamburger co

st?
A. 1 .85
B. $3.20
C. $6.80
D. $6.55
E. $3.50
Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0
7h+3s=27.95 subtract 7h from both sides

3s=27.95-7h  divide both sides by 3

s=(27.95-7h)/3

Then we are told:

5h+4s=23.4,  using s found above makes this equation become:

5h+4(27.95-7h)/3=23.4  multiply both sides by 3

15h+4(27.95-7h=70.2  perform indicated multiplication on left side

15h+111.8-28h=70.2 combine like terms on left side

-13h+111.8=70.2 subtract 111.8 from both sides

-13h=-41.6  divide both sides by -13

h=$3.20
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2. CHEMISTRY How many liters of 15% acid and
Wewaii [24]

Answer:  

<h3>         26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid</h3>

Step-by-step explanation:

Concentration            Amount of             Amount

of Solution                   Solution (L)             of Acid

    15%                                x                         0.15x

    33%                               y                         0.33y

    21%                              40                      0.21•40      

       

x + y = 40    ⇒  x = 40 - y

0.15x + 0.33y = 0.21•40

0.15(40 - y) + 0.33y = 0.21•40

6 - 0.15y + 0.33y = 8.4

  0.18y = 2.4

        y = 13¹/₃

x = 40 -  13¹/₃ = 26²/₃

8 0
3 years ago
1.) Find all the factors of 54.
jonny [76]

QUESTION 1.

The factors of 54  are all natural numbers that can divide 54 exactly.

The factors of 54 are: {1,2,3,6,9,18,27,54}

QUESTION 2

The prime factors of 54 are factors of 54 that are prime numbers.

The prime factors of 54 are {2,3}.

Product of prime factors of 54 is 2\times 3^3

QUESTION 3

All the factors of 60 are all positive integers that divide exactly into 60.

The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

QUESTION 4

The prime factors of 60 are factors of 60 that are prime numbers.

The prime factors of 60 are {2,3,5}

The prime factorization of 60 is 2^2\times 3\times 5.

QUESTION 5

The factors of 30 are {1,2,3,5,6,10,15,30}

The different ways she can put the beads into the boxes are

1\times 30,

All 30 beads into one box or 1 bead in 30 boxes.

2\times 15,

2 beads each into 15 boxes or 15 beads each into 2 boxes

3\times 10,

3 beads each into 10 boxes or 10 beads each into 3 boxes

5\times 6,

6 beads each into 5 boxes or 5 beads each into 6 boxes

5 0
3 years ago
Is 3/6 greater than 0/6
tekilochka [14]
Yes 3/6 is greater than 0/6.
0/6 is equal to 0
7 0
3 years ago
Which of the following options is not viable in order to solve the following systems of equations?
Anit [1.1K]

Answer:

I think B is the correct choice.

6 0
3 years ago
Katie walked ⅚ mile on Saturday. It took her 10 mins to walk ⅙ mile. She took 1 minute breaks in between each ⅙ mile. How long d
Gennadij [26K]

Answer:

it took her 54 mins to finish her walk.

Step-by-step explanation:

Given;

total distance walked by Katie, d = ⁵/₆

time taken to walk ¹/₆ mile = 10 mins

break time = 1 min

There are five ¹/₆ mile in the total distance which is ⁵/₆ miles.

Time for the first  ¹/₆ mile  = 10 mins +

                    break time = 1 min

Time for the second  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the third  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the fourth  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the fifth  ¹/₆ mile  = 10 mins

Total time = 5 (10 mins)  + 4 (1 min)

                 = 50 mins + 4mins

                = 54 mins

Therefore, it took her 54 mins to finish her walk.

                   

3 0
3 years ago
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