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NNADVOKAT [17]
4 years ago
8

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Mathematics
1 answer:
pogonyaev4 years ago
5 0

Answer:

The small balloon bouquet uses  7 balloons and the large one uses

18 balloons.

Step-by-step explanation:

Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:

6S + 6L= 150

S+L= 25   ----> 1st equation

For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:

6S + 1L= 60

1L= 60- 6S   ----> 2nd equation

We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:

S+L = 25

S+ (60-6S)= 25

-5S= 25-60

-5S= -35

S= -35/-5

S=7

Then we can find L by substitute S value to 1st or 2nd equation.

S+L=25

7+L=25

L=18

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alexandr1967 [171]

Answer:

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3 years ago
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URGENT: I need to solve this problem: 4 - (-6), but that's not all, I'm not really good at math and I need step by step answers
Rama09 [41]

Answer:

10  

3.59

6 7/12

Step-by-step explanation:

4 - (-6)

= 4+ 6 ( because when we multiply the negative sign with the negative sign we get a positive sign or a plus sign)

= 10  

-2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2

= -2.5 + 6.1 -10.3 +7.79 -4 + 6.5 [ (-*-=+) ( converting 6 1/2 into decimal = 6.5)]

= 6.1+7.79+ 6.5 -2.5 -10.3-4   { adding the + numbers and - numbers separately}

= 20.39 - 16.8        { subtracting the totals of + and - numbers}

= 3.59

8 5/6 + (-2 1/4)

=  53/6   - 9/4   { Converting into improper fractions}

=  53( 2) - 9(3)/12          { Taking LCM = 12}

= 106-27/12

= 79/12

= 6 7/12

{ Converting into improper fractions and vice versa}

  • we multiply the denominator with the whole number and add it to the numerator to get the improper fraction.( 8 5/6= 53/6)
  • we divide the numerator with the denominator the answer gives the whole number and the remainder gives the numerator of the proper fraction.  ( 79/12 = 6 7/12)

{ Taking LCM = 12}

Factors of 6 are 3 and <u>2</u>

Factors of 4 are 2 and <u>2</u>

Least Common Multiple is taking the common factors and multiplying it with the rest . 2 is common in both . It will be taken once and then multiplied with the other 2 and 3 so we get

LCM = 2*2*3= 12

3 0
4 years ago
I have a favor... please help me i am stuck!
liubo4ka [24]

Answer:

A. 5:3

Step-by-step explanation:

There are 10 blue and 6 red so that's 10:6

Reduce it to get 5:3

Hope this helps

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Answer:

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Step-by-step explanation:

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Alekssandra [29.7K]

Answer:

\large \boxed{6(2n-3)}

Step-by-step explanation:

12n-18

Factor out 6 from each term.

6(2n)+6(-3)

Take 6 as a common factor.

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