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hammer [34]
4 years ago
12

rudy and pablo each have a band. rudys band plays songs in sets of 8 and pablos band plays song in sets of 12. after performing

together, both realize that they have played the same number of songs. what is the smallest number of songs each band could have performed? how many sets did rudy and pablo each play?
Mathematics
1 answer:
kipiarov [429]4 years ago
7 0
4 i think i could be wrong
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Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and
kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

x=y+2

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

35x+10y=385

3. Solve the system of two equations:

\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.

Substitute the first equation into the second equation:

35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9

7 0
4 years ago
Read 2 more answers
If 2 (3t - 10) + t = 40 + 4t, what is the value of 3t?
Elenna [48]

Answer: 3t = 60

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45
valentinak56 [21]

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}

Michelle made a mistake in Step 2.

The right hand side of Step 1:  \dfrac45+\dfrac35\neq 1

Rather, the correct sum is:

\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25

5 0
3 years ago
Simplify (b-a)U(c-a)?​
exis [7]

Answer:

Step-by-step explanation:

3 0
2 years ago
10 points if you can answer what percent of 20 <br> Is 0.6
UNO [17]
Dividing 20 by 100 gives us 1%. so 0.2 × 3 = 0.6 so it take 3 0.2s to get to 0.6. meaning 0.6 is 3% of 20.

7 0
3 years ago
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