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2 years ago

A dog weighs 44 pounds and the veterinaria

Mathematics

1 answer:

Bumek [7]2 years ago

7 0

Both equations are correct. x= 37. plugging in 37 for x gets the right answer for both. 44-(37)=7 and (37)+7=44. Another equation you could use is 44-7=x... which makes x = 37. does that make any more sense than my last response? I hope so.

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Find the difference. (4x 2 - 6x + 8) - (3x 2 - 6x + 2) x2 + 6 7x2 - 12x - 6 x2 + 12x + 6 x2 - 12x - 6

Natasha_Volkova [10]

Answer:

x² + 6

Step-by-step explanation:

Given

(4x² - 6x + 8) - (3x² - 6x + 2) ← distribute by - 1

= 4x² - 6x + 8 - 3x² + 6x - 2 ← collect like terms

= x² + 6

3 0

2 years ago

A coin bank has 250 coins, dimes and quarters, worth $39.25. How many of each type of coin are there?

Brilliant_brown [7]

$x-\ number\ of\ dimes\\y-\ number\ of\ quarters\\\\ \left \{ {{x+y=250\ \ \ | x=250-y} \atop {0.1x+0.25y=39.25\ \ \ \ \ \ \ \ \ \ \ \ \ }} \right. \\\\ substitution\ method\\\\
0.1(250-y)+0.25y=39.25\\\\
25-0.1y+0.25y=39.25\\\\
25+0.15y=39.25\ \ \ \ | subtract\ 25\\\\0.15y=14.25\ \ \ \ | divide\ by\ 0.15\\\\y=95\\\\x=250-95=
155\\\\
There\ are\ 155\ dimes\ and\ 95\ quarters.$

8 0

2 years ago

A jar of quarters and dimes has total value of $20.70. The jar has 10 more quarters than dimes. To find the numbers of quarters

lakkis [162]

There are 62 quarters and 52 dimes in the jar.

Step-by-step explanation:

Given,

Worth of jar coins = $20.70 = 20.70*100 = 2070 cents

1 Quarter = 25 cents

1 Dime = 10 cents

Let,

Number of quarters = x

Number of dimes = y

According to given statement;

25x+10y=2070 Eqn 1

x=y+10 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$25(y+10)+10y=2070\\25y+250+10y=2070\\35y=2070-250\\35y=1820\\$

Dividing both sides by 35

$\frac{35y}{35}=\frac{1820}{35}\\y=52$

Putting y=52 in Eqn 2

$x=52+10\\x=62$

There are 62 quarters and 52 dimes in the jar.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

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