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Lyrx [107]
3 years ago
8

Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a tot

al of 11 items. How many bags of snack mix did they buy?
Mathematics
1 answer:
Tresset [83]3 years ago
3 0

Answer:

6 bags of snack mix

Step-by-step explanation:

x bags of snack mix

y bottles of water

The equations in the question is given as;

20.00 = 2.50x + 1.00y  (i)

11 = x + y (ii)

From eqn (ii);

11 - y = x

substitute the value of x in eqn (i);

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00  - 27.5  = - 1.50 y

- 7.5 = - 1.50 y

y = - 7.5 / (- 1.5) = 5

Since we are interested in the value of x. Substitute the value of y in eqn (ii);

11 = x + 5

x = 11 - 5 = 6

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Three people invest in a treasure dive, each investing the amount listed below. The dive results in 40 gold coins. Apportion tho
garri49 [273]

Answer:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

Step-by-step explanation:

We know that the dive results in 40 gold coins.

We know that:

Alice: $7,600 Ben: $5,900 Carlos: $1,400.

So they have $ 14900 in total.

Now we will divide that money by 40.

x=\frac{14900}{40}\\\\x=372.5

So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.

A=\frac{7600}{372.5}=20.4\\\\B=\frac{5900}{372.5}=15.8\\\\C=\frac{1400}{372.5}=3.75\\

We conclude that:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

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Twice the quotient of a number and -24 is -8 Find the number.<br><br> The number is ________.
Klio2033 [76]

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2 years ago
What is the midpoint of the line segment with endpoints ( 3.5,2.2) and (1.5,-4.8)?
Fantom [35]

Answer:

Option A) (2.5,-1.3) is correct

The midpoint of the given line segment is M=(2.5,-1.3)

Step-by-step explanation:

Given that the line segment with end points (3.5, 2.2) and (1.5, -4.8)

To find the mid point of these endpoints midpoint formula is M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

Let (x_1,y_1) be the point (3.5, 2.2) and (x_2, y_2) be the point (1.5, -4.8)

substituting the points in the formula

M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

M=\left(\frac{3.5+1.5}{2}, \frac{2.2-4.8}{2}\right)

=\left(\frac{5}{2}, \frac{-2.6}{2}\right)

=\left(2.5,-1.3\right)

Therefore M=(2.5,-1.3)

The midpoint of the given line segment is M=(2.5,-1.3)

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Answer:

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Step-by-step explanation:

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