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3 years ago

7

Similar to my last question:

1 answer:

pickupchik [31]3 years ago

6 0

70 × 20%
70 × .20 = .14
so .70 - .14 = $.56

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago

Point A is located at (1,5), and point M is located at (-1, 6). If point M is the midpoint of AB, find the

Step2247 [10]

Answer:

-3, 7

Step-by-step explanation:

because you take how much from the first coordinate to the second and add it too the second

7 0

3 years ago

Which of the following is not a way to represent the solution of the inequality 2(x + 1) greater than or equal to 20?

Goshia [24]

Answer:

option C

A number line with a closed circle on $9$ and shading to the left

Step-by-step explanation:

we have

$2(x+1)\geq 20$

solve for x

$2x+2\geq 20$

Subtract $2$ both sides

$2x+2-2\geq 20-2$

$2x\geq 18$

Divide by $2$ both sides

$x\geq 9$ --------> is equivalent to $9 \leq x$

The solution is the interval--------> [9,∞)

All real numbers greater than or equal to $9$

A number line with a closed circle on $9$ and shading to the right

3 0

3 years ago

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Look at this coordinate plane.

deff fn [24]

It may be B . Or it may even be wrong

7 0

3 years ago

Help me PLEASEEE: ⅗ X ⅓ =

Vinvika [58]

Answer:0.2

Step-by-step explanation:

7 0

2 years ago

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