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3 years ago

8

You have a pickle recipe that requires 3 ounces of sugar. You want to make a triple batch of pickles. How much sugar do you need

for the triple batch?

1 answer:

White raven [17]3 years ago

7 0

9 ounces of sugar needed

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After breaking your penny bank, you notice that you have $4.87 in quarters ($0.25), dimes ($0.10), nickels ($0.05), and pennies

ira [324]

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of dimes be 'x'.

Let the number of nickels be ' $\dfrac{3}{2}x$ '.

Let the number of pennies be $\dfrac{3}{2}\times 2x=3x$

Let the number of quarters be '3x-34'.

As we know that

1 quarter = $0.25

1 dime = $0.10

1 nickel = $0.05

1 penny = $0.01

According to question, we get that

$0.10x+0.05\times \dfrac{3x}{2}+0.01\times 3x+0.25(3x-34)=4.87\\\\0.10x+0.075x+0.03x+0.75x-8.5=4.87\\\\\\0.955x=4.87+8.5\\\\0.955x=13.37\\\\x=\dfrac{13.37}{0.955}\\\\x=14$

So, the number of pennies is given by

$3x=3\times 14=42$

Hence, Option 'c' is correct.

3 0

2 years ago

A pre-image and its image under a translation have the same orientation?

Black_prince [1.1K]

Answer:

In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Step-by-step explanation:

In addition, the corresponding segment sides of the pre-image and image are parallel.

8 0

2 years ago

Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.

marin [14]

Answer:

C. hyperbola; $9x^2-25y^2-250y-850=0$

Step-by-step explanation:

The given conic has equation:

$9x^2-25y^2=225$

Divide through by 225.

$\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}$

$\frac{x^2}{25}-\frac{y^2}{9}=1$

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

$\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1$

Multiply through by 225.

$9(x-0)^2-25(y-5)^2=225$

Expand

$9x^2-25(y^2-10y+25)=225$

$9x^2-25y^2+250y-625=225$

Rewrite in general form;

$9x^2-25y^2+250y-625-225=0$

$9x^2-25y^2+250y-850=0$

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3 years ago

Free points help me

geniusboy [140]

The answer is d your welcome

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3 years ago

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What is the GCF of 18 and 39

makkiz [27]

The GCF of 18 and 39 is 3

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3 years ago

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