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3 years ago

A student simplified a fraction to 2/5 by removing the common factors of 2 and 7. What was the original fraction?

Mathematics

1 answer:

deff fn [24]3 years ago

8 0

The original fraction was 14/35

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Here are the endpoints of the segments BC, FG, and JK.<br> B, −67

yulyashka [42]

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[-4 - (-6)]^2 + [4 - 7]^2}\implies BC=\sqrt{(-4+6)^2+(-3)^2} \\\\\\ BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points}$

$F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}$

$JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill$

4 0

1 year ago

Gavin bought snacks for his team's practice. He bought a bag of apples for $2.50 and a 18-pack of juice bottles. The total cost

boyakko [2]

Answer: 87 c

Step-by-step explanation:

To evaluate the cost per juice box, we must first factor out the bag of apples from the equation. So we will disregard the price of the apples from the total price and also disregard the existence of the apples altogether.

Our new subtotal is $15.66 for eighteen juiceboxes. To find the cost for one juicebox, we divide the price & the # of juiceboxes by 18.

15.66÷18=0.87, therefore each juicebox is 87 cents.

3 0

2 years ago

Kaylee has 1 1/2 cups of yogurt to make smoothies. Each smoothie uses 1/2 cup of yogurt. How many smoothies can Kaylee make wi

Orlov [11]

Answer:

3 is the answer .

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What can you conclude about the two triangles? why?

ehidna [41]

How are the two triangles?

3 0

3 years ago

3. The ratio of the number of male and female teachers in a school is 2 : 11. If the

vovikov84 [41]

Answer:

the number of female teachers is 616

Step-by-step explanation:

male 2: 112

Female 11 : x

now you want to find x which is the number of female teachers

multiply 11 with 112 and 2 with x

11 x 112= 2x

divide 2

1 232 = 2x/2

616 = x

Hope that help :)

8 0

3 years ago