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3 years ago

198.9 grams ~ _____ milliliters

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

Answer:

7.015991031771544 or 7.0 ounces

mili-

Step-by-step explanation:

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The wholesale price for a of shoes is $7.50. A certain department store marks up the wholesale price by 50%. Find the price of t

morpeh [17]

Answer:

$11.25

Step-by-step explanation:

1.5×7.5=11.25

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3 years ago

What is the area of the parallelogram?

Inessa [10]

Answer:

70 cm²

Step-by-step explanation:

The area of the parallelogram is:

14 × 5

= 70 cm²

Hope it helps!

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3 years ago

Sam can paddle a canoe in still water at a speed of 55 meters per minute. If he paddles upstream 135 meters in 3 minutes, what i

choli [55]

According to the 55 m/min speed, in 3 minutes, he should have traveled 165 m.
Since he only went 135 m, that means the water moved against him for 30 m. That also happened in 3 min so the water is moving against him at 10m/min.

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4 years ago

Express as a complex number in a+bi form: 2-10i/-3-7i

pochemuha

$\large\begin{array}{l} \mathsf{z=\dfrac{2-10i}{-3-7i}}\\\\\\ \textsf{Multiply and divide by the denominator's conjugate }\mathsf{(-3+7i):}\\\\ \mathsf{z=\dfrac{2-10i}{-3-7i}\cdot \dfrac{-3+7i}{-3+7i}}\\\\ \mathsf{z=\dfrac{(2-10i)\cdot (-3+7i)}{(-3-7i)\cdot (-3+7i)}} \end{array}$

$\large\begin{array}{l} \textsf{Multiply brackets out:}\\\\ \mathsf{z=\dfrac{(2-10i)\cdot (-3)+(2-10i)\cdot 7i}{(-3-7i)\cdot (-3)+(-3-7i)\cdot 7i}}\\\\ \mathsf{z=\dfrac{-6+30i+14i-70i^2}{9+\,\diagup\!\!\!\!\!\! 21i-\diagup\!\!\!\!\!\! 21i-49i^2}}\qquad\quad\textsf{(but }\mathsf{i^2=-1}\textsf{)}\\\\ \mathsf{z=\dfrac{-6+30i+14i-70\cdot (-1)}{9-49\cdot (-1)}}\\\\ \mathsf{z=\dfrac{-6+44i+70}{9+49}} \end{array}$

$\large\begin{array}{l} \mathsf{z=\dfrac{-6+70+44i}{58}}\\\\ \mathsf{z=\dfrac{64+44i}{58}}\\\\ \mathsf{z=\dfrac{\diagup\!\!\!\! 2\cdot (32+22i)}{\diagup\!\!\!\! 2\cdot 29}}\\\\ \mathsf{z=\dfrac{32+22i}{29}}\\\\\\ \textsf{Split into two fractions:}\\\\ \mathsf{z=\dfrac{32}{29}+\dfrac{22}{29}\,i} \end{array}$

$\large\begin{array}{l} \therefore~~\boxed{\begin{array}{c} \mathsf{\dfrac{2-10i}{-3-7i}=\dfrac{32}{29}+\dfrac{22}{29}\,i} \end{array}}\qquad\checkmark\\\\\\ \textsf{which already is in }\mathsf{a+bi}\textsf{ form:}\\\\ \mathsf{a=\dfrac{32}{29}}\textsf{ and }\mathsf{b=\dfrac{22}{9}\,\cdot} \end{array}$

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4 0

3 years ago

you want new picture frames that cost $12 each shipping is a $8 per order if you buy 15 frames what is the cost of the oder

yaroslaw [1]

Answer:

it would be $300 because it is $12 per frame so u would multiply 12*15 and get 180 then with $8 shipping u multiply 8*15 and get $120 then add 120+180 to get $300

Step-by-step explanation:

hope this helped:)

5 0

3 years ago