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3 years ago

PLEASE IM IN NEED OF HELP!!!!!

Mathematics

1 answer:

koban [17]3 years ago

6 0

Answer:

8 capsules

Step-by-step explanation:

The 100 mL of solution requires 4 capsules for its preparation. (4 × 150 mg = 600 mg). So, twice as much solution (200 mL) will require twice as many capsules. It will take 8 capsules to make 200 mL of solution.

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57 degrees

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A microscope shows you an image of an object that is 20 times the objects actual size. Therefore, the scale factor of the enlarg

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We just have to multiply 20 by 10mm, which is 200mm. 100mm is equal to one centimeter, so the body length of the insect under the microscope is two centimeters.

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The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the length of the

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A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange. They also need $7.30 for

Aneli [31]

Answer:

A fruit stand has to decide what to charge for their produce.

They need $ 5.30 for 1 apple and 1 orange.

They also need $ 7.30 for 1 apple and 2 oranges.

TO DETERMINE

To put this information into a system of linear equations.

TO find a unique price for an apple and an orange

EVALUATION

Let the price of an apple = x and price of an orange = y

So From the first condition that they need $ 5.30 for 1 apple and 1 orange we get

\sf{x + y = 5.30}x+y=5.30 - - - - Equation 1

Again from second condition that they need $ 7.30 for 1 apple and 2 oranges we get

\sf{x + 2y = 7.30}x+2y=7.30 - - - - Equation 2

So the required Set of linear equations are

x + y = 5.30

x + 2y = 7.30

Equation (2) - Equation (1) we get

y = 2

From Equation (1) we get

x = 5.30 - 2 = 3.30

Hence price of an apple = $ 3.30

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2 years ago

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What are the coordinates of the endpoints of the mid segment of triangle ABC that is parallel to line AB?

MrMuchimi

Answer:

$(4.5,4)$ and $(4.5,6.5)$

Step-by-step explanation:

we have the coordinates

A(2,7),B(2,2),C(7,6)

we know that

The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC

The formula to calculate the midpoint between two points is equal to

$(\frac{x1+x2}{2},\frac{y1+y2}{2})$

step 1

Find the mid point AC

we have

A(2,7),C(7,6)

substitute in the formula

$(\frac{2+7}{2},\frac{7+6}{2})$

$(4.5,6.5)$

step 2

Find the mid point BC

we have

B(2,2),C(7,6)

substitute in the formula

$(\frac{2+7}{2},\frac{2+6}{2})$

$(4.5,4)$

therefore

The endpoints of the mid segment of triangle ABC that is parallel to line AB are $(4.5,4)$ and $(4.5,6.5)$

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3 years ago