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laiz [17]
3 years ago
10

How many grams of 0.5% hydrocortisone cream must be mixed with 180 g of 2.5 % cream to make a 1 % w/w hydrocortisone cream? HINT

: Use alligation method.
Mathematics
1 answer:
Sophie [7]3 years ago
3 0

Answer:

We need 540 grams of 0.5% hydrocortisone cream

Step-by-step explanation:

Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that

x * 0.005 + 180*0.025 = (180+x)*0.01

Hence

0.005x + 4.5 = 1,8+0.01x

Lets put the x in the same side and take common factor

4.5-1.8 = 0.01x-0.005x

2.7 = (0.01-0.005)x = 0.005x

As a result

x = 2.7*0.005 = 540

We need 540 grams.

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Find the 76th term of the arithmetic sequence 16, 14, 12, ...<br> I need help pls
Alona [7]

Answer:

<h2>your answer is like this</h2>

Step-by-step explanation:

<h2>a)16. d)-2</h2><h2>an=a+(n-1)d</h2><h2>a76=16+(76-1)-2</h2><h2>=16-150</h2><h2>=-136</h2>
6 0
3 years ago
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Jessie draws triangle ABC on a coordinate grid. The slope of line segment AB is Jessie then transforms triangle
balu736 [363]

Answer:

1) Supports Jessie's Claim

2) Does Not Support Jessi's Claim

3) Supports Jessie's Claim

4) Does Not Support Jessi's Claim

Step-by-step explanation:

The given transformations are;

1) Rotation of 180° around the origin

For a rotation of 180° around the origin, either clockwise or anti clockwise, for a given coordinate of the preimage (x, y), the coordinate of the image is (-x, -y)

Therefore, whereby the slope of the preimage, given two points (0, 0) and (2, 2), = (2 - 0)/(2 - 0) = 1

For the image with the points (0, 0) and (-2, -2), we have;

(-2 - 0)/(-2 - 0) = 1

Therefore, the slope of the preimage and the image are equal

Therefore, supports Jessie's Claim

2) For a reflection across the line y = 2, we have

We note that the line y = 2 is parallel to the x-axis

For a reflection across the x-axis, for a preimage (x, y), we have the coordinates of the image (x, -y)

However for the reflection across the line y = 2, we have;

For a preimage, (x, y), the coordinate of the image is (x, -y+4)

Given two points, of the preimage (0, 0) and (2, 2), we have the image given as (0, 4) and (2, -2 + 4) = (2, 2);

The slope of the preimage is (2 - 0)/(2 - 0) = 1

The slope of the image is (2 - 4)/(2 - 0) = -1

The slope of the line of the preimage and the image are different

Therefore, does Not Support Jessi's Claim

3) For a translation up 1.25 units, we note that the difference in the y and x values of the coordinates of the preimage and the image will be equal when finding the slope, and therefore, the slope of the figure of the preimage and the slope of the figure of the image will be equal

Therefore, supports Jessie's Claim

4) For a reflection across the x-axis, a point on the preimage, with coordinates (x, y) will form a point on the image with coordinates (x, - y)

For a preimage with points (0, 0) and (2, 2), we have the image as (0, 0) and (2, -2)

The slope of the preimage is (2 - 0)/(2 - 0) = 1

The slope of the image is (-2 - 0)/(2 - 0) = -1

The slope of the line of the preimage and the image are different

Therefore, does Not Support Jessi's Claim

6 0
3 years ago
Determine the equation from the table listed below<br><br> Will give Brainly
yanalaym [24]

Answer:

It's c) y = 15x +200

Step-by-step explanation:

First divide the total cost by the number of students using two values of the table:

1500/100 = 15

This is the number that multiply x in the equation.

In the options given, there is just one equation that have 15 multipling x, so that must be the answer

5 0
3 years ago
Does anyone know the answer if so please tell me ty!
Nezavi [6.7K]
The bottom 2 i’m pretty sure, sorrry if it’s wrong
5 0
3 years ago
3. Simplify: 72 +8 [180 + 4 {10 + (15 - 45 - 9 x 2)}] simplify ​
garri49 [273]

Answer:

296

Step-by-step explanation:

6 0
2 years ago
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