1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksley [76]
3 years ago
7

Can anyone help with #4

Mathematics
1 answer:
noname [10]3 years ago
5 0
---------------------------------------------
Define x and y
---------------------------------------------
Let x be the amount of the cream (which has 2.5% of hydrocortisone)
Let y be the amount of the water-washable base. (which has 0% of hydrocortisone)

---------------------------------------------
Construct the 2 equations:
---------------------------------------------
Both x and y must add up to 120g
⇒ x + y = 120

Both x and y must add up to only 1% of hydrocortisone.
⇒0.025x + 0.0y = 0.01 x 120
⇒0.025x = 1.2

---------------------------------------------
Solve x and y:
---------------------------------------------
x + y = 120    ----------------- (equation 1)
0.025x = 1.2  ----------------- (equation 2)

---------------------------------------------
From equation 2:
---------------------------------------------
0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48 

---------------------------------------------
Substitute x = 48 into equation 1:
---------------------------------------------
x + y = 120  
48 + y = 120
y = 120 - 48
y = 72

-------------------------------------------------------------------------------------------------------
Answer: 48g of 2.5% of the cream and 72g of the water washable base are needed to make 120g of the prescription. 
-------------------------------------------------------------------------------------------------------
You might be interested in
Solve for x, assuming a, b, and c are negative constants.<br><br> (ax + b)/c ≤ b
Rudik [331]
(ax + b)/c ≤ b

ax+b ≤ cb

ax ≤ cb - b

x ≤ (cb-b)/a
5 0
3 years ago
The pair of triangles that are congruent by the ASA criterion is . The pair of triangles that are congruent by the SAS criterion
anzhelika [568]

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.


Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if  two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles  Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

5 0
3 years ago
Read 2 more answers
Someone plz help me giving brainliest
ale4655 [162]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need help on this! Can someone help me???
elixir [45]

Answer:

Just place a point on (2,-1) and another on (-2,-2)

this should create the line you need

7 0
3 years ago
Find the equation of the line passing through the points (0,1) and (-2,0). write the equation in slope-intercept form.
Misha Larkins [42]

First of all, you have to calculate slope of that,

m = (y2-y1)/(x2-x1) = (1-0)/(0+2) = 1/2

now, equation would be y-y1 = m(x-x1)

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

y-1 = x/2

y = x/2+ 1

5 0
3 years ago
Other questions:
  • The Brown family has many pairs of athletic shoes. They counted ppp pairs all together. They decided to give away 666 pairs, bec
    11·1 answer
  • 14. Of the 400 students in the 8th grade, four-
    9·2 answers
  • <img src="https://tex.z-dn.net/?f=5%20%5Ctimes%206%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title="5 \times 6 + \f
    8·1 answer
  • I´M NOT SURE HOW TO USE THIS INFORMATION / SOLVE AND FILL OUT THE CHART.
    13·1 answer
  • The height of a box is 3 inches. The length is three inches more than the width. Find the width if the volume is 390. Select one
    7·1 answer
  • If two lines are parallel the lines must they lie on the same plane
    5·1 answer
  • What is the area of the figure A 96 B 104 C 128 D 64
    13·1 answer
  • Evaluate 0 × |-6|. this would be 0 right?
    7·2 answers
  • What is x squared times x squared
    12·2 answers
  • Item C sold half as many times as item D. Altogether, you sold 54 of these items. How many of items C did you sell today? How ma
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!