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oksano4ka [1.4K]
3 years ago
8

How to expand 5x(5 3x)?

Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0
75 always do parenthesis first so 5*3=15 so 15x5=75 because 5*5=25 so drop the 5 carry the 2 the do 5*1 which equal 5 then add 2 and that equal 75.
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Can anyone help with #4
noname [10]
---------------------------------------------
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. 
-------------------------------------------------------------------------------------------------------
5 0
3 years ago
A sequence of 7 numbers starts with 8. The second number in the sequence is unknown and may be positive or negative. The third t
scoray [572]

Answer:

4

Explanation:

a_1=8,a_7=0

Since the third term is the sum of the two previous terms

a_3=a_2+a_1

a_7=a_6+a_5

a_7=a_5+a_4+a_4+a_3

Continuing in like manner

a_7=5a_3+3a_2

Since a_3=a_2+a_1

a_7=5(a_2+a_1+3a_2

a_7=5a_2+5a_1+3a_2

a_7=8a_2+5a_1

Recall: a_1=8,a_7=0

0=8a_2+5*8

8a_2=-40

a_2=-5

The sequence is therefore:

8,-5,3,-2,1,-1,0

The sum of the seven numbers is 4.

8 0
3 years ago
2ax+1=ax+5 i need help with my work
OLga [1]
2ax + 1 = ax + 5

First, subtract 1 from both sides. / Your problem should look like: 2ax = ax + 5 - 1
Second, simplify ax + 5 - 1 to ax + 4. / Your problem should look like: 2ax = ax + 4
Third, subtract ax from both sides. / Your problem should look like: 2ax - ax = 4
Fourth, simplify 2ax - ax to ax. / Your problem should look like: ax = 4
Fifth, divide both sides by a. / Your problem should look like: x = \frac{4}{a}

Answer: x = \frac{4}{a}

5 0
3 years ago
Which description is paired with its correct expression?
Snowcat [4.5K]

Answer:

Step-by-step explanation:

We can write our unknown number like x

four less than the quotient of a number cubed and seven, increased by three

4-\frac{x^3}{7}+3

five times the difference of a number squared and six

5(x^2-6)

nine more than the quotient of six and a number cubed, decreased by four

9+\frac{6}{x^3}-4

twice the difference of nine and a number squared

2n^2-9

6 0
3 years ago
Read 2 more answers
Find the standard deviation if the mean of a sample is 72, a z-score of 3 Raw Score: 42 Raw Score: 81
Fynjy0 [20]

Answer:

a) when x = Raw Score: 42

Standard deviation = σ = -10.3

b) Raw Score: 81

Standard deviation = σ = 2.67

Step-by-step explanation:

Find the standard deviation if the mean of a sample is 72, a z-score of 3

Z score formula is given :

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean = 73

σ is the population standard deviation

z = 3

a) when x = Raw Score: 42

z = (x-μ)/σ

3 = 42 - 73/σ

Cross Multiply

3σ = 42 - 73

3σ = -31

σ = -31/3

σ = -10.3

b) Raw Score: 81

z = (x-μ)/σ

3 = 81 - 73/σ

Cross Multiply

3σ = 81 - 73

3σ = 8

σ = 8/3

σ = 2.67

6 0
3 years ago
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