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Kipish [7]
3 years ago
15

The length of a rectangle is 5cm less than twice the width. The perimeter is 44cm.

Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

Width = 9

Length = 13

Step-by-step explanation:

width = w

length = L

w(2) - 5 =  L

w + w + L + L = 44

44 + 5 + 5 = 54

54/6 = 9

9(2) = 18 - 5 = 13

w = 9

l = 13

Check:

9 + 9 + 13 + 13 = 44

9(2) = 18 - 5 = 13

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A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration
algol [13]

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

(0.02a)+(0.05b)= 0.8

Multiplying the above equation by 100, we get

2a+5b=80 (Equation 2)

Substituting the value of a=25-b in equation 2, we get

2(25-b)+5b=80

50-2b+5b=80

50+3b=80

3b=30

b=10

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

7 0
3 years ago
-7c+9=c+1 <br> If you could also show how you did it i would appreciate it
Step2247 [10]
-7c+9=c+1    (subtract c on both sides)
-8c+9=1    (subtract 9 on both sides)
-8c=-8     (divide by -8 on both sides to get c by its self)
c=1
your answer is 1.
5 0
3 years ago
Read 2 more answers
Can I have help help on 22,24,26,28,30 please
Dmitriy789 [7]
I'll do 22 for you. 22, 24, 26, 28, and 30, are very similar to each other.

PROPORTIONS:
Draw it out.

5/7 = either c/6, or b/5. 
I'll do c/6
5/7 = c/6
solve for c
7c=30
c=30/7
now do the same thing to the remaining side, b.
there!

4 0
3 years ago
Is it 1 solution, no solution or infinite solution? <br> -28 = -7(3x + 4) + 21
prohojiy [21]

x = 1 because -7(3x + 4) must be -49 so 3x + 4 must me 7 so x = 1

5 0
3 years ago
Which of the following data sets has the mean, median, mode, and range as the same number?
I am Lyosha [343]

Answer:

A.

Step-by-step explanation:

6, 11,14,14,19,20

Adding these 6 numbers we get  84.

84 / 6 = 14 = mean.

Median =  middle number(s) = 14

Mode = number occurring most = 14.

5 0
1 year ago
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