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Rudiy27
3 years ago
10

A company that makes​ hair-care products had 400 people try a new shampoo. Of the 400 people, 16 had a mild allergic reaction. W

hat percent of the people had a mild allergic​ reaction?
Mathematics
2 answers:
MrRa [10]3 years ago
5 0

Answer:

4% of people had a mild allergic reaction

Step-by-step explanation:

16 is 4% of 400

y = p\% \times x

p\% = y \div x

p\% = 16 \div 400

p = 0.04

Convert decimal to percentage

p\% = 0.04 \times 100 = 4\%

NNADVOKAT [17]3 years ago
3 0

My Answer:

I am pretty sure it would be around 4%

:)

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Use the graph to solve the given system of equations, <br> x-3y=-3<br> x+y=5
sweet [91]

Answer:

x=3

y=2

Step-by-step explanation:

3 0
2 years ago
Please help, I dont know the answer, can someone tell me the answer please and explain it?
sergiy2304 [10]

Answer:

Kristen is correct.

2^3 is the same thing as 2 times 2, times 2. 2 cubed = 8.

5 0
3 years ago
A box is to be made where the material for the sides and the lid cost​ $0.20 per square foot and the cost for the bottom is ​$0.
Reika [66]

Answer:

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

Step-by-step explanation:

From the given information;

Let a be the cost of the box

Let b  be one side of the square base ;    &

h to be the height  of the box

We know that the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

The base = (0.65)a²

The top = (0.2)a²

The side = (0.2) a × 25/a²

= 5/a

For the four sides of the box now ;

= (0.2) 4a × 25/a²

= 0.8  × 25/a

= 20 /a

The total cost of the box is:

b = 0.65a² + 0.2a² + 20 /a

b = 0.85 a² + 20 /a

Taking differential of b with respect to a ;we have:

db/da = 1.7a - 1/a²(20) = 0

1.7 a³ - 20 = 0

1.7 a³  = 20

a³ = 20/1.7

a³ = 11.77

a = \sqrt[3]{11.77}

a = 2.274 ft

Thus; the cost for the base of the box = (0.65)a²

the cost for the base of the box =(0.65) × ( 2.274)²

the cost for the base of the box = 3.362

The top of the box = (0.2)a²

The top of the box = (0.2)× ( 2.274)²

The top of the box = 1.034

The four sides of the box = 20 /a

The four sides of the box = 20/2.274

The four sides of the box = 8.795

the total cost = b = 0.85 a² + 20 /a

the total cost = 0.85 (2.274)² + 20 /2.274

the total cost = 4.395 + 8.795

the total cost = 13.19

Recall that:

the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

h = 10/ 2.274²

h  1.934

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

7 0
3 years ago
Y varies directly as x. Y=28 when x=2. Find y when x=12
Tatiana [17]

Answer:

Y=168

Step-by-step explanation:

Y varies directly as X

Y=kx

K is a constant

28=k2

K=28/2 =14

Y=14x

Y=14×12

Y=168

4 0
2 years ago
The cost to purchase 3 sandwich rolls is $0.48. How much will it cost to<br> purchase 20 rolls?
spayn [35]

Answer:

$3.2

Step-by-step explanation:

0.48 ÷ 3 = 0.16

0.16*20=3.20

Hope this helps

7 0
2 years ago
Read 2 more answers
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