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AlekseyPX
3 years ago
14

Alloy C is made from some part of Alloy A and Alloy B. Alloy C, which weighs 400 ounces and has 40% aluminum, is obtained from m

elting together x ounces of Alloy A, which has 30% aluminum, and y ounces of Alloy B, which has 60% aluminum. Which equation will help find how many of ounces of each alloy A and alloy B are used to make Alloy C? Question 10 options: A+B=4000.3A+0.55B=0.4(400) A+B=40030A+55B=0.4(400) A+B=400.3A+0.55B=400 A+B=4000.3A+0.55B=400
Mathematics
1 answer:
butalik [34]3 years ago
4 0

Answer:

I suppose correct opton is option A, but all options are for 55% alloy B

Step-by-step explanation:

<u>Alloy A (30%):</u>

Weight = x ounces

Weight of aluminium =0.3\cdot x=0.3x ounces

<u>Alloy B (60%):</u>

Weight = y ounces

Weight of aluminium =0.6\cdot y=0.6y ounces

<u>Alloy C (40%):</u>

Weight = 400 ounces

Weight of aluminium =0.4\cdot 400 ounces

The weight of alloy C is combined weight of alloys A and B, then

x+y=400

The weight of aluminium in alloy C is combined weight of aluminium in alloys A and B, then

0.3x+0.6y=0.4\cdot 400

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Heights of young adult women in the United States are approximately Normal with a mean of 64 inches and standard deviation 2.7 i
sweet-ann [11.9K]

Answer:

The proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is  

   P( X >  72) =0.0015233

Step-by-step explanation:

From the question we are told that

   The mean is  \mu =  64 \ inches

    The standard deviation is  \sigma =  2.7 \  inches

Generally  6 feet  is equivalent to 6 * 12 = 72 inches

Generally the proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is mathematically represented as

       P( X >  72) =  P(\frac{X - \mu }{\sigma }  >  \frac{72  - 64 }{ 2.7 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

       P( X >  72) =  P(Z >  2.963 )

From the z-table

  The area under the normal  curve to the right corresponding to 2.963  is  

     P(Z >  2.963 ) = 0.0015233

=>   P( X >  72) =0.0015233

3 0
3 years ago
The area of a rectangular bathroom mirror is 9 square feet. the mirror is 3 feet wide. how tall is it?
lisabon 2012 [21]
You multpily the length and the width to find the area of a shape. If the square is 3ft wide, then the square is also 3 ft long if the area is 9.
so, how tall is it?
3 ft. I meant rectangle. Its still the same for the height.
5 0
3 years ago
What is the value of x? 0.9(x+1.4)−2.3+0.1x=1.6
mash [69]
Expand

Simplify 0.9x + 1.26 - 2.3 + 0.1 * x to x - 1.04

add 1.04 to both sides 

simplify 1.6 + 1.04 to 2.64

Answer: x = 2.64
5 0
3 years ago
Read 2 more answers
NEED THE ANSWER ASAP PLEASE
Firdavs [7]

Answer:

AB = 5

Step-by-step explanation:

Since the triangle is isosceles then the legs are congruent, that is

BC = BA, substitute values

5x - 10 = 3x - 4 ( subtract 3x from both sides )

2x - 10 = - 4 ( add 10 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus

AB = 3x - 4 = 3(3) - 4 = 9 - 4 = 5

5 0
3 years ago
Read 2 more answers
For the diagram below, form an equation and then solve it to calculate the value of x
Talja [164]
You apply the sum of interior angles formula ie. (n-2)180. n=number of sides
since a pentagon has 5 sides it will be (5-2)180=540.
now add everything. x-5+x-6+2x-7+x+2x-2=540.
Solve for x: 7x-20=540
7x=540+20
7x=560
x=560/7
x=80
8 0
3 years ago
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