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Leona [35]
3 years ago
15

How many pounds of nails costing $7 per pound must be mixed with 6 pounds of nails costing $3 per pound to yield a mixture costi

ng $4 per pound?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0
Let nails 7/pound=N1
nails 3/pound=N2

let N1=x
N2=6
then total=x+6
7x+6*3=(x+6)*4
7x+18=4x+24
3x=6
x=2
so 2 pounds on Nails costing 7/pound must be added
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Find the area of the figure!!! Pleaseee don’t give a big explain Atom i have exactly 17 minutes to get to 90 on ixl!
prohojiy [21]

Answer:

137 m²

Formula's:

  • area of rectangle: length + width
  • area of triangle: 1/2 * base * height

Explanation:

⇒ area of rec + area of rec + area of rec + area of triangle

⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5

⇒ 8 + 42 + 72  + 15

⇒ 137 m²

3 0
2 years ago
Read 2 more answers
Solve the system of equations two ways: 3x+y=5 and x-2y=4 A) using substitution B) using elimination
Vedmedyk [2.9K]
A. solve for 1 variable
let's solve for x in 2nd equation
add 2y to both sides
x=2y+4
sub 2y+4 for x in other equation
3(2y+4)+y=5
6y+12+y=5
7y+12=5
minu12 both sides
7y=-7
divide 7
y=-1
sub back
x=2y+4
x=2(-1)+4
x=-2+4
x=2
(2,-1)


B. eliminate
eliminate y's
multiply first equation by 2 and add to first

6x+2y=10
<u>x-2y=4 +</u>
7x+0y=14

7x=14
divide by 7
x=2
sub back
x-2y=4
2-2y=4
minus 2
-2y=2
divide -2
y=-1
(2,-1)



(2,-1) is answer
5 0
3 years ago
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are
IRINA_888 [86]

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5 percent of these are defective.

This means that p = 0.05

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.0025 = 0.25% probability that both are defective

4 0
3 years ago
1. What is the solution of the equation<br> 3y-5y+10=36?<br> 1. -13<br> 2. 2<br> 3. 4.5<br> 4. 13
VikaD [51]

Answer:

1: -13

Step-by-step explanation:

First, simplify the equation to -2y+10=36

Subtract 10 from both sides

-2y=26

Divide negative 2 from both sides

y=-13

5 0
3 years ago
Read 2 more answers
The ideal width of a safety belt strap for a certain automobile is 7 cm. An actual width can vary by at most 0.3 cm. Write an ab
tester [92]
<span>
</span>(7-.3) \leq w \leq (7+.3)&#10;

6.7 \leq w \leq 7.3

w - 7 = -0.3

w = 6.7

So the answer is

<span>C. |w – 7| ≤ 0.3</span>
6 0
3 years ago
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