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Veronika [31]
3 years ago
11

On a manufacturer's assembly line, 3% of its merchandise comes off defective. If the company has 354 defective items, how many t

otal items came off the assembly line?
Mathematics
2 answers:
Rainbow [258]3 years ago
8 0
3% of x = 354 <span>3%∗<span>1<span>100%</span></span>∗x=354</span><span><span><span>3x</span>100</span>=354</span>Can you solve that for x<span>?</span>
horrorfan [7]3 years ago
3 0
<span>this is the steps to working the problem and the answer is 54: 3% means 3 out of each 100. if you have 100 items, 3% is just 3. You need more than 100 times as many (you want 354), so x must be more than 100 * 100, right? 3% of 10.62 is less than 1, and the problem says there are 354 :-)<span /></span>
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In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec
steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since \overline{GH} \parallel \overline{DE}, by the corresponding angles theorem, \angle FGH \cong \angle FDE, \angle FHG \cong \angle FED. This means \triangle FGH \sim \triangle FDE by AA.

As corresponding sides of similar triangles are proportional,

\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

6 0
2 years ago
And a wildlife preserve 46 ducks are captured tagged and then released. Later to her ducks are examined in four of the 200 ducks
docker41 [41]

Answer:

2300

Step-by-step explanation:

We are given that

Out of 200 , four ducks are tagged.

We have to find the number of ducks in the preserve if 46 ducks are tagged.

Let x be the number of ducks in the preserve.

If number of tagged ducks increases then number of preserved ducks also increases.It is in direct proportion.

According to question

\frac{x}{46}=\frac{200}{4}

x=\frac{200\times 46}{4}

x=50\times 46

x=2300

4 0
3 years ago
Christopher just found beautiful yarn for 20% off at his favorite yarn store. He can make one scarf from 2/3 of a ball of yarn.
bija089 [108]
Christopher would be able to make 18 scarves.

To solve this problem, we just need to divide 12 by 2/3. To divide 12 by 2/3, we just multiply 12 by 3/2.

This will give us 36 over 2 or just 18.
3 0
3 years ago
At the movie theatre, child admission is $6.40 and adult admission is $9.90. On Friday, 154 tickets were sold for a total sales
Minchanka [31]
6.40x+9.90(154-x)=1230.90
Solve for x
X=84 for child

154-84=70 for adults
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3 years ago
If Brenda drank 24 pints of milk how much did Jasmine drink​
lianna [129]

Answer:

Step-by-step explanation:

6 0
2 years ago
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