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horrorfan [7]
3 years ago
6

Can someone help me please.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:

  1. Lena's Method: 280
  2. Jackson's Method: 280

Step-by-step explanation:

Lena's Method:

  1. 8 + 12 = 20
  2. Plug 20 in: 14(20)
  3. 14(20) = 14 × 20 = 280

Jackson's Method:

  1. 14 × 8 = 112
  2. 14 × 12 = 168
  3. Re-write the expression: 112 + 168
  4. 112 + 168 = 280

I hope this helps!

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One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost
zalisa [80]
Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
                           = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.
5 0
3 years ago
If 3x + 7 = 19, find the value of 4x + 1.<br> 4x + 1 =
Mkey [24]
X=4
4(4) + 1 =
16 + 1= 17
the answer is 17
8 0
3 years ago
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krek1111 [17]
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4 0
3 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 260 vinyl​ glov
yawa3891 [41]

Answer:

Step-by-step explanation:

pop 1 n₁ = 260, p₁ = 58% = 0.58

pop 2 n₂ = 260, p₂ = 8% = 0.08

Null hypothesis: p₁ ≤ p₂

Alternative hypothesis: p₁ > p₂

The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}

where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂

Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.

Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)

  = 0.5 / √[0.33(0.67) (0.0076)

= 0.5 / √0.00168036

= 0.5 / 0.04099

= 12.20

P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.

5 0
3 years ago
Water is an example of a solvent true or false !<br> Hurry up and answer
lara [203]
Yes water is a solvent
4 0
3 years ago
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