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Lyrx [107]
2 years ago
9

Lucy correctly answered 70% of the questions on her science homework.she counted 14 correct answers on her paper .if each questi

on is of a equal value ,how many questions did lucy have on her science homework
Mathematics
1 answer:
disa [49]2 years ago
4 0

Lucy has 20 questions in her science home work

<em><u>Solution:</u></em>

Given that,

Lucy correctly answered 70% of the questions on her science homework

She counted 14 correct answers on her paper

<em><u>To find: Number of questions in her science home work</u></em>

Let "x" be the number of questions in her science home work

From given we can say,

Lucy correctly answered 70% of questions

She counted 14 correct answers

70 % of total questions = 14 correct answers

70 % of x = 14

70 \% \times x = 14\\\\\frac{70}{100} \times x = 14\\\\0.70x = 14\\\\x = \frac{14}{0.70}\\\\x = 20

Thus Lucy has 20 questions in her science home work

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Evaluate the expression 3(7 + 4)2 − 24 ÷ 6
solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3<u>(7 + 4)</u>2 − 24 ÷ 6 = 3(<u>11</u>)2 − 24 ÷ 6  =<u> 66</u>  − 24 ÷ 6

Next, we solve divide,

66 − <u>24 ÷ 6</u> = 66 - <u>4</u>  

Next, solving the subtraction, 66 - 4    = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0
3 years ago
Dee Dee bought an Apple for $0. 85, a sandwich for $4. 50, and a bottle of water for $1. 50. How much did Dee Dee spend?
OLga [1]

To figure out how much she spent all we have to do is add up $0.85, $4.50 and $1.50

$0.85 + $4.50 + $1.50 = $6.85

Therefore she spent $6.85

Hope this helps

8 0
3 years ago
Read 2 more answers
The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos
JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the population = 500 </em>

<em>Given standard deviation of the Population = 75</em>

Let 'X' be the variable in normal distribution

      Z = \frac{x-mean}{S.D}

<em>Given X = $410</em>

<em></em>Z = \frac{410-500}{75} = - 1.2<em></em>

<u><em>Step(ii):-</em></u>

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

                  =  0.5 - A( -1.2)

                 = 0.5 - A(1.2)

                = 0.5 - 0.3849  ( ∵from normal table)

                = 0.1151

<u>Final answer:-</u>

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0
3 years ago
Write the equation of the line that passes through the points (4,9) and (9,1). Put
Sonbull [250]

Answer:

y=-8/5x+77/5

Step-by-step explanation:

The equation of line that passes through the points (4, 9) and (9, 1) is y=-8/5x+77/5. Hope it helps!

7 0
3 years ago
Can someone help me :(
nikdorinn [45]

Answer:

A is the correct answer

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8 0
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