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2 years ago

A wood stove burns 4 same sized logs in 2 hours how many logs does the stove burn in 8 hours

2 answers:

8 0

By using the information you have, you can use make a proportion to solve this. You burn 4 logs in 2 hours or 4/2. You are comparing this to your unknown number, x, over 8 hours. So it looks like this 4/2 = x/8. You read it as four logs in two hours is x logs in eight hours. To solve you cross multiply. You do 2 times x and 4 times eight. That would be 2x= 32. Your goal is getting x alone, so divide each side by 2. Your answer is x= 16 logs in eight hours. You can solve this different and maybe easier ways but this is the best way if you want to get used to going this in algebra. Hope that helps! :)

rodikova [14]2 years ago

5 0

16 because 2 divided by 8 = 4 and 4×4 =16

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An employee shreds 341 pages in 11 minutes of work. How many pages will she shred in 20 minutes?

gavmur [86]

We have been given that an employee shreds 341 pages in 11 minutes of work.

First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.

$\text{Pages shred by employee in one minute}=\frac{341}{11}=31$

Now let us multiply 31 by 20 to find number of pages shred by employee in 20 minutes.

$\text{Pages shred by employee in 20 minutes}=31\cdot20=620$

Therefore, employee will shred 620 pages in 20 minutes.

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2 years ago

Which statement and reason accurately completes the proof? 3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-

ElenaW [278]

Answer:

3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate

Step-by-step explanation:

3) Statement ∠BDE ≅ ∠BAC;

Corresponding Angles Postulate

The Corresponding Angles Postulate states that given two parallel lines, in this case DE and AC cut by a transversal one (AB) than these corresponding angles are congruent.

5) ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate

If two pairs of corresponding angles are congruent (∠D and ∠A, ∠E and ∠C) than these triangles are similar.

5 0

3 years ago

7. Given a right triangle as shown below, use a calculator to estimate the length of the

Wewaii [24]

Answer:

D. 11.6 cm

Step-by-step explanation:

The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:

$c^2 - b^2 = a^2$

Where,

a = x cm

b = 11 cm

c = 16 cm

Thus:

$16^2 - 11^2 = x^2$

$256 - 121 = x^2$

$135 = x^2$

$\sqrt{135} = \sqrt{x^2}$

$\sqrt{135} = x$

$11.61895 = x$

$x = 11.6 cm$ (nearest tenth)

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3 years ago

Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.

Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = $150\times \frac{4}{(4+1)}$

= $150\times \frac{4}{5}$

= £120

Similarly, amount received by Tanya = $150\times \frac{1}{(4+1)}$

= £30

Difference in their amounts = 120 - 30

= £90

Therefore, Ivan got £90 more than Tanya.

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2 years ago

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

grandymaker [24]

2(x - 1) > = -12
2x - 2 > = -12
2x > = -12 + 2
2x > = -10
x > = -10/2
x > = -5 or -5 < = x

wrong solution would be B. x less then or equal to -5....because x is greater then or equal to -5

5 0

2 years ago