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3 years ago

Dan was thinking of a number. Dan halves the number and gets an answer of 18.8. Form an equation with x from the information.

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

$\dfrac{x}{2} = 18.8$

Step-by-step explanation:

Let x represent the number Dan was thinking about.

Half of the number, x = 18.8

Therefore, when x is divided by 2, the result is 18.8

The equation which can be formed with the given information is therefore;

$\dfrac{x}{2} = 18.8$

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Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th

ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

$S - F = 5$ ---- (1)

From the second, we have:

$S - B = 8$ ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

$F = S - 5$

$B = S - 8$

Their product is represented as follows:

$F * B = 40$

Substitute values for F and B

$(S - 5) * (S - 8)=40$

Open bracket

$S^2 - 5S -8S + 40 = 40$

$S^2 - 13S + 40 = 40$

Subtract 40 from both sides

$S^2 - 13S = 0$

Factorize:

$S(S - 13) = 0$

Split:

$S = 0$ or $S - 13 = 0$

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

$S - 13 = 0$

Make S the subject

$S = 13$

Hence, Sarah is 13 years old

3 0

3 years ago

Please help me, I don’t understand how I keep getting it wrong!

GenaCL600 [577]

9514 1404 393

Answer:

1.2 t/m³

Step-by-step explanation:

1 tonne is 1 Mg = 10⁶ g

1 m³ is (100 cm)³ = 10⁶ cm³

The conversion is ...

(1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)

= 1.2(10⁶)/(10⁶) t/m³

= 1.2 t/m³

For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.

6 0

3 years ago

Help [(0.3×8)+(1.5×3)]+36

Vaselesa [24]

0.3×8=2.4
1.5×3=4.5

(2.4+4.5)+36=42.9

6 0

3 years ago

Find a positive number that is 42 less than its square.

Kruka [31]

It would be 49 bc the square root of 49 is 7 49-7=42

6 0

3 years ago

Can somebody help me out? I don’t get slope

Shalnov [3]

Answer: the slope of the line is 2/1

Step-by-step explanation:

Find a point on the graph and the go up twice until you see another point on the graph. So go to the right once. So you have found the slope of the line which is 2/1.

Hope this helps ☝️☝☝

5 0

3 years ago