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victus00 [196]
3 years ago
13

Round the following 25.635 to 2 d.p 315.239 to 1 dp0.3975 to 3dp 14.989 to 1 dp

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0
Well, you round up if the digit behind the decimal place is 5 or more and round down if the digit is 4 or less 

I guess the first is 25.64, since two decimal places means the hundredths, 3.  The digit behind is 5 , meaning that 3 will become a 4.
then 315.2
then 0.398
then 15 because the digit behind 9+ is an 8 greater than 5, which means the 9 is rounded up to 10, which is a one when it passes through the decimal point, making it 15.
sorry if my explanation sucks.  I hope this helps.
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a foreman must order enough sod to cover a dirt area 36 feet wide by 28 feet long. each piece of sod is 3 feet long and 12 inche
Andrews [41]

If we divide the area we have to cover by the area of a piece, we will get the number of pieces needed:

n=\dfrac{\text{dirt area}}{\text{piece area}}=\dfrac{36\times 28}{3\times 12} = \dfrac{36\times 28}{36}=28

3 0
2 years ago
Find m∠DEC (the picture is not drawn to scale).
pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

m∠DEC + x = 180

<u>(x - 45) + (x - 12) = x</u>

Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x                             Remove parenthesis

2x - 57 = x                                       Combine like terms

2x = x + 57                                      Add 57 to both sides

<u>x = 57</u><u>                                             Subtract x from both sides</u>

Finding m∠D:

x - 45 = ?

<u>57 - 45 = </u><u>12º                                          </u>

Finding m∠C:

x - 12 = ?

<u>57 - 12 = </u><u>45º                                           </u>

<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>

<em>Finding </em>m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

Hope this helps,

❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤

8 0
3 years ago
At the corner store near Billy’s
nikklg [1K]

Answer:

d = 0.0175n    ---> required equation

Billy can buy 285.714 gram nut with $5

Step-by-step explanation:

cost of 100g loose nut = $1.75

dividing LHS and RHS by 100

cost of 100/100g loose nut = $1.75

Thus, cost of 1 gm loose nut = $0.0175

let the weight of loose nut be n gm

Multiplying LHS and RHS by n

cost of x g loose nut = $0.0175*n =  $0.0175n

It is given that Billy spent d dollars to buy n gm nuts

thus,

d = 0.0175n    ---> required equation

________________________________________________

He spent $5 to buy nuts

substituting value of d as 5 we have

0.0175n = 5

=>n = 5/0.0175 = 285.714

Thus, Billy can buy 285.714 gram nut with $5.

7 0
3 years ago
brad converted 5/11 to a decimal, and his result was repeating decimal. does this mean that the value is rational or irrational?
Alina [70]

Answer: It means the value is rational

Step-by-step explanation:

Repeating decimals can be converted to fractions and rational numbers are numbers that can be expressed as a fraction  but irrational numbers cannot be expressed as a fraction and neither does it terminate or repeat.

4 0
3 years ago
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
MA_775_DIABLO [31]
The answer will be -8+13
4 0
3 years ago
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