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2 years ago

The price of one gallion of heating oil $2.589. Which is this number rounded to the nearest penny A $2.50 a $2.59 c $2.70 $3.00

1 answer:

5 0

$2.59 would be the correct rounding because you look at the 8 and the number next to it is 9 so the 8 goes up to nine since it’s larger than 5

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Write and solve an equation to answer the question, "What number aa is 25% of 64?" An equation is __ =0.25* __. The solution is

Leokris [45]

What number aa is 25% of 64? An equation is a=0.25*64. The solution is a=16. Then check.

64 / 16 = 4. So 16 is the solution.

7 0

3 years ago

What is the perimeter P of △DEF to the nearest whole number?

schepotkina [342]

Answer:

perimeter of ΔDEF ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180° (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

=13.248 + 8.866 + 10

=32.144

≈ 32 to the nearest whole number

perimeter of ΔDEF ≈ 32

6 0

3 years ago

Fractorise the following (a-b)²+(a-b)

Lisa [10]

Step-by-step explanation:

taking common (a-b)

so we get the answer

5 0

2 years ago

Find the inverse of f(x)=(x−5)/(−4x−2)

uysha [10]

Answer:

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

Step-by-step explanation:

The given rational function is

$f(x) = \frac{x - 5}{ - 4x - 2}$

Let

$y = \frac{x - 5}{ - 4x - 2}$

Interchange x and y

$x= \frac{y- 5}{ - 4y - 2}$

Cross multiply

$x( - 4y - 2)= y- 5$

Expand

$- 4xy - 2x= y- 5 \\ - 4xy - y= 2x - 5 \\y( - 4x - 1)= 2x - 5$

Solve for y;

$y= \frac{ 2x - 5}{ - 4x - 1}$

$y= \frac{ 5 - 2x }{ 4x + 1}$

Therefore

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

7 0

3 years ago

The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 8

Margarita [4]

Answer:

The number of supervisor in the factory is 9 .

Step-by-step explanation:

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴ y = $\frac{80}{5}$

I.e y = 16

So, The number of male workers = 6 y = 6 × 16 = 96

Thus The Total number of worker in the factory = The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = $\frac{146}{32}$ = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

Hence The number of supervisor in the factory is 9 . Answer

3 0

3 years ago

Read 2 more answers

The price of one gallion of heating oil $2.589. Which is this number rounded to the nearest penny A $2.50 a $2.59 c $2.70 $3.00​

The price of one gallion of heating oil $2.589. Which is this number rounded to the nearest penny A $2.50 a $2.59 c $2.70 $3.00