What is 32.0 forty-three in expanded form

Find the circumference of the circle and round to the nearest tenth

ikadub [295]

Answer:

circumference of circle = 2×pi×r

circumference of circle = 2×3.14×12.7

circumference of circle = 79.756 in

8 0

2 years ago

Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.

inysia [295]

9514 1404 393

Answer:

$7.50

Step-by-step explanation:

Rounded to the nearest $10, the $49.35 bill becomes $50.

We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.

Then 5% of $50 is half of 10%, so is $5/2 = $2.50.

The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...

15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50

The estimated 15% tip is $7.50.

3 0

3 years ago

Which of the following systems of inequalities represents the graph?

mixer [17]

Answer:

Option D.

Step-by-step explanation:

Consider the below figure attached with this question.

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is

$y-0=\frac{4-0}{0-(-2)}(x-(-2))$

$y=2(x+2)$

$y=2x+4$

$-2x+y=4$

All area above the solid line is shaded. It means the sign of inequality is ≥.

$-2x+y\geq 4$

From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is

$y-0=\frac{2-0}{0-(2)}(x-(2))$

$y=-1(x-2)$

$y=-x+2$

$x+y=2$

All area below the dashed line is shaded. It means the sign of inequality is <.

$x+y$

System of inequality is

$-2x+y\geq 4$

$x+y$

Therefore, the correct option is D.

5 0

3 years ago

4/f + 11 =29 what does f =

Delvig [45]

$\frac{4}{f} + 11 = 29$

First, subtract '11' from each side.
$\frac{4}{f} = 29 - 11$

Second, subtract '29 - 11' to get '18'.
$\frac{4}{f} = 18$

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
$4 = 18f$

Fourth, once again, we need to get 'f' alone. Divide both sides by 18.
$\frac{4}{18} = f$

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
$4 \div 2 = 2 \\ 18 \div 2 = 9$

Seventh, we can now rewrite our fraction in simplest form and switch sides.
$f = \frac{2}{9}$

Answer in fraction form: $\fbox {2/9}$
Answer in decimal form: $\fbox {0.2222}$

7 0

3 years ago

Read 2 more answers

Could someone help me out

AnnyKZ [126]

It is the second one

7 0

2 years ago

Read 2 more answers