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3 years ago

Divide. Write the quotient in lowest term 4 4/5 ÷1 1/2

Mathematics

1 answer:

dolphi86 [110]3 years ago

5 0

Answer:

3 1/5

Step-by-step explanation:

24/5 ÷ 3/2

24/5 x 2/3

48/15

16/5

3 1/5

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Tony is 21 years older than his sister Danielle. In 13 years he will be twice as old as Danielle. How old is each of them now?

Bess [88]

x-y=21 ⇒ x=y+21

x+13=2y

Substitute y+21 for x into the equation x+13=2y

So y+21+13=2y

Simplify 34=y

So Danielle is 34 years old. Plug y back in to the original equation

x-34=21

x=55

Tony is 55 years old

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4 years ago

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ANEK [815]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Which system or equation is represented in the graph?

melamori03 [73]

Answer:

$(A)\displaystyle \begin{array} {ccc} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{array}$

Step-by-step explanation:

<h3>Equation of the blue line:</h3>

since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

$\displaystyle \large y = - 2$

<h3>Equation of the red line:</h3>

remember The form of equation of a line

$\displaystyle \boxed{ \displaystyle y = mx + b}$

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

$\displaystyle m = \frac{ \Delta y}{ \Delta x}$

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

$\displaystyle m = \frac{ 1}{ 2}$

so we have figured out m and b

therefore our equation of blue line is

$\displaystyle y = \frac{1}{2} x - 3$

our given options are in standard form so

move -3 to left hand side and change its sign:

$\displaystyle y + 3= \frac{1}{2} x$

cross multiplication:

$\displaystyle 2y + 6= x$

move 6 to right hand side and x to left hand side and change its sign

$\displaystyle - x + 2y = - 6$

multiply both sides by -1:

$\displaystyle x - 2y = 6$

hence, our system of linear equation is

$\displaystyle \begin{cases} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{cases}$

3 0

3 years ago

Find the products.please please please please please help me! I’m desperate!

Dmitry_Shevchenko [17]

Answers:

5) product is $35ax^2 - 42axy + 7y^2$

6) product is $-a^6b^2 - 8a^5b - 5a^4$

7) product is $12x^5y + 6x^4y^2 + 21x^3y^3$

8) product is $3x^3y^2 - 6x^3y + 3x^5y - 3x^4y$

9) product is $x^{3n} + 7x^{n+1} - 3x^n$

=============================================

Explanation:

For each of these questions, you'll multiply the term outside by each term inside the parenthesis. I'm using the distributive property.

In problem 5, we multiply the outer 7a by the following terms inside like so

$7a(5x^2-2xy+y^2-4xy)\\\\7a(5x^2-6xy+y^2)\\\\7a(5x^2)+7a(-6xy)+7a(y^2)\\\\35ax^2-42axy+7ay^2\\\\$

The other problems will have similar steps.

--------

A useful rule to keep in mind is that $a^b*a^c = a^{b+c}$

For example, $x^2*x^3 = x^{2+3} = x^5$

3 0

3 years ago

What is the T.A. = and V =

chubhunter [2.5K]

The formula of the area of the equilateral triangle:
$A_\Delta=\dfrac{a^2\sqrt3}{4}\\\\a=3\to A_\Delta=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}$

The formula of the area of the rectangle:
$A=width\times length=wl\\\\w=3;\ l=6\\\\A=3\cdot6=18$

$T.A.=2A_\Delta+3A\\\\T.A.=2\cdot\dfrac{9\sqrt3}{4}+3\cdot18=\dfrac{9\sqrt3}{2}+54=(54+4.5\sqrt3)\ in^2$
The formula of the volume of the triangular prism:
$V=A_\Delta\cdot l\\\\V=\dfrac{9\sqrt3}{4}\cdot6=\dfrac{9\sqrt3}{2}\cdot3=\dfrac{27\sqrt3}{2}=13.5\sqrt3\ in^3$

8 0

3 years ago

Divide. Write the quotient in lowest term 4 4/5 ÷1 1/2​

Divide. Write the quotient in lowest term 4 4/5 ÷1 1/2