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3 years ago

How can i use multiplication to find the quotient 3/5÷3/15How can I use multiplication to find the quotient 3/5÷3/15

2 answers:

7 0

$\bf \cfrac{a}{b}\div \cfrac{c}{d}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c}\qquad therefore \qquad \cfrac{3}{5}\div \cfrac{3}{15}\implies \cfrac{3}{5}\cdot \cfrac{15}{3}\implies \cfrac{3}{3}\cdot \cfrac{15}{5}\implies 3$

mars1129 [50]3 years ago

3 0

The rule here is that one inverts (finds the reciprocal of) the divisor (3/15) and then multiplies:

In 3/5÷3/15

we arrive at 3/5 * 15/3 = 3.

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Find the slope of the line that contains the points (-5, 3) and (-1, -5).

My name is Ann [436]

Slope of the line
(3-(-5)) / (-5-(-1))
8 / -4
-2

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3 years ago

I’m not sure how to solve “system of equations”

natka813 [3]

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

7 0

3 years ago

Would the answer be <br> 40, 10 ?

Eduardwww [97]

Answer:

yeah the answer is (40,10)

6 0

2 years ago

A car traveled 330 miles during a 5½ hour period. If the speed at which the car traveled can be represented in the equation d=rt

Alina [70]

Answer:

The car was travelling at a speed of 60 miles per hour.

Step-by-step explanation:

Given:

Distance traveled = 330 miles

Time Period = $5 \frac12\ hr$

we need to find the speed of the car .

Solution:

Time Period = $5 \frac12\ hr$

Now we can say that;

$\frac12\ hr =0.5\ hr$

So Time period = $5+0.5 =5.5\ hr$

Now we know that;

Distance traveled $(d)$ is equal to Speed $(r)$ multiplied by Time Period $(t)$ .

framing in equation form we get;

$d=rt\\\\330 =r\times 5.5$

Dividing both side by 5.5 we get;

$\frac{330}{5.5}=\frac{5.5r}{5.5}\\\\r = 60\ mi/hr$

Hence The car was travelling at a speed of 60 miles per hour.

6 0

3 years ago

Let f(x) = 4x – 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.

lesantik [10]

$f(x)=4x-5,\ g(x)=3x+7\\\\f(x)+g(x)=(4x-5)+(3x+7)=4x-5+3x+7\\\\=(4x+3x)+(-5+7)=7x+2\\\\\text{It's a linear function. The domain is the set of all real numbers.}\\\\Answer:\\\\f(x)+g(x)=7x+2\\D=\mathbb{R}$

8 0

3 years ago