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4 years ago

What is the slope of the line represented by the equation 3 x + 4 y =8

Mathematics

1 answer:

iren [92.7K]4 years ago

4 0

Answer:

Step-by-step explanation:

3x + 4y = 8

4y = 8 - 3x

y = 2 - (3/4)x

So the slope of the given line is -(3/4).

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One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35 minutes. How long will it take the

tatuchka [14]

Answer:

22.75 minutes or 22 minutes 45 seconds

Step-by-step explanation:

Okay, this is a working together question. Let’s walk through it together!

Firstly, let’s say the total volume of the swimming pool is x sq.meters

Now, the rate of the smaller hose would be x/65 while that of the larger will be x/35

Now, their combined rate would be x/65 + x/35 = 100x/2275

Now, since the volume is x, the time taken is simply, the volume divided by the joint rate. That is mathematically equal to x divided by 100x/2275

x * 2275/100x = 2275/100 = 22.75 minutes or 22 minutes 45 seconds

8 0

3 years ago

Write an algebraic expression for the word expression. the quotient of 10 times m and 7

Makovka662 [10]

Answer:

10m/7

Step-by-step explanation:

quotient means division so 10 times m is 10m

and then we will divide 10m and 7

10m/7

please mark as brainliest

8 0

3 years ago

Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by

fiasKO [112]

$\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy$

Converting to cylindrical coordinates, the integral is equivalent to

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)$
$=\dfrac{2\times7^3}3=\dfrac{686}3$

4 0

3 years ago

What’s the value of 27.43? Write answer in a fraction

Nezavi [6.7K]

Answer:

As an improper fraction: 27 $\frac{43}{100}$

As a mixed fraction: $\frac{2743}{100}$

Step-by-step explanation:

Any number could be expressed as a fraction 27 is $\frac{27}{1}$ and since 0.43 is forty-three hundredths we can express it as $\frac{43}{100}$ .

To find the answer as a mixed fraction we have to put the whole number in the beginning and the fraction in the end. 27 $\frac{43}{100}$

As an improper fraction we have to add 27 / 1 + 43/100 = $\frac{2743}{100}$

4 0

3 years ago

Read 2 more answers

Helpppppppppppppppppp

UNO [17]

Answer:

<em>2 solutions</em>

Step-by-step explanation:

Given the expression

2m/2m+3 - 2m/2m-3 = 1

Find the LCM of the expression at the left hand side:

2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1

open the bracket

4m²-6m-4m²-6m/(4m²-9) = 1

Cross multiply

4m²-6m-4m²-6m = 4m² - 9

-12m = 4m² - 9

4m² - 9+12m = 0

4m² +12m-9 = 0

<em>Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2</em>

8 0

3 years ago