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DanielleElmas [232]

3 years ago

13

A package weighs 80 ounces. What is the weight of the package in pounds?

1 answer:

Degger [83]3 years ago

3 0

Answer:

5

Step-by-step explanation:

1 ounce = 0.0625

0.0625 x 80 = 5

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8(b+1)=-3(2+b) simply

gogolik [260]

Step-by-step explanation:

8(b+1)=-3(2+b)

8b+8=-6-3b

8b +3b = -6-8

11b = -14

b = -14/11

8 0

3 years ago

Solve the equation : |x| - 6 = 4

wlad13 [49]

Answer:

x=10

Step-by-step explanation:

10-6 is equal to 4. The absolute value of 10 is 10. Therefore, x=10. Brainliest?

6 0

3 years ago

What is 19 divided by 20 using long division & decimals?

andrew-mc [135]

Answer:

0.95

(Don't have paper, because I accidentally threw away paper )

3 0

3 years ago

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

the length of a rectangular building is 6 feet less than 3 times t he width. The perimeter is 120 feet. Find the width and the l

garri49 [273]

Call the width x. Note that the length is 3x-6. We know that double the width plus double the length is 120, so we write an equation:

$2(x)+2(3x-6)=120$
$2x+6x-12=120$
$8x-12=120$
$8x=132$
$x=16.5$
If x is 16.5, the width is 16.5, and the length is $3 \cdot 16.5 - 6 = 43.5$ .

5 0

3 years ago