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AlexFokin [52]
3 years ago
13

*WILL GIVE BRAINLIEST TO WHOEVER HAS DETAILED ANSWERS FOR 2-12*

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0
For #2, you would plug in “35” because a quarter is 25 cents and plug that into the equation instead of “5” like how you used for the nickel which is worth 5 cents. So they equation would be y x 25=z
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<img src="https://tex.z-dn.net/?f=0%20%3D%20%20%7B%20x%7D%5E%7B2%7D%20%20-%2018%20%2B%2064" id="TexFormula1" title="0 = { x}^{2
timurjin [86]

Answer:

x = \sqrt{- 46}

Step-by-step explanation:

x^{2} - 18 + 64 = 0

x^{2}  + 46 = 0

x^{2} = - 46

x = \sqrt{- 46}

6 0
3 years ago
Find the value of x ?!??
goldfiish [28.3K]

Answer:

x=4

Step-by-step explanation:

Pentagon's sum of interior angle is 540°

let's add all the given degrees

100+20x+16x+16+140+160-5x=540

Collect like terms

100+16+140+160+20x+16x-5x=540

416+31x=540

31x=540-416

31x=124

x=124/31

x=4```

5 0
3 years ago
In a 650g bag of mixed dried fruits, the ratio of mangos to apples to pears is 12:8:6 by mass. Determine the masses of the mango
Virty [35]

Answer:

mass of mangos = 300g

mass of apples = 200g

mass of pears = 150g

Step-by-step explanation:

lets first reduce the ratio

12:8:6

is the same as

6:4:3

this means the the denominator of our fractions will be 6 + 4 + 3 = 13

hence

mangos = 6/13 of 650g

6/13 * 650 = 300

apples = 4/13 of 650g

4/13 * 650 = 200

pears = 3/13 of 650g

3/13 * 650 = 150

7 0
3 years ago
A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a
miv72 [106K]

Answer:

22670.8 cm³/min

Step-by-step explanation:

Given:

Radius of the balloon at a certain time (r) = 19 cm

Rate of growth of radius is, \frac{dr}{dt}=5\ cm/min

The rate at which the air is pumped in the balloon can be calculated by finding the rate of increase in the volume of the balloon.

So, first we find the volume of the sphere in terms of 'r'. As the balloon is spherical in shape, the volume of the balloon is equal to the volume of a sphere. Therefore,

Volume of balloon is given as:

V=\frac{4}{3}\pi r^3

Now, rate of increase of volume is obtained by differentiating both sides of the equation with respect to time 't'.

Differentiating both sides with respect to time 't', we get:

\frac{dV}{dt}=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4\pi}{3}(3r^2)(\frac{dr}{dt})\\\\\frac{dV}{dt}=4\pi r^2(\frac{dr}{dt})

Now, plug in 19 cm for 'r', 5 cm per minute for \frac{dr}{dt} and solve for \frac{dV}{dt}. This gives,

\frac{dV}{dt}=4\pi (19 cm)^2(5\ cm/min)\\\\\frac{dV}{dt}=4\times 3.14\times 361\times 5\ cm^3/min\\\\\frac{dV}{dt}=22670.8\ cm^3/min

Therefore, the rate at which the air is being pumped into the balloon is 22670.8 cm³/min.

4 0
4 years ago
Which function has a greater slope and y-intercept than the linear function represented in the table?
Sav [38]

Answer:

B) y=3x+7.5

Step-by-step explanation:

The equation of the data in the table can be obtained by using any two points.

We will use points (3, 13) and (5,17)

<u>The slope - intercept form is: </u>

  • y = mx  + b

<u>We find the slope as:</u>

  • m = (17-13)/(5-3) = 4/2 = 2

<u>The equation becomes:</u>

  • y = 2x + b

<u>To find the value of b, the y -intercept is:</u>

  • 13 = 2*3 + b ⇒ b= 13 - 6 = 7

<u>So the equation is:</u>

  • y = 2x + 7

<u />

<h3>Now let's compare this with the options</h3>

A) y = 2x + 8.5

  • The slope is 2, and y- intercept is 8.5
  • It has same slope and greater y-intercept
  • Answer is <u>no</u>

B) y=3x+7.5

  • The slope is 3, and y- intercept is 7.5
  • It has greater slope and greater y-intercept
  • Answer is <u>yes</u>

C) y=5x+6.5

  • The slope is 5, and y- intercept is 7.5
  • It has greater slope but smaller y-intercept
  • Answer is <u>no</u>

D) y=10x+5.5

  • The slope is 10, and y- intercept is 5.5
  • It has greater slope but smaller y-intercept
  • Answer is <u>no</u>

5 0
3 years ago
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