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3 years ago

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1 answer:

7 0

$\sf Hello!$

$\sf Let\: the \:required$ % $\sf be\: x$

$\sf Then,$

$\sf x$ % × $\sf 50 = \sf 9$

⇒ $\dfrac{\sf x}{\sf 100} × \sf 50 = \sf 9$

⇒ $\dfrac{\sf x}{\sf 2} = \sf 9$

⇒ $\sf X = \sf 9 × 2$

⇒ $\boxed{\sf x = 18}$

$\sf Therefore,$
$\sf D.\: 18$ % $\sf of \:50\: is \:9$

~ $\sf iCarl$

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four times a number decreased by 6 is less than -2. Define a variable, write an inequality, and solve for the number

Strike441 [17]

The inequality is 4x - 6 < - 2 and solution for number is x < 1, where "x" is the variable

Solution:

Given that four times a number decreased by 6 is less than -2

To find: Define a variable, write an inequality, and solve for the number

Let "x" be the required number

From given information,

four times a number decreased by 6 < -2

four times "x" decreased by 6 < - 2

Here "times" represents multiplication. Four times x means 4 is multiplied by x

Decreased means something is subtracted away

Here 6 is subtracted from four times "x"

So we frame a inequality as:

4x - 6 < - 2

Moving -6 from R.H.S to L.H.S,

4x < -2 + 6

4x < 4

Dividing both sides by 4,

x < 1

Thus the inequality is 4x - 6 < - 2 and solution for number is x < 1

3 0

2 years ago

The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of mon

ivanzaharov [21]

Answer:

The slope is $0.35/min and it gives the cost per minute of the phone used.

Step-by-step explanation:

We can model this situation with a linear equation of the form

$y =mx+b$

where $y$ is monthly cost, $x$ is the number of minutes, $b$ is the flat monthly fee, and $m$ is the slope of the equation, or in our case, the amount of money charged per minute.

The slope $m$ is

$m= \dfrac{\$372.5-\$131}{990min-300min}$

$m = \$0.35/min$ ,

in other words, the phone company charges $0.5 per minute.

With the slope in hand, the linear equation becomes

$y =0.35x+b$ ,

and we can find the monthly fee $b$ from that fact that for 300 minutes the cost is $131:

$\$131 = 0.35(300min) +b$

$b = \%26$ .

Therefore,

$y = 0.35x+26$

where the slope if the equation give the cost per minute of the phone used.

4 0

3 years ago

Maddox wants to go back to college full-time. His current employer has agreed to reduce his hours from 40 hours to 25 hours whil

4vir4ik [10]

Answer:

Best fit for his new situation is modified budget A

Step-by-step explanation:

lets first calculate Wages which will be earned by Maddox after reduction of working hours .

from his current situation we can say that ,

for working of 40 hours , Maddox monthly income wages = $1760

so for working of 1 hour , Maddox monthly income wages = $1760÷40=$44

hence for working of 25 hour , Maddox monthly income wages will be $44 × 25 = $1100.

So New wages after reduction of working hours will be $1100. but if you see , in budget B and C , Income wages is considered as $1600 which will not be case after reduction of working hours to 25 . hence Maddox cannot go for Modified Budget B and Modified Budget C.

So he needs to decide between Modified Budget A and Modified Budget D.

Now lets concentrate upon Net income for Modified Budget A and Modified Budget D. Net income for Modified Budget D is in negative that is -$515. that means he need to earn $515 more to meet Budget D , but income wages are fixed that is $1100.

At last lets see Net income of modified budget A. he is able to save $30 , hence we can say that best fit for his new situation is modified budget A

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3 years ago

Read 2 more answers

a meteorologist measures the angle of elevation of a weather balloon with the ground as 41. A radio signal from the balloon indi

Aneli [31]

Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:

sin41 = x/1503 multiply both sides by 1503 to cancel it out
1503sin41 = x plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.

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3 years ago

Read 2 more answers

What is the value of x A. 20 B. 34 C. 60 D. 69

Grace [21]

Answer:

Step-by-step explanation:

The given angles are vertical and thus congruent, so

3x = x + 40 ( subtract x from both sides )

2x = 40 ( divide both sides by 2 )

x = 20 → A

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3 years ago