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4 years ago

42 is 30% of what number

2 answers:

max2010maxim [7]4 years ago

6 0

30%
percent means parts out of 100 so 30%=30/100=3/10

42 is 3/10 of x
'of' can be translated to multiply
42=3/10 times x
multiply both sides by 10/3 to get rid of fraction
420/3=x
140=x

the number is 140

Vadim26 [7]4 years ago

5 0

140.
Take 42/30% and you get 140
Hope this helps!

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Algebra

nevsk [136]

Answer:

The equation is y = 3/5x - 6

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

3x - 5y = 7

-5y = -3x + 7

y = 3/5x + 7/-5

This gives us a slope of 3/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - -6 = 3/5(x - 0)

y + 6 = 3/5x

y = 3/5x - 6

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3 years ago

The equation of a line is given below.

Anarel [89]

Sorry i’m not gonna graph it but with this info u easily can

the y intercept is -1
slope is 3/1
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3 years ago

Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed

Genrish500 [490]

It would take 11.5 hours. If he drove 460 miles in hours, his speed was about 57.5. Driving 661.5 miles at the same speed is equivalent to 11.5 hours.

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3 years ago

In a psychological experiment, a person is able to memorize M words in t minutes, where M= -0.001t^3 + 0.1t^2. Find the average

kherson [118]

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3 years ago

What are the rounded answers to each question?

matrenka [14]

For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.

Step-by-step explanation:

Step 1:

In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.

To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.

$sin\theta= \frac{oppositeside}{hypotenuse}, sin39=\frac{x}{30}.$

$0.6293 = \frac{x}{30} , x = 18.879.$

GH measures 18.879 units. Rounding this off, we get 18.9 units.

Step 2:

Assume the side HI measures y units. According to Pythagoras' theorem,

$30^{2}= 18.879^{2} +y^{2} , y^{2}=30^{2}-18.879^{2}.$

$y^{2} = 543.5834, y = 23.314.$

So HI measures 23.314 units. Rounding this off, we get 23.3 units.

Step 3:

GHI is a triangle and all triangles have a total angle of 180°.

$\begin{aligned}&\angle G^{\circ}+\angle H^{\circ}+\angle I^{\circ}=180^{\circ},\\&\angle G^{\circ}+90^{\circ}+39^{\circ}=180^{\circ},\\&\angle G^{\circ}=180^{\circ}-129^{\circ}=51^{\circ}.\end{aligned}$

So ∠G° measures 51°.

5 0

3 years ago