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3 years ago

The equation X- 6x 72 has a solution between 4 and 6

Mathematics

1 answer:

BigorU [14]3 years ago

6 0

Answer:

Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is:

x = 8.3

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Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 13% hydrochloric acid solution. Find the amount of 16% soluti

klasskru [66]

Answer:

She should mix 20 ounces of 16% solution and 12 ounces of 8% solution.

Step-by-step explanation:

Given:

Doreen Schmidt needs to prepare 32 ounces of a 13% hydrochloric acid solution.

Now, to find the amount she should mix of 16% solution and of 8% solution.

Let the 16% solution amount be $x.$

And let the 8% solution amount be $y.$

So, the total ounces of solution:

$x+y=32$

$y=32-x$ .......(1)

Now, to solve the equation to get the solution she should mix:

$16\%\ of\ (x)+8\%\ of\ (y)=13\%\ of\ (32)\\\\\frac{16}{100}\times x+\frac{8}{100}\times y=\frac{13}{100}\times 32$

$0.16x+0.08y=0.13\times 32$

Substituting the value of $y$ from equation (1) we get:

$0.16x+0.08(32-x)=4.16$

$0.16x+2.56-0.08x=4.16$

$2.56+0.08x=4.16$

Subtracting both sides by 2.56 we get:

$0.08x=1.6$

Dividing both sides by 0.08 we get:

$x=20.$

The 16% solution amount = 20 ounces.

Now, substituting the value of $x$ in equation (1) we get:

$y=32-x\\\\y=32-20\\\\y=12.$

The 8% solution amount = 12 ounces.

Therefore, she should mix 20 ounces of 16% solution and 12 ounces of 8% solution.

6 0

4 years ago

Can someone help me

djverab [1.8K]

Step-by-step explanation:

10)

any triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

the arc angle of 84° means that also the angle at Q is 84°, because the arc angle is the same as the segment angle at the center of the circle (that is how arc sngles are defined).

that means the supplementary angle (together they have 180°) of Q at the inner top angle of the small left triangle is 180 - 84 = 96°.

as the legs of this small left triangle are both the radius of the circle, this triangle is an isoceles triangle (both legs are equally long, and both angles at its baseline are equally large).

remember, the sum of all angles in a triangle is always 180°.

so,

y = (180 - 96)/2 = 42°

x is a complimentary angle (together they are 90°, remember, the large triangle is inscribed and is right-angled) to the second 42° angle

x = 90 - 42 = 48°

11)

y is the supplementary angle to 126°

y = 180 - 126 = 54°

this inner segment angle is the mean value between the 2 outer angles.

54 = (57 + 2nd outer angle of y)/2

108 = 57 + 2nd outer angle of y

2nd outer angle of y = 108 - 57 = 51°

all arc angles around a circle must be 360°.

x = 360 - 57 - 104 - 51 = 148°

12)

again, all arc angles together must be 360°.

y = 360 - 148 = 212°

x is the same angle as the top angle of a triangle inscribed to the right of the chord.

and that angle is half of the opposing arc angle (148°).

it is therefore 148/2 = 74°

and so,

x = 74°

6 0

2 years ago

What is the equation in point slope form for the given points and slope .1 and 9 slope 5

Musya8 [376]

Y=mx+b (1,9) and slope= 5 9=5(1)+b 9=5+b 9-5=b 4=b Equation is Y=5x+4

7 0

4 years ago

Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough calories to lose 4 poun

Marat540 [252]

Answer:

57 weeks

Step-by-step explanation:

6 0

3 years ago

Identify all the sets to which the number belongs. Choose from rational number, irrational number, whole number, an integer.

jek_recluse [69]

Answer:

Rational

Step-by-step explanation:

The number 1.256 is a fraction of two whole numbers, 1256 and 1000. You need a fraction of two integer or whole numbers to create a rational number.

8 0

3 years ago