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bulgar [2K]
3 years ago
5

suppose you have 1000 gallons of gasoline 20% is premium and 80% is regular how much premium gas needs to be added to bring the

mixture to 60% premium​
Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

20% of 1000 gal = 200 gal of premium gasoline

80% of 1000 gal = 800 gal of regular gasoline

x = volume of premium gasoline that you need to add to the current mixture

60% of the new mixture is supposed to be premium gasoline. The new mixture would have a total volume of (1000 + x) gal, and in this total, you'd have (200 + x) gal of premium gasoline. So

\dfrac{200+x}{1000+x}=0.60\implies200+x=600+0.60x

\implies400=0.40x\implies x=1000

You'd need to add 1000 gal of premium gasoline to get a mixture of 60% premium.

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A jewelry designer is making a pendant. The pendant will be a circular dis (center O) with a circular hold cut out of it, as sho
antoniya [11.8K]

Answer:

2884.8 millimeters squared

Step-by-step explanation:

Given:

The radius of the disc is 35 millimeters, so the area of it is:

πr^{2} = 3.14*35^{2} = 3846.5

Then, we find out the area of the circular hold cut out of the bigger one, its radius is a haft of the radius of the bigger circle = 35/2 = 17.5

πr^{2} = 3.14*17.5^{2} =961.6

=>  the area of the pendant = 3846.5  - 961.6  =2884.8 millimeters squared

6 0
3 years ago
Step 2: Radii OK and NL are perpendicular to OM because of the radius-tangent theorem. By definition of perpendicular, angles KO
solong [7]

Answer:

Angle Angle Angle (AAA) property

Step-by-step explanation:

A right angled triangle is a triangle that has one of its angles to equal 90^{0}. It could be in the form of an isosceles triangle or an acute angled triangle.

The given question compares the congruence properties of two triangles, KOM and LNM.

Thus,

<KOM = <LNM (right angle theorem)

<LMN = <KMO (common angles to both triangles)

⇒ <OKM = <NLM (property of a triangle i.e sum of angle in a triangle is 180^{0})

ΔKOM = ΔLNM (congruence property)

Therefore, by angle angle angle (AAA) congruence property, the two triangles are similar.

7 0
4 years ago
I NEED THIS ANSWER ASAP!!
Greeley [361]
A: 0 3 4 5 5 6 7 9 9 20
3 3 5 5 6 8 8 9 9 

B: No, they are not symmetric
4 0
3 years ago
Factories and other industrial users account for about 23/50 of the total water usage in the United States. Which of the followi
Kay [80]
23/50 you want the denominator to be 100 so you multiply both by 2

then you get 

46/100 or you can divide and get  .46
to turn it to a percentage multiple by 100

.46 and 46%
5 0
3 years ago
Alegbra 4 questions giving brainlist!
olga nikolaevna [1]

Answer:

1) 4

2) 1

3) -7

4) 13

Step-by-step explanation:

Instructions:

a) Subtract or add the slope from each side

( it doesn't matter which one you pick )

b) Subtract or add the # next to the slope from each side

( it doesn't matter which one you pick )

c) Divide Each number by the slope

d You have you answer

____________________________________________

1) 9x - 35 = - 7x + 29

+7x + 7x

_____________________

16x - 35 = 29

+ 35 +35

_____________________

16x = 64

_____________________

16 16

x = 4

2). - 2x - 2 = 9x - 13

+2x +2x

_____________________

- 2 = 11x - 13

+ 13 + 13

_____________________

11 = 11x

_____________________

11 11

1 = x

3). 3x + 29 = - 5x - 27

+5x + 5x

_____________________

8x + 29 = - 27

-29 -29

_____________________

8x = -56

_____________________

8 8

x = -7

4). x - 11 = 3x - 37

- x - x

______________________

-11 = 2x - 37

+37 +37

______________________

26 = 2x

_______________________

2 2

13 = x

Hope this helps! (:

3 0
3 years ago
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