solve for x . please help also don’t forget to show work

Answer:

Step-by-step explanation:

10 gallons of the 20% solution contain 2 gallons of bleach.

x gallons of the 5% solution contain 0.05x gallons of bleach.

If the two are combined, the resulting 10+x gallons contain 2+0.5x gallons of bleach. The concentration is (2+0.05x)/(10+x).

(2+0.05x)/(10+x) = 15%

2+0.05x = 0.15(10+x)

2+0.05x = 1.5+0.15x

0.5 = 0.10x

x = 5

5 gallons of 5% solution is added to the 10 gallons of 20% solution.

Answer:

Step-by-step explanation:

y = [tex]\frac{5}{6}[/tex] x - 12

m = [tex]\frac{5}{6}[/tex]

( - 1, 2 )

y - 2 = [tex]\frac{5}{6}[/tex] ( x - ( - 1 ))

Equation of the ║ line is y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{17}{6}[/tex]

Slope of the perpendicular line is ( - [tex]\frac{6}{5}[/tex] )

y - 2 = - [tex]\frac{6}{5}[/tex] ( x - ( - 1 ))

Equation of the ⊥ line is y = - [tex]\frac{6}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

Answer:

15 minutes

Step-by-step explanation:

The IQR is the range between Q1 and Q3. The quartile that represents 25% is Q1 and 75% is Q3. So, to solve find the range between 75% and 25%. The range is the difference. Therefore, subtract 25 from 40 to get the final answer, 15 minutes.

Answer: B

Step-by-step explanation:

Why did historians choose to study this topic?

Answer:

[tex]5x + 2 = 100 \\ 5x = 100 - 2 \\ 5x = 98 \\ x = \frac{98}{5} \\ x = 19.6[/tex]

Answer: the answer would be x because that's the actual variable in the question then if 19.6 was not an option

Step-by-step explanation:

9514 1404 393

Answer:

  0.2807

Step-by-step explanation:

The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...

  e = (1 +r/n)^n -1

  e = (1 +0.25/12)^12 -1 = 0.2807 . . . . . . about 28.07%

Answer:

2.97m

Step-by-step explanation:

1% of 3m =1/100×3=0.03

0.03m of cloth was shrunk,

So, New lenght : 3-0.03=2.97m

Answer:

50,000

Step-by-step explanation:

3 is in the ones place so 3

9 is in the tens place (90)

1 is in the hundreds place (100)

3is in the thousands place (3,000

Answer:

11.3 ft high

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

4² + b² = 12²

16 + b² = 144

b² = √128

b = 11.3

answer in screenshot

Answer:

y is not a function of x

Step-by-step explanation:

This fails the vertical line test. This means that not all inputs have exactly one output. This makes this not a function.

Answer:

Step-by-step explanation:

2 × ( 3x + 6 )° + ( 16x + 14 )° = 180°

22x + 26 = 180

22x = 154

x = 7

Answer:

Step-by-step explanation:

Slope of the given line: m=4/3

Slope of the perpendiclar : m'=-3/4 (the inverse of the opposed of m)

Equation of the perpendiclar line: (passing through (-7,2))

[tex]y-2=(x+7)*\dfrac{-3}{4} \ or\\\\ y=-\dfrac{3x}{4} -\dfrac{13}{4}[/tex]

Step-by-step explanation:

Hi there!

According to the question;

Five more than twice a number is three.

Then let the number be "x".

Since X is the number according to the condition of question;

The number is twice : 2x

It's then more 5 : 2x+5

And the result is : 3,

Combining all; we get,

2x+5 = 3

Therefore, the required equation is 2x+5 = 3.

Hope it helps!

1) you find the multiplier by dividing 15÷100=0.15

2) multiply the answer by 11.95 so 0.15x11.95=1.792 so the answer is $1.792 because it is 15% of $11.95

Answer:

13.74

Step-by-step explanation:

To determine the tip, take the total amount and multiply by the tip percentage

11.95 * .15

1.7925

Round to the nearest cent

1.79

Add this to the cost of the haircut

11.95+1.79

13.74

Answer:

Step-by-step explanation:

x = 2, y = -5

√(2²+(-5)²) = √29

cosθ = 2/√29 = (2√29)/29

sinθ = -5/√29

cscθ = 1/sinθ = -√29/5

tanθ = sinθ/cosθ = -5/2

The values of cos theta is 2/[tex]\sqrt{29}[/tex] , cosec theta is [tex]\sqrt{29} /5[/tex] and tan theta is 5/2 if the point on the terminal side of theta is (2,-5).

It says that in a right angled triangle the square of the hypotenuse is equal to the sum of the square of base and square of height.

We have been given a point (2,-5) on the terminal side. Let us plot the point on the graph and join it with origin from both ends.

By pythagoras theorem we can easily find AC=[tex]\sqrt{5^{2}+2^{2} }[/tex]

AC=[tex]\sqrt{29}[/tex]

With the help of the sides of the triangle we can find the value of

cos theta=2/[tex]\sqrt{29}[/tex]

cosec theta=[tex]\sqrt{29}[/tex]/5

tan theta=5/2

Hence the values of cos theta, cosec theta, tan theta are 2/[tex]\sqrt{29}[/tex],[tex]\sqrt{29}[/tex]/5,5/2 respectively.

Learn more about pythagoras theorem at https://brainly.com/question/343682

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Answer:

Step-by-step explanation:

factor each total

27 = 3 x 3 x 3

18 = 3 x 3 x 2

45 = 3 x 3 x 5

The largest (and only) common factor is 3

however each factorization also contains the product 3 x 3 = 9

so the maximum each bag may have cost is $9 and if so, she sold 5 bags of sugar cookies.

another option would be that each bag cost $3 and she sold 15 bags of sugar cookies. However, the question asked for the maximum possible price.

Answer:

[tex]a^{2} + 2ab + b^{2} - c^{2}[/tex]

Step-by-step explanation:

   A         B       C

A  a^2    ab    -ac

B  ab     b^2    -bc

C   ac    bc     -c^2

Answer:

Hello,

Step-by-step explanation:

HCF(100,150,250)=50*HCF(2,3,5)=50*1=50

Part of each fruits for a student:

2 oranges, 3 cirtrus and 5 guavas.

Answer:

"C"

Step-by-step explanation:

-B means the B is in the opposite direction

Answer:

-64

Step-by-step explanation:

-8^2

-8( -8)

=-64

Answer:

27

Step-by-step explanation:

x-y

We are subtracting and we want the smallest number

We want the smallest number for x and the largest number for y

The smallest number for x is 71

The largest number for y is 44

71-44

27

Answer:

A number is divisible by 10 if it has a zero in ones place.

Step-by-step explanation:

Answer:

4 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = x / 8

8 sin 60 = x

8 ( sqrt(3)/2) = x

4 sqrt(3) =x

Answer:

Since points T, R, and P are all present on plane B, the answer is A.

Points T, R, and P define plane B

We have given that,

A. plane B

B. line e

C. line segment PR⎯⎯⎯⎯⎯⎯⎯

D. plane M

We have to determine the Points T, R, and P, define

A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors. The generalization of the plane to higher dimensions is called a hyperplane. The angle between two intersecting planes is known as the dihedral angle.

Since points T, R, and P are all present on plane B, the answer is A

Points T, R, and P define plane B.

To learn more about the plane visit:

https://brainly.com/question/2644832

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9514 1404 393

Answer:

  4.18 square units

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

where b is the length of the base, and h is the perpendicular distance from the base to the opposite vertex.

  A = 1/2(2.2)(3.8) = 4.18 . . . square units

Brenna and her mom finished eating dinner at 7:28 PM

They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.

4:47 + 26 = 5:13 PM

They spent another 1 hour and 13 minutes shopping for a dress.

5:13 + 1 hr 13 min = 6:26 PM

Finally, they spent 1 hour and 2 minutes eating dinner at the food court.

6:26 + 1 hr 2 min = 7:28 PM

Hope this helps :)

Answer:

3 times 10 ^ 9

Step-by-step explanation:

3 × 10 ^ 9 = 3000000000

Answer:[tex]z=a+bi=|z|(cos(θ)+isin(θ))tofindthtrigonometricform.√sin2(ga8A)+cos16(A)(cos(arctan(−1sin(ga8A)cos8(A)))+isin(arctan(−1sin(ga8A)cos8(A))))[/tex]

Step-by-step explanation: