How much water must be added to 12 quarts of a 10% solution of salt and water to reduce to a 6% solution?

Answers

Answer 1

Answer:

Let x = quarts of water to be added

so then

12* 10% + x * 0% = (12+x) * 6% (this says 12 quarts of 10% solution + x quarts of 0%(water) equals the new total (12+x) of a 6% solution

1.2 = .72 + .06x

.48 = .06x

x = 8 (quarts of water to be added)

Step-by-step explanation:

Hope this helps


Related Questions

Which choice shows (40+10)+30 correctly rewritten using the associative property and then correctly simplified?

40 + (10 + 30) = 40 + 40 = 80

40 + 30 + 10 = 70 + 10 = 80

40 + (10 +30) = 50 + 30 =80

(10 +40) + 30 = 50 + 30 =80

Answers

the last one, d, is the correct answer

having troubles solving this question

Answers

Answer:

option c is the correct answer

Answer:

c. 1/3

Step-by-step explanation: Substitute the corresponding x and y values into the slope formula, m = y2-y1/x2-x1. Then simplify the equation and you will get 1/3.

What is the 8th term of a(n)=6•3^(n-1)

Answers

Answer:

13122

Step-by-step explanation:

a(n) = 6 * 3^(n -1)

a(8) = 6* 3^7

3^7 = 2187

a(8) =6 * 2187

a(8) = 13122

I need help solving for x

Answers

Answer:

x = 25

Step-by-step explanation:

Given a line parallel to a side of the triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{40}{24}[/tex] = [tex]\frac{x}{15}[/tex] ( cross- multiply )

24x = 600 ( divide both sides by 24 )

x = 25

The correct answer to your question is X=25

Integers help me with this question

Answers

9514 1404 393

Answer:

  5196 m

Step-by-step explanation:

The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.

  5040 -(-156) = 5040 +156 = 5196

The difference in elevation is 5196 meters.

Write the following expression in standard place-value form.

Answers

Answer:

3408

Step-by-step explanation:

When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4 = C, where C is a constant. Suppose that at a certain instant the volume is 400 cm^3 and the pressure is 80 kPa and is decreasing at a rate of 10 kPa/min. At what rate is the volume increasing at this instant?

Answers

Answer:

The volume increases at 35.71cm^3/min

Step-by-step explanation:

Given

[tex]PV^{1.4} = C[/tex]

[tex]V = 400cm^3[/tex]

[tex]P =80kPa[/tex]

[tex]\frac{dP}{dt} =-10kPa/min[/tex]

Required

Rate at which volume increases

[tex]PV^{1.4} = C[/tex]       [tex]V = 400cm^3[/tex]       [tex]P =80kPa[/tex]

Differentiate: [tex]PV^{1.4} = C[/tex]  

[tex]P*\frac{dV^{1.4}}{dt} +V^{1.4}*\frac{dP}{dt} = \frac{d}{dt}C[/tex]

By differentiating C, we have:

[tex]P*\frac{dV^{1.4}}{dt} +V^{1.4}*\frac{dP}{dt} = 0[/tex]

Rewrite as:

[tex]P*(1.4)*V^{0.4}* \frac{dV}{dt} + V^{1.4}*\frac{dP}{dt} = 0[/tex]

Solve for [tex]\frac{dV}{dt}[/tex]

[tex]P*(1.4)*V^{0.4}* \frac{dV}{dt} =- V^{1.4}*\frac{dP}{dt}[/tex]

[tex]\frac{dV}{dt} =- \frac{V^{1.4}*\frac{dP}{dt} }{P*(1.4)*V^{0.4}}[/tex]

Substitute values

[tex]\frac{dV}{dt} =- \frac{400^{1.4}*-10 }{80*(1.4)*400^{0.4}}[/tex]

[tex]\frac{dV}{dt} =\frac{400*10 }{80*1.4}[/tex]

[tex]\frac{dV}{dt} =\frac{4000 }{112}[/tex]

[tex]\frac{dV}{dt} =35.71cm^3/min[/tex]

Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)

Answers

The correct answers are (-3, 4) (-6, 6) (0, 2)

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!

Answers

Answer:

216

Step-by-step explanation:

outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216

What is the decimal multiplier to increase by 4.3%?​

Answers

Answer:

1.043

Step-by-step explanation:

Decimal multiplier to increase by x% is computed as:-

100% + x%

The decimal multiplier to increase by 4.3% would be

100% +4.3% = 104.3%

To remove% we divide the number by 100, so the number will become

Hence, The decimal multiplier to increase by 4.3% = 1.043

Please Mark as Brainliest

Hope this Helps

ABC is an isosceles triangle in which AC =BC.
D and E are points on BC and AC such that CE=CD.
prove triangle ACD and BCE are congruent​

Answers

Given:

ABC is an isosceles triangle in which AC =BC.

D and E are points on BC and AC such that CE=CD.

To prove:

Triangle ACD and BCE are congruent​.

Solution:

In triangle ACD and BCE,

[tex]AC=BC[/tex]                  (Given)

[tex]AC\cong BC[/tex]

[tex]\angle C\cong m\angle C[/tex]                  (Common angle)

[tex]CD=CE[/tex]                  (Given)

[tex]CD\cong CE[/tex]

In triangles ACD and BCE two corresponding sides and one included angle are congruent. So, the triangles are congruent by SAS congruence postulate.

[tex]\Delta ACD\cong \Delta BCE[/tex]           (SAS congruence postulate)

Hence proved.

Answer:

Given ABC is an isosceles triangle with AB=AC .D and E are the point on BC such that BE=CD

Given AB=AC

∴∠ABD=∠ACE (opposite angle of sides of a triangle ) ....(1)

Given BE=CD

Then BE−DE=CD−DE

ORBC=CE......................................(2)

In ΔABD and ΔACE

∠ABD=∠ACE ( From 1)

BC=CE (from 2)

AB=AC ( GIven)

∴ΔABD≅ΔACE

So AD=AE [henceproved]

Two circles are concentric if they have the same center.


On a coordinate plane, a circle has center (4, 6) and has a radius of 2 units.


Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large?

Answers

9514 1404 393

Answer:

  (b)  (x – 4)^2 + (y – 6)^2 = 16

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

You want the equation for a circle with center (4, 6) and radius 4. That equation is ...

  (x -4)^2 +(y -6)^2 = 16

Answer:

B; (x – 4)2 + (y – 6)2 = 16

Step-by-step explanation:

correct on edge

The owner of a football team claims that the average attendance at games is over 74,900, and he is therefore justified in moving the team to a city with a larger stadium. An independent investigator will conduct a hypothesis test to determine whether his claim is accurate. This test is ________. Group of answer choices Two-sided Lower-tailed Upper-tailed

Answers

Answer:

Option c (Upper tailed) is the correct choice.

Step-by-step explanation:

Given that:

The average attendance is:

= 74,900

We will have to test:

[tex]H_0:\mu \leq \mu_0[/tex]

or,

   [tex]H_0: \mu \leq 74,900[/tex]

Verses,

⇒ [tex]H_1: \mu> \mu_0[/tex]

or,

    [tex]H_1: \mu >74,900[/tex]

The other given alternatives aren't connected to the given scenario. So the above is the correct one.

What is the value of log E 100

Answers

Answer:

4.605170185988091

Step-by-step explanation:

ln 100 = 4.605170185988091

e^4.605170185988091 = 100

Step-by-step explanation:

100=1 log 10(1)=0

I hope this is helpful for you

Can someone please answer this question for me with explanation bc im kinda having a hard time

Answers

Answer:

Step-by-step explanation:

First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region

Area of Circle

Here, r=radius

area of circle= π×r²

                     = π × 5²     (radius=half of diameter)

                     = 25π

                     = 78.54cm²

Area of Triangle

Here, b=base, h=height

area of triangle = [tex]\frac{1}{2\\}[/tex]×b×h

                          = [tex]\frac{1}{2}[/tex]×8×6

                          = 24cm²

Area of shaded region= area of circle - area of triangle

                                     = 78.54 - 24

                                     = 54.54

                                     ≈ 54.5cm² [Ans]

Plz help me solve this algebra problem

Answers

Answer:

Exact Form:

x = 2 √ 2 − 1 3 , − 2 √ 2 − 1 3

Decimal Form:

x = 2.49509379 , − 3.16176045

Step-by-step explanation:

Simplify the decimals as needed

Identify the relationship between the graphs of these two equations. y = 5/6x + 5 y = 5/6x - 1

parallel
perpendicular
neither ​

Answers

Answer:

parallel

Step-by-step explanation:

the slope of each line is 5/6 which means the lines are parallel

A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the tables as they come in.

What is the probability that the first 3 parties of the night are all seated at window seats?

Answers

Answer:

50/50

Step-by-step explanation:

It's random

help no links or any other stuff please

Answers

Answer:

z = 2.2

Step-by-step explanation:

[tex]-\frac{z}{0.5} + 1.4 = -3\\\\-\frac{z \times 10}{0.5 \times 10} + 1.4 = -3\\\\-2z + 1.4 = -3\\\\-2z = -3 - 1.4\\\\-2z = -4.4\\\\z = \frac{-4.4}{-2}\\\\z = 2.2[/tex]

(4-i)-(3-i) in standard form

Answers

Answer:

ifeywifheb

Step-by-step explanation:

hkefewib

WILL GIVE BRAINLIST! PUT THESE NUMBERS ON THE PLOT

Answers

I wasn’t sure if I should include all the numbers if they were doubles but you get the idea. Hope this helps!

Answer:

"fair" srry im only in 8th so im d.u.m

Step-by-step explanation:

What should my answer be?

Answers

The answer should be X>10
The answer is X>10 :)

Five less than Greg's age is less than 23 ​

Answers

Answer:

Greg is 28.

Step-by-step explanation:

Greg's age is y.

y - 5 = 23

y - 5 + 5 = 23 + 5

y = 28

Choose the pair of sets which is equivalent.



Answer and I will give you brainiliest ​

Answers

I think it’s c i hope im correct

what pairs of degree measures NOT belong to the
group?

Answers

Answer:

B. 56° and 38°

Step-by-step explanation:

The sum of each of the two angles sums up to 90° ;

A.) 13° and 77°

Sum of A ; (13 + 77)° = 90°

B.) 56° + 38°

Sum = 56° + 38° = 94°

C) 37° and 53°

Sum = 37° + 53° = 90°

D.) 42° and 48°

Sum = 42° + 48° = 90°

Hence, the pair of degree measure which does not belong is B. 56° and 38°

Which of the following represents the factorization of the trinomial below?
x2 - 17x+ 30
A. (x-3)(x-10)
B. (x-2)(x+15)
C. (x-2)(x-15)
D. (x-3)(x +10)

Answers

this is c! you can always just expand the answer choices.

Write the equivalent of the fraction using a dominator of 35 4/14​

Answers

Answer:

10/35

Step-by-step explanation:

4*2.5=10

14*2.5=35

4/14=10/35

Which is an equation for the line that passes through (0, 2) and (-2, 0)?

Answers

Answer:

Step-by-step explanation:

(0,2). y=mx+b or 2=-2 × 0+b, or solving for b: b=2-(-2)(0).

Answer:

the required equqtion is x-y=2

Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
14 cm
25 cm
11 cm

Answers

Answer:

[tex]Shaded = 212.5cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The shaded region

First, calculate the area of the complete rectangle

[tex]Area =Length * Width[/tex]

[tex]Area = 14cm * 25cm[/tex]

[tex]Area = 350cm^2[/tex]

Next, calculate the area of the triangle

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} *25cm * 11cm[/tex]

[tex]Area = 137.5cm^2[/tex]

Subtract the area to calculate the shaded region area

[tex]Shaded = 350cm^2 - 137.5cm^2[/tex]

[tex]Shaded = 212.5cm^2[/tex]

1 . ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V))

Answers

. ( m →(N v Q)) →((M→N) v (M→Q))

2.((T v U) → V) → (T → (U → V)) wut tyhe hell is this

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