a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?

Answer:

She can be a member for 8 months

Step-by-step explanation:

Let x be the number of months

30 + 10.5(x) = 114

30 + 10.5x = 114

10.5x = 114-30

10.5x = 84

x = 84/10.5

x = 8 mints

Answer:

The monthly membership fee.

Step-by-step explanation:

Answer:

1.15

Step-by-step explanation:

Answer: 2/6 times 3/5 = 1/5

Step-by-step explanation:

Answer:

Six thirtieths is the answer

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

Answer:

Gradient of KL = 2

Step-by-step explanation:

From the diagram, we are to calculate the gradient of KL. Gradient is salso known as the slope of the line.

Gradient of KL = ΔOK/ΔOL

Given

OK = 2OL

Substitute into the formula

From the diagram, ΔOL = -5

ΔOK = 2ΔOL

ΔOK = 2(-5)

ΔOK = -10

Hence;

Gradient = -10/-5

Gradient of KL = 2

Answer:

see below

Step-by-step explanation:

8+3m= -7

Subtract 8 from each side

3m+8-8= -7-8

Combine like terms

3m= -15

Divide each side by 3

3m/3 = -15/3

m = -5

Check

8+3m= -7

8+3(-5) = -7

8-15 = -7

-7 = -7

m = -5 is the solution

Step-by-step explanation:

8+3m=-7

3m= -7-8

3m=-15

m= -5

Answer:

0.85

Step-by-step explanation:

A standard deck of cards has 52 cards. There are 4 10s and 4 Queens in the deck. There 8 cards that are 10s or Queens.

52 - 8 = 44

There are 44 out of 52 cards that are not 10s or Queens.

p(not 10 or Queen) = 44/52 = 0.85

Answer: 0.85

Answer:

$46.72

Step-by-step explanation:

The first step is to find the price of 1 gallon

5 gallons= 14.46

1 gallon= x

5x= 14.46

x= 14.46/5

1 gallon= $2.92

Therefore the cost of 16 gallons of gasoline can be calculated as follows

1 gallon= 2.92

16= x

x= 2.92 × 16

= $46.72

Answer:

its not showing up

Step-by-step explanation:

Answer:

$1.40

Step-by-step explanation:

if the total is $1.80 and the hot cocoa costs exactly $1 more the cookie has to be $0.40 otherwise the price would go above or below the total when it is doubled with another dollar added

A cup of hot cocoa costs is $0.40.

Given that,

At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80.

If a cup of hot cocoa costs one dollar more than a cookie,

We have to determine,

How much does a cup of hot cocoa cost?

According to the question,

At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80.

If a cup of hot cocoa costs one dollar more than a cookie,

The total is $1.80 and the hot cocoa costs exactly $1 more the cookie has to be $0.40

The price would go above or below the total when it is doubled with another dollar added.

Hence, A cup of hot cocoa costs is $0.40.

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Answer: The equation to solve is:

(x3y3+x2y2+xy+1)ydx+(x3y3−x2y2−xy+1)xdy=0

t3−t2−t+1t3+t2+t+1dt=dxx

any more help just ask :)

Answer:

Concept: Higher level Mathematics- Derivatives

[tex] \frac{ax + b}{ \sqrt{x} } \frac{d}{dx} [/tex]

Answer:

B.x<0 cs u useing easy steps

The given is that r║s while the angles are known.

m∠1 = 80 - x

m∠2 = 90 - 2x

m∠1 = m∠2 because of corresponding angles theorem.

So,

m∠1 = m∠2

80 - x = 90 - 2x

- x = 90 - 80 - 2x

- x = 10 - 2x

- x + 2x = 10

x = 10

The value of x is 10

Answer:

y = - x² + 4

Step-by-step explanation:

The equation of a parabola whose vertex is on the y- axis is

y = ax² + c

where a is a multiplier and c is the y- intercept

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here vertex is a max, thus a = - 1 and c = 4

Then equation of parabola is

y = - x² + 4

Answer:

x=(c-k)/3

Step-by-step explanation:

First, subtract k from both sides of the equation to get: 3x=c-k

Next, divide both sides by 3 to get x by itself=> 3x/3=c-k/3

The threes on the left side cancel, giving you x=(c-k)/3

Answer:

$1.40

Step-by-step explanation:

Unit = "1 value"

9.80/7 = 1.4

Answer:

C

Step-by-step explanation:

hope this helped. I am in algebra two so you can trust my answer. happy holidays and stay safe

Answer:The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

50*1/5 squared

1/5 = 0.2.

0.2 squared = 0.04

0.04 * 50 = 2

The expression after simplifying gives as 2.

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: 50g² and g = 1/5.

Thus substituting we get 50 × 1/25=2

Hence, The expression after simplifying gives as 2.

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Answer:

3 minutes

Step-by-step explanation:

30/60 which is how many minutes are in an hour, gives you .5 miles per minute and .5 x 3 = 1.5miles

Answer:

The answer is 1.2

Step-by-step explanation:

1.2/6=0.2

Hope this helped!

Answer:

1.2

Step-by-step explanation:

6X0.2=1.2

Answer:

22-6

Step-by-step explanation:

there isnt a variable so the answer is 16

Answer:

I am pretty sure you would just write 22-6

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

hope this helps =)

The given equation has no solution.

What is equation?

Equation is a statement that show the equality of two expressions connecting by equal sign. for example, 3x - 5 = 20. In this case, 3x - 5 and 20 both are expressions which are connected by equal sign. The two expressions are written on the left side of equal and right side of equal. There are different types of equations such as linear equation, quadatic equation, etc.

The equation is given in the question is 4(x - 8) + 12 = 2(2x -9).

when we find out the solution,

4(x - 8) + 12 = 2(2x -9)

Multiply x with 4 and 2 according to the equation.

4x - 32 + 12 = 4x - 18

4x - 20 = 4x - 18

now, you can see this equation has no solution as the value of x cannot be determined.

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