how many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtain 400g of an 8% solution?

Answer:

2x+2(x+5)) = 24

Step-by-step explanation:

2x+ 2(x+5) = 24

x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.

Answer:

EASY-ACCESS CREDIT:

1. title loan with collateral

2. two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. home loan

2. car loan

The division of category on the basis of type of credit would be as follows:

Easy-Access Credit

1. Title loan with collateral

2. Two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. Home loan

2. Car loan

Credit is described as the amount that has been added to a specific account.

Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.

While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).

Close-end credit in which the amount remains specified initially while it is being lent.

Learn more about "Credit" here:

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Answer:

She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years

Step-by-step explanation:

i = prt

i = ($61,000)(.14)(2)

i = $17,080

$78,080

Answer:

$78080

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 14/100 × 2

I = $17080

She have = 61000 + 17080 = $78080

Answer:

See explanation below.

Step-by-step explanation:

First, read this explanation of how to understand probability numbers.

A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.

A probability of 0 means the event will not happen. It is an impossibility.

A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.

A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.

A probability of between 0 and 0.5 is more likely not to happen than to happen.

A probability of between 0.5 and 1 is more likely to happen than to not happen.

Now let's look at each one of the probabilities in your problem.

1. 1/4

1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.

1. b. Unlikely

2. 0.0

0.0 will definitely not happen.

2. e. Impossible

3. 0.50

0.50 can just as easily happen or not happen.

3. d. Equally Likely

4. 100%

100% is the same as 1. A probability of 1 means an event that is certain to happen.

4. a. Certain

5. 75/100

75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.

5. c. Likely

Answer:

Perimeter =63 inches

Area = 243in²

Step-by-step explanation:

Given data

Length of computer = 18in

Width of computer = 13.5in

From the given data the computer has a rectangular shape

Perimeter of the computer = L+L+W+W= 2L+2W

Perimeter = 2(18)+ 2(13.5)

Perimeter = 36+27=63 inches

Area of rectangular shape = L*W

Area = 18 x 13.5= 243in²

Answer:

Perimeter: 63 inches

Area : 243 square inches  

Step-by-step explanation:

Hi, to answer this question w eave to apply the next formulas:

Perimeter of a rectangle: (2 x width) + (2 x length )

Area of a rectangle: width x length

Replacing with the values given:

Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches

Area = 18 x 13.5 = 243 square inches  

Feel free to ask for more if needed or if you did not understand something.

Answer:F

Step-by-step explanation:

Answer:

i honestly think that its A, C, D, F.

Step-by-step explanation:

for the A i think that you need to write down the facts so you dont forget and you remember when someone asks you a question.

For C you should gather your resources so you can do the experiment again if your not satisfied with the first result.

For D you should draw a diagram so you can keep track of your information that you used to get the final solution.

For F, you should always make sure that you didn't mess up and that you can redo it to double check.

Answer:

[tex]6x + 42[/tex]

Step-by-step explanation:

Apply the distributive property:

[tex]6x + 6 \times 7[/tex]

Multiply 6 by 7

[tex]6x + 42[/tex]

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

Answer:

11) 30.7

12) 16.3

Step-by-step explanation:

11)

[tex]\dfrac{\sin 50}{12}=\dfrac{\sin B}{8}[/tex]

Multiply both sides by 8:

[tex]\sin B=\dfrac{2\sin 50}{3}[/tex]

[tex]B=\sin^{-1}\dfrac{2\sin 50}{3}\approx 30.7[/tex]

12)

[tex]\dfrac{\sin 25}{7}=\dfrac{\sin 80}{C}[/tex]

[tex]C=\dfrac{\sin 80}{\frac{\sin 25}{7}}\approx 16.3[/tex]

Hope this helps!

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

Answer:

what are you asking the total or what

Answer:

i cant answer that i'm only in 8th

Answer:

The correct answer is 11 ft.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:

x+4-x=2x-7-x

4=x-7.

Add 7 to both sides:

4+7=x-7+7

11=x

Answer:

11

Step-by-step explanation:

On edge

Answer: 8

Step-by-step explanation:

Ella tiene que bajar los 6 pisos, mas 2.

6+2=8

Answer:

-15

Step-by-step explanation:

3(2 - 7)​

PEMDAS says parentheses first

Subtract

3 (-5)

Multiply

-15

Answer:

Move all terms not containing k to the right side of the equation.

Exact Form:

k = 43/4

Decimal Form: k = 10.75

Mixed Number Form:

k = 10 3/4

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

Answer:

1/6

Step-by-step explanation:

If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)

1/3*1/2= 1/6

Answer:

The answer is 1/6

Step-by-step explanation:

This is because the dice has 6 sides so the possibility of getting a even is 1/6

Answer:

x >-2

Step-by-step explanation:

-3 (x -3) > 5 - 5x

Distribute

-3x +9 > 5-5x

Add 5x to each side

-3x +9+5x > 5-5x+5x

2x +9> 5

Subtract 9 from each side

2x+9-9>5-9

2x > -4

Divide each side by 2

2x/2 >-4/2

x >-2

Answer:

A. x > -2.

Step-by-step explanation:

-3 (x -3) > 5 - 5x

-3x + 9 > 5 - 5x Subtract 9 from both sides and add 5x to both sides:

-3x + 5x = 5 - 9

2x > -4

x > -2.

It’s the average distance between each data value and the mean.

Answer:

one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

We have,

In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.

Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.

The intercepted arc closest to angle DRL has a measure of 18 degrees.

Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.

The measure of this arc is given as 102 degrees.

Therefore,

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

Learn more about arc lengths here:

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Answer:

Step-by-step explanation:

−189=4x−3(−4x+15)

−189=16x−45

16x−45=−189

16x−45+45=−189+45

16x=−144

16x /16

= −144 /16

x=−9

Good luck honey !!

Answer:

x=-9

Step-by-step explanation:

-3×-4= 12x -3×15=-45

4x+12x-45=-189

4x+12x=16x

16x-45=-189

16x=-144

x=-9

Answer: 8.54701% difference

Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%

Sounds like a Bayes Theorem problem.

Events:

F: Roger makes his first serve.  We'll write ~F for "not F".

P(F) = .63

P(~F) = 1 - .63 = .37

W: Roger wins the point.  We don't know P(W) but we are given

P(W | F) = .78

P(W | ~F) = .57

We're asked for

P(~F | W)

The basic conditional probability theorem is

P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)

P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)

We write

P(W) =  P(W | F) P(F) +  P(W | ~F) P(~F)

Substituting gives Bayes' Theorem:

P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) +  P(W | ~F) P(~F) )

We know all the parts so we substitute,

P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294

Let's call that 30%

Answer: 30%

Answer:

0.3

Step-by-step explanation:

We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability  of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.

Answer:

7*3=21

8-5=3

21+3-24

Step-by-step explanation:

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] = n logx

Given

[tex]3^{x}[/tex] = 8 ( take the log of both sides )

log[tex]3^{x}[/tex] = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893