5(8 - 1)?
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Answer:

20 gallons of 15% solution must be mixed with 5 gallons of 40% solution.

Step-by-step explanation:

40% of 5 gallons is 2 gallons of sugar

x represents the number of gallons of solution to be added.

15% of x is sugar.

The total amount of sugar must be equal to 20% of the final mixture.

The end mixture will be x + 5 gallons

Change percent to decimal for the equation:

.2(x +5) = .15x +2

.2x +1 = .15x +2

.2x - .15x = 2 -1

.05x = 1

x = 20

Check:

.2(20 +5) = .15(20) +2

.2(25) = 3 + 2

5 = 5 true

This means that adding 20 gallons of the 15% solution is adding 3 gallons of sugar [along with 17 gallons of water] to the 2 gallons of sugar in the original mixture.

20% of the 25 gallons, 5 gallons, of the final mixture is sugar. 80% [ 3+17 = 20 gallons] is water.

Answer:

total -70

Step-by-step explanation:

x =18

y=-28

Z = -60

An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)

The Total value is =  -70

x = 18

y = -28

Z = -60

An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)

1st an 2nd element difference is = 14 - 6 = 8

2nd and 3rd element difference is = - 6 - 2 = -8

3rd and 4th element difference is = - 2 + 10 = 8

4th and 5th element difference is = -10 + 18 = 8

The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.

Now, Proof of x,y and z = - 8

14 - 8 = 6

6 - 8 = - 2

- 2 - 8 = - 10

- 10 - 8 = - 18

- 18 - 8 = - 26

-26 - 8 = -34

Therefore, The value is = total -70

x = 18

y = -28

Z = -60

Find more information about Arithmetic Series here:

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Answer:

25 = 9y+3

Transposing (3) to the L.H.S.:

= 25-3 = 9y

= 22 = 9y

Transposing (9) to L.H.S.:

= 22÷9 = y

= 2.444444444444444.......................

= 2.44

Answer:

y=2.44......

Step-by-step explanation:

25 = 9y+3

Transposing (3) to the L.H.S.:

= 25-3 = 9y

= 22 = 9y

= 22÷9 = y

= 2.444444444444444.......................

= 2.44

Answer:

t - b >= e

Step-by-step explanation:

There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as

Budget = b

We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.

t - b >= e

You can now plug in the actual values for t and b to find out how much you would have left for entertainment.

Answer:

choice C) 1:3 and 33 1/3%

Step-by-step explanation:

Answer:

I think it's C

Step-by-step explanation:

cause 4/12 is 1:3

Answer:

x =44

Step-by-step explanation:

180 - 86 - 50 = 44

Answer: c

Step-by-step explanation: start at -4 then add 7 to that then .5

Answer:

7:04 p.m.

Step-by-step explanation:

Answer:

7:04

Step-by-step explanation

12-8 + 4

5:52 + 0:08 = 6:00

6:00 + 1:00 + 7:00

7:00 + 0.04 = 7:04

This question is incomplete, the complete question is;

Refer to the Exhibit Student Grades. A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.

The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A

Answer:

the minimum score needed to receive a grade of A is 88.51

Step-by-step explanation:

Given the data in the question;

Let x represent the grades of the students that were normally distributed with mean μ = 73 and standard deviation σ = 11.

so, The professor has informed the class that 7.93 percent of her students received grades of A

the minimum score needed to receive a grade of A will be:

P( X > x ) = 7.93 %

P( X > x ) = 0.0793

1  - P( X ≤ x ) = 0.0793

- P( X ≤ x ) = 0.0793 - 1

- P( X ≤ x ) = - 0.9207

P( X ≤ x ) = 0.9207

⇒ P( X-μ/σ ≤ x-μ/σ ) = 0.9207

so, x-μ/σ = InvNormal( 0.9207 )  

x-μ/σ = 1.41

(x - 73) / 11 = 1.41

(x - 73) = 1.41 × 11

(x - 73)  = 15.51

x = 15.51 + 73

x = 88.51

Therefore, the minimum score needed to receive a grade of A is 88.51

Answer:

30/90 or 1/3

Step-by-step explanation:

This is because we know that 6+4=10. So we know the odds of drawing a white marble first is 6/10. And if we draw one without replacing it. This makes the second time 5/9 for white and 4/9 for black. We can then multiply 6/10 by 5/9 and get 30/90 which is equal to 1/3.

Hope this helps!

Answer:

1/3

Step-by-step explanation:

P=6/10 ×5/9=30/90=1/3

Answer:

Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15

Step-by-step explanation:

The complete table:

Days                  1    2     3    4     5

Total samples  15  30  45  60   75

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of bacteria samples analyze each day = 15

The equation for the number of bacteria analyzes after x days.

B = 15x

Now,

x = 1, B = 15

x = 2, B = 30

x = 3, B = 45

x = 4, B = 60

x = 5, B = 75

Thus,

Days                  1    2     3    4     5

Total samples  15  30  45  60   75

Learn more about expressions here:

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Answer:

269gallons

Step-by-step explanation:

115/6=19.16

19.16*14=268.33 or round up to 269

Answer:

number 2 + 4i is one of the root to the quadratic equation x 2 + bx + c = 0, where b and c are real numbers. a) Find b and c b)

Step-by-step explanation:

Answer:

Discount: 26,82

Selling price: 122,18

Given:

The radical expression is

[tex]\pm \sqrt{-22}[/tex]

To find:

The simplified form of the given expression by using the imaginary unit i.

Solution:

We have,

[tex]\pm \sqrt{-22}[/tex]

It can be written as

[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex]       [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex]      [tex][\because \sqrt{-1}=i][/tex]

Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].

Answer:

3(14+19)

Step-by-step explanation:

you have to distribute the 3, so multiply it by both the 14 and the 19.

Answer:

Andre  y=5x+100

Elena y=20x+10

the rate Elena is 20

the rate  Andre is 5

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

Old plan :

Initial fee =. $29

Hourly fee = $2.50

New plan :

Initial fee = $19

Hourly fee = 3.25

Let number of hours = x

When new plan will be more expensive than old plan :

19 + 3.25x > 29 + 2.50x

3.25x - 2.50x > 29 - 19

0.75x > 10

x > 10 / 0.75

x > 13.3333

After 14 hours

The circumference is 615.44.

The formula is

R = C/(pi)*2

( 2 is square)

( I can't find the pi symbol sorry)

So meaning  in simple term, it would look like this

R = 615.44/2*(3.14)

615.44/6.28

then we divide which we will get 98

ANSWER: 98

Answer:

y=  5/3 - 2x/3

Step-by-step explanation:

Answer:

Included in the picture attached

Step-by-step explanation:

Desmos graphing calculator

Answer:

Step-by-step explanation:

Prove that The two triangles are congruent

Find the measure of angle C

Given

Opposite angles are corresponding to the sides.

Therefore the angles opposite to congruent sides are also congruent:

Answer:

a) Probability of ending up wearing 2 blue socks is 1/11.

b) Probability of ending up wearing no grey socks is 7/22.

c) Probability of ending up wearing at least 1 black sock is 5/11.

d) Probability of ending up wearing a green sock is 0.

e) Probability of ending up wearing matching socks is 19/66.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

In your sock drawer, you have 4 blue socks, 5 gray socks, and 3 black ones. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability you end up wearing: a) 2 blue socks. b) no gray socks. c) at least 1 black sock. d) a green sock. e) matching socks.

The explanation of the answer is now given as follows:

The following are given in the question:

n(B) = number of Blue socks = 4

n(G) = number of Gray socks = 5

n(K) = number of black socks = 3

Therefore, we have:

n(T) = Total number of socks = n(B) + n(G) + n(K) = 4 + 5 + 3 = 12

To calculate a probability, the following formula for calculating probability is used:

Probability = Number of favorable outcomes / Number of total possible outcomes ……. (1)

Since this is a without replacement probability, we can now proceed as follows:

a) 2 blue socks

P(B) = Probability of ending up wearing 2 blue socks = ?

Probability of first pick = n(B) / n(T) = 4 / 12 = 1 / 3

Since it is without replacement, we have:

Probability of second pick = (n(B) – 1) / (n(T) – 1) = (4 – 1) / (12 – 1) = 3 / 11

P(B) = Probability of first pick * Probability of second pick = (1 / 3) * (3 / 11) = 1 / 11

b) no gray socks.

Number of favorable outcomes = n(B) + n(K) = 4 + 3 = 7

P(No G) = Probability of ending up wearing no gray socks = ?

Probability of first pick = Number of favorable outcomes / n(T) = 7 / 12

Since it is without replacement, we have:

Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (7 – 1) / (12 – 1) = 6 / 11

P(No G) = Probability of first pick * Probability of second pick = (7 / 12) * (6 / 11) = 7 / 22

c) at least 1 black sock.

Probability of at least one black sock = 1 - P(No K)

Number of favorable outcomes = n(B) + n(G) = 4 + 5 = 9

Probability of first pick = Number of favorable outcomes / n(T) = 9 / 12 = 3 /4

Since it is without replacement, we have:

Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (9 – 1) / (12 – 1) = 8 / 11

P(No K) = Probability of first pick * Probability of second pick = (3 / 4) * (8 / 11) = 24 / 44 = 6 / 11

Probability of at least one black sock = 1 - (6 / 11) = 5 / 11

d) a green sock.

n(Green) = number of Green socks = 0

Since, n(Green) = 0, it therefore implies that the probability of ending up wearing a green sock is 0.

e) matching socks.

This can be calculated using the following 4 steps:

Step 1: Calculation of the probability of matching blue socks

P(matching blue socks) = P(B) = 1 / 11

Step 2: Calculation of the probability of matching gray socks

P(matching green socks) = Probability of matching gray socks = ?

Probability of first pick = n(G) / n(T) = 5 / 12

Since it is without replacement, we have:

Probability of second pick = (n(G) – 1) / (n(T) – 1) = (5 – 1) / (12 – 1) = 4 / 11

P(matching gray socks = Probability of first pick * Probability of second pick = (5 / 12) * (4 / 11) = 20 / 132 = 5 / 33

Step 3: Calculation of the probability of matching black socks

P(matching black socks) = Probability of matching green socks = ?

Probability of first pick = n(K) / n(T) = 3 / 12 = 1 / 4

Since it is without replacement, we have:

Probability of second pick = (n(K) – 1) / (n(T) – 1) = (3 – 1) / (12 – 1) = 2 / 11

P(matching black socks) = Probability of first pick * Probability of second pick = (1 / 4) * (2 / 11) = 2 / 44 = 1 / 22

Step 4: Calculation of the probability of ending up wearing matching socks

P(matching socks) = Probability of ending up wearing matching socks = ?

P(matching socks) = P(matching blue socks) + P(matching grey socks) + P(matching black socks) = 1/11 + 5/33 + 1/22 = (6 + 10 + 3) / 66 = 19/66

Answer:

That is an entire worksheet.  Also just download PhotoMath on your phone and it will give you the answers.

Step-by-step explanation: I'll get you started

1) 1

2) 2

3) 4

4)

5) 20

6) 1

7) 2

8) 20

Answer:

1. 1/2

2. 2/3

3. 4/7

4. 10/25

5. 20/40

6. 1/10

7. 2/6

8. 20/90

9. 27/36

10. 1/6

11. ?

12. 2/5

13. 2/3

14. 11/12

15. 17/25

16. 2/8

17. 6/7

18. 42/70

Step-by-step explanation: