Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add?
[tex]1.( \frac{0.8}{8 + x} )( \frac{5}{100} = 1 \\ 2. \frac{0.8}{8 + x} = \frac{5}{100} \\ 3. \frac{0.8}{8 + x} = \frac{100}{5} \\ 4. \frac{0.8}{8 + x} \div \frac{5}{100} = 1[/tex]

​

Answer:

A. x < 2

Step-by-step explanation:

solution:

=2x<7-3

=2x<4

=x<2

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf p(y) = 2y^3+my^2+11y+m+3 [/tex]

We are also given that, p(y) is divisible by 2y - 1.

So, 2y - 1 is a factor of p(y).

[tex]\sf\longmapsto 2y-1=0[/tex]

[tex]\sf\longmapsto y=\dfrac{1}{2}[/tex]

So, 1/2 is a zero of p(y).

[tex]\sf\longmapsto p(1/2) =0 [/tex]

[tex]\sf\longmapsto p(y) = 2y^3+my^2+11y+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{2}\right)^3+m\left(\dfrac{1}{2}\right)^2+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

So,

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{8}\right)+m\left(\dfrac{1}{4}\right)+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = \dfrac{1}{4}+\dfrac{m}{4}+\dfrac{11}{2}+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) =\dfrac{1}{4}+\dfrac{m}{4}+\dfrac{22}{4}+\dfrac{4m}{4}+\dfrac{12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{1+m+22+4m+12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{5m+35}{4}[/tex]

[tex]\sf\longmapsto 5(m+7)=4\times0[/tex]

[tex]\sf\longmapsto 5(m+7)=0[/tex]

[tex]\sf\longmapsto m+7=0[/tex]

[tex]\longmapsto\bf m=-7[/tex]

Therefore, the value of m is -7.

Answer: 3.75

Step-by-step explanation:

5/2=2.5

1 1/2 = 1.5

1.5*2.5=3.75

What kind of question is this? To say you are in college...

Answer:

15% of 300 is 45

Answer:

300

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

Equation:

2/9.4 = x/4.7

9.4 = 9.4x

x = 1

-Chetan K

Answer:

25 ft^2

Step-by-step explanation:

In direct variation, if y varies directly with x, then the equation has the form

y = kx,

where k is the constant of proportionality. y is proportional to x.

Let's call the area y and the distance x.

Here, the area varies with the square of the distance, so the equation has the form

y = kx^2

Here, y is proportional to the square of x.

We can find the value of k by using the given information.

y = kx^2

When x = 20 ft, y = 16 ft^2.

16 = k(20^2)

k = 16/400

k = 1/25

The equation of the relation is:

y = (1/25)x^2

Now we use the equation we found to answer the question.

What is y (the area) when x (the distance) is 25 ft?

y = (1/25)x^2

y = (1/25)(25^2)

y = 25

Answer: 25 ft^2

Answer:

Answer:

51 mg

Step-by-step explanation:

A new health drink has 170​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 30mg.

The above question is calculated as:

RDA of the vitamin × 170%

The RDA for this vitamin is 30mg

Hence:

30mg × 170%

= 51 mg

Therefore, the milligrams of the vitamin that are in the​ drink is 51 mg

Answer:

H: 119 degrees.

G: 61 degrees.

M: 54 degrees.

K: 126 degrees.

Step-by-step explanation:

Answer:

?okihhligiutf rseyra qryjvgukvfyucgyivghvhgj

Answer:

Your answer is C.

Step-by-step explanation:

Answer:d.2:00am

20:40 is 8:40 pm in regular time. if you add five hours to the it will be 1:40am and add another 20 minutes it will end up being 2:00am

Answer:

x = -10

Step-by-step explanation:

Answer:

thousandths I'm pretty sure

The number of trees that died is an illustration of proportions.

The lowest value of X that is consistent with the belief that the tree died due to mishandling is 1.5

From the question, we have: 1 out of 10 died

This means that, the mean number of trees that died are:

[tex]\mathbf{\bar x =\frac{1}{10}}[/tex]

In 15 trees, the number (n) of trees expected to die is:

[tex]\mathbf{n = \bar x \times 15}[/tex]

So, we have:

[tex]\mathbf{n = \frac{1}{10} \times 15}[/tex]

[tex]\mathbf{n = 1.5}[/tex]

Hence, the lowest value of X is 1.5

Read more about mean and proportions at:

https://brainly.com/question/1139885

Answer:

A=5

Step-by-step explanation:

Answer:

A=5

Step-by-step explanation:

7+3a=12+2a

-2a -2a

7+a=12

-7 -7

a=5

The following questions are related to problems on simple fraction and arithmetic. Hence, the solutions to the questions are as follows :

1.)

Time on mathematics = 1 hour

Time on science homework = 7/8 hours

Total time spent = (1 + 7/8) = [tex] 1 \frac{7}{8}[/tex]

2.)

Total number of students = 60

Fraction of girls = 3/4

Fraction of boys = 1 - 3/4 = 1/4

Number of boys = 1/4 × 60 = 15 boys

3.)

Initial temperature = - 2°C

Final temperature = 8°C

Change in temperature = Final temperature - Initial temperature

Change in temperature = (8 - (-2)) = 8 + 2 = 10°C

4.)

Elevation of everest = 20028 feets

Elevation of dead sea = - 485 feets

Difference in elevation = (20028 - (-485)) = 20513 feets

5.)

Question is missing key values.

Learn more : https://brainly.com/question/10483418

Answer:

-11/15 is the greatest because ita in negative

Answer:

-11/15 is > -7/6

Step-by-step explanation:

Answer:

exactly 2

Step-by-step explanation:

Prime numbers, the way I was taught to answer this question, has less than 2 factors. The reason is that 1 is considered a factor. However, I think the definition has changed and a prime has exactly two factors -- 1 and itself. 11 is a prime number: only 11 and 1 will divide into it.

Answer:

C exactly two factors.

Step-by-step explanation:

its 2 factors since 1 is considered a factor and 11 is a prime number so it be 2.

Answer:

$247.50

Step-by-step explanation:

33/100x750=247.50

Since 33% in a fraction is 33/100, use that x 750 and you will get how much the computer gets marked down.

Hope this helps! Thanks.

Answer:

Step-by-step explanation:

0 = (x + 1)(x + 1)

Therefore

x + 1 = 0

x = -1 (twice)

(-1, 0), (-1, 0)

Answer:

Step-by-step explanation:

A) 120 / 2 = 60°

B) 180 - 90  60 = 30°

C) 60° same as arc length GE in part A above

D) 9 units = Rsinθ = 18sin30

Answer:

Carlton: 731 feet tall

Burj Khalifa: 2716 feet tall

Q1 Tower: 1059 feet tall

The Shard: 1017 feet tall

Willis Tower: 1450 feet tall

Gran Torre: 984 feet tall

(note: this is all rounded up answers)

Work:

223 x 3.28 = 731

828 x 3.28 = 2716

323 x 3.28 = 1059

310 x 3.28 = 1017

442 x 3.28 = 1450

300 x 3.28 = 984

Answer:

less than or equal to -11

Step-by-step explanation:

subtract 8 to both sides

k< or equal to -11

Answer:

Orange and pink, I'm not too sure

Answer:

Orange and pink.

Step-by-step explanation:

Because there shapes are same.

Answer:

b,c and d are the answers

Step-by-step explanation:k12

Expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

So, the expressions equivalent to 1.3−4x−3.7 are:

Solve: 1.3−4x−3.7

Now, calculate for - 2.4 - 4x:

(A) −0.6−4−x:

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

Therefore, expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

Know more about expressions here:

https://brainly.com/question/28934492

#SPJ2

Correct question:
Which expressions are equivalent to 1.3−4x−3.7?

Select all correct answers.

(A) −0.6−4−x

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

The length of the longer ship in terms of number of football fields is;

4 football fields

Let the length of ship 1 be x

Let the length of ship 2 be y

Total length of both ships is 2321 ft

Thus;

x + y = 2321  ----(eq 1)

The difference in their lengths is 17 ft

Thus;

x - y = 17    ----(eq 2)

Add eq 1 to eq 2 to get;

2x = 2338

Thus; x = 2338/2

x = 1169 ft

Put 1169 for x in eq 1 to get;

1169 + y = 2321

y = 2321 - 1169

y = 1152 ft

Longer ship = 1169 ft long

From conversion tables;

1 ft = 1/3 yards

Thus; 1169 ft = 1169 * 1/3 = 389.67 yards

A football field has a length of 100 yards

Then number of football fields for the length of the longer ship = 389.67/100 = 3.8967 ≈ 4 football fields.

Read more at; https://brainly.com/question/21804970

Answer:

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

Step-by-step explanation:

Let the average speed be x +20  

Then average speed from his parents' x

And the distance is S=96

Then we know :

[tex]\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing[/tex]

Justin's average speed to his parents' house:  x= 40mph

Justin's average speed from his parents' house:  x+20=60 mph

Answer:

Step-by-step explanation:

See the figure below.

This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.

The equation is

y = -2/3 x + 1

Compare it with

y = mx + b

b = 1

The y-intercept is 1, so mark 1 on the y-axis. (You already did.)

I placed a black dot there.

The slope is m.

m = -2/3

slope = m = rise/run

A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.

Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.

The line is graphed in blue.