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:

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:

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

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:

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:

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.

[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:

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:

1 inch

Step-by-step explanation:

Equation:

2/9.4 = x/4.7

9.4 = 9.4x

x = 1

-Chetan K

Answer:

A. x < 2

Step-by-step explanation:

solution:

=2x<7-3

=2x<4

=x<2

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:

?okihhligiutf rseyra qryjvgukvfyucgyivghvhgj

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:

less than or equal to -11

Step-by-step explanation:

subtract 8 to both sides

k< or equal to -11

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:

-11/15 is the greatest because ita in negative

Answer:

-11/15 is > -7/6

Step-by-step explanation:

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:

Orange and pink, I'm not too sure

Answer:

Orange and pink.

Step-by-step explanation:

Because there shapes are same.

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:

15% of 300 is 45

Answer:

300

Step-by-step explanation:

Answer:

H: 119 degrees.

G: 61 degrees.

M: 54 degrees.

K: 126 degrees.

Step-by-step explanation:

Answer:

thousandths I'm pretty sure

Answer:

Step-by-step explanation:

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

Therefore

x + 1 = 0

x = -1 (twice)

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

Answer:

x = -10

Step-by-step explanation:

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:

$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.

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:

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