A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio

A Water-salt Mixture Calls For 3/4 Cup If Salt To Be Placed In 5 1/2 Cups Of Water If I Use 1 Cup If

Answers

Answer 1

Answer:

7⅓ cups of water

Step-by-step explanation:

Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)

To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:

¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water

¾ : 5½ = 1 : x

[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]

[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]

[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]

[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]

[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]

[tex] \frac{3}{22} = \frac{1}{x} [/tex]

Cross multiply

[tex] 3x = 22 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{22}{3} [/tex]

[tex] x = 7\frac{1}{3} [/tex]

Number of cups of water to add to 1 cup if salt is 7⅓ cups.


Related Questions

all drop down menus are 0-9
use drop down menus to complete each equation so the statement about its solution is true.

Answers

Answer: 5-4+7x+1 = [7]x+[not 2]

5-4+7x+1 = [not 7]x+[any number]

5-4+7x+1 = [7]x+[2]

7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.

21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23

Answers

Answer:

Oh boy this is a lot of work

Step-by-step explanation:

So 1st thing 1st, order the numbers from least to greatest. Then, find the median (which is the middle number). After that find the 1st Quartile and 2nd Quarile (you have to find the middle of the first half and the middle of the second half if it is two numbers, add them up and divide it by 2). Also, find the greatest and the least numbers. Then make the box and whisker plot. Since i can't make the full plot in brainly i will give you the steps to make it.

Make a number line. Label it from the least number which is 21 to the greatest number which is 30.Make a box from the 1st quartile which is from 33.5 to 39.5.Split the box on number 24.Make the whiskers which mean make a straight line from the left of the box to the least number which is 21 and make another straight line from the right of the box to the greatest number which is 30.That's all the step to make a box-and-whisker plot!

Hope this helped.

An airplane is flying overhead at a constant elevation of 4090 ft. A person is viewing the plane from a position 3010 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 700 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower

Answers

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Mai says that -8 > -4 . Do you agree with her? Explain or show your reasoning.

Answers

Answer:

No

Step-by-step explanation:

-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.

Yousef typed a 36-word paragraph in 23 minute. What is his typing speed, in words per minute?

Answers

Answer:

1.5652173913 words per minute.

Step-by-step explanation:

When you divide 36 words/ 23 minutes, you get 1.5652173913.

PLEASE HELP!!! i’ll give brainliest

Answers

Answer:

x = [tex]\sqrt{164[/tex]

Step-by-step explanation:

In order to find the hypothenuse, you need to do [tex]8^{2} + 10^{2}[/tex]. Which equals 164. Therefore, since [tex]a^{2} +b^{2} =c^{2}[/tex], a=8, b=10, and c=[tex]\sqrt{164[/tex].

can someone tell me what my GPA is.

Answers

Answer:

probably 5.00

Step-by-step explanation:

maybe a 4.0 or higher cuz those r really good grades

What’s the slope of (-8,2) (1,9)

Answers

Step-by-step explanation:

equation of the line passing through two points

x-x1/x2-x1=y-y1/y2-y1

x-(-8)/1-(-8)=y-2/9-2

x+8/9=y-2/7

7x+56=9y-18

9y=7x+56+18

y=7/9x+74/9

y=mx+b m is the slope

so m=7/9

there is a short way showing slope shown in the picture

Marc eats an egg sandwich for breakfast and a big burger for lunch every day. The egg sandwich has 250 calories. If Marc has 5,250 calories for breakfast and lunch for a week in total, how many calories are in one big burger. ​

Answers

Answer:

21 calouris

Step-by-step explanation:

5250/250

Answer:

500

Step-by-step explanation:

250 X 7 = 1750

5250 - 1750 = 3500

3500 divided by 7 =500

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?

Answers

Answer:

I think it might be zero

Step-by-step explanation:

you might want to look into this all the way beforyou trust put it into*

Which 2 subjects are 2 unit apart

Answers

Answer:

I believe that your answer is C and Moon.

what are the slopes of the two lines?

Answers

Step-by-step explanation:

The slopes of two lines are equal

Solve for x:

20- 3x= -3(x-8)​

Answers

Answer:

[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]

It does not have any answer.

Compare: -7 -4


PLEASE HELP ME!

Answers

-11? What do u mean compare

Read the blog entry below and answer the question that follows:

At first I dreaded going to sixth grade camp. I was sure the food would be poisonous, I would freeze to death in my sleeping bag, and the other kids in my cabin would never talk to me. But was I wrong! In fact, it was the best week ever! I went horseback riding and participated in a ropes activity with a zip line course. After the course, I climbed to the top of a pole using only ropes and carabiner clips, and then I rappelled off the top. I even made a new best friend. Oh, by the way, the food was delicious. It tasted better than my mom's! (But don't tell her.)

Review the first sentence:

At first I dreaded going to sixth grade camp.

What is the connotation showing here?

A The author was impatient and could not wait to get to camp.
B The author was worried he/she might not enjoy camp.
C The author welcomed the opportunity to go to camp.
D The author was excited about going to camp.

Answers

The answer might be B

3x-(-54x)=45= whats the sum

Answers

Answer:

x= 15/19 = 0.789

Step-by-step explanation:

Answer: 0.789 is the correct answer plz brainliest big brother

14) What is 50% of 180?
15) What is 25% of 36?
16) What is 100% of 166?
17) What is 150% of 126?
18) What is 10% of 100?
19) What is 200% of 133?
20) What is 25% of 172?

Answers

Answer:

14. 90%

15. 9%

16. 166%

17. 189%

18. 10%

19. 266%

20. 40%

What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 20.

Answers

Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

Please help! I will give brainliest

Answers

Answer:

3

Step-by-step explanation:

as x is bigger than 0in which x is maximum and 0 is minumum

you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Multiply -2.6 (-3.4)=

Answers

Answer:

8.84

Step-by-step explanation:

Answer:

8.84

Step-by-step explanation:

What's another way to express the expression [4(17) + 3(25)] x 5?

Answers

Answer:

715

Step-by-step explanation:

[4(17) + 3(25)] x 5

(68+3*25)*5

(68+75)*5

143*5

175

Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin

Answers

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

If the quarter note equals one beat, how many beats would this note be worth?

Answers

Answer:

4 beats

Step-by-step explanation:

that is a whole note and 4 quarters are equal to one whole

Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you!

Answers

Step-by-step explanation:

Your work is correct.  First, you graphed the region.  The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).

The value of C at this point is C = 14.

Helppppppp lol idk what I’m doing

Answers

Answer:

C

Step-by-step explanation:

Step 1: Translate word to math

"Five" = 5

"times" means multiplication

"a number" = n

"plus" means addition

"3" = 3

"is" means equal

"12" = 12

Step 2: Set up equation (combine)

5n + 3 = 12

Answer:

C

Step-by-step explanation:

a number represents n

is represents =

times represents multiplication

plus represents addition

5 times n plus 3 is 12

so this means

5n+3=12

What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)?


A. y = −43 − 20
A. , y = −43 − 20

B. y = 43 − 12
B. , y = 43 − 12

C. y = −0.75 − 13
C. , y = −0.75 − 13

D. y = 0.75x +5
D. , y = 0.75x +5

Answers

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

[tex]m[/tex] is the slope of the line, and[tex]b[/tex] is the [tex]y[/tex]-intercept of the line. (The [tex]y\![/tex]-intercept of a line in a cartesian plane is the [tex]y\!\![/tex]-coordinate of the point where the line intersects the [tex]\! y \![/tex]-axis.)

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

The "rise" is the [tex]y[/tex]-coordinate of the first point minus that of the second: [tex]\text{rise} = (-4) - 8 = -12[/tex].The "run" is the [tex]x[/tex]-coordinate of the first point minus that of the second. The order of these two points should stay the same: [tex]\text{run} = (-12) - 4 = -16[/tex].

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

[tex]x = -12[/tex], and[tex]y = -4[/tex].

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].

Solve the following equation algebraically. Show your work.

6=x+23

Answers

Answer: 23+x=6

-23 -23

1x/1 -17/1

x=-17

Step-by-step explanation:

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

 -6*x-(23)=0  

Step by step explanation :

Pulling out like terms

Pull out like factors :

-6x - 23  =   -1 • (6x + 23)  

Solving a Single Variable Equation:

2.1      Solve  :    -6x-23 = 0  

Add  23  to both sides of the equation :  

                     -6x = 23

Multiply both sides of the equation by (-1) :  6x = -23

Divide both sides of the equation by 6:

                    x = -23/6 = -3.833

Therfor the answer is : x = -23/6 = -3.833

If 12 roses cost 30.4 how much will 18 roses cost?

Answers

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?

Answers

Answer:240 rotations

Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations

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