4. A bottle contains 68 teaspoons of solution. The solution drops out of the bottle
at a constant rate during a 102-minute experiment. The bottle is completely empty
just as the experiment ends. At what rate does the number of teaspoons of
solution in the bottle change?

Answers

Answer 1

Answer:

The rate of solution change is 2/3 teaspoons per minute

Step-by-step explanation:

Here, we want to calculate rate

From what we have in the question,

68 teaspoons of solution dropped out entirely within 102 minutes

So the rate is takes to drop out per minute will be:

68/102 = 2/3 teaspoon per minute


Related Questions

How would you graph the solution to 3x ≤ -15?

Answers

Answer:

I would put a shade over the region of x <= -5.

Step-by-step explanation:

The look of the graph would be a shaded rectangle over the line x = -5.

Hope this helped!

Answer:

Draw a closed circle on -5 and shade to the left

Step-by-step explanation:

I need help big time ​

Answers

2x-1
2(-1)-1 = -2-1 = -3
2(0)-1 = 0-1 = -1
2(1)-1= 2-1 = 1
2(2)-1=4-1= 3

1. You get paid $8.00 an hour to babysit. They will increase your pay 25% because
you are working during the lowa Game. (D)

Answers

Go with d it should be wright if not sorry

4. Estimate.
12 x 11
36 x 29
84 x 27

Answers

Step-by-step explanation:

12*11=132

36*29=1044

84*27=2268

Need help will mark brainliest

Answers

Answer:

x=18

Step-by-step explanation:

Add up all the angles and then equal them to 180

6x+3x+x=180 Simplify!

10x=180

x=18

Rotate this figure 90 degrees counterclockwise.
pls answer quick 20 points :D

Answers

Answer: It's number 4.

PLEASE HELP QUICK
The costume jewelry and accessories for the show are bought from sales racks at two different stores on different days. Use x to represent the price of each item on the sales rack at the first store and y to represent the price of each item on the sales rack at the second store.

On the first day, the students spent $30 on 4 items from the first store and 7 items from the second store. On the second day, the students spent $22 on 3 items from the first store and 5 items from the second store. On the third day, the students need to buy 10 items from the first store and 17 items from the second store.

What is the amount of money the students will need on the third day? Find your answer by creating and solving a system of linear equations based on the first day and the second day. Explain your reasoning.

Answers

Answer:

74

Step-by-step explanation:

Using linear equations, we are given two equations from the questions:

4x +7y=30 from day one and 3x +5y=22 from day two

Multiply the first equation by 3 and second by 4 giving us

12x +21y=90 and 12x +20y=88. Minus both equations.

12x - 12x +21y - 20y= 90 - 88, Gives you y=2,

You can now use the value of y to find x.

4x + 7y = 30

4x + 7(2)= 30

4x + 14= 30. Minus 14 on both sides giving you

4x=16. Divide both sides by 4.

x=4

Now use both values to find how much money is needed on the third day.

10x + 17y

=10(4) + 17(2)

=40 +34

=74

1/2 (X+6)= 18 what is the value of x ​

Answers

Answer:

The absolute value for x would be 30

X=30

Tell whether the equation is linear. If so, enter the equation in standard form and give the values of A,B, and C.
1. y = 4x +9
2. 5x =6y - 2 ​

Answers

Answer:

1. A=1, B=4, C=9

2.A=5 B=6, C=-2

Brantley tosses a ball out of a window that is 75 feet in the air. Its initial velocity is 12 feet per second. The path of the ball is represented by h=-16t^2+12t+75. How long does it take for the ball to hit the ground to the nearest hundredth?

Answers

Answer:

[tex]t = 2.57[/tex]

Step-by-step explanation:

Given

[tex]h=-16t^2+12t+75[/tex]

Required

Determine the time to hit the ground

The ground is at point 0.

So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t

[tex]0=-16t^2+12t+75[/tex]

Multiply through by -1

[tex]0=16t^2-12t-75[/tex]

Reorder

[tex]16t^2-12t-75 = 0[/tex]

Solve using quadratic formula:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 16; b = -12; c = -75[/tex]

[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]

[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]

[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]

[tex]t = \frac{12\±70.31}{32}[/tex]

Split:

[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]

[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]

But time (t) can't be negative;

So, we make use of only

[tex]t = \frac{82.31}{32}[/tex]

[tex]t = 2.57[/tex]

Hence, the time to hit the ground is 2.57 seconds

−5x+13y=−7
5x+4y=24

x=
y=

Answers

Answer:

Using eliminating method then adding equation 1 and 2 give

X= 4and y =1

please help its urgent​

Answers

9514 1404 393

Answer:

  they are in the same place on the number line

Step-by-step explanation:

-(-a/b) = a/b, so will be plotted on the number line in exactly the same place as a/b.

A one-minute advertisement on a local television station during prime time (8-10 p.m. on weeknights) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis and Giant Ones

Answers

thats a nice one joe i was tinkg inksjsjssisb uyea

what about this one? can this be answered please? : )

Answers

Answer:

c. y=7x-2

Step-by-step explanation:

hope this can help

Sandra eats about 2000 calories per day with LaTeX: \frac{1}{4}1 4 of her calories from fat and LaTeX: \frac{1}{5}1 5 from carbohydrates. How many total calories does Sandra get from both fat and carbohydratesSandra eats about 2000 calories per day with LaTeX: \frac{1}{4}1 4 of her calories from fat and LaTeX: \frac{1}{5}1 5 from carbohydrates. How many total calories does Sandra get from both fat and carbohydrates

Answers

Answer:

Calories from both fat and carbohydrates = 900 calories/day

Step-by-step explanation:

Number of calories eaten by Sandra per day = 2000 calories/day

Calories from fat = [tex]\frac{1}{4}[/tex] of the total number of calories per day

OR

Calories from fat = [tex]\frac{1}{4}\times 2000 = 500\ calories/day[/tex]

Calories from carbohydrates = [tex]\frac{1}{5}[/tex] of the total number of calories per day

OR

Calories from carbohydrates = [tex]\frac{1}{5}\times 2000 = 400\ calories/day[/tex]

To find the total number of calories from both fat and carbohydrates, we need to add the calories from fat and calories from carbohydrates as calculated above.

Calories from both fat and carbohydrates = Calories from fat + Calories from carbohydrates = 500 + 400 = 900 calories/day

Helpp with bothhhh!!!!!

Answers

Answer:

3. x = 5

4. -5 1/25

Step-by-step explanation:

-3x+5=-10

Subtract the 5 from both sides...

-3x = -15

Divide by -3

x = 5

For 4, it's just multiplying.

-2 4/5 in improper form is -14/5

1 4/5 in improper form is 9/5

-14/5 x 9/5 is -126/25

-126/25 can be -5.04 or -5 1/25.

Answer:

3. a (x=5)

4. -126/25

Step-by-step explanation:

3. -3x+5=-10

-3x=-10-5

-3x=-15

x=5

4.  -(-2 4/5) x 1 4/5

(-14/5) x 9/5

= -126/25

Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?

Answers

Answer: 5.86yd

Step-by-step explanation:

From the question, we are informed that Esteban stands on a dock 1.25 yd above the water and that a fish swims below Esteban at -4.61 yd from the surface of the water.

The distance between Esteban and the fish can be calculated by subtracting -4.61 yd from 1.25 yd. This will be:

= 1.25 yd - (-4.61 yd)

= 1.25 yd + 4.61 yd

= 5.86 yd

the tens digit is two less than the ones digit and sum of the digits is 8.

Answers

The answer is 35 !!!

Answer:

35

Step-by-step explanation:

The graph of a function f is shown below.
Find f(-2).

Answers

Answer:

-4

Step-by-step explanation:

The value of the function evaluated at [tex]x = -2[/tex] is -4.

The horizontal axis represents the set of the domain of the function, whereas the vertical axis is for the set of the range of the function. In this exercise, we need to need to find the value on the vertical axis that corresponds with a given value of the horizontal axis ([tex]x = -2[/tex]).

By direct inspection, we conclude that [tex]f(-2) = -4[/tex].

We kindly invite you to see this problem related to functions: https://brainly.com/question/12431044

Write an equation of a line that safely lands the plane
PLEASE HELP!!!
LOTS OF POINTS
GIVE AN EXPLANATION FOR ME!!!!

Answers

Wait I’m confused what exactly are we suppose to do like what do u mean
Find the slope.
m=(y2-y1)/(x2-x1)
Plug in the y-coordinates of each of the ordered pairs. That is 4 and -2
Plug in the x-coordinates of each of the ordered pairs. That is -4 and 5
m=(4-(-2))/(-4-5)
m=6/-9
m=-2/3
Now that you know the slope, you want to take one of the ordered pair and plug them into the equation y=mx+b. I’ll take (-4,4). You want to find the b.
4=-2/3(-4)+b
4=8/3+b
4/3=b
So, the slope is -1/3 and the y-intercept is 4/3.
Equation: y=-2/3x+4/3

Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold.

Answers

Answer:

bag of chips - 20 ; number of fruit snacks - 5 .

Step-by-step explanation:

Solve the equation. m + (-22) = -25

Answers

Answer:

m=-3

Step-by-step explanation:

move the -22 to the other side by adding 22 on both sides:

m-22+22=-25+22

Simplify:

m=-3

Answer: m=-3

Hope this helps!

The Captain of a boat is steering at
a heading of
327° at 18 mph.
The current is flowing at a rate of 4mph
at a heading of 60°. Find the course to the
nearest deguse of the boat.

Answers

Answer:

59.97 º at 18.23 mph

Step-by-step explanation:

Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?

Answers

Answer:

2,000 plus a 3% commision :))

Step-by-step explanation:

For f(x) = -x + 8, which statement is true?

Answers

The answer is B I took the test

Entrance to a skatepark costs $6 per vehicle, plus $2 per person in the vehicle.

Is the relationship between the number of people and the total entrance cost a proportional relationship? EXPLAIN HOW YOU KNOW.

Hint: Create a table to organize the information.​

Answers

Answer:

Yes, it is a proportional relation ship because 6 and 2 are equivalent to each other.

Step-by-step explanation

()()PLZZ HELP MY PARENTS SAID I CANT CELEBRATE THANKSGIVING IF THI ISNT DONE PLZZZ HELP IM GIVING 25 DOLLAR AMAZON CARD TO WHOEVER HELP AND DOES ALL OF THESE + 100 POINTS +BRAINLIEST

Answers

Send me your email and I’ll email it to you.

What is the x intercept of 4y+9x=18

Answers

Answer:

Step-by-step explanation:

step 1. 4y+9x=18

step 2. 4y=-9x+18

step 3. idk

Answer:

(2,0)

plug 0 for y and solve

Find the slope and y-intercept for the table.



slope:

y-intercept:

Answers

Answer:y is 60 slope is -10

Step-by-step explanation:

Which graph shows a function with a zero of –5?

Answers

Answer:

Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.

Step-by-step explanation:

Where’s the graph.........
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