Complete Question
A veterinarian is vaccinating cattle. One bottle of vaccine is 8 ounces.
a) How many 2/3 -ounce doses can the veterinarian get out of one bottle of vaccine?
b) How many ounces of vaccine will be left in the bottle after she draws the maximum number of doses out?
Answer:
a) 5 1/3 ounces or 5.3333333333 ounces
b) 2 2/3 ounces or 2.67 ounces
Step-by-step explanation:
a) How many 2/3 -ounce doses can the veterinarian get out of one bottle of vaccine?
This is calculated as:
2/3 ounces of 1 bottle
2/3 ounces of 8 ounces
= 16/3 ounces
= 5 1/3 ounces or 5.3333333333 ounces
b) How many ounces of vaccine will be left in the bottle after she draws the maximum number of doses out?
This is calculated as:
8 ounces - 5 1/3
= 2 2/3 or 2.67 ounces
The greenhouse club is purchasing seed for the lawn in the school courtyard. The club needs to determine how much to buy. Unfortunately, the club meets after school, and students are unable to find a custodian to unlock the door. Anthony suggests they just use his school map to calculate the area that will need to be covered in seed. He measures the rectangular area on the map and finds the length to be 10 inches and the width to be 6 inches. The map notes the scale of 1 inch representing 7 feet in the actual courtyard. What is the actual area in square feet?
Answer:
The answer is 2940ft^2
Step-by-step explanation
First convert length and width to feet using the value given (7ft=1inch).
[tex]10*7= 70[/tex]
[tex]6*7= 42[/tex]
Multiply these values for the actual area.
[tex]42*70= 2940[/tex]
The actual area of the lawn is 2940ft^2
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. For each question, explain or show reasoning.
1. How many milliliters are in 3 gallons?
2. How many milliliters are in 1 quart?
(Note) Please keep reasonings simple
Answer:
There are 11,355 milliliters in 3 gallons, and 946.25 milliliters in 1 quart.
Step-by-step explanation:
If there are 3,785 milliliters in 1 gallon, multiply each side by 3 because you want the product to equal 3 gallons.3,785 times 3 is equal to 11,355, and 1 times 3 is 3. So, 3 gallons are equal to 11,355 milliliters. If there are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon, that means that there are 3,785 milliliters in 4 quarts. Now, you want to find the amount of milliliters in 1 quart so you should divide both the 3,785 and the 4 by 4. So, there are 946.25 milliliters in 1 quart.
An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit cost is given by the function C(x)=0.5x^2-330x+65,738. How many engines must be made to minimize the unit cost? Do not round your answer
Answer:
330 enginesStep-by-step explanation:
If the unit cost is given by the function C(x)=0.5x^2-330x+65,738 where x is the amount of engines made while C(x) is the unit cost. In order to know the amount of engine needed to minimize the cost;
we will first find dC/dx and equate the resulting function to zero to get x.
dC/dx = 2(0.5)x - 330
dC/dx = x - 330
since dC/dx = 0
x - 330 = 0
x = 330 (critical point)
Then find the second derivative to check if it is greater than zero.
d²C/dx² = 1
Since d²C/dx² > 0, then the cost will be at the minimum when x = 330
Substitute x = 330 into the modeled function;
C(330)=0.5(330)^2-330(330)+65,738.
C(330)= 54,450-108,900+65,738.
C(330)= -54,450+65,738.
C(330)= 11,288
Hence the amount of engines that must be made to minimize the unit cost is 330 engines and the unit cost at the minimum price is 11,288
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
Answer:
it would be first one, 150/600
Step-the by-step explanation:
Why, because 25% of 600 is 150
Answer:
first option
Step-by-step explanation:
The boiling point of water is 212∘F. In degrees Celsius, how much heat do I have to add to boil water that is already 194∘F? Use the formula C = 59(F − 32), where C represents the temperature in degrees Celsius and F represents the temperature in degrees Fahrenheit.
The amount of heat to add to boil the water is 42000J
What is specific heat capacity?The specific heat capacity of a substance is the energy required to raise the temperature of of the substance by 1°C or 1k. It is measured in J/kg/k
The amount of heat to raise temperature is given as
H= mck
where k is the temperature change.
converting 212°f to Celsius
C = 5/9( 212 -32) = 5/9 × 180
= 100°C
converting 194°f to Celsius
C = 5/9( 194 -32)
C = 5/9 × 162
C = 90°C
Therefore;
H = 4200 × 100-90
H = 42000J
Therefore, the amount of heat to boil the water is 42000J.
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Tyler is having a party at a local recreational center. The normal price to rent the space is $10.00 per adult and $5.50 per child and $15 per hour. The center agrees to rent the space for half the normal price because Tyler's father works at the center. A total of 4 adults and 16 children are going to the party. The party is planned to last 5 hours. What is the total price to rent the space for the party?
Answer:
203
Step-by-step explanation:
10x + 5.5y + 15h
x= 4
y= 16
h= 5
10(4) + 5.5(16) + 15(5)
40 + 88 + 75
203
Answer:
$93.50
Step-by-step explanation:
Ok so divide $10.00 by 2 which is $5.00 and divide $5.50 by 2 which is $2.25 and divide $15 by 2 which is 7.50. Since there was 4 adults so it cost $20.00 because 5.00X4=20.00. Since there was 16 kids going it cost $36.00 because $2.25X16=36. Since they were there for 5 hours it cost $37.50 because $7.50x5=$37.50. Add all of those up and you will get $93.50.
HOPE THIS HELPS
What is the sign of the product (3)(−25)(7)(−24)? (5 points) Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Answer:
i actually dont know im sorry
What is the quotient of 4.29 x 10^5 and 9.75 x 10^2 expressed in scientific notation?
The quotient by dividing the given numbers is required.
The quotient is 0.44 x 10³.
DivisionThe given numbers are
4.29 x 10⁵
9.75 x 10²
Let us make the numbers into whole numbers
4.29 x 10² x 10³ = 429 x 10³
9.75 x 10² = 975
So,
(429 x 10³) ÷ 975 = (39 x 11 x 10³) ÷ (39 x 25)
= (11/25) x 10³
= 0.44 x 10³
Learn more about division:
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What is the average rate of change from x = −4 to x = 1
Answer:
+5
Step-by-step explanation:
the average rate of change is adding 5
what is 4 1/5 divided by 2/3
Answer:
6 3/10
Step-by-step explanation:
Look at the picture please
Answer:
15 words per minute.
Step-by-step explanation:
We can look at the line graph, and look at the "1" at the bottom, then go up to where the line is. It's at the point "15". The unit rate is 15 words per minute.
What is the range of the given function?
Answer:
the answer is D
[tex] - 7 < y \leqslant 5[/tex]
Find the equation of a line when y-intercept is 2, and gradient is -2/3
Problem: In good weather, tomato seeds can grow into plants and bear ripe fruit in as few as 19 weeks. Lorna planted her seeds 11 weeks ago. How long must she wait before her tomatoes are ready to be picked?
Solution: The variable in question is the number of weeks until the tomatoes are ready. Call this variable w.
Answer:
the answer is w=19-11=8
Step-by-step explanation:
19-11=8
write the algebraic expression 5 more then the product of 4 and m
Answer:
4m + 5
Step-by-step explanation:
product of 4 and m: 4m
5 more than the product of 4 and m: 4m + 5
Answer: 4m + 5
1. Identify the slope and the y-intercept in
the following equation:
y = x +7
Answer:
Step-by-step explanation:
slope is 1
y intercept is 7
Janae is buying food for a party. She is buying a cheese tray for $4.50 and a few pounds of fruit for $1.99 each. Write the equation to represent the situation
Answer:
$6.49
Step-by-step explanation:
Fruit=$1.99
Cheese tray=$4.50
1.99
+4.50
=$6.49
A pair of perpendicular lines intersect at the point (5,9). Write
the equation of the line that is perpendicular to the line that
also passes through the point (-4,4)
Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
please help. im bad at math.
Find the exact value of the following.
-3(1.2) ^2 =
i need help PLZZZ ITS DUE TODAY IM SCARED IF I GET IT WRONG
Answer:
C.
Step-by-step explanation:
It's the only one that doesn't start exactly on the line of (1,5) but it's starts on (1,4.50) to show 4.50 per pound.
HELP PLZZZZZZZZ!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
ASAP!!!!
how do i write the intercept form equation
y=a(x-p)(x-q)
when i know a=-16
p=-0.12
q=1.12
Answer:
y = -15x - 3.04
Step-by-step explanation:
1) First place down what you are given.
Y = a(x - p) (x - q)
2) Then Substitute.
a = -16
p = -0.12
q = 1.12
y = (-16)(x - (-0.12))(x - (1.12)
3) Do order of operations (PEMDAS)
y = (-16)(x + 0.12)(x - 1.12)
Now distribute
y = − 16 x − 1.92 + (x - 1.12)
y = -16x - 1.92 + x - 1.12
y = -16x + x - 1.92 - 1.12
y = -15x - 3.04
4)
You answer is:
y = -15x - 3.04
what property is y(x+5)
v=1/3 pi r squared h what is h?
Step-by-step explanation:
V = 1/3 pi r^2 h
root(V ÷ 1/3 pi) = h
Find the inverse: y = 0.3ˣ
If you could explain the steps too that would be really helpful! :)
Answer:
y = 0.3x
Step-by-step explanation:
Simplifying
y = 0.3x
Solving
y = 0.3x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 0.3x
The answer to this question plz
HELP!!!!!BRAINLIEST
PLEASE SHOW YOUR WORK ON A PAPER BRAINLIEST!!!!!!!!!!!!!!!!!!
Answer: Noah's mixture would be more flavorful and fizzy because his ratio of water and fizz powder aren't to off (not a large ratio gap). Andre's orange fizz would be a little more watered down making it less fizzy and less flavorful because 8 cups were added instead of 6 or 7 cups of water. Also Noah would have less drink made them Andre because he only used 6 cups of water.
Step-by-step explanation:
12 divided by 3/ 4 !
Answer:
16
Step-by-step explanation:
You are at a football game. You decide to buy a hamburger for each of your
5 friends at the game. You also bought a soda for yourself for $4. You spent
a total of $21.50. How much do the hamburgers cost? WHICH EQUATION
FITS THIS SCENARIO?
4x + 5 = 21.50
21.50x + 5 = 4
5x - 4 = 21.50
5x + 4 = 21.50
Answer:
4x+5=21.50
Step-by-step explanation:
Answer:
5x-4=$21.50
Step-by-step explanation:
Hope that this helps!
PLZ HELP ME! I WILL GIVE BRAINLIEST!!! PLZ ONLY ANSWER IF YOU KNOW!!!
Answer:
Yes they are the same (equivalent)
Step-by-step explanation:
replace y with 2