Answer:
70 doses.
Step-by-step explanation:
First, you have to find how many bottles 7/3 is.
Simplify 7/3 to 6/3 + 1/3.
6/3 simplifies to 2, which leaves us with 2 and 1/3.
30 multiplied by 2 and 1/3 is equal to 70.
I hope this helps.
Number of doses in 7/3 bottle of medicine is 70.
Calculate the number of doses per bottle: 30 doses per bottle
Calculate the total doses in 7/3 bottles: 30 doses/bottle x 7/3 bottles = 70 doses
TRY CALCULATING A WEIGHT
When carrying a large backpack and four liters of water, Yogi weighs 225.6
pounds. If the backpack weighs 55.4 pounds and the water weighs 8.8 pounds,
what is Yogi's weight without the backpack and the water?
Choose 1 answer
82.2 pounds
161.4 pounds
211.3 pounds
272.2 pounds
289.8 pounds
HELPS ME PLEASE!
A rhombus with congruent sides is shown. Diagonals are drawn. The length of one diagonal is 6, and the length of the other diagonal is 8. The diagonals intersect to cut the lengths in half. What is the area of the rhombus? 12 square units 18 square units 24 square units 48 square units
Answer:
its 24
Step-by-step explanation:
i got it right on ed 2020
Answer:
The correct answer is C.) 24 square units
Step-by-step explanation:
(base x height)/2 → (6 x 4)/2 = 12
12 x 2 = 24
How could you represent the line(s) of symmetry, if any exist, on the given trapezoid?
A) Draw the perpendicular bisector of the congruent sides
B) Draw the perpendicular bisector of b.
C) Draw the diagonals of the trapezoid.
D) No line of symmetry exists.
Answer:
b
Step-by-step explanation:
i had this on usa test prep
A store is having a sale on books. If you buy the first book for $12, each additional book will cost $6. Which formula models this situation?
Answer:
an = 12 + (n – 1) × 6
Step-by-step explanation:
The first book is 12 dollars so that is covered.
Secondly it says n-1 to exclude the first book.
Finally it is multiplied by 6 or the price of each additional book.
Hope This Helped :)
The required formula that models the situation is y = 12 + 6x.
As given in the question, a store is having a sale on books. If you buy the first book for $12, each additional book will cost $6.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let x be the number of additional books,
And y be the total cost of the book purchased,
The first book cost $12 after that for x additional\ book cost is given as,
y = 12 + 6x
Since x = 0, 1, 2, 3, and so on.
Thus, the required formula that models the situation is y = 12 + 6x.
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A circle with radius 6 has a sector with a central area of 11/6 pi radians. what is the area of the sector?
Answer:
The area of the sector = 103.62 square unit
Step-by-step explanation:
Please kindly check the attached files for explanation
Please help me! A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inches. If a can of soup this size costs $1.99, what is the cost for each serving of soup? Round to the nearest cent.
The cost for each serving of soup is $0.62
Step-by-step explanation:
Diameter =3.5 inches
Radius = 1.75 inches
Height = 5 inches
Each serving of soup = 15 cubic inches
Cost of the can = $1.99
Volume of the can = π(1.75 x 1.75) 5
= (3.14) (3.0625) 5
= 48.08 cubic inches
For 48 cubic inches of soup the cost is $1.99
For 15 cubic inches of soup the coat will be,
Cost = (15x1.99) /48
= $0.62
The cost for each serving of soup is $0.62
Final answer:
Calculate the volume of the soup can and determine the cost for each serving by dividing the total cost by the volume per serving. The cost per serving of soup is approximately $0.62.
Explanation:
To find the volume of the soup can:
Calculate the radius by dividing the diameter by 2: 3.5 inches / 2 = 1.75 inches.Use the formula for the volume of a cylinder: V = πr²hSubstitute the values to find the volume: V = 3.142 × (1.75 inches)² × 5 inches ≈ 48.32 cubic inchesTo find the cost per serving:
Divide the cost of the can by the total volume: $1.99 / 48.32 ≈ $0.041 per cubic inch.Multiply the cost per cubic inch by the volume per serving: $0.041 x 15 cubic inches ≈ $0.62Therefore, the cost for each serving of soup is approximately $0.62, rounded to the nearest cent.
A person invest $1800 in a account that earns 2.46% annual interest. Find when the value of the investment teachers $3500
Answer:
28 years
Step-by-step explanation:
To find the number of years that the investment will reach $3500, we can use the formula of compound interest:
P = Po * (1+r)^t
where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.
In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:
3500 = 1800 * (1+0.0246)^t
1.0246^t = 3500/1800
1.0246^t = 1.9444
Using logarithm in both sides:
log(1.0246^t) = log(1.9444)
t*log(1.0246) = 0.2888
t * 0.0106 = 0.2888
t = 0.2888 / 0.0106 = 27.2453 years
So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)
This equation shows how the number of chocolates Josie has left is related to the number of gift baskets she assembles.
c = –9g + 97
The variable g represents the number of gift baskets she assembles, and the variable c represents the number of chocolates she has left. Up to how many gift baskets can Josie assemble and still have 16 chocolates left?
Josie can assemble 9 gift baskets
From the question, we are to determine up to how many gift baskets Josie can assemble and still have 16 chocolates left
To do this,
Simply substitute c = 16 in the equation and solve for g
The given equation is:
c = –9g + 97
Substitute c= 16:
c = –9g + 97
16 = -9g + 97
9g = 97 - 16
9g = 81
Divide both sides by 9:
g = 81/9
g = 9
= f(x)=-2X+13 for f(10)
Answer
F=1+1/2
Step-by-step explanation:
(10)=-2F+13
We move all terms to the left:
(10)-(-2F+13)=0
We get rid of parentheses
2F-13+10=0
We add all the numbers together, and all the variables
2F-3=0
We move all terms containing F to the left, all other terms to the right
2F=3
F=3/2
Answer:
-6
Step-by-step explanation:
f(x)=-2x+13
f(10)=-2(10)+14
f(10)=-20+14
f(10)=-6
Kaylee is working two summer jobs, making $6 per hour walking dogs and $13 per hours landscaping. Last week Kaylee worked a total of 8 hours and earned a total of. $83.
Determine the number of hours Kaylee worked walking dogs last week and the number of hours she worked landscaping last week
6:13 =83
6+13=19
1 part=83÷19
=4.37
6×4.4=26.4
13×4.4=57.2
26.4:57.2
p.s I got how much money only...
sorry
I WILL MARK BRAINLIEST FOR RIGHT ANSWERS :)
Answer:
0.17 or 17 percent
Step-by-step explanation:
You go the graph where it says urban (the question states among the urabn population and add all of the numbers together to get 126, and you go to the two year degree column (it is looking for the two year degrees from this column) and you divide that number (21) by your sum earlier to get 0.16666667 and round it up to 0.17 which is 27 percent if you want a percentage as an answer.
Approximate the sum of the first 17 terms to the
nearest tenth. Sum =
Answer:-204.8
Step-by-step explanation:
Answer:
-204.8
Step-by-step explanation:
Someone Please helpppp!!!
Answer:
2138.2 cubic meters
Step-by-step explanation:
The Volume of Sphere is given by
V = (4/3) π r³
then
V = (4/3) π r³
V= (4/3) x 3.14 x (8)³
V = 1.33 x 3.14 x 512
V = 2138.2 m³
Answer:
Step-by-step explanation:
r = 8 m
Volume V = (4/3)πr³
[tex]=\frac{4}{3}*3.14*8*8*8\\\\=\frac{6430.72}{3}\\\\=2143.57333....\\\\=2143.57cubicmeters[/tex]
Use the data on the dot plot to answer the question.
How Many Hours Do You Sleep at Night?
How many people slept for less than seven hours?
Answer:5
Step-by-step explanation:because,yes!
Answer:
5
Step-by-step explanation:
i did the quiz
Roni donates 5% of her paycheck to a local charity and puts 20% of her paycrieck
in a savings account. If Roni's paycheck is $2,295.00,
Which of the following is closest to the amount which will go to charity and
savings?
Answer:
Charity = 1114.75
Savings = 459
Step-by-step explanation:
2295 * 5% = 114.75
1114.75 to charity
2295 * 20% = 459
459 to savings
Find the value of x.
m∠IHG = 162°
m∠IHK = (4x + 4)°
m∠KHG = (8x + 2)°
Final answer:
The value of x is 1.
Explanation:
To find the value of x in the given question, we need to set up an equation involving the angles.
From the information given, we have:
m∠IHG = 162°
m∠IHK = (4x + 4)°
m∠KHG = (8x + 2)°
We can set up an equation based on the relationship between the angles:
m∠IHG + m∠IHK + m∠KHG = 180°
Substituting the given angle measures, we have:
162° + (4x + 4)° + (8x + 2)° = 180°
Combine like terms:
12x + 168 = 180
Subtract 168 from both sides:
12x = 12
Divide both sides by 12:
x = 1
Therefore, the value of x is 1.
mary had 3/4 of a container of orange juice left in the refrigerator.her brother came and drink 4/5 of it. how much orange juice did her brother drink
Answer:
12/25 of the entire container.
Step-by-step explanation:
To solve this, multiply 3/4 by 4/5. 3/4 * 4/5 = 12/25. Therefore, her brother drank 12/25 of the whole container.
20 POINTS / WILL GIVE BRAINLIEST
What is the volume of the composite figure? Leave the answer in terms of π.
______π mm3
please dont answer if you don't know it just to get the points!!
Answer: Total Volume = 15π + 18 π= 33π cubic mm
Step-by-step explanation:
What is the volume of the composite figure? Leave the answer in terms of π.
_33π mm3
We have a cone here conjoined to a semi-sphere.
so
Cone volume: C = (1/3)*(πr^2) * h
semi-sphere volume : V = (1/2)* (4/3) * (π * r^3)
r = 3 mm and h = 5mm
so C = (1/3)*(π (3)^2) * 5 = 15π cubic mm
V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm
Total Volume = 15π + 18 π= 33π cubic mm
Daisy bought A new speaker that was marked at $90.15. When she got to the register, she learned that the speaker was marked down 25%. How much money did she save?
Answer:
$3.6
Step-by-step explanation:
What does 4/9 - 2/9 equal?
Answer:
2/9
Step-by-step explanation:
If you are subtracting fractions with the same denominators (in this case 9 is the denominator for both), then you just have to subtract the numerator.
4/9 - 2/9
When you just subtract numerators, this is all you need to do:
4 - 2
= 2
2/9 is the answer.
Answer:
2/9
Step-by-step explanation:
Consider the quadratic function f(x)=83€ - 1x46,
What is the constant of the Function?
Answer:
83€ is the constant.
What is the surface area of the rectangular pyramid below?
A rectangular pyramid. The rectangular base has a length of 18 feet and width of 10 feet. 2 triangular sides have a base of 18 feet and height of 14.1 feet. 2 triangular sides have a base of 10 feet and height of 16 feet.
386.9 ft2
593.8 ft2
639.4 ft2
1,053.2 ft2
Answer:
B - 593.8 ft2
Step-by-step explanation:
I also just finish the quiz and got the question right.
To find the base: 10 x 18 = 180
There are 4 lateral face, two each are conguent:
18 x 14.1 = 253.8
253.8 divided by 2 = 126.9
126.9 x 2 = 253.8
Other conguent sides:
10 x 16 = 160
160 divided by 2 = 80
80 x 2 = 160
Finally: 180 + 253.8 + 160 = 593.8 ft2
The required surface area of the rectangular pyramid is 593.8 ft². Therefore, the correct answer is option B.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
As mentioned in the question, the rectangular pyramid has a rectangular base with dimensions of 18 ft by 10 ft, and four triangular faces. Two of the triangular faces have a base of 18 ft and a height of 14.1 ft, while the other two have a base of 10 ft and a height of 16 ft.
The area of the rectangular base is:
18 ft × 10 ft = 180 ft²
The area of each of the triangular faces is:
(1/2) × base × height
For the first two triangles:
(1/2) × 18 ft × 14.1 ft = 126.9 ft² each
For the second two triangles:
(1/2) × 10 ft × 16 ft = 80 ft² each
The total surface area of the rectangular pyramid is:
180 ft² + 126.9 ft² + 126.9 ft² + 80 ft² + 80 ft² = 593.8 ft²
So, the surface area of the rectangular pyramid is 593.8 ft². Therefore, the correct answer is option B.
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What should Maya do first?
Maya is solving the quadratic equation by completing the
square.
4x2 + 16x + 3 = 0
Isolate the variable x2
Subtract 16x from both sides of the equation.
Isolate the constant.
Factor 4 out of the variable terms.
Answer:
Its C
Step-by-step explanation:
edge 2021
Maya should first isolate the variable [tex]\( x^2 \)[/tex] before completing the square.
The steps to solve the quadratic equation [tex]\( 4x^2 + 16x + 3 = 0 \)[/tex] by completing the square are as follows:
1.*Isolate the variable - To do this, Maya should move the constant term to the other side of the equation by subtracting 3 from both sides:
[tex]\[ 4x^2 + 16x = -3 \][/tex]
2. Factor out the coefficient of -The coefficient of x² is 4. Factor out 4 from the terms involving x
[tex]\[ 4(x^2 + 4x) = -3 \][/tex]
3. Complete the square To complete the square, Maya should add the square of half the coefficient of x t both sides of the equation. Half of 4 is 2, and [tex]\( (2)^2 = 4 \),[/tex]so she should add 4 to both sides:
[tex]\[ 4(x + 2)^2 = 1 \][/tex]
After completing these steps, Maya can proceed to solve the equation by isolating x and taking the square root.
What is the value of x in the equation below? 150 = 3/5 x
Answer:
x=250
Step-by-step explanation:
150= 3/5 x
50 = 1/5 x
x=50×5
x=250
Final answer:
To solve the equation 150 = 3/5 x for x, divide both sides by 3/5, which is equivalent to multiplying by its reciprocal (5/3), resulting in x being equal to 250.
Explanation:
To find the value of x in the equation 150 = 3/5 x, you first divide both sides of the equation by 3/5 to isolate x. This can be done by flipping the fraction and multiplying, as the division by a fraction is the same as multiplication by its reciprocal.
The process is as follows:
150 = (3/5) x
150 * (5/3) = x
50 * 5 = x
250 = x
Therefore, the value of x is 250.
Solve, using a picture to assist you. Round to the nearest tenth if necessary.
If a 40-foot tall ladder is placed 15 feet from the base of a house, how high up the house will the
ladder reach?
Answer:
36.66 ft
Step-by-step explanation: You have to use the pythagorean theorem. a^2 + b^2 = c^2 (if you lean a ladder against a wall, it will make the shape of a triangle) The hypoteneuse would be 40 feet as it is the height of the ladder (the longest side). The one of the legs would be 15 ft (how far it is from the base of the house). You would then just plug the numbers in : a^2 + 15^2 = 40^2
a^2 + 256 = 1600
a^2 = 1344
a = 36.66
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet. Find the length of OP
Answer: Length OP = 82.38 feet
Step-by-step explanation: Given that the ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet.
We can find the length of OP by using trigonometry ratio since it is a right angle
NO = hypothenus and
OP = opposite
Sin 83 = OP/NO
Sin83 = OP/83
OP = 83sin83
OP = 82.38 feet
determine which of the following relations is a function
The relation between the function is X cannot repeat itself.
We have given that,
functions table
We have to determine which relation is a function.
What is the function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
The relation between the function is
X cannot repeat itself
Therefore option C is correct.
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The base of a rectangular prism is a square. The height of a prism is half the length of one edge of the base. The volume of rectangular prism is 13.5 cubic units. What are the dimensions of a prism?
Answer:
3 × 3 × 1.5
Step-by-step explanation:
Volume = base area × height
13.5 = s² × ½s
½s³ = 13.5
s³ = 27
s = 3
½s = 1.5
Dimensions:
3 × 3 × 1.5
the table represents the cost of buying a small piece of land in a remote village since the year 1990
Answer:Linear
Step-by-step explanation:
What is the value of x in the figure? Enter your answer in the box. X=
Answer:
x = 34
Step-by-step explanation:
The two angles sum to a right angle, which is 90 degrees. We can tell this from the box in the corner
x+56 = 90
Subtract 56 from each side
x+56-56= 90-56
X = 34
Answer:
x=34
Step-by-step explanation:
The angles are complementary, or they add to 90 degrees. We know this because of the little rectangle in the corner.
x+56=90
Subtract 56 from both sides
x+56-56=90-56
x=34