Answer:
The answer is 37.5%
Answer:
37.5%
Step-by-step explanation:
add 15+20 =40 15/40 *100(we use 100 because a percent is always out of 100.) 0.375*100. = 37.5
A patient takes vitamin pills. Each day he must have at least 420 IU of vitamin A, 5 mg of vitamin
B1, and 60 mg of vitamin C. He can choose between pill 1, which contains 120 IU of vitamin A, 1
mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of
vitamin B7, and 15 mg of vitamin C. Pill 1 costs 30¢, and pill 2 costs 60¢. Complete parts a and b
below.
Final Answer:
Pill 1 is more cost-effective, meeting or exceeding daily requirements for vitamins A, B1, and C with lower cost (30¢) compared to pill 2 (60¢). It provides 480 IU of vitamin A, 5 mg of vitamin B1, and 60 mg of vitamin C with fewer pills, making it the optimal choice.
Step-by-step explanation:
The patient's daily requirements are 420 IU of vitamin A, 5 mg of vitamin B1, and 60 mg of vitamin C. Let's evaluate the contribution of each pill to these requirements.
Pill 1 provides 120 IU of vitamin A, 1 mg of vitamin B1, and 10 mg of vitamin C.
Pill 2 provides 60 IU of vitamin A, 1 mg of vitamin B7, and 15 mg of vitamin C.
To meet the vitamin A requirement, the patient can take 4 pills of type 1 (4 * 120 IU = 480 IU), while it would take 7 pills of type 2 (7 * 60 IU = 420 IU). So, pill 1 is more efficient for meeting the vitamin A requirement.
For vitamin B1, both pills contribute 1 mg each, and since the requirement is 5 mg, the patient needs to take 5 pills of either type.
For vitamin C, the patient needs 60 mg. Pill 1 provides 10 mg per pill, so 6 pills are needed (6 * 10 mg = 60 mg). Pill 2 provides 15 mg per pill, so 4 pills are needed (4 * 15 mg = 60 mg).
Considering the cost, pill 1 costs 30¢, and pill 2 costs 60¢. Since both pills are equally effective in meeting the B1 requirement and pill 1 is more efficient for vitamin A and equally efficient for vitamin C, the patient should choose pill 1 due to its lower cost.
If you have 8 quarters and 9 dimes, what is the value of the
total amount in dollars?
Answer: $2.90
Step-by-step explanation:
Each quarter is worth 25 cents so we do 8x25 which is 200 and we do 9x10 which is 90 and when we add them up we get 290 cents which is 2.90 dollars
Answer:
$2.90
Step-by-step explanation:
8 times 25 equals 200 ($2)
9 times 10 equals 90 ($0.90)
please help I mark brainliest
Answer:
graph a
Step-by-step explanation:
y has to be less than the line
postive slope
the only graph that has both is graph a
What is the inverse of f(x) = 3x + 6 and is it a function?
answer:
the answer would be x-6/3, yes
The inverse of the function f(x) = 3x + 6 is f^-1(x) = (x - 6) / 3. This inverse is also a function, as it satisfies the vertical line test.
Explanation:The inverse of a function f(x) is typically denoted as f-1(x). To find the inverse of the function f(x) = 3x + 6, you follow two main steps: firstly, replace f(x) with y, yielding y = 3x + 6; secondly, swap x and y to get x = 3y + 6 and solve for y to get the inverse function.
Getting the inverse starts by subtracting 6 from both sides of the equation, which gives x - 6 = 3y.
Dividing through by 3 gives (x - 6) / 3 = y, or equivalently, y = (x - 6) / 3. So, the inverse of the function is f-1(x) = (x - 6) / 3.
This inverse is indeed a function as it passes the vertical line test. That is, any vertical line drawn through the graph of this function will touch the graph at no more than one point, showing that for every input x, there is exactly one output y.
Learn more about Inverse Function here:https://brainly.com/question/35491336
#SPJ3
Kendall is wrapping a basketball as a gift for her friend. If the diameter of the basketball is 10 inches, how much wrapping paper will Kendall need to completely cover the basketball?
A.
31.4 square inches
B.
314 square inches
C.
1,256 square inches
D.
100 square inches
Answer:
314 square inches long
Using ur knowledge of fractions and the second power law, explain
Answer:
1
Step-by-step explanation:
according to the law of exponents a0 = 1. Similarly b0=1
Any number with an exponent 0 will be a 1.
An item was originally priced at $6, but you used a coupon and bought it for $4.80. What percent was the coupon you used?
Answer:
22.22% i think
Step-by-step explanation:
Answer:
The coupon was 20% off
Step-by-step explanation:
What’s the correct answer for this question?
Answer:
Step-by-step explanation:
ΔABC ≅ΔFDE. So corresponding side and angles are equal.
∠ACB = ∠FED
∠ACB = 34.7
Suppose the diameter of a circle is 16 units. What is its circumference?
Answer:
3.14 x 16 = 50,24unit
Step-by-step explanation:
The circumference = π x the diameter of the circle (Pi multiplied by d.
Simply divide the circumference by the π, then you will have the diameter of the circle.
Help please
Use your knowledge of scale drawings and image sizes to fill in the missing information on the table.
Answer: the first one
Step-by-step explanation: 29/90 as in fraction
Recall that the scores in Mr. Young’s class had a mean of 78 and a standard deviation of 8. About what percent of students scored between 78% and 94%?
A. 47.5%
B. 34%
C. 13.5%
D. 68%
Answer:
B. 34%.
Step-by-step explanation:
94 - 78 = 16 which is 2 times the standard deviation from the mean.
For a normal distribution this is 34% of the total students.
A cone has a volume of 75 pie and a height of 9 cm.
What is the cone's diameter?
Enter your answer in the box.
Answer:
Volume of the cone is given by
[tex]V = \frac{\pi {r}^{2}h }{3} = 75\pi[/tex]
[tex] = > \frac{\pi {r}^{2}9 }{3} = 75\pi[/tex]
[tex] = > {r}^{2} = \frac{75\pi}{\pi \times 3} = 25[/tex]
[tex] = > r = \sqrt{25} = 5[/tex]
Diameter of the cone = 2×5 cm = 10 cm
A road is inclined to the horizontal at an angle of 12°30'. For every 70 feet of roadway, how much does the road actually rise?
15.2 ft
15.3 ft
15.5 ft
Step-by-step explanation:
15.3 ft is right..................
Answer:
15.5 ft
Step-by-step explanation:
Sales Tax in the state of Mathland is 8.5%. After buying school supplies, your total was $81.42, before tax. How much do you end up paying including tax? (SHOW WORK.)
A: $6.92
B: $74.50
C: $88.34
Answer:
A
Step-by-step explanation:
8.5% of 81.42
8.5 81.42 692.07
------- X ---------- = -------------
100 1 100
divide 692.07/100 which gives you 6.9207
if you round it to the nearest hundredth you get 6.92
2x+8y=34
10y+2x=40 solve for y and x
Answer:
Step-by-step explanation:
Use the Pythagorean theorem to find a whole number estimate of the length of the unknown side of the right triangle. The length of the unknown side of the triangle is approximately cm.
Answer:
12 cm
Step-by-step explanation:
Leg of one side = 5 cm
Hypotenuse = 13cm
According to the theorem,
A^2 + B^2 = C^2
5^2 + B^2 = 13^2
25 + B^2 = 169
Subtract 25 form both sides,
B^2 = 169 - 25
B^2 = 144
B = sqrt( 144 )
B = 12
Done!
What is the equation of a line with a -y-intercept of -5 and a slope of 8.
a. y=8x+5
b .y=8x-5
c. y=-5x+8
d. y=-5x-8
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 8 and c = - 5, thus
y = 8x - 5 → B
Answer:
B
Step-by-step explanation:
y = mx + b
m represents slope and b is the y intercept
so 8x is mx in this equation and -5 is b
Can the sides of a triangle have lengths 1, 15 and 1
Answer:
No
Step-by-step explanation:
In a triangle sum of any two sides is always grater than the third side.
Here,
[tex]1 + 1 = 2 \ngtr 15 [/tex]
Hence, 1, 15, 1 can't be the sides of a triangle.
Find the volume of the composite solid. Round your answer to the nearest tenth.
Answer:
67.0 cm³
Step-by-step explanation:
The composite shape is a hemisphere of radius 2 atop a cylinder of height 4 and radius 2. The volume formulas for a cylinder and a sphere can be used to find its volume. (Dimensions are in centimeters.)
HemisphereThe formula for the volume of a hemisphere is half that for the volume of a sphere:
V = (1/2)(4/3πr³) = 2/3πr³
For a radius of 2 cm, the volume is ...
V = 2/3π(2 cm)³ = 16/3π cm³
CylinderThe formula for the volume of a cylinder is ...
V = πr²h . . . . . . for radius r, height h
For the given dimensions, the volume is ...
V = π(2 cm)²(4 cm) = 16π cm³
TotalThe total volume of the solid is the sum of these volumes:
total = hemisphere volume + cylinder volume
total = ((16/3)π +16π ) cm³ = (64/3)π cm³ ≈ 67.0 cm³
The volume of the composite solid is about 67.0 cm³.
Find the GCF for the following list.
60, 14, 21
The GCF is
. (Simplify your answer.)
Answer:
The GCF if 60, 14, 21 is 1
Given that a randomly chosen student participates in
band, what is the probability that the student also
participates in track?
Answer:
9/33
Step-by-step explanation:
Answer:
9/33
Step-by-step explanation:
Suppose you received $10 from your grandmother for your birthday. You spent $4 on snacks. Using addition how would you write an equation to represent this situation?
Answer:+10-4
Step-by-step explanation:
This would be the equation to represent this situation because you first got $10, then you spent $4 on snacks.
can someone please help? will give brainlest!
Answer:
Step-by-step explanation:
Rounding to nearest tenth:
i) if number in 100th place is 5,6,7,8 or 9, then add 1 to number in the tenth place and after adding remove all the digits right to it.
EG: 4.567 = 4.6
ii) if number in 100th place is 0,1,2,3 or 4, then write down number in the tenth place as it is and then remove all the digits right to it.
Eg: 4.523 = 4.5
a) 0.32 = 0.3 (b) 3.87 = 3.9 (c)0.709 = 0.7
d) 12.75 = 12.8 (d)12.745 = 12.8 e) 645.059 = 645.1
If k(x) = 2x2 – 31x, then k(9) is
Hope this will help u..:)
24 es 4 veces más grande que k.
Encuentra el valor de k.
Answer: k = 6
Step-by-step explanation: 24/4=6
A triangular flag has a base of 1 foot and a height of 1.5 feet. What is its area?
Answer:
0.75
Step-by-step explanation:
A=bh/2
1x1.5=1.5
1.5/2=0.75
11.
Paula designed a three-dimensional scale model of a department store. The volume of
the scale model was 35 cubic feet. The ratio of the dimensions of the model to the
dimensions of the store was 1:20. Determine the volume of the actual department
store that Paula planned to build.
Answer:
V = 280000 cubic meters
Step-by-step explanation: Given that the volume of the scale model was 35 cubic feet. The ratio of the dimensions of the model to the
dimensions of the store was 1:20.
Let the volume of the actual department store that Paula planned to build be V. Then
35/V = (1/20)^3
35/V = 1/8000
Cross multiply
V = 8000 × 35
V = 280000 cubic meters
Answer: The volume of the actual department store is 280,000 cubic feet
Step-by-step explanation: The question has provided the volume of the model built by Paula, and that is 35 cubic feet. The volume of a three sided solid is given as;
Volume = L x W x H
This can also be conveniently expressed as;
Volume = L³ (which implies that the solid has all sides measuring the same for simplicity's sake)
However, given that the ratio of the model to that of the actual store is 1:20, we simply use the given ratio to substitute for the value of the side of the actual store, hence we now have dimension as;
Volume = L³
35 = L³
Add the cube root to both sides of the equation
∛35 = L
The dimension of the actual store which is an enlargement by a ratio of 1:20 now becomes;
Actual store = 20 x L
Actual store = 20 x ∛35
Actual store = 20 x 3.27106631018859
Actual store = 65.42132620377179
Therefore the volume of the actual store is given as;
Volume = L³
Volume = 65.42132620377179³
Volume = 280000
Therefore the volume of the actual store is 280,000 cubic feet
what’s the missing angle
Answer:
86°
Step-by-step explanation:
The total of all of the angles needs to add up to 180 degrees.
45 + 49 = 94
180 - 94 = 86 degrees
Answer:
86
Step-by-step explanation:
Which graph shows the solution to the equation 4X-3 = 8?
The solution of equation is [tex]x=2.75[/tex] , which is shown in the graph.
Linear equation :The given equation is,
[tex]4x-3=8[/tex]
To solve above linear equation, shift all constant on one side and variable on other side of equation.
[tex]4x-3=8\\\\4x=8+3\\\\4x=11\\\\x=11/4=2.75[/tex]
Here graph is attached below which shows the solution of above equation.
Learn more about the linear equation here:
https://brainly.com/question/14323743
Solve these problems:
A) 4y + 3 = 19
B) (1/2)n-3=5
Step-by-step explanation:
a 4y=19-3
4y=16
y=16/4
y=4
b. 1/2n=5+3
1/2n=8
n=8×2 as 1/2 become on right so it become 2
n=16
Step-by-step explanation:
[tex]4y + 3 = 19 \\ 4y = 19 - 3 \\ 4y = 16 \\ \frac{4y}{4} = \frac{16}{4} \\ y = 4[/tex]
[tex]( \frac{1}{2} )n - 3 = 5 \\ \frac{n}{2 } - 3 = 5 \\ \frac{n}{2} = 5 + 3 \\ 2 \times \frac{n}{2} = 8 \times 2 \\ n = 16[/tex]