Answer:
2,400h
Step-by-step explanation:
You multiply the amount of skiers per hour (2,400) by the amount of hours (h).
An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides to add servings of banana splits (S) and bacon rolls (B) to his diet. Each serving of S is 1,000 calories and each serving of B is 500 calories. Bob has a history of health problems and his doctor has recommended that he needs to control his cholesterol and sugar levels in his food intake. Each serving of S contains 1 unit of cholesterol and 3 units of sugar. Each serving of B contains 4 units of cholesterol and 1 units of sugar. His doctor recommends that his cholesterol be no larger than 10 units and his sugar levels should be at least 2 units and no larger than 9 units. What should be the objective function (C) to select the optimal choice of Sand B in order for Bob to ingest as many calories as possible? A. C = 105 + 5B B. C = 1000S + 500B C. C = S+BD. None of the above
Answer:
[tex]C = 1000S + 500B[/tex]
Step-by-step explanation:
Given
[tex]S = Banana\ Splits[/tex]
[tex]B=Bacon\ Rolls[/tex]
Reading through the question, we have:
Number of calories per serving:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Let
[tex]x = Cholesterol[/tex]
[tex]y =Sugar[/tex]
So, we have:
Each serving of S
[tex]x \to 1S[/tex]
[tex]y \to 3S[/tex]
Each serving of B
[tex]x \to 4B[/tex]
[tex]y \to 1B[/tex]
Recommendation
[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol
[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar
So, the constraints are:
[tex]S + 4B \le 10[/tex]
[tex]3S + B \ge 2[/tex]
[tex]3S + B \le 9[/tex]
Recall that the calories per serving is:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Hence, the objective function is:
[tex]C = 1000S + 500B[/tex]
Find the area!
- please help!
Answer:
25 x 20 = 500
half of 25 = 12.5
12.5^2
156.25 x 3.14 = 490.625
490.625 divided by 2 = 245.3125
245.3125 + 500 = 745.3125 cm2 is your answer.
1. The table below shows Vanessa's height in inches for two different years.
YEAR (x) 2000&2005
HEIGHT (y) 48 inches 54 inches
Which is a correct conclusion about the rate of change shown in the table?
A. Vanessa grows about 41.7 inches per year. B. Vanessa grows about 6 inches per year.
C. Vanessa grows about 1.2 inches per year.
D. Vanessa grows about 83 inches per year.
Answer:
Option C, Vanessa grows 1.2 inch per year
Step-by-step explanation:
Based on the given information it is clear that from 2005 to 2000 i.e in 5 years height of Vanessa has increased by 6 inch i.e from 48 inch to 54 inch.
If we estimate the per year growth, we can deduces that Vanessa grows by[tex]\frac{6}{5} = 1.2[/tex] inch.
Hence, option C is correct
Vanessa grows 1.2 inch per year
A bakery makes a $5 profit for each cake it sells. It makes
a $6 profit for each pie it sells. The expression 5c + 6p
represents the profit for selling c cakes and p pies. How
much profit is made if the bakery sells 10 cakes and 7 pies?
Answer:
It’s 92
Step-by-step explanation:
$5 x 10 cakes= 50
$6 x 7 pies= 42
50 x 42= 92
tals, we werest Deus
-
In what time will 5120 amount to 7290 at 12 1/2% per annum compounded annually?
Answer:
The time will be "3 years".
Step-by-step explanation:
The given values are:
Principle,
P = 5120
Amount,
A = 7290
Rate,
r = 12.5
Time,
n = ?
As we know,
⇒ [tex]A = P[1+\frac{r}{100} ]n[/tex]
On substituting the values, we get
⇒ [tex]7290=5120[1+\frac{12.5}{100} ]n[/tex]
On applying cross-multiplication, we get
⇒ [tex]\frac{7290}{5120}=[1+\frac{125}{100}\times 100 ]n[/tex]
⇒ [tex]\frac{9}{8}\times 3=[8+\frac{1}{8} ]n[/tex]
⇒ [tex]n = 3 \ years[/tex]
10 ft
5 ft
2 ft
Find area!!!
Answer:
Step-by-step explanation:
Volume = Length x width x height
length (10)
width (2)
height (5)
10 x 2 x 5 = 100
Area = Length x width
10 x 2 = 20ft
Find the circumference
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
diameter = 12cm
radius(r) = diameter ÷ 2radius(r) = 12 ÷ 2radius(r) = 6cmC = 2πr= 2 × 22/7 × 6Circumference = 37.7 cmAt a glass vase factory, 2 out of the last 20 vases produced were chipped. Considering this data, how many of the next 10 vases would you expect to be chipped?
2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.
I would expect 1 out of the next 10 to be chipped.
Answer:
1
Step-by-step explanation:
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.
Answer:
3rd Answer =Option A is the Correct Answer
Step-by-step explanation:
Hi!
3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.
4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.
Hope this helps! I would appreciate brainliest, if not that's okay!!
Fill in the table using this function rule.
y=5x-1
The table values with the function y = 5x - 1.
x y
-1 -6
0 -1
1 4
2 9
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 5x - 1
For x = -1,
y = -5 - 1 = -6
For x = 0,
y = - 1
For x = 1,
y = 5 - 1 = 4
For x = 2,
y = 10 - 1 = 9
Thus,
The table values are given above.
Learn more about functions here:
https://brainly.com/question/28533782
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PLEASE HELP, IT WOULD BE GREAT IF SOMEONE COULD ANSWER QUICKLY AND CORRECTLY!!!!
DONT LINK ANY FILES!!!
Which expression represents the perimeter of the figure below?
Answer:
5x+2y+z
Step-by-step explanation:
just count all of the variables
Answer:
C
Step-by-step explanation:
If the gradient of the line segment joining (-3,7 ) and (4,p) is 3/5 ,find p
Answer:
a
Step-by-step explanation:
Investigators conducting a study regarding the effects of water pollution and peptic ulcer disease obtained the following data: A population of 9000 men and women, aged 45, were examined on January 1, 1985. Of these people, 6000 were exposed to toxins in the local water supply and 3000 were not. At the time of this exam, 90 cases of peptic ulcer disease were discovered; 60 of these cases were among those exposed to toxins in their local water. All the people at the initial exam who were free from peptic ulcer disease were followed with repeat exams over the following year. This study revealed 268 new cases in the total group; of these, 238 cases were among those exposed to toxins in their local water. A. Calculate the prevalence per 1000 people of peptic ulcer disease on January 1, 1986: Among the exposed Among the unexposed B. Calculate the 1985 incidence rate/1000 people of peptic ulcer disease: Among the exposed Among the non exposed
Answer:
Kindly check explanation
Step-by-step explanation:
The prevalence per 1000 among the exposed :
Total number of diseases among those exposed = 60 + 238 = 298
Prevalence per 1000 among the exposed :
(298 / 9000) * 1000 = 33.11
Prevalence per 1000 among the non exposed :
((90 - 60) + (268 - 238)) / 3000
(60 / 3000) * 1000 = 20
Incidence rate per 1000 among the exposed :
238 / 5940 * 1000
0.0400673 * 1000 = 40.07
Incidence rate per 1000 among the unexposed :
((90 - 30) / (3000-30)) * 1000
(60/2970) * 1000 = 20.2
hii please help asap ill give brainliest thanks
In a store, 9/200 of the shirts are pink and 69/600 are orange. What percent of the shirts are not pink or orange?
Answer:
84%
Step-by-step explanation:
The percentage of pink shirts
= 9/200 × 100%
= 9/2
= 4.5%
The percentage of orange shirts
= 69/600 × 100%
= 69/6
= 11.5%
The percentage of the shirts which are not pink or orange
= 1 - 4.5% - 11.5%
= 84%
Alternative
Find their common denominator.
9/200
= 9×3 / 200×3
= 27/600
The total percentage of shirts in pink and orange
= (27/600 + 69/600) × 100%
= 96/600 × 100%
= 16%
The percentage of the shirts which are not pink or orange
= 1 - 16%
= 84%
URGENT!!! 20 points and Brainliest to best answer!
Complete the following proof.
Given: AB , CD are diameters
Prove: BD = CA
Answer:
angle AOC = BOD vertical angles
AO=BO bisected by CD
CO=DO biscted by BA
AOC =BOD SAS
Step-by-step explanation:
: D
Answer:
angle AOC = BOD vertical angles
AO=BO bisected by CD
CO=DO bisected by BA
AOC =BOD SAS
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
yes, this quadrilateral is a parallelogram.
Step-by-step explanation:
Above quadrilateral ,
opposite angle 70=70
and there is also 180-70=110 (linear pair)
so, others opposite angle 110=110
This quadrilateral have opposite sides equal
so, this is parallelogram.
Pls help
Pls help
Pls help
Answer:
346.5 cm
Step-by-step explanation:
Answer:
137.5
Step-by-step explanation:
Help as soon as possible
Please help BRAINIEST ANSWER ❤️❤️
Answer:
16.9 in
Step-by-step explanation:
Find the equation of the line that passes through points A and B.
y
X A (4, 7)
B (2, 3)
Answer:
y = 2x - 1.
Step-by-step explanation:
The slope = (7-3)/(4-2)
= 4/2
= 2.
y - y1 = m(x - x1)
Here m = 2 , x1 = 2 and y1 = 3. So we have:
y - 3 = 2(x - 2)
y = 2x - 4 + 3
y = 2x - 1.
We have used the point (2, 3) to find the equation but we could have used (4, 7). We would have got the same answer.
Answer:
y - 3 = 2(x - 2)
Step-by-step explanation:
As we move from Point B (2, 3) to Point A (4, 7), we see x increasing by 2 from 2 to 4 and y increasing by 4 from 3 to 7. Hence the rise is 4 and the run is 2, which means that the slope of this line is m = rise / run = 4/2 = 2.
Using the point-slope formula y - k = m(x - h) and the point (2, 3), we get:
y - 3 = 2(x - 2)
solve each system by substitution
-x+y=4
3x-2y=-3
A polr has a shadow that is 15 feet long.Mary is 4 feet tall and her shadows is 10 feet tall how tall is the pile
Answer:
The pole is 6 feet tall.
Step-by-step explanation:
The height makes the perpendicular and the shadow makes the base of the triangle in the given question
Pole Mary
Height x 4
Shadows 15 10
If the height is taken along y- axis and shadow is taken along x axis
Then
tan alpha = Perpendicular/ base
for Mary Tan alpha = 4/10
For the pole = tan alpha = x/15
Comparing x/15= 4/10
x= 4*15/10= 60/10= 6
The pole is 6 feet tall.
Q1: what is the measure of angle 2
Q2: what is the measure of angle 9
Q3: what is the measure of angle 10
Q4: what is the measure of angle 7
Answer:
angle 2 is 104
angle 9 is 66
angle 10 is 114
angle 7 is 76
Step-by-step explanation:
Jason represented the values of his 35 baseball cards in a histogram and in a stern-and-leaf plot. Which of these best describes the graph and characteristic that allow Jason to find the median value of his 35 baseball cards?
are there any choices?
Step-by-step explanation:
A triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 3:10. What are the measures of those two angles
Answer:
100 degrees, 30 degrees
Step-by-step explanation:
Write an expression for the measures of the other two angles:
one angle = 3x
other angle = 10x
These are in the ratio 3:10, but you don't know the value of x YET!
Fact: all 3 angles sum to 180 degrees.
50 + 3x + 10x = 180
50 + 13x = 180
13x = 130
x = 10
Now plug this value into the two expressions for the angle measures.
one angle = 3(10) = 30 degrees
other angle = 10(10) = 100 degrees
Evaluate:
1/2×2.4×2.4×7=
Answer:
20.16
Step-by-step explanation:
hope it helps!!:)
If you have 7x + 10x + 4, what would be an equivalent expression?
17x+4 is the answer hope this helps you
what is the surface area, in centimeters, of a cube with a side length, s. of 1/3cm?
what is the value of X
Answer:
B) 24
Step-by-step explanation:
A right triangle is 90°
90-42=48
48/2=24
Answer:
24°
Step-by-step explanation:
We know that it's a right angle. First, subtract 42 from 90 (90° is a right angle)
90 - 42 = 48
Now, since there's a 2x on the other side, we need to divide 48 by 2 to get the value of x:
48 ÷ 2 = 24
Therefore, x = 24°