The product of two numbers exists done by multiplying a number with the other. The product of a number x and 7 exists 7x.
What is meant by product?The result of multiplying two or more numbers together is known as a product in mathematics. A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product.
The outcome of one or more multiplications is referred to as a "product." For instance, the mathematical statement "times equals" would be written with the multiplier, the multiplicand, and their product as the variables.
Let the variable be x
x be a number
So, the product of x and 7 exists calculated as:
Product = 7 × x
Product = 7x
Therefore, the product of a number (x) and 7 exists 7x.
The complete question is:
The product of a number and 7
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A farmer has 107 acres on which to plant oats or corn. Each acre of oats requires $18 capital and 2 hours of labor. Each acre of corn requires $36 capital and 6 hours
of labor. Labor costs are $8 per hour. The farmer has $2100 available for capital and $2400 available for labor. If the revenue is $47 from each acre of oats and $111
from each acre of corn, what planting combination will produce the greatest total profit? (Profit here is revenue plus leftover capital and labor cash reserve.) What is
the maximum profit?
orn
Answer:
$6049.63Step-by-step explanation:
the objective is to maximize profit
let x be corn and y be oat
let us begging by formulating the linear program for the problem
The objective function is
111x+47y=P
The constraints are
1. capital
36x+18y=2100------------1
2. labor
6x(8)+2y(8)=2400
48x+16y=2400-------------2
solving 1 and 2 we apply substitution method
36x+18y=2100------1
36x=2100-18y
x=(2100-18y)/36
put x=(2100-18y)/36 in 2 we have
48(2100-18y)/36+16y=2400
(100800-864y)/36+16y=2400
2800-24y+16y=2400
-8y=2400-2800
-8y=-400
8y=400
y=400/8
y=50
to find x put y=50 in 36x+18y=2100------------1
36x+18(50)=2100------------1
36x+900=2100
36x=2100-900
36x=1200
x=1200/36
x=33.33
profit is
111x+47y=P
111(33.33)+47(50)=P
3699.63+2350=P
P=6049.63
$6049.63
the planning comnination is to work on
33.33 acre of corn and 50 acre of oat
Find the amount each constant would carry if the total amount carried (5 cups) was redistributed equally among all the contestants. (The second photo doesn't need a answer but it's background information and the answer to it was 5) Proof that the answer is 5! ----> (1/4 + 1/4 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 5/8 +5/8 + 7/8) *You can look it up on gogle for proof <3) #I did a lot of typing for this even tho I'm a fast typing it took some time LOL# All I need is the first answer to be done! TYGSM :D
Answer:
1/2 cup eachStep-by-step explanation:
Count the number of contestants:
2 + 2 + 2 + 3 + 1 = 10Distribute 5 cups equally among them:
5/10 = 1/2 cupTotal contestants
2+2+2+1+310Now distribute 5 cups among 10 contestants
5/101/20.5cups5
4
3-
Mark this and return
N
-5-4-3-2-1₁.
24
1+
GAW N
y
+2+
-3
-4
1 2 3 4 5 x
What is the range of the function on the graph?
O all the real numbers
O
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
Save and Frit
The range of the function on the graph would be: D. all real numbers greater than or equal to 2
How to calculate the function rangeTo obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.
So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.
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pleas anwear fast
Graph the function.
�
(
�
)
=
4
⋅
(
3
2
)
�
f(x)=4⋅(
2
3
)
x
f, left parenthesis, x, right parenthesis, equals, 4, dot, left parenthesis, start fraction, 3, divided by, 2, end fraction, right parenthesis, start superscript, x, end superscript
The graph of the function f(x) = 4(2/3)^x is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x)=4⋅(
2
3
)
x
Express the equation properly
So, we have
f(x) = 4(2/3)^x
The above expression is a an equation of a exponential function
Next, we plot the graph using a graphing tool
To plot the graph, we enter the equation in a graphing tool and attach the display
See attachment for the graph of the function
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A skier skis along a circular ski trail that has a radius of 1.7 km. The skier starts at the East side of the ski trail and travels in the CCW direction. Let θ represent the radian measure of the angle the skier has swept out.
a) Write an expression (in terms of θ) to represent the skier's distance to the East of the center of the ski trail (in km).
b) Write an expression (in terms of θ) to represent the skier's distance to the North of the center of the ski trail (in km).
The skier's distance to the east of the center of the ski trail is
x = 1.25cosθ
The skier's distance to the north of the center of the ski trail is
y = 1.25sinθ
When radius 'r' and the angle θ are given, the coordinates (x,y) as shown
x = east direction
y = north direction
In this case we get,
x = r cosθ
y = r sinθ
Given r = 1.25 km
We get,
x = 1.25 cosθ in east direction
y = 1.25 sinθ in north direction
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solve pls brainliest
Hello there! :)
Divide both the numerator and the denominator by 7:
2/3
Hope it helps
Answer:
2/3
Step-by-step explanation:
14/21
Both the numbers 14 and 21 are multiples of 7
14 can be divided by 7 to give 2
21 can be divided by 7 to give 3
Dividing the numerator and denominator by 7, you end up with the simplified answer: 2/3
Purchased goods on credit from Mimi and Ana, RM300 and RM400 respectively. Btw this is account subject and can I know what is the debit and credit for this questions.
Solve the right triangle. 34.5 Find the length of the side opposite to the given angle. (Round your answer to two decimal places.) Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the other acute angle. rad
Answer:
a) 388.03
b) 148.49
c) π/8
Step-by-step explanation:
Find the diagram attached
Let the opposite side be y
Given
a) Hypotenuse = 420
theta = 3π/8 rad
theta = 3(180)/8
theta = 67.5degrees
Using the SOH CAH TOA identity
sin theta = opposite/hypotenuse
sin 67.5 = y/420
x = 420sin67.5
x = 420(0.9238)
x = 388.03
Hence the length of the side opposite to the given angle is 388.03
b) Hypotenuse = 420
theta = 3π/8 rad
theta = 3(180)/8
theta = 67.5degrees
Using the SOH CAH TOA identity
cos theta = adjacent/hypotenuse
cos 67.5 = x/420
x = 420cos67.5
x = 420(0.3827)
x = 148.49
Hence the length of the side adjacent to the given angle is 148.49
c) The sum of angle in the triangle is π
Let the measure of the unknown angle be z
z + 3π/8 + π/2 = π
z + 3π+4π/8 = π
z + 7π/8 = π
z = π - 7π/8
z = (8π-7π)/8
z = π/8
Hence the measure of the other acute angle is π/8
need help pls i will give brainliest.
Answer:
g= 60°
i= 70°
h= 50°
Step-by-step explanation:
g=180-120 = 60°
i= 180-110 = 70°
h=180-60-70 = 50°
hope this helps =)
Kindly rate and mark brainliest. Thank you.
help me please!!!!!!!1
Answer: 340
Step-by-step explanation:
10 x 5 = 50
10 x 5 = 50
10 x 8 = 80
10 x 8 = 80
8 x 5 = 40
8 x 5 = 40
50 + 50 + 80 + 80 + 40 + 40
100 + 160 + 80
340
821,800 to the nearest 10
Answer:
Here's the general rule for rounding:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
help i tihnk i know the answers but unsure
Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.
What is the difference between quantitative and categorical variables?Quantitative variables are measured with numbers. Some examples include:
Weight measured in kilos
The distance measured in meters or kilometers
Time measured in seconds or hours
On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:
Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.
Moreover, variables can be classified as:
Nominal: Data can be categorized but not ranked.Ordinal: Data can be both categorized and ranked.Interval: Same properties as ordinal but can have values below zero.Ratio: Same properties as ordinal but does not have values below zero.Learn more about ordinal and nominal in: https://brainly.com/question/13168982
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A square pyramid is rotated about a line perpendicular to the base and through the vertex. What angle of rotation maps the pyramid onto itself?
30º
45º
60º
90º
Answer:
I think the answer is 30°. Please tell me if I'm wrong.
Answer: 90 Degrees
Step-by-step explanation:
what is 12.18/43.685=?
pls include long division
I'll give brainliest
Answer:0.27881423829
Step-by-step explanation:
Answer:
0.278814
Step-by-step explanation:
12.18÷43.685≈0.278814
The long division is in the picture
Jimmy, Johny and Jolly went to the market to buy some presents for Secret Santa celebration at school. Three of them together spent $560. If Johny spent twice as much Jolly did and Jimmy spent $30 less than Johny did, how much did each of them spend?
Answer:
Step-by-step explanation:
I think they both spend 300$
Pls Help Me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the x-axis and time on the y-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
what factor is paired with 4 to give 24
Answer:
6
Step-by-step explanation:
4 x 6 = 24
HELPPP PLEASE!!!!!!!!!
How does the range of g (x) = StartFraction 6 Over x EndFraction compare with the range of the parent function f (x) = StartFraction 1 Over x EndFraction?
Answer:
The range of both f(x) and g(x) all nonzero are real numbers.
Step-by-step explanation:
I think is an answer choice so is B.
:)
A basketball roster is shown in the table.
A 4-column table with 7 rows titled Basketball Roster. Column 1 is labeled Player with entries Adams, Brock, Cup, Dennis, Early, Finn, Graham. Column 2 is labeled Grade with entries 11, 12, 11, 10, 12, 11, 12. Column 3 is labeled Position with entries G, F, F, G, C, F, G. Column 4 is labeled height with entries 5 foot 6, 5 foot 8, 5 foot 9, 5 foot 3, 5 foot 11, 5 foot 9, 5 foot 5.
Which variable would be classified as a continuous quantitative variable?
grade
height
player name
position
Using variable concepts, it is found that the player's height is a continuous quantitative variable.
What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...What are qualitative and quantitative variables?Qualitative variables: Assumes labels or ranks.Quantitative variables: Assume numerical values.In this problem:
The player name and position are qualitative variables.Grade assumes only integer values, hence it is discrete.The height is quantitative, assuming decimal values in inches, hence it is also continuous.You can learn more about continuous and discrete variables at https://brainly.com/question/16978770
Answer:
height
Step-by-step explanation:
noballz
Please help, find angle R
Step-by-step explanation:
√(7^2) + (9^2)
=√(49) + (81)
=√(130)
=11.401754251
HOPE THIS HELP YOU !!! ;))))A baby was born with a weight of 10 pounds and then began to gain 2 pounds per month. Write an equation for W, in terms of t, representing weight, in pounds, of the newborn baby t months after birth
Answer:
w = 2t + 10
Step-by-step explanation:
in this equation, t is your independent variable [x], and w is your dependent variable [y]
we know when writing a linear equation, the slope-intercept [most common] form is y = mx + b; where m is the slope [rate of change] and b is the y-intercept [initial value]
so, weight equals increase in pounds per month plus the baby's original weight
from this, you get W = 2t + 10
28453 dg a t
porfa ayudenme
pipipipi
Answer:
488
Step-by-step explanation:
You divide 28453 by 58.3053278689 and get 488.
A couch at a department store costs $490.00. What is the total cost of the couch after a 7% sales tax is applied? Responses
Answer:
$524.30
Step-by-step explanation:
490x107%=524.30
The local farmer’s market sells a 4-pound basket of pears for $6.00. What is the price per pound?
Answer:
1.50
Step-by-step explanation:
divide 6.00 by 4 and you get 1.5
can someone pls help i dont get any help here anymore
yly 115°x X y = [? ]
Answer:
x = 65°
y = 25°
Step-by-step explanation:
x = 180-115 which equals 65°
y = 180-(90+65) which equals 25°
PLS HELPPPPPPPPPPPPPPOOP
what is the diameter of a hemisphere with a volume of 22778 m^3 to the nearest tenth of a meter
The volume of a hemisphere is given by:
\(V=\frac{2}{3}πr^3\)Solving for r:
\(\begin{gathered} 3V=2πr^3 \\ \\ \frac{3V}{2π}=r^3 \\ \\ r=\sqrt[3]{\frac{3V}{2\pi}} \end{gathered}\)Replacing V = 22778 m³:
\(r=\sqrt[3]{\frac{3\times(22778m³)}{2\timesπ}}=22.2m\)then; diameter = 44.4 m
ANSWER
d = 44.4 m
x + 2y - z = -2
2x -8y + z = -7
-2x + 12y - 3z = 7
Answer:
+
2
−
=
−
2
2
−
8
+
=
−
7
−
2
+
1
2
−
3
=
7
Step-by-step explanation:
If two cars hit head on at 50 mph what is the force of the impact?
Answer:
100mph
Step-by-step explanation: