Answer:
16.4 m²
Step-by-step explanation:
length = 4.6 m
breadth = 360 cm = 360 ÷ 100 = 3.6 m
Perimeter = 2*(l + b)
= 2 * ( 4.6 + 3.6)
= 2 * 8.2
= 16.4 m²
1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost
Solution :
It is given that a large institution is preparing food menus which contains foods A as well as B.
Each lunch provides :
10 units of carbohydrates
6 units of fats
7 units of proteins
The food from A cost = $0.12 per ounce
And food from B cost = $0.08 per ounce
Objective function :
[tex]$C= 0.12x+0.08y$[/tex]
Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]
Domain : [tex]$3 \leq x\leq 7$[/tex]
Range : [tex]$0\leq y\leq4$[/tex]
How is solving a two-step INEQUALITY similar to and different from solving a two-step EQUATION?
Answer:
there both similar by using inverse operations to isolate the variable term by using addition or subtraction and multiplying or dividing to solve for the variable .
the difference is for an inequality if u multiply or divide by a negative number then u have to reverse the inequality symbol, for regular equations u don't have to do that , and for regular equations there is a equal sign and not a inequality symbol
Step-by-step explanation:
just explained it above
hope I helped ! pls mark me brainlest if I got it right thanks :)
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume
Answer:
Step-by-step explanation:
Let assume that the volume = 88 cubic feet
Then:
[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]
The construction cost now is:
[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]
Now, to determine the minimum cost:
[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]
[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]
Now;
[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]
[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]
Find the surface area of a triangle prisms
Answer: 544 sq. inch
Step-by-step explanation:
12 x 8 x 0.5 x 2 + 10 x 14 x 2 + 12 x 14 = 544
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
Find the height in centimeters of a square pyramid with a volume of 296 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
Answer:
9.61cm
Step-by-step explanation:
Let height be x thus length will also be x
since the base is a square the width and length are also equal.
volume of pyramid=length×width×height
3
296cm³=x×x×x
3
296×3=x³
888=x³
x= cube root of 888
x=9.61cm
Help please just look at the photo thank you
Answer:
8x
Step-by-step explanation:
at least thats waht i think it is
Can someone help please ASAP
Answer:
U need to draw a triangle
Step-by-step explanation:
3. Determine how many real solutions the quadratic equation has. x2 + 6x + 8
A. One solution
B. Two solutions
C. No solutions
A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?
Answer:
2/8
Step-by-step explanation:
freshman=4/8
1/8 soph 1/8 jr
add all together u get 6/8
the rest is seniors so its 2/8
Distributive Property step by step 3x(x-1) tHxs
Answer:
3x² - 3x
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3x(x - 1)
Step 2: Expand
Distributive Property: 3x(x) + 3x(-1)Multiply: 3x² - 3xMedication is prescribed in 8 out of every 10 hospital emergency room visits that involve an injury. If a large urban hospital had 660
emergency
room visits involving an injury in the past month, how many of these visits would be expected to include a prescription for
medication?
About
emergency room visits would be expected to include a prescription for medication.
Answer:
I don't know thats hard um well yeah
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1
Answer:
8
Step-by-step explanation:
k
x=30 y=6
X x Y - 4 + 15 /2=?
Also Anyone on here got Queston cove?
Lol
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
= 30 × 6 - 4 + 15 / 2= (30 × 6) - (4 + 15) / 2
= (180 - 19) / 2
= 161 / 2
= 80.5
Hope it helps!
mark me brainliest pls.....
Follow me! :)
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period
Answer:
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.
Step-by-step explanation:
Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams
To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.
Proof -
Given that,
In between period of 32 to 35 weeks
Mean = 2500
Standard deviation = 700
In between after a period of 40 weeks
Mean = 3100
Standard deviation = 390
Now,
For a 34-week baby,
X = 2950
For a 41-week baby,
X = 3550
Now,
Z-score = (X - mean) / Standard deviation
Now,
For a 34-week baby,
Z - score = (2950 - 2500) / 700 = 0.643
For a 41-week baby,
Z-score = (3550 - 3100) / 390 = 1.154
∴ we get
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
As 1.154 > 0.643
So,
Baby weight of 41-week is more than baby weight of 34-week in the gestation period.
1.2 The stove you must bake in is an old one and only has the temperature in
Fahrenheit. You are making rusks and must dry them overnight at a
temperature of 176°F.
Convert this temperature
to °Celsius.
Answer:
80°C
Step-by-step explanation:
you will say :
(176-33) x 5/9 = 70
A random sample of house sizes in major city has a sample mean of
Answer:
A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:
which of the following phases are inequalities?
Choose 2
Please help me!
Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5
Answer:
1/3
Step-by-step explanation:
p=1/6+1/6
=2/6
=1/3
Please help me!! I don’t get this!
Answer:
c) (x+1)²+(y-3)²=25
Step-by-step explanation:
Help me please I need to get this right
Answer:
1. 12
2. 8
3. 3
Step-by-step explanation:
To find the first answer all you must do is:
2 x 3 x 2 = 12
You do the same thing with the second question but do 2 x 2 x 2 as there’s no turkery.
2 x 2 x 2 = 8
Last, this time you do 1 x 3 x 1.
One for the one bread and cheese and three for the meat.
This equals to be 3.
Please help I’ll mark you as brainliest if correct!
A
B
C
D
Answer:
A is the answer
Step-by-step explanation:
Find the range, median, and mode of this stem and leaf plot. Please help I have no idea how to do this
At a bird sanctuary, the population of bluebirds is 120 and is increasing 4% annually. How many bluebirds will there be in 8 years?
Brainliest for correct answer
Answer:
113.04
Step-by-step explanation:
IM SO SORRY IF ITS WRONG
What is the word form of the number 43.06? A forty-three and six B forty-three and six tenths c forty-three and six hundredths D forty-three and six thousandths
it is C forty-three and six hundredths.
I need help with this
Answer this question for me please
Answer:
i believe the answer is D
Step-by-step explanation:
Luis solved the following equation below: - x ^ 2 + 10x - 21 = y Line Line Line 1x = (- (10) plus/minus sqrt((10) ^ 2 - 4(- 1) * (- 21)))/(2(- 1)) 2x = (- 10 plus/minus sqrt(100 - 84))/- 2 3x = (- 10 plus/minus sqrt(16))/- 2 Line 4 x= -10 pm sqrt 4 -2 5x = (- 10 plus/minus 2)/- 2 Linedx = (- 10 + 2)/- 2 x = (- 10 - 2)/- 2 x = - 8/- 2 x = - 12/- 2 Line Line 7 Line 8 x = 4 x = 6 Did Luis solve the above function properly ? Justify why or why not and be specific (use the line numbers as reference
Answer:
Sorry try using the math tool.... it looks like a square root sign with a x inside of it! :)
[tex]\sqrt{x}[/tex] <-- pretty much like this one and is at the bottom of your brainly tab :)
It makes things clearer when it comes to these sort of things and eliminates things like, " plus/minus, sqrt, Linedx, 2 Line Line 7 Line 8x = 4x =6
Hope this helps :)
Step-by-step explanation:
Answer:
x = 7, x = 3Steps:
-x²+10x-21 = 0
x = (-10±√(10²-4×(-1)×(-21)))/2×(-1)
x = (-10±√(100-84))/-2
x = (-10±√16)/-2
x = (-10±4)/-2
x = (-10-4)/-2 , x = (-10+4)/-2
x = -14/-2 , x = -6/-2
x = 7 , x = 3
Luis did not solve the equation properly!
4th grade math please help
Answer:
Number one is D and Number 3 is also D
Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
A scale drawing of a rectangle is made by using a scale factor of StartFraction 5 over 8 EndFraction. The original and the scale drawing are shown below. A rectangle has a length of 18 inches and width of 12 inches. [Not drawn to scale] Which method can be used to find the dimensions of the original rectangle? 18 minus StartFraction 5 over 8 EndFraction = 17 and StartFraction 3 over 8 EndFraction inches and 12 minus StartFraction 5 over 8 EndFraction = 11 and StartFraction 3 over 8 EndFraction inches StartFraction 5 over 8 EndFraction divided by 18 = StartFraction 5 over 144 EndFraction inches and StartFraction 5 over 8 EndFraction divided by 12 = StartFraction 5 over 96 EndFraction inches 18 times StartFraction 5 over 8 EndFraction = 11 and one-fourth inches and 12 times StartFraction 5 over 8 EndFraction = 7 and one-half inches 18 divided by StartFraction 5 over 8 EndFraction = 28 and four-fifths inches and 12 divided by StartFraction 5 over 8 EndFraction = 19 and one-fifth inches
Answer:
its dddddddddddddddddddddddd
Step-by-step explanation:
The method that can be used to determine the dimensions of the orginal rectangle is multiply the length and the width of the scale drawing of rectangle by 8/5.
What is a scale drawing?
A scale drawing is smalleer image of a bigger diagram.The scale drawing is usually reduced at a constant dimension
The orginal dimensions can be determined by multiplyinf the dimensions of the scale drawing by 8/5
To learn more about scale drawings, please check: https://brainly.com/question/26388230