College student makes decorative Styrofoam Lions and Husky's which she sells each year. Each one uses 8 oz of Styrofoam and takes 35 minutes to make. Each husky uses 12 oz of Styrofoam and takes 20 minutes to me. Furthermore, each line brings in a profit of $2.50 while each husky brings in a profit of $3. If she only has 3840 ounces of Styrofoam to work with and has 9650 minutes, how many of each animal should she make in order to maximize profits? What is the maximum profit possible?
Answer:
She should make 122 Styrofoam lions and 268 Styrofoam Husky's
The maximum profit, she makes is $1109
Step-by-step explanation:
The given information are;
The volume required to make each lion = 8 oz
The time it takes to make each lion = 35 minutes
The amount of profit each lion brings = $2.50
The volume required to make each Husky = 12 oz
The time it takes to make each Husky = 20 minutes
The amount of profit each Husky brings = $3
Let the number of lion Styrofoam cups she makes = x
Let the number of Husky Styrofoam cups she makes = y
Therefore, we have;
x × 35 + y × 20 = 9650..........(1)
x × 8 + y × 12 = 3840.............(2)
Dividing equation (2) by 8 and making x the subject, we get;
x × 8/8 + y × 12/8 = 3840/8
x + 4/3·y = 480
x = 480 - 4/3·y
Substituting the value of x in equation (1) gives;
(480 - 4/3·y) × 35 + y × 20 = 9650
16800 - 80/3·y = 9650
y = 268.125
x = 480 - 4/3·y = 480 - 4/3×268.125 = 122.5
Therefore, she can make 122 Styrofoam lions and 268 Styrofoam Husky's
The maximum profit, she makes is therefore given by the following equation;
The maximum profit = 122 × 2.5 + 268 × 3 = $1109.
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
The answer is A, because the perimeter in cm is 19 and if we multiply 19 by 6.5 we get 61.75
Helen is merging images from her two favorite movies so that the characters from the different movies appear to be dueling with each other. The editing program she is using has a virtual protractor, which tells Helen that the character in the first picture is holding her sword at a 43 angle and that the character in the second picture is holding his sword at a 107 angle. In the merged image that Helen creates, what will the angle between the characters’ swords be?
Answer:
[tex]the \: angle \: between \: the \: characters’ \: swords\: \\will \: be \: 30[/tex]
Step-by-step explanation:
[tex]both \: characters \: swords \: form \: \\ a \: triangular \: shape \: with \: 43 \: and \: 107 \: \\ as \: thier \: bases. \\ to \: find \: the \: unknown \: angle \: we \ \\ \: employ \: that \: the \: sum \: of \: angles \: in \: a \\ \: triangle \: = \: 180. \\ so \: 180 - (107 + 43) = 30.[/tex]
Which equation represents the unit fraction shown in the diagram? A grid model with 100 squares. 20 squares are shaded. StartFraction 20 Over 100 EndFraction = one-fifth StartFraction 20 Over 100 EndFraction = two-fifths StartFraction 20 Over 100 EndFraction = one-half StartFraction 20 Over 100 EndFraction = StartFraction 1 Over 10 EndFraction
Answer:
the anserw is c
Step-by-step explanation:
i took the test
What value of 'x' would make lines n and m parallel?
WORTH 50 POINTS graph y=4/7x−2. i need two points
[tex]\sf \longmapsto y=4/7x−2[/tex]
[tex]\sf \longmapsto \dfrac{4}{7} x - 2 = y[/tex]
[tex]\sf \longmapsto \dfrac{4}{7} x - 2 + 2 = y + 2[/tex]
[tex]\sf \longmapsto \dfrac{4}{7} x = y + 2[/tex]
[tex]\sf \longmapsto \dfrac{4}{7 } x \bigg/ \dfrac{4}{7} = \dfrac{y + 2}{ \dfrac{4}{7} } [/tex]
[tex]\sf \longmapsto x = \dfrac{7y + 4}{14} [/tex]
Graph attachedWhich of this following is an expression
Answer:
Step-by-step explanation:
expressions dont have an equal sign but they have either a plus, minus, multiplying or dividing sign
Half the product of two numbers x and y minus five times a third number z
Answer: (X times Y) 1/2 - 5 ( Z/3 )
Step-by-step explanation:
Find the values of x and y if (x+2,y)=(3,4).
Answer:
x = 1 and y = 4
Step-by-step explanation:
Solution,
(x+2,y) = (3,4)
Now,
Comparing corresponding elements,
x+2 = 3 , y = 4
or, x = 3 - 2 , y = 4
or, x = 1 , y = 4
Therefore, the value of x is 1 and y is 4.
Which number line and expression show how to find the distance from 4 to 1
Answer:
C.
Step-by-step explanation:
The distance between two numbers on the number line is the absolute value of the difference of the numbers.
The distance between 4 and 1 is
|4 - 1|
Answer: C.
Answer:
c
Step-by-step explanation:
its the proper way
True or false: When you multiply or divide an inequality by a negative, you flip the inequality sign
Plz tell me
Answer:
[tex]\boxed {\tt True}[/tex]
Step-by-step explanation:
This is true. Whenever you divide or multiply an inequality by a negative number, you must flip the inequality sign.
Here is an example:
[tex]-9x>27[/tex]
We have to divide both sides of the inequality by -9. Since it is a negative number, flip the inequality sign.
[tex]\frac{-9x}{-9} <\frac{27}{-9}[/tex]
[tex]x<\frac{27}{-9}[/tex]
[tex]x<-3[/tex]
So, it is true that you must flip the inequality sign when multiplying or dividing by a negative number.
Answer:
true
Step-by-step explanation:
yes true
..............
will give brainliest answer
Answer:
true
true
false
Step-by-step explanation:
the triangle is equal throughout but not symmetrical.
The number of users of social media has increased significantly since the year 2001. In fact, the approximate number of users has tripled each year. It was reported that in 2005 there were 3 million users of social media.
a. Assuming that the number of users continues to triple each year, for the next three years, determine the number of users in 2006, 2007, and 2008.
How many users were there in 2006?
Answer:
9 million
Step-by-step explanation:
3 million × 3 = 9 millionI hope this helps!
The number of users in 2006, 2007, and 2008 will be 9 million, 27 million, and 51 million respectively.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is given that, the approximate number of users has tripled each year and in 2005 there were 3 million users of social media.
The number of users in 2006 = 3 × number of users in 2005]
The number of users in 2006 = 3 × 3 million
The number of users in 2006 = 9 million
The number of users in 2007 = 3 × number of users in 2006
The number of users in 2007 = 3 × 9 million
The number of users in 2007 = 27 million
Thus, the number of users in 2006, 2007, and 2008 will be 9 million, 27 million, and 51 million respectively.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
Simplify -2√18
Would appreciate an explanation!
Answer:
-6√2
Step-by-step explanation:
Since the largest square root in 18 is 9 we can separate it out as shown:
√18 = √9√2
We can then solve this out to 3√2
Since we have a negative two on the outside, we would multiply it by 3 ( from the 3√2).
Work:
-2√18
-2√9√2
-2(3)√2
-6√2
Answer:
Step-by-step explanation:
Prime factorize 18
[tex]-2\sqrt{18}=-2*\sqrt{3*3*2}= -2*3\sqrt{2} \\\\ = -6\sqrt{2}[/tex]
3x2 – 7x + 9, when x = 4
A)5
B)29
C)61
D)85
Answer:
B) 29
Step-by-step explanation:
Plug in 4 for x.
3(4)^2 - 7(4) + 9
3(16) - 28 + 9
48 - 28 + 9
20 + 9
29.
Hope this helps.
Taylor multiplied 8.25 x 104 and 0.4 x 104 and got 8.65 x 104
Explain Taylor's mistake and give the correct answer. (1 pt. for the explanation and 1 pt. for the correct answer.)
Answer:
Taylor added. The correct answer is 3.3*10^8
Step-by-step explanation:
Taylor haven't consider the exponents properties and multiplication was also incorrect.
What are exponents?Exponent refers to how many times a number multiplied by itself.
Given:
8.25 x [tex]10^{4}[/tex] and 0.4 x [tex]10^{4}[/tex]
Now, multiplying by considering exponents as
a^m * a^n = a^( m+ n)
So,
=8.25 * 0.4 * [tex](10) ^{4+4}[/tex]
= 3.3 * [tex]10^8[/tex]
Hence, Taylor haven't consider the exponents properties and multiplication was also incorrect.
Learn more about exponents here:
https://brainly.com/question/5497425
#SPJ2
you are going on vacation and leaving your dog in a kennel. kennel a charges $25 per day which includes a one-time grooming treatment. kennel b charges $20 per day and a one-time fee of $30 for grooming. if your vacation is 7 days long, which kennel should you choose? explain.
Answer:
is this a quiz?
Step-by-step explanation:
which expression is equivalent to 2(n-1)-2s(-2n-3)
A) 4sn+6s +2n-2
B)-n-3-4sn+3s
C)2+[tex]s_7[/tex] ×n+6n
D)2+8n+6sn
(01.02 LC)Simplify 5 − (−1).
Answer:
Your answer is: 6
Simplify the expression.
6
Step-by-step explanation:
Hope this helped : )
Answer:
6
Step-by-step explanation:
5- (-1), the negative signs will be positive signs, 5 + 1, so we'll get 6.
What is the length of the diagonal of the rectangle?
Answer:
21.5
HERE'S YOUR ANSWER....
HOW MUCH WAS IT HELPFUL
A family of five went out to dinner at HogTastic Pit BBQ. They all ordered the buffet and drink at $12.80 each. They left a 15% gratuity for the waitress on the after-tax bill. Based on a tax rate of 7.5%, they ended up paying a total of $ for dinner.
Answer:
$79.12
Step-by-step explanation:
Given the following :
Cost per order = $12.80
Number of people = 5
Gratuity left for waitress = 15%
Tax rate = 7.5%
Total bill before tax:
$12.80 * 5 = $64
Bill after tax:
$64 * (1 + 7.5%)
64 - 4.8
= $68.80
Final amount paid:
After tax bill + (after tax bill * Gratuity rate)
$68.80 + (68.80 * 15%)
= $79.12
Write the equation of a line through point (-5,1) and perpendicular to 2x - 3y = 6.
Answer:
y = 2/3x - 2
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
2x - 3y = 6 Equation
Step 3:
- 3y = - 2x + 6 Subtract 2x on both sides
Step 4:
y = 2/3x - 2 Divide - 3 on both sides
Answer:
y = 2/3x - 2
Hope This Helps :)
11=3−4/3x solve for x
11 = 3 - 4/3x
11 = (9 - 4x)/3
33 = 9 - 4x
24 = -4x
24/4 = - x
x = -6
What number is 2/3 of 15
Step-by-step explanation:
2/3 of 15
2*5(3*5=15)
10
A technician is launching an aerial firework from a tower. The height of the firework is measured in feet and the time is measured in seconds. A function that models the fireworks vertical distance with no respect to time,x, is f(x)=-16x^+96x+112 What information does this form of equation give about the firework
Answer:
The equation gives only the total vertical distance traveled by the firework or maximum height reached by the firework
Step-by-step explanation:
Given;
A function that models the fireworks vertical distance with no respect to time,x, as;
f(x)=-16x^+96x+112
The equation gives only the total vertical distance traveled by the firework, it does not account for the position of the firework at a particular time.
Thus, with the given function we can only estimate the maximum height reached by the firework.
One gym has offers. Write out an equation to join and set it equal to your budget. Budget = 275, membership fees = 25 per month, flat discount = 75. How many months of a gym membership I can afford. its for 8th grade so dnt give a very complicated one thx
Answer:
8 months
Step-by-step explanation:
Given that,
Total budget = 275
Membership fee = 25 per month
Flat discount = 75
We need to find for how many months of gym membership I can afford. The equation will look like :
25x=275-75
25x=200
x = 8 months
Hence, he can afford gym membership for 8 months.
View
A tropical species of mite named Archegozetes longisetosus is the record holder for the strongest insect in
the world. It can lift up to 1.182 x 103 times its own weight. If a person who weighed 100 pounds were as
strong as this insect, how much could that person lift? Enter the answer using scientific notation.
Step-b
The person could lift
pounds.
Print
Answer:
Ummm yeah yeah 123_3
Step-by-step explanation:
1x1+3
pls help!!!!!!!!!!!!!!
NEED NOW!!! A bag of marbles can be shared equally amoung 6, 8, or 12 students with none left iver. What is the least ammount of marbles that can be in the bag?
Answer: the least amount of marbles would be 24 because it would be divided equally among the people , with none leftover.
Step-by-step explanation: if you had 6 people, each of them would have 4 marbles. if you had 8 people each of them would get 3 marbles. and if you had 12 people, each of them would get 2 marbles.
hope i could help :)
Can someone please help me with this problem?
Answer:
53 - .75x < 50
Step-by-step explanation:
4 + 49 - .75x < 50
53 - .75x < 50
-.75x < -3
x > 4
He needs to remove 5 or more shirts to meet the requirement.
Answer:
53 - .75x < 50
Step-by-step explanation: