[tex]\text{Hello!}[/tex]
[tex]\large\boxed{\frac{4}{15}lbs}[/tex]
[tex]\text{Since the chocolate is being shared with 3 people, divide by 3:}[/tex]
[tex]\frac{4}{5} / 3 = \\ \\\text{Divide by multiplying by its reciprocal:}\\\\\frac{4}{5}* \frac{1}{3} = \frac{4}{15}lbs[/tex]
Answer:
15/4
Step-by-step explanation:
Keep the first fraction
3 ÷ 5/4
Flip the second fraction and change division to multiplication
3/1 × 4/5
Multiply
3/1 × 4/5 = 15/4
Hi, I could really use some help on this math problem
Answer:
2 mph
Step-by-step explanation:
Distance = speed × time
time = distance / speed
If x is the speed of the current, then 12 + x is the downstream speed and 12 − x is the upstream speed.
The time downstream is the same as the time upstream, so:
21 / (12 + x) = 15 / (12 − x)
Cross multiply and solve:
21 (12 − x) = 15 (12 + x)
252 − 21x = 180 + 15x
72 = 36x
x = 2
Let's check our answer. At 14 mph, he can travel 21 miles in 1.5 hours. At 10 mph, he can travel 15 miles in 1.5 hours.
So the speed of the current is 2 mph.
what is the sum of 75/100 and 8/10
Answer:
155
Step-by-step explanation:
8/10 is basically 80/100
so 75/100 + 80/100 is equal to=
155.
or in fractions wise 155/100
Answer:
1 11/20
Step-by-step explanation:
75
100
+
8
10
=
75
100
+
8 × 10
10 × 10
=
75
100
+
80
100
=
75 + 80
100
=
155
100
=
155 ÷ 5
100 ÷ 5
=
1 11
20
1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of vitamin C and 25 mg of an herbal supplement. Excel contains 68 mg of vitamin A, 61 mg of vitamin C and 15 mg of the herbal supplement. An athlete is told that he needs at least 489 mg of vitamin A, 1130 mg of vitamin C and 348 mg of the herbal supplement for optimal athletic performance. The athlete wants to take the supplements, but at the lowest possible cost. Energize pills cost 40 cents each, while Excel pills cost 100 cents each. Let x = the number of Energize pills to take, and let y = the number of Excel pills to take. Which of the following is the objective function for this situation?
A) Minimize C = 40x + 100y.
B) Maximize C = 40x + 100y.
C) Minimize C = 11300x + 3480y.
D) Maximize C = 100x + 40y.
E) Minimize C = 100x + 40y.
F) None of the above.
2. A company produces two types of bicycles; mountain bikes and racing bikes. It takes 7 hours of assembly time and 5 hours of mechanical tuning to produce a mountain bike. It takes 8 hours of assembly time and 4 hours of mechanical tuning to produce a racing bike. The company has at most 22 hours of mechanical tuning labor per week and at most 190 hours of assembly labor per week. The company's profit is $50 for each mountain bike produced and $130 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?
a) 7x + 5y ≤ 190, 8x + 4y ≤ 22, x ≥ 0, y ≥ 0.
b) 7x + 8y ≥ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
c) 5x + 8y ≤ 190, 7x + 4y ≤ 22, x ≥ 0, y ≥ 0.
d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
e) 7x + 8y ≤ 190, 5x + 4y ≥ 22, x ≥ 0, y ≥ 0.
f) none of the above.
3. A certain academic department at a local university will conduct a research project. The department will need to hire graduate research assistants and professional researchers. Each graduate research assistant will need to work 23 hours per week on fieldwork and 17 hours per week at the university's research center. Each professional researcher will need to work 15 hours per week on fieldwork and 25 hours per week at the university's research center. The minimum number of hours needed per week for fieldwork is 154 and the minimum number of hours needed per week at the research center is 140. Each research assistant will be paid $295 per week and each professional researcher will be paid $416 per week. Let xdenote the number of graduate research assistants hired and let y denote the number of professional researcher hired. The department wants to minimize cost. Set up the Linear Programming Problem for this situation.
A) Min C = 416x + 295y; s.t 23x + 17y ≥ 154, 15x + 25y ≥ 140, x ≥ 0, y ≥ 0.
B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.
C) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 25x + 17y ≥ 140, x ≥ 0, y ≥ 0.
D) Min C = 295x + 416y; s.t 15x + 23y ≤ 140, 25x + 17y ≤ 154, x ≥ 0, y ≥ 0.
E) Min C = 416x + 295y; s.t 15x + 23y ≥ 154, 25x + 17y ≥ 140, x ≥ 0, y ≥ 0.
F) None of the above.
Answer:
1)A) Minimize C = 40x + 100y.
2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.
Step-by-step explanation:
1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:
minimize cost = cost of energize pill + cost of excel pill
Minimize cost = 40x + 100y
2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.
7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:
7x + 8y≤ 190
5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:
5x + 4y ≤ 22
Also assemble time and mechanical time must be greater than 0, hence:
x ≥ 0, y ≥ 0
3) The fieldwork constraint can be represented as:
23x + 15y ≥ 154
The time to be spent at university research center can be represented as:
17x + 25y ≥ 140
Both fieldwork time and time spent at university research center mut be greater than 0, hence:
x ≥ 0, y≥ 0
The cost equation is:
Minimize cost = 295x + 416y
Which inequality is equivalent to 3+4/x > equal to (x+2)/x
The inequality 3 + (4/x) ≥ (x + 2) / x is equivalent to the inequality x ≥ -1.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
The inequality is given below.
3 + (4/x) ≥ (x+2)/x
By simplifying, we have
(3x + 4) / x ≥ (x + 2) / x
3x + 4 ≥ x + 2
2x ≥ -2
x ≥ -1
More about the inequality link is given below.
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Simplify the following expression: 4(12x + 16)
Answer:
The given expression simplified is 48x + 64.
Step-by-step explanation:
Solving this problem entails of simplifying the expression provided. We'll use the distributive law, or the distributive property, to write the expression in the simplest form.
Distributive law states:
a(b + c) ⟶ (a × b) + (a × c)We know that...
a = 4b = 12xc = 16Following the rules of distributive law, we can set up the expression to match this property.
a(b + c) ⟶ 4(12x + 16) ⟶ (4 × 12x) + (4 × 16)
The expression will now be easier to simplify. Here, the last step would be to multiply the terms within the parentheses. Remember that we cannot multiply a number by a variable. When you multiply '4' by '12x', just multiply twelve and four, and leave the variable as is.
(4 × 12x) + (4 × 16)
48x + (4 × 16)
48x + 64
Think back on what I mentioned earlier about not being able to multiply a number by a variable. The same rule applies to adding two terms, in which one is a constant and the other consists of a coefficient and variable. Our simplified expression has '48x', which is a coefficient and variable, and '64', which is a constant. This means we cannot add these two terms together.
Our expression seems to be in the simplest form because no further actions can be taken. The correct answer should be 48x + 64.
Answer:
48x+16
Step-by-step explanation:
Solve: 8 = 16 + X
please help me. :)
Answer:
x=-8
Step-by-step explanation:
8=16+x
-x=16-8
-x=8
x=-8
1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting seashells. Marisol started with zero seashells in her collection. Pilar adds 10 seashells to her collection each week for x weeks. • Marisol adds 20 seashells to her collection each week for x weeks.
(a) Write an inequality to represent the situation when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection
(b) Solve the inequality in part (a) for the x. Show your work and explain your answer.
Answer:
a. 20x > 10x + 80
b. •20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Step-by-step explanation:
10x + 80 = number of seashells Pilar has.
20x = number of seashells Marisol has.
answer for a: 20x > 10x + 80
answer for b: 20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Answer:
Pilar started with 80 and adds 10 each week.
y= 10x + 80 (ten seashells • weeks + 80 she started with)
Marisol started with 0 and adds 20 each week.
y = 20x (no need to add + 0 because she started with nothing)
Inequality:
y = 10x + 80 < y = 20x
I would reccomend just plugging in numbers (for example if I put in 5 I would determine if it was too high or low then go to the next number.)
I plugged it into an online graph so I can’t show my work but the answer is 8 weeks.
Step-by-step explanation:
PLEASE HELP!! WHICH ONE IS GREATER?? -3 or 3 PLEASE EXPLANE IF YOU CAN??! THANK YOU!
Hope goes through the steps of sorting a list. The resulting list is shown below. A 2 column table with 6 rows. Column 1 has entries Argon, Carbon dioxide, Gas, Nitrogen, Oxygen, Other gases. The word Gas is set bold. Column 2 has entries .93, .04, Percentage, 78, 21, .03. The word Percentage is set bold. Which step did Hope miss? Press the Sort icon. Sort the list by text. Click the Header Row option. Choose the Ascending button.
Answer:
its paragraph
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
edge 2021
Solve for p.
4 - 3p = 22
Greetings! Hope this helps!
Answer
p = -6
_____________
4 - 3p = 22
-4 -4
-3p = 18
/-3 /-3
p = -6
Have a good day!
_______________
A brainliest would help tons! :D
Homework Pro
Question Progress
Simplify
olo
leaving your answer in index form.
6m + 2(6 + 7m)=-128
How do I solve this step by step
Answer:
M = 7
Step-by-step explanation:
6m + 2(6 + 7m) = -128
6m + 12 + 14m = -128
20m + 12 = -128
Subtract 12 both sides
20m = 140
Divide by 20 both sides
M=7
Work out the value of 6^2+3^3=
Step-by-step explanation:
(6)^2+(3)^3
36+27
63
the answer is 63.
Answer:
63
Step-by-step explanation:
Step 1:
6² + 3³ Equation
Step 2:
36 + 27 Multiply
Answer:
63 Add
PEMDAS:
1. Parenthesis
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
Hope This Helps :)
What is the measure of A, in degrees?
8
0
O A Cannot be determined
B. 120
C. 150°
D. 60
Answer:
Did this question come with a picture or something more to go off of?
HELPHELPHELP
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9+6)
9(1 + 54)
9(1) + 9(54)
Answer:
now that is ever easy enough u have to add
ANSWERE
A
Step-by-step explanation:
Latoya drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 216 miles?
Answer:
8.1 gallons of gas
Answer:
8.10 or 8
Step-by-step explanation:
you divide the miles with how many tanks of gas was used to find how much 1 gallon can take you.
240/9=26.66
now that you know how much 1 gallon of gas can take you you have to divide 216 by 26.66 to find how many gallons you would need
216/26=8.10
simplify the expression
- 1/8 -2/7
pls help :)
A circle has a diameter of 16 cm. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
the answer is 50.27 cm for your question
round 9.17302 to the nearest thousandths tenths and nearest unit
Answer:
170000
Step-by-step explanation:
17000
When simplifying an algebraic expression, we are allowed to combine "like terms.” How do we know when two or more terms are “like”?
Answer:
Like terms mean that they have the same power/exponent, variable, or normal numbers. Like,
2 , 3 are like terms
2² , 5² are like terms
[tex]x^{3}[/tex] , [tex]x^{2}[/tex] are not like,
y, v are not like,
y , y are like
If my answer helped, please mark me as the brainliest!
Thank You !
2(x+1)=3x-x+2 help fast and show work please
Answer:
0=0
Step-by-step explanation:
[tex]2(x+1)=3x-x+2\\\\\mathrm{Add\:similar\:elements:}\:3x-x=2x\\2\left(x+1\right)=2x+2\\\\\mathrm{Expand\:}2\left(x+1\right):\quad 2x+2\\2x+2=2x+2\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2x+2-2=2x+2-2\\\\Simplify\\2x=2x\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-2x\\\\Simplify\\0=0\\\\\mathrm{True\:for\:all}\:x[/tex]
Which expression is equivalent to 5^-2 x 5^5?
A. 25^-10
B. 5^-10
C. 5^3
D.25^3
(Look at the picture)
Answer:
C
Step-by-step explanation:
A package of 3 pairs of insulated socks costs $19.47 What is the unit price of the pairs of socks ?
Answer:
You're answer is 6.49 hope this helps
Answer:
the correct answer is $6.19
Step-by-step explanation:
How are factors and products connected
Answer the following questions for the expression:
-5x + 3y - 72 + 10
Each question is worth 2 points, please answer each part to receive full credit.
a) How many terms does the expression have?
b) What is the constant of the expression?
c) What is the third term in the expression?
d) What is the coefficient of the second term?
Which expression is equivalent to √100 + 4√10 + 3 − 8√10?
10 − √10
−4√10 + 13
3 − 2√10
√10
Answer:
2nd option
Step-by-step explanation:
√100 + 4√10 + 3 - 8√10
√100 can be written as 10
so it becomes,
10 + 4√10 + 3 - 8√10
-4√10 + 13
Hope this helps
plz mark as brainliest!!!!!!
The equivalent expression to √100 + 4√10 + 3 - 8√10 is [tex]- 4\sqrt{10} + 13[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
The given expression is √100 + 4√10 + 3 - 8√10.
= [tex]\sqrt{10\times 10} + 4\sqrt{10} + 3 - 8\sqrt{10}[/tex].
Now, we'll combine the terms having the same radical value inside.
[tex]= 10 + 3 - 4\sqrt{10}[/tex].
[tex]= 13 - 4\sqrt{10}[/tex].
Or,
[tex]= - 4\sqrt{10} + 13[/tex].
learn more about radicals here :
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1: name three collinear points
2: name DC 2 different ways
3: name the intersection of line f and AB
4: name the intersection of planes Q and P
5: give another name of plane p
Answer:
(I). The collinear points are DC, and E
(II). The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). The name of the intersection of line FG and AB is CD.
(IV). The name of the intersection of planes P and Q is EF.
(V). The another name of plane PQ is QP.
Step-by-step explanation:
Given that,
The following questions are,
(I). We need to find the name three collinear points
Using diagram
The collinear points are DC, and E
(II). We need to find the name of DC to different ways
Using diagram
The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). We need to find the name of the intersection of line FG and AB
Using diagram
The name of the intersection of line FG and AB is CD.
(IV). We need to find the name of the intersection of planes P and Q
Using diagram
The name of the intersection of planes P and Q is EF.
(V). We need to find the another name of plane PQ
Using diagram
The another name of plane PQ is QP.
Hence, (I). The collinear points are DC, and E
(II). The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). The name of the intersection of line FG and AB is CD.
(IV). The name of the intersection of planes P and Q is EF.
(V). The another name of plane PQ is QP.
A charitable nonprofit organization wants to test two methods of fundraising. From a list of 1,000 past donors, half will be sent literature about the successful activities of the charity and asked to make another donation. The other 500 donors will be contacted by phone and asked to make another donation. The percentage of people from each group will be compared. (Select all that apply.)
A) After the donation collection period, calculate the average or total amount collected from the 500 donors in the treatment group.
B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.
C) A placebo is not being used.
D) Randomly select 100 donors to receive the literature and 900 donors to receive the phone call.
E) A placebo is being used for the remaining 900 donors.
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.
Answer:
The correct selections are:
B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.
C) A placebo is not being used
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.
Step-by-step explanation:
What this question requires from you, is to identify the correct characteristics of the study described. Let us explain why each of the selections was made.
B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups: The purpose of the study is to determine the difference in the effectiveness of two methods of fundraising. Therefore at the end of the study, the average total amount raised from each group will be compared to determine which was more effective.
C) A placebo is not being used: Placebos are sham treatments used in a control group without their knowledge. The placebos do not produce any effect similar to the results anticipated the actual treatment. Here, no group is given sham treatment, there is no "control" group given placebos hence placebos are not used.
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call: To remove any form of bias in the study, the selection of the groups is done at random, and the number of participants in each group is the same, so as to maintain uniformity during the comparison.
The right statement selection will be of these are:
A) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.
C) A placebo is not being used.
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.
Use a random number generator to choose from a list of [tex]1000[/tex] past donors, half will be i.e.,[tex]=\frac{1000}{2} =500[/tex] will be sent literature, and the other 500 donors will be contacted by phone.
And the percentage of people from each group will be compared i.e. we make the total amount from each of the two treatment groups.
In this case, Placebo is not used.
Learn more: https://brainly.com/question/24131735
Which number is the same as 125,000,000
a) 1.25 x 10 to the power of 6 c) .125 x 10 to the power of 6 e) 125 million
b) 125,000 million d) 1.25 million
Answer:
c
Step-by-step explanation:
I'm pretty sure the answer is c
Through an extensive computer search, a genealogist determined that worldwide, 250 out of every 10 million people had his last name. What percent is this?
Answer:
.0025%
Step-by-step explanation:
You would first take 250 and divide it by 10 million
you would get .000025 you would then multiple it by 100 to get .0025
