Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people are going on the camping trip. Can zoey make enough 3/4 cup servings so that each person on the trip has on serving?

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = [tex]6\frac{1}{2}[/tex]

Amount of one serving contains = [tex]\frac{3}{4}[/tex] cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

[tex]6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}[/tex]

Therefore, total number of servings available as per the given quantities:

[tex]\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8[/tex]

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.


Related Questions

what is the solution of the system of equations?
y=2/3x+5
7x-3y=15

A. (0,5)
B. (2,19/3)
C.(4,23/3)
D.(6,9)​

Answers

Answer:

(30, 25)

Step-by-step explanation:

Substitute (2/3)x + 5 for y in the second equation:

7x - 3([2/3]x + 5) = 15

Then:

7x - 2x - 15 = 15, or:

5x = 30.  Thus, x = 30, and from the first equation we get:

y = (2/3)(30) + 5 = 20 + 5 = 25

The solution is (30, 25)

can i get some helpers?

Answers

Answer:

congruent, the triangles have 2 congruent sides and a congruent angle, therefore the triangles are congruent by the SAS Theorem

Step-by-step explanation:

5x-28 = 2x+8

3x=36

x=12

x+4 = 2x-8

(12)+4 = 2(12)-8

16 = 16, AB is congruent to DE

x-2 = 3x-26

(12)-2 = (36)-26

10 = 10, AC is congruent to DF

Jiangsu divided 751.6 by 10 to the second power and obtained a quotient of 0.7516. Yessenia thinks the quotient. Who has the reason? Explain your answer.

Answers

Answer:

Yessenia is correct.

Step-by-step explanation:

Supose Yessenia thinks the quotient is 7.516, then Yessenia is correct.

The reason why Yessenia is correct is that, if we interpret the question mathematically, we have:

[tex]= \dfrac{751.6}{10^2}[/tex]

[tex]= \dfrac{751.6}{100}[/tex]

From above the decimal point will shift to the left twice since we are dividing 751.6 by 100, which is:

= 7.516 and not 0.7516

Can somebody please help meee out ?? I don’t understand this .

Answers

Answer:

(-5,3)-3/2=(-1,-3)

Step-by-step explanation:

So the slope intercept form is 3/2 and the points are (-5,3) and (-1,-3)

y intercept form is y=mx+b.

I hope one of those helps

Answer:

the equation for the function shown is y= -3/2x -9/2

Step-by-step explanation:

You can find the slope of the graph by counting how many spaces up or down over how many spaces left or right between two points. Start from the left of the graph and go towards the right of the graph when doing this. If you count the spaces between the two points on the graph, it is down six units (-6 on top) and 4 units right (4 on bottom) to get a slope of -6/4, which can be simplified by dividing both the top and bottom by two to get a slope of -3/2. Next you can use the point-slope form to find the equation of the graph in the form y=mx + b. Point slope form looks like this: y-y1=(the slope)(x-x1).

Plug in what you got for the slope and the coordinates for any point on the graph (the y coordinate replacing y1 and the x coordinate replacing x1). Here, I used the point (-1, -3), but you should get the same answer no matter what point you use, as long as it is a point on the graph:=> y-(-3)= -3/2(x-(-1))

=>y+3=-3/2(x+1)

distribute the -3/2 to both terms in the parentheses: y+3= -3/2x -3/2

subtract 3 from both sides to get y by itself (aka to convert to the form y=mx+b): y= -3/2x -9/2 (Here, -9/2 is your y-intercept, or where the graph crosses the y-axis).

PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Explain pls :)

At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?

Answers

Answer:

I think it's

Step-by-step explanation:

73.70×3

221.1

221.1 is the answers

For the equation y-3=2(x+4) the line has a slope of 2 and contains what point?

Answers

Answer:

(-4,3)

Step-by-step explanation:

I got it correct :)

The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

The equation of the line is y - 3 = 2 ( x + 4 )

The slope m = 2

Let the point be = A ( x₁ , y₁ )

The point A can be calculated from the equation of line

From the formula for equation of line , we can substitute the values and find the point A

So ,

Equation of line is y - y₁ = m ( x - x₁ )

Substituting the value of x₁ , y₁ and m in the equation , we get

y - 3 = 2 ( x - ( -4 ) 0

So , y₁ = 3

x₁ = -4

Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )

Hence , the point A is ( -4 , 3 )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ3

Ethan puts $50 on his school lunch card. He buys the same $5 lunch every day. Which equation shows the balance, b, on his card in terms of the number, m, of meals he has
purchased?

Answers

Answer:

b = 50 - 5m

Step-by-step explanation:

i think this is correct but i didnt put much thought into it

What is the slope? (Number)

What is the y-intercept? (Number)

Write a linear equation y=mx + b to represent the table:

Answers

Answer:

slope=1

y-intercept=10

linear equation is y =x+10

Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.

At a local fitness​ center, members pay ​$6 membership fee and ​$2 for each aerobics class. Nonmembers pay ​$4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same? first person gets brainly

Answers

Answer:

for members: 1, 2,3,4,5

for non-members : 2,4,6,8,10

will cost same.

Step-by-step explanation:

6 + 2 = 8

members total $8 for 1 class

non-members total $4 for 1 class

8×2=16

8×3=24

8×4=32

8×5=40

4 × 2 = 8

4×3=12

4×4=16

4×5=20

4×6=24

4×7=28

4×8=32

4×9=36

4×10=40

Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Determine if Jennifer is correct and justify your reasoning.

Answers

Answer:

Jennifer is wrong

Step-by-step explanation:

Jennifer's bank account is growing at a rate of change 10 as per the given function

William’s bank account is growing at a rate of change 14 as per the table

Jennifer is wrong because 10 < 14

A classroom's population went from 25 to 46 in 15 years. What was the percent of change?

a
21%
b
84%
c
16%
d
80%

Answers

The answer is A:21% bc it’s doubled the. The that makes 20% then the extra makes a 1% /21%

plss..I need help...​

Answers

Hi! The answer would be 5.38.
The answer will be 5.38

Ada charges a flat rate of $56.00 for painting houses plus an additional $8.00 for each hour she works. Which of the following expressions should Ada use to determine the cost for working 4 hours?

Answers

Answer:

cost = 56 + 8t, where t is the number of hours worked for.

for 4 hours of work, cost = 56 + 8 x 4 = $88

Step-by-step explanation:

Which fraction represents 0.64 repeating A. 5/12 B. 7/11 C. 2/3 D. 9/13

Answers

Answer:

7/11

Step-by-step explanation:

I could tell it was either 7/11 or 9/13 because I knew 2/3 was .666 and the other one 5/12 is less than half, so it'd be less than .5.

7/11 = .6363

9/13= .6969

7/11 is the closest

Help ASAP ILL GIVE BRAINLIST TO CORRECT PERSON TY! I already solved how much money she needs

Answers

Step-by-step explanation:

Let x be the amount Jennifer needs to spend more.

We have $112.49 + x >= $250.

We subtract $112.49 from both sides of the inequality to get x >= $137.51.

Hence, Jennifer needs to spend at least $137.51 more to earn the free T-shirt.

Answer:

33

Step-by-step explanation:

i think plz dont be mad

10 2/3 - 8 5/8

I DONT NEED AN EXPLANATION

Answers

This the answer 2 1/24

Answer:

2 1/24=49/24

Step-by-step explanation:

Max was fencing in his rectangular pool area. The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet. a) Write and simplify an expression for the perimeter of the pool area to be fenced in. Be sure to include the formula!

Answers

Answer:

(6x + 2) feet

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2L + 2 W

Where L = Length

W = Width

Hence, the:

The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet.

The perimeter of the rectangular pool =

2(2x - 3) + 2(x + 4)

= 4x - 6 + 2x + 8

= 4x + 2x - 6 + 8

= (6x + 2) feet

Therefore, an expression for the perimeter of the pool area to be fenced is (6x + 2) feet

Create a sample division problem with a 2-digit divisor and give an incorrect answer, showing the steps taken to get the incorrect answer.

Answers

Answer:

Incorrect Answer Below

Step-by-step explanation:

Problem: We have a total of 28 candies that need to be divided evenly between 4 students.

(Incorrect) Solution: In order to solve this problem we can seperate the total number of candies into single digits and then divide each digit by 4 like so...

2 / 4 = 0.5

8 / 4 = 2

Now that we have the answer of both of these divisions we can simply add these values together to get the number of candies each student will get

0.5 + 2 = 2.5 candies

The distance a spring stretches varies directly
with the force applied to it. If a 7-pound weight
stretches a spring a distance of 24.5 inches, how
far will the spring stretch if a 12-pound weight is
applied?
A. 3.4 inches B. 19.5 inches
C. 42 inches D. 294 inches

Answers

Its c 42 inches :)............

Which of the following expressions has the same meaning as “increase n by 25%
0.25n
0.75n
1.25n
1.75n

Answers

I believe it would be .25n
Hopefully it’s right

Answer:

1.25n

Step-by-step explanation:

n times 125% would be increasing it by 25%, so multiplying it by 1.25 would accomplish the same thing

A store is offering a 20% discount. The original price of a t-shirt is $18. What is the sale price of the t-shirt?
(no tax included)

Answers

Answer:

$3.6

Step-by-step explanation:

I looked it up, I don't know how to do that on my own

If the domain of the function f(x)=2x^2-8 is {-2, 3, 5}, then the range is

Answers

Answer:

{0, 10, 42}

Step-by-step explanation:

The Domain acts like x and the Range acts like y and f(x) = y

f(x) = 2x^2 - 8

f(-2) = 2(-2)^2 - 8

f(-2) = 2(4) - 8

f(-2) = 8 - 8

f(-2) = 0

f(3) = 2(3)^2 - 8

f(3) = 2(9) - 8

f(3) = 18 - 8

f(3) = 10

f(x) = 2x^2 - 8

f(5) = 2(5)^2 - 8

f(5) = 2(25) - 8

f(5) = 50 - 8

f(5) = 42

To check, look at the graph below ---

                                                             |

                                                            V

Can anyone tell me why I got this question wrong? Btw Happy Holidays!

Answers

Answer:

Hope this may helps you

Answer:

Column A:

You calculate slope doing y2-y1/x2-x1

So -10-1/5-(-2)= -11/7

Column B:

Rearrange the equation to get y

-3x+2y=7

2y=3x+7

y= 1.5x + 7

Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.

Rate positively and give brainlist

b) Which is the better -17%off35$or12%off32?

Answers

Answer:

Hi :)

Step-by-step explanation:

Roger spent 22 minutes on his math homework and 25.08 minutes on his spelling
homework. He spent percent more time on his spelling homework.

Answers

Answer:

114%

Step-by-step explanation:

okay, so we know he spent 22 minutes on math and 25.08 on spelling.

m=22

s=25.08

so to find a percent, you have to divide s/m

s/m= 25.08/22

s/m= 1.14

because this is a decimal, we have to convert it to a percent

114%

to check the answer, multiply 22 times 114%

the answer is 25.08, so we know we got the right answer.

Tessa bought stock in a restaurant for $297.00. Her stock is now worth $356.40. What is the percentage increase of the value of Tessa's stock?

Answers

Answer:

20% increase

Step-by-step explanation:

We want to compute the percentage increase

Percent increase in price is expressed as

=(Change in price)/old price *100

=356.4-297/297*100

=59.4/297*100

=0.2*100

=20%

Question #6
What is 3/4 divided by 1/8 Explain or show your reasoning.

Answers

3/4 divided by 1/8 is 6

Answer: 6

Step-by-step explanation:

3/4 divided by 1/8 is the same as 3/4 multiplied by the reciprocal of 1/8( which is 8) therefore, 3/4 ×8=6

This can help you remember how to multiply fractions :Dividing fractions is easy as a pie, flip the second number and multiply, and don't forget to simplify, before its time to say goodbye.

Complete the table and then graph the function.y= -4x + 34

Answers

Answer:

Step-by-step explanation:

can i get some help please?

Answers

Answer:

∠ L = 109°

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent.

Thus ∠ J = ∠ G , substitute values

3x + 12 = 2x + 19 ( subtract 2x from both sides )

x + 12 = 19 ( subtract 12 from both sides )

x = 7

Then

∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°

∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°

By the sum of angles in a triangle = 180°, then

∠ F = 180° - (33 + 38)° = 180° - 71° = 109°

∠ F and ∠ L correspond , thus

∠ L = ∠ F = 109°

HELP! Please help! Thank you so much!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?

Answers

Answer:

0-5

Step-by-step explanation:

1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.

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