you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase

Answers

Answer 1

Answer:

7

Step-by-step explanation:

one bag of candy for every three people

12 ÷ 4 = 3

21 ÷ 7 = 3

Answer 2

Answer:

7  

Step-by-step explanation:

Apply proportions:

People/bag of candy

[tex]\frac{12}{4}[/tex]

For 21 people

[tex]\frac{21}{x}[/tex]

Equal both expressions

[tex]\frac{12}{4} =\frac{21}{x}[/tex]

Solve for x:

[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]

You should purchase 7 bags of candy


Related Questions

Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)

Answers

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.

ok there’s the science slides , and i think they are quite easy i just need some help bc im lazy . ik this is the math thing but

Answers

Answer:

just look up the answers on google

Step-by-step explanation:

What is the simplified expression for
44 • 43 45

Answers

The third one, 4^2 is the answer. Let me know if I got wrong

Answer:

D

Step-by-step explanation:

the simplified version is 16 I'm not sure tho.

-(x-7) + (5/3) = 2(x+9) wht does x equal

Answers

Answer:

-28/3=x

Step-by-step explanation:

-(x-7) + (5/3) = 2(x+9)

-x+7+5/3=2x+18

7+5/3=2x+18-x

7+5/3=x+18

5/3=x+18-7

5/3=x+11

5/3-11=x

Ahora todo se pasa a base 3

[tex]\frac{5-33}{3}[/tex]=x

-28/3=x

The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6​-foot boat weighs 102 ​pounds, then what is the weight of a 11​-foot ​boat? The weight of a 11​-foot boat is nothing pounds

Answers

Answer:

The 11 foot boat ways 187 pounds

Step-by-step explanation:

102 / 6 = 17

17 * 11 = 187

(8x + 6) ° = ___°
8x =
x =

Answers

Answer:

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

Choose the correct written expression for: 25 – (3 x 4).

Answers

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

Simplify 9 to the 2nd power\ 9 to the 7th power

Answers

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z

Answers

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]

Answers

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{2}{5\sqrt{3} }[/tex]

To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]

= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]

= [tex]\frac{2\sqrt{3} }{15}[/tex]

-----------------------------------------------------------------------

Given

[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]

Multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then

= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL

= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]

= [tex]\frac{9+4\sqrt{5} }{1}[/tex]

= 9 + 4[tex]\sqrt{5}[/tex]

Given the points: (-2, 0) and (4,8) find the slope

Answers

Answer:

1&1/3

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(8 - 0) / (4 +2)

8/6

1 1/3

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

D

Step-by-step explanation:

A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m

Answers

Answer:

m=45

Step-by-step explanation:

I hour travels 45 minutes

Answer:

m=45h

Step-by-step explanation:

your welcome

Write the equation of a line with a slope of 1/4 and a y-intercept of -5 in slope intercept form.

Answers

Answer:

y=1/4x-5

Step-by-step explanation:

slope goes before x and y intercept is the number with no variable.

The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0




please help quickly​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the information above :

A) Cost equation for Newton Telephone company :

y = 8x

Where x = number of minutes used

y = total cost for x minutes

Cost equation for Tryus telephone company :

y = connection fee + (fee per minute * number of minutes)

y = 42 + (2x)

Where x = number of minutes used

y = total cost for x minutes

Amount is in cent

if 3n-4=8 then what is the value of 5n-3

Answers

Answer = 17
Explanation : n= 4 so 3*4= 12-4 is 8
So 5n-3 , plug 4 in , 5*4-3=17

1/8 divided by 2 3/4

Answers

Answer:

2 and 1/8

Step-by-step explanation:

Reduce fractions where possible.

Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.

[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.

The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].

Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.

[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]

[tex]= \frac{11}{4}[/tex]

Now, we can rewrite the expression as:

[tex]\frac{1}{8} \div \frac{11}{4}[/tex]

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

[tex]\frac{1}{8} \times \frac{4}{11}[/tex]

Next, let's simplify the multiplication:

[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]

We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

[tex]\frac{4}{88} = \frac{1}{22}[/tex]

Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?

Answers

$49.73

because you would multiply the length and width of the fence then multiply by the price.

3.4 x 6.5 = 22.1

22.1 x 2.25 = 49.725

but you would round because you are dealing with money

angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.

Answers

Answer:

50° and 130°

Step-by-step explanation:

Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°

3x-4+8x-14=180°

11x-18=180°

11x=198°

x=18°

Angle1 = 3*18 -4 = 50°

Angle2 = 8*18 -14= 130°

can someone help me with this

Answers

A ) 40

2^2=4
6^2=36
4+36=40

Help I need help on this question

Answers

Answer:

1/3 is the y intercept

Step-by-step explanation:

f(x) = -2/9x + 1/3

This is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2/9 is the slope and 1/3 is the y intercept

pleaseeeeeeeeeeeeeeeee solve this

Answers

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

17+7j=87
What does j equal???????

Answers

if i’m not mistaking it’s j = 10

Answer:

j=10

Step-by-step explanation:

17+7j=87

7j=70

j=10

find the value of x - PLEASE HELP

I need to show my work -

Thank you!!

Answers

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

if the equation doesn’t cross the X-axis

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 110 sec and a standard deviation of 15 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.) seconds or less

Answers

Answer:

The task times is  [tex]x =90.77 \ s[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu  =  110 \ sec[/tex]

   The standard deviation is  [tex]\sigma =  15 \  sec[/tex]

 

Generally the task times that qualify individuals for such training is mathematically represented as

      [tex]P(X  <  x) =  0.10[/tex]

=>    [tex]P(X  <  x) = P( \frac{X - \mu}{\sigma }  <  \frac{x - 110}{15} )  = 0.10[/tex]

Generally [tex]\frac{X - \mu}{\sigma }   = Z (The  \ standardized \  value  \  of  X )[/tex]

=>   [tex]P(X  <  x) = P( Z <  \frac{x - 110}{15} )  = 0.10[/tex]

Generally the z -score   of  0.10  from the z-table  is

      [tex]z -score =  -1.282[/tex]  

So

      [tex]\frac{x - 110}{15}   =  -1.282[/tex]

=>    [tex]x =90.77 \ s[/tex]

-7+0.3(-4x+20)+8.8x simplified

Answers

The answer would be

7.6x−1

.....

A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?

A) 1/2
B) -1/2
C) 2
D) -2​

Answers

Answer: Its A

Step-by-step explanation:

It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?

Answers

Answer:

456

Step-by-step explanation:

Answer:

i think its 0.09

Step-by-step explanation:

Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.

Complete the table to determine the total cost for 1, 2, 3, and 4 hours.

Answers

Answer:

Step-by-step explanation:

Let the number of hours used to rent the boat be represented by h.

Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:

= $20.50 + $12.25h

where h = number of hours used.

The cost for 1 hour will be:

= $20.50 + $12.25h

= $20.50 + $12.25(1)

= $20.50 + $12.25

= $32.75

The cost for 2 hours will be:

= $20.50 + $12.25(2)

= $20.50 + $24.50

= $45

The cost for 3 hours will be:

= $20.50 + $12.25h

= $20.50 + $12.25(3)

= $20.50 + $36.75

= $57.25

The cost for 4 hours will be:

= $20.50 + $12.25h

= $20.50 + $12.25(4)

= $20.50 + $49

= $69.50

=

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