A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 16+6.2n and 10+6.5​n, where n is the number of smaller​ boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger​ box?

Answers

Answer 1

Answer:

20 smaller boxes

Step-by-step explanation:

Given

Smaller Box = 10 + 6.5n

Larger Box = 16 + 6.2n

Required

Determine the number of small box in each box

To do this, we simply equate both expressions:

[tex]Smaller\ Box = Larger\ Box[/tex]

[tex]10 + 6.5n = 16 + 6.2n[/tex]

Collect Like Terms

[tex]6.5n - 6.2n = 16 - 10[/tex]

[tex]6.5n - 6.2n = 6[/tex]

[tex]0.3n = 6[/tex]

Make n the subject

[tex]n = 6/0.3[/tex]

[tex]n = 20[/tex]

Hence, there are 20 smaller boxes


Related Questions

The graph of a linear function “f” passes through the point (1, 3) and has a slope of 3.
What is the y-intercept?

Answers

Answer:

0

Step-by-step explanation:

Using slope intercept as ref (y=mx+b)

plug in the x and y x=1 and y=3 and the slope m=3

3=3(1)+b

solve for b

3=3+b

b=0

what does x = ? need help with the pythagorean theorem

Answers

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

i can’t figure this one out

Answers

Answer:

H.

Step-by-step explanation:

the number of premiums sold in week 3 was 50

the number of premiums sold in week 2 was 25

25 times 2 is 50

someone please help me understand how to do this

Answers

Answer: These are the answers for the first section

A) 1/5(10)-4= -2

B) 1/5(-15)-4= -7

C) 1/5(2)-4= -3.6

Step-by-step explanation: You plug in those numbers for X

SOmeone SMART HELP ME OMG

Answers

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

4) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?

Answers

Answer:

675

Step-by-step explanation:

If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price

Let x be the original price

x* 80% = 540

Change to decimal form

x * .80 = 540

Divide each side by .80

.80x / .80 = 540/.80

x =675

The original price is 675

Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.​

Answers

Step-by-step explanation:

[tex]\sf 2x-y-3=0\dots \dots (1)[/tex]

[tex]\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)[/tex]

from eq (1)

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-y-3=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-3=y [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 \dots\dots(3)[/tex]

Substitute the value in eq(2)

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4y-65=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x +4 (2x-3)-65=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+8x-12-65=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-77=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x=77 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {77}{11}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]

Substitute the value in eq (3)

[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2 (7)-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=14-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=11 [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf (x,y)=(7,11)}}}[/tex]

helpppppppppp plsplspls

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

Sugar needed for 6 batches =  2.4

Cinnamon needed for 6 batches =  0.06

 Step-by-step explanation:

Sugar needed for one batch = 0.4

Sugar needed for 6 batches = 0.4 * 6 = 2.4

Cinnamon needed for 1 batch = 0.01

Cinnamon needed for 6 batches = 0.01  * 6 = 0.06

 

can someone please help me i dont understand this

Answers

Answer:

(-2,12)(-1,10)(0,8)(1,6)

Step-by-step explanation:

It has a constant slope of -2/1  *y2-y1/x2-x1*

40 - 2× 3². What the answer

Answers

I believe the answer is 22!

Answer:

The answer is 22

Step-by-step explanation:

40-2(3^2)

= 40 - (2)(9)

= 40 - 18

= 22

Hope this helps

The table below shows data on the number of emergency room admissions recorded over the span of one shift.

Which of the following graphs displays the same information as that shown in the table

Answers

Answer:

C. III

Step-by-step explanation:

Answer:

C: III

Step-by-step explanation:

I know that's the answer.

You are welcome

Which of the folllowing is the equation of a line perpendicular to the line y=-10x+1, passing through the point (5,7).

Answers

This is your perfect answer

Answer:

[tex]y=\frac{1}{10}x+6.5[/tex]

Step-by-step explanation:

We know that a perpendicular line is the slopes reciprocol, so we just flip it.

10/1 --> 1/10

y = 1/10x + b

Now we plug in the coordinates to solve for the y-int!

7 = (1/10)5 +b

7 = 1/2 + b

Subtract 1/2 on both sides!

6.5 = b

Reform equation!

[tex]y=\frac{1}{10}x+6.5[/tex]

Brainliest Appreciated!

Devin and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be
one week long, another two days, and the other two weeks.
Оа
ob
Factorial; 5040 possible choices
Fundamental Counting Principle; 196 possible choices
Combination; 35 possible choices
Permutation; 210 possible choices
Od

Answers

Answer:210

Step-by-step explanation:

convert 37 percentage into a fraction

Answers

37/100. Easiest way possible

Answer:

37/100

Step-by-step explanation:

NEED HELP ASAP
An airplane is heading due north at 700 kph, and a wind blows at 60 kph in the direction S 45° E. What is the plane’s ground speed?

640.00 kph
658.94 kph
700.00 kph
743.64 kph

Answers

Answer:

the planes ground speed is 658.94 kph

Step-by-step explanation:

The ground speed of the plane with respect to the wind is determined as 658.94 kph.

Ground speed of the plane

The ground speed of the plane is determined from the resultant speed of the plane with respect to the wind.

R² = 700² + 60² - 2(700)(60)cos45

R² = 434,203.03

R = √434,203.03

R = 658.94 kph

Thus, the ground speed of the plane with respect to the wind is determined as 658.94 kph.

Learn more about resultant speed here: https://brainly.com/question/15093278

#SPJ2

Rehman invests his summer earnings of $3050. He invests past of the money at 8%/year, and the rest at 7.5%/year. After 1 year, these investments earn 242$ in simple interest. How much did he invest at each rate?

Answers

Answer:

let he invest x part of earning at the rate of 8%

simple interest = P*T*R/100 = x*1*8/100 = 0.08x

His invest at the rate of 7.5% = 3050 - x

Again simple interest = P*T*R/100 = (3050 - x)*1*7.5/100 = 228.75 - 0.075x

N0w acc0rding to question

0.08x + 228.75 - 0.075x = 242

0.005x= 13.25

x = 2650

rehman invest 2650 at 8% per year

He invest (3050-2650) = 400 0n 7.5% per year

Step-by-step explanation:

I’ll give you brainlest if you solve this!! Pleasee

Answers

Answer:

1, -0.5, -1/4, 0, 0.75

Step-by-step explanation:

i have no clue on the second onde

2/3 x -4 is the problem to solve

Answers

Answer:

-2.66666667

Step-by-step explanation:

If j and k are nonzero integers, which pair of points must lie in the same quadrant?
(j, j) and (k, k)
(j, k) and (jk, jk)
(j + k, 3) and (3, j + k)
(3j, 3k) and (StartFraction 3 Over j EndFraction, StartFraction 3 Over k EndFraction)

Answers

Answer:  Choice D.   (3j, 3k)  and (3/j, 3/k)

The slash indicates a fraction.

=============================================

Proof:

We'll need to consider 4 different cases.

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

Case (1): j > 0 and k > 0

If j > 0, then 3j > 0 and 3/j > 0

If k > 0, then 3k > 0 and 3/k > 0

The two points (3j, 3k) and (3/j, 3/k) are both in quadrant 1.

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

Case (2): j > 0 and k < 0

If j > 0, then 3j > 0 and 3/j > 0

If k < 0, then 3k < 0 and 3/k < 0

Points (3j, 3k) and (3/j, 3/k) are both in quadrant 4.

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

Case (3): j < 0 and k > 0

If j < 0, then 3j < 0 and 3/j < 0

If k > 0, then 3k > 0 and 3/k > 0

Points (3j, 3k) and (3/j, 3/k) are in quadrant 3.

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

Case (4): j < 0 and k < 0

If j < 0, then 3j < 0 and 3/j < 0

If k < 0, then 3k < 0 and 3/k < 0

Points (3j, 3k) and (3/j, 3/k) are in quadrant 4.

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

For nonzero integers j and k, we've shown that Points (3j, 3k) and (3/j, 3/k) are in the same quadrant. This concludes the proof.

Answer:

D

Step-by-step explanation:

if u subtract 17 from my number and multiply the difference by -5 the result is -25 what is the number

Answers

22

(X-17)-5=-25
Divide by -5
X-17= 5
Add 17 to both sides
X=22

Answer:

the number is 22

Step-by-step explanation:

let the number be x

-5(x-17) = -25

-5x + 85 = - 25

-5x = - 25 - 85

-5x = - 110

x = - 110 ÷ - 5

x = 22

Check answer

- 5 × ( 22) + 85

- 110 + 85

- 25

QUICKKKKKKK

How can a system of equations be used to solve a real-world problem? Use the steps from this lesson in your explanation???

Answers

Answer:

Steps For Solving Real World Problems

2. Highlight the important information in the problem that will help write two equations.

3. Define your variables.

4. Write two equations.

5. Use one of the methods for solving systems of equations to solve.

6. Check your answers by substituting your ordered pair into the original equations.

Answer:

First, the two equations using two variables need to be written to represent the situation. Then the equations can be graphed. Find the point of intersection of the two linear functions. Match each value to the corresponding variable to interpret the solution.

I need someone’s help please I don’t know this that well

Answers

Answer:

raiz de 84 = 9.16

Step-by-step explanation:

la ubicacion que debes de poner es en la primera linea que te anexe en la linea

What is −2y + 10 + 2y − 8 simplified? A. 10 B. 8 C. 6 D. 2

Answers

Answer: 4y + 2

Step-by-step explanation:

IM JUST DIFFERENT;D

please help thanks.

Answers

Answer:

Option A

I hope this helps!

Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population?

Answers

Answer:882

Step-by-step explanation:5 percent of 840 is 42 so 840 plus 42

Answer:

882

Step-by-step explanation:

Write a rule for the translation.

A. ( x - 1, y + 2 )
B. ( x + 2, y - 1 )
C. ( x - 2, y + 1 )
D. ( x + 1, y - 2 )​

Answers

Answer:

Option B. ( x + 2, y - 1 ) is the correct answer.

Step-by-step explanation:

First of all, we have to write the coordinates of vertices of both triangles and then compare the respective vertices to find the rule,

So the vertices are:

A(-4,2) , B(-3,4) and C(-1,1)

A'(-2,1), B'(-1,3) and C'(1,0)

By comparing respective vertices we can observe that

A(-4,2) => (x+2,y-1) => A'(-2,1)

B(-3,4) => (x+2,y-1) => B'(-1,3)

C(-1,1) => (x+2,y-1) => C'(1,0)

Hence,

Option B. ( x + 2, y - 1 ) is the correct answer.

A carpenter use 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases?

Answers

Answer:

Yes.

Step-by-step explanation:

First, find the unit rate for 1 bookcase.

65 ÷ by 13 = 5 (unit rate)

Then, multiply the unit rate by the bookcases the carpenter wants to make.

6 · 5 = 30

Finally, subtract the shelves the carpenter wants to use by 30.

32 - 30 = 2 shelves.

Therefore, 32 shelves is enough to build 6 more bookcases. <3

Dean used a triple beam balance to find that the mass of a rock was 40 g and he used a graduate cylinder that measures the volume is 5 ml. What is the density?

a
9 m/l
b
10 g/ml
c
6 g/ml
d
8 g/ml




PLSSSSSSSSSSSSSSSSSSS HELP MEEEEEEEEEEEEEEEEE

Answers

Answer:

Never bwa hahaha JK try d

Step-by-step explanation:

I need help on all of them :(

Answers

1)equilateral triangle
2) right angle triangle
3)isosceles triangle
For the calculation part use calculator
1-equilateral 2-right 3-isosceles

La fábrica Font Magdalena elabora 6 845 magdalenas diarias y, al empaquetarlas por docenas, utiliza 570 bolsas y le sobran 5 magdalenas. En cambio, la fábrica María Magdalena elabora el doble de magdalenas que la otra fábrica y las empaqueta en cajas de dos docenas. Sin hacer cálculos, ¿cuántas magdalenas le sobran a la segunda fábrica?

Answers

Answer:

5 magdalenas

Step-by-step explanation:

Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.

Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.

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