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Ulleksa [173]
3 years ago
7

Kellogg's produced 715000 boxes of cornflakes this year. This was 110% of annual production last year. What was last year's annu

al production?
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0
Let last year product be x boxes.

110% of x means \displaystyle{  \frac{110}{100}\cdot x.

Thus, we solve the equation:

                                  \displaystyle{ \frac{110}{100}\cdot x=715,000.

Multiplying both sides by  \displaystyle{ \frac{100}{110}, we have:

                    \displaystyle{ x=715,000 \cdot \frac{100}{110}=650,000.


Answer: Last <span>year's annual production was 650,000 boxes.</span>
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Please explain every step
pogonyaev
<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}

<u>Identify the following's</u>:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

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

\sf Geometric \ Sum \ of  \ Terms = \dfrac{a(r^n - 1)}{r-1}

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

Solving Steps:

<em />\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}<em />

<em />

<em />\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}<em />

<em />

<em />\rightarrow \sf 761679.5808<em />

<em />

\rightarrow \sf 761680 \ \ \  (rounded \ to \ nearest \ integer)

8 0
2 years ago
AB = 6cm , AC = 12cm <br> Calculate the length of CD <br> Give your answer to 3 significant figures
Len [333]

Answer:

144-36=108

Square root 108 = 10.4cm (cb)

Soh Cah toa

Sin(55) =o/h

=10.4/h

xh

H x sin55 =10.4

÷sin55

H= 10.4/sin55

H=12.7cm

CD is 12.7cm to 3 s.f.

6 0
2 years ago
5$ is the cost and the cost per ride is 50 cent , if your parents give you 20$ . Write and solve a linear equation to find how m
Lesechka [4]

ANSWER= 30 rides

STEP-BY-STEP EXPLANATION

y=mx+b

m= $0.5 (per ride)

b= $5 (the cost)

x(rides)  and y(parents money)

y= 0.5 x + 5

20= 0.5 x +5

20 - 5 = 0.5 x

15=0.5x

x= \frac{15}{0.5}

x=30 rides

4 0
3 years ago
You have $138 in a savings account and save $12 per week. Your friend has $98 in a savings account and saves $17 per week. How m
r-ruslan [8.4K]

Solution

Provided :-

• I have $138

• I save $12 per week

• Friend have $ 98

• He saves $17 per week

Let the number of weeks required to have same balance be x

→ 138 + 12x = 98 + 17x

→ 138 - 98 = 17x - 12x

→ 40 = 5x

→ x = 8

So we need 8 weeks

4 0
3 years ago
Read 2 more answers
Help please! 10 points!
NISA [10]

Let's assume

number of chairs =x

number of tables =y

we are given

Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 each

So, we can find objective function as

Z=45x+70y

now, we can find inequalities

A table requires 10 hours and $15 worth of supplies to make

so, total hours to make table =10y

amount spent on table =15y

It takes Gavin 4 hours and $10 worth of supplies to build each chair

so, total hours to make chair =4x

amount spent on chair =10x

total number of hours to make chair and table =4x+10y

Gavin wants to work for no more than 40 hours per week

so, we get

4x+10y\leq 40

spend no more than $80 on materials

so, we get

10x+15y\leq 80

so,

objective function:

Z=45x+70y

Constraints:

4x+10y\leq 40

10x+15y\leq 80



7 0
3 years ago
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