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3 years ago

There are 100 centimeters in 1 meter. How many centimeters are 118 meters?

Mathematics

2 answers:

SpyIntel [72]3 years ago

8 0

Answer:

11800

Step-by-step explanation:

atroni [7]3 years ago

4 0

Answer:

11800

Step-by-step explanation:

since there are 100 centimeters you just add the number of zeros to the end of the number of meters

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Find the discount savings on a bicycle that originallycosts $230 but is on sale for 40% off. Show yourwork.

ioda

Answer:

You would save 92$

Step-by-step explanation:

Discount = Original Price x Discount 40/100

Discount = 230 × 40/100

Discount = 230 x 0.4

You save = $92.00

Final Price = Original Price - Discount

Final Price = 230 - 92

Final Price = $138.00

Hope this helps

3 0

3 years ago

(15-16) Consider the Infinite Geometric Series:

vodka [1.7K]

15 Answer: S₁ = 1 S₂ = 4 S₃ = 13 S₄ = 40 Sum = NO

Step-by-step explanation:

1 + 3 + 9 + 27 + ... $\implies\sum^{\infty}_{n=1}3^{n-1}\implies\sum^{\infty}_{n=1}\dfrac{3^n}{3}\\\\\bullet S_1=1\\\bullet S_2=1+3=4\\\bullet S_3=1+3+9=13\\\bullet S=1+3+9+27=40\\\\\\ \lim_{n \to \infty} \dfrac{3^n}{3} \implies\dfrac{3^{\infty}}{3}\implies\infty\\\\\text{The series diverges so there is no sum.}$

16 Answer: $\bold{S_1=\dfrac{1}{2}\qquad S_2=\dfrac{2}{3}\qquad S_3=\dfrac{13}{18}\qquad S_4=\dfrac{39}{54}\qquad Sum=YES}$

Step-by-step explanation:

$\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{162}+...\implies \sum^{\infty}_{n=1}\dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\\\\\\\bullet S_1=\dfrac{1}{2}\\\\\bullet S_2=\dfrac{1}{2}+\dfrac{1}{6}=\dfrac{2}{3}\\\\\bullet S_3=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}=\dfrac{13}{18}\\\\\bullet S_4=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}=\dfrac{39}{54}$

$\lim_{n \to \infty} \dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\implies \dfrac{1}{2}\lim_{n \to \infty} \dfrac{1}{3^{\infty-1}}\implies \dfrac{1}{\infty}=0\\\\\\\text{The series converges so it does have a sum.}$

5 0

3 years ago

At a school, 174 students play at least one sport. This is 75% of the students at the school. How many students are at the sc

boyakko [2]

Answer:

There are 232 students at the school.

Step-by-step explanation:

Let s represent the number of students at the school. We are told ...

174 = 75% × s

174/0.75 = s = 232 . . . . . divide by the coefficient of s

There are 232 students at the school.

3 0

3 years ago

a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con

tankabanditka [31]

Answer:

273 mL of 5%
117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

0.15q + 0.05(390 -q) = 0.08(390)

0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

Additional comment

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

7 0

3 years ago

A Russian blue kitten costs $150 more than Manx kitten 9 blue kittens and 8 Manx kittens costs. Total of 14,100 write down a alg

Dmitriy789 [7]

Answer:

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Step-by-step explanation:

Given that:

Russian blue kitten costs $150 more than Manx kitten.

Cost of 9 blue kittens and 8 Manx kittens = $14100

Let,

x be the price of one Russian blue kitten.

y be the price of one Manx kitten.

According to given statement;

9x+8y=14100

x = y+150

Hence,

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

5 0

3 years ago

There are 100 centimeters in 1 meter. How many centimeters are 118 meters?​

There are 100 centimeters in 1 meter. How many centimeters are 118 meters?