Mathematics, 16.01.2020 23:31 niescarlosj

Abakery measured the mass of a whole cake as 0.870 kg. a customer bought one slice of the cake and measured the mass of the slice as 0.1151 kg. what is the mass of the remaining cake, without the one slice? express your answer in kilograms using the appropriate number of significant figures.

Answers: 1

Show answers

Answers

Answer from: gmoney1973

The mass of the remaining cake is 0.755 kg.FURTHER EXPLANATION

The mass of the remaining cake can be obtained straightforwardly by getting the difference of the masses of the whole cake and the cake slice:

$mass \ of \ remaining \ cake \ = mass \ of \ whole \ cake \ - \ mass \ of \ one \ slice$

Sorting the given and plugging them into the equation would give:

$mass \ of \ remaining \ cake \ = 0.870 \ kg - 0.1151 \ kg\\\\\\\boxed {mass \ of \ remaining \ cake = 0.7549 \ kg}$

The problem requires that the answer be expressed with the correct number of significant figures. To do so, recall the rules for determining the number of significant figures needed:

Significant Figures: Addition and Subtraction

The final answer must have the same number of decimal places as the given with the least number of decimal places.

Significant Figures: Multiplication and Division

The final answer must have the same number of significant figures as the given with the least number of significant figures.

Significant Figures: Rounding Off RulesIf the last digit is followed by 1 to 4, it will be unchanged and the other digits dropped. (Example: 1.234 is rounded to 1.2)If the last digit is followed by 6 to 9, then it will be increased by one and the other digits dropped. (Example: 1.264 is rounded to 1.3)If the last digit is followed by 5:and 5 is followed by zeros or no digit at all, the last digit will be unchanged if it is even or will increase by one if it is odd. (Example: 1.450 is rounded to 1.4; 1.550 is rounded to 1.6)and 5 is followed by nonzero digits, the last digit is increased by 1. (Example 8.7517 is rounded to 8.8)

Based on the rules above, the final answer to this problem must have 3 decimal places since the given with the least number of decimal places has 3 (0.870 kg). The last digit is 4 (0.7549 kg) and is followed by the digit 9, hence, it will be increased by one. Based on the rounding rule, the final answer must be:

$\boxed {\boxed {mass \ of \ remaining \ cake \ = 0.755 \ kg}}$

Learn MorePlace Values linkSignificant Figures linkKeywords: Rounding Off, Significant Figures

Answer from: Quest

d.192

step-by-step explanation:

12*16=192

Answer from: Quest

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

-3 -3

y=-4x+5

Which of the following equations is equivalent to y+3=-4(x-2)?

Another question on Mathematics

Mathematics, 21.06.2019 19:30

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Triangles abc and dfg are given. find the lengths of all other sides of these triangles if: b ∠a≅∠d, ab·dg=ac·df, ac=7 cm, bc=15 cm, fg=20 cm, and df-ab=3 cm.

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

What is the period of the sinusoidal function ?

Answers: 3

Answer

Mathematics, 22.06.2019 02:00

Lucy is a dress maker. she sews \dfrac47 7 4 ? of a dress in \dfrac34 4 3 ? hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable.

Answers: 2

Answer

You know the right answer?

Abakery measured the mass of a whole cake as 0.870 kg. a customer bought one slice of the cake and m...

Questions

Mathematics, 03.12.2021 22:50

Write the sum using summation notation, assuming the suggested pattern continues. -3 + 6 + 15 + 24 + ... + 132 summation of negative 27 times n from n...