MATHEMATICS MIDDLE SCHOOL

lance measured 0.485 liter of water. Angel measured 0.5 liter of water. lance said, "My beaker has more water than yours because my number has three decimal places and yours only has one." is lance correct?

Answers

Answer 1

Answer:

No, Lance is not correct.

Further explanation:

If we compare the two decimal numbers then either they are less than, greater than or equal to each other.

For example:

There are two decimal numbers as,

$0.56{\text{ and 0}}{\text{.88}}$

Now, 0.88 is greater than 0.56 as the number after the decimal point is greater in 0.88 than 0.56.

It is given that Lance measured 0.485 litre of water.

Also, given that Angel measured 0.5 litre of water.

Lance claims that her beaker has more water than Angel’s breaker because her number has three decimal places and Angel’s only has one.

Step by step explanation:

Now, Lance has $0.485l$ of water and Angel has $0.5l$ of water.

The decimal number which has greater number after the decimal point, then that decimal number is greater than the other.

Therefore, Lance only has $0.485l$ of water whereas Angel has $0.5l$ of water in which Angel has more water than Lance.

Thus, Lance is wrong in analysing the water quantity.

Learn more:

1. Problem on the whole numbers are positive integers brainly.com/question/1852063.

2. Problem on the adding and simplifying the numbers brainly.com/question/894273.

3. Problem on the general form of the equation of the circle brainly.com/question/1506955.

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Real line and Real numbers

Keywords:

Decimal number, decimal point, liter, water, real line, greater than, less than, equal,real numbers, fractions.

Answer 2

Answer:

Lance is absolutely not correct.

The fact that his beaker measures at 0.485 liter, and Angel’s at 0.5 does not significantly mean Lance beaker has more water than Angel.

Further Explanation

Mathematically, Angel’s beaker has more water than Lance because 0.5 liter is greater than 0.485 liter. Angel’s given measured liter can also be expressed as 0.500.

For instance:

Lance’s liter of water = 0.485

Angel’s liter of water = 0.500

Automatically, 0.500 is greater than 0.485

Furthermore, it can denoted that the above given question is a decimal number problem. A decimal is an improper fraction whose denominator can be in 10, 100, 1000 and so on. Examples of decimals are:

2/10 = 0.2

2/100 = 0.02

2/1000 = 0.002

To understand decimals, one has to take note of placing number values.

To further highlight Lance’s wrong statement, it is important number values are evaluated. For instance

5 > 4

0.5 > 0.4

0.05 > 0.04

0.50 > 0.49 (This can also be expressed as 0.5 > 0.49; the zero after 5 is relatively insignificant, according to math theories)

Lance has a beaker that is measured at 0.485

Angel has a beaker that is measured at 0.5

From the above given illustration (0.50 > 0.49), it can be noted than 0.5 > 0.485 because 0.485 is lesser than 0.5 which can also be expressed as 0.500

LEARN MORE:

positive integers brainly.com/question/1852063

KEYWORDS:

fractions
decimal numbers
greater than
less than

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BEST GETS BRAINLEST.A construction engineer needs to make 25 square concrete slabs with sides of length x feet and a height x - 3 feet. If the engineer can use at most 350,000ft^3 of concrete, what should the dimensions of each slab be, to the nearest foot?

a. Write an expression for the volume of all the slabs

b. What should x equal, to the nearest foot?

Answers

Answer:

x ≈ 118 ft

Step-by-step explanation:

To get an expression for the volume of all slabs, we can use the formula of volume of cuboid 'V', which is equal to the product of its length 'x', breadth 'x' and height 'x-3' i.e.

$V = x.x.(x-3)$

For 25 slabs,

$V = 25x.x.(x-3)$

Since, V cannot be more than 350,000 $ft^(3)$ , therefore,

$350000 = 25x^(2) (x-3)$

which can be written as:

either:

$350000 = 25x^(2)$

$x = \sqrt{ (350000)/(25)$

x ≈ 118 ft

or:

$x - 3 = 350000$

$x = 350003$

which is not possible.

Hence x should be 118 ft

We know that the given side lengths are x and the height is x.

Therefore, the area of the base = $A = x * x$

$Formula =\ \textgreater \ volume = length*width*height$

$To \ find \ the \ volume \ of \ 1 \ slab, \ multiply \ by \ the \ height$ $x -3$

$= x*x*(x-3)$

$Volume \ of \ 25 \ slabs =$ $25*x^2*(x-3)=350000$

$350,000/25 = 14,000$

$x^3 - 3x^2 - 14000$

$= 25.14$

$Rounded => x=25$

Fifteen tickets cost $193.75. what is the average cost of each ticket

Answers

I think it's $12.92

Find the sine angle of Y.

Answers

Answer:

15/17

Step-by-step explanation:

sin theta = opposite side/ hypotenuse

sin y = 30/34

Divide top and bottom by 2

sin Y =15/17

Answer:

$(15)/(17)$

Step-by-step explanation:

sinY = $(opposite)/(hypotenuse)$ = $(30)/(34)$ = $(15)/(17)$

How do you find the area of a circle? Isn't it π and something?

Answers

Hi there!

You are partially correct on the π symbol, but there's more!

The formula for finding the area of a circle is:

A = π r².

A stands for area, π stands for pi, and r stands for radius. The ² is there because the radius is half as big as the diameter of a circle.

Hope this helps! :D

And remember, you can message me whenever you need to on anything you may need help with!

What is the sum of the first 4 terms of the arithmeticsequence in which the 6th term is 8 and the 10th term
is 13 ?
F. 10.5
G. 14.5
H. 18
J. 21.25
K. 39.5

Answers

$a_6=8;\ a_(10)=13\n\na_(10)-a_6=4r\n\n4r=13-8\n4r=5\ \ \ \ /:4\nr=1.25\n\na_1=a_6-5r\na_1=8-5\cdot1.25=8-6.25=1.75\n\nS_4=(2a_1+(4-1)r)/(2)\cdot4=(2a_1+3r)\cdot2=4a_1+6r\n\nS_4=4\cdot1.75+6\cdot1.25=7+7.5=14.5$

Final answer:

The sum of the first 4 terms of the arithmetic sequence where the 6th term is 8 and the 10th term is 13 is 14.5.

Explanation:

In an arithmetic sequence, the difference between consecutive terms is constant. This difference is commonly called the common difference. Given that the 6th term is 8 and the 10th term is 13, we can calculate this common difference.

The common difference is (13 - 8) / (10 - 6) = 5 / 4 = 1.25.

The common difference is backward from the 6th term to the first term or we can say the 6th term minus 5 times the common difference will give us the first term. Therefore, the first term is 8 - 5*1.25 = 8 - 6.25 = 1.75.

The sum of the first 4 terms of an arithmetic sequence is given by the formula S = n/2 *[2a + (n-1)*d], where 'n' is the number of terms (in this case 4), 'a' is the first term, and 'd' is the common difference.

Therefore, substituting our known values into the formula gives us: S = 4/2 *[2*1.75 + (4-1)*1.25] = 2*[3.5 + 3.75] = 2*7.25 = 14.5

Learn more about Arithmetic Sequence here:

brainly.com/question/32830972

How to factor out the coefficient of the variable : 1/2m + 1/2 = ??

Answers

$(1)/(2)m+(1)/(2)=(1)/(2)(m+1)$

1/2m+1/2

=1/2(m+1)

*Research the "distributive property" to simplify such problems.

Below is an example of how the distributive property functions:

a(b+c+d)

=ab+ac+ad

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