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3 years ago

Is 2.3 + (-2.4) positive number

Mathematics

1 answer:

erastova [34]3 years ago

7 0

Answer:

2.3 + (-2.4) = -.1

Step-by-step explanation:

adding a negative like this is the same 2.3 - 2.4 and subtracting 2.4 from 2.3.

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Transforming data

Papessa [141]

Answer:

See below in bold.

Step-by-step explanation:

Mean = 150 cm = 150 * 0.033 feet

= 4.95 feet.

The standard deviation = 10 cm = 10 * 0.033

= 0.33 feet.

7 0

3 years ago

What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago

Anna makes a pot of vegetable bean soup. She is using 1/4 cup measuring cup. How many times will Anna need to fill the measuring

docker41 [41]

Answer:

3 1/2

Step-by-step explanation:

1/4=2/8

7/8 divided by 2/8= 3 1/2

6 0

3 years ago

A carpenter worked 10 weeks on a particular job, 51/2 days per week and 7 3/4 hours per day. How many hours did the carpenter wo

Luden [163]

Answer:

= 426 1/4 hr.

Step-by-step explanation:

5 1/2 = 5.5 Days in a week

7 3/4 = 7.75 hr. Per Day

Total hours in a week = 5.5 × 7.75 = 42.625 hr in a week

In 10 weeks = 42.625 × 10 = 426.25 hr.

5 0

3 years ago

If a puzzle has 5 empty squares and 5 shades in, what improper fraction represents the shaded part?

LenaWriter [7]

Answer:

5/10

Step-by-step explanation:

5+5=10. so 5 empty 0/10 5 shaded 5/10

4 0

3 years ago