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Stella [2.4K]
3 years ago
10

Simplify the expression-3÷(-2/5)​

Mathematics
2 answers:
inessss [21]3 years ago
5 0

Answer:

Step-by-step explanation:

(-3)÷(-2/5)

KFC method

Keep the first number, Flip the second number & Change division to multiplication

(-3)*\frac{-5}{2}=\frac{15}{2}

=7\frac{1}{2}\\

Count the number of negative sign.

If number of negative sign is even, then the result will be a positive number

Here 2 negative sign. So result will be an positive number

BARSIC [14]3 years ago
3 0

Answer:

15/2 or 7.5

Step-by-step explanation:

-3÷ (-2/5)

The reciprocal of -2/5 is -5/2

So we multiply -3 into the reciprocal of the fraction and we can get the same answer

Therefore,

-3÷(-2/5)

= -3x -5/2

= (-5x-3)/2

(Two negatives become a positive)

= 15/2 in fraction form

And 7.5 in decimal form

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Given: f(x) = 3x-7, g(x)=2x2 -3x+1, h(x)=4x+1, k(x) =-x2+3 Find: k(x) +g(x)​
Afina-wow [57]

Answer:

k(x) + g(x) = x² - 3x + 4

General Formulas and Concepts:

<u>Alg I</u>

  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 7

g(x) = 2x² - 3x + 1

h(x) = 4x + 1

k(x) = -x² + 3

<u>Step 2: Find k(x) + g(x)</u>

  1. Substitute:                              k(x) + g(x) = -x² + 3 + 2x² - 3x + 1
  2. Combine like terms (x²):        k(x) + g(x) = x² + 3 - 3x + 1
  3. Combine like terms (Z):         k(x) + g(x) = x² - 3x + 4
7 0
2 years ago
Jacob is a plumber. Due to increased material costs, he puts all his prices up by 7%. He now chargers R320 per hour for her serv
Lorico [155]

Answer:

R290.1

Step-by-step explanation:

Let

x = charge before he put his prices up

New charge = R320

Percentage increase in price = 7%

x + 7% of x = 320

x + 0.07 * x = 320

x + 0.07x = 320

1.07x = 320

x = 320/1.07

x = 299.06542056074

Approximately

x = R290.1

Charge before he put his prices up = R290.1

4 0
2 years ago
The disk enclosed by the circle x+y = 4 is revoived about the y-axis to generate solid sphere. A hele of diameter 2 units is the
Vesnalui [34]

Step-by-step explanation:

Suppose we have a curve, y = f(x).

y = f(x)

x = a x = b

Imagine that the part of the curve between the ordinates x = a and x = b is rotated about the

x-axis through 360◦

. The curve would then map out the surface of a solid as it rotated. Such

solids are called solids of revolution. Thus if the curve was a circle, we would obtain the surface

of a sphere. If the curve was a straight line through the origin, we would obtain the surface of

a cone. Now we already know what the formulae for the volumes of a sphere and a cone are,

but where did they come from? How can they calculated? If we could find a general method

for calculating the volumes of the solids of revolution then we would be able to calculate, for

example, the volume of a sphere and the volume of a cone, as well as the volumes of more

complex solids.

To see how to carry out these calculations we look first at the curve, together with the solid it

maps out when rotated through 360◦

.

y = f(x)

Now if we take a cross-section of the solid, parallel to the y-axis, this cross-section will be a

circle. But rather than take a cross-section, let us take a thin disc of thickness δx, with the face

of the disc nearest the y-axis at a distance x from the origin.

www.mathcentre.ac.uk 2

6 0
3 years ago
Equation of perpendicular line:<br><br> Equation of parallel line:
tamaranim1 [39]

1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.

To find the y-intercept, solve for "b".

b=-7/3

Our equation would then be y=2/3x-7/3

2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.

b=-11

So our perpendicular equation would be y=-3/2x-11

Hope that was helpful. :)

8 0
3 years ago
Marisol rode her bicycle each day for five days. estimate how far she biked in all. round each number to the nearest whole numbe
o-na [289]

Marisol biked a total of 71 miles. On the other hand, she biked about 10 more miles on Wednesday than on Thursday.

<h3>How to round numbers?</h3>

The general rule is to move the decimal number to its nearest tenth. For example, 5.6 should be rounded as 6 but 5.1 should be rounded as 5.

Now, let's round the distance covered by Marisol each day:

  • Monday: 12.3 = 12
  • Tuesday: 14.1 = 14
  • Wednesday: 17.7= 18
  • Thursday: 11.8 = 12
  • Friday: 15.2 = 15

<h3>What distance did Marisol covered?</h3>

To know this just add the distance every day:

  • 12 + 14 +18 + 12 + 15 = 71 miles

<h3>How much more did she bike on Wednesday than on Thursday?</h3>

Distance covered on Wednesday - distance covered on Thursday

  • 18 - 12 = 6 miles

Note: This question is incomplete; here is the missing information:

  • Monday 12.3
  • Tuesday 14.1
  • Wednesday 17.7
  • Thursday 11.8
  • Friday 15.2

Learn more about addition in: brainly.com/question/17407789

#SPJ4

8 0
1 year ago
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