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mina [271]
3 years ago
13

Round to the nearest tenth 5.63

Mathematics
2 answers:
ivanzaharov [21]3 years ago
8 0
The answer will be 5.6 because the 1-4 stand that the number being rounded will stay the same
exis [7]3 years ago
4 0
The correct answer is 5.60
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Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have
mr Goodwill [35]

0.92

Step-by-step explanation:

There are 4 cards in a deck of 52 cards that has a face value of 3. That means that the other 48 cards don't have a face value of 3. Therefore, the probability of picking a card of this deck that doesn't have a face value of 3 is

P =\dfrac{48}{52} = 0.92

4 0
2 years ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
nexus9112 [7]

Hello:<span>
the equation is : y = ax+b
the slope is a : a×(-3/2) = -1......( perpendicular to a line with a slope of -3/2)
a = 2/3        y=(2/3)x+b
the line that passes through (-2, -2) : -2 = (2/3)(-2)+b
b = -2/3
<span> the equation is :  y  = (2/3)x-2/3</span></span>

3 0
3 years ago
Read 2 more answers
The line with gradient-4 which cuts the y axis at -2​
Helen [10]

Answer:

• Considering the general equation of a line

y = mx + b

m is the gradient and b is the y-intercept.

Substitute:

{ \underline{ \underline{ \:  \: y =  - 4x - 2 \:  \: }}}

8 0
3 years ago
How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an
JulsSmile [24]

Answer:

31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Step-by-step explanation:

Let us assume that the number of kilograms of a 5% salt solution used be x .

Let us assume that the number of kilograms of a 15% salt solution used be y .

As given

A 5% salt solution and 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Equation becomes

x + y = 45

5% is written in the decimal form .

= \frac{5}{100}

= 0.05

15% is written in the decimal form .

= \frac{15}{100}

= 0.15

8% is written in the decimal form .

= \frac{8}{100}

= 0.08

Thus

Concentration of 5% salt solution × Number of kilograms of 5% salt solution used + Concentration of 15% salt solution × Number of kilograms of  15% solution used = Concentration of 8% salt solution × Number of kilograms of 8% salt solution

Thus

0.05x + 0.15y = 0.08 × 45

Simplify the above

\frac{5x}{100} + \frac{15y}{100} = \frac{8\times 45}{100}

5x + 15y = 360

Thus two equations becomes

x + y = 45

5x + 15y = 360

Multiply x + y = 45 by 5 and subtracted from 5x + 15y = 360 .

5x - 5x + 15y - 5y = 360 - 225

10y = 135

y = \frac{135}{10}

y = 13.5 kilograms

Put value of y in the equation

x + 13.5 = 45

x = 45 - 13.5

x = 31.5 kilograms

Therefore the 31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

5 0
3 years ago
Which lines are perpendicular to the line y - 1 = 1/3 (x+2)? Check all that apply.
ioda

Answer: Options 1, 3, 5

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.

  • Option 1 has a slope of -3.
  • Option 2 has a slope of 3.
  • Option 3 has a slope of -3.
  • Option 4 has a slope of 1/3.
  • If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.
7 0
2 years ago
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