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Rudik [331]
3 years ago
13

What expressions are equivalent to 3 1/4- (-5/8)

Mathematics
2 answers:
Mashcka [7]3 years ago
8 0
3 1/4 + (5/8)

That is what is equivalent to 3 1/4 -(-5/8)
I hope that helped you
Verizon [17]3 years ago
7 0

Answer:

3\frac{7}{8}

Step-by-step explanation:

The given expression is 3\frac{1}{4} - (\frac{-5}{8})

We need to simplify the fractions.

Let's convert the mixed number 3\frac{1}{4} to improper fraction.

3\frac{1}{4} = \frac{4.3 +1}{4} = \frac{12 + 1}{4} = \frac{13}{4}

So, \frac{13}{4} -(\frac{-5}{8} )

= \frac{13}{4} +(\frac{5}{8} )

Now we have to find the least common divisor (LCD) of 4 and 8. So that we can simplify the fractions.

The LCD of 4 and 8 is 8.

So make the denominators as 8.

= \frac{13(2)}{4(2)} + \frac{5}{8}

= \frac{26}{8} + \frac{5}{8}

Now the denominators became the same. Now we can simplify the numerator and keep the denominator as it is.

=  \frac{26 + 5}{8}

=  \frac{31}{8}

Now we can convert this improper fraction to mixed number

= 3\frac{7}{8}

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Step-by-step explanation:

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ANSWER PLEASE! 14 points if you do
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Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. Scientist B dissolved 20 pounds of salt in 7.0 pints of water
Lilit [14]

scientist A dissolved 1 kg of salt in 3 litres.

scientist B dissolved 20 pounds of slat in 7 pint of water.

we know that 1 pound =0.543 g

20 pounds=9.07 kg.

1 pint=0.5 litres

so 7 pints =3.5 litres

so dissoving 1 kg of salt in 3 litres of water and 9.07 kg in 3.5 litres of water

we know that for concentration kg/l units is used .

for A= 1/3=0.33kg/l

and B=9.07/3.5=2.59 kg/l.

so scientist A has prepared more concentrated solution .

3 0
3 years ago
Read 2 more answers
Question 14
Reil [10]

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact  same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

6x+y=-1\\y=-6x-1

second equation:

-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

6 0
3 years ago
A company is making a new label for one of their containers. The container is a cylinder that is 9 inches tall and 5 inches in d
nydimaria [60]

Answer:

180.55 in².

Step-by-step explanation:

Data obtained from the question include the following:

Height (h) = 9 in.

Diameter (d) = 5 in

Pi (π) = 3.14

Area of the label =..?

Next, we shall determine the radius.

Diameter (d) = 5 in

Radius (r) =.. ?

Radius (r) = Diameter (d) /2

r = d/2

r = 5/2

r = 2.5 in.

Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.

This is illustrated below:

Height (h) = 9 in.

Pi (π) = 3.14

Radius (r) = 2.5 in.

Surface Area (SA) =.?

SA = 2πrh + 2πr²

SA = (2×3.14×2.5×9) + (2×3.14×2.5²)

SA = 141.3 + 39.25

SA = 180.55 in²

The surface area of the cylinder is 180.55 in².

Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².

5 0
3 years ago
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