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2 years ago

1/3 + a = 5/4 what is a

Mathematics

2 answers:

olchik [2.2K]2 years ago

6 0

Answer:

11/12

Step-by-step explanation:

If we make both fractions have the same denominator, then it would be 4/12 + a = 15/12, so 15 - 4 = 11. So the answer would be 11/12.

IrinaVladis [17]2 years ago

3 0

Answer:

a=11/12

Step-by-step explanation:

1/3+a=5/4

a=5/4 - 1/3

a=11/12

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Use function notation to represent the average speed of the car on the interval from t = 2 to t = 7 .

Afina-wow [57]

Answer:

$Average\ Speed = \frac{s(7) - s(2)}{5}$

Step-by-step explanation:

Given

t = 2 to 7

Required

Find the average speed over these intervals

The function is not given; so, I'll represent the function as s(t)

When $t = 2;$

$s(t)= s(2)$

When $t = 7$

$s(t) = s(7)$

$Average\ Speed = \frac{Change\ in\ Distance}{Change\ in\ Time}$

This gives:

$Average\ Speed = \frac{s(7) - s(2)}{7 - 2}$

$Average\ Speed = \frac{s(7) - s(2)}{5}$

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2 years ago

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cluponka [151]

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2 years ago

In the school band, there is 1 boy for every 5 girls. There is a total of 12 boys. How many girls are in the band?

Sophie [7]

Answer:

Step-by-step explanation:

5 times 12

4 0

2 years ago

Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S

mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

Volume of a cylinder

$\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 1.5 cm
h = 0.25 cm

Substituting given values into the formula to find the volume:

$\sf \implies V=\pi (1.5)^2(0.25)$

$\sf \implies V=0.5625 \pi \:cm^3$

Find the density of the coin given it has a measured mass of 18.54 g

Density formula

$\sf \rho=\dfrac{m}{V}$

where:

$\rho$ = density
m = mass
V = volume

Given:

m = 18.54 g
$\sf V=0.5625 \pi \:cm^3$

Substituting given values into the density formula:

$\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}$

$\implies \sf \rho=10.49149385\:g\:cm^{-3}$

Given:

$\textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}$

$\textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}$

Therefore, as $\sf \rho=10.49\:g\:cm^{-3}$ the coin is made from silver.

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