All categories

3 years ago

Solve for a. a+45=1 1/2

Mathematics

1 answer:

Artemon [7]3 years ago

7 0

Answer:

a=-79/2=-391/2=-39.5

Step-by-step explanation:

a+45=11/2 subtract 45 from both sides

a=11/2-45 convert 45 to fraction 90/2

a=11-90/2 subtract 90 from 11 to get -79

You might be interested in

Cosmo’s family has a pool like this.

Verdich [7]

a. The volume of the pool is 27.483 m³

b. The number of litres of water the pool will hold is 27483 L

c. The pool will fill at a rate of 50 L/min in 549.7 min

The pool is a cylinder, so, we need to find its volume

<h3>a. What is volume of the pool?</h3>

Since the pool is a cylinder, its volume is, V = πd²h/4 where

d = width of pool = 5.4 m and
h = height of pool = 120 cm = 1.20 m

So, V = πd²h/4

= π(5.4 m)² × 1.20 m/4

= π × 29.16 m² × 1.20 m/4

= 34.992π m³/4

= 8.748π m³

= 27.483 m³

So, the volume of the pool is 27.483 m³

<h3>b. How many litres of water will the pool hold?</h3>

Since the volume of the pool, V = 27.483 m³ and 1000 Litres = 1 m³

So, the volume of the pool in litres is V = 27.483 m³

= 27.483 × 1 m³

= 27.483 × 1 000 L

= 27483 L

So, the number of litres of water the pool will hold is 27483 L

Since the volume of the pool is V = 27483 L, the time it will take the pool to fill at a rate of 50 L/min is given by t = Volume/rate

= 27483 L/50 L/min

= 549.66 min

≅ 549.7 min

So, how long will it take to fill the pool at a rate of 50 L/min is 549.7 min

Learn more about volume of pool here:

brainly.com/question/11893973

#SPJ1

7 0

2 years ago

If r(x) = 3x – 1 and s(x) = 2x 1, which expression is equivalent to (startfraction r over s endfraction) (6)? startfraction 3 (6

viva [34]

The expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

<h3>What is the equivalent expression?</h3>

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given binary functions are.

$r(x) = 3x - 1$

$s(x) = 2x +1$

The expression which has to be found out is,

$\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{3(6)-1}{2(6)+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{18-1}{12+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{17}{13}\right)$

Thus, the expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

Learn more about the equivalent expression here;

brainly.com/question/2972832

7 0

2 years ago

Harry reads that a particular element has an atom with a mass of 0.000000000012 grams. What is the weight of the atom expressed

Arlecino [84]

1.2 e⁻¹¹

Because you need a number between 1 and 10 for scientific notation. So you move the decimal over 11 places. Since you move it to the right, it becomes a negative exponent.

8 0

3 years ago

Does anyone know what the √2.25 is when rewritten as a fraction?

Zinaida [17]

Answer: $\sqrt{\frac{9}{4} }$