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3 years ago

What is 2a+3b=5 B=a-5?

Mathematics

1 answer:

galben [10]3 years ago

4 0

Answer:

a = 4

Step-by-step explanation:

Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5. Then, distribute 3 into a - 5 to get 3a - 15 when expanded. Combine the two like terms 2a and 3a to get 5a. Then, add 15 on both sides to get to this equation which is 5a = 20. Divide 5 on both sides to get your a-value which is 4.

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Determine the number of icecubes in 32 glases qt the rate of 20 ice cubes in 5 glases

Scrat [10]

Answer:

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3 years ago

Help!!! Look at the image below.. X= 8? 9? 10?

Korolek [52]

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2 years ago

LABEL THE TRIANGLE!! PLEASE HELP!!

Anettt [7]

Answer:

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3 years ago

A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish

nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

$a = 150$ --- initial

$r = 8\%$ -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

$y = ab^x$

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

$b = 1 - r$

So, we have:

$b = 1 - 8\%$

Express as decimal

$b = 1 - 0.08$

$b = 0.92$

In $y = ab^x$

$a =150$

$y = 30$

$b = 0.92$

So, we have:

$30 = 150 * 0.92^x$

Divide both sides by 150

$0.2 = 0.92^x$

Take log of both sides

$log(0.2) = log(0.92^x)$

Apply law of logarithm

$log(0.2) = x\ log(0.92)$

Make x the subject

$x = \frac{log(0.2)}{log(0.92)}$

$x = \frac{-0.6990}{-0.0362}$

$x = 19.309$

$x \approx 19$

Hence, it takes approximately 19 days

3 0

3 years ago

a local high schools cheerleading squad is selling snow cones during lunch to raise money for a national cheerleading competitio

svlad2 [7]

We have:

Volume of cone = 535 cm³ at the maximum
Height of cone= 8cm

We know the formula to find volume of cone is $\frac{1}{3} r^{2} \pi h$

We need to find the radius of the base of the cone
$535= \frac{\pi r^{2}8} {3}$
$535*8= \pi r^{2}$
$\frac{4280}{\pi}= r^{2}$
$r= \sqrt{ \frac{4280}{ \pi} }$
$r=36.9$ to the nearest one decimal place

The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm

8 0

3 years ago