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2 years ago

tim estimates that 60÷5.7 is about 10. Will the actual quotient be greater then or less than 10? explain

1 answer:

7 0

The actual quotient will be greater than 10 because 60 divided by 5 is 12, so the answer will be between 10 and 12, so it will be greater than 10

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Evan went to the park and saw for animals each animal was either a duck or dog if he saw a total of 14 legs how many of each ani

beks73 [17]

Answer:

Two dogs and three ducks

Step-by-step explanation:

Dogs have four legs and ducks have two, to find the answer, you add the number to get your answer.

In this case, two dogs would make a total of 8 legs and three ducks would make a total of 6 legs. Adding 8 and 6 together, you get 14.

7 0

2 years ago

Lelia says that 75% of a number will always be greater than 50% of a number. Complete the inequality to support Lelia's claim an

worty [1.4K]

Answer:

Let 'x' and 'y' be two different numbers.

Leila says that 75% of a number will always be greater than 50% of a number. The inequality that represents this statement is the following:

0.75x > 0.5y

Let x = 100 and y=200. We have that:

0.75(100) > 0.5(200)

75 > 100 ❌ INCORRECT ❌

Given that we found a case in which 75% of a number is not greater than 50% of a number, we can conclude that Leila's claim is incorrect.

3 0

2 years ago

Allies plant has a height of 6meters. Radon’s plant grows 3/10 meters higher. How high does radon’s plant grow

kow [346]

The height of Radon plant is 6.3 meters

<em><u>Solution:</u></em>

Given that, Allies plant has a height of 6 meters

Radon’s plant grows $\frac{3}{10}$ meters higher

To find: Height of Radon plant

From given information,

Height of Allies plant = 6 meters

Height of radon plant = $\frac{3}{10}$ + Height of Allies plant

Substituting the known value,

$\text{ Height of radon plant} = \frac{3}{10} + 6\\\\\text{ Height of radon plant} = \frac{3+60}{10}\\\\\text{ Height of radon plant} = \frac{63}{10}\\\\\text{ Height of radon plant} = 6.3$

Thus Radon plant grows to height of 6.3 meters

7 0

2 years ago

The smallest natural number divisible by 2,3,4,5,6,8 and 9 is____.

SVETLANKA909090 [29]

Answer:

360

Step-by-step explanation:

You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.

You will need 3 * 3 for the smallest number to be divisible by 9 with all the others.

Finally you will need 1 five

The smallest number divisible by all of these is 2*2*2*3*3*5 = 360

360/2 = 180 works
360/3 = 120 works
360/5 = 72 works
360/6 = 60 works
360/8 = 45 works
360/9 = 40 works.

There is no smaller number below 360 which will work.

7 0

2 years ago

Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-

Rufina [12.5K]

To make a positive profit p(x)>0 we need to make:
$-100 x^{2} +350x-150 \ \textgreater \ 0$

Now we solve this for x:
$-2 x^{2} +7x-3 \ \textgreater \ 0$

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
$x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3$

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3

5 0

2 years ago

Read 2 more answers