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2 years ago

Estimate 2/3 ×40 how do you estimate

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

3 0

Answer:

you estimate usally by the nearest 100. in this case its by 10 so your estimate answer is 30 because your final answer is 26. is the last number is greter than 5 you round up and lower than 5 you round down

Step-by-step explanation:

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Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t

harina [27]

Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

$\frac{x}{42.56}=\frac{x+10}{72.96}$

by cross multiply we get;

$72.96x = 42.56(x+10)$

using distributive property; $a\cdot (b+c) =a\cdot b + a\cdot c$

$72.96x = 42.56x+425.6$

Subtract 42.56x from both sides we get;

$30.4x =425.6$

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons

5 0

2 years ago

Read 2 more answers

What is the following product

Genrish500 [490]

For this case we must find the product of the following expression:

$\sqrt [3] {5} * \sqrt {2}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We rewrite the expression using the lowest common index of 6, then:

$5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =$

We rewrite the terms in an equivalent way:

$5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =$

We rewrite the expression using the property mentioned:

$\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =$

We combine using the product rule for radicals:

$\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}$

So:

$\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}$

ANswer:

Option b

4 0

2 years ago

Gareth buys two oranges. He pays with a £1 coin and gets 52p change. Work out the cost of one orange.

zalisa [80]

Answer:

24p

Step-by-step explanation:

£1 - £0.52 = £0.48 ← cost of 2 oranges

cost of 1 orange = £0.48 ÷ 2 = £0.24

3 0

1 year ago

The prism shown has a volume of 35 cm^3

artcher [175]

Answer:

$Height = 2.5$

Step-by-step explanation:

Given

$Volume = 35$

$Length =7$

$Base=4 cm$

Required

Determine the height

The volume is calculated as:

$Volume = Height * Base\ Area$

Since, it has a triangular cross-section, the expression becomes:

$Volume = Height * \frac{1}{2} * Base * Length$

So, we have:

$35 = Height * \frac{1}{2} * 4 * 7$

$35 = Height * 14$

$Height = 35/14$

$Height = 2.5$

7 0

2 years ago

The total number of people who visitedthe ocean adventure park last year was 7,040,836 . What is the valur of the digit 4 in thi

Vesna [10]

The total number of people who visitedthe ocean adventure park last year was 7,040,836

In 7,040,836, there are FOUR digits after 4.

To find value of 4, just put FOUR zeroes after 4

Thus, Value of 4 = 40000

5 0

2 years ago