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4 years ago

show how to solvethe problem378×6 using place value with regrouping. explain how u knew when to regroup

Mathematics

1 answer:

Bingel [31]4 years ago

7 0

(300x6)+(70x6)+(8x6)

1800+420+48

1800+468

2268

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The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams. The combined weight of one die

olya-2409 [2.1K]

Answer:

The total weight of one die, one ball, and one marble is 75 grams.

Step-by-step explanation:

Consider the provided information.

Let d represents the number of dice, b represents the number of balls and m represents the number of marbles.

So according to the question.

The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams.

$2d+5b+4m=260$ ....(1)

The combined weight of one die and one marble was 55 grams.

$d+m=55$

$m=55-d$ ....(2)

3 balls weighed the same as two dice.

$3b=2d$

Multiply both sides by 5 and divide by 3.

$5b=\frac{10}{3}d$ .....(3)

Now put the value of equation 2 and 3 in equation 1.

$2d+\frac{10}{3}d+4(55-d)=260$

$2d+\frac{10}{3}d+220-4d=260$

$\frac{6d+10d-12d}{3}=40$

$4d=120$

$d=30$

Put d=30 in equation 2.

$m=55-30$

$m=25$

Put d=30 in equation 3.

$5b=\frac{10}{3}\times 30$

$5b=100$

$b=20$

The total weight (in grams) of one die, one ball, and one marble is:

$d+m+b=25+20+30$

$d+m+b=75$

The total weight of one die, one ball, and one marble is 75 grams.

8 0

3 years ago

seven divided by quantity three minus fifteen i. seven divided by seventy eight. - thirty-five divided by seventy eight. i - sev

Anna35 [415]

Hello,
Please, see the attached file.
Thanks.

6 0

3 years ago

Pepsi [2]

Answer:

(a)Attached

(b)69 degrees

(b)The ladder is safe

Step-by-step explanation:

(a)See attached diagram

The wall is length |AB| and the ladder is length |AC|

(b)

$sin \theta =\dfrac{|AB|}{|AC|} \\sin \theta =\dfrac{14}{15}\\\theta=arcsin (\dfrac{14}{15})\\\theta=69^\circ$

(c)Jamie wants the angle of the ladder makes with the ground to be no greater than 75 degrees for safety reasons.

Since the angle formed between the ground and the ladder (69 degrees) is less than 75 degrees, the ladder is safe the way it is positioned.

4 0

3 years ago

An airplane, flying at an altitude of 15,000 feet above sea level, flies directly above a submarine that is traveling at a depth

Eddi Din [679]

15,000 + 1,250=16,250 add the distance above ground and under water to get the total distance.

6 0

4 years ago

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Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B31%20%2B%2033%7D%20" id="TexFormula1" t

topjm [15]

Answer:

your answer will be 8

Step-by-step explanation:

thank you!!

4 0

3 years ago

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