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yarga [219]
3 years ago
7

Please help me with this question

Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer:

Step-by-step explanation:

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1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor
Irina-Kira [14]

Answer:

1. a. 1,000 = 10³ = 10 × 10 × 10

b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10² = 300

b. 2.16 × 10⁴ = 21,600

c. 800 ÷ 10³ = 0.8

d. 754.2 ÷ 10² = 7.542

Step-by-step explanation:

3. a. 1,000

There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:

1,000 = 10³ = 10 × 10 × 10

b. 100 × 100

Using the same logic as explained in (a) above, we would have:

100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10²

Convert 10² to 100 and multiply both numbers

3 × 10² = 3 × 10 × 10 = 3 × 100 = 300

b. 2.16 × 10⁴

2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000

Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.

2.16 × 10,000 = 21,600

c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10

800 ÷ 1,000

There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.

800 ÷ 1,000 = 0.8

d. 754.2 ÷ 10² = 754.2 ÷ 10 × 10

754.2 ÷ 100

Move the decimal point 2 places to the left.

754.2 ÷ 100 = 7.542

5 0
3 years ago
16 of the 28 dogs at the shelter are purebred. What percent of the dogs are purebred? Round to a whole number
MArishka [77]

Answer:

57.14%

Step-by-step explanation:

So to get this answer I just had to find out what percent 16 was of 28. So 57.14% of the dogs are purebred.

3 0
3 years ago
The perimeter of a rectangular field is 302 yards. If the width of the field is 65 yards, what is its length?​
Molodets [167]

Answer:

L= 86 yards

Step-by-step explanation:

Perimeter = 2length + 2width

So,

302= 65(2) + 2(L)

302= 130+2L

-130

172=2L

Length= 86

7 0
3 years ago
A gallon is equal to 128 oz. Loretta drinks 6.4 oz of milk twice a day. How many days will it take for Loretta to finish a gallo
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

120/6.4=20

It will take her 20 days

6 0
2 years ago
Read 2 more answers
BC = 36; D = 15. What is the value of BD - AC.<br> B<br> A<br> BD - AC =
Snezhnost [94]

Answer:

BD - AC = 0

Step-by-step explanation:

Given that:

BC = 36 , CD = 15 and BD = x

As these are forming right angled triangle,

Using Pythagorean theorem,

(BD)^2+(CD)^2=x^2\\(36)^2+(15)^2 = x^2\\1296 + 225 = x^2\\1521 = x^2\\

Taking square root on both sides

\sqrt{x^2}=\sqrt{1521}\\x=39

As the given shape is rectangular, the sides parallel to each other will have same values.

AB = 15 , AD = 36 and AC = x

(15)^2+(36)^2 = x^2 \\225 + 1296 = x^2 \\1521 = x^2 \\x = 39

Now,

BD - AC = 39 - 39 = 0

Hence,

BD - AC = 0

5 0
3 years ago
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