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2 years ago

Which is a factor pair of 72 ? A. 12, 6 B. 14, 5 C. 23, 4 D. 24, 2

Mathematics

2 answers:

sineoko [7]2 years ago

4 0

Answer:

Step-by-step explanation:

12x6=72

victus00 [196]2 years ago

3 0

Answer:

Step-by-step explanation:

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There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85

QveST [7]

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

6 0

3 years ago

Find thhe remainder when 7^203 is divided by 4

Aleksandr [31]

Using the square-and-multiply approach, we have

$7^{203}=7\times(7^{101})^2$
$7^{101}=7\times(7^{50})^2$
$7^{50}=(7^{25})^2$
$7^{25}=7\times(7^{12})^2$
$7^{12}=(7^6)^2$
$7^6=(7^3)^2$
$7^3=7\times7^2$

and so, using the property that, if $a_1\equiv b_1\mod n$ and $a_2\equiv b_2\mod n$ , then $a_1a_2\equiv b_1b_2\mod n$ , we get

$7\equiv3\mod4$
$7^2\equiv9\equiv1\mod4$
$7^3\equiv7\times1\equiv7\equiv3\mod4$
$7^6\equiv9\equiv1\mod4$
$7^{12}\equiv1\mod4$
$7^{25}\equiv7\times1\equiv7\equiv3\mod4$
$7^{50}\equiv9\equiv1\mod4$
$7^{101}\equiv7\times1\equiv7\equiv3\mod4$
$7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4$

4 0

3 years ago

Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.8

tankabanditka [31]

Given that total number of pounds of grass seed needed = 9

Let number of pounds of Bermuda seeds used = x

Let number of pounds of Fescue seeds used = y

Then sum of both gives equation:

x+y=9

or y=9-x...(i)

Given that cost of 1 pound of Bermuda seed = $4.80

Then cost of x pound of Bermuda seed = $4.80x

Given that cost of 1 pound of Fescue seed = $3.50

Then cost of y pound of Fescue seed = $3.50y

total cost will be 4.80x+3.50y

Given that cost of 1 pound of mix seed = $4.02

Then cost of 9 pound of mix seed = $4.02*9

combining all three parts, we get equation:

4.80x+3.50y=4.02*9

4.80x+3.50y=36.18...(ii)

plug (i) into (ii)

4.80x+3.50y=36.18

4.80x+3.50(9-x)=36.18

4.80x+31.5-3.50x=36.18

4.80x-3.50x=36.18-31.5

1.3x=4.68

x=3.6

Now plug x=3.6 into (i)

y=9-x=9-3.6=5.4

Hence final answer is given by:

Let number of pounds of Bermuda seeds he should buy = 3.6 pounds

Let number of pounds of Fescue seeds he should buy = 5.4 pounds

5 0

4 years ago

The length of line segment AG is 17 m and the line segment AD is 25 m. What is the length of line segment GD?

vladimir1956 [14]

Answer:

AG = 17 m

AD = 25 m

GD = ?

AD = AG + GD

GD = AD - AG

= 25 - 17

= 8 m

7 0

2 years ago

Read 2 more answers

Music featuring several independent lines is called

Tamiku [17]

In music, polyphony is a texture consisting of two or more simultaneous lines of independent melody, as opposed to a musical texture with just one voice which is called <u>monophony</u>, and in difference from musical texture with one dominant melodic voice accompanied by chords which is called homophony.

8 0

3 years ago