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Ivahew [28]
3 years ago
13

A number is greater than another number by 5. if their sum is 21, find the number​

Mathematics
2 answers:
DochEvi [55]3 years ago
6 0

Answer:

x=13

y=8

Step-by-step explanation:

let the greater number be x and the smaller number be y.

<u>Now</u><u>,</u>

from first condition,

x = y + 5 --------1

from second condition,

x + y = 21

or, x = 21 - y --------2

from equation 1 and 2,

y + 5 = 21 - y

or, 2y = 16

y = 8

now,

putting the value of y in equation 1

x = 8 + 5

= 13

Flura [38]3 years ago
5 0

Answer:

13.

Step-by-step explanation:

x+x+5=21

2x+5=21

2x=16

x=8

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3 years ago
Solve and graph the inequality 4x – 10 &lt; 18.
tiny-mole [99]

9514 1404 393

Answer:

  • The graph has an open circle at 7.
  • The arrow points left.

Step-by-step explanation:

Adding 10 and dividing by 4, we have ...

  4x < 28

  x < 7

The comparison does not include the "equal to" case, so the circle at x=7 is open. Values of x less than 7 are in the solution set. Those values are found to the left of 7 on the number line.

  • The graph has an open circle at 7.
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5 0
3 years ago
Read 2 more answers
Ms.wolf has 9.5 pounds of candy in her classroom. she gives each student 0.25 pounds of candy. how many students can she feed​
LekaFEV [45]

Answer:

9.5÷0.25=38

So she can feed 38 students.

5 0
2 years ago
A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
3 years ago
Group Tens as Hundreds
IrinaK [193]

Answer:

Write how many groups of tens there are

Circle groups where there are ten groups of tens

Write how many hundreds there are

Write the total number of tens and hundreds there are

3 0
3 years ago
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