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goldenfox [79]
2 years ago
12

10 less than the product of

Mathematics
2 answers:
Snezhnost [94]2 years ago
6 0

Answer:

x=45

Step-by-step explanation:

2/5x-10=8

2/5x=18

x=18÷2/5

x=18(5/2)

x=45

Ket [755]2 years ago
6 0

Answer:

(2/5 × x) - 10= 8

2/5x= 8+10

2x= 5 × 18

x = 90/2

x = 45

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Owen’s rectangular garden has a length of (x+3) feet and a width of (x−4) feet. If the area of the garden is 18 square feet, wha
Alexxandr [17]

Answer:

  length: 9 ft

  width: 2 ft

Step-by-step explanation:

This can be worked using a quadratic equation, or it can be worked by considering factors of the area value.

__

<h3>difference in dimensions</h3>

The difference in length between the long side (x+3) and the short side (x-4) is ...

  (x +3) -(x -4) = 3+4 = 7 . . . . feet

<h3>area factors</h3>

The area formula is ...

  A = LW

The given area is 18 square feet, so we want to find numbers that multiply to give 18 and that differ by 7 in their values. Here are the integer factors of 18:

  18 = 1×18 = 2×9 = 3×6

Of these factor pairs, the values 2 and 9 differ by 7.

The garden is 9 feet long and 2 feet wide.

_____

<em>Additional comment</em>

We can check to see if these numbers are consistent with the given expressions:

  x+3 = 9  ⇒  x = 6

  x -4 = 6 -4 = 2 . . . . the other dimension we found

__

If you solve this using a quadratic equation, you will find that dimensions -2 ft and -9 ft also pop out. That is x +3 = -2, or x = -5 is also a solution to the quadratic. Of course, that is an extraneous solution, which we avoid by considering only positive factors of 18.

The quadratic equation we're referring to is A=18 ⇒ (x+3)(x-4) = 18.

6 0
2 years ago
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Write a division equation that has a solution of 42
Allisa [31]
 Heres an equation: 126/3 = 42
4 0
3 years ago
Read 2 more answers
The cost of having t-shirts printed at two different shops is displayed below. Use the information provided to answer the follow
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Answer:

please add the attachment of this question

8 0
3 years ago
Jenna and todd are running for president of a school club. The candidates for vice president are todd,annie, and luis. Because t
almond37 [142]

Answer:

B. P VP Jenna Todd Jenna Annie Jenna Luis Todd Luis Todd Annie

Step-by-step explanation:

CHECK THE COMPLETE QUESTION AND OPTIONS BELOW;

Jenna and Todd are running for president of a school club. The candidates for vice president are Todd, Annie, and Luis. Because Todd is running for both positions, he can't be elected vice president if he is elected president. Which list shows all the possible outcomes for president (P) and vice president (VP)? Answer options with 4 options A. P VP Jenna Annie Jenna Luis Todd Annie Todd Luis C. P VP Jenna Todd Jenna Annie Jenna Luis B. P VP Jenna Todd Jenna Annie Jenna Luis Todd Annie Todd Luis D. P VP Jenna Annie Jenna Luis Todd Jenna Todd Annie Todd Luis

From the question, Candidates that are running to be a president are;(Jenna and Todd)

Candidates that are running to become vice president are; (Todd, Annie, and Luis)

✓ Todd can only be elected as president or as vice president, if he is elected as president then he cannot be elected as vice president.

The list that shows all the possible outcome is

1)Vice president: Todd and President: Jenna

2)Vice president: Annie and President: Jenna

3)Vice president: Luiz and President: Jenna

4)Vice president: Annie and President: Todd

5)Vice president: Luiz and President: Todd

Hence, option B gives the correct answer.

5 0
3 years ago
Need help on this as soon as possible
Andrew [12]
Hypotenuse of the right triangle: h=sqrt(4^2+6^2)
h=sqrt(16+36)
h=sqrt(52)
h=sqrt(4*13)
h=sqrt(4) sqrt(13)
h=2 sqrt(13)

Total Area: T.A.=2*(4*6/2)+[4+6+2 sqrt(13)] (8)
T.A.=2*(12)+[10+2 sqrt(13)](8)
T.A.=24+(10)(8)+[2 sqrt(13)](8)
T.A.=24+80+16 sqrt(13)
T.A.=104+16 sqrt(13)

Answer: 
( 104+16 sqrt(13) )
5 0
3 years ago
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