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castortr0y [4]
2 years ago
15

Instructions:select all the correct locations on the tables. andrew wants to purchase a new television with a screen length that

is five times its width. the width of the television screen is 7 inches more than the width of his tablet. andrew also wants the area of the new television screen to be at least 1,050 square inches. if x is the width of andrew's tablet, determine which inequality could represent this situation. then, determine if 8 inches is a reasonable width for his tablet.
Mathematics
1 answer:
DaniilM [7]2 years ago
5 0

The <em>correct answers</em> are:


5x²+70x+245 ≥ 1050; and

Yes.


Explanation:


Let x be the width of the tablet. Since the width of the TV is 7 inches more than the tablet, the width of the TV would be x+7.


The length of the TV is 5 times the width; this makes the length 5(x+7) = 5x+35.


The area of the TV would be given by

(x+7)(5x+35).


Since Andrew wants the area to be at least 1050, we set the expression greater than or equal to 1050:

(x+7)(5x+35) ≥ 1050


Multiplying this, we have:

x*5x+x*35+7*5x+7*35 ≥ 1050

5x²+35x+35x+245 ≥ 1050


Combining like terms,

5x²+70x+245 ≥ 1050


To see if 8 is a reasonable width for the tablet, we substitute 8 for x:

5(8²)+70(8)+245 ≥ 1050

5(64)+560+245 ≥ 1050

320+560+245 ≥ 1050

1125 ≥ 1050


Since this inequality is true, 8 is a reasonable width.

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Answer:

yes

Step-by-step explanation:

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3 years ago
Area of a rectangle 8cm long and 4cm in height. please tell me how to do this also, I'm so confused.
Tema [17]
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3 years ago
I need to know if this is correct
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7 0
2 years ago
Andy bought 4 hamburgers snd 2 milkshakes for $13.50. Danny bought 3 hamburgers and 1 milkshake for $9.25. What cost of a hambur
Molodets [167]

A hamburger costs $2.5 and a milkshake costs $1.75

Step-by-step explanation:

  • Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.

   4H + 2M = 13.50 ------ (1)

&  3H + 1M =   9.25 ------ (2)

  • Step 2: Multiply eq(2) with 2 to make coefficients of M equal.

   6H + 2M = 18.50 ------- (3)

  • Step 3: Subtract eq(3) from eq(1)

⇒ - 2H = - 5

⇒ H = $2.5

  • Step 4: Substitute value of H in eq(2) to find M.

⇒ 3 × 2.5 + M = 9.25

⇒ 7.5 + M = 9.25

⇒ M = $1.75

4 0
2 years ago
Can you guys help me? :-(
VMariaS [17]

Answer:

\frac{9}{10}

Step-by-step explanation:

Find the LCD because like last time, you cannot add or subtract fractions with different denominators.

LCD = 10

Since the second fractions stayed at the same denominator, you will only have to multiply the first fraction.

\frac{2 * 2}{5 * 2}

\frac{4}{10}

\frac{4 + 5}{10}

= \frac{9}{10}

5 0
3 years ago
Read 2 more answers
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