Sam used algebra tiles to make this model of an equation. Based on Sam's equation what statement is true.

Mathematics

1 answer:

aksik [14]2 years ago

6 0

Answer:

(B)

Step-by-step explanation:

Let us denote rectangular tiles by R and square tile by S, then

According to figure.

3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles

∴3R+2S+2R=2R+4S+R+4S

⇒5R+2S=3R+8S

⇒5R-3R=8S-2S

⇒2R=6S

⇒R=3S

Hence, 0ne rectangle =3 square

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10 < –2b or 2b + 3 > 11

Zinaida [17]

10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.

10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).

2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).

It may be helpful to graph these sets.

If you really do mean "10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.

5 0

2 years ago

(HELP ASAP PLEASE!!)

olasank [31]

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

$4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}$

We use the formula of S and insert it into the other equation:

$7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7$