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2 years ago

Point A represents which fraction? A)1/3 B)4/8 C)5/6 D)5/8

Mathematics

1 answer:

ELEN [110]2 years ago

4 0

I believe the answer would b ( B) 1/3

Hope this helps!

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During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the

mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

$T = 0.005x^2 + 0.45x + 125$

Suppose T = 141°F,

$\implies 141 = 0.005x^2 + 0.45x + 125$

$\implies 0.005x^2 + 0.45x + 125 - 141 =0$

$\implies 0.005x^2 + 0.45x - 16=0$

Since, a quadratic equation $ax^2 + bx + c =0$ has,

Real roots,

If Discriminant, $D = b^2 - 4ac \geq 0$

Imaginary roots,

If D < 0,

Since, $0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0$

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

6 0

3 years ago

Please help work this equation

Flauer [41]

Hi!

<u>Given these two equations:</u>

$x = y + 8$

$x + 4 = 2(y + 4)$

We want to solve using the substitution method. Knowing that x is equal to y + 8, we can simply plug in 'y + 8' in for x in the second equation, like so:

$(y+8)+4=2(y+4)$

Combine like terms on both sides:

$y+12=2y+8$

Subtract y from both sides:

$12=y+8$

Subtract 8 from both sides:

$y=4$

Now, we can simply plug the y value in to the first equation, and solve for x:

$x=4+8$

Simplify:

$x=12$

<h3>Therefore, x is equal to 12 and y is equal to 4.</h3>

<u>Learn more about the substitution (and also elimination!) method here:</u>

brainly.com/question/14619835

4 0

2 years ago

An english reading list has 9 american novels and 7 english novels. A student must read 5 from the list and at least 3 must be e

Elenna [48]

$_7C_3\cdot {_{13}C_2}=\dfrac{7!}{3!4!}\cdot\dfrac{13!}{2!11!}=\dfrac{5\cdot6\cdot7}{2\cdot3}\cdot\dfrac{12\cdot13}{2}=2730$

7 0

2 years ago

What expression is equivalent to 5(2x-7)

yarga [219]

Answer:10x-35

Step-by-step explanation:

5(2x-7)

Clear bracket

10x-35

6 0

3 years ago

What is 64,005,874 in word and expanded form and 30,679,100

MakcuM [25]

64005874
word form: sixty-four million, five thousand, eight hundred and seventy-four
expanded form: 60000000 + 4000000 + 5000 + 800 + 70 + 4
30679100
word: thirty million, six hundred seventy nine thousand, and one hundred
30000000 + 600000 + 70000 + 9000 + 100

hope this helps

8 0

2 years ago