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4 years ago

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Mathematics

1 answer:

ELEN [110]4 years ago

3 0

Use PEMDAS

Parentheses

Exponents

Multiplication (L-R)

Division (L-R)

Addition (L-R)

Subtraction (L-R)

(30-9+3)+9

(21+3)+9

24+9

33 is your answer

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If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?

Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

$(C_x,C_y)$ ----> coordinates of point C

we have that

The horizontal distance AB is equal to

$AB_x=10-2=8\ units$

The vertical distance AB is equal to

$AB_y=10-4=6\ units$

Find the horizontal coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

$\frac{AC_x}{CB_x}=\frac{3}{1}$

$AC_x=3CB_x$ ----> equation A

$AC_x+CB_x=8$ ----> equation B

substitute equation A in equation B

$3CB_x+CB_x=8$

$4CB_x=8\\CB_x=2$

$AC_x=3(2)=6$

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

$C_x=A_x+AC_x=2+6=8$

Find the vertical coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

$\frac{AC_y}{CB_y}=\frac{3}{1}$

$AC_y=3CB_y$ ----> equation A

$AC_y+CB_y=6$ ----> equation B

substitute equation A in equation B

$3CB_y+CB_y=6$

$4CB_y=6\\CB_y=1.5$

$AC_y=3(1.5)=4.5$

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

$C_y=A_y+AC_y=4+4.5=8.5$

therefore

The coordinates of point C are (8,8.5)

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3 years ago

Mr. Barresi is ordering pizzas for a team party. He knows that 7 pizzas will feed 25 students. If 300 students are attending the

liubo4ka [24]

Divide 300 by 25 and multiply with 7.

300/25 x 7 = X

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3 years ago

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10 less than a number is the same number doubled. What is the number?

slega [8]

Answer:

-10

Step-by-step explanation:

Let x = number

10 less than a number is the same number doubled

x-10 = 2x

Subtract x from each side

x-10-x = 2x-x

-10 = x

The number is -10

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3 years ago

Find the product: −5/3 (−2/3 )(−18)

Dovator [93]

Answer:

A) −20

Step-by-step explanation:

−5/3 (−2/3 )(−18)

Multiply the first and second terms. A negative times a negative is a positive

-5/3 * -2/3 = 10/9

10/9 * -18

Rewriting for easier math

-18/9 * 10

-2 * 10

-20

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3 years ago

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Simplify 9 − (−4). (1 point) a −13 b −5 c 5 d 13

Assoli18 [71]

Answer:

d 13

Step-by-step explanation:

Subtracting means adding the opposite.

To subtract -4, you add the opposite of -4 which is 4, so you add 4.

9 - (-4) = 9 + 4 = 13

Answer: d 13

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3 years ago

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