Faye has 180 yellow beads and 12 packets. Faye decided to double the number of yellow beads in the mix. How many packets will she make if she fills rach oacket with 60 beads

Answers

Answer 1

Answer: Faye has 24 packets of yellow beads

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Between what 2 consecutive integers does -35 lie between

Answers

Answer:

-34 and -33

Step-by-step explanation:

consider a number line on the negative side,and get the two dgts which lie on the left and right of the number

One half the regular price is $13

Answers

26 is the regular price. 13+13=26 26/2=13

1/2 * x=13
(2)1/2*x=13(2)
x=26
or
x/2 = 13
(2)x/2 = 13(2)
x=26
Answer: $26
Hope that helps

Figure ABCD has vertices A(−2, 3), B(4, 3), C(4, −2), and D(−2, 0). What is the area of figure ABCD?

Answers

Answer:

The area of figure ABCD is:

24 square units.

Step-by-step explanation:

We see that the given points form the vertices of a trapezium ABCD with bases AD and CB with measure,

AD= 3 units

and CB=5 units

and the height of the trapezium is: AB= 6 units.

Hence, the area of trapezium ABCD is:

$Area=(1)/(2)* (AD+CB)* AB\n\n\nArea=(1)/(2)* (3+5)* 6\n\n\nArea=(1)/(2)* 8* 6\n\n\nArea=24$

Hence, the area of figure ABCD is:

24 square units.

A sweater for 36.00 at 7% sales tax how much is that

Answers

7% is 0.07 in decimal form and ×1 represents the original price

36×(1+0.07)= 38.52

Which system of equations is represented by the graph? A. y = x2 − 5x − 3
6x − y = −27

B.y = x2 − 5x + 3
6x − y = 27

C. y = x2 + 5x + 3
6x + y = −27

D. y = x2 + 5x − 3
6x + y = 27

Answers

Answer:

The correct option is C.

Step-by-step explanation:

The vertex form of a parabola is

$y=a(x-h)^2+k$ .... (1)

Where, (h,k) is vertex.

From the given figure it is clear that the vertex of the parabola is at (-2.5, -3.25) and the y-intercept is (0,3).

Substitute h=-2.5, k=-3.25, x=0 and y=3 in equation (1) to find the value of a.

$3=a(0+2.5)^2-3.25$

$3+3.25=6.25a$

$6.25=6.25a$

Divide both sides by 6.25.

$1=a$

Substitute h=-2.5, k=-3.25 and a=1 in equation (1), to find the equation of parabola.

$y=1(x+2.5)^2-3.25$

$y=x^2+5x+6.25-3.25$

$y=x^2+5x+3$

The equation of parabola is $y=x^2+5x+3$ .

If a line passes through two points then the equation of line is

$y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$

The line passes through two points (-6,9) and (-5,3).

$y-9=(3-9)/(-5+6)(x+6)$

$y-9=(-6)/(1)(x+6)$

$y-9=-6(x+6)$

$y-9=-6x-36$

Add 9 on both the sides.

$y=-6x-36+9$

$y=-6x-27$

The equation of line is y=-6x-27.

Therefore the correct option is C.

C. y = x2 + 5x + 3
6x + y = −27

Find the x and y intercepts of 10x = -5y

Answers

Answer:

(0,0)

Step-by-step explanation:

To find the x intercept we set y = 0 and solve for x

10x = -5y

10x = 0

x =0

To find the y intercept we set x = 0 and solve for y

10x = -5y

0 = -5y

0=y

The x and y intercepts are 0

(0,0)

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