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3 years ago

13

tickets to a science expedition cost $5.75 each for students and seven dollars for adults how many students and adults went if t

he ticket charge was $42.75

1 answer:

zysi [14]3 years ago

6 0

7 students and 6 adults (I think lol sorry if I'm wrong)

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Karlie painted a portrait. The height of the portrait measures 14 inches. The width is half as long as the height. What is the a

NISA [10]

14 times 7, so 98 square inches

6 0

2 years ago

Read 2 more answers

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

What is the slope of the line that passes through the points (9,4) and (9,-5)?

jeka94

Answer:

undefined

Step-by-step explanation:

4- -5/9-9

9/0

undefined

6 0

3 years ago

Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both stations spot a fire. The bearin

MakcuM [25]

Answer:

AC = 13.38 miles

BC = 12.65 miles

Where C is the fire location

Step-by-step explanation:

Two fire-lookout stations A and B are 14 miles apart.

The bearing of the fire from station A is Upper N 35 degrees E .

This implies that angle A = 90-35= 55°( reason because B is directly NE of A)

bearing of the fire from station B is N 30 degrees W.

This signifies that angle B is 90-30 =60°

Let's call the fire position C

Angle C = 180-60-55

Angle C= 65°

For Side AC

AB/sin C = AC/sin B

14/sin 65 = AC/sin 60

AC = 13.38 miles

For Side BC

BC/sin A = AB/sin C

BC = sin 55 * (14/sin 65)

BC = 12.65 miles

6 0

3 years ago

Triangle ABC is shown below:

natka813 [3]

Answer:

O ( 3 - 7 )

Step-by-step explanation:

i think I calculated it and i god that answer if it's wrong my bad

4 0

2 years ago