Simplify the variable expression below as much as possible.
(4.5)x+ 3x + 2

Answer:

The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1+1=2

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Answer:

22

Step-by-step explanation:

Step-by-step explanation:

C = 180 - 112 = 68°

A = 180 - 68 - 51 = 61°

B = 180 - 61 = 119°

Another way :

We know that B = C + 51 ==> B = 68 + 51 = 119°

Answer:

The average repair cost per saw for the past month is 20.

The bound of error of estimation is ±10.

Step-by-step explanation:

a) Data and Calculations:

Industry        No.of saws   Total repair cost   Average

                                           for past month

1                            3                        50           16.67

2                           7                        110           15.71

3                          11                       230          20.91

4                          9                        140           15.56

5                          2                         60           30

6                         12                       280           23.33

7                         14                       240           17.14

8                          3                         45           15

9                          5                        60           12

10                         9                      230           25.56

11                          8                       140           17.50

12                         6                       130           21.67

13                         3                        70           23.33

14                         2                        50           25

15                         1                          10           10

16                        4                         60           15

17                       12                       280           23.33

18                        6                        150           25

19                        5                         110           22

20                       8                        120           15

Total               130                    2,565           19.73

Average = Sum of the total repair cost for past month divided by the number of saws repaired

= 19.73 (2,565/130)

= 20

The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean

= 30 - 20

= 10

The lower bound = 10

The bound of error is also = (30 -10)/2 = 10

Answer:

i.+25

ii.+18

iii.-10

Step-by-step explanation:

hope this helps

Answer and step-by-step explanation:

We need to show the increase or decrease in Andre's money by representing it through a number.

i. His uncle gave him $25 as a present

This would be +$25

ii. He earned $18 dollars tutoring

This would be +$18

iii. He spent $10 on a book

This would be -$10

Answer:

Step-by-step explanation:

true it is true true true

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

Answer:

240

Step-by-step explanation:

12 times 2 is 24

24 times 10 is 240

Have a nice day

Answer:

240 [tex]Inches^{3}[/tex]

Step-by-step explanation:

The length of the altitude of the equilateral triangle below is E) 6√3.

The answer is E) 6√3.

The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.

In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.

The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.

Therefore, the length of the altitude of the equilateral triangle is 6√3.

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Answer:

40 feet

Step-by-step explanation:

140=2×(30+x) /:2

70=30+x /-30

40=x

Answer:

x = 7.31 cm

Step-by-step explanation:

cos 70° = 3.8/AB

0.3420 = 3.8/AB

AB = 11.11 cm

x = 11.11 - 3.8 = 7.31 cm

The value of x which is the radius of circle A is 7.31 cm

An equation is an expression that shows the relationship between two or more numbers and variables.

AB = AC, hence ∠B = ∠C = 70°

∠A + ∠B + ∠C = 180° (angles in a triangle)

∠A + 70 + 70 = 180

∠A = 40°

BC = 3.8 + 3.8 = 7.6

Using sine rule:

BC/sinA = AB / sinB

7.6/sin(40) = AB/sin(70)

AB = 11.11 cm

x = 11.11 - 3.8 = 7.31 cm

The value of x which is the radius of circle A is 7.31 cm

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Answer:

3^12

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

"It is the length of the line joining the two points."

In any triangle,

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

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Answer:  4 3/8 yards of wood

Step-by-step explanation:

It would be 5 times the ammount needed for one birdhouse so it would be-

7/8 x 5= 35/8 or 4 3/8

Answer:

so fun and amazing!

Step-by-step explanation:

9514 1404 393

Answer:

  12 ft

Step-by-step explanation:

Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...

  A = LW

  264 = (2w-2)w

  132 = w² -w . . . . . . . divide by 2, eliminate parentheses

  132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square

  √132.25 = w -0.5 . . . . . take the square root

  0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root

The width of the living room is 12 feet.

Answer:

Jax should quit baseball hes bad at it

Step-by-step explanation:

Answer:

5. is the answer

Step-by-step explanation:

Answer:

[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]

Step-by-step explanation:

Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.

Answer: 89

Step-by-step explanation:

right on edge

Answer:

∠GDF = 26°

Step-by-step explanation:

6y + 2 = 7y - 2

subtract 6y from each side of the equation:

2 = y - 2

add 2 to each side:

y = 4

6(4) + 2 = 26°

Answer:

B) 44

Step-by-step explanation:

x + 54 + 82 = 180

x + 136 = 180

x = 180 - 136

x = 44

Answer:

x = 18

Step-by-step explanation:

Sum of exterior angles of any polygon = 360

2x + 2x + 3x + 4x + 4x + 5x = 360

20x = 360    {Divide both sides by 20}

x = 360/20

x = 18

Answer:

3:8

30/80

18 to 48

Step-by-step explanation:

3:8 (6 and 16 divided by 2)

30/80 (6 and 16 times 5)

18 to 48 (6 and 16 times 3)

Answer:68%

Step-by-step explanation:

find area of the circle=50.2

Find the are of the triangle=16

Then find ratio=16/50.2

Then reduce=8/25.1=32%

Then subtract= 100-32=68%

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

Answer:

Step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

\frac{sb}{cs} = \frac{ra}{cr} ← substitute values

\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2