Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?

Answer:

First, we write the augmented matrix.

⎡

⎢

⎣

1

−

1

1

2

3

−

1

3

−

2

−

9

|

8

−

2

9

⎤

⎥

⎦

[1−1123−13−2−9 | 8−29]

Next, we perform row operations to obtain row-echelon form.

−

2

R

1

+

R

2

=

R

2

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

3

−

2

−

9

|

8

−

18

9

⎤

⎥

⎦

−

3

R

1

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

0

1

−

12

|

8

−

18

−

15

⎤

⎥

⎦

−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]

The easiest way to obtain a 1 in row 2 of column 1 is to interchange

\displaystyle {R}_{2}

R 2

and

\displaystyle {R}_{3}

R 3

.

Interchange

R

2

and

R

3

→

⎡

⎢

⎣

1

−

1

1

8

0

1

−

12

−

15

0

5

−

3

−

18

⎤

⎥

⎦

InterchangeR2andR3→[1−11801−12−1505−3−18]

Then

−

5

R

2

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

57

|

8

−

15

57

⎤

⎥

⎦

−

1

57

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

1

|

8

−

15

1

⎤

⎥

⎦

−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]

The last matrix represents the equivalent system.

x

−

y

+

z

=

8

y

−

12

z

=

−

15

z

=

1

x−y+z=8 y−12z=−15 z=1

Using back-substitution, we obtain the solution as

\displaystyle \left(4,-3,1\right)

(4,−3,1)

Answer:

C

Step-by-step explanation:

17.156 is the irrational number as it is terminating(means it ends)

Rest all are irrational

Answer:

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Step-by-step explanation:

Let's first state the null and alternative hypotheses for this research;

H0: p = 0.30

Ha: p ≠ 0.30

Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b......................

Step-by-step explanation:

.

Step-by-step explanation:

∆ABC =>by reflection over x-axis and then dilation with scale factor 2, the point of center (5, -1) ==> ∆ XYZ

Answer:

x ≈ 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Answer:

∠ 1 = 128°

Step-by-step explanation:

∠6 = 7x + 3                                 [ vertically opposite angles ]

∠6 = 4x + 24                               [ corresponding angles ]

7x + 3 = 4x + 24

7x - 4x = 24 - 3

3x = 21

x = 7

∠1 + ( 4x + 24 )= 180°                           [ straight line angles ]

∠1 + 4 ( 7 ) + 24 = 180°                      [ Substituting x = 7 ]

∠ 1 + 28 + 24 = 180°

∠ 1 = 180 - 24 - 28

∠ 1 = 128°

Answer:

∠B = 74°

a ≈ 14.5 inches

c ≈ 11.4 inches

Step-by-step explanation:

The given parameters of triangle ΔABC are;

∠A = 62.2°, ∠C = 43.8° and side [tex]\overline{AB}[/tex] = b = 15.8 in

By sine rule, we have;

[tex]\dfrac{a}{sin(\angle A)} = \dfrac{b}{sin(\angle B)} = \dfrac{c}{sin(\angle C)}[/tex]

[tex]a = {sin(\angle A)} \times \dfrac{b}{sin(\angle B)}[/tex]

By angle sum property, we have;

∠B = 180° - (∠A + ∠C)

∴ ∠B = 180° - (62.2° + 43.8°) = 74°

∠B = 74°

[tex]\therefore {a} = {sin(62.2^{\circ})} \times \dfrac{15.8}{sin(74^{\circ})} \approx 14.5[/tex]

a ≈ 14.5 in.

[tex]c = {sin(\angle C)} \times \dfrac{b}{sin(\angle B)}[/tex]

[tex]\therefore {c} = {sin(43.8^{\circ})} \times \dfrac{15.8}{sin(74^{\circ})} \approx 11.4[/tex]

c ≈ 11.4 in.

Answer:

<NKM is the first.the second is <MKN

Answer:

< NKM and <MKN

Step-by-step explanation:

Answer:

D = [tex]\sqrt{\frac{216W}{35L} }[/tex]

Step-by-step explanation:

From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;

W [tex]\alpha[/tex] L[tex]D^{2}[/tex]

W = kL[tex]D^{2}[/tex]

where k is the constant of proportionality.

When W = 140, D = 4 and L = 54, then;

140 = k(54)[tex](4)^{2}[/tex]

      = 864k

k = [tex]\frac{140}{864}[/tex]

  = [tex]\frac{35}{216}[/tex]

k = [tex]\frac{35}{216}[/tex]

⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]

So that;

35L[tex]D^{2}[/tex] = 216W

[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]

D = [tex]\sqrt{\frac{216W}{35L} }[/tex]

Answer:

8$ divided by 4.which is equal to 2

Answer:

Have you tried photo math.? It can help you find the answer

Step-by-step explanation:

here is the answer bae. Feel free to ask for more

Answer:

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

Step-by-step explanation:

Given:

Sin (A + B - C)

Find;

Expansion of given expression

Computation:

Sin (A + B - C)

Sin [(A + B) - C]

Sin(A + B)CosC - Cos(A + B)SinC

[SInACosB + CosASinB]CosC - [CosACosB - SinASinB]SinC

SInACosBCosC + CosASinBCosC - CosACosBSinC - SinASinBSinC

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

Answer:

3,493 digits

Step-by-step explanation:

Total pages of the book = 1,150

Page 1 - 9 = 9 digits

Page 10 - 99

= 2 * 90 pages

= 180 digits

Page 100 - 999

= 3 × 900 pages

= 2,700 digits

Page 1000 - 1,150

= 4 × 151 pages

= 604 digits

Total digits required in numbering 1,150 pages = 9 + 180 + 2,700 + 604

= 3,493 digits

Total digits required in numbering 1,150 pages = 3,493 digits

9 on the top as well so 9 x 2 18 3x2 6 3

Answer:

28 cm

Step-by-step explanation:

The perimeter (P) is the sum of the sides

P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )

   = 8 + 6 + 8 + 6

   = 28 cm

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Vowels: A, E, I, O, U

There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Hope this is helpful

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you just plug in the answers, so lets take (1,6) and plug it into y = 6x

You could just solve it so it'd be like

6 = 6(1) and

12 = 6(2)

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Example look at the pic please 7,225 cm = ___ m

Meters are larger than centimeters, so you expect your answer to be less than 7,225.

Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.

Cancel similar units, multiply, and simplify.

7,225 centimeters = meters

Answer:

Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.

if QRST is indeed a quadrilateral, then, Check the picture below.

Answer:

Distance rode = 6 miles

Step-by-step explanation:

distance from home = 2 miles

remaining distance =  4 miles

The distance rode = 4 + 2 = 6 miles

Answer:

8

Step-by-step explanation:

I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!

Answer:

185×30÷100=55.5

HERES YOUR answer

Answer:

Translation across the coordinate plane

Step-by-step explanation:

Here, we want to get the kind of transformation that has occurred to the shape

from the given coordinate diagram, we can see that A shifted from (2,3) to (-3,6)

B shifted from (2,-2) to (-3,1)

and C shifted from (-1,-4) to (-6,-1)

If we look at these, we can observe that there is a change in the x-axis coordinate in each by (-1-(-6) or 2-(-3) = 5 units

and there is a change in the y-axis value by (3-6) = -3 units

so the transformation here can be represented generally as;

(x -5, y+ 3)

With this, we can see that what we have represented is simply a translation across the coordinate plane

Answer:

please mark as brilliant thanks for the above

1) Angle UWV

2) Angle VWU

Answer: C, You can tell the trend line is incorrect since all of the points are below it. A trend line should be in-between all of the points to give the best estimate.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

When the point on the x-axis is on -3, the point on the y-axis is 2. Therefore, f(-3) is equal to 2.

If this helps please mark as brainliest