Mari bought 6 packets of tomato seeds. Each packet contained 24 seeds. She planted 1 packet of the seeds, and 15 seeds sprouted. Which statement about the seeds in the remaining packets is best supported by this information?

Answer:

(x + 3) - x(x² + 6x + 9)

= (x + 3) - x(x + 3)²

= (x + 3)[1 - x(x + 3)]

= (x + 3)(1 - x² - 3x)

Step-by-step explanation:

Answer:

[tex](x+3)(1-x^2-3x)[/tex]

Step-by-step explanation:

First, let's factor that quadratic on the right:

[tex]x^2+6x+9[/tex] happens to factor nicely into [tex](x+3)^2[/tex], and putting that into our expression gets us

[tex](x+3)-x(x+3)^2[/tex]

Factoring out an (x + 3) from each term, we get

[tex](x+3)[1-x(x+3)][/tex]

Simplifying that expression on the right:

[tex](x+3)(1-x^2-3x)[/tex]

We can't factor that right-side expression any more, so we can just leave it like that!

Since 6x - 44 and 88 degrees are the same (exterior angles), we can start off with the first equation, 6x - 44 = 88

6x - 44 = 88

    +44    +44

6x      =   132

÷6         ÷6

x  = 22

same with the second problem (exterior angles are equal):

equation:

15x + 6 = 9x + 54

       -6              -6

15x    = 9x + 48

-9x      -9x

6x   =    48

÷6         ÷6

x   =   8

Hope this helped! :D

Answer:

1. x=22

2. x=8

Step-by-step explanation:

1. Opposite exterior angles are congruent, so 6x-44=88. You would add 44 to both sides, making the equation 6x=132, and then divide both sides by 6 to get your answer of x=22.

2. Again, opposite exterior angles are congruent, so 15x+6=9x+54. You would subtract 9x from both sides, making the equation 6x+6=54, then subtract 6 from both sides, making the equation 6x=48, and then divide both sides by 6 to get your answer of x=8.

(hope this helps!)

Answer:

343 : 729

Step-by-step explanation:

A cube is made up of 6 square faces. If each face has a side length of a, we can find the surface area of that cube with the formula [tex]A=6a^2[/tex], since we'll have 6 faces with area a². Let's call the edge length of the first cube a and the edge length of the second cube b. The ratio between their surface areas is then 6a² : 6b², or simply a² : b². If we compare this to our given ratio 49 : 81, we can see that a² = 49 and b² = 81, or, square rooting both equations, a = 7 and b = 9.

The volume of a cube with a side length a is a³, so the ratio between our cubes here must be a³ : b³. Using the values for a and b we just found, this ratio becomes 7³ : 9³, which we can simplify to 343 : 729.

Answer:

343 : 729

Step-by-step explanation:

If the ratio of the sides of a cube = a : b , then

ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Given ratio of areas = 49 : 81, then

ratio of sides = [tex]\sqrt{49}[/tex] : [tex]\sqrt{81}[/tex] = 7 : 9 , so

ratio of volumes = 7³ : 9³ = 343 : 729

Answer:

No real solutions

Step-by-step explanation:

0=x^2+6x+13

Step 1: Subtract x^2 from both sides.

0−x^2=x^2+6x+13−x^2

−x^2=6x+13

Step 2: Subtract 6x from both sides.

−x^2−6x=6x+13−6x

−x^2−6x=13

Step 3: Since the coefficient of -x^2 is -1, divide both sides by -1.

−x^2−6x/−1 = 13/−1

x^2+6x=−13

Step 4: The coefficient of 6x is 6. Let b=6.

Then we need to add (b/2)^2=9 to both sides to complete the square.

Add 9 to both sides.

x^2+6x+9=−13+9

x^2+6x+9=−4

Step 5: Factor left side.

(x+3^)2=−4

Step 6: Take square root.

x+3=±√−4

Step 7: Add -3 to both sides.

x+3+−3=−3±√−4

x=−3±√−4

Answer:

35+x=300

Step-by-step explanation:

35 more would be 35 +, and then I added x in as the "number", and since it all adds up to 300, there would be the =300.

(hope this helps :P)

Answer:

hope this helps

Step-by-step explanation:

PLZZZ MARK BRAINLIEST

Answer:

1.46

Step-by-step explanation:

We know that

[tex]\frac{73}{50}[/tex]

is the same as

73÷50

Then using

Long Division for 73 divided by 50

and rounding to a Max of 3 Decimal Places gives us

=1.46

have a wonderful day

Answer:

m=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

1--2=3/(0-1)

3/-1=-3

Answer:

she can purchase 36 guppies

Step-by-step explanation:

80-32=48, 48-12=36

Answer:

The entered points belong to a vertical line. There is no slope.

Equation: x = -5.

Step-by-step explanation:

Answer:

slope = infinite

Step-by-step explanation:

if a line passes through (-5, 0) and (-5, 5), then it's running straight up and down – the dead giveaway is that fact that the x-coordinates are the same.

by definition, the slope of a vertical line is infinite.

Answer:

(3x + 11) units

Step-by-step explanation:

The length of a rectangle is 5(x+2) units.

The width of the rectangle measures (2x-1) units.

The difference between the rectangles length and width is given as:

Length - Width

(5(x + 2) - (2x - 1) units

(5x + 10 - 2x + 1) units

(5x - 2x + 10 + 1) units

(3x + 11) units

Therefore, the algebraic expression for the difference between the rectangles length and width is given as:

(3x + 9) units

Answer:  7m+8

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

To determine how much of a persons weight is water, multiply 3/4 by their weight.

weight of water =  weight x 3/4                              

100 x 3/4 0r 100 x 0.75 ( same thing)

75

The student weighs 75 lbs underwater

P.S it's not 3.4 it's 3/4 = 75% of our body is made up of water.

Answer:

The answer should be C) 4x + 5x = 180

Step-by-step explanation:

Answer:

4x+5x=180

Step-by-step explanation:

to find x they must both add up to 180

Answer:

-6(x + 3)

= -6x - 18

hope it helps you

Answer:

2

Step-by-step explanation:

cuz it's the number below

Answer:

z=50

y and x=65

Step-by-step explanation:

z=180-130=50 because the total angles on a straight line sum up to 180

x and y=(180-50)/2=65 because 2 angles in an isosceles triangle are equal

Answer:

5,940 1/8 inches

Step-by-step explanation:

5,940 1/8 inches

Answer:

18/30 = 0.6 km/hr

Step-by-step explanation:

Answer:

if it's easy why dont you do it,that picture dont even take good

Answer:

P(0)=2

Step-by-step explanation:

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 12, y = 60.

=> (60) = (12)k, k = 5.

Therefore when x = 20,

y = kx = (5)(20) = 100.

Answer:

its answer is A

Step-by-step explanation:

as perimeter is tge edition of all sides

Answer:

12, i think

Step-by-step explanation:

I cant really see the umbers, so I guessed

Answer: The required rate = 0.64 per pounce.

Step-by-step explanation:

We are given that,

Postal service charge = $10.30 per pound.

As we know,  1 pound = 16 ounces.

So,  Postal service charge = $10.30 per 16 ounces.

Postal service charge[tex]=\$\dfrac{10.30}{16}\ \text{ per ounce}[/tex]

[tex]\approx 0.64\text{ per ounce}[/tex]

Hence, the required rate = 0.64 per pounce.

Given:

The different sets of ordered pairs in the options.

To find:

The sets of ordered pairs that show equivalent ratios

Solution:

The set of ordered pairs show equivalent ratios, if

[tex]\dfrac{y}{x}=k[/tex]

Where, k is a constant.

For option 1,

(1, 2), (2, 3), (4, 7)

[tex]\dfrac{2}{1}\neq \dfrac{3}{2}[/tex]

For option 2,

(2, 2), (4, 4), (6, 6)

[tex]\dfrac{2}{2}=\dfrac{4}{4}=\dfrac{6}{6}=1=k[/tex]

The set of ordered pairs (2, 2), (4, 4), (6, 6) show equivalent ratios.

For option 3,

(3, 1), (4, 1), (5, 1)

[tex]\dfrac{1}{3}\neq \dfrac{1}{4}[/tex]

For option 4,

(4, 1), (8, 2), (12, 3)

[tex]\dfrac{1}{4}=\dfrac{2}{8}=\dfrac{3}{12}=k[/tex]

The set of ordered pairs (4, 1), (8, 2), (12, 3) show equivalent ratios.

For option 5,

(2, 1), (4, 3), (5, 4)

[tex]\dfrac{1}{2}\neq \dfrac{3}{4}[/tex]

So, sets of ordered pairs in options 1, 3 and 5 does not show equivalent ratios.

Therefore, the correct options are 2 and 4.

Answer:

80 gifts

Step-by-step explanation:

Maddison hid 12 of her sister's birthday gifts around the house. If this was 15% of the gifts, how many total gifts did her sister have?

Let the Total gifts that her sister has be represented by x

Hence:

15% of x = 12

15/100 × x = 12

15x /100 = 12

Cross Multiply

15x = 100 × 12

15x = 1200

x = 1200/15

x = 80 gifts

Hence, the total gifts her sister has is 80 gifts

Answer:

80 total gifts

Step-by-step explanation:

Step one:

given data

Maddison hid 12 of her sister's birthday gifts

we are told that 12 gift is 15% of the total gifts

let the total gifts be x

so

=15/100*x= 12

=0.15x= 12

divide both sides by 0.15

x= 12/0.15

x=80 total gifts

Answer:

17 calories

Step-by-step explanation:

Answer:125

Step-by-step explanation: 5x5x5=125