What is a better buy- a popsicle at $0.75 or a popsicle at 70¢ and why? Group of answer choices The popsicle that is 70¢ because the 7 is in the tens place is more than the 7 in the tenths place. The popsicle that is 70¢ because $0.75 is 75¢ and more than 70¢. The popsicle that is $0.75 because the $0.75 is more than 70¢. The popsicle that is $0.75 because the 7 is in the tenths place is more than the 7 in the tens place.

Why do this?

Because we want to be able to factor the left hand side into the form p^2, where p is some algebraic expression. This will help us ultimately solve for x.

Currently, the left hand side is x^2+16x which does factor to x(x+16), but that isn't in the form p^2. We want something like (x+1)^2 or (x+2)^2. The general form is (x+k)^2 where k is some fixed constant.

Let's expand out (x+k)^2 using the FOIL rule and we get x^2+2kx+k^2

The x coefficient is 2k. If we cut that in half, we get k. Squaring that result leads to k^2.

So we have this order: 2k cuts in half to k then square it to get k^2

For x^2+16x, we have the x coefficient as 16. That cuts in half to 8, then that squares to 64. We add 64 to both sides

Note how

x^2+16x = 9

x^2 + 16x + 64 = 9+64

(x+8)^2 = 73

From here, we apply the square root to both sides and then subtract 8 from both sides to fully isolate x. You would get two different solutions.

-------------

I recommend you use the FOIL rule to confirm that (x+8)^2 expands out to x^2+16x+64, to help check your work.

They have to sell D. 75 shirts to make a profit of $300.

The total cost of buying and printing the shirts was $600.

In order to make a profit of $300, they would therefore have to raise:

= Cost + profit

= 600 + 300

= $900

As they are selling each shirt $12, the number of shirts they would have to sell to get to $900 is:

= 900 / 12

= 75 shirts

They would therefore have to sell 75 shirts in order to make a profit of $300.

Find out more at https://brainly.com/question/18477566.

Answer:

x>-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

100(1.25)=125

Answer:

0.1, -0.2, -0.5

Step-by-step explanation:

.

Step-by-step explanation:

.

Answer: 7(b-1)^2-63

Step-by-step explanation:

Factor out 7

7(b^2-2b-8)

Add and subtract (-1)^2:

7(b^2-2b-8+(-1)^2-(-1\)^2)

Complete the square:

7((b-1)^2-8-(-1)^2)

Simplify:

7(b-1)^2-63

Answer:

16a - 6b + 6

Step-by-step explanation:

5a + 5b - 5 + 11a - 11b + 11 = 5a + 11a + 5b - 11b - 5 + 11 = 16a - 6b + 6

Answer:

Any elements that are in either H or W will be in the union of the sets

Step-by-step explanation:

Anytime that is asking for the union of two sets with the symbol (U) than it is asking you to figure out what elements are in either one of the two sets.

That means the Union would be in either set.

Therefore (Any elements that are in either H or W will be in the union of the sets)

(Also took the test)

Answer:

(13/2, 13/2)

Step-by-step explanation:

Answer:

please send a picture so I can see

Answer:

The answer is No because you have to have 1 right angle/90 degree angle for it to be a right angle hints the name right angle

Step-by-step explanation:

Please have a great week and mark me as brainllest god bless you

[o]-[o]

\___/

Answer:

2 1/2

Step-by-step explanation:

When multiplying fractions, you multiply the numerators together and the denominators together.

4 • 5/8

Multiply 4 and 5.

20/8

You can simplify this by dividing both parts by 4

5/2

5/2 is also 2.5

2.5 written as a mixed number is 2 1/2.

This is your answer.

Hope this helps!

Answer:

Number of students in each van = 18

Number of students in each bus = 53

Step-by-step explanation:

Given: The senior class at High School A rented and filled 2 vans  and 7 buses with 407 students.

High School B rented and filled 1 van and 7 buses with  389 students.

Also, every van and the van had the same number of students in it.

Solution:

Let x denotes number of students in each van and y denotes number of students in each bus.

According to the given information,

From (ii), put  in (i)

Put  in

Number of students in each van = 18

Number of students in each bus = 53

Please give brainliest.

Answer:

x = -1, and y = -2, giving you the answer (-1, -2)

Step-by-step explanation:

In the second equation, we're told that y is equal to 2x.  With that, we can replace "y" in the first one with "2x", giving us:

-4x - 2x = 6

-6x = 6

x = -1

Now that we know the value of x, we can simply plug it into the first equation to find y:

-4x - y = 6

-4(-1) - y = 6

4 - y = 6

-4 + y = -6

y = -6 + 4

y = -2

So x = -1, and y = -2

Answer:

469.9 ft^2

Step-by-step explanation:

The rate at which soil covers the garden is:

  125.3 ft^2  /  (1 bag)

If Stephanie has 3 3/4 bags of soil to start with, the area she can cover with this soil is (rate)(number):

   125.3 ft^2          15 bags

------------------- * ---------------- = 469.9 ft^2 can be covered with 3 3/4 bags

        1 bag                  4

Answer:

x = [tex]\frac{85}{3}[/tex]

Step-by-step explanation:

From the figure attached,

ΔABC ~ ΔADE

Therefore, by the property of similar triangles corresponding sides of the given triangles will be proportional.

[tex]\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}[/tex]

[tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]

[tex]\frac{12}{20}=\frac{17}{x}[/tex]

x = [tex]\frac{20\times 17}{12}[/tex]

x = [tex]\frac{85}{3}[/tex]

Answer:

Part A

The population for the first four years are;

Year 1; 26,000,000,

Year 2; 22,100,000

Year 3;  18,785,000

Year 4; 15,967,250

Part B

i)The third year

ii) Provision of spawning environment and the reduction of predators

Part C

The population after 10 years is approximately  139,208,436

Step-by-step explanation:

Part A

The given parameters are;

The rate at which the population is decreasing = 15%

The population of the walleye at the beginning of the current year, P = 26 million

Therefore, we have;

The population of subsequent year = 0.85 × The population of the current year

Therefore, we have a geometric series, with a first term, a = 26 million, and a common ratio, r = 0.85, given as follows;

aₙ = a + ar + ar² + ...

Therefore the first 4 years using 26 million as the first term are;

a₁ = 26 × 10⁶  

a₂ = 26 × 10⁶ × 0.85 = 22,100,000

a₃ = 26 × 10⁶ × 0.85² = 18,785,000

a₄ = 26 × 10⁶ × 0.85³ = 15,967,250

The population for the first four years are;

26,000,000, 22,100,000, 18,785,000, 15,967,250

Part B

i) Given that the walleye population are considered to be in rehabilitation state when they are between 15 and 20 million, we have;

The population in the third year = 18,750,000 < 20,000,000

Therefore, the population enters rehabilitation state in the 3rd year

ii) Other intervention method includes provision of a adequate environment for spawning and the removal of predators

Part C

The formula for the sum of the geometric progression is presented as follows;

[tex]S_n = \dfrac{a^1 - a^1 \cdot (1 + r)^n}{1 - (1 + r)}[/tex]

Therefore, we have;

[tex]S_n = \dfrac{26 - 26 \cdot (1 - 0.15)^{10}}{1 - (1 - 0.15)} = 139.208436581[/tex]

The population after 10 years, Sₙ = 139.208436581 × 10⁶ ≈ 139,208,436

Remember the are of a square is the side of a square squared.

This meant that this square's area=5^2=25

Done!

Answer:

the answer isss 62 cm .........

Answer:

160

Step-by-step explanation:

PEMDAS

parenthesis go first 24+3= 27

there are no exponents but their is multiplication 27 times 6 is 162 their is no (D)Division (A)Addition but their is (S) Subtraction 162 minus 2 is 160

Answer:

x = 17

Step-by-step explanation:

number of sides (n) = 5

Sum of angles of polygon = (n - 2) *180

                                            = 3 * 180 = 540

9x + 71 + 92 + 5x + 139 = 540

9x +5x + 71 + 92 + 139 = 540

                   14x + 302   = 540

                               14x  = 540 - 302

                                14x = 238

                                    x = 238/14

x = 17

Answer:

x= 226/3 or 75.33333333333333333333333333333

Step-by-step explanation:

14y+82=6x-20

y=25

Sub y=25 into 14y+82=6x-20

14y+82=6x-20

14(25)+82=6x-20

Calculate as follows:

14(25)+82=6x-20

350+82=6x-20

432=6x-20

Add twenty to both sides:

432+20=6x-20+20

452=6x-0

452=6x

Divide both sides by 6

452=6x

452/6=6x/6

452/6=x

x= 226/3 or 75.33333333333333333333333333333

Answer:

2x6x8

2x6=12

12x8=96

Step-by-step explanation:

Answer:

-3/1 and -2/1

Step-by-step explanation:

Answer:

y = -2/3x + 5

Step-by-step explanation:

Find the slope by doing change in y / change in x:

-1 / 1.5 = -2/3

Then, put the equation in point slope form:

y - 5 = -2/3(x - 0)

y - 5 = -2/3x

y = -2/3x + 5

Answer:

The answer is 7b+14.

Step-by-step explanation:

z-z +2b+5b + 18-4

Answer:

Last one

Option D is correct

2x^3 - 7x^2 + 4x - 3

Step-by-step explanation:

= x(2x^2 - x + 1) -3 (2x^2 - x + 1)

= 2x^3 - x^2 + x - 6x^2 + 3x - 3

= 2x^3 - x^2 - 6x^2 + x + 3x - 3

= 2x^3 -7x^2 + 4x -3 (Ans)