Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?

Answer:

x = 5

Step-by-step explanation:

90 - 55 = 35

8x - 5 = 35

    +5    +5

8x = 40

x = 5

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

Read more at; https://brainly.com/question/18452224

Answer:

If you buy a 36-ounce can of tomatoes the number of pints will be 2.24

Step-by-step explanation:

1 Fluid Ounces = 0.062 Pints

[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]

Answer:

um

Step-by-step explanation:

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Option B is the correct answer.

We have,

From the graph,

As the x-value increases, the function y-values goes to -∞.

As the x-value decreases, the function y-values goes to -∞.

Now,

f(x) is the y-value.

The end behavior of the graph f(x) using limits can be represented as,

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Thus,

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Answer:

175 km

Step-by-step explanation:

1.5/75=3.5/x

1.5x=262.5

x=175

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

Answer:

24

Step-by-step explanation:

18/24=0.75

Hope this helps!

Answer:

12

Step-by-step explanation:

Hi there !

144 | 2

72 | 2

36 | 2

18 | 2

9 | 3

3 | 3

1

144 = 2⁴ × 3²

√144 = √2⁴×3² = 2²×3 = 4×3 = 12

Good luck !                                                

Answer:

4th one please give me brainliest

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Divide 14 by -7, then plug in the result(-2) in place of x.  Run this new equation(-7*-2=14) through your calculator to be sure it's correct.

Answer:

have you found the answer I need it to

Answer:

22.25

Step-by-step explanation:

there are no special things to be considered.

You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:

20.25 + 2 = 22.25

Answer:54 = t + 9

Step-by-step explanation:

Answer:

Because it is 2 of the same number.

Step-by-step explanation:

Answer:

I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.

Step-by-step explanation:

I hope this helps. Have a good day! :)

Answer:

-1.34

Step-by-step explanation:

Answer:

A) The second day

B) 9/16 inches

A) Elsa reached farther on the second day because -1/16 > -5/8

B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:

-1/16 - (-10/16) = 9/16

Elsa reached 9/16 inches farther on the second day then she did on the first.

Hope this helps and have a great day!

Also stay safe! :))))

Answer:

B

Step-by-step explanation:

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8

Answer: No its not a right angled triangle. Please mark as brainliest!

Answer:

Yes

Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse

Answer:

trick question

Step-by-step explanation:

The equation cannot be answered since if you add like terms you have 3 x on each side but different total values

Answer:

100

Step-by-step explanation:

Answer:

1/8 tablespoons

Step-by-step explanation:

Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.

You can do this by multiplying 1/2 by 1/4.

[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]

Answer:

it would be 1/8

Step-by-step explantion:

simply divide

1/2÷4

=1/8

(that should be right)

The answeris : y=35x+75

Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

Answer:

its on google

Step-by-step explanation:

Answer:

a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.

b)Angle BXC = 70⁰

Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

Sum of interior angles of a triangle = 180⁰

55⁰ + 55⁰ + Angle BXC = 180⁰

110⁰ + Angle BXC = 180⁰

Angle BXC = 180⁰- 110⁰

= 70⁰

Answer:

A=2

B=1

C=4

D=5

E=3

130 degrees

138 degrees

angle 2 is not alternate exterior to any angle

angle 6

Step-by-step explanation:

sorry about that I don't know what I was thinking