The table below represents a proportional relationship. The unit rate of the relationship is

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

We have the equation

[tex]10-(x+2)=7x[/tex]

The first thing we need to do is distribute the negative throughout the parenthesis

[tex]10-x-2=7x[/tex]

Now, we can combine like terms

[tex]8-x=7x[/tex]

Now we can add x to each side

[tex]8x=8[/tex]

And lastly, we can divide each side by 8

[tex]x=1[/tex]

Our last step is to check our answer

[tex]10-(1+2)=7(1)\\\\10-(3)=7\\\\7=7[/tex]

Answer:

1

Step-by-step explanation:

1) 10-x-2=7x

2) -x + 8 = 7x

3) 8x=8

4) x=1

Answer:

342 ft squared

Step-by-step explanation:

You know how to find the area of a rectangle: Multiply the dimensions together (length x width).

You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.

First, find the area of the big rectangle:

18 * 25 = 450 ft squared

Now, find the area of the small one:

9 * 12 = 108 ft squared

Finally, subtract the area of the small rectangle from the area of the big one:

450 - 108 = 342 ft squared

Hope this helps! Please comment on this answer if you have any questions :)

Answer: 15

Step-by-step explanation: I used the pythagorean theorem. X is a, 8 is b, and 17 is c. The squares of a and b added together are c. So I got 15.

Answer:

x=15

Step-by-step explanation:

First, you are going to find a Pythagorean Triple. As you can see from the picture you have provided, 17 ft is the longest side. So, I squared 17 and got 289. I did this because I am using the Pythagorean Theorem (a^2+b^2=c^2). Then, I squared 8 and got 64. Then, still following the Pythagorean Theorem, I subtracted 64 from 289. I got 225. Then, I found the square root of 225. I got 15. So, x=15.

Answer:

A, C, and E are correct

Step-by-step explanation:

Answer:

C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]

Step-by-step explanation:

This is the expression that is shown in the graph:

[tex]\frac{3}{4} / \frac{1}{8}[/tex]

We need to calculate the answer, so...

An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:

[tex]\frac{3}{4} *\frac{8}{1}[/tex]

8 divided by 1 is just 8 so you can simplify it:

[tex]\frac{3}{4}*8[/tex]

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

[tex]=\frac{24}{4}[/tex]

[tex]=6[/tex]

Answer:

Step-by-step explanation:

When you multiply two terms with same base, add the exponents.

Example:  x*x² = x* x*x = x³

In short, x*x² = x¹⁺² = x³

[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]

Answer:

depende de del grueso de la cometa

Step-by-step explanation:

Answer:

x= 8in

Step-by-step explanation:

area of kite = diagonal1*diagonal2/2

60. = 15 *x. /2

->x = 60*2/15=8in

Answer:

Step-by-step explanation:

solution :

       y = -17

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*y+6-(-45)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  3y + 51  =   3 • (y + 17)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    y+17 = 0

Subtract  17  from both sides of the equation :

                     y = -17

    solution was found :

                  y = -17

Answer:

60 lemons/ 15 cents=4 lemons so

4 lemons can be bought for 60 cents

82 ÷ 15 = 5.4

Mixed number form: 5 ⁷/₁₅

Answer:

the answer is 5.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

-0.75 + 0.4 + 0.4 - 0.75

-1.50 + 0.8

-0.70

"When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent."

Someone else's answer, heres the link

https://brainly.com/question/3884042

Answer:9/16

Step-by-step explanation:

Since we know it's 3/4 use

r=(3/4)²  .... [tex](\frac{3}{4} x\frac{3}{4} )[/tex] =[tex]\frac{9}{16}[/tex]

Answer:

6 out of 13 (6/13)

Step-by-step explanation:

30/65

Simplify by dividing both sides by 5

6/13

Tada!

Answer:

BE = 3.6 units

BD = 12.4 units

Step-by-step explanation:

From the picture attached,

Since DE║AC, ΔBDE and ΔABC will be similar.

In these similar triangles corresponding side will be in the same ratio.

[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]

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

[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]  

1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]

1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]

1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]

1 = [tex]BE(\frac{3+2}{48})[/tex]

BE = [tex]\frac{18}{5}[/tex]

BE = 3.6 units

Therefore, AD = BE = 3.6 units [given]

Now BD = AB - AD

              = 16 - 3.6

              = 12.4 units

Answer:

Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"

Answer:

The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

First You put The question in Order

HOPE THIS HELP

STAY SAFE:)

please see the attached picture

hope it helps

good luck on your assignment

Answer:

Answer = decrease of 22 m/min

Answer:

8 1/8

Step-by-step explanation:

2 4/8 plus 5 5/8

4/8 because it equals to 1/2

Answer:

8 1/8

Step-by-step explanation:

2 1/2+ 5 5/8

2 4/8 + 5 5/8

7 9/8

8 1/8

Answer: 2 years

Step-by-step explanation:

SI = prt / 100

200 = ( 4200 x 2.5 x t) / 100

200 = 105 t

t = 200/105 = 1.9

Answer: 9x-20

Step-by-step explanation:

The function is [tex]f(x)=3x-5[/tex], in order to obtain f(f(x)) you have to replace x in the function by the function itself:

[tex]f(f(x))=3(3x-5)-5=9x-15-5=9x-20[/tex]

Answer:

3t-21

2t²-6t

-3st-15s

9-x²

16x²-49

Step-by-step explanation:

In general

A(B+C)=AB+AC

(A+B)(D+C)=AD+AC+BD+BC

(A+B)(A-B)=A²+AB-BA-B²=A²-B²

ANSWER:

1) 3(t-7)

= 3t-21

2) 2t(t-3)

= 2t^2-6t

3) -3s(t+5)

= -3st-15s

4) (3+x)(3-x)

= 9-3x+3x-x^2

5) (4x-7)(4x+7)

= 16x^2 -28x+ 28x-49

Answer:

Area of the rectangular pyramid is 82.8m²

Step-by-step explanation:

Given

Number of rectangle = 1

Number of triangles = 4

Dimension of Rectangle = Length = 6 metres; Height = 2 metres

Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres

Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres

Required

Area of the Rectangular Pyramid

To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;

Calculating the area of the rectangle;

Area = Length * Height

Area = 6m * 2m

Area = 12m²

Calculating the area of the first two triangles;

Base = 6 metres and Height = 8.8 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 6m * 8.8m

Area = 26.4m²

Area of two triangles = 2 * 26.4m²

Area of two triangles = 52.8m²

Calculating the area of the other two triangles;

Base = 2 metres and Height = 9 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 2m * 9m

Area = 9m²

Area of two triangles = 2 * 9m²

Area of two triangles = 18m²

The area of the pyramid is the summation of the above calculations;

Area of Rectangular Pyramid = 12m² +52.8m² + 18m²

Area = 82.8m²

Hence, the area of the rectangular pyramid is 82.8m²

Answer:

82.8

Step-by-step explanation:

I just took the test

Have a good day :)

Answer: y = 27 degrees

Step-by-step explanation:

x = 90 degrees (right angle)

90 + 63 = 153

180 - 153 = 27

Answer:

The main principle of solving equations is to find the unknown value

Step-by-step explanation:

For example:

 [tex]x + 3 = 6[/tex]

     [tex]-3=-3[/tex]

       [tex]x=3[/tex]

I hope this helps

Answer:

The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.

Step-by-step explanation:

Answer:

the one with 47:is 43

the one with 52 is 38

the one with 63 is 27

and the one with 45 is 45

Step-by-step explanation:

these angles equal to 90

so you must subtract them from 90

Answer:

5: x=43

6: x=38

7: x=27

8: x=45