what is the other side of 1/2(6x-10)-x so that it is true for all values of x

Answer:

3)  48 units²

6)  46 units²

Step-by-step explanation:

Question 3

This shape is a parallelogram with base of 8 units and height of 6 units.

Area of a parallelogram = base × height

                                        = 8 × 6

                                        = 48 units²

Question 6

This shape is a quadrilateral.  It is made up of 3 triangles and a rectangle (see attached image for how to divide the quadrilateral)

Area of rectangle = width × length

                              = 4 × 6

                              = 24 units²

Area of a triangle = 1/2 × base × height

Triangle 1:   1/2 × 2 × 4 = 4 units²

Triangle 2:   1/2 × 6 × 2 = 6 units²

Triangle 3:   1/2 × 4 × 6 = 12 units²

Total area = 24 + 4 + 6 + 12 = 46 units²

Answer:

(x-2)2=8

Step-by-step explanation:

Answer:

7. uses like or as to compare two things

8. personification - in this case, the tropical storm is being given the human quality of sleeping

Hope this helps!

Answer:

he mask 925.5 dollars every week

Answer:

 $1295.70 a week

4 weeks

???

Step-by-step explanation:

hope this helps

Answer:

Hello

Step-by-step explanation:

The answer would be 165

Hope this helps

Answer:

-5 > x

Explanation:

To do this, you have to use the inverse operations. Subtract 6 from each side. That equals -5. Bring everything down and that is your answer!

Using Distance formula ,

[tex]\bold{d(AB) = \sqrt{ (x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } }\\ \\\bold{5 = \sqrt{(5 - 1) {}^{2} + (2 - y) {}^{2} }} \\ \\\bold\blue{ squaring \: both \: sides\:,} \\ \\\bold{ 25 = (5 - 1) {}^{2} + (2 - y) {}^{2} }\\ \\\bold{ 25 = (4) {}^{2} + (4 + y {}^{2} - 4y)}\\ \\ \bold{25 = 16 + y {}^{2} - 4y + 4}\\ \\ \bold{25 = y {}^{2} - 4y + 20}\\ \\\bold{ y {}^{2} - 4y - 5 = 0}\\ \\\bold{ y {}^{2} - 5y + y - 5 = 0} \\\\\bold{ y(y - 5) + 1(y - 5) = 0}\\ \\\bold{ (y + 1)(y - 5) = 0 }\\\\\bold{ y = - 1 \: or \: y = + 5}[/tex]

therefore ,

possible coordinates of A are either ( 1 , -1 ) or ( 1 , 5 )

hope helpful~

Answer: y-4=1.2(x-5)

Step-by-step explanation:

Answer:

x < 6

Step-by-step explanation:

Step 1: Subtract 12 from both sides.

Thus, the answer is x < 6.

Answer:

x=11

Step-by-step explanation:

Subtract 3 from both sides

x+3=2x-8

x+3-3 =2x-8-3

Then simplify it

x=2x-11

Again, subtract 3 from both sides

x-2x=2x-11-2x

Simplify

-x=-11

Divide both sides and simplify and then you get x=11

Answer:

2y = 8

Step-by-step explanation:

an equation contains an = symbol.

the others are inequalities.

also, from looking at the question, you can assume that it is 2y = 8 because the other to are the same type of inequality

Answer:

yes

Step-by-step explanation:

as you can see if you count them they are

Answer:

The shape on the very left of the picture is not a quadrilateral. However, the three other shapes are quadrilaterals.

Step-by-step explanation:

A shape is a quadrilateral if it has four sides and four angles. The shape on the left has five sides and five angles, therefore, not a quadrilateral.

Answer: 245 degrees

Step-by-step explanation:

Step-by-step explanation:

AC+CB+BA=180

2x+23+3x-8+4x+1=180

9x+16=180

9x=180-16

9x=164

x=164/9

x=18.2

Answer:

329.9 ft^2

Step-by-step explanation:

area = π · r^2

diameter = 2r so radius = 10.25

area = 3.14 · 10.25^2

10.25^2 = 105.06

3.14 · 105.06 = 329.9 ft^2

Given :-

[tex] \\ \\ [/tex]

To find :-

[tex] \\ \\ [/tex]

Solution:

To find area first we should know value of radius.

Diameter is given , and from diameter we can find value of radius.

[tex] \\ [/tex]

We know :-

[tex] \bf \ddag\boxed{\rm Diameter =2 \: radius } \bf \ddag[/tex]

By using this formula we can find radius.

[tex] \\ \\ [/tex]

[tex] \hookrightarrow\sf Diameter =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf 20.5 =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \dfrac{205}{10} =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \cancel\dfrac{205}{10} =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \dfrac{41}{2} =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf2 \: radius = \dfrac{41}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \: radius = \dfrac{41}{2 \times 2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \: radius = \dfrac{41}{4} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\bf \: radius = 10.25[/tex]

[tex] \\ \\ [/tex]

Now let's find Area

we know :-

[tex] \bf \ddag\boxed{\rm Area = \pi radius {}^{2} } \bf \ddag[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \\ [/tex]

[tex] \dashrightarrow \sf Area = \pi radius {}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf Area = \pi (10.5) {}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf Area = \pi \times 10.5 \times 10.5 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf Area = \pi \times 110.25 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf Area = 3.14 \times 110.25 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \bf Area =346.19~ {ft}^{2} \{approx\}\\[/tex]

The probability of selecting one student who is both from math and science is 1/10

There are the total number of student = 300

Out of which,the number of students who are only in Maths  = 120

The number of students who are only in Science  = 50 and  the students who are not from any subject = 100

Total no of students=science student+math students +none

Therefore,the number of student who are from both math and science = Total student - Math student (only) - science student (only) - None

= 300 - 120 - 50 - 100

= 30

That is, there are 30 students who are both from science and math,

Thus, the probability of selecting one student who is both from math and science = 30/300 = 1/10

To learn more about the probability visit:

https://brainly.com/question/24756209

Given :

[tex]\: {\qquad \sf \dfrac{4}{6} x + \dfrac{10}{4} = - \dfrac{6}{8}x - 10 }[/tex]

⠀

To Find :

⠀

Solution :

[tex] {\qquad \sf \dashrightarrow \: \dfrac{4}{6} x + \dfrac{10}{4} = - \dfrac{6}{8}x - 10 }[/tex]

⠀

Subtracting [tex] \sf \: \dfrac{10}{4} [/tex] from both sides :

[tex] {\qquad \sf \dashrightarrow \: \dfrac{4}{6} x \: \: \cancel{+ \dfrac{10}{4}} \: \: \cancel{- \dfrac{10}{4}} = - \dfrac{6}{8}x - 10 - \dfrac{10}{4} }[/tex]

⠀

Adding [tex] \sf \dfrac{6}{8} x[/tex] to both sides :

[tex]{\qquad \sf \dashrightarrow \: \dfrac{4}{6} x + \dfrac{6}{8}x = \cancel{- \dfrac{6}{8}x } \: \: \cancel {+ \: \dfrac{6}{8}x} - 10 - \dfrac{10}{4} }[/tex]

[tex]{\qquad \sf \dashrightarrow \dfrac{4}{6} x + \dfrac{6}{8}x = - 10 - \dfrac{10}{4}}[/tex]

⠀

Adding the like terms :

[tex]{\qquad \sf \dashrightarrow \dfrac{32x + 36x}{24} = \dfrac{ - 40 - 10}{4} }[/tex]

[tex]{\qquad \sf \dashrightarrow \dfrac{68x}{24} = \dfrac{ - 50}{4} }[/tex]

[tex]{\qquad \sf \dashrightarrow \dfrac{34x}{12} = \dfrac{ - 25}{2} }[/tex]

⠀

By doing cross multiplication we get :

[tex]{\qquad \sf \dashrightarrow {68x} = - 300 }[/tex]

[tex]{\qquad \sf \dashrightarrow {x} = \dfrac{ - 300}{68} }[/tex]

[tex]{\qquad \bf \dashrightarrow {x} = \dfrac{ - 75}{17} }[/tex]

Answer:

[tex]\frac{15}{16}[/tex] ton of pebbles will cover the whole garden.

Step-by-step explanation:

So [tex]\frac{3}{4}[/tex] ton covers [tex]\frac{4}{5}[/tex] of the garden.

Let x be pebbles required to cover the entire garden, we can set up a proportion:

[tex]\frac{\frac{3}{4} }{\frac{4}{5} } =\frac{x}{1}[/tex]

[tex]\frac{3}{4}[/tex] / [tex]\frac{4}{5}[/tex]  = x

[tex]\frac{3}{4}[/tex] * [tex]\frac{5}{4}[/tex] = x

[tex]\frac{15}{16}[/tex] = x

[tex]\frac{15}{16}[/tex] ton of pebbles will cover the whole garden.

Answer:

1224

Step-by-step explanation:

group of 2 friends each receive 612

so you do 612 x 2 = 1224

Answer:

5 boxes

Step-by-step explanation:

Divide 15 by 3 and you'll get your answer

Hope that helps!

Step-by-step explanation:

1 = $3

x = $15

crossmultiply

3x = 15

x = 15/3

x = 5 boxes of cereal

if this helped pls give brainliest

Answer:

0=10

0= -5

Step-by-step explanation:

[tex]1. - 10 = - 14x + 14x[/tex]

cancel (-14) with (+14)

[tex] - 10 = 0[/tex]

so , The above equation has no solution .

[tex](ii) \: 3(3 - x) + 5x = 2(x + 2) \\ \\ 9 - 3x + 5x = 2x + 4 \\ \\ 9 + 2x = 2x + 4 \\ \\ 2x - 2x = 4 - 9 \\ \\ 0 = - 5.[/tex]

The above equation has no solution .

Answer:

-4

Step-by-step explanation:

The total number of books that are in Francisca's bookcase is 125 books.

Let the total number of books be B.

Given the following data:

Number of paperbacks = 40.

Percentage = 32%.

In this exercise, you're required to determine the total number of books that are in Francisca's bookcase if there she has 40 paperbacks in her bookcase. Thus, we would write a mathematical expression for the word problem.

Translating the word problem into an algebraic expression, we have;

[tex]\frac{32}{100} \times T=40\\\\0.32T=40\\\\T=\frac{40}{0.32}[/tex]

T = 125 books.

Read more on word problems here: brainly.com/question/13170908

DOLLARS             CENTS             DOLLARS                         CENTS

The solution is, SA =36π unit² is the surface area of the sphere which is correct answer Option(A).

We know that, The formula for the surface area of a sphere of radius

R is 4πR².

here, we have,

According to question, we have the radius of sphere as 3 units.

So, surface area of a sphere

⇒4πR²

⇒4π(3)²

⇒36π

The surface area of a sphere is given by

SA = 4 pi r^2

SA = 4 * pi * 3^2

SA =36 pi

SA =113.10

Hence, the surface area of the sphere is 36π unit².

Learn more about  surface area of a sphere here:

brainly.com/question/14692728

#SPJ7

y=30 x=60 that should be the answer sorry if it isnt