Simplify: 3(a+b)-2(2a-b)+4a-7a ​

Answer:

1:3

Step-by-step explanation:

4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.

Answer: The ratio of light blue triangles to dark blue triangles is  

✔ 3 to 1

.

For every 1 dark blue triangle, there  

✔ are 3 light blue triangles

.

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Answer:

E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Step-by-step explanation:

The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Currency in Europe is Euro

Apple have weight

Volume of apple is measured in kilogram

For instance, if the person is buying 10 kilograms of apples for 20 Euro.

Then the price per kilogram = 20/10

=2 Euro per kilogram

Answer:

x = 2

Step-by-step explanation:

Solve for x:

5 (3 - x) - 2 (4 - 3 x) = 11 - 2 (x - 1)

5 (3 - x) = 15 - 5 x:

15 - 5 x - 2 (4 - 3 x) = 11 - 2 (x - 1)

-2 (4 - 3 x) = 6 x - 8:

6 x - 8 - 5 x + 15 = 11 - 2 (x - 1)

Grouping like terms, 6 x - 5 x - 8 + 15 = (-5 x + 6 x) + (15 - 8):

(-5 x + 6 x) + (15 - 8) = 11 - 2 (x - 1)

6 x - 5 x = x:

x + (15 - 8) = 11 - 2 (x - 1)

15 - 8 = 7:

x + 7 = 11 - 2 (x - 1)

-2 (x - 1) = 2 - 2 x:

x + 7 = 2 - 2 x + 11

Grouping like terms, -2 x + 2 + 11 = (11 + 2) - 2 x:

x + 7 = (11 + 2) - 2 x

11 + 2 = 13:

x + 7 = 13 - 2 x

Add 2 x to both sides:

2 x + x + 7 = (2 x - 2 x) + 13

2 x - 2 x = 0:

2 x + x + 7 = 13

Grouping like terms, 2 x + x + 7 = (x + 2 x) + 7:

(x + 2 x) + 7 = 13

x + 2 x = 3 x:

3 x + 7 = 13

Subtract 7 from both sides:

3 x + (7 - 7) = 13 - 7

7 - 7 = 0:

3 x = 13 - 7

13 - 7 = 6:

3 x = 6

Divide both sides of 3 x = 6 by 3:

(3 x)/3 = 6/3

3/3 = 1:

x = 6/3

The gcd of 6 and 3 is 3, so 6/3 = (3×2)/(3×1) = 3/3×2 = 2:

Answer: x = 2

plz see the attachment

Answer:

d=√ 82=9.1

Step-by-step explanation:

Answer: x = 4 / 2y-z

Step-by-step explanation: Move all of your terms to the left and then set your equal as 0. Then, set each of your factors equal to 0, as well.

I hope this helps you out.

Answer:

1 + sin2x

Step-by-step explanation:

Given

(sinx + cosx)² ← expand using FOIL

= sin²x + 2sinxcosx + cos²x

[ sin²x + cos²x = 1 and sin2x = 2sinxcosx ]

= 1 + sin2x

Answer:

[tex]1 + 2 \times \sin(x ) \times \cos(x) [/tex]

Step-by-step explanation:

[tex]( \sin(x) + \cos(x) \: )^{2} [/tex]

By expanding it , we get

[tex] { \sin }^{2} x \: + { \cos }^{2} x \: + \: 2 \times \sin(x) \times \cos(x) [/tex]

we know that

[tex] { \sin}^{2} x + { \cos }^{2} x = 1[/tex]

so,

[tex] { \sin }^{2} x + { \cos}^{2} x + 2 \times \sin(x) \times \cos(x) = 1 + 2 \times \sin(x) \times \cos(x)[/tex]

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{2-y}{4+y} + \frac{3(y+2)}{y}[/tex], we are to look for the value of the expression when y = 2. To do that we are going to substitute y as 2 into the given expression and simplify the resulting expression as shown.

[tex]f(y) = \frac{2-y}{4+y} + \frac{3(y+2)}{y}\\\\if \ y = 2;\\\\f(2) = \frac{2-2}{4+2} + \frac{3(2+2)}{2}\\\\f(2) = \frac{0}{6} + \frac{3(4)}{2}\\\\\\f(2) =0 + \frac{12}{2}\\\\\\f(2) = 6[/tex]

Hence the value of the expression when y = 2 is 6

Answer:

The answer is 6

How you get this answer is by plugging in the number 2 in as y and following the order of operations.

Answer:

The side length of the square region is about 181,166 kilometres.

Step-by-step explanation:

population density = no. of people / area of region

given

population = 200,000

population density = 1650 people per square kilometers

1650 = 200,000/area of region

=> area of region = 1650*200,000 = 330,000,000

given that region is square in shape

area of square = side^2

side^2 =  330,000,000

side = [tex]\sqrt{ 330,000,000} = 181165,90[/tex]

The side length of the square region is about 181,166 kilometres.

Answer:

x = 11

m<TGH = 82

Step-by-step explanation:

m<TGH + m<FGT = m<FGH

6x + 16 + 42 = 11x + 3

6x + 58 = 11x + 3

-5x = -55

x = 11

m<TGH = 6x + 16 = 6(11) + 16 = 82

Answer:

[tex]b\leq -\frac{19}{14}[/tex]

Step-by-step explanation:

First, write out the equation as you have been given it:

[tex]8-14b\geq 27[/tex]

Now, subtract 8 from both sides:

[tex]8-8-14b\geq 27-8\\-14b\geq 19[/tex]

Now, divide both sides by -14 and flip the inequality sign since we are dividing by a negative:

[tex]\frac{-14b}{-14} \geq \frac{19}{-14}\\b\leq -\frac{19}{14}[/tex]

The highest solution to the inequality is -19/14, and any number lower will also work.

Answer:

Volume of a rectangular prism = x^3 - 4x^2

Step-by-step explanation:

V = L*W*H

Where,

V= Volume of a rectangular prism

L= Length

W= Width

H= height

Volume of a rectangular prism= Length × Width × Height

Let

length of the box = x

width = length

Width = x

Height= x - 4

Volume of a rectangular prism= Length × Width × Height

= x * x * (x - 4)

= x^2 * (x - 4)

= x^3 - 4x^2

Volume of a rectangular prism = x^3 - 4x^2

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.

The x and y values of its coordinates become the negatives of the original values.

The rule is

(x,y) ⟶ (-x,-y)

If the coordinates of A are (-5,1),

The coordinates of A' are (5,-1).

The figure below shows the graph or your rectangle and its rotated image.

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

just took the FLVS test and got a 100% :)

Answer:

C.

Step-by-step explanation:

The sum of two sides have to be greater than than the third (Triangle Inequality Theorem). 24 is equal to 24, not greater.

Answer:

C. 24m cannot be the length of the third side

Step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

a = 12,  b = 12

c < a + b

c < 24

therefore based on the choices...

C. 24m cannot be the length of the third side.

Answer:

See below.

Step-by-step explanation:

1)

So we have the equation:

[tex]2x+3y=1470[/tex]

To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:

[tex](2x+3y)-2x=(1470)-2x[/tex]

The left side cancels:

[tex]3y=1470-2x[/tex]

Now, divide both sides by 3. The left side cancels:

[tex](3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490[/tex]

The slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

Thus, the slope is -2/3 and the y-intercept is 490.

2)

So, since we already know the y-intercept is 490, plot a point at (0,490).

The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move down 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.

3)

To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.

[tex]y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490[/tex]

This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.

For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.

4)

Please refer to the attached graph.

5)

First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.

Answer:

Hey mate,these answers has been excluded from the NCERT syllabus.

Thank you

I've answered as fast as I can to answer your question.Hope you understood it.

Pls mark my answer as brainliest and follow me.

Answer:

A (0, 0).

Step-by-step explanation:

y = x

y = -x

Therefore x = -x.

x + x = 0

x = 0

and y = x = 0.

Answer:

Which ordered pair is a solution to the following linear system?

y = x

y = –x

(1, 1)

(0, 1)

(1, 0)

Correct Answer

(0, 0)

Step-by-step explanation:

just did this on a test.

Answer:

9.24 m

Step-by-step explanation:

Dimensions of the scale model:

Dimensions of the real bus:

The ratio is:

Then:

The length of the bus is 9.24 m

Answer:

P=25 q= -31

Step-by-step explanati

The value of p and q​ are 32 and 24. The relationship will be as p/q = 8/6.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5.

Make p the subject

p = 8q/6 ........equation 1

The year the price was reduced by 4

p - 4/q - 4 = 7/5

Cross multiplication;

5(p-4) = 7(q-4)

5p-20 = 7q-28

5p - 7q = -8 .......equation 2

Subtract 8q/6 for p in equation 1

5(8q/6) - 7q = -8

Multiply through by 6

40q - 42q = -48

-2q = -48

q = 24

Subtract 24 for q in equation 1

p = 8(24)/6

p = 192/6

p = 32

Therefore, the value of p and q​ are 32 and 24. The relationship will be as p/q = 8/6.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ5

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}= a^{m+n}\\\\\\(-3)^{5}*(-3)^{2}=(-3)^{5+2}=(-3)^{7}[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{(-3)^7}}[/tex]

Step-by-step explanation:

[tex](-3)^5 \times (-3)^2[/tex]

When bases are same for exponents in multiplication, the exponents are added.

[tex]a^b \times a^c=a^{b+c}[/tex]

[tex](-3)^{5+2}[/tex]

Add the exponents.

[tex](-3)^7[/tex]

Answer:

The age of brothers are 4 years and 2 years respectively.

Step-by-step explanation:

We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.

Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.

So, according to the question;

                                      [tex]\frac{x}{y} =\frac{2}{1}[/tex]  

                                      [tex]x=2y[/tex]  -------------- [equation 1]

                                       [tex]\frac{x+4}{y+4}=\frac{8}{6}[/tex]

                               [tex]6({x+4})=8}(y+4)[/tex]

                               [tex]6x+24=8y+32[/tex]

                               [tex]6(2y)+24=8y+32[/tex]

                               [tex]12y-8y=32-24[/tex]

                                    [tex]4y=8[/tex]

                                     [tex]y=\frac{8}{4}[/tex] = 2 years

Putting the value of y in equation 1 we get;

                                     x = 2y

                                      x = [tex]2 \times 2[/tex] = 4 years

Hence, the age of brothers are 4 years and 2 years respectively.

4-c=-1/3

3[4-c]= -1

12-3c= -1

12+1=3c

13=3c

c=13/3

c=4 1/3

Answer:

70 DDegrees

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

Since the angle opens from the right, we need to measure from the right. Reading the protractor from the right, we can see that the angle measures 70 degrees.

Answer:

B?

Step-by-step explanation:

2 are colored left to right, and 5 down

2/3 of the chart is taken up

Answer:

Hey there!

The correct answer would be C (Third one from the left).

The width is 2/5 (two out of five) and the length is 2/3 (two out of three)

Let me know if this helps :)

Answer:

F' = (-6,3)

Distance = 12 units

Step-by-step explanation:

F is currently at (6,3).

Reflected over the y-axis, it would be at (-6,3).

That puts them 12 units apart.

Answer:

Step-by-step explanation:

the product of 3 and n in mathematics is 3n or 3 times n The product of a number and three" should be  3n

where n is the number.

IN the answer of the question you would have to explain something like this:

Let n be the number. The product then is  3n

The reason for this is that you could also let n stand for the number, in which case the answer would be 3n

.