Seventh grade > Z.2 Scale drawings: word problems 84H
Carmen drew a scale drawing of a house and its lot. In real life, the lawn in the backyard is
72 meters long. It is 24 millimeters long in the drawing. What is the scale of the drawing?
1 millimeter :
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Answer:

x = -50 and x = 30

Step-by-step explanation:

Given equation:

[tex]\left|\dfrac{1}{5}x+2\right|-6=2[/tex]

To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:

[tex]\implies \left|\dfrac{1}{5}x+2\right|-6+6=2+6[/tex]

[tex]\implies \left|\dfrac{1}{5}x+2\right|=8[/tex]

Set the contents of the absolute value equal to both the negative and positive value of the number on the other side of the equation, then solve both equations:

Equation 1 (negative value)

[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=-8\\ &\textsf{Subtract 2 from both sides}: \quad & \dfrac{1}{5}x+2-2&=-8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=-10\\ &\textsf{Mulitply both sides by 5}: &5 \cdot \dfrac{1}{5}x&=5 \cdot-10\\&\textsf{Solution}:& x & = -50\end{aligned}[/tex]

Equation 2 (positive value)

[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=8\\ &\textsf{Subtract 2 from both sides}: \quad &\dfrac{1}{5}x+2-2&=8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=6\\ &\textsf{Mulitply both sides by 5}:&5 \cdot \dfrac{1}{5}x&=5 \cdot6\\ &\textsf{Solution}:&x & = 30\end{aligned}[/tex]

Solutions

Therefore, the solutions are:  x = -50 and x = 30.

Answer:

3.) rule of thumb

Step-by-step explanation:

Answer:

50.2

Step-by-step explanation:

Answer: x[tex]\geq[/tex]9

Step-by-step explanation:

5x+3 [tex]\geq[/tex] 48

5x[tex]\geq[/tex]45

x[tex]\geq[/tex]9

Treat inequalities like normal equations. Only when the right side of the equation is introduced to a negative sign via multiplication or division should you flip the inequality sign

Hope this helps!

Option D x+2y+10 .

A trinomial with a constant term will have three terms, and one of those terms will be a constant, which is a number.

we also know about the Constant

A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Some relatable terms are :

Monomial: Polynomial having a single term.

Binomial: Polynomial having two terms.

Trinomial: Polynomial having three terms.

In given option we'll define

in option A there is no constant .

option B there i sonly given x which is also not constant.

further in option c it is simply binomial in which only two terms are given without constant .

so at last conclusion is in option D there are three terms are given with one constant which is number 10 .

x+2y+10 is trinomial with a constant.

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Answer:

∠ GOF = 53°

Step-by-step explanation:

∠ LON and ∠ GOF are vertically opposite angles and are congruent, then

∠ GOF = 53°

Answer:

(0,-2)

Step-by-step explanation:

That point is the y intercept. (4/3,0) would be the x.

Answer:

x = 23         y = 42

Step-by-step explanation:

y + 54 + 4x - 8 = 180

y + 4x = 180 - 46

y + 4x = 134

180 - (5x - 19) = 4x - 8

180 - 5x + 19 = 4x - 8

180 + 19 + 8 = 4x + 5x

207 = 9x

207/9 = x

x = 23

y + 4(23) = 134

y = 134 - 92

y = 42

Answer:

t = 20

Step-by-step explanation:

add 3 to both sides to isolate t:

t = 17 + 3

t = 20

Answer: t= 20

Step-by-step explanation:

Answer:

Density=13g/45cm cubed

Step-by-step explanation:

D=M/V

D=65g/225cmcubed

D=13g/45cm cubed

Step-by-step explanation:

work is shown and pictured

Answer:

None

Step-by-step explanation:

[tex]3b+4-3b=10+3b-3b\\4=10\\\sf Sides\:unbalanced.[/tex]

Answer:

5x - 20y

Step-by-step explanation:

4(2x - 5y) - 3x ← multiply each term in the parenthesis by 4

= 8x - 20y - 3x ← collect like terms

= 8x - 3x - 20y

= 5x - 20y

Answer:

5x - 20y

Step-by-step explanation:

Hello!

Distribute the terms outside of the parenthesis to the terms inside.

The simplified expression is 5x - 20y.

Initial estimates of the probabilities of events are known as Prior Probabilities.

Prior Probabilities can be defined as the probability of the event before the event takes place.

For Example ,Let there be three wells X,Y,Z with water in it . it is given that one of the wells have the water that is fit for drinking. So the prior probability that Well Z can have drinking water is 1/3 i.e. 0.333  .

Therefore , the Initial estimates of the probabilities of events are known as Prior Probabilities.

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The fraction is $[tex]\frac{421}{99}[/tex] and the mixed fraction is $4 [tex]\frac{25}{99}[/tex]

The cost of manufacturing computer components is $4.25252525

To find the repeating decimal; cost as a fraction

Since we have two digits repeating decimal place, we multiply 100 and shift two digits

⇒$4.252525×100=$425.252525{using operation multiplication}

Now subtract the original number from this

⇒$425.252525-$4.252525=$421.00000 {using operation subtraction}

Now,

100×(fraction)-(fraction)=$421.00000 {using operation subtraction}

99(fraction)=$421.00000{ using operation division}

The Fraction=$[tex]\frac{421}{99}[/tex]

The mixed fraction is $4 [tex]\frac{25}{99}[/tex]

Therefore, The fraction is $[tex]\frac{421}{99}[/tex] , and the mixed fraction is $4 [tex]\frac{25}{99}[/tex]

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Answer:

24:40

Step-by-step explanation:

3:5

This means there are 8 divisions altogether - 8 parts to be split (3+5=8)

64 / 8 = 8

8x3 = 24

8x5 = 40

£24:£40

Hope this makes sense!

Apply the definition of linear pair, the measure of angle 1 is calculated as: 33°.

If two angles are a linear pair, then, the sum of their angle measures equal 180 degrees.

We are given that angle 1 and angle 2 are a linear pair. This means that:

Measure of angle 1 + measure of angle 2 = 180

Measure of angle 1 = x

Measure of angle 2 = 5x - 18

Substitute

x + 5x - 18 = 180

6x - 18 = 180

6x = 180 + 18

6x = 198

6x/6 = 198/6

x = 33

Measure of angle 1 = x = 33°.

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Answer:

find the inverse of the following function. The Domain and Range of inverse

a) f(×)=× b) f(×)=׳-4

This shows that a reasonable domain for this function is [0, 16)

The domain of a function is a value of the independent variable of the function for which it exists.

Given the equation below:

M(x) = −30x + 480

Since the function represents the The amount of money remaining in the budget for marketing  then the function f(x) must be greater than zero;

−30x + 480 > 0

-30x> -480
x < 480/30
x < 16

This shows that a reasonable domain for this function is [0, 16)

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Answer:

6

Step-by-step explanation:

Solving steps

29v+23

Move the terms

- v =23 -29

Calculate

-V=-6

Change the signs

Solution

V = 6

Answer: 6

Step-by-step explanation: the guy above me has the best expanation

The total length of red and blue ribbons is 10.2 m.

Given that, the length of the red ribbon =2.4 m and the length of the blue ribbon =7.8 m.

Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.

Now, the length of the red ribbon + the length of the blue ribbon=2.4+7.8

=10.2 m

Therefore, the total length of red and blue ribbons is 10.2 m.

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Answer:

Hey there!

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me!

Answer: So after solving and simplifying terms equation is[tex]x^4+10x^3-47x^2-360x+1296[/tex]

Step-by-step explanation: Given we have two equations f(x) =[tex]x^{2} +4x-32[/tex] and g(x) = [tex]x-4[/tex]

we have been asked to find ( f +g)(x) that is f(x)+g(x)

So first we add them [tex]x^{2} +4x-32 + x-4[/tex]

So we have an equation that is: [tex]x^{2} +5x-36[/tex]

Then we need to multiply both

[tex](x^2+5x-36)(x^2+5x-36)[/tex]

So we get[tex]\left(x^2+5x-36\right)^2[/tex]

Distribute parentheses

[tex]x^2x^2+x^2\cdot \:5x+x^2\left(-36\right)+5xx^2+5x\cdot \:5x+5x\left(-36\right)-36x^2-36\cdot \:5x-36\left(-36\right)[/tex]

On simplifying

[tex]x^4+10x^3-47x^2-360x+1296[/tex]

So standard form of result is [tex]x^4+10x^3-47x^2-360x+1296[/tex] .

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In probability  31, more votes does Uma receive than Paloma .

In statistics, what does a probability mean?

let uma u and paloma p  votes

Uma = 4/7 = u/217

           4 × 217 / 7 =  u

             u = 124

paloma  = 3/7 = p/217

               3 × 217 /7 = p

               p = 93

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After simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).

We are given the expression as:

2 cos (3 x) sin (3 x)

Now, we know the trigonometric identity as:

2 sin θ cos θ = 2 sin (2 θ)

Using this identity in the expression where θ = 3 x, we get that:

2 cos (3 x) sin (3 x) = sin ( 2 × 3 x) ( value of θ substituted in the expression)

2 cos (3 x) sin (3 x) = sin (6 x)

Therefore, after simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).

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The total area of the shape is 102 cm².

Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.

We know that, the area of a rectangle = Length × Breadth.

So, the area of rectangle1 = 15 × 6 = 90 cm²

The area of rectangle2 = 4 × 3 = 12 cm²

Total area = 90+12 =102 cm²

Therefore, the total area of the shape is 102 cm².

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In order to transform linear regression into polynomial regression, certain polynomial terms are added to it due to the non-linear relationship between the dependent and independent variables.

Let's say we have independent data X and dependent data Y. In the preprocessing stage, we turn the input variables into polynomial terms to some extent before feeding the data to a mode.

As a specific example of multiple linear regression, polynomial regression is a type of linear regression that estimates the connection as an nth degree polynomial. The performance can also be negatively impacted by the existence of one or two outliers since Polynomial Regression is sensitive to outliers.

The connection between the dependent and independent variables is best approximated by polynomial. It may be used for a wide range of functions. In general, polynomial suits a large range of curvature.

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Answer:

Step-by-step explanation:

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