3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?

Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

[tex]Scale = 5\ inches : 8\ feet[/tex]

Represent the width of the actual gym with w, so, we have the following equivalent ratio

[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]

Cancel out the common units

[tex]45: w = 5: 8\ feet[/tex]

Express as fraction

[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]

Cross multiply

[tex]5w = 45 \times 8\ feet[/tex]

Divide both sides by 5

[tex]w = 9\times 8\ feet[/tex]

[tex]w = 72\ feet[/tex]

Hence, the width of the actual gym is 72 feet

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If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10

The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For the line passing through points (5, 6) and (10, y)

[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]

The slope, m = 4/5

Substitute these value into the slope formula and solve for y

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]

Cross  multiply:

4(5)  =  5(y-6)

4   =  y  -  6

Collect like terms

y  =  4  +  6

y  =  10

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6)  [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{5}{8} \\[/tex] = [tex]\frac{9}{4} . \frac{8}{5} = \frac{9.4.2}{4.5} =\frac{18}{5}[/tex]

7)  [tex]2\frac{1}{2}[/tex] ÷ [tex]4\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{9}{2}[/tex] = [tex]\frac{5}{2} .\frac{2}{9}=\frac{5.2}{2.9} =\frac{5}{9}[/tex]

ok done. Thank to me :>

Answer:

Both sides are equal so there are infinitely many  solutions.

Step-by-step explanation:

3 different solutions

when one number crosses the equality sign , the sign always changes

Answer: We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.

Step-by-step explanation:

Let us solve for our 1st inequality.

2x + 9 - 9 < 0 - 9

2x< -9

2x/2 < -9/2

X< -4.5

Upon combining our both inequalities, we will get:

-12 < x < -4.5

This means that solution of our inequalities is x values greater than -12 and less than -4.5

We know that integers between and are: -11, -10, -9, -8, 7, -6,-5.

Therefore, our solution would be X= {-11,-10,-9,-8,7,-6,-5}

Answer:

2. 0.5x + 5

Step-by-step explanation:

5 + 0.5x

Answer:

-1/2

Step-by-step explanation:

It is negative because of the direction the line.

It is one half because it rises one and runs two.

I hope this helps!

Answer:

The slope is -1/2

The slope intercept is 2

The form is y = 2 - 1/2x

Answer:

37 cents.

Step-by-step explanation:

Two lightbulbs sell for 73¢, meaning one lightbulb sells for 36.5¢ (73/2), or "unit price" (the price for one of something). Rounded to nearest cent at 37¢.

Answer:

3x - 24 = 81

3x = 81 + 24

3x = 105

x = 105 / 3

x = 35

Step-by-step explanation:

Answer:

Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.

Step-by-step explanation:

Answer:

The sun is about 390 times farther than earth is from the moon

Step-by-step explanation:

It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.

Answer:

Option D

Step-by-step explanation:

Since we know that if the number is negative then the smaller the number is greater. Ex :-

-7 > -10

So,

Arranging the given altitude in descending order

-396 > -430 > -452 > -502

Hence,

The highest altitude is of garden eel. Then of great white shark. Afterward the altitude of sea urchin. At last the lowest altitude is of sea turtle

Answer:

Hope it will help you a lot.

Answer: 1 1/2

Step-by-step explanation:

Step One: 3 / 2 = 1.5000 = 1

Step Two: 3 - (2 x 1) = 1

Step Three: 1 1/2

Please mark me branliest

- 30 - 2³ × 3

= - 30 - 8 × 3

= - 30 - 24

= - 54

Follow the order of PEMDAS.

P =》Parenthesis

E =》Exponents

M =》Multiplication

D =》Division

A =》Addition

S =》Subtraction

____

Hope it helps ⚜

Answer:

A = 3

B = -5

C = 1

C = -6

Step-by-step explanation:

Factors of 30:

10  3

15  2

5  6

Using positives or negatives of these numbers you need to find two that'll satisfy the equation

A is known to be 3 and C is known to be 1 because the factors of 3 are only 1 and 3.

After some trial and error we end up with

(3x-5)(x-6)

We know this will work because hen you multiply it out you get

3x^2-18x-5x+30

simplify

3x^2 -23x + 30

And this is the original equation

Answer:

........................

Answer:

I dont know your answer

Step-by-step explanation:

Because i dont

The answer would be 23.07/3 = 23 is $7.69

Answer:

20,853

Step-by-step explanation:

me right always right

Answer:

20,853

Step-by-step explanation:

To find the product of something you must multiply. 2317x9=20853, which can be found using a calculator

The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

Recall:

The slopes given shows are:

-1/2, 3/2, -1/2, and 3/2

This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.

Learn more about parallelogram on:

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Answer:

  P

Step-by-step explanation:

The SI prefixes nano- and pico- stand for ...

  nano- = 10^-9

  pico- = 10^-12

2500 picometers is 2500·10^-12 = 2.5·10^-9 = 2.5 nanometers.

25 nanometers is greater than 2.5 nanometers, so is the greater length. Organism P has the greater length.

Answer:

-4.84

Step-by-step explanation:

the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater

Answer:

-4.84

Step-by-step explanation:

Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers

Answer:

[tex]\sqrt[3]{x}[/tex]

[tex]x^3[/tex]

is

Step-by-step explanation:

Answer:

5n+2m+3600nm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sf \left(-7c+8d\right)\cdot \:0.6[/tex]

[tex]\sf 0.6\left(-7c+8d\right)[/tex]

Apply distributive property

[tex]\sf 0.6\left(-7c\right)+0.6\times \:8d[/tex]

[tex]\sf -4.2c+4.8d[/tex]

Have a good day!

Answer:

  C

Step-by-step explanation:

The first step in solving a problem is to understand what you are given. Here, all of the tables have the same set of equally-spaced x-values. That means a linear relationship can be identified by looking for constant differences in the f(x) values.

Only the f(x) values in Table C have constant differences (all are 2).

Table C represents a linear function. f(x) = 2x -1

Answer:

y-3=0(x+4)

Step-by-step explanation:

[tex]\text{Given that,}\\\\(x_1,y_1) =(-4,3) ~\text{and}~ (x_2,y_2)= (4,3)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{3-3}{4+4} = \dfrac 08 = 0\\\\\\\text{Point - slope form,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 0(x +4)[/tex]

Answer:

a. (2,1)

b. (0,2)

c. (4,0)

Step-by-step explanation:

2x+ 4y = 8 /2

x + 2y = 4

x = 4 - 2y and y = (4 - x)/2

a. x = 2 => y = 1

b. x = 0 => y = 2

c. y = 0 => x = 4

Answer:

  B. II only . . . (-1, 4)

Step-by-step explanation:

The function factors as ...

  f(x) = (x +1)(x -4)

The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...

  (-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)