In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?

Answer:

x=8

Step-by-step explanation:

4(2x-5) = 5x + 4

First, use distributive property for the first part of the equation:

8x - 20 = 5x + 4  

Then, move everything to the left of the equation:

Remember, when you move something over an equals sign, the sign in front of the number changes.

8x - 20 - 5x - 4 = 0

Then, combine the like terms:

3x - 24 = 0

Move the -24 to the other side of the equation:

3x = 24

Finally, divide both sides by 3 to isolate the x.

3x/3 = 24/3

3 cancels out on the first half.

x = 24/3

x = 8

Hope this helps! Have a great day!

Answer:

x=8

Step-by-step explanation:

Step 1.

4(2x-5)=5x+4

8x-20=5x+4

Step 2.

Add 20 to both sides

8x-20=5x+4

8x-20+20=5x+4+20

Step 3.

Simplify add the numbers

8x=5x+24

Step 4.

Subtract 5x from both sides of the equation

8x=5x+24

8x-5x=5x+24-5x

Step 5

Simplify

combine like terms

3x=24

Step 6

Divide both sides of the equation by the same term

3x=24 3x/3=24/3

Step 7

Simplify

Cancel terms that are in both the numerator and denominator

divide the numbers

x=8

Answer:

a - 4/11

b - 11/30

c - 9/25

Step-by-step explanation:

have a lovely day <3

Answer:

a b c

Step-by-step explanation:

hope it helps

it tells you the answer..

The product of matries [tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right][/tex]  and [tex]\left[\begin{array}{c}-1\\-1\end{array}\right][/tex]is option c. [tex]\left[\begin{array}{c}-3\\4\end{array}\right].[/tex] By perform matrix multiplication of 2x2 matrix with 2x1 matrix.

Given the matrices:

[tex]A = \left[\begin{array}{cc}5&-2\\-6&5\end{array}\right][/tex]

[tex]B = \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]

To find the product, perform matrix multiplication.

Using the given matrices, the multiplication can be done as follows:

[tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right] \times \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]

Multiply each element in the corresponding row of the first matrix by the corresponding column of the second matrix and summing the products.

[tex]=\left[\begin{array}{cc}(5\times-1)+(-2\times-1)\\(-6\times-1)+(2\times-1)\end{array}\right][/tex]

On multiplying the term in brackets gives:

[tex]=\left[\begin{array}{cc}-5+2\\6-2\end{array}\right][/tex]

On performing the algebraic sum gives:

[tex]=\left[\begin{array}{cc}-3\\4\end{array}\right][/tex]

Therefore, the product of the matrices is [tex]\left[\begin{array}{cc}-3\\4\end{array}\right].[/tex]

Matrix multiplication is an important operation in linear algebra and has applications in various fields, including physics, computer science, and engineering.

It allows us to perform transformations, solve systems of equations, and represent linear relationships between variables.

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Answer:

10

Explanation:

130 divided by 13 equals 10

10 times 13 equals 130

Answer:

7(2x - 3y)

Step-by-step explanation:

Take out what they both have, put it on the outside.

Put the rest on the inside.

Answer:

7 (2 x - 3y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 3 cans cost 90 cents

3=0.90 & x=2.7

by ratio:

3/0.9 = x/2.7

0.9x=8.1

x= 9

So you can buy 9 cans for 2.7 dollars

2. 10 Juice cost 3 dollars

by ratio:

10/3 = 4/x

10x=12

x=1.2

so you will spend 1.2 dollars to buy 4 juice packs

Answer:

the answer is 224, if it is asking for the amount of megabytes she bought

Step-by-step explanation:

If she adds 2 megabytes each day, and after 64 days she only has 96 megabytes then

64 times 2 = 128

128 + 96 = 224

so 224 = the amount of megabytes she bought

Answer:  y ≤ (1/2)x + 3

Step-by-step explanation:

The slope is 1/2 and the y-intercept is 3.

The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]

From the graph, we have the following highlights:

The first highlight implies that the inequality sign to use is ≤

The slope (m) is calculated as:

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

So, we have:

[tex]m = \frac{3 -4}{0-2}[/tex]

[tex]m = \frac{-1}{-2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The y-intercept (b) is where the line crosses the y-axis:

b = 3

The linear inequality is represented as:

[tex]y \le mx + b[/tex]

So, we have:

[tex]y \le \frac 12x + 3[/tex]

Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]

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Answer:

At the very end, the amounts of money are:

A -- 24

B -- 24

C -- 24

If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:

A -- 12 (24 minus 12)

B -- 12 (24 minus 12)

C -- 48 (24 plus 12 plus 12)

Before that, A and C got half of what they had above from B, so:

A -- 6 (12 minus 6)

B -- 42 (12 plus 6 plus 24)

C -- 24 (48 minus 24)

And initially, B and C got half of what they had above from A, so:

A -- 39 (6 plus 21 plus 12)

B -- 21 (42 minus 21)

C -- 12 (24 minus 12)

Step-by-step explanation:

Answer:

What's the question of the problem

Similar triangles that have a scale ratio other than 1 are not congruent triangles.

The true statement about the proportions of the sides is [tex]\frac{AC}{DF} = \frac 52[/tex]

The scale ratio is given as: 5 : 2

And the corresponding sides are given as:

The above highlights mean that,

[tex]\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52[/tex]

Hence, the true statement is [tex]\frac{AC}{DF} = \frac 52[/tex]

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Answer:

None of these choices are correct

Answer:

2.6 miles shorter:) hope this helps

Answer:

x=8 and is not extraneous

Step-by-step explanation:

2(x-5)+11=17

2x-10+11=17

2x+1=17

2x=17-1

2x=16

x=8

extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation

2(8-5)+11=17

2(3)+11=17

6+11=17

17=17

since it works in the orignial equation it is not extraneous

The solution to the equation 2(x - 5) + 11 = 17 is x = 8

From the question, we have the following parameters that can be used in our computation:

2(x - 5) + 11 = 17

When the like terms are evaluated, we have

2(x - 5) = 6

Divide through the equation by 2

x - 5 = 3

So, we have

x = 3 + 5

Evaluate

x = 8

Hence, the solution to the equation is x = 8

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Answer:

those aren't limes, they're points.

Step-by-step explanation:

yeah-ya.......... right?

The values for [tex]x[/tex] are -5 and 20

Given to us:

[tex]x^2-15x-100=0[/tex]

In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.

for that you can take the LCM of 100 and check all factors of 100.

for example,

factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.

from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,

[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]

taking out common terms, we get

[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]

to find out the value of [tex]x[/tex] equating both the factors with 0, we get

[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]

Hence, the values for [tex]x[/tex] are -5 and 20

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Answer:

C or x=-5 or x=20

Step-by-step explanation:

Answer:

Step-by-step explanation:

a1 = 2

d = 7

n = 13

I take it you want the 13th term.

t_13 = a1 + (n - 1) * d

t_13 = 3  + (13 - 1) * 7

t_13 = 3 + 12*7

t_13 = 3 + 84

t_13 = 87

The answer is C) m∠1 + m∠2 = 90

Explanation: So ∠1 is x and ∠2 is x-4

Basically you know than ∠3 is 90° ... And a straight line is 180° ..                            So technically we can just find out 180-90 is 90(the other angle 1 + 2).

To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-

So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°

In other words you can say m∠1 + m∠2 = 90

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

Step-by-step explanation:

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Answer:

A and D is representing the solution.

Step-by-step explanation:

We can see that the lines (A and D) are both intersecting at 3, 1. Remember, if the lines are intersecting at a point, that point is the solution of the equation. Therefore, Option B is correct.

Hoped this helped.

[tex]GeniusUser[/tex]

I could not see the first question so i couldn't answer.

2) Draw a horizontal line and cut it in half with a vertical angle. 4 equal quarters will form. There each quarter is 90° (right angle is exactly 90°angle)

3) Just add the two angles.

x =13+19

x= 32° (Answer)

4) We must know the other angle value in order to find x. So considering both the angles are equal,

2x = 44

x= 22° (Answer)

5) Yes, x = 80° because the line cutted is a straight line and the value of a straight line is 180°

6) Supplementary angles total 180°

Complementary angles total 90°

7)Opposite angles is equal when two straight lines intersect. So,

14x - 16 = 12x + 22

14x-12x=22+16

2x= 38

x= 19° (Answer)

8) Corresponding angles

9) 140°

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

k12 test

Answer:

answer is attached

Answer:

10. 31.14

10/31+14

Step-by-step explanation:

Answer:

The equation would be x ÷ 4 ≤ 5