Convert this rational number
to its decimal form and round
to the nearest thousandth.

Answer: 24

Step-by-step explanation:

if line BD = line BC, then

5x - 26 = 2x + 1

3x = 27

x = 9

so if you plug that pack into the original equation for line BC (2x + 1), then line BC is 19 units long. now, subtract that from AC to find the length of AB:

43 - 19 = 24 units

Answer:

456789 to 3 significant figures = 457000

Answer: The first answer

A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?

Step-by-step explanation:

We want to see which problem can be represented with the equation:

100*x + 50 = 710.

The correct option is:

"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"

So, let's briefly analyze the equation.

We have the linear equation:

100*x + 50 = 710.

On the left side, we have 100 times the variable plus a constant of 50, and that must be equal to 710.

So, we start with 50, and if x counts the number of weeks, we add 100 per week.

And because that is equal to 710, we are counting the number of weeks that we need to add 100 to get to that number.

So the problem that meets these conditions is:

"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"

If you want to learn more, you can read:

https://brainly.com/question/2263981

Answer:..Step-by-step explanation:

Answer:

[tex]d=\sqrt{274}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(6-(-9))^2+(-4-3)^2} \\d= \sqrt{(15)^2+(-7)^2} \\d= \sqrt{225+49} \\d= \sqrt{274}[/tex]

       Triangles given in Options (b) and (c) are similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

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

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

https://brainly.com/question/2499350?referrer=searchResults

Answer:

Step-by-step explanation:

H

Answer:

45

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

5(2) + 5(7)

Step 2: Multiply

10 + 35

Step 3: Add

45

Answer:

45

Step-by-step explanation:

Parenthesis means you would need to multiply

so

(5 x 2) + (5 x 7)

= 10 + 35

add

= 45

Answer:

305,200

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Hope this helps.

Answer:

0.75=n

Step-by-step explanation:

10=4n+7

-7        -7

3=4n

divide by four

0.75=n

your welcome :)

Answer:

B

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]

And we want to find:

[tex]h(f(-1))[/tex]

So, find f(-1) first. Substitute -1 into f(x):

[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]

Square:

[tex]f(-1)=-2(1)-5(-1)+1[/tex]

Multiply:

[tex]f(-1)=-2+5+1[/tex]

Add:

[tex]f(-1)=4[/tex]

Now, substitute this into h(f(-1)):

[tex]h(f(-1))=h(4)[/tex]

So, substitute 4 into h(x):

[tex]h(4)=3(4+3)^2-11[/tex]

Add:

[tex]h(4)=3(7)^2-11[/tex]

Square:

[tex]h(4)=3(49)-11[/tex]

Multiply:

[tex]h(4)=147-11[/tex]

Subtract:

[tex]h(4)=136[/tex]

So, our answer is B.

And we're done!

Answer:

Step-by-step explanation: the triangle is negative 6, plus 18 half in the middle.

Answer:

Substitution

Step-by-step explanation:

Subtitue x=3 into the second equation

y=2(3)+1

y=6+1

y=7

Answer: 4x+5

Step-by-step explanation: it has been reflected over the x- axis

Answer:

4¹⁰

Step-by-step explanation:

4³ × 4⁷ = 4³⁺⁷ = 4¹⁰

Answer:

[tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

[tex]\frac{-10}{12} ,\frac{-5}{6}[/tex]

Step-by-step explanation:

Start with:

[tex]\frac{-2}{3}[/tex] × [tex]\frac{5}{4}[/tex]

Multiply your numerators.

[tex](-2)(5)=-10[/tex]

Now, multiply your denominators.

[tex](3)(4)=12[/tex]

Let's transfer those numbers into a fraction.

[tex]\frac{-10}{12}[/tex]

You may need to simplify.

Divide by the greatest common factor. In this case, that would be [tex]2[/tex].

[tex]-10[/tex] ÷ [tex]2=-5[/tex]

[tex]12[/tex] ÷ [tex]2=6[/tex]

Put those numbers back into the fraction.

[tex]\frac{-5}{6}[/tex]

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

Answer:

Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.

I hope this helped! :) If it was correct for your question please give me brainliest!

Answer:

I want to say your answer is option B.

Characteristics of a scientific measuring tool consist of:

Measure Ability

Usability

Validity

Reliability

Practicability

Essentially the measuring tool needs to be accurate.

Looking at the options, the answer that fulfills these requirements is Option A.

Best of Luck!

Answer:

$18, $9, $9

Step-by-step explanation:

First get the sum of all the ratios 2+1+1 =4

Divide $36 by the sum of the ratios $36/4 =$9

Multiply each ratio by $9 to get each of the amount.

I. 2x$9= $18

ii. 1x$9= $9

Iii. 1x $9 = $9

Answer:

Float in Water:

Wheat

Butter

Oak wood

Sink in Water:

Brick

Clay

Step-by-step explanation:

No idea honestly, but make sense also do not mind my user. Brainly was being annoying by ADs and keep putting them in my face.

The name of the angle notated by the arc is C. TPS.

Due to the arc, P is the middle letter, so The answer is TPS.

Answer:

Step-by-step explanation:

A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.