Write the word sentence as an equation. Then solve.

The difference between a number c
and 13
is −2
.

Answer:

D: 2.67

Step-by-step explanation:

Assuming that both vertical lines are parallel, there are rules regarding angle sizes.

The rule that is specific to this question is alternate angles, this is when two angles are of the same size when they are on opposite sides of the line. This means that both equations equal each other:

10x + 13 = -3 + 16x

Add 3 to both sides to remove the negative 3 and isolate the 16x:

10x + 13 + 3 = 16x

10x + 16 = 16x

Subtract 10x from both sides of the equation to simplify:

10x + 16 - 10x = 16x - 10x

16 = 6x

Divide both sides by 6 to simplify:

6x = 16

[tex]x = \frac{16}{6}\\x = \frac{8}{3}[/tex]

Or in decimal form,

[tex]2.\overline{6} \\= 2.67[/tex]

Hope this helps!

Learn more about alternate angles theorem here:

https://brainly.com/question/24839702

Answer:

D. 5-3x = 17

Step-by-step explanation:

The step carried out was subtracting 2 from both sides.

[tex]5 - 3x + 2 = 19 \\ 5 - 3x + 2 - 2 = 19 - 2 \\ 5 - 3x = 17[/tex]

Answer:

x = 2°

steps:

reason:

corresponding angles have same angle measure.

Answer:

x = 2

Step-by-step explanation:

Corresponding angles are equal

Therefore, 7x + 3 = 8x + 1

Subtract 7x from both sides:

⇒ 3 = x + 1

Subtract 1 from both sides:

⇒ 2 = x

Answer:

Your final elevation is 90ft or D

Hope this helps!

Step-by-step explanation:

90 D ok anwerrrrrrrrrrrrrrtr

Answer:

So cool

Hahahah

Step-by-step explanation:

Answer:

7k-35=5+10k+2k

or, 7k-35=5+12k

or, -35-5=12k-7k

or, -40=5k

or, k=-40/5

Therefore, k=-1/8

Answer:

Obtuse scalene triangle

Answer:

256.6 feet

Step-by-step explanation:

     First, I recommend drawing a picture for problems like this. See attached for my example!

-> What does the "angle of elevation" mean? In summary, if your hand has a line going out in both directions horizontally from it, it is the angle "up" to the kite.

     Now, let us find out what formula(s) we will use to solve this problem.

-> We have two of the angles (so we can easily find the third) as well as the hypotenuse

-> We are solving for one of the legs, then adding five feet to it

-> I think I will use the 57° angle and the sine function since we have the hypotenuse and are solving for the opposite side (to the angle 57°)

     Lastly, we will solve! First, I will find the length of the opposite side to the 57° angle.

sin(θ) = [tex]\frac{opposite}{hypotenuse}[/tex]

sin(57°) = [tex]\frac{x}{300}[/tex]

300sin(57°) = x

251.6 ≈ x

x ≈ 251.6 feet

     Now we will add 5 feet to 251.6 since your hand is 5 feet above the ground.

251.6 + 5 = 256.6

Answer:

10.6

Step-by-step explanation

i just divided 2.65 and 0.25 and got 10.6(: hoped it helped

Answer:

the constant of proportionality is 0.2 and it is a proportional relationship

Step-by-step explanation:

2 divided by 10 is 0.2

1 divided by 5 is 0.2

they have the same answer so they are proportional

since they have the answer 0.2 it

is there constant of proportionality

Answer:

(x+5)(x+25)=5

Step-by-step explanation:

When simplified, if you foil the left side of the equation, you get:

x^2+30x+125 = 5

Simplified, you get:

x^2+30x+120 = 0

A quadratic by definition is a polynomial with the highest degree of 2, which means the highest exponent should be a two. In our case, it is. So therefore, (x+5)(x+25)=5 is the answer.

Answer:

Option 1

Step-by-step explanation:

(x + 5)(x + 25) = 5 is a quadratic equation. It can be verified upon expansion.

=> x² + 30x + 125 = 0

=> Quadratic equations are of the form Ax² + Bx + C = 0

=> Hence it is a quadratic equation

Answer:

A graphing calculator can do quadratic regression on the given points. It tells you the cost function is

.. c(x) = (1/2)x^2 +8x +10

Then c(12) = 178

The cost function predicts the total cost of producing 12 camera cases is $178.

Step-by-step explanation:

<3 follow

Answer:

Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?

a.

oak

b.

ash

c.

elm

d.

poplar

Answer:

Step-by-step explanation:

a.

oak

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hope it helps rex

Step-by-step explanation:

sum of angles in a triangle

Answer:

x=33

Step-by-step explanation:

[tex]\hookrightarrow \: x + 90 + 57 = 180(sum \: of \: all \: angles \: of \: triangle)\\ \hookrightarrow \: x = 180 - 90 - 57 \\ \hookrightarrow \: x = 33[/tex]

Answer:

8%

Step-by-step explanation:

If the block weighs 235 grams, we can do (253.8-235)/235=18.8/235=0.08. Because it's percent, we need to multiply by 100, so the answer is 8%.

Answer:

Step-by-step explanation:

__________________

X |_-2_|_-1_|__0_|_1_|_2_|

Y |_1_|__0_|__-1_|_0_|_1_|

X=-2 => y=2-1=1

X=-1=> y=1-1=0

X=0=> y=0-1=-1

X=1=> y=1-1=0

X=2 => y=2-1=1

..........

X=10=> y=10-1=9

X=-10=> y=10-1=9

=> (0,+∞]

Answer:

40

Step-by-step explanation:

First, we must know that ab is the same as:

a × b

Now, since a is given as 8, we can substitute a with 8. This is shown below:

ab = 8 × b

Similarly, b is given as 5. So, we can substitute b with 5:

ab = 8 × 5

With this, we can now evaluate ab as shown below:

ab = 8 × 5

= 40

➠ The Pythagorean theorem was put forward by the Greek mathematician and philosopher named Pythagoras.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other sides.

[tex]\\[/tex]

꧁_______༺♕♛♕༻_______꧂

BC² = DC² + DB²

BC² = 3m² + 4 m²

BC² = 9m + 16m

BC² = √25 m

BC² = 5 m

DC² = BC² - DB²

DC² = 5m² - 4 m²

DC² = 25 m - 16m

DC² = √9 m

DC² = 3 m

[tex]\\[/tex]

______________>♡<_____________

[tex]\huge\mathfrak\red{Learn \: more \: about :}[/tex]

______________>♡<_____________

#Greetings Form Indonesian

Answer:that’s easy

Step-by-step explanation:-3x+4=1x because first you put the higher number first and then you subtracted which is 1x. Hoped it work.

Answer:

Slope:  − 3

y-intercept:  ( 0 , 4 )

x     y

0     4

4 /3  0

Step-by-step explanation:

Answer:

y=(x-3)^2-2

Step-by-step explanation:

We can see in the graph that the value of y for 1 its 2, so we have to test each equations to see which one is going to give us a 2 whit 1 as the x

Tracie would speak approximately 80 words in 120 seconds.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

We can use proportions to solve this problem.

If Tracie speaks 30 words in 45 seconds, then we can set up a proportion to find out how many words she would speak in 120 seconds:

30 words / 45 seconds

= x words / 120 seconds

Now,

45 seconds x (x words) = 30 words x 120 seconds

45x = 3600

x = 80

Therefore,
Tracie would speak approximately 80 words in 120 seconds.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ3

There is no image, but the formula you would use is h[(3.14r)^2] where h is the height, r is the radius, and 3.14 stands for pi.

The cost of one book = $ 6 7

Number of books = 1 0 2

The cost of 102 books = $ 67 × 102

= $ 6834

Therefore, cost of 102 books = $ 6834

Answer:

$6,834

Step-by-step explanation:

Given:

Total cost = number of books × cost of one book

                 = 102 × $67

                 = $6,834

Answer:

eight plus n

Step-by-step explanation:

8 = said as "eight"

+ = said as "plus"

n = said as "n"

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

The verbal expression would be 8 plus a number

Step-by-step explanation:

Hope this helps~

First, let's take a look at the larger polygon. The topmost side is 7 units long. Now, let's look at the small polygon. The topmost side is 1 unit long.

These polygons differ by a scale factor of 1/7.

7 * (1/7) = 1

49 * (1/7) = 7

Now, we know that x = 7.

The larger polygon has side lengths of 7, 49, 7, 49

The smaller polygon has side lengths of 1, 7, 1, 7

So we know that the difference is 235.

And a red and green put together is 92 balloons * 5.
So 5 red and green balloons put together is 460, or 92*5.

460-235=225

225/9=25

92-25=67

So 5*67 and 4*25 is 435.

Your final answer should be 435 balloons in total.

Let's set up the variables for the two numbers --> 'a' , 'b'

Now let's set up some equations based on the given information:

Equations:

   Solve (equation 1) for b in terms of a

     b = a - 6 -- equation 3

    (equation 3) into (equation 2)

     a^2 + (a - 6)^2 = 90

     a^2 + a^2 - 12a + 36 = 90

     2a^2 - 12a - 54 = 0

     (2a + 6)(a - 9) = 0

       a = -3 -- equation 4

       a = 9 -- equation 5

    (equation 4) into (equation 1)

      -3 + b = 6

       b = 9  - ---   a = -3, b= 9

    (equation 5) into ( equation 1)

     9 + b = 6

     b = -3 - ---     a = 9, b= -3

Since the numbers are interchangeable, the two numbers are -3 and 9.

Hope it helps!

Answer:

Step-by-step explanation:

Let number be "n".

Half a number added to the number = 240

This means

0.5n + n = 240

1.5n = 240

Divide both sides by 1.5

n = 240/1.5 = 160