what number can go into 2470,121 and 45
​

Answer:

it is parallel because it is a straight line I think

Answer:

[tex] \frac{10}{16} [/tex]

Step-by-step explanation:

[tex] \frac{red \: pens}{total \: pens \: } = \frac{10}{16} [/tex]

or 5/8

The given pattern is an illustration of a linear equation. The students' equations are:

Given that:

[tex]n \to[/tex] number of tiles

[tex]s\to[/tex] step number

See attachment for the pattern, that is being analyzed by the students.

Dan

For each step, the number of tower is the same as the step number.

This means that:

[tex]n \to s[/tex]

2 arms contain one less block means: 2 x (s - 1) blocks for both arms.

So, Dan's equation is::

[tex]n = s + 2 \times (s - 1)[/tex]

[tex]n = s + 2(s - 1)[/tex]

Sally

First, we calculate the slope (m) of the table

[tex]m = \frac{n_2 - n_1}{s_2 - s_1}[/tex]

So, we have:

[tex]m = \frac{4-1}{2-1}[/tex]

[tex]m = \frac{3}{1}[/tex]

[tex]m =3[/tex]

The equation is then calculated using:

[tex]n = m(s - s_1) + n_1[/tex]

This gives:

[tex]n = 3(s - 1) + 1[/tex]

Open bracket

[tex]n = 3s - 3 +1[/tex]

[tex]n = 3s - 2[/tex]

Hence;

Dan's equation is: [tex]n = s + 2(s - 1)[/tex]

Sally's equation is: [tex]n = 3s - 2[/tex]

Read more about linear equations at:

https://brainly.com/question/19770987

Answer:

4=q+13

or, 4 - 13 = q

or, -9=q

q = -9

Answer:

5n - 2n

Step-by-step explanation:

Step-by-step explanation:

[tex]five \: times \: number = 5n \\ twice \: number = 2n \\ so \: \\ 5n - 2n \\ thank \: you[/tex]

Answer:

5300 m

Step-by-step explanation:

Hi there!

First, we must change 5.342 km to meters by multiplying it by 1000:

5.342 × 1000 = 5342

Now, we know that 5.342 km is equivalent to 5342 m.

To round to the nearest 100 m, look at the hundreds place value in 5342 m. It is 3. The number before is 4. Because 4 is less than 5, it means we keep 3 as 3 and replace all the digits before with 0:

5300 m

I hope this helps!

Answer:

  3/8

Step-by-step explanation:

Answer:

190 goats

33 cows

70 chickens

A scale drawing is an illustration of shape where the accurate size of the new shape is in proportion to the previous shape.

Given that:

[tex]k = 3[/tex] --- the scale factor

From the given polygon, we have:

[tex]Side_1 = 8[/tex]

[tex]Side_2 = 6[/tex]

The corresponding sides of these two sides are:

[tex]Side_1 = 8 \times 3[/tex]

[tex]Side_1 = 24[/tex]

[tex]Side_2 = 6 \times 3[/tex]

[tex]Side_2 = 18[/tex]

See attachment for the scaled drawing

Read more about scaled drawing at:

https://brainly.com/question/980463

Answer:

-21 r^5

Step-by-step explanation:

(7r) (-3r^4)

Multiply the coefficients

7*(-3)

-21

Multiply the variables

r * r^4 = r^(4+1) = r^5

-21 r^5

Answer:

Step-by-step explanation:

Width = w

triple the width = 3*w = 3w

Length = 7 yards longer than triple the width = 3w + 7

Perimeter = 438 yards

2*(length +width) = 438

2*(3w+ 7 + w) = 438       {Combine like terms}

2 * (4w + 7)     = 438

     2*4w +2*7 = 438       {Use distributive property}

         8w + 14 = 438          {Subtract 14 from both side}

                  8w = 438 - 14

                  8w = 424          {Divide both sides by 8}

                    w = 424/8

                     w = 53 yards

Length = 3*53 +7 = 159 + 7 = 166 yards

Width = 53 yards

Length = 166 yards

Answer:

[tex] \frac{5}{3} {a}^{2} b + \frac{3}{4} abc + 5 \\ \\ \frac{5}{3} ( { - 2)}^{2} (1) + \frac{3}{4} ( - 2)(1)(2) \\ \\ \frac{5}{3} (4) + \frac{3}{4} ( - 4) \\ \\ = \frac{20}{3} - 3 \\ \frac{20 - 9}{3} = \frac{11}{3} = 3.666[/tex]

3x²y+5xy²+2xyz = 3(-1)²(2) + 5(-1)(2)² + 2(-1)(2)(-2) = 3(1)(2) + 5(-1)(4) + 2(4) = 6 – 20 + 8 = – 6

I hope I helped you^_^

Coordinate geometry is the use of a 2D plane to represent points.

Given that:

[tex]A = (-5,5) \to A' = (5,5)[/tex]

[tex]B = (-2,2) \to B' = (2, 2)[/tex]

[tex]C = (-3,2) \to C' = (2,3)[/tex]

By observing the pattern of transformation, the rule is:

[tex](x,y) \to (y,-x)[/tex]

Hence, the transformation is a rotation of 270 degrees clockwise

The length is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]

[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]

And

[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]

[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]

By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.

The measure of the angles is calculated as follows:

[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]

So, we have:

[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]-2= \sqrt{13} \cos C[/tex]

Make cos C the subject

[tex]\cos C = -0.5547[/tex]

[tex]C = cos^{-1}(-0.5547)[/tex]

[tex]C = 124^o[/tex]

Also, we have:

[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]

So, we have:

[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]

[tex]\frac{1}{\sin A} =5.1175[/tex]

Rewrite as:

[tex]\sin A = \frac{1}{5.1175}[/tex]

[tex]\sin A = 0.1954[/tex]

[tex]A = \sin^{-1}(0.1954)[/tex]

[tex]A = 11^o[/tex]

Also, we have:

[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle

[tex]11 + B + 124 = 180^o[/tex]

Collect like terms

[tex]B = 180 -11 - 124[/tex]

[tex]B = 45[/tex]

Hence:

[tex]\angle A = 11[/tex]   [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]

Read more about coordinate geometry at:

https://brainly.com/question/1601567

Answer:

55-9

Step-by-step explanation:

you subtract

78 × 32 = 2496 → answer

...

Answer:

thx

Step-by-step explanation:

Answer: So rounding 69581.491337 to the nearest thousand is

70000

Answer:

34

Step-by-step explanation:

a - 54 ÷ b =

40 - 54 ÷ 9 =

40 - 6 =

34

The answer is 34.

Step-by-step explanation:

All you have to do is evaluate. (plug in the #'s)

a-54/9 can be changed to

40-54/9

54/9=6 and 40-6=34

Answer:

Each game would be 44.84 per order, so 2 games would be 89.68 and so forth.

Step-by-step explanation:

Take 39.99 and add 4.85 and that gives you the total for 1 game per order.

Answer: 3a+b/9

(the slash represents a fraction so the answer is a fraction)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

If all question are worth same same amount of points, you can miss 5 questions out of 35 and get an 86. If you miss 6 questions you would get an 83.

hope this helped!

Answer:

5

Step-by-step explanation:

In the given figure, the point X represents centroid. The correct option is C.

A centroid is the point of intersection of all the medians of a triangle in geometry. The medians of a triangle are the line segments that connect each vertex to the opposite side's midpoint.

The centroid is also known as the triangle's "centre of mass" or "centre of gravity" because it is the point at which the triangle could be balanced if cut out of a piece of cardboard or other thin material.

Circumference is defined as the point at which three perpendicular bisectors intersect, which is incorrect because there is no indication of right angles.

The incenter is the point where the angle bisectors of the triangles meet, which is also not shown in the photo.

Thus, the correct option is C.

For more details regarding centroid, visit:

https://brainly.com/question/10708357

#SPJ7

Your question seems incomplete, the probable complete question is:

Answer:

8x^2 +10x -5

Step-by-step explanation:

you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5

Answer:

Yes!

Step-by-step explanation:

It is also a fraction. But, again fraction is a rational number and the number is also real (>0).

12x - 10.5y - 48 = 0

______________

Answer:

The total area is multiplied by 6

Step-by-step explanation:

Answer:

Value of k is 9

Step-by-step explanation:

-2x + 8 = -10

-2x = -10 - 8

-2x = -18

x = -18/-2

x = 9

f(x) = f(k)

x = k

9 = k

Hello there!

We are given the function:

[tex] \displaystyle \large{f(x) = - 2x + 8}[/tex]

We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.

[tex] \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}[/tex]

Solving the equation. First, we subtract both sides by 8.

[tex] \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ [/tex]

Divide both sides by -2.

[tex] \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}[/tex]

Therefore, k = 9

When we substitute k = 9 in f(k), the value is -10.

Let me know if you have any questions!

Topic: Linear Function

A. √50 = 5√2 ≈ 7,07107

B. √169 = √13² = 13

C. 736

D. 225

Answer:

24 and 48

Step-by-step explanation:

let one number=x

the other number=2x

2x+x=72

3x=72

x=72/3=24

So one number is 24 and the other is 2(24)=48

Answer:

6 and 12 lol

Step-by-step explanation:

6(12)=72

12 is 6(2)

Let other one be x

ATQ

[tex]\\ \sf\longmapsto x+\dfrac{-8}{17}=-8[/tex]

[tex]\\ \sf\longmapsto\dfrac{17x-8}{17}=-8[/tex]

[tex]\\ \sf\longmapsto 17x-8=17(-8)=-136[/tex]

[tex]\\ \sf\longmapsto 17x=-136+8[/tex]

[tex]\\ \sf\longmapsto 17x=-128[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-128}{17}[/tex]

Answer:

Step-by-step explanation:

The other number is x:

Answer:

Option(A) [tex]4^{\frac{5}{8}}[/tex] is equivalent to [tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

Step-by-step explanation:

Given:

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

To simplify the expression

Using the exponent rule,

[tex]$\frac{x^{a}}{x^{b}}=x^{a-b}$[/tex]

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex][tex]=4^{\frac{7}{8}-\frac{1}{4}}[/tex]

[tex]=4^{\frac{5}{8}}[/tex]

The correct answer option is (A) [tex]4^{\frac{5}{8}}[/tex]

Learn more about Exponent rule, refer: