What do we do to both sides of this equation to solve?

5x=20

Question 3 options:

Add 5 to both sides


Subtract 5 from both sides


Multiply both sides by 5


Divide both sides by 5

Adjacent angles in parallelograms are supplementary angles thus :

[tex]x + 130 = 180[/tex]

[tex]x = 180 - 130[/tex]

[tex]x = 50[/tex]

Zach  runs with 14.31 feet per second speed  and faster than other runners.

Speed is measured as the ratio of distance to the time in which the distance was covered

Given that Frank runs 9 feet per second.

Speed=Distance /time

=9 feet/ 1 second

=9 feet per second.

Tony runs 299 feet in 34 seconds

Speed=299/34

=8.794 feet per second.

Zach runs 1 mile in 396 seconds.

We know that 1 mile =5280 feet

Speed=5280/369

=14.31 feet per second.

Will runs 675 feet in 1 minute

1 minute is 60 seconds

Speed=675/60

=11.25 feet per second.

Hence, Zach  runs with 14.31 feet per second speed  and faster than other runners.

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Let's use some identities to help us solve

    [tex]x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)[/tex]

We know -->  [tex]sin^2(t)+cos^2(t) = 1[/tex]

So:

   [tex]\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1[/tex]

Thus the choice is the second choice

An equation is formed of two equal expressions. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given two of the equations which can be rewritten as shown below,

x = 4 cos(t)

x/4 = cos(t)

Squaring both sides of the equation,

x²/16 = cos²(t)

y = 5 sin(t)

y/5 = sin(t)

Squaring both sides of the equation,

y²/25 = sin(t)

y²/25 = sin²(t)

Adding the two of the given equations we will get,

(x²/16) + (y²/25) = cos²(t) + sin²(t)

(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1

The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.

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Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer: y = -5 + 19

We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Susbtituting the slope and values from the point from the problem gives:

(y−−1)=−5(x−4)

(y+1)=−5(x−4)

We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:

−1=(−5⋅4)+b

−1=−20+b

20−1=20−20+b

19=0+b

19=b

We can substitute for m and b in the formula to find the equation:

y=−5x+19

Answer:

80 inches cubed

Step-by-step explanation:

V=bh

b= 5 x4 h=4

5 x 4 x 4 = 80

Answer:

the ratio of one bag of flour is 8

Answer:

Step-by-step explanation:

Pls give brainlest if right.

10/20-3/6 ?

Answer:

Step-by-step explanation:

Count the number of letters

Change integers to strings and put them

Hence answer is 3

Answer:

Step-by-step explanation:

Volume of the figure = Base area * height

Base area:

Base area = area of trpezium + area of triangle

Trapezium:

a, b area the length of parallel sides and h is the height of trapezium.

a = 8 m ; b =  5 m & h = 3 m

[tex]\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}[/tex]

                               [tex]=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}[/tex]

Triangle:

height = 4 m & base = 8 m

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}[/tex]

                           [tex]=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}[/tex]

Base area = 19.5 + 16

                 = 35.5 m²

Volume of the figure = Base area * height

                                     = 35.5 * 14

                                      = 497 m³

Answer:

  g(n) = g(n-1) -15

  g(1) = -65

Step-by-step explanation:

We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.

__

  g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)

  g(n+1) = g(n) -15

and ...

  g(1) = -50 -15(1) = -65

Then the recursive formula can ge written as ...

  g(n) = g(n-1) -15

  g(1) = -65

_____

Additional comment

We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:

  g((n-1)+1) = g(n-1) -15

  g(n) = g(n -1) -15

Either of these forms tells you how to get the next term from the previous one.

Answer:

g(n) = g(n-1) -15

g(1) = -65

Step-by-step explanation:

answer on khan

Answer:

$0.90

Step-by-step explanation:

$7.20 divided by 8 is 0.9.

Answer:

.90

8 divided by 7.20 is 1.11

1.11 times 7.20 = 8

Step-by-step explanation:

Answer:

y=30

Step-by-step explanation:

it equals 30 because 2y+y=90. So now you know 3y=90. divide both sides by 3 so you can isolate the y. 90/3=30.

I have 90 because of the right angle. That is a 90-degree angle.

Answer:

4a²-9

Step-by-step explanation:

(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}

= 4a²-9

Answer:

you have 3 way which one you want comparison supstitution or the third one

Answer:

u cant find the area if you dont add a picture or say if the cm is the width or the lenth.

L BOZO

Step-by-step explanation:

Answer:

PLEASE ADD PICTURE OR NOT ANSWER!

Step-by-step explanation:

We don’t know the problem. Pls apply it.

Answer:

the answer is 10% if it is simple interest you're talking about.

D) ac + ad + bc + bd

Hope it helps :)

Answer:

D) ac + ad + bc + bd

Step-by-step explanation:

Answer:

Given Equation

[tex] \bf \: 25 {x}^{2} - 64[/tex]

we have to factorise the given equation .

We will use the following identity here

Let's factorise it

[tex]\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)[/tex]

Therefore,

So, your answer is (5x+8) ( 5x-8)

Answer:

A)Let's let M = the number of Multiple choice problems and

N = the number of essay questions.

B)Also, since there are 36 questions altogether, we can say that

M + N = 36

So, therefore

M = 36 - N

Step-by-step explanation:

Hope this helped I couldn’t get C very confusing.

The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively

Composite shapes are the combination of two or more shapes combined together.

The composite shape given is made up of a hemisphere and a cone

Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)

Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)

Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³

Hence the volume of the composite shape is 575.6cm³

Calculate the surface area

Surface area = πr(r+l) + 3π r²

Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm

Hence the surface area of the composite figure is 518.1 square cm

Answers:

Sample Variance = 31.03

Sample Standard Deviation = 5.57

See the table below.

===================================================

Explanation:

M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.

For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.

Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.

Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.

--------------------------------------------------------------------------

After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].

This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03

This is the sample variance.

The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.

Answer:

13/6

No explanation sorry :(

Answer:

P'Q' ⇔ 8 cm

A'B' ⇔ 6 cm

M'N' ⇔ 12 cm

Step-by-step explanation:

A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.

The length of PQ is given as: 2 cm.

The length of line segment AB is given as: 1.5 cm

The length of line segment MN is given as: 3 cm.

Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.

PQ → P'Q'

⇒ Length of P'Q'= 8 cm.   ( since 4×2=8)

AB → A'B'

⇒ Length of A'B'= 6 cm.   ( since 1.5×4=6)

MN → M'N'

⇒ Length of M'N'= 12 cm.   ( since 4×3=12)

Hence,

P'Q' ⇔ 8 cm

A'B' ⇔ 6 cm

M'N' ⇔ 12 cm

As no points are shown so only steps can be provided to solve

So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)

So new coordinates are (4x,4y)

So

if length of segment was x then after dilation new length is 4x

Therefore, the resulting expression for the price Genevieve will pay

will be:  p - 100 - 3/20p

-lukelaws