the sum of 2 prime numbers is 61, find the difference​

Answer: ∛v

Step-by-step explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ =  v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!

2x + 2x + 15 - x +4x - 7 + 9 = 94

8x - x + 17 = 94

7x = 94 - 17

7x = 77 / : 7

x = 11 [ m }

Answer:

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

Step-by-step explanation:

Answer:

1/2 (x)-4

Step-by-step explanation:

Hopes this helps

Answer:

3.5 (meters per second)

Step-by-step explanation:

To calculate the slope, we need two points. Let's see if we can select two points from the graph.

From the graph, we can pick out two possible points.

At the beginning, (0,2.5) is a valid candidate.

And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.

The slope formula is:

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

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:

[tex]m=\frac{20-2.5}{5-0}[/tex]

Simplify:

[tex]m=\frac{17.5}{5}\\ m=3.5[/tex]

Thus, the slope is 3.5 meters per second.

Further notes:

And the entire equation will be:

[tex]m=3.5s+2.5[/tex]

Answer:

the answer is £833

Step-by-step explanation:

Mary have £5000.

8 friends + Mary = 9 people

flight = £279 × 9

= £2511

accomodation = £184 × 9

= £1656

flight + accomodation = £4167

£5000 - £4167

= £833

Answer:

90/ 11 or 8.18

Step-by-step explanation:

(10+80-60 * 3) / ( 4 -7 x 3 +6)

-90/-11

90/11

8.18

Answer:

x = 5  when x >=-9

Step-by-step explanation:

| x + 9 | - 4 = 2x

x + 9 - 4 = 2x

x - 2x = 4 - 9

-x = - 5

x = 5

x < - 9 no solution

| x + 9 | - 4 = 2x

| -10 + 9 | - 4 = 2(-10)

| -1 | - 4 = -20

1 - 4 = -20

-3 = -20

x >= -9 no solution only x = 5

| x + 9 | - 4 = 2x

| -9 + 9 | - 4 = 2(-9)

| -1 | - 4 = -18

1 - 4 = -18

-3 = -18

Answer:

14vr

Step-by-step explanation:

7vr - (-7rv)=

Subtracting a negative is like adding

7vr + (7rv)=

Changing the order of rv to vr

7vr + (7vr)=

Combing like terms

14vr

-15.7

Step-by-step explanation:

2

-15

-12

-10

-12

-18

-20

-25

-------

-110

7 divide by -110=-15.7

Answer:

18n^2+120-378

Step-by-step explanation:

18n^2+120-378

The above expression can't be simplified further because the terms aren't like terms.

Hope this helps ;) ❤❤❤

Answer:

18n squared + 120n - 378

4.243 + 120n + 378

124.243 + 378

502.243

Answer:

0.77777777777777777777777777777777(the 7 repeats forever)

Step-by-step explanation:

Answer: 0.78

To find the decimal of a fraction, you divide the numerator by the denominator. 7 ÷ 9 is equal to 0.77777... which is equal to 0.78 when rounded.

Answer:

(12, -3)

Step-by-step explanation:

You can solve it algebraically or graphically. Graphically you find the intersection point. Algebraically with substitution/elimination.

Answer:

[tex]\boxed{\bold{\huge{\boxed{x = 26}}}}[/tex]

Step-by-step explanation:

[tex]70 = \frac{4x+36}{2}[/tex]

Multiplying both sides by 2

[tex]70 * 2 = 4x+36[/tex]

[tex]140 = 4x+36[/tex]

Subtracting 36 to both sides

[tex]140 - 36 = 4x[/tex]

[tex]104 = 4x[/tex]

Dividing both sides by 4

[tex]26 = x[/tex]

OR

[tex]x = 26[/tex]

Answer:

x=26

Step-by-step explanation:

[tex]70=\frac{4x+36}{2}\\ 70*2=4x+36\\140=4x+36\\4x=140-36\\4x=104\\\frac{4x}{4}=\frac{104}{4}\\ x=26[/tex]

check

70=(4x+36)/2

70=(4*26+36)/2

70=(104+36)/2

70=140/2

70=70

Answer:

reflection over the line y = x

Step-by-step explanation:

A transformation is the movement of a point from its initial location to its new location. If a shape is transformed then all its points are also transformed. Types of transformations are rotation, translation, dilation and reflection.

If apoint A(x, y) is rotated 90 degrees clockwise around the origin then the new location is at A'(y, -x). Then if the point A'(y, -x) is reflected over the x axis the new location is A" (y, x)

If a point A(x , y) is reflected over y = x, the new coordinate is A'(y , x)

A transformation that corresponds to rotating a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis is a reflection over the line y = x

Answer:

1. His percentage score is 65%

Answer:

When x = 4, (4, 0)

When y = 4, (6, 4)

Step-by-step explanation:

To find the ordered-pair solution when x = 4, plug 4 into the x of the equation.

y = 2x - 8

y = 2(4) - 8

y = 8 - 8

y = 0

This produces the ordered pair (4, 0).

To find the ordered-pair solution when y = 4, plug 4 into the y of the equation.

y = 2x - 8

4 = 2x - 8

12 = 2x

6 = x

x = 6

This produces the ordered pair (6, 4).

Answer:

[tex]x=6/13[/tex]

Step-by-step explanation:

So we have:

[tex]\frac{2}{3}x+\frac{3}{7}=1-\frac{4}{7}x[/tex]

Remove all the fractions to make things simpler. To do so, we can multiply by the LCM of the denominators.

The denominators are 3 and 7.

The LCM of 3 and 7 is 21. Thus, multiply everything by 21:

[tex]21(\frac{2}{3}x+\frac{3}{7})=21(1-\frac{4}{7}x)[/tex]

Distribute:

[tex]\frac{42}{3}x+\frac{63}{7}=21-\frac{84}{7}x[/tex]

Simplify the fractions:

[tex]14x+9=21-12x[/tex]

Add 12x to both sides:

[tex]26x+9=21[/tex]

Subtract 9 from both sides:

[tex]26x=12[/tex]

Divide both sides by 26:

[tex]x=12/26[/tex]

Reduce:

[tex]x=6/13[/tex]

And that's our answer :)

Answer: x = 6/13

find the common denominator (21);

14/21x + 9/21 = 21/21 - 12/21x

move your variable to one side and your constants to the other:

26/21x = 12/21

multiply all by 21/26 to get a lone x:

x = 12/26

simplify:

x = 6/13

Answer:

z = 120º

Step-by-step explanation:

t + 2t + t + 2t = 360º

60 + 2(60) + 60 + 2(60) = 360

t = 60

2t = z

z = 120º

This is all based on the fact there there are 360º in a quadrilateral.

Answer:

-5

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

.25x + .125x + 24 = 60

.25x + .125x = .375x

.375x + 24 = 60

60 - 24 = 36

.375x = 36

36/ .375

x = 96

Answer:

96

Step-by-step explanation:

I TOOK IT ON EDGGGGGGG

Answer:

[tex]\huge\boxed{B. \ -3}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x+ 5[/tex]

Put x = -4

[tex]f(-4) = 2(-4) + 5\\f(-4) = -8+5\\f(-4) = -3[/tex]

I hope this helps you

let's write 2 for x

f(2)=2.2-1

f(2)=4-1

f(2)=3

Answer:

18.682

Step-by-step explanation:

Given that :

E = (-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

Answer:

57.5 %

Step-by-step explanation:

First find out the number of workers that do not arrive by 8 am

200 -85 = 115

Take this number divided by the total

115/200 = .575

Change to percent form

57.5 %

Answer:

see below

Step-by-step explanation:

y=6x^2 +2x - 20

a=6  b= 2  c = -20

Quadratic Formula

-b ± sqrt( b^2 - 4ac)

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

   2a

-2 ± sqrt( 2^2 - 4*6(-20))

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

   2*6

-2 ± sqrt( 2^2 - 4*6(-20))

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

   2*6

-2 ± sqrt(484)

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

   2*6

-2 ± 22

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

   12

20/12 = 5/3        -24/12 = -2

solutions are 5/3 and -2

Factoring

0=6x^2 +2x - 20

0 =2( 3x^2 +x - 10)

   =2 ( 3x-5) ( x+2)

Using the zero product property

3x-5 = 0   x+2 = 0

3x=5         x =-2

x = 5/3      x = -2

Completing the square

y=6x^2 +2x - 20

Add 20

20=6x^2 +2x

Divide by 6

20/6 = x^2 +2/6x

10/3 = x^2 +1/3x

Take the coefficient of x and divide by 2

1/3 /2 = 1/6

Square it

(1/6) ^2 = 1/36

Add it to each side

10/3 + 1/36 = x^2 +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6) ^2

121/ 36= ( x+ 1/6) ^2

Take the square root of each side

sqrt(121/ 36) = sqrt( ( x+ 1/6) ^2)

±11/6 = x+1/6

Subtract 1/6 from each side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      -1/6 + 11/6 = x

-12/6 =x                10/6 =x

-2 =x                         5/3 =x

Graphing

Answer: and Step-by-step explanation:

y=6x² +2x - 20

let a=6  

let b= 2

let c = -20

Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

using Quadratic Formula

-b ± √( b² - 4ac)

             2a

-2 ± √( 2² - 4*6(-20))

             2*6

-2 ± √( 2² - 4*6(-20))

              2*6

-2 ± √(484)

       2*6

20/12 = 5/3      

-24/12 = -2

the answers are 5/3 ;  -2

use by Factoring

0=6x² +2x - 20

0 =2( 3x² +x - 10)

   =2 ( 3x-5) ( x+2)

by using the zero product property

3x-5 = 0

x+2 = 0

3x=5        

x =-2

x = 5/3    

x = -2

by using completing the square

y=6x² +2x - 20   Add 20

20=6x² +2x        Divide by 6

20/6 = x² +2/6x

10/3 = x^2 +1/3x    Take the coefficient of x and divide by 2

1/3 /2 = 1/6             Square it

(1/6) ² = 1/36        Add it to both side s

10/3 + 1/36 = x² +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6)²

121/ 36= ( x+ 1/6)²  Take the square root of both side

√(121/ 36) = √( ( x+ 1/6)²)

±11/6 = x+1/6          Subtract 1/6 from both side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      

-1/6 + 11/6 = x

-12/6 =x                

10/6 =x

x = -2  

x = 5/3

by using a graphing computer

Answer:

2/5

Step-by-step explanation:

Divide the top and bottom by 18

36/90

36÷ 18 = 2

90 ÷18 = 5

36/90 = 2/5

Answer:

Below

Step-by-step explanation:

Notice that:

● 36 = 18×2

● 90 = 18×5

■■■■■■■■■■■■■■■■■■■■■■■■■■

● (36/90) = (18×2)/(18×5)

● (36/90) = (18/18) × (2/5)

● (36/90) = 1 × (2/5)

● (36/90) = (2/5)

Answer:

2 terms

Step-by-step explanation:

Terms are nothing but the mixtures of co-effecients and their variables..

Here, 9a is one term while 11p is the other

Answer:

2

Step-by-step explanation:

9a is a term and 11p is a term.

Answer:18

I hoped it helped

Answer:

you have to use P.E.M.D.A.S

Step-by-step explanation:

Parentesis, Equation, Multiplication,Divied,Add, Subtracting