what is 3/4(2x+5)=5(x+12)

Answer: 6.324555 ?

Step-by-step explanation: The distance formula is the square root of

((-5-(-7))² + (7-1)²)

(-5-(-7))=2, and 2² = 4.

(7-1)=6, and 6²=36.

4+36=40

the square root of 40 is about 6.324555.

Sorry if I got this wrong

Answer:

x = 129º

Step-by-step explanation:

It will take some time to elaborate but start this way:

you see the triangle with the 58º and 57º? Now by rule, the sum of all angles ina triangle is 180º

so 57+58 =  115

to discover the other angle you just have to 180-155 = 65

Now that you know the 65º by rule the angle facing it is exactly the same, follow from there, solve all triangles until you get to x...

Answer:

1 1/15

Step-by-step explanation:

Answer:

16/15  or  1.06.. or 1 1/15

Step-by-step explanation:

:)

Answer:

x squared+4x−12

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 4x - 12[/tex]

Step-by-step explanation:

[tex](x + 6)(x - 2)[/tex]

[tex] = > x(x - 2) + 6(x - 2)[/tex]

[tex] = > {x}^{2} - 2x + 6x - 12[/tex]

[tex] = > {x}^{2} + 4x - 12[/tex]

Answer:

202 miles per day

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.

The Bodens drove for awhile before they made a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.

Determine the initial number of miles that the Boden family drove before they made their plan.

771 miles

367 miles

165 miles

135 miles

This is your correct answer 165, oops this is the wrong question sorry

Answer:

32.5 miles in 30 minutes.

Step-by-step explanation:

There are a total of 4 - 30 minute segments in a period of two hours. Therefore, in this question, we can simply divide the total distance that Mr Edwards travelled during those two hours by the 4 segments, and that would give us the distance travelled in a single segment of 30-minutes.

130 / 4 = 32.5 miles

Finally, we can see that Mr Edwards travelled 32.5 miles in 30 minutes.

Answer:

3x+30= 116° 2x=64°

Step-by-step explanation:

the angle below 2x is the same as 3x+20 so we know that 5x+20=180 so solve this

5x+20=180

5x=160

x=32

sub x into the angle equations

3(32)+20=116

2(32)=64

Answer:

x=32°

Step-by-step explanation:

3x+20+2x=180°(being co interior angle)

3x+2x+20=180°

5x=180-20

5x=160

x=32°

Answer:

Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.

Step-by-step explanation:

Let c = children tickets

Let a = adult tickets

Given the following data;

Number of tickets = 15

Total amount spent = $140

Cost of each children ticket = $7

Cost of each adult ticket = $12

*Translating the word problem into an algebraic equation (system)*

For the total number of tickets;

[tex] c + a = 15 [/tex] .........equation 1

For the total amount spent;

[tex] 7c + 12a = 140[/tex] ..........equation 2

*Solving the linear equation by using the substitution method*

Making c the subject in equation 1:

[tex] c = 15 - a[/tex] .......equation 3

Substituting "c" into equation 2;

[tex] 7(15 - a) + 12a = 140 [/tex]

Simplifying the equation, we have;

[tex] 105 - 7a +12a = 140[/tex]

[tex] 105 + 5a = 140[/tex]

Rearranging the equation, we have;

[tex] 5a = 140 - 105[/tex]

[tex] 5a = 35[/tex]

[tex] a = \frac {35}{5} [/tex]

a = 5 (For the $12 adult ticket).

To find the number of children tickets;

Substituting "a" into equation 3;

[tex] c = 15 - 7[/tex]

c = 8 (For the $7 children ticket).

Answer:

178.695

Step-by-step explanation:

Answer:

1.28

Step-by-step explanation:

slope of line f = (94 - 19)/(-4 - 92) = -75/96

since line g is perpendicular to line f, the product if their slope = -1

therefore, 75/96 x slope of line g = -1

slope if line g = -1/(-75/96) = 96/75 = 1.28

Topic: Coordinate Geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

403.8 cm

Step-by-step explanation:

Refer to the picture that given

9514 1404 393

Answer:

  a) no

  b) yes

  c) maybe (no)

Step-by-step explanation:

There are two versions of the triangle inequality. One requires ...

  a + b > c

for any triple of side measures a, b, c.

The other allows ...

  a + b ≥ c

which admits "triangles" that have zero height and look like line segments.

Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.

__

a)

  [tex]16+21=37\ngtr39\qquad\text{not a triangle}[/tex]

b)

  [tex]27+34=61>58\qquad\text{could be a triangle}[/tex]

c)

  [tex]9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}[/tex]

Answer:

b: 4

Step-by-step explanation:

Answer:

B:4

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

recall that all internal angles of a triangle sum up to 180 deg

we are given that ∠F is a right angle = 90 deg

Simply sum all all the angles and equate the sum to 180 deg

90 + (3x+29) + (5x-3) = 180

90 + 3x+29 + 5x-3 = 180

90 + 3x+29 + 5x-3 = 180

116 + 8x = 180  (subtract 116 from both sides)

8x = 180 - 116

8x = 64  (divide both sides by 8)

x = 64/8

x = 8

Answer:

Step-by-step explanation:

Cost of 1 T-shirt = $ 10

Sales tax for 1 T-shirt = 5% * 10 = 0.05 * 10

Cost of n T-shirt = $ 10n

Sales tax for 'n' T-shirts = 0.05 * (10n)

Sales tax on  'n'  T-shirts = Sales tax for 1 T-shirt  * (Cost of n T-shirt)

Answer:

the cost of the t shirt  = 10 times the sale tax which is 5%

Step-by-step explanation:

Answer:

0.0124

Step-by-step explanation:

The negative sign means that we need to move the decimal sign to the left. Since it's -2, the decimal place will be moved to 2 places to the left. From 1.24, it will become 0.0124

Answer:

equation for slope:

y2-y1 / x2-x1

0- (-4) / 0 - (-5)

4/5 is your slope

Step-by-step explanation:

Answer:

m∠E = 61°

m∠F = 61°

General Formulas and Concepts:

Pre-Alg

Geometry

Step-by-step explanation:

Step 1: Define

m∠D = 58°

m∠E = m∠F = x

Step 2: Set up equation

58 + x + x = 180

Step 3: Solve for x

Step 4: Find angle measures

Answer: c= 35x + 75

Step-by-step explanation:

If he earns $75 then that will be the constant amount which means it will never change, plus $35 for x cars, will give us the expression 35x + 75 and that has to equal c which is his total earnings.

Answer:

Step-by-step explanation:

Total earnings for x cars sold:

Answer:

S=157

Step-by-step explanation:

an= a1+(n-1)d

a2=80+(2-1)(-3)

a2=80-3

a2=77

Sn=(a1+an)*n/2

S2=(80+a2)*2/2

S2=(80+77)*1

S2=157

Answer:

b.

Step-by-step explanation:

B because the slope of f(x) is 1 yet the slope of g(x) is 1/3

Answer:

125

Step-by-step explanation:

125x5=625

125x8=1000

Answer: =3t+5

Step-by-step explanation:

hope this helped

Answer: We can't see the ratios.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

2:3

2+3=5

2/5×200=80

Answer:

4y

Step-by-step explanation:

Answer: The table ▼

                            does

                          does not

show a proportional relationship between x and y.