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2 years ago

Solve the equation. -4.6p - 6.3p + 3.9= -9.18

Mathematics

2 answers:

Advocard [28]2 years ago

8 0

Answer:

I got u

Step-by-step explanation:

start by adding together -4.6p and 6.3p to get 1.7p. rewrite the equation as 1.7p + 3.9 = -9.18 then subtract 3.9 on both sides to get 1.7p= -13.08 then divide that by 1.7 and p= -7.6

im not 100% sure so im sorry if its wrong

KiRa [710]2 years ago

4 0

Answer: P=1.2

Step-by-step explanation:

-4.6p-6.3p+3.9=-9.18

simplify

-10.9p+3.9=-9.18

-10.9p=-13.08

p=1.2

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What is the value of x What is the value of the exterior angle

Oduvanchick [21]

Answer:

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Step-by-step explanation:

triangles add to 180 degrees

lets call the unknown angle y

82 + x + y = 180

we also know that y + (2x-20 ) = 180 because it is a straight line

lets solve this for y

y + (2x-20 ) = 180

subtract (2x-20) from each side

y = 180 - (2x-20)

y = 180 - 2x + 20

y = 200 -2x

substitute this in the triangle equation

82 + x + y = 180

82 + x + 200 -2x = 180

combine like terms

282 -x = 180

subtract 282 from each side

-x = -102

multiply by -1 on each side

x = 102

the exterior angle is 2x-20

exterior angle is 2(102) -20

exterior angle is 204-20

exterior angle is 184

This is impossible.

There is a mistake with this problem

The triangle is not a triangle. Angle y would be negative. y=-4

6 0

3 years ago

Sarah is a computer engineer and manager and works for a software company. She receives a

daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = $a$

Given that:

$a_4=129\\a_{10}=207$

Formula for $n^{th}$ term of an Arithmetic Progression is given as:

$a_n=a+(n-1)d$

Where $d$ will represent the number of projects increased every year.

and $n$ is the year number.

$a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)$

Subtracting (2) from (1):

$78 = 6d\\\Rightarrow d =13$

By equation (1):

$129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90$

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

$a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233$

Each project pays $500

Earnings in the twelfth year = 233 $\times$ 500 = $116500

Sum of an AP is given as:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938$

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 $\times$ 1938 = $969000

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Tara wants to lose 10 lbs. before spring break so that she looks and feels her best in a bathing suit. In the next 12 weeks, she

Harlamova29_29 [7]

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3 years ago

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mart [117]

She ran the last 100 meters in 2:15 -1:25 = 0:50, so her average speed was

... (100 m)/(50 s) = 2.0 m/s

6 0

3 years ago

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insens350 [35]

Answer: 27

Step-by-step explanation:

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3 years ago