Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

Check

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

Answer:

alan received 24 votes

Step-by-step explanation:

bark

Answer:

2 people per RV.

Step-by-step explanation:

24 / 12 = 2

Answer:

[tex]- \frac{1}{3} * 3^n[/tex]

Step-by-step explanation:

This is a geometric sequence/progression

Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]

Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],

and [tex]r = 3[/tex]

[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]

[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]

There won't be any change in the total mass of the atoms involved in a chemical reaction. According to the law of conservation of mass; it states that mass can neither be created nor destroyed in a chemical reaction. So, when atoms participate in a chemical reaction they might displace with other reactants but the total mass will remain the same.

_______

RainbowSalt2222 ☔

Answer:

126°

Step-by-step explanation:

180-54 = 126

Supplementary angles form 180°. Let's take the missing angle as 'x'.

54° + x° = 180°

x = 180° - 54°

x = 126°

=》 Angle LJK = 126°

______

RainbowSalt2222 ☔

Answer:  12

Step-by-step explanation:

A 45 degree angle in a right triangle means that the third angle is also 45 degrees (180 -(90+35)) = 45.  Two 45 degree angles in a right triangle means that the two sides will be equal.  So we can find the hypotenuse, x, by:

(6[tex]\sqrt{2}[/tex])² + (6[tex]\sqrt{2}[/tex])² = x²

(6[tex]\sqrt{2}[/tex])² = 36*2 or 72

72 + 72 = x²

x² = 144

x = 12

Answer: 30

Step-by-step explanation:

Answer:

30 po brainliest answer po ty

Answer:

I think it is 43167 but am not really sure

Answer:

HOW DID YOU DO THAT? BECAUSE I CANT DO THAT 3 PIC

Answer:

The answer would be 0.05

so =D

Step-by-step explanation:

Answer:

4 7/12

Step-by-step explanation:

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

Answer:

x = 7°

Step-by-step explanation:

∠WST is an exterior angle of the triangle

The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles

Solve:

(5x - 1) + (57) = (12x + 7)

5x - 1 = 12x - 50

-1 = 7x - 50

49 = 7x

x = 7

-Chetan K

Answer:

108

Step-by-step explanation:

A linear pair adds to 180 degrees

<C + <F = 180

3x+ 3x+18 = 180

6x+18 =180

6x+18-18= 180-18

6x =162

6x/6 =162/6

x=27

<F = 3x+18 = 3(27)+18 =81+27 = 108

Answer:

a)it is a 45 degree angle

b) Enzo saves 8 minutes if he takes the shortcut

Step-by-step explanation:

a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .

b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h

you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each

2.4 km=length of Rutherford and Orchard together

shortcut is 2 km

divide 2.4 by 0.4 or .4 and you get 6  

so if it takes him 20 min on the shortcut it should save him 8 minutes.

Answer:

33 cars please give Brainliest

i frist 1 1 2

Step-by-step explanation:

Y

Answer:

Step-by-step explanation:

i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!

Answer:

21

Step-by-step explanation:

we know that according to the isosceles triangle theorem, that the angles of the triangle are 90, 2x+3, 2x+3

from the triangle angle sum theorem, we know that 4x+6 = 90

solving, we get 4x=84, x=21

Answer:

isosceles + a right angle, so both angles at the bottom are the same and equal to (2x+3).

so we have 180 degrees = 90 + (2x+3) + (2x+3)

so x = 21

Answer: 4 days

Step-by-step explanation:

Answer:

Apply the concept of:

a²+b²=c²

1. 5²+4²=c²

  25+16=c²

        c²=41

         c=6.4 (to nearest tenth)

Do the same for the other qns.

Answer:

In My Opinion, y < 425 - x

I hope this helps.

Answer:

Step-by-step explanation:

If two lines are parallel, then there is no intersection and therefore no solutions.

Correct choice is D

Answer:

D. The system of equations does not have one solution because the lines will never intersect.

edg2021Unit Test

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation: All you need to do is divide 3 and 8

Answer:

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.

The total cost of the video controller is $41.63.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A video controller cost $39.

If a 6.75% sales tax is added,

that means,

6.75% of 39,

= 6.75 x 39 / 100

= 2.6325 taxed amount.

The total cost = 39 + 2.6325 = 41.63.

Therefore, $41.63 is the total cost.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Answer:

12.7272

Step-by-step explanation:

subtract 10 on both sides

divide by 11 on both sides 11/11>140/11

Answer:

x=130

Step-by-step explanation:

11x+10>=150

11x>= 150-10

11x>=140

x>=140-11

x>=129

so, because "x" is bigger than 129,

so, x=130

Answer:

95 degrees

Step-by-step explanation:

The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180

Add common terms, then subtract 10: 2x = 170

Divide by 2: x = 85

So angle F is 85 + 10, or 95 degrees.

Answer:

1. 2025

2. 737

3. 1365

4. 866

5. 923

6. 1662

7. 2013

8. 1562

9. 2400

Step-by-step explanation:

These are the answer