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2 years ago

Shawn has $5 more than Rj and Riley has $10 less than Shawn. If there combined total is $414, how much does

Mathematics

2 answers:

kotegsom [21]2 years ago

6 0

Answer:

Rj = $138

Shawn = $143

Riley = $133

Step-by-step explanation:

Notes

We can set up an equation to solve

-> x will be equal to Rj

-> For Riley, Shawn has 5 more than Rj (x + 5) and Riley has 10 less. 5 - 10 = -5

Solving for x

[equation] (x) + (x + 5) + (x - 5) = 414

[combine like terms] 3x = 414

[divide both sides by 3] x = 138

Solving for how much each person has

Rj = $138

Shawn = $138 + 5 = $143

Riley = $138 - 5 = $133

Checking work

$138 + $143 + $133 = $414 ✔

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

ExtremeBDS [4]2 years ago

5 0

Answer:

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

Step-by-step explanation:

Let's make the amount of money Rj has $x$ , so Shawn would have $5+x$ dollars, and Riley would have $(5+x)-10$ dollars. Altogether they have $414$ dollars, so you can create an equation.

$x+(5+x)+((5+x)-10)=414\\3x+0=414\\3x=414\\x=138$

Now that we know that $x=138$ , we can substitute x into each equation.

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

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4 years ago

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3 years ago

Find u and v only please:

tekilochka [14]

Every two triangles are similar. Therefore the sides of triangles are in proportion.

We have the equations:

$\dfrac{3}{5}=\dfrac{3+x}{20}$ cross multiply

$5(3+x)=(3)(20)$ divide both sides by 5

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$3+x=12$ subtract 3 from both sides

$\boxed{x=9}$

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

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3 0

3 years ago

find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measu

Inga [223]

Answer:

First angle: 60°

Second angle: 30°

Step-by-step explanation:

Let the two angles be signified by the variables x & y.

Let the first angle = x, and the second angle = y.

It is given that:

"The measure[ments] of the complementary angles...": x + y = 90°

"The measure of the first angle is 30 greater than the measure of the second angle": x = y + 30°

Use the system of equations. Plug in y + 30 for x in the first equation:

(y + 30) + y = 90

Combine like terms:

(y + y) + 30 = 90

2y + 30 = 90

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 30 from both sides of the equation:

2y + 30 (-30) = 90 (-30)

2y = 90 - 30

2y = 60

Next, divide 2 from both sides of the equation:

(2y)/2 = (60)/2

y = 60/2

y = 30°

Plug in 30 for y in one of the equations:

x = y + 30

x = (30) + 30

x = 60°

Your answers:

First angle: 60°

Second angle: 30°

6 0

3 years ago