All categories

3 years ago

Aaron, Ben and Caleb all have grabbed some lollies from a jar. Ben has twice as

Mathematics

2 answers:

RoseWind [281]3 years ago

8 0

Answer:

Step-by-step explanation:

So, to start off with, find all of the variables in the equation.

Aaron: x

Ben: 2x

C: (5 + 2x)

65 is how many lollies we they have altogether.

So now we start to make the equation.

x + 2x + 5 + 2x = 65.

Add like terms.

5x + 5 = 65.

65 - 5 = 60

5x = 60

60/5 = 12

Aaron = 12 lollies

Now find the amount of bens lollies

2(12) = 24

Ben = 24 lollies

24 + 5 = 29

Caleb = 29 lollies.

Thepotemich [5.8K]3 years ago

4 0

Answer:

Aaron=12 Ben=24 Caleb=29

Step-by-step explanation:

Aaron=x

Ben=2x

Caleb=2x+5

x+2x+2x+5=65

5x+5=65

-5 on both sides

5x=60

divide by 5 on both sides

x=12

You then substitute this answer with ben and Caleb

ben= 2x (2*12) =24

caleb= 2x+5 (24+5)=29

You might be interested in

What is the base (in inches) of a triangle with an area of 161 square inches and a height of 14 inches?

pantera1 [17]

$\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=14\\ A=161 \end{cases}\implies 161=\cfrac{1}{2}b(14) \\\\\\ 161=7b\implies \cfrac{161}{7}=b\implies 23=b$

7 0

2 years ago

Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. What is the length of Jason’s too

Nat2105 [25]

96/8=12 so the answer is 12m

4 0

3 years ago

The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +

lianna [129]

You have a system of equations $\left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right.$ .

1. Substitude right side of second equation into the left side of the first equation: $-6x+6=-x^2+2x-9$ .

2. Solve this equation:
$x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4, \\ \sqrt{D}=2, \\ x_{1,2}=\dfrac{8\pm 2}{2 } =3,5$ .

3. Find y:
for $x_1=3, y_1=-6\cdot 3+6=-18+6=-12$ ,
for $x_2=5, y_2=-6\cdot 5+6=-30+6=-24$ .

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.

7 0

3 years ago

Read 2 more answers

Really Easy, Help pleaseee

Dima020 [189]

1 minute = 0.25km

Step-by-step explanation:

divide both numbers that were given by 8. 8÷8 is 1 and 2÷8 is 0.25.

5 0

2 years ago

Read 2 more answers

It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding mess

Vaselesa [24]

Answer:

10 minutes

Step-by-step explanation:

Let the number of minutes = x

It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month.

For Guido

$4 + 0.20x

His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance.

For his mum

$2 + 0.40x

Guido's mom said they have to spend the same amount.

Equating both Equations together

$4 + 0.20x = $2 + 0.40x

$4 - $2 = 0.40x - 0.20x

2 = 0.20x

x = 2/0.20

x = 10 minutes

Guido can talk for 10 minutes

8 0

3 years ago