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photoshop1234 [79]
3 years ago
10

Jake and Seth put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after

a certain amount of time (x), in weeks, is shown by the equations below:
Jake: y = 5x + 85
Seth: y = 20x + 40

After how many weeks will Jake and Seth have the same amount of money in their money boxes and what will that amount be?

3 weeks, $100
3 weeks, $285
6 weeks, $150
100 weeks, $3
Mathematics
2 answers:
makkiz [27]3 years ago
5 0
1)  How many weeks will Jake and Seth be equal? set the equations equal to each other and solve for x:

5x + 85 = 20x + 40

45 = 15x

<u><em>x = 3 weeks</em></u>

2)  How much money will that be? plug x = 3 back into the equation to solve for y:

Jake:  5(3) + 85 = $100
Seth:  20(3) + 40 = $100

<u><em>answer is $100</em></u>
Semmy [17]3 years ago
3 0
After how many weeks will jake and seth have the same amount of money
jake=y=5x+85
seth=y=20x+40
so when seth=jake or y=y or 5x+85=20x+40 then they have same ammount of money so solve for when they are equal
5x+85=20x+40
subtract 40 from both sides
5x+45=20x
subtract 5x from both sides
45=15x
divide boht isdes yb 15
3=x

after 3 weeks

then subsitute 3 into the equation
20x+40=y
20(3)+40=y
60+40=y
100=y

the answer is
3 weeks, $100
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PLEASE HELP
Ronch [10]

Answer:

<em><u>1 and 5</u></em>

Step-by-step explanation:

The squares have a side length of 10 and 1 square side is the radius of the half-circles. Since there are two half-circles, find the circumference for one full circle:

C=2\pi r

Insert the radius:

r=10\\C=2\pi *10

Simplify pi:

C=2*3.14*10

Simplify multiplication:

C=6.28*10\\C=62.8

The circumference of the circles is 62.8. Now find the perimeter of the exposed squares with side length 10. There are 4 exposed sides, which equals one square. Find the perimeter:

P=10+10+10+10\\P=10+10+20\\P=10+30\\P=40

Add the perimeter of the circle and the square together:

P=62.8+40=102.8

Now see which of the options gives you the perimeter:

1. 40+20\pi =102.8  ****

2. unavailable

3. 120+20\pi =182.8

4. 300+100\pi =614.2

5. 10+10+10\pi +10+10+10\pi =102.8 ****

Finito.

7 0
2 years ago
Based on the following system of equations, determine the number of solutions.
larisa [96]

2 solutions x,y= 2,7

5 0
3 years ago
1/3 x (9c+12) + (4c)+6
RoseWind [281]

Answer:

7c+18

Step-by-step explanation:

FIRST

take out the parentheses so it will be

( 1/3*9c)+12+4c+6

3c+12+4c+6

Combine like terms



3 0
3 years ago
Devon made a box with length x+1, width x+3, and height x-3. What is the volume of Devon's box as a function of x?
erica [24]

Answer:

(a)

V=x^3+x^2-9x-9

(b)

x=10

(c)

x=\frac{7}{2}

Step-by-step explanation:

we are given

length is x+1

L=x+1

width is x+3

W=x+3

height is x-3

H=x-3

(a)

we can use volume formula

V=L\times W\times H

now, we can plug it

V=(x+1)\times (x+3)\times (x-3)

now, we can simplify it

V=x^3+x^2-9x-9

(b)

we are given volume =1001

so, we can set V=1001

and then we can solve for x

V=x^3+x^2-9x-9=1001

now, we can factor it

\left(x-10\right)\left(x^2+11x+101\right)=0

x-10=0

x=10

(b)

we are given volume

so, we can set

V=14\frac{5}{8}=\frac{14\times 8+5}{8}

V=\frac{117}{8}

and then we can solve for x

V=x^3+x^2-9x-9=\frac{117}{8}

now, we can factor it

8x^3+8x^2-72x-189=0

\left(2x-7\right)\left(4x^2+18x+27\right)=0

2x-7=0

x=\frac{7}{2}

8 0
3 years ago
Ron started the day with a score of +12.
Naily [24]

+ 12 - 4 + 3 - 15

= 12 + 3 - 4 - 15

=     15   -   19

= - 4

8 0
2 years ago
Read 2 more answers
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