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Aleksandr-060686 [28]
3 years ago
8

Lucy and Greg each want to buy a bicycle. Lucy has already saved $35 and plans to save $10 per week. Greg has $26 and plans to s

ave $13 per week. How many weeks will it take for Lucy and
Gregory to have the same amount of money saved? How much money will they have saved?
Mathematics
2 answers:
shutvik [7]3 years ago
5 0
By week 3 they will both have $65
yKpoI14uk [10]3 years ago
4 0

Answer:

3 weeks

65 dollars

Step-by-step explanation:

Alright to answer this question we have to set up an equation. For greg the equation is y=13x+26 and for lucy the equation is y=10x+35. y is total amount of money saved and x is number of weeks. Since we want them to each of the same amount of money we set up the equations to be 10x+35=13x+26

then we want to get the constant and the variables alone on different sides of the equal sign so we first subtract 26 from each side to get 10x+9=13x. next we want to subtract 10x from each side and then we end up with 3x=9. Finally we divide 3 from each side to get x=3, We have answered the question to how many week it will take them to save the same amount of money but not the other part. To find out how much money they will both have in 3 weeks we plug in 3 to x. 10(3)+35 which is equal to 65. They will both have 65 dollars in three weeks

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How to graph y= x - 2
Softa [21]

Step-by-step explanation:

make a negative and positive sign coordinate plane

plot it on -2

8 0
3 years ago
In 5 years, Dad will be three times as old as his daughter Jill will be then. If the sum of their present ages is 50, how old ar
Nataliya [291]
The answer is <span>b.3x + 15 = 55 - x
</span>
x - Jill's present age
y - dad's present age

<span>In 5 years, Dad will be three times as old as his daughter Jill will be then:
y + 5 = 3(x + 5)

</span><span>The sum of their present ages is 50:
x + y = 50

We have the system of two equations now:
</span>y + 5 = 3(x + 5)
x + y = 50

Let's rearrange the second equation:
If:         x + y = 50     
Then:  y = 50 - x

Now, substitute y from the second equation (y = 50 - x) into the first one:
y + 5 = 3(x + 5)
50 - x + 5 = 3(x + 5)
50 + 5 - x = 3*x + 3*5
55 - x = 3x + 15

Rearrange it a bit:
3x + 15 = 55 - x
Therefore, the correct choice is b.
5 0
3 years ago
On #10 i need help to solve this. please and thank you.
valina [46]
10a.f(x) = x - 4
       h(x) = \sqrt{x - 5}
       (f - h)(6) = (6 - 4) - (\sqrt{6 - 5})
       (f - h)(6) = 2 - \sqrt{1}
       (f - h)(6) = 2 - 1
       (f - h)(6) = 1

10b.f(x) = x - 4
       g(x) = \frac{1}{x - 3}
       (f * g)(x) = (x - 4)(\frac{1}{x - 3})
       (f * g)(x) = \frac{x - 4}{x - 3}
       Domain: (-∞, 3) ∨ (3, ∞) {x|x ≠ 3}
       Interval Notation: (3 < x < 3), (3 > x > 3)

10c.g(x) = \frac{1}{x - 3}
       h(x) = \sqrt{x - 5}
       (g * h)(x) = (\frac{1}{x - 3})(\sqrt{x - 5})
       (g * h)(x) = \frac{\sqrt{x - 5}}{x - 3}

10d.f(x) = x - 4
       g(x) = \frac{1}{x - 3}
       h(x) = \sqrt[3]{x - 7}
       h(x) = (f * g)(x)
       \sqrt[3]{x - 7} = (x - 4)(\frac{1}{x - 3})
       \sqrt[3]{x - 7} = \frac{x - 4}{x - 3}
       (\sqrt[3]{x - 7})^{3} = (\frac{x - 4}{x - 3})^{3}
       x - 7 = \frac{(x - 4)^{3}}{(x - 3)^{3}}
       (x - 3)^{3}(x - 7) = (x - 4)^{3}
       (x^{3} - 9x^2 + 27x + 27)(x - 7) = (x^{3} - 12x^{2} + 48x - 64)
       x^{4} - 16x^{3} + 90x^{2} - 216x + 189 = x^{3} - 12x^{2} + 48x - 64
       x^{4} + 90x^{2} - 216x + 189 = 17x^{3} - 12x^{2} + 48x - 64
       x^{4} + 102x^{2} - 216x + 189 = 17x^{3} + 48x - 64
       x^{4} + 102x^{2} + 189 = 17x^{3} + 264x - 64
       x^{4} + 102x^{2} + 253 = 17x^{3} + 264x
       x^{4} - 17x^{3} + 102x^{2} - 264x + 253 = 0
       x = 4\ or\ 8
4 0
3 years ago
Hunter needs 10 oz of a snack mix, seeds cost $1.50 per ounce and fruit costs $2.50 per ounce. The 10 oz snack mix costs $2.20 p
vichka [17]

Answer:

the hunter should purchase three ounces of seeds and 7 ounces of dried fruit to satisfy the situation

Step-by-step explanation:

Let us assume the amount of seeds be x

And, the amount of dried fruit be y

Now the first equation would be

x + y = 10

y = 10 - x

And, the second one would be

1.50x + 2.50y = 2.20(10)

1.50x + 2.50y = 22

We can put the y value in second equation

1.50x + 2.50(10 - x) = 22

1.50x + 25 - 2.50x = 22

-x = 22 - 25

-x = -3

x = 3

and, y = 10 - 3

= 7

Hence, the hunter should purchase three ounces of seeds and 7 ounces of dried fruit to satisfy the situation

7 0
3 years ago
The sides of a square is 5 cm long. on vertex is (2,3) which could be another vertex
Tamiku [17]
You could keep the "X" the same and add 5 t the "Y", so then it would be (2,8)
7 0
3 years ago
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