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kotykmax [81]
2 years ago
6

Teague is participating in a 50K run to raise money for a charity. He has already raised $102 and will receive $1.40 for each ki

lometer he travels. If he wants to raise a minimum of $165, how many kilometers does he need to run?
Equation: _________

Define Variable: _________

Solve Equation: _________

Final Answer: _________
Mathematics
1 answer:
astra-53 [7]2 years ago
7 0

Answer:

Step-by-step explanation:

Equation : 165 = 102 + 1.4K

Define: K is # of kilometers

Solve: 63 = 1.4k, so k = 45

Final answer: 45 kilometers

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How many different pizzas combinations can be created using three toppings when you have 10 to choose
Sergeeva-Olga [200]

Answer:

120 different combinations

Step-by-step explanation:

How complicate do you want it be? consider or not consider the repeat of topping or the order of toppings.

If not consider the order of topping and the topping can't be repeated than

C(₁₀ , ₃) = (10 x 9 x 8) / (3 x 2 x 1) = 120

5 0
3 years ago
Hannah is giving her sister a softball for her birthday, and wants to put it in a cubic gift box to preserve the surprise. She w
Inga [223]

Answer:

B. E(s) = s^3 - 29.

Step-by-step explanation:

The amount of empty space E(s) inside the cubic box is equal to the volume of the box minus the volume of the softball.

If the side length of the cubic box is s, and the volume of the softball is 29in^3, then the amount of empty space E(s) inside is

E(s) = s^3-29,

where s^3 is the volume of the cubic box.

Since it matches the equation we got above, choice B stands correct.

4 0
3 years ago
Find the area of the figure will give brain illest if correct! ​
Travka [436]
I’m sure that the area is 80. If you do 10 times 5, that will be 50.Then if you do 6 times 5, for the upper remaining part of the figure it would be 30. So 30 plus 50 is 50. Hope this helps!
3 0
2 years ago
The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second.
pickupchik [31]

Answer: first option.

Step-by-step explanation:

The ratio of the area of the triangles can be calculated as following:

ratio_{(area)}=(\frac{l_1}{l_2})^2

Where l_1 is the lenght of the given side of the smaller triangle and l_2 is the lenght of the given side of the larger triangle.

Therefore:

ratio_{(area)}=(\frac{28}{32})^2=\frac{49}{64}

It can be written as following:

ratio_{(area)}=49:64

The ratio of the perimeter is:

ratio_{(perimeter)}=\frac{l_1}{l_2}

Where l_1 is the lenght of the given side of the smaller triangle and l_2 is the lenght of the given side of the larger triangle.

Therefore:

ratio_{(perimeter)}=\frac{28}{32}=\frac{7}{8}

It can be written as following:

ratio_{(perimeter)}=7:8

5 0
3 years ago
Solve for z.<br><br> 3 + 9z = –7 + 10z<br><br> z =
stiv31 [10]
The answer should be z = 10
6 0
2 years ago
Read 2 more answers
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