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Wittaler [7]
4 years ago
8

Two positive numbers have a difference of 13. The larger number is three more than twice the smaller. Find the two numbers.

Mathematics
2 answers:
Y_Kistochka [10]4 years ago
4 0

Step-by-step explanation: Let x be the larger number and let y be the smaller one.

x-y=13

x=2y+3

Now you can substitute x=2y-3 into the first equation.

x-y=13=(2y+3)-y

y+3=13

y=10

x=2y+3=20+3=23. Hope that helped!

hammer [34]4 years ago
4 0

Answer:

x = 23 \\ y = 10

Step-by-step explanation:

x - y = 13  =  > y = x - 13\\ x = 2y + 3 \\  \\ x = 2(x - 13) + 3 \\ x = 2x - 23 \\ x = 23 \\  \\ 23 - y = 13 \\ 23 - 13 = y \\ y = 10

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Richard is selling bundles of wood. The total weight of the wood he is selling is 6,165 pounds, and there are 90 bundles. If eac
BARSIC [14]

Answer:

each bundle weighs 68.5 lb

Step-by-step explanation:

6165/ 90

7 0
3 years ago
If f(2) = 13 and f '(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?​
timofeeve [1]

Answer:

23

Step-by-step explanation:

We are given that

f(2)=13

f'(x)\geq 2

2\leq x\leq 7

We have to find the possible small value of f(7).

We know that

f'(x)=\frac{f(b)-f(a)}{b-a}

Using the formula

f'(x)=\frac{f(7)-f(2)}{7-2}

f'(x)=\frac{f(7)-13}{5}

We have

f'(x)\geq 2

\frac{f(7)-13}{5}\geq 2

f(7)-13\geq 2\times 5

f(7)-13\geq 10

f(7)\geq 10+13

f(7)\geq 23

The small value of f(7) can be 23.

3 0
3 years ago
Please I beg you help me
Elena L [17]

Answer:

Option D

Step-by-step explanation:

Going through the choices will help determine which option best simulates the random selection of a voter.

<u>Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.</u>

Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.

<u>Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.</u>

Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.

<u>Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.</u>

Nava has a higher chance of being voted, so this option does not fit the stimulation.

<u>Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang</u>

In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.

Hope this helps :)

8 0
3 years ago
Write area or perimeter for each situation .Carpeting a floor?
aliya0001 [1]
Perimeter is the outside of it and the perimeter is the inside of it, so I'm pretty sure you would have to do both but if u have to do one then I would go with area
5 0
3 years ago
Two angles are complementary. If one angle measures 25 degrees, what is the measure of the second angle?
Katena32 [7]
I believe it is c.155 degrees
4 0
4 years ago
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