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dolphi86 [110]
3 years ago
14

Can someone help me on 11 and 14

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0
For 11, set them equal to each other, since they both equal y.

y=2x+5; y=3x-1
2x+5=3x-1
x=6

and then substitute that x-value to find y.

y=3(6)-1
y=18-1
y=17

for 14 you can substitute the bottom y-value (x+7) into the top equation.

2x=y-10; x+7=y
2x=(x+7)-10
x=-3

and then substitute that x-value to find y.

-3+7=y
y=4
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for every 5 pounds of pasta served , 15 people can be fed. how many people can be fed with 4 pounds of pasta?
Sidana [21]

Answer:

12

Step-by-step explanation:

its direct proportion. 15 divided by 5 is 3 so you must multiply 3 by 4 to get the amount of people, which is 12

7 0
3 years ago
Find a12 of the sequence 1/4, 7/12, 11/12, 5/4
UNO [17]

1/4 = 3/12, and 5/4 = 15/12, so it looks like there's a common difference between terms of 4/12 = 1/3. The the n-th term in the sequence is given recursively by

\begin{cases}a_1=\frac14\\a_n=a_{n-1}+\frac13&\text{for }n>1\end{cases}

By substitution, we get

a_n=a_{n-1}+\dfrac13\implies a_n=\left(a_{n-2}+\dfrac13\right)+\dfrac13

a_n=a_{n-2}+\dfrac23

and doing this again and again until we stop with an expression containing a_1, we find that

a_n=a_1+\dfrac{n-1}3

a_n=\dfrac{4n-1}{12}

Then the 12th term in the sequence is

a_{12}=\dfrac{4\cdot12-1}{12}=\boxed{\dfrac{47}{12}}

7 0
3 years ago
The element plutonium-239 is highly radioactive. Nuclear reactors
Dominik [7]

Answer:

2.84\cdot 10^{-5} y^{-1}

Step-by-step explanation:

The decay rate of a radioactive isotope (also called activity of the isotope) is given by:

r=k N

where

r is the decay rate

k is the decay constant

N is the number of nuclei in the radioactive sample

The decay constant of a radioactive isotope is also related to the half-life of the isotope by the formula

k=\frac{ln2}{t_{1/2}}

where

t_{1/2} is the half-life of the isotope, which is the time taken for the sample to halve, compared to its initial amount

In this problem, the half-life of plutioniun-239 is

t_{1/2}=24,360 y

Therefore, the k-factor (decay constant) is:

k=\frac{ln 2}{24,360}=2.84\cdot 10^{-5} y^{-1}

7 0
3 years ago
Steve prepreformed the chemistry experiment in which divided 5/8 of a box of baking soda evenly among the five bottles he then a
weeeeeb [17]

Answer:

\mathbf{ \dfrac{1}{8} \ box}

Step-by-step explanation:

Given that:

Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;

Then, mathematically:

=\dfrac{5}{8} \ box \div 5

= \dfrac{5}{8} \ box \times  \dfrac{1}{5}

\mathbf{= \dfrac{1}{8} \ box}

3 0
3 years ago
Solve equation for 3(2x - 5) - (2x - 5) = 6(4x + 5)​
LUCKY_DIMON [66]

Answer:

the answer is negative two / x= -2

5 0
3 years ago
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