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kvv77 [185]
3 years ago
10

You eat 3/10 of a pack of hot dogs. Your friend eats 1/5 of the pack of hot dogs. What fraction of the pack of hot dogs do you a

nd your friend eat? Write your answer as a fraction in simplest form
Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Answer:

  1/2

Step-by-step explanation:

Both fractions can be expressed using a denominator of 10. The sum can be reduced by removing a common factor of 5 from numerator and denominator.

  \dfrac{3}{10}+\dfrac{1}{5}=\dfrac{3}{10}+\dfrac{2}{10}\\\\=\dfrac{3+2}{10}=\dfrac{5\cdot 1}{5\cdot 2}=\dfrac{1}{2}

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Which graph represents exponential decay? On a coordinate plane, a straight line has a negative slope. On a coordinate plane, a
RoseWind [281]

Answer:

The correct option is (C).

Step-by-step explanation:

The exponential function representing decay is as follows:

y=y_{0}\cdot e^{kt};\ k

Here,

<em>y</em> = final value  

<em>y</em>₀ = initial value  

<em>k</em> = growth rate  

<em>t</em> = time passed

The graph represents exponential decay is:

"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."

Thus, the correct option is (C).

3 0
3 years ago
Read 2 more answers
Please answer soon I need this answer very quickly for math. Thank you!
Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

a_n=4n+5

<u>1. First 5 terms:</u>

For first 5 terms, we have to put n=1,2,...5,

So,

For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25

<u>2. Sum of first 25 terms:</u>

For that we have to find 25th term first

a_{25} = 4(25)+5\\=100+5\\=105

The formula for sum is:

S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425

<u>3. Type of sequence</u>

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

d=4

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3280369
  • brainly.com/question/7221312

#LearnwithBrainly

4 0
3 years ago
Use properties of exponents to complete the equivalent expression. (Take a look at the image).
kondaur [170]
The exponent would b 15



U just gotta solve it than u get 3375 than look for the square root of that and it’s 15over15
6 0
2 years ago
What is the percent equation for 46% of 127?
Brut [27]

Answer:

46% of 127 is 58.42

Step-by-step explanation:

46/100 = x/127

Cross multiply

46 × 127 = 100 × x

5,842 = 100x

Divide both sides by 100

58.42 = x

3 0
2 years ago
Wesley willed his estate to Margaret,
DiKsa [7]

Answer:

1,100,000

Step-by-step explanation:

20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000

4 0
2 years ago
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