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Lady bird [3.3K]
3 years ago
10

five times the larger of two consecutive odd integers is equal to one more than eight times the smaller. What is the larger inte

rger?
Mathematics
1 answer:
Margarita [4]3 years ago
6 0
The formula to find two consecutive odd integers is x + (x+2)
5(x+2) = 1 + 8(x)
5x + 10= 1 + 8x
10= 1 + 3x
9=3x
x = 3
Answer : the larger integer is 5(3+2) which is 25
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A restaurant offers 10 appetizers and 12 main courses. In how many ways can a person order a​ two-course meal? Use the Fundament
aliya0001 [1]

Answer:

80 ways

Step-by-step explanation:

The first thing is to apply the Fundamental Counting Principle with two groups of items, in this case the multiplication rule is used.

In this case, what we should do is that, for every 1 main course there are 8 appetizers, but there are 10 main courses therefore:

8 * 10 = 80

There are 80 ways to combine appetizers and the main course

5 0
3 years ago
the first term of an arthimetic sequence is 42 the rule an= an-1 +8 can 1 can be used explain how to write explict rules
Svet_ta [14]

Answer:

34 + 8n

Step-by-step explanation:

a₁ = 42

a_{n} = a_{n-1} + 8

a₂ = a₁ + 8    = 42 + 8   = 50

a₃ = a₂ + 8   = 50 + 8 = 58

a₄ = a₃ + 8 =   58 + 8  = 66

Arithmetic sequence: 42, 50 , 58 , 66, ......

a₁ = 42 ; d = 8

a_{n} = a₁ + d(n-1)

    = 42 + 8(n - 1)

    = 42 + 8n - 8

   = 34 + 8n

3 0
3 years ago
Read 2 more answers
For school spirit day, 11.875% of your class wears orange shirts, 5/8 of your class wears blue shirts, 0.15625 of your class wea
Rzqust [24]

Answer:

Gold, Orange, White, Blue

Step-by-step explanation:

8 0
3 years ago
Help urgent plz!❤️❤️❤️Please please urgently
sleet_krkn [62]

Answer:

Problem 2): \left \{x\, |\,0\leq x\leq 240\,\,\right \}

which agrees with answer C listed.

Problem 3) :  D = (-3, 6]  and R = [-5, 7]

which agrees with answer D listed

Step-by-step explanation:

Problem 2)

The Domain is the set of real numbers in which the function (given by a graph in this case) is defined. We see from the graph that the line is defined for all x values between 0 and 240. Such set, expressed in "set builder notation" is:

\left \{x\, |\,0\leq x\leq 240\,\right \}

Problem 3)

notice that the function contains information on the end points to specify which end-point should be included and which one should not. The one on the left (for x = -3 is an open dot, indicating that it should not be included in the function's definition, therefor the Domain starts at values of x strictly larger than -3. So we use the "parenthesis" delimiter in the interval notation for this end-point. On the other hand, the end point on the right is a solid dot, indicating that it should be included in the function's definition, then we use the "square bracket notation for that end-point when writing the Domain set in interval notation:

Domain = (-3, 6]

For the Range (the set of all those y-values connected to points in the Domain) we use the interval notation form:

Range = [-5, 7]

since there minimum y-value observed for the function is at -5 , and the maximum is at 7, with a continuum in between.

6 0
3 years ago
(1/4)^3z-1=16^z+2x 64^z-2
SpyIntel [72]

Answer:

Step-by-step explanation:

3 0
2 years ago
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