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Sergeeva-Olga [200]
2 years ago
5

Your math teacher tells you that the next test is worth 100 points and contains 38 problems muitiple choices are worth 2 points

each and word problems are worth 5 points how many of each type of questions are there
Mathematics
1 answer:
jeka942 years ago
8 0

Answer:

multiple choice have 30 questions

word problems have 8 questions

Step-by-step explanation:

x=multiple choice. y=word problems

2x+5y=100 ---eq1

x+y=38 ---eq2

y=38-x ---eq3

substitutet eq3 into eq1

2x+5(38-x)=100

2x+(-5x)+190=100

2x-5x=100-190

-3x=-90

x=-90/-3

x=30

substitute x to eq3

y=38-(30)

y=8

multiple choice have 30 questions

word problems have 8 questions

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What is the equation for a geometric sequence with a first term of 4 and a second term of −8?
mihalych1998 [28]
<h3>Answer:</h3>

a_n=4(-2)^{n-1}

<h3>Step-by-step explanation:</h3>

The common ratio is -8/4 = -2. The general formula for the n-th term is ...

... an = a1·r^(n-1) . . . . . . note the use of the caret (^) and parentheses

For r = -2 and a1 = 4, this becomes ...

... an = 4·(-2)^(n-1) . . . . approximately matches the 2nd selection

5 0
3 years ago
Gables property Corp is leasing office buildings with an area of 49x^2 + 70x +25
Hoochie [10]

Answer:

Given: Gables property Corp is leasing office buildings with an area of 49x^2 + 70x+25

⇒ Area = 49x^2 + 70x+25

we can write this as:

Area = (7x)^2+2\cdot (7x) \cdot (5) + (5)^2            .....[1]

Use the  identity formula:

(a+b)^2 = a^2+2ab +b^2

then, by using this formula in [1] we have;

Area = (7x+5)^2

or

Area = (7x+5)(7x+5) square units

Area of building = l \times w where l is the length and w is the width respectively;

⇒ l = w = 7x+5 units

Therefore, the possible length and width of the building is;

l = 7x+5 units

w = 7x+5 units

As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.

Therefore, the possible shape of the building is Square.



7 0
3 years ago
Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$46 thousand less than twice that of an
seraphim [82]

Answer:

The average sallary of a Master's is 60 thousand and of a Bachellor's is 53 thousand.

Step-by-step explanation:

In order to solve this problem we first need to attribute variables to the unkown quantities. We will call the average salary of Master's "x" and the average salary of a Bachellor's "y". The first information the problem gives us is:

x = 2*y - 46

The second one is:

x + y = 113

We now have two equations and two variables, so we can solve the system. To do that we will use the value for x from the first equation on the second one. We have:

2*y - 46 + y = 113

3*y = 113 + 46

3*y = 159

y = 159/3 = 53

x = 2*(53) - 46 = 60

The average sallary of a Master's is 60 thousand and of a Bachellor's is 53 thousand.

3 0
3 years ago
Multiply: (0.6x4 )(0.2x6 )
seraphim [82]
It will give you 2.88
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Whitepunk [10]

Answer:

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7 0
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