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Anit [1.1K]
3 years ago
15

What is the value of y in the What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3?

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0
5a-10b=45
b=3
5a -10(3) = 45
5a - 30 =45
5a = 75
a= 15
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In the equation x/35 = 7, what is the value of x?<br> a. 7<br> b. 245<br> c. 35<br> d. 5
Marianna [84]
<span>So we wan't to get the value of x in the equation x/35=7. To get x we need to multiply both sides of the equation with 35 and then we get: x=7*35. So after multiplying we get x= 245. To check the solution lets divide 245/7=35. So the correct answer is b. 245.</span>
6 0
3 years ago
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What is the volume of this square-based pyramid with a base length of 6 feet and a height of 10 feet?
bulgar [2K]

Answer:

60 or 90

Step-by-step explanation:

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Two friends Ana and Juan are buying books by joining the History Book
Travka [436]

Answer:

Ana  spent $17  per book on average.

Juan  spent $14.78  per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

                                                 = $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana  spent $17  per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

                                                 = $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan  spent $14.78  per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

8 0
3 years ago
When 5x^2 + 2= 4x is written in standard form, what are the values of a, b, and c
goblinko [34]

The standard form of a quadratic equation is

ax^{2}+bx+c=0,

where a, b, and c are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.

In this case, the given equation is

5x^{2}+2=4x

Since 4x is on the right side of the equation, we subtract that from both sides. The resulting equation is

5x^{2}-4x+2=0

Looking at the standard form equation ax^{2}+bx+c=0, we can see that

a=5, b=-4, c=0

7 0
3 years ago
Farmer bob's square plot ofland is slowly eroding away. Worried about the future of his farm. Farmer Bob measures the rate of er
kow [346]

Answer:

Option A.

Step-by-step explanation:

Area of a square is

A=x^2               .... (1)

where, x is side length.

The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.

\dfrac{dx}{dt}=2

It is given that bob currently owns 250,000 square feet of land.

Fist find the length of each side.

A=250000

x^2=250000

Taking square root on both sides.

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Differentiate with respect to t.

\dfrac{dA}{dt}=2x\dfrac{dx}{dt}

Substitute x=500 and \frac{dx}{dt}=2 in the above equation.

\dfrac{dA}{dt}=2(500)(2)

\dfrac{dA}{dt}=2000

Farmer bob is losing 2,000 square feet of land per year.

Therefore, the correct option is A.

7 0
2 years ago
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