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Valentin [98]
3 years ago
10

Find the value of y when x equals 11. 7x - 9y = 23

Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

Answer:

y = 6

Step-by-step explanation:

Just plug 11 into x then flip - 9y and 23 by picking the opposite sign so + to - or - to +

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How many pairs of consecutive natural numbers have a product of less than 40000? I am in 5th grade. This is supposed to be easy
Ugo [173]

Answer:

There are 199 pairs of consecutive natural numbers whose product is less than 40000.

Step-by-step explanation:

We notice that such statement can be translated into this inequation:

n \cdot (n+1) < 40000

Now we solve this inequation to the highest value of n that satisfy the inequation:

n^{2}+n < 40000

n^{2}+n -40000

The Quadratic Formula shows that roots are:

n_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (1)\cdot (-40000)}}{2\cdot (1)}

n_{1,2} = -\frac{1}{2}\pm \frac{1}{2} \cdot \sqrt{160001}

n_{1} = -\frac{1}{2}+\frac{1}{2}\cdot \sqrt{160001}

n_{1} \approx 199.501

n_{2} = -\frac{1}{2}-\frac{1}{2}\cdot \sqrt{160001}

n_{2} \approx -200.501

Only the first root is valid source to determine the highest possible value of n, which is n_{max} = 199. Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.

6 0
3 years ago
Write in Slope-Intercept Form the equation of the line that has the given slope and point. 5 p (4, - 2), m = 1 /4​
Ainat [17]

Answer:

y = 1/4x - 3

Step-by-step explanation:

y + 2 = 1/4(x - 4)

y = 1/4x - 3

5 0
3 years ago
Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inc
almond37 [142]

Answer:

The 3 correct answers are 1, 3, and 5:

(Correct) A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.

(Wrong) A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.

(Correct) A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

(Wrong) A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.

(Correct) A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

7 0
3 years ago
Read 2 more answers
Quick I need help solving !!!
Crazy boy [7]

Answer:

it is 240

Step-by-step explanation:

put in equation and solve

2/3t+10=170

t=240

4 0
4 years ago
Dose anyone know how to solve this?
Andrew [12]

Answer:

The right answer is 16m

Step-by-step explanation:

4*4=16

8 0
3 years ago
Read 2 more answers
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