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givi [52]
3 years ago
12

Find the solution 4y-x=5+2y 3x+7y=24

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

24

Step-by-step explanation:

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In bowling, the distance from the foul line to the headpin is 60 feet. A bowling ball has a radius of about 4.3 Inches. How many
soldi70 [24.7K]

Answer:

  about 26.6 times

Step-by-step explanation:

The circumference of the ball is found from ...

  C = 2πr = 2π(4.3 in) ≈ 27.02 in

There are 12 inches per foot, so the 60 foot distance of interest is ...

  (60 ft)×(12 in/ft) = 120 in

In terms of ball circumference, that distance is ...

  (120 in)/(27.02 in/rotation) ≈ 26.6 rotations

If the ball starts rotating at the foul line, it will turn about 26.6 times before reaching the head pin.

4 0
3 years ago
Find the 10th term of geometric sequence 3,15,75,375
Bess [88]

Answer:


Step-by-step explanation:

In a geometric sequence, the next term is a constant times the previous term. This constant is determined by dividing the second term by the first, here giving 5. The remaining terms are checked to see that each is 5 times the previous. 75 is 15×5, 375 is 75×5.


Alternately, the nth term is first term times k^(n-1).

Here, that's 3×5^(10-1), 3×5^9=5859375

7 0
3 years ago
Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

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1 year ago
What do you call it when police interrogate a cows husband
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The answer is
"Question-a-bull"
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Aliyah I had some candy to give to her four children. she first took ten pieces for herself and then evenly divided the rest amo
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She started with 18 prices of candy
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