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nata0808 [166]
3 years ago
5

A wheel for Lisa's bike has a diameter of 24 inches. What is the circumference, C, in inches? Use 3.14 for π

Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer:

75.36 inches

Step-by-step explanation:

C = π·d

C = 3.14(24)

C = 75.36

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(6,-5) and (9,r) lie on a line with slope -4. find missing coordinate r
Elodia [21]
(6,-5)(9,r)

 (r - (-5) / (9 - 6) = -4
(r + 5) / 3 = -4
r + 5 = -4 * 3
r + 5 = -12
r = -12 - 5
r = - 17 <===
4 0
3 years ago
A publisher sells 10 to the power of 6 copies of a new book.
Degger [83]

Answer:

100,000,000

Step-by-step explanation:

10^6= in this case, just add 5 zeros to the 10. each zero multiplies the number by 10

1000000 books

10^2 pages per book- 100 pages

1,000,000 x 100= 100,000,000

6 0
3 years ago
Write an equation (a) in slope intercept form and (b) in standard form for the line passing through (1,9) and perpendicular to 3
maxonik [38]

Answer:

\large\boxed{a)\ y=\dfrac{5}{3}x+\dfrac{22}{3}}\\\boxed{b)\ 5x-3y=-22}

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\m-slope\\b-y-intercept\\\\\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================\\\\\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope-intercept form.}\\\\3x+5y=1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\5y=-3x+1\qquad\text{divide both sides bvy 5}\\\\y=-\dfrac{3}{5}x+\dfrac{1}{5}\to m_1=-\dfrac{3}{5}

a)\\\\y=m_2x+b\\\\m_1=-\dfrac{3}{5}\to m_2=-\dfrac{1}{-\frac{3}{5}}=\dfrac{5}{3}\\\\\text{Put the value of slope and the coordinates of the given point (1, 9)}\\\text{to the equation of a line:}\\\\9=\dfrac{5}{3}(1)+b\\\\9=\dfrac{5}{3}+b\qquad\text{subtract}\ \dfrac{5}{3}\ \text{from both sides}\\\\\dfrac{27}{3}-\dfrac{5}{3}=b\\\\\dfrac{22}{3}=b\\\\\text{Finally:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}

b)\\\\\text{The standard form of an equation of a line:}\\\\Ax+By=C\\\\\text{Convert the equation}\ y=\dfrac{5}{3}x+\dfrac{22}{3}\ \text{to the standard form:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}\qquad\text{multiply both sides by 3}\\\\3y=5x+22\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+3y=22\qquad\text{change the signs}\\\\5x-3y=-22

6 0
3 years ago
Find two numbers whose sum is 18 who’s difference is 22
wel

Answer:

The Answer is: The first number is 20 and the second number is -2.

Step-by-step explanation:

Let f = first number and s = second number.

The sum is 18:

f + s = 18

Solve for s:

s = 18 - f

The difference is 22:

f - s = 22

Substitute:

f - (18 - f) = 22

f - 18 + f = 22

2f = 22 + 18

2f = 40

f = 20, the first number.

Solve for s:

s = 18 - f

s = 18 - 20 = -2, the second number.

Proof:

20 + (-2) = 18

20 - 2 = 18

18 = 18

Then:

f - s = 22

20 - (-2) = 22

20 + 2 = 22

22 = 22

Hope this helps! Have an Awesome Day!! :-)

4 0
3 years ago
number A is 4676. Number B is 10043 greater than A. Number C is 2610 less than B. What is the total value of numbers A,B and C?
Elanso [62]
12109 is the answer to your question
3 0
3 years ago
Read 2 more answers
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