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Stells [14]
3 years ago
9

Step by step method on how to solve the problem. Please and thanks a lot in advance♥️!!!!

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

see attached picture

answer is (x-2)

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One teacher wants to give each student 2/3 of a slice of pizza . If the teacher has 4 slices of pizza how many students will rec
Deffense [45]

Answer: 6 students

Step-by-step explanation:

The teacher wants to give each student 2/3 of a slice of pizza but only has 4 slices to give.

If each student gets 2/3 out of 4 slices, the number of students receiving will be:

= Slices / proportion per slice

= 4 / 2/3

= 4 * 3/2

= 12/2

= 6 students

5 0
3 years ago
Three consecutive odd integers have a sum of 27. Find the integers.
jek_recluse [69]

\sf \bf {\boxed {\mathbb {GIVEN:}}}

Sum of three consecutive odd integers = 27

\sf \bf {\boxed {\mathbb {TO\:FIND:}}}

The values of the three integers.

\sf \bf {\boxed {\mathbb {SOLUTION:}}}

\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

Let us assume the three consecutive odd integers to be x, (x+2) and (x+4).

As per the condition, we have

Sum \:  \:  of \:  \:  the  \:  \: three \:  \:  consecutive \:  \:  odd \:  \:  integers  = 27

➺ \: x + (x + 2) + (x + 4) = 27

➺ \: x + x + 2 + x + 4 = 27

Now, collect the like terms.

➺ \: (x + x + x) + (2 + 4) = 27

➺ \: 3x + 6 = 27

➺ \: 3x = 27 - 6

➺ \: 3x = 21

➺ \: x =  \frac{21}{3} \\

➺ \: x = 7

Therefore, the three consecutive odd integers whose sum is 27 are \boxed{  7  }, \boxed{ 9   } and \boxed{ 11   } respectively.

\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}

⇢ 7 + 9 + 11 = 27

⇢ 27 = 27

⇢ L. H. S. = R. H. S.

\sf\blue{Hence\:verified.}

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

4 0
3 years ago
Nancy drives 624 miles in 10 hours, driving the same number of miles each hour. Rebecca drives 660 miles in 12 hours, driving th
olya-2409 [2.1K]

Which statements are true about the ordered pair  <span>(−1, 5)</span> and the system of equations?

<span>{<span><span>x+y=4          </span><span>x−y=−6</span></span></span>

Select each correct answer.

<span>The ordered pair  <span>(−1, 5)</span> is a solution to the first equation because it makes the first equation true.The ordered pair  <span>(−1, 5)</span> is a solution to the second equation because it makes the second equation true.The ordered pair  <span>(−1, 5)</span> is not a solution to the system because it makes at least one of the equations false.The ordered pair  <span>(−1, 5)</span> is a solution to the system because it makes both </span>
6 0
3 years ago
Use the arc length formula and the given information to find r. Show your work for full credit. s = 8.1 ft θ = (3.14/3)rad r = ?
VladimirAG [237]
This question is simple I'm a little confused on the specifics so I will try my best to help.

s=θ(r)
arc length = angle x radius
2.46888m(or 8.1 ft) = (π/3) x r
r =  (\pi /3)/2.46888
r = .425m
4 0
3 years ago
Read 2 more answers
What is the symbol for scale factor?
wariber [46]

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

3 0
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