MATHEMATICS MIDDLE SCHOOL

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

x = pens and y = pencils

4x + 5y = 6.71....multiply by 5

5x + 3y = 7.12....multiply by -4

--------------------

20x + 25y = 33.55 (result of multiplying by 5)

-20x - 12y = - 28.48 (result of multiplying by -4)

--------------------add

13y = 5.07

y = 5.07 / 13

y = 0.39 <=== cost of a pencil

4x + 5y = 6.71

4x + 5(0.39) = 6.71

4x + 1.95 = 6.71

4x = 6.71 - 1.95

4x = 4.76

x = 4.76/4

x = 1.19 <==== cost of a pen

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I Need HELP!

how do you figure out 22/7=5/X

Answers

$(22 )/(7)= (5)/(x) \n \n x\neq 0 \n \n 22x=7*5\n \n22x=35 \ \ /:22 \n \nx=(35)/(22)\n \nx=1(23)/(25)$

Kevin draws a figure that has four sides.All sides are the same lengthHis finger has no fight angles.What figure does Kevin draw

Answers

If all four sides are the same length but his finger
has no fight angles, then it's a quadrilateral that is
also a parallelogram and a rhombus.

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I an confused on how to get to 6 cups

Answers

let's firstly convert the mixed fractions to improper fractions.

$\stackrel{mixed}{2(1)/(4)}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}}~\hfill \stackrel{mixed}{1(1)/(2)} \implies \cfrac{1\cdot 2+1}{2} \implies \stackrel{improper}{\cfrac{3}{2}} \n\n[-0.35em] ~\dotfill$

$\begin{array}{ccll} \stackrel{popcorn}{cups}&\stackrel{tspoons}{kernel}\n \cline{1-2} (9)/(4)&(3)/(2)\n[1em] 6&x \end{array}\implies \cfrac{~~ ( 9 )/( 4 ) ~~}{6}~~ = ~~\cfrac{~~ ( 3 )/( 2 ) ~~}{x}\implies \cfrac{~~ ( 9 )/( 4 ) ~~}{(6)/(1)}~~ = ~~\cfrac{~~ ( 3 )/( 2 ) ~~}{(x)/(1)} \n\n\n \cfrac{9}{4}\cdot \cfrac{1}{6}=\cfrac{3}{2}\cdot \cfrac{1}{x}\implies \cfrac{9}{24}=\cfrac{3}{2x}\implies \cfrac{3}{8}=\cfrac{3}{2x} \n\n\n 6x=24\implies x=\cfrac{24}{6}\implies \boxed{x=4}$