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timama [110]
3 years ago
15

What number when substituted for the variable, makes the equation 4/5x = 20 true?

Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
25
but im bad sooooooooo
ivolga24 [154]3 years ago
3 0
Sent a picture of the solution to the problem (s).

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How do I solve this using the substitution method 3x+2y=9 x-5y=4
Harlamova29_29 [7]

\bf \begin{cases} 3x+2y=9\\ x-5y=4 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{solving the 2nd equation for "y"}}{x-5y = 4\implies x-4-5y=0}\implies x-4=5y\implies \cfrac{x-4}{5}=y \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{3x+2\left(\cfrac{x-4}{5} \right) = 9}\implies 3x+\cfrac{2(x-4)}{5}=9 \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5\left( 3x+\cfrac{2(x-4)}{5} \right)=5(9)}\implies 15x+2(x-4)=45

\bf 15x+2x-8=45\implies 17x-8=45\implies 17x=53\implies \boxed{x=\cfrac{53}{17}} \\\\\\ \stackrel{\textit{we know that}}{\cfrac{x-4}{5}=y}\implies \cfrac{\left(\frac{53}{17} -4 \right)}{5}=y\implies \cfrac{\left(\frac{53-68}{17} \right)}{5}=y\implies \cfrac{~~\frac{-15}{17}~~}{5}=y \\\\\\ \cfrac{~~\frac{-15}{17}~~}{\frac{5}{1}}=y\implies \cfrac{-15}{17}\cdot \cfrac{1}{5}=y\implies \boxed{-\cfrac{3}{17}=y} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \left( \frac{53}{17}~~,~~-\frac{3}{17} \right)~\hfill

8 0
3 years ago
Read 2 more answers
There are 19 boxes of cherries. This is 5 less than twice the number of boxes of kiwis. How many boxes of kiwis are there?
sasho [114]
All you have to do is 19+5 because it is 5 less. 19 is 5 less than the kiwis. so 19+5= 24.  


There is 24 boxes of kiwis
8 0
3 years ago
Read 2 more answers
Write an equation of the line that is perpendicular to y = 1/2
atroni [7]

Answer:

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

= -5 = -2x + 15

Step-by-step explanation:

Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).

Using the slope intercept equation,

y = mx +c

m = slope = 1/2

For two lines to be perpendicular, the product of their slopes is -1

Let the slope of the other line be m2

m1×m2 =-1

1/2×m2 = -1

m2 = -1/(1/2) = -2

Slope of line = -2

For points (10, -5), x = 10, y =-5

-5 = -2× 10 +c

-5 = -20+ c

c = -5+20= 15

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

-5 = -2x + 15

6 0
3 years ago
Write the prime factorization of the number 144 243 475
postnew [5]

18. There are Personal Muth Trainer library. The 318 fiction books in the class ne number number of nonfiction books is 47 less than of fiction books. Part A About how many nonfiction books are there in the class library? Explain. Part B How many fiction and nonfiction books are there in the class library altogether? Show your work.
4 0
3 years ago
60 POINTS FOR THE THISS!!!
Goryan [66]
Yes because they are constant throughout the table.
4 0
3 years ago
Read 2 more answers
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