Answer: 5/8
Step-by-step explanation: The ratio is 10:16 because total of 16 pens and 10 being red.
Answer:
y=
1
2
x;−3y=4+
1
2
x
Rewrite equations:
y=
1
2
x;−3y=
1
2
x+4
Step: Solvey=
1
2
xfor y:
y=
1
2
x
Step: Substitute
1
2
xforyin−3y=
1
2
x+4:
−3y=
1
2
x+4
−3
1
2
x=
1
2
x+4
−3
2
x=
1
2
x+4(Simplify both sides of the equation)
−3
2
x+
−1
2
x=
1
2
x+4+
−1
2
x(Add (-1)/2x to both sides)
−2x=4
−2x
−2
=
4
−2
(Divide both sides by -2)
x=−2
Step: Substitute−2forxiny=
1
2
x:
y=
1
2
x
y=
1
2
(−2)
y=−1(Simplify both sides of the equation)
Answer:
x=−2 and y=−1
Step-by-step explanation:
Sorry if it is too confusing
13 gallons in 14 minutes. The unit rate is..
.921 gallons in a minute. if your multiplying by 4. that would equal 3.684. which is rounded to 3 gallons.
Answer:
-6
Step-by-step explanation:
Move the variable to the left hand side and change its sign.
5 - 2x + 4x = -7
Collect like terms.
- 2x + 4x = - 7 - 5
2x = - 7 - 5
Calculate the difference.
2x = -12
Divide both sides.
x = -6
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
