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Liula [17]
3 years ago
12

Solve 8z + 12 = 5z − 21

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0
z = -11

Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11

Hope this helps you! (:
-Hamilton1757
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In a young woman's study group, 7 percent of the students are from the town where the young woman's school is located, 80 percen
Umnica [9.8K]

Answer: the percent of study group students from outside the state is 13%

Step-by-step explanation:

The total number of students in the young woman's study group that are from the town where the young woman's school is located is 7%

The total number of students in the young woman's study group that are from in-state (but not from the school's town) is 80%.

Since the rest are from outside the state, the percent of study group students from outside the state would be

100 - (80 + 7) = 100 - 87 = 13%

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3 years ago
 The denominator of a fraction in simplest form is greater than the numerator by 3. If 7 is added to the numerator, and 5 added
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So.. if we take the numerator to be say "a", then the denominator will be "a+3"

\bf \cfrac{a}{a+3}\textit{ if we add }\frac{1}{2}\textit{ we get then }\cfrac{a+7}{a+3+5}
\\\\\\
thus\implies \cfrac{a}{a+3}+\cfrac{1}{2}=\cfrac{a+7}{a+8}\\\\
-----------------------------\\\\
\cfrac{a+3+2a}{2(a+3)}=\cfrac{a+7}{a+8}\implies \cfrac{3a+3}{2a+6}=\cfrac{a+7}{a+8}
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3a^2+24a+3a+24=2a^2+14a+6a+42
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a^2+7a-18=0\implies (a+9)(a-2)=0
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a=
\begin{cases}
2\implies &\frac{2}{5}\\\\
-9\implies &\frac{3}{2}
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either of those two fractions will do
4 0
3 years ago
the number of kilograms of water in human body varies directly as the mass of the body. a 96 kg of water. how many kilograms of
sattari [20]
90milgrams so add and subtract your answer
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Nady [450]
Sector area= theta/360 x πr^2

Radius= 24/2= 12

Sector area= 120/360 x π(12)^2

Final answer :

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3 0
2 years ago
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qwelly [4]

Answer:

(C)72.4 in

Step-by-step explanation:

Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.

Consider the attached diagram

AB=BC=x

However to be able to solve for x, we form a right triangle with endpoints A and C.

Since the hypotenuse is always the longest side in a right triangle

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Therefore, the smallest possible perimeter of the triangle

Perimeter=2x+30

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=42.42+30

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4 0
3 years ago
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