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labwork [276]
3 years ago
5

To prepare for a party, Mark buys a small bunch of balloons for $4.00 and

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

15

Step-by-step explanation:

4+3.85x=61.75

3.85x=57.75

x=15

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1/2r -3= 3 (4-3/2r) solve for r
s2008m [1.1K]

1/2r -3= 3 (4-3/2r) is to be solved for r.


I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.


Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .

Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:


r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r


Now expand the right side, using the distributive property of

r - 3 = 24 - 9r


Regrouping so as to combine like terms:


10r = 30


Solving for r: r = 30/10 = 3


The value of r that satisfies this equation is 3

8 0
3 years ago
Find the length of the leg a of a right triangle with leg length b = 21.5 inches and the hypotenuse c = 31.9 inches. Use a calcu
mylen [45]

The length of the leg a of the right triangle is obtained by applying the Pythagorean theorem which is given as:

\text{opposite}^2+adjacent^2=hypothenus^2

Thus, we have that:

a^2+b^2=c^2

Given that b = 21.5 inches and c = 31.9 inches, we now have:

a^2+(21.5)^2=(31.9^2)a^2+462.25=1017.61a^2=1017.61-462.25a^2=555.36\begin{gathered} a=\sqrt[]{555.36}=23.57 \\ \Rightarrow a=23.6\text{ inches (to one decimal place)} \end{gathered}

Therefore, the length of the leg a of the right triangle is 23.6 inches

4 0
1 year ago
What is 8,029 divided by 20
dezoksy [38]

Answer:401.45

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
68 more than eight times a number is greater than 7 times the number what numbers satisfy this inequality
JulsSmile [24]

Answer:

x > -68

Step-by-step explanation:

68 + 8x > 7x

x > -68

7 0
2 years ago
Find the slope between (6,-9) and (-2,8).
Zina [86]

Answer:

-17/8

Step-by-step explanation:

8-(-9)=17

-2-6=-8

17/-8

3 0
3 years ago
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