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3 years ago

Using Angle Relationships to Solve Equations

Mathematics

1 answer:

Art [367]3 years ago

8 0

Answer:

x+x+4+3x-9=90

5x-5=90

5x=95

x=19

9. 19

10. 19+4=23

11. 3×19-9=48

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Find the interest rate r given I=$ 56,P=450 and t = 6 years , round your answer to the nearest

m_a_m_a [10]

Answer:

0.163

Step-by-step explanation:

P = I (1 + r)ᵗ

450 = 56 (1 + r)⁶

8.036 = (1 + r)⁶

log₆ 8.036 = 1 + r

log 8.036 / log 6 = 1 + r

1.163 = 1 + r

r = 0.163

5 0

3 years ago

B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature

tino4ka555 [31]

It would be -7f degrees because -14-7 would equal -7

3 0

4 years ago

Read 2 more answers

At a movie theater, admission tickets cost $10 for adults and $8 for children. On Saturday, Anne Teak collected a total of $1276

kow [346]

Answer:

Part a) variable x (the number of adult tickets sold) and variable y (the number of child tickets sold)

Part b) $10x+8y=1,276$

Part c) The number of adult tickets sold was 86

Step-by-step explanation:

Part a) Name a variable for the number of adult tickets sold and name a variable for the number of child tickets sold

Let

x -----> the number of adult tickets sold

y -----> the number of child tickets sold

Part b) Write an equation in two variables to model the problem

we know that

$10x+8y=1,276$ -----> equation A

$y=52$ -----> equation B

substitute equation B in equation A and solve for x

$10x+8(52)=1,276$

$10x+416=1,276$

Part c) Using your equation in Part B, solve the problem and answer the question "how many adult tickets did Anne sell?" i

we have

$10x+416=1,276$

Solve for x

Subtract 416 both sides

$10x=1,276-416$

$10x=860$

$x=86$

therefore

The number of adult tickets sold was 86

7 0

4 years ago

What is the sample space for a single toss of a number cube?

valina [46]

Answer:

Step-by-step explanation:

-A sample space is statistically defined as the possible number of outcomes.

-A cube has a total of six sides.

-The result of each toss can result in any one of the 6 faces with equal probability.

-The sample space is therefore 6

6 0

4 years ago

The value of x in the equation log(x-1)9=2 is

mel-nik [20]

$\log_{(x-1)} 9=2$

the domain:
$x-1 >0 \ \land \ x-1 \not=1 \\
x>1 \ \land \ x \not= 2 \\
x \in (1; 2) \cup (2;+\infty)$

the equation:
$\log_{(x-1)}9=2 \\
(x-1)^2=9 \\
\sqrt{(x-1)^2}=\sqrt{9} \\
|x-1|=3 \\
x-1=3 \ \lor \ x-1=-3 \\
x=4 \ \lor \ x=-2$

4 is in the domain
-2 is not in the domain

The answer:
$x=4$

***
Also, the answer in 13 is {8}. -3 is not in the domain. Replace x with -3 and you'll see:
$x=\sqrt{5x+24} \\
-3=\sqrt{5 \times (-3)+24} \\
-3=\sqrt{-15+24} \\
-3=\sqrt{9} \\
-3=3$
It's not true so -3 isn't a solution to this equation.

4 0

3 years ago

Read 2 more answers