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4 years ago

Score: U of 1 pt

Mathematics

2 answers:

fredd [130]4 years ago

6 0

Answer:

x+y =90

x-y=42

2x=132

x=66

y=24

Anit [1.1K]4 years ago

5 0

Answer:

24° and 66°

Step-by-step explanation:

Complementary angles sum to 90°

let the larger angle be x then the smaller angle is x - 42 and their sum is

x + x - 42 = 90, that is

2x - 42 = 90 ( add 42 to both sides )

2x = 132 ( divide both sides by 2 )

x = 66 and x - 42 = 66 - 42 = 24

The smaller angle is 24° and the larger angle is 66°

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jarptica [38.1K]

Answer:

3 gallons

Step-by-step explanation:

Let

x ----> the amount of pure acid (100% solution) in gallons

Remember that

$100\%=100/100=1$

$20\%=20/100=0.20$

$60\%=60/100=0.60$

we know that

$(1)(x)+(0.20)(3)=(0.60)(x+3)$

solve for x

$x+0.60=0.60x+1.80$

$x-0.60x=1.80-0.60\\0.40x=1.20\\x=3\ gal$

therefore

3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in order to get a 60% acid solution

7 0

3 years ago

Molly invested $50,000 in various stocks

fgiga [73]

Answer:

$10,000

Step-by-step explanation:

Let b represent the amount invested in bonds. Then 50,000 - b wil be the amount invested in stocks. Molly's total return is ...

0.15b + 0.18(50000-b) = 8700

-0.03b +9000 = 8700 . . . . simplify

300 = 0.03b . . . . . . . . . . . . add .03b-8700

10,000 = b . . . . . . . . . . . . . divide by 0.03

Molly invested $10,000 in bonds.

3 0

3 years ago

- 18/25 as a desimal? <br> A: -0.72<br> B: -0.28<br> C: 1.07<br> D: 1.38

sladkih [1.3K]

Answer:

-0.72 (A)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write the expression 2i^15-i^7 in the standard form a + bi

elixir [45]

$\bf 2i^{15}-i^7\qquad 
\begin{cases}
i^2=\sqrt{-1}\cdot \sqrt{-1}\implies \sqrt{(-1)^2}\implies -1\\\\
i^4=i^2\cdot i^2\implies -1\cdot -1\implies 1
\end{cases}\\\\
-----------------------------\\\\
2i^{4+4+4+2+1}-i^{4+2+1}\implies 2i^4i^4i^4i^2i^1-i^4i^2i^1
\\\\\\
(2\cdot 1\cdot 1\cdot 1\cdot -1\cdot i)-(1\cdot -1\cdot i)\implies -2i-(-i)
\\\\\\
-2i+i\implies -i\implies \boxed{0-i}$

7 0

3 years ago

The lengths of two sides of a triangle are 3 inches in 8 inches find the range of possible links for the third side S

damaskus [11]

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.

2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore 5 < a ≤ 8

3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.

<h3>Answer: 5 < a < 11 → S = (5, 11)</h3>

5 0

4 years ago