What is the solution set of the equation?

How much money do you have if you have 3 one-dollar bills, 2 half dollars, 5 quarters, 6 dimes, 2 nickels, and one penny.

Advocard [28]

Answer:

$5.91

Step-by-step explanation:

3+2*0.50+5*0.25+6*0.10+2*0.05+0.01=$5.91

7 0

3 years ago

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object st

sergiy2304 [10]

Answer:

I think it is b

Step-by-step explanation:

7 0

3 years ago

Brianna has 4 pink bracelets. One third of all her bracelets are pink. How many bracelets does brianna have?

aivan3 [116]

Hey there!

Let's first evaluate this problem, and the keyword we need to use. The problem says that out of the total number of bracelets Brianna has, x, 1/3 of them are pink. The reason the word of is so important throughout math is that it signifies multiplication. For example, 1/2 of 10 is 5 because 1/2 times 10 is 5.

Now, to apply that to this situation, we need to create an equation, a mathematical statement that indicated the equilibrium or equality of two values. Since we have 1/3 of all her bracelets, x is four, we can set up our equation. Here's another good keyword- is. Is signifies an equation, because it means "equal to" mathematically. For example, 5 is equal to 20/4.

We have:

1/3(x) = 4

(One-third of x, the total amount of bracelets, is four.)

We don't want that fraction there. In order to get rid of it and keep the expression equal, we multiply both sides by 3. We have,

x = 12

Hope this helps!

8 0

3 years ago

Please help!

Paraphin [41]

#1) A
#2) E
#3) C
#4) 0.5840
#5) 0.6945
#6) 0.4911
#7) D
#8) G
#9) 0.4375
#10) 0.5203

The formula we use for this is
$v_w=f\lambda$ ,
where $v_w$ is the speed of sound, f is the frequency (or pitch) of the note, and λ is the wavelength.

#1) 0.77955f = 343

Divide both sides by 0.77955:
0.77955f/0.77955 = 343/0.77955
f = 439.997 ≈ 440. This is the pitch for A.

#2) 0.52028f = 343
Divide both sides by 0.52028, and we get f = 659.260. This is the pitch for E.

#3) 0.65552f = 343
Divide both sides by 0.65552, and we get f = 523.25. This is the pitch for C.

#4) 587.33λ = 343
Divide both sides by 587.33 and we get λ = 0.583999 ≈ 0.5840.

#5) 493.88λ = 343
Divide both sides by 493.88, and we get λ = 0.6945.

#6) 698.46λ = 343
Divide both sides by 698.46 and we get λ = 0.49108 ≈ 0.4911.

#7) 0.5840f = 343
Divide both sides by 0.5840 and we get f = 587.3288 ≈ 587.33. This is the pitch for D.

#8) 0.4375f = 343
Divide both sides by 0.4375 and we get f = 784. This is the pitch for G.

#9) 783.99λ = 343
Divide both sides by 783.99 and we get λ = 0.4375.

#10) 659.26λ = 343
Divide both sides by 659.26 and we get λ = 0.52028 ≈ 0.5203.

6 0

2 years ago

Due to the economy and not wanting to eliminate any jobs, all state employees were asked to accept a 4.5% reduction in their sal

jeka94

Answer: The secretary's salary prior to the reduction was $42,000.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)

Mathematically speaking:

x (4.5/100)= 1890

Solving for x:

x (0.045)= 1890

x = 1890/ 0.045

x = 42,000

The secretary's salary prior to the reduction was $42,000.

7 0

2 years ago