there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus

Answer:

[tex]73\:\mathrm{dimes},\\35\:\mathrm{nickels}[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}10d+5n=905,\\d+n=108,\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.

Multiply the second equation by [tex]-5[/tex] and add both equations to solve for [tex]d[/tex]:

[tex]\begin{cases}10d+5n=905,\\-5d-5n=-540,\\\end{cases}\\5d=365,\\d=\fbox{$73$}[/tex].

Plug [tex]d=73[/tex] into any equation to solve for [tex]n[/tex]:

[tex]73+n=108, \\n=\fbox{$35$}[/tex]

There are 73 dimes and 35 nickels.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins,

dime = 10

A nickel = 5

We can write the following system of equations;

10D + 5N = 905

N + D = 108 coins

where D is the number of dimes she has and  N is the number of nickels she has.

Multiply the second equation by -5  and add both equations to solve for :

10D + 5N = 905

-5N -5 D = -540 coins

Use the Distributive Property:

Add the like terms:

5D = 365

Divide both sides by 5

D = 73

Plug  D into any equation to solve for N

Nickels = 108 - 73 = 35

There are 73 dimes and 35 nickels.

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Answer:

[tex]6400\ \text{N}[/tex]

Step-by-step explanation:

[tex]\dfrac{m}{t}[/tex] = Mass flow rate of water = 320 kg/s

[tex]m[/tex] = Mass of water on the door

[tex]t[/tex] = Time

[tex]v[/tex] = Velocity of water on the door = 20 m/s

Force is given by

[tex]F=\dfrac{m}{t}v\\\Rightarrow F=320\times 20\\\Rightarrow F=6400\ \text{N}[/tex]

The average force is exerted by the stream of water is [tex]6400\ \text{N}[/tex].

Answer:

Every year, my aunt Yannah makes 4 Pumpkin Pies for thanksgiving. She always cuts them into 8th's for all of us and for me and my family to share. This year, only 3/8 was eaten of each Pumpkin Pie. I want to know how much of the Pumpkin Pie was eaten, and if my aunt Yannah should make less pie next year? 

That is the story ^

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ANSWER: 12/8

Answer:

c

Step-by-step explanation:

(2x²)³ = 2³(x^(2×3))

=2³x⁶

=8x⁶

Answer:

5/8 or 0.625

Step-by-step explanation:

first you'll subtract 1x from the left and subtract 2 from the right

1x+7=9x+2

-1x .   -1x

7=8x+2

-2    -2

5=8x

divide this by 8

5/8 or 0.625

Answer:

X = 4

Step-by-step explanation:

6x + 3 = 27

Subtract the 3 from 3 and 27, you end up with 6x = 24

Divide 24 with 6

You should end up with 4

X=4

I hope this helps you out!

Answer:

(502)2 - (498)2

Step-by-step explanation:

(502)2 - (498)2

Solution:

(502)2 -(498)2

Since the given algebraic expression is in the form of a2 – b2 so, here we will directly apply the formula a2 - b2 = (a + b) (a – b) to evaluate the difference of two squares.

The difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).

It is evaluated as: 104² - 96² = 1,600

Recall:

The difference of two squares, i.e. x² - y², can be expressed and evaluated as;

Given:

104² - 96²

The difference can be expressed and evaluated as shown below:

104² - 96² = (104 - 96)(104 + 96)

104² - 96² = (8)(200)

Therefore, the difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).

It is evaluated as: 104² - 96² = 1,600

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Answer:

h = 14.49 feet.

Step-by-step explanation:

From the attached figure,

Base = 14 ft

Height = h

Angle = 46°

We need to find the height of the main sail. To find it we can use trigonometry.

The relation between height, base and angle is given by :

[tex]\tan\theta=\dfrac{\text{Height}}{\text{Base}}\\\\\tan(46)=\dfrac{h}{14}\\\\h=\tan(46)\times 14\\\\h=14.49\ ft[/tex]

So, the height of the main sail is 14.49 feet.

Answer:

3*6+5= 23

Step-by-step explanation:

Answer:

whichever one corresponds with the answers you have will be right.

Answer:

x=-5

y=4

(-5,4)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−5,4)

Answer:

R = 10%/year

Equation:

r = (1/t)(A/P - 1)

Solving our equation:

r = (1/10)((1200/600) - 1) = 0.1

r = 0.1

Converting r decimal to R a percentage

R = 0.1 * 100 = 10%/year

The interest rate required to get a total amount, principal plus interest, of $1,200.00 from simple interest on a principal of $600.00 over 10 years is 10% per year.

Step-by-step explanation:

so he has 600 $ saving then if he has 1,200 total in the bank

Answer:

Larry spends $22.96 total with the tax

I'm not sure if this is correct of not

Answer:

what subjet is this

Step-by-step explanation:

Answer:

68k -54

Step-by-step explanation:

We will have to distribute the 9 first

-4k - 9(-8k + 6)​

-4k + 72k - 54     (now we can combine the like terms)

68k -54               (since we can't simplify anything else it's done)

Answer:

a) 100,  b) 1000

Step-by-step explanation:

First Answer:

5.2/x = 0.052

x = 5.2/0.052

x = 100

Second Answer:

7650/x = 7.65

x = 7650/7.65

x = 1000

Answer:

A). 100

B). 1000

Step-by-step explanation:

YOU CAN SEE EXPLANATION IN IMAGES.

HOPE THIS HELPS YOU...

Answer:

t = 6 s

Step-by-step explanation:

Given that,

Sherry is driving 390 miles to visit The gateway arch in St. Louis.

She drives at an average rate of 65 miles per hour.

We need to find the amount of time it will take Sherry to get to the arch. Let the time is t.

Speed = distance/time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{390}{65}\\\\t=6\ h[/tex]

Hence, it will take 6 hours to get to the arch.

Answer:

-4+3x/2

Step-by-step explanation:

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

Answer:

7/10 and 7/8 are both less than 1.

Step-by-step explanation:

The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.

Question in English:

Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?

Plzzzzz give me Brainliest!!!!!  

Answer:

1920

Step-by-step explanation:

Each time you multiply by to 6 times. 30 does not count as a year.