2/3 + 9/12 add fractions with unlike denominators

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.

Learn more about equations here;

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Answer:

-4+3x/2

Step-by-step explanation:

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:

85,000

Step-by-step explanation:

(5 square) *34* (10 square)

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

(2x²)³ = 2³(x^(2×3))

=2³x⁶

=8x⁶

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].

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:

x = 3/2−7y/2

Step-by-step explanation:

hope this is correct

Answer:

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

Answer:

what subjet is this

Step-by-step explanation:

Answer:

[tex]a^{2} (a+3) = 20\\OR\\a^3 +3a^2 -20 = 0[/tex]

Step-by-step explanation:

Given that:

There is a square prism which has height equal to 3 yards longer than that of the base of the prism.

Let the base of prism = [tex]a[/tex] units

As per question statement:

Height, [tex]h = (a+3)[/tex] units

Volume of the prism = 20 cubic yards

Now, we have to find a representative function that will represent the volume of the solid.

First of all, let us have a look at the formula for volume of a prism.

[tex]V = B\times h[/tex]

Where, [tex]B[/tex] is the area of base and

[tex]h[/tex] is the height of prism.

And the base is a square, whose area will be represented as:

[tex]B = Side \times Side[/tex]

Now, putting the values in the formula for Volume:

[tex]V = a^2(a+3) = 20\\OR\\a^3+3a - 20 =0[/tex]

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

Learn more here:

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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:

78

Step-by-step explanation:

Can you give me brainliest please

Answer:

Give somuchcringe321 brainliest

Step-by-step explanation:

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:

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:

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:

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:

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.

Answer:

Larry spends $22.96 total with the tax

I'm not sure if this is correct of not