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4x − 3 = 21

9514 1404 393

Answer:

Step-by-step explanation:

If we assume that the segment marked (2x+1) is a midsegment, then it is half the length of the parallel base:

  2(2x+1) = 8x-2

  4x +2 = 8x -2 . . . . eliminate parentheses

  4 = 4x . . . . . . . . . . add 2-4x to both sides

  1 = x . . . . . . . divide by 4

__

The above assumption makes the two segments marked with z-expressions be the same length:

  3z = z +22

  2z = 22 . . . . . .  subtract z

  z = 11 . . . . . . . . . divide by 2

The values of X and Z are 1 and 11, respectively.

Answer:

No he payed $0.63 per liter.

Step-by-step explanation:

Okay to solve this you would divide the price payed by the number of liters purchased. So 7.58/12. When we divide this, we get 0.631666667. Rounded this is 0.63. So no he did not pay 0.62.

Answer:

78

Step-by-step explanation:

Can you give me brainliest please

Answer:

Give somuchcringe321 brainliest

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...

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:

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:

[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:

c

Step-by-step explanation:

(2x²)³ = 2³(x^(2×3))

=2³x⁶

=8x⁶

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:

So for..

a. from: 2   to: 4

b. from: 0   to: 2      ( I believe this one, may be incorrect- sorry if so)

c. from: 6   to: 10      ( I believe also for this one, sorry if incorrect)

d. from: 5   to: 6       ( I beleive- that is what it looks like- sorry if incorrect)

e.  They are staying at a constant rate, not changing, at rest...

Hope this helps!

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;

https://brainly.com/question/10413253

#SPJ2

Answer:

-5a

Step-by-step explanation:

-5a

Answer: b

Step-by-step explanation:

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:

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

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:

(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:

https://brainly.com/question/17018316

Answer:

x = 3/2−7y/2

Step-by-step explanation:

hope this is correct

Answer:

150

Step-by-step explanation:

z^2. (x-y)

(5)^2. (9-3)

25. 6

150

Answer:

-4+3x/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

a° + 110° = 180° [Linear pair of angles]

a = 180° - 110°

a = 70°

b° + 135° = 180° [Linear pair of angles]

b = 180° - 135°

b = 45°

a + b + c = 180° [Triangle sum theorem]

45° + 70° + c = 180°

c = 180° - 115°

c = 65°

Therefore, a triangle similar to DEF will have an angle that measures 45 degrees, an angle that measures 70 degrees and an angle that measures 65 degrees.

Answer:

Hmmmmmmmmm I think it’s 10....?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

what subjet is this

Step-by-step explanation:

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: