What is the steps for solving 3x-10=84 and tell me what x equals

Let's label the number you're trying to find x. You have to set up a system of equations.

1. Five times a number can be labeled as 5x.

2. Subtracted from 20 gives us 5x-20.

3. The problem says this is the same as simply tripling the original number. So set the first equation equal to 3x.

4. 5x-20=3x

5. Move like terms onto the same side. We can do this by subtracting 3x from both sides and adding 20 to both sides.

6. 5x-3x=20

7. 2x=20

8. Divide both sides by 2 to get x by itself.

Answer: x=10

The number is 2.5.

Let the number is = x.

According to the question:

20 - 5x = 3x

Add 5x.

20 = 5x + 3x

20 = 8x

Divide by 8.

x = 20/8 = 2.5

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Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

(-3,4) it shows that -3 =x and 4 =y

2x + y ≥ -2

Inserting both values into the equation

2(-3) + 4

-6 +4

-2

Answer confirms equation

Answer:

7x + 14y

Step-by-step explanation:

7(x + 2y)

Multiply 7 by the values inside the parenthesis (x + 2y)

7x + 14y

Hope this helps :)

Good evening ,

Answer:

Step-by-step explanation:

From the table :

f(x) = g(x) only when x = -1 then -1 is the only solution

f(-1) = 9 = g(-1)

note : the equation could have some other solutions not shown in the table

:)

Answer:

The third dot

Step-by-step explanation:

I did this question before :)

Answer:

10 black- 10/20 - 50%

8 red- 8/20 - 40%

2 white - 2/20 -10%

Step-by-step explanation:

The total number of balls = 10 + 8 + 2 = 20 balls

probability of black balls = 10/20 = 50%

probability of red balls = 8/20 = 40%

probability of white balls = 2/20 = 10%

the three probabilities:

probability that the ball is one of the three colors = (10/20) + (8/20) + (2/20)

                                                                              = 1 = 100%

Answer:

5u - 20

Step-by-step explanation:

(u - 4)5

Multiply

5u - 20

Hope this helps :)

Answer:

Explanation:

The complement of a subset is the subset of elements that are not in the given subset.

You must know which numbers the spinner has.

Assuming the spinner has the numbers 1, 2, 3, 4, the complement of spinning any number less than 3, is spinning a number that is not less than 3.

Then, that is spinning a number that is equal to or greater than 3.

The numbers that are equal to  or greater than four, for a spinner that has the numbers 1, 2, 3, and 4 are 3 and 4.

Thus, the complement of spinning any number less than 3 is spinning a three or a four.

Answer:

C

Step-by-step explanation:

Answer:

[tex]a=\dfrac{1}{2}\\ \\b=-3\\ \\c=0[/tex]

Step-by-step explanation:

The general form of the quadratic equation is

[tex]ax^2+bx+c=0[/tex]

You are given the quadratic equation

[tex]0=\dfrac{1}{2}x^2-3x[/tex]

It can be rewritten in standard form as

[tex]\dfrac{1}{2}x^2-3x=0[/tex]

Hence,

[tex]a=\dfrac{1}{2}\\ \\b=-3\\ \\c=0[/tex]

Answer:

The answer is given in the graph attached.

Step-by-step explanation:

i) The answer is given in the graph attached.

Answer:

2:3

Step-by-step explanation:

Answer:

2min :3min

Step-by-step explanation:

8 min divided by 4 =2

12 min divided by 4 =3

Answer: the formula is

(-4) + (-5) = -9

(-9) + (-5) = -14

Step-by-step explanation:

Answer:

an  = 1 − 5n

Explanation:

a1  = 1 − 5 (1) = −4

a2  = 1 − 5 (2) = −9  

a3  = 1 − 5 (3) = −14

For this case we have that by definition, a linear equation is of the form:

[tex]ax + b = 0[/tex]

The variable (s) involved in the equation always have exponent 1.

Some examples of linear equations are:

[tex]x + 5 = 3y\\y + 6 = 3x\\y = 2x + 2[/tex]

Answer:

In a linear equation the variables have exponent 1.

[tex]y = 2x + 2[/tex]

Two sevenths over two fifths = five over seven mile per hour

The unit rate is 5 over 7 miles per hour

Solution:

Given that, Suzanna walked two over seven of a mile in two over five of an hour

We have to find the unit rate in miles per hour

Unit rate means number of miles covered in 1 hour

From given information,

Two over seven of a mile in two over five of an hour

Which means,

[tex]\frac{2}{7} \text{ miles } = \frac{2}{5} \text{ hour }[/tex]

[tex]\text{ So she covered } \frac{2}{7} \text{ miles in } \frac{2}{5} \text{ hour }[/tex]

To find for number of miles covered in 1 hour, divide the [tex]\frac{2}{7} \text{ by } \frac{2}{5}[/tex]

[tex]\text{Unit rate in miles per hour } = \frac{\frac{2}{7}}{\frac{2}{5}}\\\\\text{Unit rate in miles per hour } = \frac{2}{7} \times \frac{5}{2} = \frac{5}{7}[/tex]

Two sevenths over two fifths = five over seven mile per hour

Thus unit rate is 5 over 7 miles per hour

Answer:

two sevenths over two fifths = five over seven mile per hour

Step-by-step explanation:

two sevenths over two fifths = five over seven mile per hour

Answer:

5

(

2

x

+

7

)

Step-by-step explanation:

Answer: 5 (2x-7)

Step-by-step:

Answer:

Center (h, k) = (0, 6)

Radius, r = 3 units

Step-by-step explanation:

The given equation of the circle is: [tex]$ x^2 + y^2 + 12y + 27 = 0 $[/tex]

STEP I: Move the constant term to the right hand side.

To do that we subtract 27 on both the sides, we get:

[tex]$ x^2 + y^2 + 12y = -27 $[/tex]

STEP II: Divide the co - effecient of 'x' by 2 and square it.

Here there is no 'x' term. Its co-effecient is 0.

STEP III: Add the result on both sides.

Since, we got 0 in the previous step, there would no change in the equation

STEP IV: We repeat the process for 'y'.

Here, the co-effecient of 'y' is: 12.

Dividing by 2 and squaring it will yield:

[tex]$ \frac{12}{2} = 6; \hspace{5mm} 6^2 = 36 $[/tex]

STEP V: Adding 36 to both the sides of the equation, it becomes:

[tex]$ x^2 + y^2 + 12y + 36 = -27 + 36 $[/tex]

[tex]$ \implies x^2 + y^2 + 12y + 36 = 9 $[/tex]

We have arrived at perfect squares.

STEP VI: Write in the form of perfect squares.

[tex]$ (x - 0)^2 + (y - 6)^2 = 3^2 $[/tex]

STEP VII: Compare it with the standard form.

[tex]$ (x - h)^2 + (y - k)^2 = r^2 $[/tex]

We get: The centre of the circle: (h, k) = (0, 6) and

the radius of the circle, r = 3 units.

Answer:

Answer: The perimeter of the red polygon is 26 cm.

Step-by-step explanation:

Answer:

Tangents from an external point are equal. This can be used to find the perimeter

Perimeter = 22+22+22+22+27+27+98+98

= 338 in.

Hope this helps!

Answer:

x=-2

Step-by-step explanation: I gotchu

1. You first apply the -3 to (3x-2) which makes the equation -9x+6=24

2. Then, to isolate "-9x", you subtract 6 from both sides to make the equation -9x=18

3. Lastly, to isolate "x", you divide both sides by -9 which would make x=-2

Step-by-step explanation:

We are asked to draw a triangle.

The information we are given with is AB is a line segment with length 3.9 cm.

∠CAB = 50°.

∠ABC = 63°.

With the given details we need to draw triangle using given angles. We need protractor and ruler to draw the triangle.

Step 1: Draw the line segment of length 3.9 cm using ruler and mark as AB.

Step 2: Using protractor, we need to mark the angle. Keep the center of the protractor at the A and mark with a point at 50°.

Step 3: Draw a line from a passing through the marked point.

Step 4: Repeat step 2 with marking at 63° and step 3 on the other side.

Step 5: Mark the intersection point as C.

Teresa served 33 orders and Charlie served 24 orders and Justin served 96 orders

Solution:

Let "a" be the orders served by Teresa

Let "b" be the orders served by Charlie

Let "c" be the orders served by Justin

Teresa, Charlie, and Justin served a total of 153 orders

Therefore,

a + b + c = 153 -------- eqn 1

Justin served 4 times as many orders as Charlie

Orders served by Justin = 4( orders served by Charlie )

c = 4b ---------- eqn 2

Teresa served 9 more orders than Charlie

orders served by Teresa = 9 + orders served by Charlie

a = 9 + b ----------- eqn 3

Let us solve eqn 1 and eqn 2 and eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

9 + b + b + 4b = 153

9 + 6b = 153

6b = 153 - 9

6b = 144

b = 24

Substitute b = 24 in eqn 3

a = 9 + 24

a = 33

Substitute b = 24 in eqn 2

c = 4(24)

c = 96

Thus Teresa served 33 orders and Charlie served 24 orders and Justin served 96 orders

Answer:

it would be 2x-6

Step-by-step explanation:

since you don't know what the value of "the number" is you would put a variable, x. and there is 2 of this number.

then 6 less would be -6 of this variable.

Answer:

5z+1

Step-by-step explanation:

(3z-4)+(2z+5)

3z-4+2z+5

3z+2z-4+5

5z-4+5

5z+1

Answer:

5z+1

Step-by-step explanation:

3z-4+2z+5

Group like terms

3z+2z+5-4

Simplify

5z+1

Answer:

1.75, 0.4375

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

r = 28 ÷ 112 = 7 ÷ 28 = 0.25

Thus the sequence is geometric.

To obtain a term in the sequence multiply the previous term by 0.25

7 × 0.25 = 1.75

1.75 × 0.25 = 0.4375

The next 2 terms in the sequence are 1.75, 0.4375

Answer:

x=8

Step-by-step explanation:

First you want to distribute -6 to (2x+6) which you will then get -12x-36=-132. Now you want to get x by itself by getting rid of -36, so add 36 on both sides of the equation to get -12x=-96. Isolate x by dividing by -12 on both sides of the equation which will leave you with the equation x=8

The Town Recreation Department ordered 76 baseballs and 24 bats.

Given that, the total number of baseballs = 100, the total purchase = $822, cost of each baseball = $4.50 and the cost of each bat = $20.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let the number of baseballs be x and the number of bats be y.

Now, the total number of items = The number of baseballs + The number of bats

⇒ 100=x+y ------(I)

Total amount = 4.50x+20y

⇒ 4.50x+20y = 822 ------(II)

Solve the obtained equations:

Put x=100-y in the equation 4.50x+20y = 822

We get, 4.50(100-y)+20y = 822

⇒ 450-4.50y+20y=822

⇒ 15.5y=372

⇒ y=372/15.5

⇒ y= 24

So, x+y =100

⇒ x=100-24=76

Therefore, the Town Recreation Department ordered 76 baseballs and 24 bats.

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https://brainly.com/question/24065247.

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The question picked from the figure given:

The Town Recreation Department ordered a total of 100 baseballs and bats for the summer baseball camp. Baseballs cost $4.50 each and bats cost 20 each. The total purchase was $822. How many of each item was ordered?

Answer:6350.4

Step-by-step explanation:

Dot bikes 7m+10 miles this week.

Step-by-step explanation:

Distance of one loop = m miles

Distance of 2 loops = 2m

Distance of 3 loops = 3m

Distance covered on Sunday = 10 miles

Total distance = Monday + Wednesday + Friday + Sunday

Total distance = 2 loops + 2 loops + 3 loops + 10 miles

Total distance = 2m + 2m + 3m + 10

Total distance = (7m+10) miles

Dot bikes 7m+10 miles this week.

Keywords: addition, distance

Learn more about distance at:

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Answer: 10 Acme and 15 Zenith.

She can buy 10 Acme and 15 Zenith calculators.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

A math teacher wants to buy 25 new scientific calculators for the classroom.

Acme and Zenith makes two different type of calculators.

Acme calculators cost $15 each.

Zenith calculators cost $12 each.

The math teacher has $330 to spend.

Let x represents the number Acme calculators and y represents Zenith.

Now, we have the system of equations,

x + y = 25

So, y = 25 - x

And 15x + 12y = 330

Substituting the value of y,

15x + 300 - 12x = 330

3x = 330 - 300

3x = 30

x = 10

So, y = 15

Therefore, 10 Acme and 15 Zenith calculators.

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Answer:

Step-by-step explanation:

Let t and f represent the numbers of three- and five-pound weights. The problem statement tells us ...

  f + t = 60

  f - t = 10

Adding these two equations, we get ...

  (f +t) +(f -t) = (60) +(10)

  2f = 70 . . . . . eliminate parentheses

  f = 35 . . . . . . divide by 2

She has 35 5-lb weights, and 25 3-lb weights.

Answer:

25/4 This improper fraction represents how much milk is left in the carton.

Step-by-step explanation:

5×4=20

20+5=25

25/4