In the equation, 4x + 5 = 21, what is the first step in the order of
operations, to solve for x? *

Answer:

(y2 - y1)/(x2-x1)

Step-by-step explanation:

if you have 2 points (x1,x2) and (y1,y2), just plug it in the formula for slope m

m = (y2 - y1)/(x2-x1)

Answer:

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

Answer:

You would need to sell 24 pizzas

Step-by-step explanation

132/44= 3

Take the 3 and times it by 8

3 x 8 = 24

You would need to make 24 pizzas

Each pizza is 5.50$

So an equation for this could be

5.50x P = C

P = Pizza

and C is the cash you earned

I hope this helps

Answer:

62

Step-by-step explanation:

(82-2)-2× 3^7 ÷ 3^3

___________

3^2

80 - 2 × 3^4

_________

3^2

80 - 2 × 3^2

80 - 2 × 9

80 - 18

62

Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

The solution to the following system is [tex](2,1,0)[/tex].

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

[tex]3x+3y+6z=9[/tex]    [tex](i)[/tex]

[tex]x+3y+2z=5[/tex]    [tex](ii)[/tex]

[tex]3x+12y+12z=18[/tex]  [tex](iii)[/tex]

To find the solution to the above give algebraic equations,

We have to find values of [tex]x,y,z[/tex].

So,

We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],

[tex]3x+3y+6(0)=9[/tex]

[tex]3x+3y=9[/tex]    [tex](iv)[/tex]

Now,

We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],

[tex]x+3y+2(0)=5[/tex]

[tex]x+3y=5[/tex]  

[tex]x=5-3y[/tex]    [tex](v)[/tex]

Using equation [tex](iv)[/tex] & [tex](v)[/tex],

We get,

[tex]3(5-3y) +3y=9[/tex]

[tex]15-9y+3y=9[/tex]

[tex]-6y=-6[/tex]

[tex]y=1[/tex],

Now we have value of  [tex]y=1[/tex], putting this value in equation  [tex](v)[/tex],

[tex]x=5-3(1)[/tex]

[tex]x=2[/tex],

Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.

To learn more about algebra click here

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Answer: Its C

Step-by-step explanation:

Since 2/3 and 1/5 are smaller than 1 but bigger than 0 they will be in between 0 and 1.

2/3 is closer to 1 and 1/5 is closer to 0

Answer:

[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]

☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]

☥ Which pair of expressions represents the area of the rectangle?

☐ 2(x + 1) + 2 (4) and 2x +9

☐ 2(x + 1) +2 (4) and 2x + 10

☐ 4(x + 1) and 4x + 1

☑ 4(x + 1) and 4x + 4

☪ [tex] \underline{ \text{Given :}}[/tex]

☪ [tex] \underline{ \text{To \: Find} : }[/tex]

☪ [tex] \underline{ \text{Solution}} : [/tex]

❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]

↦ [tex] \sf{4 \times (x + 1)}[/tex]

↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]

Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].

Hence , the right answer is of last option { i.e  4 ( x + 1 ) and 4x + 4 } .

And we're done !

Hope I helped!!

♡ Have a wonderful day / night ツ

~ [tex] \text{TheAnimeGirl}[/tex] ♪

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Answer:

x=0

Step-by-step explanation:

Anything to the power of 0 is 1

Answer:

x=0

Step-by-step explanation:

take the logarithm of both sides of the equation to remove the variable from the exponent.

Answer:

4/6

Step-by-step explanation:

just keep in multiplying the fraction upp and down

Answer:

2. 2/1 is the ratio of seltzer to juice.  It means that there is twice as much seltzer as there is juice.

3. (2,4) represents the amount of seltzer and juice.  At this point there are 4 cups of seltzer, and two cups of juice.

4. (1,2) can be used to find the constant of proportionality and slope.

5. y=2x

6. y=2*15

y=30

Step-by-step explanation:

If you need explanations for any of these let me know, and I'll add them.

Answer:

157

Step-by-step explanation:

Answer:

can you explain what two number you added to get that number "157"

Step-by-step explanation:

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000​,000,000

Population of the country = 53,980​,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]

Hence, the debt per person is 5535383.47 units.

Answer:

(0,-2), (1/3,-2)

Step-by-step explanation:

Answer:

Ex 1. y= -5.00x + 18.00   Ex 2. y= 0.50x + -1.00

Step-by-step explanation:

(results are in decimal form, rounded to the nearest 100th)

Answer:

the answer is 250

Step-by-step explanation:

Answer:

10.036

Step-by-step explanation:

Remark

Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).

At the point (0,50) draw a horizontal line to (200,50)

Join the point (200,50) to (0,0)

What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.

That angle is the same as the angle of elevation.

The horizontal line is 200 feet.

The vertical line is 50 feet

Formula

Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25

Solution

tan-1(0.25) = 14.036

Conclusion

The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation.  so the angle you found and the angle of elevation are the 2 angles defined by the z.

Answer:

a. gradient 4

b. gradient 3

c. gradient 1

d. gradient 1

e. gradient -2

f. gradient 3

Step-by-step explanation:

to find y intercept substitute x to be 0

i.e y=3x

y=0

Answer:

the answer is A

Step-by-step explanation:

she made 1300 biscuits

Answer:

The original number is 572.

Step-by-step explanation:

Let the 3 digit number by xyz.

Where x is the hundreds digit, y is the tens digit and z is the units digit.

Hence, the digit is (100x + 10y + z).

From the question, the tens digit equals to the sum of the hundreds digit and the units digit.

That is,

y = x + z ...... (1)

Also, from the question, the hundreds digit of this number is 3 more than the units digit.

That is,

x = z + 3 ...... (2)

Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number

If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).

the new number is 11 less than half of the original number

That is,

(100z + 10y + x) + 11 = 1/2(100x + 10y + z)

This becomes

200z + 20y + 2x + 22 = 100x + 10y + z

200z - z +20y -10y +2x - 100x = -22

199z + 10y -98x = -22 ...... (3)

Solving the equations simultaneously,

Put the value of x in equation (2) into equation (1)

x = z + 3 ...... (2)

y = x + z ...... (1)

That is,

y = (z+3) + z

y = 2z + 3 ...... (4)

Put the value of y in equation (4) into equation (3)

199z + 10y -98x = -22

199z + 10(2z +3) -98x = -22

199z + 20z + 30 -98x = -22

219z -98x = -22-30

219z -98x = -52 ...... (6)

Put the value of x in equation (2) into equation (6)

219z -98(z+3) = -52

219z -98z -294 = -52

121z = -52 + 294

121z= 242

z = 242/121

∴ z = 2

Put the value of z into equation (2)

x = z + 3

x = 2 + 3

∴ x = 5

Put the values of z and x into equation (1)

y = x + z

y = 5 + 2

∴ y = 7

Hence, x = 5, y = 7 and z = 2.

Recall that the original number is 100x + 10y + z.

100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572

Hence, the original number is 572.

Answer:

13.5π in2

Step-by-step explanation:

just took the quick check

Answer:

f(-2) = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 2

f(-2) is x = -2

Step 2: Evaluate

Answer    4

Step-by-step explanation:

3(-2)= -6

-6+2= -4

Answer:

Looks like rotation to me‍♀️

Answer:

d. y=2x-8

b. y=3/4x-1 & y=-4/3x+9

Step-by-step explanation:

I used desmos and put in all of the answer options to see which one worked the best.

Answer:

[tex]False[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]

[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]

[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]

[tex]N[/tex] [tex]O[/tex]

[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

The amount of water draining at a rate of 2.5 gallons per minute. I hope you do good on your test good luck! :)))

Step-by-step explanation:

Answer:

$884.34

Step-by-step explanation:

$850.00*2%=$17.00

$850.00+$17.00=$867.00

$867.00*2%=$17.34

$867.00+$17.34=

$884.34

Answer: $850 x 2 = $1700.00

Step-by-step explanation: You just multiply 2 times $850 and you get your answer.

Answer:

It's the B

Step-by-step explanation:

Multiply - 3 by 4x = - 12x

Multiply - 3 by - 0.5 = 1.5

Hope this helps, have a good day

Answer:

-80

Step-by-step explanation: