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

Answer:

31.8

Step-by-step explanation:

Answer:

Enrique spent D. $31.80 on soda.

Answer:

1 in on the map = [tex]\frac{16}{7}\ miles[/tex] on the street

Step-by-step explanation:

Represent the actual distance as y and the map distance as x

So:

x = 3.5in when y = 8 miles

Required

Determine the proportion

The proportion of map measurement to actual measurement is:

[tex]x : y[/tex]

This gives:

[tex]3.5\ in : 8\ miles[/tex]

Divide by 3.5

[tex]\frac{3.5\ in}{3.5} : \frac{8\ miles}{3.5}[/tex]

[tex]1\ in: \frac{8\ miles}{3.5}[/tex]

Simplify the fraction

[tex]1\ in: \frac{8 * 2\ miles}{3.5*2}[/tex]

[tex]1\ in: \frac{16\ miles}{7}[/tex]

[tex]1\ in: \frac{16}{7}\ miles[/tex]

This means that:

1 in on the map = [tex]\frac{16}{7}\ miles[/tex] on the street

Answer:

Zoey is -362 meters from sea level.  She travels another -71 meters (notice the negative because she is now further away from sea level).  She is now -433 meters from sea level.

Step-by-step explanation:

-362 (original elevation) + -71 (distance to new location) = -433 (total elevation)

Answer:

-433

Step-by-step explanation:

Zoey is already 362 below sea level.

Then she descends another 71 meters

So. . .

-362 - 71

This can also be written as -362 + (-71)

-433

Hope this helps :)

Please consider Brainliest :)

Answer:

A. 36.6

B. -94.18

C. -3.25

D. -75.01

E. -54.03

Answer:

a. 36.6

b. - 94.18

c. - 3.25

d. - 75.01

e. -54.03

Step-by-step explanation:

Hope this helps, have a great day

Answer:

156.25

Step-by-step explanation:

150 ÷ 96%

= 156.25

Answer (Three Different Forms):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Step-by-step explanation:

96% is the same as 0.96, and so this problem can be written algebrically as:

0.96 ⋅ x = 150

Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:

x = [tex]\frac{150}{0.96}[/tex]

Divide/simplify [tex]\frac{150}{0.96}[/tex] to get the following three options (you can choose which one to use):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Hope this helps! :)

Answer: 3x + 15 = 51

x is the number of laps that she swims on Monday, Wednesday, and Friday. Since she swims the same amount, we can multiply x by three. Since Saturday  gives us an explicit answer, we can just add that to the equation.

Hope this helps :)

Answer:

Every real number other than zero is either positive or negative. The non-negative whole numbers are referred to as natural numbers (i.e., 0, 1, 2, 3...), while the positive and negative whole numbers (together with zero) are referred to as integers. (Some definitions of the natural numbers exclude zero.)

Step-by-step explanation:

Answer:

Sample Response: The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

                                                                    Plz mark brainlest

Answer:

13.6 - 12 = 1.6

Step-by-step explanation:

Answer:

118/15 or 7.8666666666666666666666666666666666666666666666666666666666666666... decimal

Step-by-step explanation:

Simplify the following:

(1 + 1/9) (4 + 1/2) + 3 + 1/5 - 1/3

Put 1 + 1/9 over the common denominator 9. 1 + 1/9 = 9/9 + 1/9:

9/9 + 1/9 (4 + 1/2) + 3 + 1/5 - 1/3

9/9 + 1/9 = (9 + 1)/9:

(9 + 1)/9 (4 + 1/2) + 3 + 1/5 - 1/3

9 + 1 = 10:

10/9 (4 + 1/2) + 3 + 1/5 - 1/3

Put 4 + 1/2 over the common denominator 2. 4 + 1/2 = (2×4)/2 + 1/2:

10/9 (2×4)/2 + 1/2 + 3 + 1/5 - 1/3

2×4 = 8:

10/9 (8/2 + 1/2) + 3 + 1/5 - 1/3

8/2 + 1/2 = (8 + 1)/2:

10/9 (8 + 1)/2 + 3 + 1/5 - 1/3

8 + 1 = 9:

10/9×9/2 + 3 + 1/5 - 1/3

10/9×9/2 = (10×9)/(9×2):

(10×9)/(9×2) + 3 + 1/5 - 1/3

(10×9)/(9×2) = 9/9×10/2 = 10/2:

10/2 + 3 + 1/5 - 1/3

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

5 + 3 + 1/5 - 1/3

Put 5 + 3 + 1/5 - 1/3 over the common denominator 15. 5 + 3 + 1/5 - 1/3 = (15×5)/15 + (15×3)/15 + 3/15 - 5/15:

(15×5)/15 + (15×3)/15 + 3/15 - 5/15

15×5 = 75:

75/15 + (15×3)/15 + 3/15 - 5/15

15×3 = 45:

75/15 + 45/15 + 3/15 - 5/15

75/15 + 45/15 + 3/15 - 5/15 = (75 + 45 + 3 - 5)/15:

(75 + 45 + 3 - 5)/15

| 1 |  

| 7 | 5

| 4 | 5

+ | | 3

1 | 2 | 3:

(123 - 5)/15

| | 1 | 13

| 1 | 2 | 3

- | | | 5

| 1 | 1 | 8:

Answer: 118/15

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[tex]1 \frac{1}{9} \times 4 \frac{1}{2} + (3 \frac{1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{9 + 1}{9} \times \frac{8 + 1}{2} + ( \frac{15 + 1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{10}{9} \times \frac{9}{2} + ( \frac{16 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) = \\ [/tex]

[tex] \frac{9 \times 10}{9 \times 2} + ( \frac{48}{15} - \frac{5}{15} ) = \\ [/tex]

[tex] \frac{10}{2} +( \frac{48 - 5}{15} ) = \\ [/tex]

[tex]5 + ( \frac{43}{15} ) = \\ [/tex]

[tex] \frac{75}{15} + \frac{43}{15} = \frac{118}{15} \\ [/tex]

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Answer:

fortnite is garbo

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

the ratio of 12/4 is the same as 3

Answer: first one is  2 second one is not linear the 3rd one is -2 and the 4th one is 4/3

Step-by-step explanation: use the equation y=mx + b u dont have to find anything the slope is already given to you

Answer:

57°

Step-by-step explanation:

LHS angle=RHS angle=57° (vert. opp angles)

Answer:

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Step-by-step explanation:

Given the equation solved by Wayra expressed as;

Step 1: 13(z+6) = 4(z-3)-5z

She is find the value of z from the equation;

Step 2: Open the parenthesis using the distributive property;

13(z+6) = 4(z-3)-5z

13z + 13(6) = 4z - 4(3) - 5z

13z + 78 = 4z - 12 - 5z

Step 3: Simplify

13z + 78 = 4z - 5z - 12

13z + 78 = -z -12

Step 4: Collect the like terms;

13z + z = -12 - 78

Step 5: Simplify the result

14z = -90

Step 6: Divide both sides by 14

14z/14 = -90/14

z = 6.428

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Answer:

C.) 1 5/b boxes

Number of boxes left over

= 3 - 1/2 - 2/3

Convert each  fraction to one in terms of the LCM:

= 18/6 - 3/6 - 4/6

= 11/6

= 1 5/6 boxes.

The solution is Option B.

The number of boxes of crackers left with Eloise is 1 5/6 boxes of crackers

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of boxes of crackers left with Eloise be = A

Now , the total number of boxes of crackers be = 3 boxes

The number of boxes of crackers ate on Saturday = 1/2

The number of boxes of crackers ate on Sunday = 2/3

So , the equation will be

Number of boxes of crackers left with Eloise A =  total number of boxes of crackers - number of boxes of crackers ate on Saturday - number of boxes of crackers ate on Sunday

Substituting the values in the equation , we get

Number of boxes of crackers left with Eloise A = 3 - 1/2 - 1/3

On simplifying the equation , we get

Number of boxes of crackers left with Eloise A = 5/2 - 2/3

Number of boxes of crackers left with Eloise A = ( 15 - 4 ) / 6

Number of boxes of crackers left with Eloise A = 11/6

Number of boxes of crackers left with Eloise A = 1 5/6 boxes

Therefore , the value of A is 1 5/6 boxes

Hence , the number of boxes left is 1 5/6 boxes of crackers

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Answer:

the first one and last one are true

Step-by-step explanation:

Answer:

It's the top answer or A.

Step-by-step explanation:

Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125

include the decimal point in between 1 and 2

boom 1.25

slope of line perpendicular to the line y=-1/4x-1 is 4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us write the given equation  y=-1/4x-1

If we compare the given equation with slope intercept form

We get to know slope of line m is -1/4.

It two lines are perpendicular then the product of their slopes will be -1

-1/4×m=-1

m=4

Hence slope of line perpendicular to the line y=-1/4x-1 is 4.

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Answer:

2+10x-x^2, the last answer

Step-by-step explanation:

Answer:

[tex]C(w) = 5w + 12[/tex]

[tex]C(w) = 12+5w[/tex]

Step-by-step explanation:

Given information:

- Monthly fee of $12

- $5 fee per workout class

- [tex]w[/tex] represents the workout classes taken for a month

- - - -

With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.

Workout fee = [tex]$5w[/tex]

Monthly fee = [tex]$12[/tex]

∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)

Hope this helps :)

Answer:

I believe it is

1) yes

2) no

3) no

4)no

Step-by-step explanation:

It can only be a solution if you put the x in from the table into the x of the equation and the y in from the same ordered pair into the equation for y and if you get 1 for the fist equation it is a solution but you also have to get 7 for the second equation for it to fully be a solution. Also, you can go to desmos and enter the equations and then substitute the x's and y's... you will have to delete the =1 and =7 in order for the website to tell you what it equals.

9514 1404 393

Answer:

  400

Step-by-step explanation:

If x represents the number of employees a year ago, the current number is ...

  x + 0.33x = 53,200

  x = 53,200/1.33 = 400

The company had 400 employees a year ago.

Answer:

12981

Step-by-step explanation:

Given that :

Initial number of residents = 12575

Yearly growth rate (r) = 1.6%

Population in 2 years :

Using the relation :

Population in t years P(t) :

P(t) = initial population * (1 + growth rate)^t

t = time

Population in 2 years :

P(2) = 12575 * (1 + 0.016)^2

P(2) = 12575(1.016)^2

= 12575 * 1.032256

= 12980.6192

= 12981

Answer:

8000

Step-by-step explanation:

7-7=0

2-2=0

6-6=0

take the 1 out of 14,000 and add that to the 4 as a ten so you get 14 and than subtract 6 to get 8

Answer:4 1/2  Teaspoons  of vanilla will be left in the bottle

Step-by-step explanation:

Step 1

Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla

Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons

= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.

Step 2

If a bottle of vanilla contains = 12 teaspoons of vanilla

After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla

Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2

Therefore 4 1/2  Teaspoons  of vanilla will be left in the bottle

Answer:

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Step-by-step explanation:

Given the equation

[tex]y=\frac{3}{5}x+10[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

so the slope of the line is 3/5.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -5/3

Therefore, the point-slope form of the equation of the perpendicular line that goes through (15,-5) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-5\right)=\frac{-5}{3}\left(x-15\right)[/tex]

[tex]y+5=\frac{-5}{3}\left(x-15\right)[/tex]

simplifying the equation to convert it into the slope-intercept form

We know that the slope-intercept form of the line equatio is

[tex]y=mx+b[/tex]

here 'm' is the slope and 'b' is the y-intercept

[tex]y+5=\frac{-5}{3}\left(x-15\right)[/tex]

subtract 5 from both sides

[tex]y+5-5=\frac{-5}{3}\left(x-15\right)-5[/tex]

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.