Serena is cycling from dance class to her home. The equation shows Serena's distance (y), in miles, from her home after x minutes:

y = 16 − 6x

What does the number 16 in the equation represent? (1 point)

a
Serena's distance from home when she begins cycling

b
Serena's distance from the dance class when she begins cycling

c
The speed at which Serena is cycling from the dance class to her home

d
The rate of change of Serena's speed while cycling from the dance class to her home

Answers

Answer 1

In linear equation, 16 is represent The speed at which Serena is cycling from the dance class to her home

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

6x + y = 16

6x = 16 - y

x = 8/3 - y/6

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Related Questions

Which three side lengths best describe the triangle in the diagram

Answers

I think the answer is 6cm, 8cm, 10cm

Answer:

its 6 cm, 8cm, and 10 cm

Step-by-step explanation:

i just took the quiz

Which professionals most directly use geometry In their work?
O A. accountants
© B. astronomers
O C. judges
© D.
pharmacists
O E. politicians

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Answer:

Step-by-step explanation:

El triple del mayor de tres números pares consecutivos, más 6 es igual al doble del menor. Encuentra el número mayor. Porfaaaa :(

Answers

Answer:

-14. Aunque podría estar equivocado. Espero poder ayudar

Step-by-step explanation:

Translate the following phrases into mathematical statements.
r ) is less than or equal to ten.

s )is more than negative one

t ) isn't the same as negative
five.

x ) is at most negative three.

y )is never one.

Answers

Answer:

[tex]r \le 10[/tex]

[tex]s > -1[/tex]

[tex]t \ne 5[/tex]

[tex]x \le -3[/tex]

[tex]y \ne 1[/tex]

Step-by-step explanation:

Required

Translate to mathematical statements

a) r is less than or equal to ten.

less than or equal means [tex]\le[/tex]

So, the expression is:

[tex]r \le 10[/tex]

b) s is more than negative one

More than means >

So, the expression is:

[tex]s > -1[/tex]

c) t isn't the same as negative  five.

isn't the same means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]t \ne 5[/tex]

d) x is at most negative three.

At most means [tex]\le[/tex]

So, the expression is:

[tex]x \le -3[/tex]

e) y is never one.

is never means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]y \ne 1[/tex]

Solve these with work shown please. ​

Answers

Step-by-step explanation:

substitute the value in the value of x and u will get the result.

Hope this helps have a nice day

what is 445 + (67 x 958) x (3n - 31) x 67

Answers

Step-by-step explanation:

1

9

2

5

5

8

6

7

1

9

8

9

7

6

6

6

7

+

4

4

5

what is the area of a figure what is the area of a figure with a 16 inch base a 10 inch base and a height of 8 in on the left and 6in on the right ​

Answers

So I’m thinking of this as two triangles. So I would do 16x8/2 which equals 64 and 10x6/2 which equals 30. So my guess is that the area is 94in^2. Hope this helps you out!

Graph x+y=3 , ILL MARK BRAINLIST

Answers

The answer is d when you graph

Answer:

Are you sure?

None

Step-by-step explanation:

A. x= -3 , y= 3

x + y =

-3 + 3 = 0

B. x= -3 , y= -3

x + y =

-3 + -3 = -6

C. x= 3 , y= 3

x + y =

3 + 3 =6

D. x= 3 , y= -3

x + y =

3 + -3 = 0

The senior class is making T-shirts as a fundraiser. The material needed to make each T-shirt costs $3.75. The students sell each shirt for $10.To increase sales, the students spend $350 on advertising. How many t-shirts must the students sell to breakeven?

Answers

Answer:

the number of t-shirts sold to breakeven is 56 t-shirts

Step-by-step explanation:

The computation of the number of t-shirts sold to breakeven is shown below:

= Fixed cost ÷ (Selling price - cost price)

= $350 ÷ ($10 -  $3.75)

= $350 ÷ 6.25

=  56 t-shirts

Hence, the number of t-shirts sold to breakeven is 56 t-shirts

a que numero micro corresponde 7/2​

Answers

Answer:

31/2 d nada xdddddddddddddddddddddddddddd

WILL MARK BRAINLIEST
What is the volume of the shape in the image?

Answers

Answer:

18inches I HOPE IM RIGHTTT

Answer:

350

Step-by-step explanation:

you do length•width•height. so

10•7=70 and 70•5=350

841 rounded to the nearest 10th

Answers

841 rounded to the nearest 10th is 840...hope this helps u :)

The answer is 840.

I hope am right

Compare the fractions using >,<, or = 3/15 and 1/3

Answers

Answer:

3/15 < 1/3

Step-by-step explanation:

We have two fractions, 3/15 and 1/3. The question is asking us to compare them using the less than sign <, greater than sign >, or equal sign =.

To solve this question, what we must do is try to get both fractions the same denominators, which will be done through multiplying 3 by a certain number to get to 15, then doing the same for the numerator.

So what multiplied by 3 gets us 15?

5.

Multiply both the numerator and denominator by 5.

[tex]\frac{1*5}{3*5}[/tex]

[tex]\frac{5}{15}[/tex]

Now that they both have the same denominator, we can compare and see which is bigger.

5/15 (1/3) and 3/15.

By this we can see that 3/15 is less than 5/15.

Therefore 3/15 < 1/3

14000.00 rate 8% 60 days simple interest​

Answers

Answer:186.66is answer

p=14000

r=8%

time=60days=2month/12=1/6year

Step-by-step explanation:

simple interest=ptr/100=14000×8×1/600=186.666

The length of each side of an equilateral triangle is increased by 6 inches, so the perimeter is now 60 inches. What was the original length of each side of the equilateral triangle?​

Answers

Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

prove that Sn=n(n+1) for the sequence an=2n,where n is any positive integers​

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex]a_n = 2n[/tex]

Required

Prove that [tex]S_n = n(n+1)[/tex]

The given sequence is an arithmetic sequence.

The Sn of this sequence is:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

Calculate a1

[tex]a_n =2n[/tex]

[tex]a_1 =2*1[/tex]

[tex]a_1 =2[/tex]

So, we have:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

[tex]S_n = \frac{n}{2}(2 + 2n)[/tex]

Factor out 2

[tex]S_n = \frac{n*2}{2}(1 + n)[/tex]

[tex]S_n = n(1 + n)[/tex]

[tex]S_n = n(n + 1)[/tex] --- Proved

In triangle ABC, one angle measures 68°, another measures 19°, what is the measure of the third angle? *

Answers

Answer:

93°

Step-by-step explanation:

In triangle ABC

one angle = 68°

Another angle = 19°

Let the third angle be X Then

x + 68° + 19° = 180° { being sum of angles of triangle }

x = 180° - 87°

x = 93°

The measure of the third Angle is 93°

Hope it will help :)

Sara had fourteen peaches and forty pears left at her roadside fruit
stand. She went to the orchard and picked more peaches to stock up the
stand. There are now eighty-one peaches at the stand, how many did
she pick ?

Answers

Answer:

67

Step-by-step explanation:

she picked 67 because if you take how many she had at the end and subtract it from the starting number it gives you 67

Which choice is equivalent to the product below? Square root of 8 Times Square root 5?

Answers

Answer:

Step-by-step explanation:

Pls help I’m failing math

Answers

`Answer:

a)x=-9

b)x=71

c) x=3

d)x=9

Step-by-step explanation:

thats what i got unless im really stoopid

1
Add or subtract and simplify. *

(3d + 5) + (40 – 1)

Answers

3d +4

How to:
Combine like terms

which is the graph of y - 3 = -2/3 (x+6)? PLEASE ANSWER QUICK IM TAKING A TIMED TEST

Answers

Answer:

the first graph

Step-by-step explanation:

the one with (0,-1) (-3,1) (3,-3)

A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?

Answers

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

Answer:

$56.16

Step-by-step explanation:

To find the sale price, multiply the original price by 0.75:

74.88(0.75)

= 56.16

So, the sale price is $56.16

75+11(1777-S)=16,671

Answers

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

Given the linear equation & its graph, what is the slope?​

Answers

Answer:

Slope: 5/3

Step-by-step explanation:

Linear equation:

y = mx + b

m is the slope

so if,

y = 5/3x - 4

5/3 is the slope.

Hope this helps :)

Let me know if there are any mistakes!!

simplify the expression 4x+2-1/2x

Answers

answer 41x

Step-by-step

Fine the area of this figure.what two shapes can you decompose.

Answers

D. 52 cm; a rectangle and triangle

Steps are on paper

how do you write this number 0.1709 in words?​

Answers

Answer:

0.1709 in words-

Point one seven zero nine

Can y’all help pls ;)

Answers

Answer:

A. 5x+6

Step-by-step explanation:

-[tex]\frac{1}{3}[/tex](9x-18)+8x

-3x+6+8x (multiply across the -1/3)

5x+6 (combine 8x and -3x)

Ms. Halloween works in a factory. She receives a salary of $9.10 per hour and piecework pay of 15 cents per unit produced. Last week she worked 40 hours and produced 988 units. a. What was her piecework pay? What was her total hourly pay for the week? What was her total pay for the week? b. If her boss offered to pay her a straight $13 per hour and no piecework pay for the week, would she earn more or less than under the piecework pay system? c. What would her total weekly salary have been if she produced 0 units?

Answers

Answer:

1065.1

Step-by-step explanation:

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

What is a salary?

Salary is a compensation or fixed amount of money paid to an employee by an employer in return for work performed.

For the given situation,

Halloween's salary received per hour = $9.10

Halloween's piecework pay per unit = 15 cents

Total work per week = 40 hours

Total unit produced per week = 988 units.

Part a:

1. Halloween's piecework pay = [tex](988)(15)[/tex]

⇒ [tex]14820 cents[/tex]

we know that $1 = 100 cents

⇒ [tex]\$148.20[/tex]

2. Halloween's total hourly pay for the week = [tex](40)(9.10)[/tex]

⇒ [tex]\$364[/tex]

3. Halloween's total pay for the week = [tex]364+148.20[/tex]

⇒ [tex]\$512.20[/tex]

Part b:

Halloween's boss offered to pay her a straight $13 per hour and no piecework pay for the week.

Total amount received for the week = [tex](40)(13)[/tex]

⇒ [tex]\$520[/tex]

Difference in pay = [tex]520-512.20[/tex]

⇒ [tex]\$7.80[/tex]

Thus, she earns more when she get the straight salary on hourly basis.

Part c:

If her production is 0 units, then she might get her hourly pay only.

⇒ [tex](40)(9.10)[/tex]

⇒ [tex]\$364[/tex]

Hence we can conclude that

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

Learn more about salary and wages here

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