Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling.

p=1

Step-by-step explanation:

[tex]3p + 7 = - 4(4 - 6p) + 2 \\ 3p + 7 = - 16 + 24p + 2 \\ 3p - 24p = - 16 + 2 - 7 \\ - 21p = - 21[/tex]

[tex] \frac{ - 21p}{ - 21} = \frac{ - 21}{ - 21} \\ p = 1[/tex]

Answer:

p = 1

Step-by-step explanation:

Given

3p + 7 = - 4(4 - 6p) + 2 ← distribute and simplify right side

3p + 7 = - 16 + 24p + 2

3p + 7 = 24p - 14 ( subtract 3p from both sides )

7 = 21p - 14 ( add 14 to both sides )

21 = 21p ( divide both sides by 21 )

1 = p , that is p = 1

No solution is 3x + 4

One solution is 2x + 4

Infinitely many solution is 3x + 5

Step-by-step explanation:

Answer:

n = m - a

Step-by-step explanation:

Given:

a = m − n

Where,

Actual cost of the item = a

Original price of the item = m

Amount of Coupon = n

Solve the formula for the amount of the coupon

Making n the subject

a = m − n

Subtract m from both sides

a - m = m - n - m

a - m = - n

Divide both sides by -1

(a - m) / -1 = -n / -1

- a + m = n

Can also be written as

n = m - a

Answer:

63

Step-by-step explanation:

Step 1:

6 + 8 + 48 + 1

Step 2:

14 + 49

Answer:

63

Hope This Helps :)

When you rewrite subtraction using the additive inverse, you add the opposite. That is, -5 becomes +(-5).

The appropriate choice is ...

... 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.

Answer:

x^4*y^2

Step-by-step explanation:

Whenever you multiply a number by itself, add one to its power. X is actually x^1, but we don't write that. Keep on adding 1 to the power for every x you multiply together and do the same thing for y. You will get x^4*y^2 as the answer.

Answer:

x^4y^2

Step-by-step explanation:

because you have 4 x so you put x^4 and you have 2 y so you do y^2 which the answer is x^4y^2

Answer:

the answer is b 9 · x + 9 · 3 + 15x

The expression 9(x + 3) + 15x is equivalent to the given expression.

Given,

9(x + 3) + 15x = 9 · x + 9 · 3 + 15x

9(x + 3 + 15)x = 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x

We need to find which expression is equivalent to the given expression after using the distributive property.

We have the distributive property of multiplication over addition and subtraction.

Example:

- distributive property of multiplication over addition

= a x ( b + c )

= a x b + a x c

- distributive property of multiplication over addition and subtraction.

= a x ( b - c )

= a x b - a x c

Find the expression using the distributive property.

We have,

- 9(x + 3) + 15x

= 9 · x + 9 · 3 + 15x

This is equivalent to 9 · x + 9 · 3 + 15x

- 9(x + 3 + 15)x

= ( 9 · x + 9 · 3 + 9 · 15 ) x
= 9 . x . x + 9 . 3 . x + 9 . 15 . x

This is not equivalent to 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x

Thus the expression 9(x + 3) + 15x is equivalent to the given expression.

Learn more about application of the distributive property here:

https://brainly.com/question/225641

#SPJ2

Answer:

Step-by-step explanation:

1. y = 13x + 5

y = 13(0) + 5

y = 0 + 5

y = 5

(0,5)

y = 13(-2) + 5

y = -26 + 5

y = -21

(-2, -21)

2. y = -3x

y = -3(-3)

y = 9

y = -3(0)

y = 0

(0,0)

(-3,9)

3. y = x - 10

   y = -5 - 10

    y = -15

   (-5, -15)

  y = 8 - 10

   y = -2

   (8, -2)

The correct options are:

1. y = 13x + 5  ⇒ (0,5)

2. y = -3x ⇒ (0,0)

3. y = x - 10  ⇒ (8, -2)

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Learn more about the equation here brainly.com/question/2972832

#SPJ2

Answer:

18 Feet of fencing

Step-by-step explanation:

hope this helps

Answer:

0.005 hours

Step-by-step explanation:

1km per hour = 1000m per hour

5 divide 1000

0.005 hours

Simplify to 0.3 minutes (x60) or seconds (x60 again) 18 seconds

Hope this helps

Answer: 9

Step-by-step explanation: 3 is one half of the line and x-1 is the other. 2x-5 is the whole line so 3+x-1=2x-5 is our equation. Solve for x and you get 7. Then replace x with 7 in 2x-5 and you will get an answer of 9.

The numerical length of LN is 7 units.

It is required to determine the numerical length of LN.​

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given :

Point M is on line segment LN.

LM = 3

LN = 2x-5

MN = x-1

Use the Segment Addition Postulate:

L------------M--------------------------N

LM + MN = LN

3 + x-1 = 2x-5

2+5=2x-x

7=x

Hence, the numerical length of LN is 7 units.

Learn more about midpoint here:

https://brainly.com/question/17404643

#SPJ2

Axis

Step-by-step explanation:

A rotation is a circular movement of an object around a center (or point) of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes . If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation around an external point, e.g. the planet Earth around the Sun, is called a revolution or orbital revolution, typically when it is produced by gravity. The axis is called a pole.

Answer:

The correct option is;

[tex]\overline{AB} \cong \overline{CD}[/tex]

Step-by-step explanation:

From the diagram, we have that the segment [tex]\overline {AB}[/tex] is given as the measured distance between the points A and B while the measured segment [tex]\overline {CD}[/tex] is constructed on the line m, starting from a point C and using a compass whose width is adjusted to the length of the segment [tex]\overline {AB}[/tex] and with the metal tip of the compass placed at C, to draw an arc the crossed the line m at a point which is then marked and labelled as then point D

Therefore the length of the segment [tex]\overline {AB}[/tex] is equal to the length of the segment [tex]\overline {CD}[/tex] and the relation is expressed as [tex]\overline{AB} \cong \overline{CD}[/tex].

Step-by-step explanation:

5(r + 9) - 2(1 - r) = 1

5r + 45 - 2 + 2r = 1

7r + 43 = 1

7r = -42

r = -6.

Answer:

r = -6

Step-by-step explanation:

Given equation,

→ 5(r + 9) - 2(1 - r) = 1

Now the value of r will be,

→ 5(r + 9) - 2(1 - r) = 1

→ 5r + 45 - 2 + 2r = 1

→ 5r + 2r + 43 = 1

→ 7r = 1 - 43

→ 7r = -42

→ r = -42/7

→ [ r = -6 ]

Hence, the value of r is -6.

Answer:

Interval width

Step-by-step explanation:

In normal statistics, we calculate range as difference between Maximum Value and Minimum Value of the data given.

However, in group simple frequency distribution, we have what we call interval width which is simply the range of values contained in each interval.

To determine this interval width, we we divide the observed range by the number of intervals chosen.

Answer:

8/25

Step-by-step explanation:

32/100

Find what value can divide the numerator's value (32) and the denominator's value (100) into a whole number, for this problem, 4 is the value that can do this.

32/4= 8

100/4= 25

8/25

Answer:

457000

Step-by-step explanation:

You are multiplying hectograms by 100000  in order to convert it into milligrams

Answer:15 hours

Step-by-step explanation:

15+5=20

20+20=40

13+17=30

Add

90 hours

90÷6= 15

15 hours

Answer:

The inequality that represents the second graph is:  [tex]x\leq3[/tex]

Step-by-step explanation:

From the second number line, you can see that the circle is closed on positive 3 and the arrow is pointing left - the direction of negative numbers, so you know that the value of x must be less than or equal to 3. Thus, you can write the inequality: [tex]x\leq3[/tex] - X is less than or equal to 3

Hope this helps!

Answer:

The estimate part is D or the square root of 48 and the rectangle is 13.8 units long and 6.9 units wide. Have Fun on Savvas Bro

Step-by-step explanation:

The required answer is,

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Now it is given that,

The length of a rectangle is twice the width. The area of the rectangle is 96 square units.

The area of the rectangle = Length × Width

Length = 2W

96 square units = 2W × W

96 = 2W²

W² = 96/2

W² = 48

W = √48

Width of the rectangle = 6.928203 units

Approximately = 6.928 units

Now,

Length = 2 × Width

            = 2 × 6.928

            = 13.86 units

• Now,we need to divide the rectangle into two squares with equal area, and estimate the side length of each​ square,

When we divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 13.86 units

13.86 units ÷ 2 = 6.928 units.

Hence, the side length of the square the 6.928 units.

More about rectangle and square :

https://brainly.com/question/18559001

#SPJ2

Answer:

x = 2

Step-by-step explanation:

37 = -3 + 5(x+6)

37 + 3 = 5*x + 5*6

40 = 5x + 30

40 - 30 = 5x

10 = 5x

x = 10/5

x = 2

Check:

37 = -3 + 5(2+6)

37 = -3 + 5*8

37 = 40 - 3

Answer: 2nd option

Step-by-step explanation: Infinity and beyond

Answer:

Step-by-step explanation:

3x^2 - 4x - 2 = 0

4/6 + (sqrt(16 - 4(3)(-2)))/6

2/3 + (sqrt(16+24))/6

2/3 + (sqrt(40))/6

2/3 + 2(sqrt(10)/6

2/3 + (sqrt(10))/3

Answer:

Step-by-step explanation:

3x² - 4x - 2 = 0

Using the quadratic formula

That's

From the question

a = 3 , b = - 4 , c = - 2

So we have

We have the final answer as

Hope this helps you

Answer:

x = 7.

Step-by-step explanation:

-5x = -35

x = -35 / -5 = 7.

Answer:

=−18y4−27y3+81y2

Step-by-step explanation:

− y 2 − 8 y + 21

Hope this helped!!!