A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

Answer:

A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint

Step-by-step explanation:

Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

To make color pink,

for every 3 cups of red , we need 7 cups of white.

Let 'r' be the cups of red required

let 'w' be the cups of white required

so , as per the question

for 3 r we need = 7 w

r = 7/3 w

so, 7/3 is constant of proportionality

Answer:

No, triangle B is a reflection of triangle A.

Step-by-step explanation:

The points of triangle A are reflected across the dotted line. So as a result triangle B is a reflection of triangle A.

Answer:

No

Step-by-step explanation:

Its a reflection because even if you did rotate it it would never be in that orientation.

Answer:

yes, and no

Step-by-step explanation:

Answer:

YES

NO

Step-by-step explanation:

15 and 9 are like terms because they can be simplified together. 15+9, 15-9, 15*9 can all be simplified further.

-10xy and 9x are not like terms because they cannot be simplified without the variables first being defined.

Step-by-step explanation:

Ur qsn is so confusing can you plz rewrite it

Answer:

False

Step-by-step explanation:

To find the opposite of an integer, we just change its sign. If it is negative, change to positive. If it is positive change to negative. Opposite integers are the pairs of integers that have the same absolute value, or the same distance from zero. The sum of two opposites is always zero.

Hope this helps :)

Answer:

B and D

Step-by-step explanation:

i got it right :D

Answer:

Y= 43, x=137, z=137 total is 360

Answer:

The answer is 8 because you need to add 1 1/3 eight times to get 10 2/3

Answer:

It takes two hours

Step-by-step explanation:

Answer:

-12x - 14y

Step-by-step explanation:

First I would move them side by side so I can see it better so:

-7x - 5x - 8y - 6y

now combine the x values together and the y values together:

-12x - 14y

Answer:

it's true 0 divided by 2 is 0 and 2 divided by 0 is still 0

Answer:

2%

Step-by-step explanation:

Answer:

D or [1.5, ∞)

Step-by-step explanation:

Got it right on edgenuity

9514 1404 393

Answer:

  3.75 hours

Step-by-step explanation:

Travel time can be found using the relation ...

  time = distance/speed

  time = (2475 mi)/(660 mi/h) = 3.75 h

It will take 3 3/4 hours to travel that distance.

Answer: <

Step-by-step explanation:

167.4=167.40 so 167.462 is greater. It’s correct. Trust me.

Let the number of men and the number of women in the beginning be x and y

Now,[tex]\sf \frac{x} {y} =\frac{5}{2} \\\\\sf

=2x=5y \\\\\sf

=x=\frac{5y}{2}[/tex]

Now, In 2nd case,

No. Of men=x-63 and no. Of women =y-12

Now,the ratio becomes[tex] \frac{x-63}{y-12}=\frac{7}{4} \\\\\sf

=4(x-63)=7(y-12) \\\\\sf

=4x-252=7y-84 \\\\\sf

Putting,\:x=\frac{5y}{2}\:in\: 4x-252=7y-84\:we\: get, \\\\\sf

10y-252=7y-84 \\\\\sf

=10y-7y=252-84 \\\\\sf

=3y=168 \\\\\sf

=y=56 \\\\\sf

=\boxed{Y=56}

[/tex]

Now,we have, 2x=5y

Putting the value of Y=56 in 2x=5y,we get,

[tex]\sf 2x=5\:x\:56 \\\\\sf

x=\frac{5\:x\:56}{2} \\\\\sf

x=\frac{5\:x\: \cancel{56}\:\:28}{ \cancel{2}} \\\\\sf

=x=5\: x\: 28 \\\\\sf

x=140 \\\\\sf

\boxed{x=140}

[/tex]

Hence, the number of men was 140 and the no. of women was 56

Hi...I am from India.. Where are you from?

Answer:

21

Step-by-step explanation:

[tex]\sqrt5[/tex]Answer:

Sin^2 x + Cos^2 x = 1

Sin^2 x = 1 - 4 / 9 = 5 / 9

Sin x = [tex]\sqrt5[/tex]  / 3

Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex]  / 3) /  (2 / 3) =  [tex]\sqrt5[/tex]  / 2

Answer:

r

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because -5x and 5x both have the same things in it (a full base number and variable), they are like terms. It doesn't matter that one is a negative and the other is not. It's just matters that everything else is the same.

I hope this helps!

Answer:

esta Frase es correcta se a los amigos de mis Padres true false

Answer:

5 3/7

Step-by-step explanation:

Answer:

let's see what to do

Step-by-step explanation:

[tex] \frac{38}{7} = \frac{35 + 3}{7} = \frac{35}{7} + \frac{3}{7} = 5 + \frac{3}{7} \\ [/tex]

End....

thanks for watching ♥️♥️♥️♥️♥️.

Answer:

11/14

Step-by-step explanation:

Answer:

11/14

Step-by-step explanation:

Convert to common denominator then subtract the numerator

Answer: m = -3

............................

Answer:

[tex]-\frac{2}{9}[/tex]

Answer:

The constant rule being followed is that the sum of x and y in every case is 5

Since the sum of x and y is 5, we can say that the value of y is 5-x

So we can define a function for this rule:

f(x) = 5 - x

Answer:

Step-by-step explanation:

From the table we see that:

Considering the above observations we can put equation:

Answer:

T,F,T,F,T

Step-by-step explanation:

1. It crosses it there becuase 4(0)-15=-15 for y

2: both top and middle answers are -23, so continuous

3: it increases over that period because the exponent keeps getting bigger

4: No, its not decreasing because -12 plugged in is far less than -23 when -2 is plugged in, meaning its increasing

5: There is no number that would cause an imaginary number or make you divide by zero, meaning all real numbers are fine.