which inequalities are true and false?

Answer:

Part A

2·a + b ≤ 14

Part B

Please find attached the graph of the inequality created with Microsoft Excel

Part C

1) 4 pounds of apples + 8 pounds of bananas

2) 8 pounds of apples + 6 pounds of bananas

Step-by-step explanation:

Part A

The amount Tony has to buy apples and bananas = $14

The cost of apples per pound = $2

The cost of bananas per pound = $1

Let 'a' and 'b' represent the number of apples and bananas Tony buys respectively, we have;

2·a + b ≤ 14

Part B

In order to plot the inequality, we make one of the variables the subject of the inequality as follows;

b ≤ 14 - 2·a

The above inequality can be plotted with Microsoft Excel and the feasible region shaded as shown in the attached diagram

Part C

Two possible combinations of pounds of apples and bananas that Tony can buy are;

1) 4 pounds of apples and 8 pounds of bananas which gives 2 apples and 8 bananas

2) 8 pounds of apples and 6 pounds of bananas which gives 4 apples and 6 bananas

Answer:

A. meter stick

Step-by-step explanation:

The other answers do not make sense.

B is used to measure liquids.

C is used to measure weight/mass

D is used to measure the ingredients needed for a recipe, usually cooking.

Answer:

50%

Step-by-step explanation:

Answer:

963^2ft

Step-by-step explanation:

i think, sorry if it's wrong

Answer:

346 inches

Step-by-step explanation:

Answer:

$2.4

Step-by-step explanation:

2018 June               2017June                    

125                            100

1                                 0.75

Therefore,  3= 100x3/125

=300/125

=$2.4

hope it helps:D

plz mark me as brainliest

Answer:

177 ft below sea level

Step-by-step explanation:

282

10 x 12 = 120. This represents how man ft the hot air balloon rose.

282 - 120 = 162. Keep in mind your still below sea level.

162 + 15 = 177

You add 15 because the hot air balloon is going down 15 feet which adds to being below sea level. ( Your going deeper/lower)

Answer:

3

Step-by-step explanation:

I can't explain.. i don't know it's like a whole paragraph. I'm sorry! I hope I helped tho!

Answer:

The answer is 64, and I’m being for real

Step-by-step explanation:

Answer:

m =  [tex]\frac{4}{3}[/tex]

Answer:

it would take 5 dolls cups

Answer:

Answer is in picture and explanation below.

Step-by-step explanation:

Continuing from the picture,

Area of Metal base = Area of Bigger Circle - Area of Hollow Circle

=

[tex]1156\pi {mm}^{2} - 225\pi {mm}^{2} \\ = 931\pi {mm}^{2} [/tex]

Volume of Cylinder = Area of Metal base x Height (Length in this case)

=

[tex]931\pi {mm}^{2} \times 40 \\ = 37240\pi {mm}^{3} [/tex]

Answer:

y = 3x + 1

Step-by-step explanation:

y = 3x + 1 because the slope enters at 1, rise/run

Answer:

Subtraction

Step-by-step explanation:

In general, there are two things you can do with savings:

withdraw or deposit.

Withdraw essentially means to take out money and deposit is converse.

These two processes can be associated with the mathematical operations subtraction and addition respectively.

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

Answer:

You're lucky I have the dot plot, other wise this could not be answered.

Median: 7.5

Mean: 7.5

Yes, they are both 7.5.

Answer:

6

Step-by-step explanation:

The remainder when 8 divides 894 is 6. So, she will be left with 6 flowers.

Answer:

option D

Step-by-step explanation:

Step-by-step explanation:

[tex] - 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9[/tex]

Therefore ranking them from least to most:

[tex] - 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)[/tex]

Answer:

12 = 1/2(x)(5x - 2)

Bonus solution for x = 2.4 ft

Step-by-step explanation:

area = 1/2xh

h = 5x - 2

12 = 1/2(x)(5x - 2)

24 = 5x² - 2x

5x² - 2x - 24 = 0

x² - 0.4x - 4.8 = 0

(x - 2.4)(x + 2) = 0

x = 2.4

Answer:

5x^2 − 2x − 24 = 0

Step-by-step explanation:

Answer:

The line with a slope of 1/2 is steeper

Step-by-step explanation:

Here, we want to get which slope is steeper

mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes

The line with a slope that is of greater value will be steeper

Mathematically, 1/2 is a greater number than 1/3

That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line

Answer:

4xy + 4x² + 4xz

Step-by-step explanation:

4x(y+x+z)

4xy + 4x² + 4xz

Answer:

4xy+4x^2+4xz

Step-by-step explanation:

You would just factor the first 4x to the rest of the terms and if they are different letters just tack them on at the end, in the case of 4x times x it would square to 4x^2

Answer:

Hence Brand B is the better buy, since the unit cost is smaller than A

Step-by-step explanation:

Given data

Brand A

Has a pack of 28 pencils for $5.29

unit cost

=5.29/28

=$0.19

Brand B

Has a pack of 48 pencils for $8.47

unit cost

=8.47/48

=$0.18

Answer:

-85

Step-by-step explanation:

We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.

This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].

Of course [tex]a_{1}[/tex] is equal to 1. Therefore,

[tex]a_{1[/tex] = 1

[tex]r=[/tex]

[tex]n=[/tex]

(-2) is the change per number in the sequence, therefore -2 is our "r".

[tex]a_{1[/tex] = 1

[tex]r=-2[/tex]

[tex]n=[/tex]

The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".

[tex]a_{1}=1[/tex]

[tex]r=-2[/tex]

[tex]n=8[/tex]

Use the geometric sequence sum formula and substitute :

[tex]a_{1} \frac{1-r^n}{1-r}[/tex]

[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]

[tex]1* \frac{1-(-2)^8}{1+2}[/tex]

[tex]1* \frac{1-256}{1+2}[/tex]

[tex]1* \frac{-255}{3}[/tex]

[tex]1 * -85[/tex]

[tex]-85[/tex]

Answer and Step-by-step explanation:

1. Figure A, B, and C are Parallelograms

2. Figure A and C are Rectangles

3. Figure A is a Square

#teamtrees #PAW (Plant And Water)

Answer:

1) a, b, & c      

2) a & c

3) a & c

Step-by-step explanation:

Answer:

Yes you're right, it does

Answer:

32x - 8

Step-by-step explanation:

A = LW

A = (8x - 2)(4)

A = 32x - 8

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (- 2, 1)

m = [tex]\frac{1+5}{-2-4}[/tex] = [tex]\frac{6}{-6}[/tex] = - 1

Answer:

-1

Step-by-step explanation:

To find the slope, plug the values of x and y into the slope formula.

y2 - y1 / x2 - x1

1 - (-5) / - 2 - 4

6 / -6

= -1

I think 1700000000000000000

Answer:

QR = 11

Step-by-step explanation:

Q and R are on a vertical line.  Therefore, QR = 9 - (-2) = 9 + 2 = 11