To win the recycling contest, you must collect a total average between 83 and 87 pop tabs for 4 weeks, inclusive. Suppose you collected 82, 86, and 84 pop tabs during the first three weeks of competition. What are the possible number of pop tabs you can collect during the last week in order to win the recycling contest?

Write an inequality where X is the number of pop tabs you can collect during the last week. Then solve to find out the possible number of pop tabs you can collect.

Answer:

1. (1, 3), (2, 5), (2, 7) (4,9)  No

2. (1, 3), (2, 5), (3, 7) (4,9)  Function

3. (1, 3), (1,5), (1, 7) (4, 9)  No

4. (1,3), (2, 3), (3, 3) (4, 3)  Function

5. (1, 2), (2, 5), (2, 1) (4, 5) No

Step-by-step explanation:

If you see the same x-coordinate more than once in a relation, then that relation is not a function.

1. (1, 3), (2, 5), (2, 7) (4,9)  The 2 is used more than once as a x-coordinate. Not a function.

2. (1, 3), (2, 5), (3, 7) (4,9)  All x-coordinates are different. Function.

3. (1, 3), (1,5), (1, 7) (4, 9)  The 1 is used more than once as an x-coordinate. Not a function.

4. (1,3), (2, 3), (3, 3) (4, 3)  All x-coordinates are different. Function.

5. (1, 2), (2, 5), (2, 1) (4, 5) The 2 is used more than once as a x-coordinate. Not a function.

Answer:

7= 2 4/5         8=2/21           9= 6 3/7          10= 1/6            11= 7/5           12=77/90

Step-by-step explanation:

3 1/5= 16/5-2/5=14/5 which equals to the same thing to 2 4/5

5/3= 35/21

11/7= 33/21

35/21-33/21= 2/21

3 3/4=15/4 times 12/7 straight ahead which is 180/28 equals to the same thing as 45/7 = 6 3/7

1/5 times 7/1 so u flip it over as u can see which is 7/5

2 1/5= 11/5    2 4/7= 18/7       11/5 times 7/18=77/90

Answer: L = R (The second one)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got it right

Answer:

B. 4

Step-by-step explanation:

Hypotenuse (h) = 5

base (b) = 3

perpendicular (p) = a = ?

We know by using Pythagoras theorem we get

p = √( h² - b²)

= √ ( 5² - 3²)

= √ (25 - 9)

= √16

= 4

Hope it will help :)

Answer:

B

Step-by-step explanation:

B is the right answer....you can use pythagoras theorem to get that i.e a=√5^2-3^2

Answer:

12 going across from point A to B and A to c is 14 so... 12+14=26

hope this helps!!! :)

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

domain: (- infinity, infinity) range:( 0, infinity)

Step-by-step explanation:

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that [tex]\dfrac{AD}{DB}=\dfrac{AE}{EB}[/tex]

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

[tex]\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8[/tex]

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

Answer:

Option C- 8

Explanation:

Plug it in- Hope this helps :)

Answer:

The answer is yes

Step-by-step explanation:

12=a

9=b

15=c

a+b=c

Step-by-step explanation:

2(x+8)

2x+16..................

Answer:

1

Step-by-step explanation:

2+0=2 so 2 times 1/2 is 1

Answer:

6

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

they are both equal to 3:4

21:28 can be reduced by 7

21/7=3

28/7=4

and 6:8 can be reduced by 2

6/2=3

8/2=4

Answer:

3589.85763 meters

Step-by-step explanation:

Essentially, we must have e^(-0.00012h) = 0.65 since 0.65 = 65%

Taking natural log of both sides, we get

-0.00012h = -0.430782916

0.00012h = 0.430782916

h = 3589.85763

Answer:

3589.8 Meters

Step-by-step explanation:

II used a graphing caculator that I had. Let me know if I need to write it out for you. Have a great day!

Answer:

12

Step-by-step explanation:

The coefficient is the number that comes before variables. In this case, there is only one variable so it is 12.

I hope this was helpful, and if my answer was correct, please mark this as brainliest! Thank you!

Answer:12is the coefficient of a

Step-by-step explanation:

Answer:

Team Nara collected more water

1.402 > 1.045

so team nara wins

Team Narra is collected more amount of water than Team Mahogany and this can be determined by using the given data.

Given :

The following steps can be used to determine which team collected more amount of water in a cup:

Step 1 - Remember that the amount of water collected by Team Narra is 1.402 liters.

Step 2 - Also remember that the amount of water collected by Team Mahogany is 1.045 liters.

Step 3 - Now, compare both quantities of water.

1.045 < 1.402

So, according to the given data Team Narra is collected more amount of water than Team Mahogany.

For more information, refer to the link given below:

https://brainly.com/question/22687297

Answer:

$25.58

Step-by-step explanation:

39 * 0.45= 17.55

43.13 - 17.55= $25.58

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}}[/tex] :

[tex] \underline{ \underline{ \text{To \: prove}}} : [/tex]

[tex] \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd} = \sqrt{(a - b - c)(b - c - d)} } [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Left hand side ( L.H.S ) :

[tex] \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd}} [/tex]

⟶ [tex] \tt{ \sqrt{d {k}^{3} \cdot \: d {k}^{2} } - \sqrt{d {k}^{2} \cdot \: dk } - \sqrt{dk \cdot \: d} }[/tex]

⟶ [tex] \tt{ \sqrt{ {d}^{2} {k}^{5} } - \sqrt{ {d}^{2} {k}^{3} } - \sqrt{ {d}^{2}k } }[/tex]

⟶ [tex] \tt{ \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: {k}^{2} \cdot \: k } - \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: k \: } - \sqrt{ {d}^{2}k } }[/tex]

⟶ [tex] \tt{ \sqrt{ {d}^{2} } \cdot \sqrt{ {k}^{2} } \cdot \: \sqrt{ {k}^{2} } \cdot \: \sqrt{k} } - \sqrt{ {d}^{2} }\cdot \: \sqrt{ {k}^{2}} \cdot \: \sqrt{k} \: - \sqrt{ {d}^{2} } \cdot \: \sqrt{k} [/tex]

⟶ [tex] \tt{d {k}^{2} \sqrt{k} - dk \sqrt{k} - d \sqrt{k} }[/tex]

⟶ [tex] \tt{ d\sqrt{k} \: ( {k}^{2} - k - 1) } [/tex]

Right Hand Side ( R.H.S) :

[tex] \tt{ \sqrt{(a - b - c)(b - c - d)}} [/tex]

⟶ [tex] \tt{ \sqrt{(d {k}^{3} - d {k}^{2} - dk)( d{k}^{2} - dk - d)} }[/tex]

⟶ [tex] \tt{ \sqrt{ \{dk( {k}^{2} - k - 1) \} \: \{d( {k}^{2} - k - 1) \}} }[/tex]

⟶ [tex] \tt{ \sqrt{ {d}^{2}k( {k}^{2} - k - 1) ^{2} } } [/tex]

⟶ [tex] \tt{ \sqrt{ {d}^{2}k } \cdot \: \sqrt{ {( {k}^{2} - k - 1)}^{2} } } [/tex]

⟶[tex] \tt{ \sqrt{ {d}^{2} } \cdot \: \sqrt{k} \cdot \: \sqrt{( {k}^{2} - k - 1) ^{2} } }[/tex]

⟶ [tex] \tt{d \sqrt{k} \: ( {k}^{2} - k - 1) } [/tex]

L.H.S = R.H.S

Hence , Proved !

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

x = 12

Step-by-step explanation:

it's indicated that all angles of this triangle are congruent; this means the triangle is called a 60-60-60 where all angles are 60 degrees.

If a triangle is equiangular then it is also equilateral, which means that if all angles are equal then all sides are equal.

Answer:

h=60 2h=120

Step-by-step explanation:

the sum of 4 angles of a quadrilateral is 360 degree. so h+h+2h+2h=360

h=60 and 2h=120

Answer:

I hope it helps mate

as I promised I will help you

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

Answer:4x

Step-by-step explanation:

Answer:

At the beginning, she has 25lb of flour.

Each week, she ses (5 + 3/5) pounds of flour.

Then after the first week, she has a total of:

W(1) = 25lb - (5 + 3/5)lb

After another week, she has:

W(2) = 25lb - (5 + 3/5)lb - (5 + 3/5)lb = 25lb - 2*(5 + 3/5)lb

and so on.

if x represents the number of weeks, the equation is:

W(x) = 25lb - x*(5 + 3/5)lb

where x can be {0, 1, 2, 3, 4}

That is the equation that represents the change in the weight for the first four weeks.

Answer:

400 miles

Step-by-step explanation:

5 hours is double 2.5 hours so double 200 to get 400

Answer:

see explanation

Step-by-step explanation:

this is complex statement. coz this statement contain independent clause.

Answer:

-2/3

Step-by-step explanation:

slope formula:

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

Given:

[tex]m\angle L=m\angle Z=70^\circ[/tex]

[tex]m\angle N=m\angle Y=90^\circ[/tex]

To find:

The value of [tex]m\angle 1[/tex].

Solution:

In triangle XYZ,

[tex]m\angle Y=m\angle N=90^\circ[/tex]        (Given)

[tex]m\angle Z=m\angle L=70^\circ[/tex]         (Given)

[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex]        [Angle sum property]

[tex]m\angle 1+90^\circ+70^\circ=180^\circ[/tex]

[tex]m\angle 1+160^\circ=180^\circ[/tex]

[tex]m\angle 1=180^\circ-160^\circ[/tex]

[tex]m\angle 1=20^\circ[/tex]

Therefore, the [tex]m\angle 1[/tex] is 20°.

Answer:

a) 18 quarts of sparkling water

b) 1.875 quarts of grape

Step-by-step explanation:

Question 2 Fill in the blanks to complete the sentence.

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.

a. How much sparkling water would you need to mix with 9 quarts of grape juice?

3/4 quarts of grape = 1 1/2 quarts sparkling water

9 quarts of grape = x

x = (9 × 1 1/2) ÷ 3/4

x = (9 × 3/2) × 4/3

x = 27/2 × 4/3

x = 18 quarts of sparking water

b. How much grape juice would you need to mix with 15/4 quarts of sparkling water?

1 1/2 quarts of sparkling water = 3/4 quarts of grape

1 5/4 quarts of sparkling water = x

x = (3/4 × 15/4 ) ÷ 1 1/2

x = (0.75 × 3.75 ) ÷ 1.5

x = 1.875 quarts of grape

c. How much of each ingredient would you need to make 100 quarts of punch?

Round your answer to the nearest whole quart. sparkling water: quarts grape juice: quarts