McKenzie works for a catering company. She is making iced tea for an upcoming event. For each container of tea, she uses 16 tea bags and 3 cups of sugar. If McKenzie uses 64 tea bags how many cups of sugar will she use?

Answer:

x=-2

y=2

Step-by-step explanation:

-3x+y=8

+3x     +3x

y=8+3x

3x+5(8+3x)=4

3x+40+15x=4

18x+40=4

     -40   -40

18x=-36

x=-2

-3(-2)+y=8

6+y=8

-6     -6

y=2

the answer is x=8

I hope this helped

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. [tex]Distance = 3682km[/tex]

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. [tex]L < 38m[/tex]

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

[tex]Perimeter = 160[/tex]

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]

This gives:

[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]

Collect Like Terms

[tex]160 -1-2-3= x+x+x+x[/tex]

[tex]154= 4x[/tex]

Divide both sides by 4

[tex]38.5 = x[/tex]

[tex]x =38.5[/tex]

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: [tex]Inzo = 10 + Miz[/tex]

Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)

Required: Determine their present ages

Substitute [tex]10 + Miz[/tex] for Inzo in the second equation

[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]

[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]

Multiply both sides by 3

[tex]3Miz - 15 = Miz + 5[/tex]

Collect Like Terms

[tex]3Miz -Miz = 15 + 5[/tex]

[tex]2Miz= 20[/tex]

Divide both sides by 2

[tex]Miz = 10[/tex]

Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]

[tex]Inzo = 10 + 5[/tex]

[tex]Inzo = 15[/tex]

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

[tex]Speed = 100kph[/tex]

[tex]Time = t[/tex]

Local Train:

[tex]Speed = 45kph[/tex]

[tex]Time = t + 45[/tex]

Required: Determine the distance between A and B

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

For the express train:

[tex]Distance = 100 * t[/tex]

For the local train

[tex]Distance = 45 * (45 + t)[/tex]

Distance between both stations are equal; So,

[tex]100 * t = 45 * (45 + t)[/tex]

[tex]100 t = 2025 + 45t[/tex]

Collect Like Terms

[tex]100 t -45t= 2025[/tex]

[tex]55t= 2025[/tex]

Divide by 55

[tex]t = 36.82[/tex]

Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]

[tex]Distance = 100 * 36.82[/tex]

[tex]Distance = 3682km[/tex]

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: [tex]n + n + 2 > 24[/tex]

Sum less than 60: [tex]n + n + 2 < 60[/tex]

So, we have:

[tex]n + n + 2 > 24[/tex]

[tex]2n + 2 > 24[/tex]

Collect Like Terms

[tex]2n > 24-2[/tex]

[tex]2n > 22[/tex]

[tex]n > 11[/tex]

[tex]n + n + 2 < 60[/tex]

[tex]2n + 2< 60[/tex]

Collect Like Terms

[tex]2n < 60-2[/tex]

[tex]2n < 58[/tex]

Divide by 2

[tex]n<29[/tex]

So, we have:

[tex]n > 11[/tex] and [tex]n < 29[/tex]

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

[tex]Perimeter < 152m[/tex]

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

[tex]Perimeter =4 * L[/tex]

[tex]Perimeter =4 L[/tex]

So, we have:

[tex]4L < 152m[/tex]

Divide through by 4

[tex]L < 38m[/tex]

Hence, length is less than 38m (e.g. 37m)

The solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters, square feet, square inches, and other similar units are used to measure area.

The problem is actually, a riddle(Joke) and the solution to the problem is Area rugs.

Thus, the solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.

Learn more about the Area:

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Answer:

(-3, 2)

x=-3, y=2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. and thats how you get your answer :)

The value of x is -3 and value of y is 2.

The given equations are:

6x + 6y=-6 ..(1)

5x + y=-13...(2)

From equation (2)

y=-13+5x..(3)

Plug in equation in equation (1):

6x + 6(-13+5x)=-6

6x-78+30x=-6

24x=-72

Divide both sides by 24:

x=-72/24

x=-3

Now put x=-3 in equation (2):

5(-3) + y = -13

-15 + y = -13

y = -13 + 15

y = 2

Hence, the value of x is -3 and value of y is 2.

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Answer:

Any 3 trinalges

Step-by-step explanation:

total triangles= 9

1/3 of 9 = 1/3 x 9 =  3

So, shade 3 triangles

I hope im right!1

Step-by-step explanation:

There are total 9 parts of the triangle

⅓ of 9 is 3.

Therefore shade any 3 parts.

Answer:

WHY?

Step-by-step explanation:

i need 1 MORE BRAINLIEST!!!

Answer:

area of triangle=1/2 base×height=1/2 8×14=56cm²

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The brand (M) will become more reliable as the standard deviation of an (M) brand will be much lower than the standard deviation of (G) brand.

such as four years,

Calculating the z score for G brand[tex]= \frac{(4-3)}{1} = \frac{1}{1} = 1[/tex]

Calculating the z score for M brand[tex]= \frac{(4-3)}{(\frac{1}{3})} = \frac{(1)}{(\frac{1}{3})} = 1 \times \frac{3}{1}= 3.[/tex]

Because the z mark of the (G) brand is less, it is much more probable that the (G) Brand could last four years. It is because the variability of the (G) brand is very high, which allows lasting longer by expanding its expansion.

Answer:

a) 75/3=25/1

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

pls give me brainlest

Answer:

x=3.2

Step-by-step explanation:

The value of the function at x =1 is -5.5.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is y = 2.5x - 8. The value of the function will be calculated as,

At x = 1 the value of y will be,

y = 2.5 x - 8

y = ( 2.5 x 1 ) - 8

y = 2.5 - 8

y = -5.5

To know more about function follow

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it's A

between J and L it 3 units

between L and K it 4

Answer:

We cant see what you are talking about we cant see the equation

Step-by-step explanation:

Step-by-step explanation:

106+94+135+5 = 340

540-340=200

200/2= 100

X = 100

Answer:

it would be 540 degrease i just took the qiuz in first pd. an got it right lol

Step-by-step explanation:

Answer:

x^2+3x+1/3

Step-by-step explanation:

the term with the highest degree comes first, then alphabetical order based on variables, then normal terms.

Answer:

$360

Step-by-step explanation:

Gains represents additions to her account while losses represent substractions

-$500

+740

+120                                                                                                                        ________

$360

Answer:

Step-by-step explanation:

number of ways=6×5×4=120

Answer:

x = (y - 14) / 2

Step-by-step explanation:

2x + 14 = y

2x = y - 14

x = (y-14)/2

Answer:

360%

if not u question isnt correct

hope this might help you

Answer: Multiply the base by the height

for example A=B x H

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

s^2 = 34^2+16^2-2(34)(16)\cos 56

s

2

=34

2

+16

2

−2(34)(16)cos56

Plug in values.

s^2 = 1156+256-2(34)(16)(0.559193)

s

2

=1156+256−2(34)(16)(0.559193)

Square and find cosine.

s^2 = 1156+256-608.40188

s

2

=1156+256−608.40188

Multiply.

s^2 = 803.59812

s

2

=803.59812

Add.

s=\sqrt{803.59812} \approx28.348 \approx28

s=

803.59812

​

≈28.348≈28

Answer:

4

Step-by-step explanation:

Subtract 6 to both sides so you can get -12. Next divide -3 from x and -12. Finally your answer should be positive 4. Mark me brainily please if it is correct

Answer:

400%

Step-by-step explanation:

Original wieght = 12

New weight  = 60

Change = 60- 12= 48

Change percent =  change / original x 100 = 48 / 12 x 100 = 400 %

I hope its right!!!! :)

Answer:

$43.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

Answer:

We'd need to see the full circle to answer

Step-by-step explanation: