Complete sheet given

Answer:

b or c i think

Step-by-step explanation:

not for sure just a guess

Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

i am going to answer question 1, so q1 is a number line

13

1) Evaluating that equation, we have

3(t - 4) = 2t + 1 Distribute the factor 3

3t -12 = 2t+1 subtract 2t from both sides

3t -2t -12 = 1 Add 12 to both sides

t=1+12 Add those constants

t=13

2) Note that in this equation, t is 13 units, i.e. the Solution Set S={13}

Answer:

15 shirts

Step-by-step explanation:

Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same

A: 12.5 + 0.40x

B: 14.75 + 0.25x

12.5 + 0.40x = 14.75 + 0.25x

subtract 12.5 from both sides:

12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5

0.40x = 2.25 + 0.25x

subtract 0.25x from both sides:

0.40x - 0.25x = 2.25 + 0.25x - 0.25x

0.15x = 2.25

divide both sides by 0.15:

0.15x/0.15 = 2.25/0.15

x = 15

Answer:

I'm sorry

Step-by-step explanation:

I don't know . Thank you

Answer:

$7.80

Step-by-step explanation:

Find the unit price by dividing 3.25 by 5.

3.25 ÷ 5 = 0.65

Now that you have the unit price, multiply it by 12 to find the total price of the 12 markers.

0.65 × 12 = 7.80

Thus, 12 of the same markers that Ahmed bought will cost $7.80.

The cost of 12 markers is given by the equation A = $ 7.80

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of markers be n = 5

The cost of 5 markers = $ 3.25

So , the cost of 1 marker = cost of 5 markers / 5

On simplifying the equation , we get

The cost of 1 marker = 3.25 / 5

The cost of 1 marker = $ 0.65

Now , the cost of 12 markers = 12 x cost of 1 marker

Substituting the values in the equation , we get

The cost of 12 markers A = 12 x $ 0.65

The cost of 12 markers A = $ 7.80

Hence , the equation is A = $ 7.80 , where A is the total cost of markers

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The area of the right triangle is 18.02 cm².

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sum of angles in a triangle is 180 degrees.

Therefore, let's find the area of the right angle triangle as follows;

let's find the height and base of the triangle.

using trigonometric ratios,

cos 75 = adjacent / hypotenuse

cos 75 = base / 12

base = 3.10582854123

Therefore,

sin 75 = opposite / hypotenuse

sin 75 = h / 12

height = 11.5911099155

height = 11.59

Therefore,

area of the triangle = 1 / 2 × 3.11 × 11.59

area of the triangle = 36.0483518371 / 2

area of the triangle = 18.0241759186

area of the triangle = 18.02 cm²

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Answer:

As X -> ∞, then y -> - ∞

Step-by-step explanation:

If you look at the right-most part of the graph, you'll see X is increasing, while the Y value is decreasing

The algebraic expression for Desmond's height is x + 5.

If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.

So the algebraic expression for Desmond's height is x + 5.

Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).

They can contain one or more variables and can be evaluated for different values of the variables.

For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.

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Your actual bedroom is 23.75 feet long.

If the length of your bedroom on the blueprint is 3 inches and the scale used is 1 to 95, we can use proportions to determine the actual length of your bedroom in feet.

Let's set up the proportion using the given information:

1 inch on the blueprint corresponds to 95 inches in reality.

3 inches on the blueprint corresponds to x inches in reality, where x represents the actual length of your bedroom in inches.

Using the proportion:

1 inch on blueprint / 95 inches in reality = 3 inches on blueprint / x inches in reality

By cross-multiplying:

1 * x = 95 * 3

x = 285 inches

Now, to convert inches to feet, we divide the length in inches by 12:

285 inches / 12 = 23.75 feet

It's important to note that when dealing with blueprints and scales, it is crucial to carefully follow the scale ratio to accurately determine real-life measurements. In this case, the proportion and conversion allowed us to determine the length of your bedroom in feet based on the given blueprint scale.

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Answer:

2 hours

Step-by-step explanation:

If Thomas can paint 1/3 = 2/6 of the room in a hour and Brian can paint 1/6 of the room in an hour. Which means in an hour they can collectively paint 3/6 = 1/2 of the room. Now you need to find how long it would take then to paint 2/2 of the room. Knowing that 1/2+1/2 = 2/2, it would take them 2 hours to paint the room together

Answer:

  dh/dt ≈ 0.55 ft/min

Step-by-step explanation:

The volume is given by the formula ...

  V = (1/3)πr²h

We have r = h/2, so the volume as a function of height is ...

  V = (1/3)π(h/2)²h = (π/12)h³

Then the rates of change are related by ...

  dV/dt = (π/4)h²·dh/dt

  dh/dt = (4·dV/dt)/(πh²) = 4(35 ft³/min)/(π(9 ft)²)

  dh/dt ≈ 0.55 ft/min

Answer:

0=0

Step-by-step explanation:Let's solve your equation step-by-step.

3(x+1)−1=3x+2

Step 1: Simplify both sides of the equation.

3(x+1)−1=3x+2

(3)(x)+(3)(1)+−1=3x+2(Distribute)

3x+3+−1=3x+2

(3x)+(3+−1)=3x+2(Combine Like Terms)

3x+2=3x+2

3x+2=3x+2

Step 2: Subtract 3x from both sides.

3x+2−3x=3x+2−3x

2=2

Step 3: Subtract 2 from both sides.

2−2=2−2

0=0

mp

Answer:

10) area of 130° segment  4.5 in²

Step-by-step explanation:

10) area of full circle = πr² = (3.14)(2²) = 12.56 in²

area of 130° segment = (130/360)(12.56) = 4.54 in²

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Answer:

BT=CT the first one because BAT=CAT and bc cut the similar vector between these two triangle

Answer:

205

Step-by-step explanation:

Given

N(t) = 100 + 15t is the equation of the relation.

We're asked to find N(7)

Taking a look at the question again and putting it side by side the equation

N(t)

N(7)

We can deduce that t = 7, and as such, solve for it in the equation given

N(7) = 100 + 15(7)

N(7) = 100 + 105

N(7) = 205

Therefore, the number of unread mails after 7 days will be 205

Answer:

1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5

Step-by-step explanation:

Given the sample observations : 15, 16, 12, 8, 6, 9

Zscore for each sample Observation :

Zscore = (x - mean) / standard deviation

(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11

Mean value (m) = 11

Standard deviation (s) = 5

Sqrt[(x - m)^2 / (n - 1)]

[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)

= 80/5 = 16

Sqrt(16) = 4

Zscore = (x - mean) / standard deviation

x = 15

Zscore = (15 - 11) / 4 = 1

x = 16

Zscore = (16 - 11) / 4 = 1.25

x = 12

Zscore = (12 - 11) / 4 = 0.25

x = 8

Zscore = (8 - 11) / 4 = - 0.75

x = 6

Zscore = (6 - 11) / 4 = - 1.25

x = 9

Zscore = (9 - 11) / 4 = - 0.5

Solution

For this case we can do the following:

And thats equivalent to:

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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The expression given relating to the take all have an equivalent ratio of 1:5.

It should be noted that ratio is simply used to show the comparison between two or or more things.

In this case, in the table, the ratio given will be illustrated as:

2/10 = 1/5 = 1:5

6/30 = 1/5 = 1:5

10/50 = 1/5 = 1:5

12/60 = 1/5 = 1:5

In this case, it should be noted that for every number that was illustrated, we have an equivalent value of 1:5. Therefore, this explains that it's an equivalent ratio.

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The number of possible triangles for the given measurement are two.

A polygon with three sides, vertex and angles refers as a triangle.

Given that, a triangle ABC, where, A = 42° a = 8.2 b = 10.4

We know that, we can determine, how many solutions there will be by using relation between a and bsinA

a > bsinA = two solutions

a < bsinA = no solution

a = bsinA = one solution

Finding relation between a and bsinA

a = 8.2 and b = 10.4 and A = 42°

bsinA = 10.4×sin42°

= 6.96

This gives, bsinA < a

Therefore, we get the case 1st,

Hence, The number of possible triangles is 2.

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The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

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On a number line, 7.05 would be located

From the question, we have the following parameters that can be used in our computation:

Number = 7.05

The analysis of its position s as follows:

So, the true statements are B and C.

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Yes, the above statement is True.

Answer:true

Step-by-step explanation: