3. 3(2x - 1) + 4 = 3 - 5(1 - x)

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Answer:

V=lbh=2.4×3×6=43.2cm^3

We are given a candy batband we are given its dimensions

We need to find it's volume

Volume of a cuboid is given by l×b×h

Volume = length × breadth × height

Volume = 2.4 × 3 ×6

Answer:

y=3

Step-by-step explanation:

good luck

The scatter plot shows a correlation.

The bulb wattage is the independent variable.

Heat is the dependent variable.

Options A, C, and D are the correct answers.

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

From the scatterplot,

We see that,

The bulb wattage is the independent variable.

Heat is the dependent variable.

Now,

As the bulb wattage increases, the heat also increases.

This means,

It shows a correlation.

Thus,

The scatter plot shows a correlation.

The bulb wattage is the independent variable.

Heat is the dependent variable.

Learn more about scatterplots here:

https://brainly.com/question/7219025

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The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]s = 120 - 12r[/tex]

A linear equation is represented as:

[tex]y = c + mx[/tex]

Where

[tex]c =y\ intercept[/tex] and

[tex]m = slope.[/tex]

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

[tex]s = 120 - 12r[/tex]

[tex]s = 120 - 12 * 5[/tex]

[tex]s = 120 - 60[/tex]

[tex]s = 60[/tex]

60 miles traveled

Solving (b): s = 36

[tex]s = 120 - 12r[/tex]

[tex]36 = 120 - 2r[/tex]

Collect like terms

[tex]2r =120 -36[/tex]

[tex]2r =84[/tex]

Solve for r

[tex]r = 42[/tex]

42 gallons used

Answer:

11

Step-by-step explanation:

Perimeter of the triangle = 45

x + x + 7 + x + 5 = 45

3x + 12 = 45

3x = 45 - 12

3x = 33

x = 33 /3

x = 11

Hope it will help:)

Step-by-step explanation:

60x60+32x32=4624

✓4624

68

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Answer:

B=12.2

C=5.4 is your answer

Answer:

The population size is relatively small In total population sampling, researchers choose to study the entire population because the size of the population that has the particular set of characteristics that we are interest in is typically very small. Therefore, if you failed to include a small number of units (e.g., people) in your research, a significant piece of the puzzle that you are trying to understand may be missing.

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

1) Add x to both sides.

[tex]17 = 1 + 3x + x[/tex]

2) Simplify 1 + 3x + x to 1 + 4x.

[tex]17 = 1 + 4x[/tex]

3) Subtract 1 from both sides.

[tex]17 - 1 = 4x[/tex]

4) Simplify 17 - 1 to 16.

[tex]16 = 4x[/tex]

5) Divide both sides by 4.

[tex] \frac{16}{4} = x[/tex]

6) Simplify 16/4 to 4.

[tex]4 = x[/tex]

7) Switch sides.

[tex]x = 4[/tex]

Therefor, the answer is x = 4.

Given:

A figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]

In the given triangle,

[tex]\tan 62^\circ=\dfrac{x}{35}[/tex]

[tex]1.8807=\dfrac{x}{35}[/tex]

[tex]1.88073\times 35=x[/tex]

[tex]65.82555=x[/tex]

Approx the value to the nearest hundredth (two decimal place).

[tex]x\approx 65.83[/tex]

Therefore, the value of x is 65.83 units.

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

Answer:

49

Step-by-step explanation:

x=180-131=49

Answer:Answer:  

1,482 square feet    

Step-by-step explanation: Find total area - 37 x 46 = 1,702

Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden

Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft

Answer:

Length = 22m

Breadth = 20m

Step-by-step explanation:

Given:

Area = 440 m²

Let the breadth be x m

According to the question:

Length = (x+ 2) m

Area of a rectangle = length × breadth

Substitution the values of area, length and breadth

440 = (x+2) × x

440 = x² + 2x

x² + 2x - 440 = 0

x² + 22x - 20x - 440 = 0

x (x + 22) - 20 (x + 22) = 0

(x + 22)  (x - 20) = 0

x = -22 and 20

Since the value of breadth cannot be in negative, therefore the value of breadth will be 20 m.

Length = (x + 2)

⇒ 20 + 2

⇒ 22 m

Answer:

1:24

Step-by-step explanation:

hope this helped

x = cos (47) = Pi/3, cos 47 = X/3

Step-by-step explanation:

x = 2.05, 2.05 (2.05)²

Answer:

[tex]\huge\boxed{\tt{3}}[/tex]

Step-by-step explanation:

Given the expression:

[tex]\displaystyle \frac{3y+6}{2x}[/tex]

Given that: y = 4 , x = 3

[tex]\displaystyle = \frac{3(4)+6}{2(3)} \\\\= \frac{12+6}{6} \\\\= \frac{18}{6} \\\\= 3\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Certain because the papers are labeled from 1-12 you will always pick out a number less than 15

: 2 even numbers are the successes, (5) is the total probability.

Answer:

58+61=119

180-119=61

61 degrees is the answer

Step-by-step explanation:

Answer:

Hope this helps out ! :D

The possible positive and negative measures are 155° and -205° respectively.

It is given that an angle has a reference angle of 25° and its terminal side lies in Quadrant II.

It is required to find the possible positive measure and negative measure for the angle.

the angle between the terminal side of the angle and the x-axis.

The terminal side lies in Quadrant II.

The positive measure is:

=180-25

=155°.

And the negative measure is:

= 155-360

= -205°.

Thus, the possible positive measure and negative measures are 155° and -205° respectively.

Learn more about the reference angle here:

https://brainly.com/question/16210309

Answer:

0.375 or 3/8

Step-by-step explanation:

You could cross multiply meaning (3 × 4) and (8 × 4) which would equal 3/8

You could also change the fractions to decimals which would be

3/4 = 0.75

4.8 = 0.5

= 0.375

Hope this helps ;)

Answer:

A logical sentence is written as:

If P, then Q.

Where:

P = hypothesis

Q = conclusion.

For this particular case, we know that a number is even only if the number is divisible by 2.

Then we can write:

if a number is divisible by 2, then it is an even number.

Here we have:

hypothesis = a number is divisible by 2.

conclusion = the number even.

Answer:

sorry if u need help, hope u feel better! :)

Answer:

The value of X is 2

Step-by-step explanation:

hope it helps you...

have a great day

Answer:

C. 2

Step-by-step explanation:

on edge

Answer:

1, 1, sqrt of 2

Answer:

Step-by-step explanation:

The circumcenter is the intersection of the perpendicular bisectors.

Find the two equations for the perpendicular bisectors and solve the system for intersection point.

Given the vertices A(-4,6), B(6,6), C(6,2)

Find the slope and midpoint of AB and BC

M(AB) is

Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:

m(BC) is undefined as x-coordinates are same, so the segment is vertical

M(BC) is

Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:

The intersection of the lines x = 1 and y = 4 is the point (1, 4)

The circumcenter is point (1, 4)