which of the following statements are true about solving equations

Hi there!

[tex]\large\boxed{\text{A. } 320 cm^3}[/tex]

We can begin by finding the area of the base in order to solve for the volume.

Use the formula for the area of a trapezoid:

A = 1/2(b1 + b2)h

Substitute the given values:

A = 1/2(10 + 6)5

A = 1/2(16)5

A = 40 cm²

Multiply by the depth of the prism to solve for the volume:

40 × 8 = 320 cm³

Answer:

dependant clause I think so I don't know sorry

Answer:

y - x= - 13   -------(1)

- 4x + 3y = -51 -------(2)

(1) => y = - 13 + x

Substitute y in (2)

- 4x + 3( - 13 + x) = -51

- 4x - 39 + 3x = -51

- x = -51 + 39

- x = -12

x = 12

Substitute x in (1)

y = - 13 + x = -13 + 12 = - 1

x = 12, y = -1

According to the property of proportions,

Product of means = Product of extremes

So, simply we did cross multiplication.

Step-by-step explanation:

56/3 is the answer. Refer to the attachment for the solution. :)

Answer:

1 . x 3 +  3 x 2 y  +  3 x y 2  +  y 3

2. x 3 -  3 x 2  y  +  3 x y 2  -  y 3

3. a + b

4 . a - b

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer & Step-by-step explanation:

Simplify the expression.

Exact Form:

7/12

Decimal Form:

0.583

Hope this Helps!!! :)

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Answer:

Step-by-step explanation:

take angle A as reference angle

using tan rule

tan A=opposite/adjacent

tan A=5/12

tan A=0.41

A=tan 22.5

A=22.5

for ratio,

tan A=5/12

Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars

The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.

Therefore,

y = 100x + 50

Using the linear equation model,

y = mx + b

where

Therefore,

slope = 100

y-intercept = 50

Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars

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Answer:

a. y= f(x-1)

Step-by-step explanation:

___________

Answer:

Step-by-step explanation:

Answer:

103.424

Step-by-step explanation:

Answer:

The answwer is 103.424 I am taking this CFA 5th grade test right now because school is almsot going to end.

Step-by-step explanation:

Answer:

The volume of the cone is 25.13, the other one is 167.55

Step-by-step explanation:

v = 1/3pi(2)^2(6)

simplify and divide the above.

v = 25.13

1/3pi(4)^2(10)

= 167.55

Answer:

14

Step-by-step explanation:

The equation to find slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. You plug in the values to get [tex]\frac{8-(-20)}{5-3}[/tex]. This simplifies to [tex]\frac{28}{2}[/tex], which is 14.

Answer:

Independent  [tex]\to[/tex]  Domain

Dependent [tex]\to[/tex] Range

Step-by-step explanation:

Required

Fill in the gaps

A function is represented as:

[tex]y = f(x)[/tex]

Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).

Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.

Answer:

B. four less than three times a number

Answer:

B)

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. F(d), models the fee (in dollars) for climbing d meters. F(d)=110+0.12d, What is the increase in price for every 100 meters climbed?

Given:

F(d) = 110 + 0.12d

Where,

F(d) = the fee (in dollars)

d = number of meters climbed

What is the increase in price for every 100 meters climbed?

F(d) = 110 + 0.12d

$110 is the fixed fee

0.12 is the increase in price per meter.

Increase in price per 100 meters climbed = 0.12d

= 0.12 × 100

= 12

Increase in price per 100 meters climbed = $12

Answer:

the first one

Step-by-step explanation:

To find the answer we want to find the volume of each rectangular prism

Which ever prism has an exact volume of 98 is the correct answer

( note that volume of a rectangular prism = length times width times height )

For the first answer choice

4 * 3.5 * 7 = 98

We get an outcome of 98, which means that the first one could possibly be the correct answer however lets find the volume of the rest of the prisms just to be safe.

For the second one

6.25 * 7 * 2 = 87.5

87.5 ≠ 98 therefore the second choice is not correct

For the third one

3 * 6.5 * 5 = 97.5

97.5 ≠ 98 therefore the third choice is not correct

For the fourth one

7.5 * 1 * 14 = 105

105 ≠ 98 therefore the fourth choice is not correct

So we can conclude that the first answer choice is correct

Answer:

63/100

Step-by-step explanation:

Im Pretty sure this the correct answer

Answer:

40 %

Step-by-step explanation:

the difference between cost and selling price:

91 - 65 = 26

Find the percentage:

26/65 = 0.4 --> 40%

Markup = 40%

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

-1.3+2 that is point A to find ir

Answer:

5x² + 13x - 6

Step-by-step explanation:

F - First ( multiply the first terms from each bracket )

I - Inner ( multiple the last term of the first bracket and the first term of the second bracket )

O - Outter ( multiply the outer terms i.e the first term of the first bracket with the last term of the 2nd bracket )

L - Last ( multiply the last terms of the brackets i.e the last term in the second bracket and the last term in the second bracket )

dont forget to take sign convention into consideration .

Answer:

tens place

Step-by-step explanation:

543/7≈77.5714285714

the first digit of the quotient is in the tens place

The first digit of the quotient is in tens place.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Jake wants to distribute 543 marbles equally among 7 of his friends.

Now,

Since, Jake wants to distribute 543 marbles equally among 7 of his friends.

Hence, Number of marbles get by each friend = 543/7

                                                                         = 77.57

Thus, The first digit of the quotient is in tens place.

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The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .

Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.

According to the given problem,

let , b = is the width of the fish tank

h = is the height of the fish tank given that , hold at least 35 cubic feet of water .

so ,

4×b×h ≥ 35

⇒ h ≥ 35/4b

now , surface area of the fish tank

⇒ 4b + 2× 4h + 2× bh

now substitute the value of h

here

⇒ ≥ 4b +70/b + 35/2

⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )

therefore ,

= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,

h = 35 / 4 × 4 = 2.1875 round off h = 2

so , the minimum surface area of fish tank is

⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48

hence , the height and the width of the fish tank is 2 and 4 .

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Answer:

number 2 is the answer by looking at the slopes of the lines.

Answer:

D

Step-by-step explanation:

The very first thing you have to realize is that the temperature goes further down the minus scale which means that only A and D can be correct. That's because time in this question is positive.

So if you just try the first value (x = 3), you will get

-3/2 * 3 = -9/2 which would mean that you would add -4 1/2 onto - 10 which is much larger than - 10

A: is not the answer.

-2/3 * 3 - 10 = -6/3 - 10 = -2 - 10 = - 12

That is the answer you should get. The answer is D.

Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

Answer:

x=9

Step-by-step explanation:

−4(2x+5)+5x−1= −48

-8x-20+5x-1=-48

-3x-21=-48

-3x=-27

x=-27/-3

x=9

Answer:

2018

Step-by-step explanation: