The volume of both of these trapezoidal prisms is 24 cubic units. Their heights are 6 and 8 units, as labeled. What is the area of a trapezoidal base of the prism with a height of 6 units?

Answer:

n= 2x-5

Step-by-step explanation:

The Expression for the statement is x= 2y -5.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

A number is five less than twice another number.

let the number be x and the another be y.

So, the mathematical Expression is

five less than twice another number.

= 2y -5

So, the expression is

x= 2y -5.

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Answer:

123847323247647525547824817703412

Answer:

1.016 cm

Step-by-step explanation:

1 inch = 2.54 cm

0.4 inch = 2.54 * 0.4 cm = 1.016 cm

Answer:

Step-by-step explanation:

Hope it helps u!!

The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

7) It is a polygon with 4 sides (quadrilateral)

Sum of the interior angles of a quadrilateral = 360°

45° + 65° + 95° + x = 360°

x = 360° - (45° + 65° + 95°)

x = 155°

8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.

There are 6 sides.

Sum of the interior angles = (6 - 2)180° = 720°

x + 140 + 130 + 120 + 90 + 150 = 720

x = 90°

9) n = 5

Sum of the interior angles = (5 - 2) 180° = 540°

2x + 90 + 100 + 70 = 540

2x = 280

x = 140°

10) Sum of the exterior angles of a polygon is 360°.

4x + x + 98 + 162 = 360

5x = 100

x = 20°

Hence the values of x are found.

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Answer:

Step-by-step explanation:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Your expression is good.

Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.  

Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.

Your verbal expression is good. It refrects your chosen equation.

Part 2: Writing Equivalent Expressions

Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.

Using commutative property of addition, the expression in question 1 can be rewritten as follows:

25(10j + 18 + 5j) = 25(10j + 5j + 18)

Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:

25(10j + 18 + 5j) = 250j + 450 + 125j

Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

Now we can subsitute, say 7 for j.

For the first expression, we have:

25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)

= 25(70 + 35 + 18) = 25(123) = 3,075.

For the second expression, we have:

250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.

Thus, we can see that both expressions are equivalent.

Part 3: Finish the Story

Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Sarah found 3 + 7 = 10 shark teeth.

John found 10 / 2 = 5 shark teeth.

The total money they earned is $5 x 15 = $75.

1) an expression that looks similar would be (could be anything)

4(5j+8+4j)

2) It would become:

four times the sum of five times a number, eight, and four times the same number

3)  equivalents would be 4(9j+8)

or:

4(5j)+4(8)+4(4j)

4) say J=1 for simplicity

4(9+8)

=4x17

=68

next one would be:

4x5+4x8+4x4

=20+32+16

=68

ok, this is correct.

5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.

Step-by-step explanation:

Answer:

I guess u must  not round it off

Step-by-step explanation:

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Answer:

250 rupees

Step-by-step explanation:

Answer: The value of the question mark should be 28 Since Angles are vertically Opposite

Answer:

1 or 5

Step-by-step explanation:

A coefficient is "a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy)".

So, in this case, the coefficient of 5x would be 5.

The coefficient of x^2 would be 1.

Hope this helps!

Answer:

Venn diagrams

Explanation:

A Venn diagram is a widely used diagram style that shows the logical relation between sets.

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

B. -i

I'm not sure abt it but that's the answer that showed up hope that helps

Answer:

-1

Step-by-step explanation:

Answer:

Howard stark or Howard the duck?

Answer:

1st one

Step-by-step explanation:

because it is

Answer:

Option 1

Step-by-step explanation:

In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.

The second one is the first one reversed, so it's ordered from greatest to lowest.

The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.

Answer:

20 fluid ounces

Step-by-step explanation:

165/8

Answer:

J.157 fluid ounces

Step-by-step explanation:

correct me if I'm wrong

Answer:

∠z is 79°

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Answer:

[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]

Answer:

3(9)+20=47

Step-by-step explanation:

47 inches after 9 weeks

Answer: 19/28

Step-by-step explanation:

9/28 participate, so that means that ? dont participate.

28/28 = 1 whole

28 - 9 = 19

so 19/28 students do not participate in after school activities.

Answer: how do I delete my answer?

Step-by-step explanation.

Here's the solution,

=》 C + 112° = 180°

( they form linear pair )

=》 C = 180° - 112°

=》C = 68°

And we know, measure of exterior angle if a triangle is equal to the sum of measures of the opposite interior angles,

So,

=》B = C + 51°

=》B = 68° + 51°

=》B = 119°

Answer:

Step-by-step explanation:

http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf

You can find it in this site

Answer:

1^2+2^2=5

Step-by-step explanation:

Answer is 5..

Answer:

The surface area is 12 square yards.

Step-by-step explanation:

Step-by-step explanation:

supplentary means they add to 180

so you can make the formula 180 = 10x + 80

then solve for x

Answer:

x = 10

Step-by-step explanation:

Supplementary angles add up to equal 180°

Thus, 10x + 80 = 180

Now that we have identified the equation we solve for x

10x + 80 = 180

step 1 subtract 80 from each side

80 - 80 cancels out

180 - 80 = 100

we now have 100 = 10x

step 2 divide each side by 10

100 / 10 = 10

10x / 10 = x

we're left with x = 10

Answer:B

Step-by-step explanation:

just took the test