Match each mathematical description with its algebraic expression.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
- a
2x + 1r
2x - 11
2x + 11
✓x2 - 11
Pairs
the absolute value of twice a number increased by 11
the square root of the difference of the square of a number and 11
the quotient of two times a number and -11
the sum of the square root of two times a number and 11

Answers

Answer 1

The mathematical descriptions are matched to correct algebraic expressions as below.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The absolute value of twice a number increased by 11.

Let the number be x.

Twice the number is 2x and then increased to 11 means 2x + 11.

Absolute value of this is |2x + 11|.

The square root of the difference of the square of a number and 11.

Square of a number means x².

Difference of the square of a number and 11 means x² -11.

Square root of this is [tex]\sqrt{x^2-11}[/tex].

The quotient of two times a number and -11.

Quotient means the operation is division.

Two times a number means 2x.

The quotient of this and 11 is - 2x/11.

The sum of the square root of two times a number and 11.

Square root of two times a number is [tex]\sqrt{2x}[/tex]

Sum of this and 11 is [tex]\sqrt{2x}[/tex] + 11.

Hence the mathematical descriptions are matched to corresponding expressions.

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Match Each Mathematical Description With Its Algebraic Expression.Drag The Tiles To The Correct Boxes.

Related Questions

The lengths of three sides of a triangle are in the ratio 3: 5:
6. The perimeter of the triangle is 28 cm. Find the lengths
of each side of the triangle.

Answers

Answer:

3x=6. 5x=10. 6x=12

Step-by-step explanation:

the sides are 6,10,12.

Evaluate the expression: |5-6|

Answers

Answer:

1

Step-by-step explanation:

|5 - 6|

|-1| (absolute value changes a negative number to positive)

1

Best of Luck!

Answer:

|5-6| = 1

Step-by-step explanation:

Answer inside the absolute value and you get -1. The aboslute value of -1 is 1.

solve the equation 1-4n+1+3n

Answers



Explain

1 - 4n +1 +3n
(combine like terms)
2-n
(Subtract 2 to other side)
2-n=0
-2. -2

-2=-n
(Divide by negative 1)
-2/1=n/-1

N=1
The answer would be 2-n

4)
Deborah records the number of minutes late, t, for trains arriving at a station.
The histogram shows this information.
30
207
Frequency
density
107
20
10
15
Number of minutes late
(n) Find the number of trains that Deborah recorded
2

Answers

Answer:

a is 25 b is 15 percent

Step-by-step explanation:

During the winter, the amount of water that flows down a river remains at a low constant. In the spring, when the snow melts, the amount of water increases drastically, until it decreases to a steady rate in the summer. The flow then slowly decreases through the fall into the winter. Consider the graphs shown. Which graph best represents the given situation?​

Answers

Answer:

Graph B

Step-by-step explanation:

I did the quiz and got it right

the side elevation of a storage building is mapped on a coordinate grid. which equation could be used to determine the corresponding x value(s) of the roof line when y=8.3?​

Answers

Answer:

The correct option is;

[tex]8.3 = -0.5 \times \left | x -5 \right | + 9[/tex]

Step-by-step explanation:

The coordinates of the roof are;

Starting point, = (1, 7)

Maximum height = (5, 9)

Maximum range = (9, 7)

The slope of the left portion of the roof = (9 - 7)/(5 - 1) = 0.5

The equation of the left portion of the roof is given as follows;

y - 9 = 0.5 × (x - 5)

y = 0.5 × (x - 5) + 9

The slope of the right portion of the roof = (7 - 9)/(9 - 5) = -0.5

The equation of the right portion of the roof is given as follows;

y - 9 = -0.5 × (x - 5)

y = -0.5 × (x - 5) + 9

However, when x < 5, we have;

[tex]0.5 \times \left | x -5 \right |= -0.5 \times \left | x -5 \right |[/tex]

[tex]\therefore y = 0.5 \times \left | x -5 \right | + 9 = -0.5 \times \left | x -5 \right | + 9 = 0.5 \times \left ( x -5 \right ) + 9[/tex]

When x > 5, we have;

[tex]0.5 \times \left | x -5 \right |> -0.5 \times \left | x -5 \right |[/tex]

[tex]\therefore y = -0.5 \times \left | x -5 \right | + 9 = -0.5 \times \left ( x -5 \right ) + 9[/tex]

Therefore, the equation that applies to both the left and right portion of the roof is [tex]y = -0.5 \times \left | x -5 \right | + 9[/tex]

Which gives the correct option as follows;

[tex]y = 8.3 = -0.5 \times \left | x -5 \right | + 9[/tex]

Solve for x : 3x - 7 - 2x + 5 = 6

Answers

3x-7-2x+5=6
-1x-7+5=6
-1x-2=6
-1x-2=6
+2 +2

-1x=8
-1x/-1 = 8/1

x=8

Solve the system of equations using substitution.
3x + y = 12
y = 3x

Answers

Answer:

y=3x⇒equation 1

substitute equation 1 in 3x+y=12

3x+3x=12

6x=12

x=12/6

x=2

hope it helps u!

Explain how to solve 2/3 divided by 1/2 with a tape diagram

Answers

You can take two pieces of tape of the same size and divide the first one into 3 and color in 2 boxes. On the second piece divide it into two and color one box. Put the two pieces of tape next to each other and write down data. Hope this helps

Alicia used 4 gallons of gasoline to travel 90 miles. At the same rate, how far can she travel on a full tank that holds 18 gallons?

Answers

Answer:

405 miles

Step-by-step explanation:

Step 1:

4 : 90 = 18 : x   Proportion

Step 2:

4x = 1620   Multiply

Step 3:

1620 ÷ 4  Divide

Answer:

405 miles

Hope This Helps :)

A car is traveling down a highway at a constant speed, described by the equationd=65t, where d represents the distance, in miles, that the car travels at this speed in t hours.

How many miles does the car travel in 1.5 hours?

Answers

Answer:

97.5 miles

Step-by-step explanation:

you would take 65 and multiply by 1.5

whats the square rot of 666

Answers

Answer:

Around 25.8069758

Find the slope of the line. On a coordinate plane, a line goes through (0, negative 2) and (2, negative 4). a. -1 c. -2 b. 2 d. 1

Answers

Answer: Choice A) Slope = -1

==============================================

Explanation:

The two points given to us are (x1,y1) = (0,-2) and (x2,y2) = (2,-4)

Subtract the y coordinates

y2-y1 = -4-(-2) = -4+2 = -2

Subtract the x coordinates in the same order

x2-x1 = 2-0 = 2

Divide the two results to get the slope m

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

m = -2/2

m = -1

After selling a dozen copies of the daily
newspaper, a newsstand had fewer than
75 copies left. How many copies did the
newsstand have at the beginning of the day?
-inequalities

Answers

I think the newsstand has 87 papers in the beginning of the day
The answer is 87 copies:)

The question is : Find EC

Answers

Answer:

The answer would be 35.

C) None of the other answers are correct

Step-by-step explanation:

You can find EC by subtracting 49 (EB) from 30 (DB) and adding 16(DC).

The difference between a number and 6 is12

Answers

x-6 = 12 is the answer

100 gallons of water at $1.19 per gallon

Answers

Answer:

119

Step-by-step explanation:

just times the numbers

Answer:

100 gallons of water would cost $119

Step-by-step explanation:

Multiply 100 by 1.19 and you get 119.

The cost of 100 gallons of water would be $119.

Solve |x|>-9

Answer choice:
1.) no solution
2.)all reals
3.) {x/x<-9 or x>9}

Answers

Answer:

All Real Numbers

Step-by-step explanation:

........

Multiply. Write answer in simplest form 3/4 x 6/8

Answers

Answer:

[tex]\frac{9}{16}[/tex]

Step-by-step explanation:

Write it out: [tex]\frac{3}{4}[/tex] × [tex]\frac{6}{8}[/tex]  Simplify 6/8, so it now looks like this: 3/4Re-write the expression: 3/4 × 3/44 × 4 = 163 × 3 = 9Write the new fraction: [tex]\frac{9}{16}[/tex]  

I hope this helps!

The expression (3/4 x 6/8) can be written as equivalent to 9/16.

What is fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. Example -  5/9. Here, (5) is called numerator and (9) is called denominator.

Given is the following expression -

3/4 x 6/8

The given expression is -

3/4 x 6/8

We can write -

(3 x 6)/(4 x 8)

18/32

Reducing to simple terms, we get -

9/16

Therefore, the expression (3/4 x 6/8) can be written as equivalent to 9/16.

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a paint store makes three batches of a color called Sunset Orange using the recipe shown.


1/2 of the paint is red

1/3 of the paint is yellow

1/6 of the paint is white




Each batch contains a different total amount of paint.

Drag numbers to show how much of each color should be used in each batch of Sunset Orange

Answers

Answer:

Suppose that the batch has N liters of paint.

we know that the recipe is:

1/2 of red paint

1/3 of yellow paint

1/6 of white paint.

Then, out of the N liters, 1/2 is red.

This means that we must use:

N/2 liters of red paint.

And the same for the other two colors:

N/3 liters of yellow paint

N/6 liters of white paint.

When we add those 3, we have:

(N/2 + N/3 + N/6)  = (3*N/6 + 2*N/6 + N/6) = N.

Now, if for example N = 2

Then the batch has 2 liters of paint, this would mean that we must use:

2/2 liters of red paint

2/3 liters of yellow paint

2/6 liters of white paint.

what is the solution to x + 7 = 27

Answers

Answer:

The answer is x=20

Step-by-step explanation:

27-7=20

x=20

Answer:

20

Step-by-step explanation:

you would take 7 and subtract it from 27 to get your answer

What is I=prt formula used for?

Answers

Answer:

Simple interest

Step-by-step explanation:

Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

I= interest

p= principle (how much money there was originally)

r= rate of interest

t= time

ANSWER RIGHT NOW PLEASE​

Answers

What grade are you in the school tell me so I cloud help you

Evelyn and Tia are having a bake sale. They have 453 cookies. Each box holds 12 cookies. How many boxes do they need?

Answers

Answer:

38 boxes

Step-by-step explanation:

Solve for Q
8q+12=4(3+2q)

Answers

Answer:

q = infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

8q + 12 = 4(3 + 2q)

Step 2: Solve for q

Distribute 4: 8q + 12 = 12 + 8qSubtract 8q on both sides: 12 = 12

--------------------------------------------------------------

Distribute 4: 8q + 12 = 12 + 8qSubtract 12 on both sides 8q = 8qDivide both sides by 8: q = q

We see here that you can plug in any number q and it would render the equation true. You can also look at it as 2 linear lines that are same, and the same line has infinite amount of solutions.

Step 3: Check

Plug in q to verify it's a solution.

8(0) + 12 = 4(3 + 2(0))

0 + 12 = 4(3 + 0)

12 = 4(3)

12 = 12

8(1) + 12 = 4(3 + 2(1))

8 + 12 = 4(3 + 2)

20 = 4(5)

20 = 20

We also see in the check step that any value q works.

The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.

We have,

To solve for Q in the equation 8q + 12 = 4(3 + 2q), we can follow these steps:

Step 1: Distribute the 4 to the terms inside the parentheses:

8q + 12 = 4 * 3 + 4 * 2q

Simplifying further:

8q + 12 = 12 + 8q

Step 2: Combine like terms on both sides of the equation:

8q + 12 = 12 + 8q

Step 3: Subtract 8q from both sides of the equation to isolate the q term:

8q - 8q + 12 = 12 + 8q - 8q

Simplifying further:

12 = 12

Step 4: Since both sides of the equation are equal, the equation is true for all values of q.

This means the solution is all real numbers.

Therefore,

The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.

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5 1/4 of what number is 42

Answers

Answer:

8

Step-by-step explanation:

5 1/4 =5.25

42/5.25 = 8

8×5.25 = 42

Answer:

5 1/4 of 800 is 42

Step-by-step explanation:

Change 5 1/4 into a decimal = .0525

(.0525)x =42

divide both sides by 0.0525:

x = 42 / .0525

x = 800

5¼% of 800 is 42

Solve for u.
|5u + 15| = 10

Answers

Answer:

-1 and -5

Step-by-step explanation:

You must account for negative u values (which the abs nullifies).

So [tex]5u+15=10[/tex] and [tex]5u+15=-10[/tex] is what we have to solve for.

As for usual equations, isolate the u variable.

5u + 15 = 10

5u + 15 (-15) = 10 (-15)

5u = -5

[tex]\frac{5u}{5}=\frac{-5}{1}[/tex]

u = -1

Now you can do the same operation for the other equation and you should get u = -5.

Let's make sure we did it right by replacing u with one of our solutions (-1 or -5).

[tex]|5(-1)+15| = 10\\10 = 10[/tex]

That's true. What about the other one?

[tex]|5(-5)+15|=10\\10=10[/tex]

Can someone help me calculate the scale factor of ∆DEF to ∆ABC?

Answers

answer:
6

explanation:
DE, DF, and FE correspond to BA, AC, and CB respectively
30/5=6, 36/6=6, and 48/8=6, so the answer is 6

A triangle has three sides(4x),(2x-6),and(10-x). Using the variable x, write an expression to define the perimeter

Answers

Answer:

5x+4

Step-by-step explanation:

well the perimeter is the sum of all sides

so we have

[tex]P=4x+2x-6+10-x\\\\P=(4x+2x-x)+(-6+10)\\\\P=5x+4[/tex]

Answer:

P = 5x+4

Step-by-step explanation:

To find the perimeter, sum the sides

A triangle has 3 sides

P = 4x+ 2x-6 + 10-x

Combine like terms

P = 4x+2x-x    -6+10

P = 5x +5

AB=x+25, AC=26, and BC= 29 + x. Find x.​

Answers

Answer:

-14

Step-by-step explanation:

Given

AB=x + 25, AC=26, BC= 29 + x

As per segment addition postulate

AB + BC = AC

Substituting values

x + 25 + 29 + x = 262x = -28x = -14
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