Question 8(Multiple Choice Worth 5 points)
(01.03 MC)
Which expression is equivalent to 32.3-52
0
3³

Answer: 32

Step-by-step explanation:

The only numbers that can have 2 digits and two of which equal to five can only be:

3+2

2+3

4+1

1+4

So the numbers are: 41,14,23, and 32.

41-9=32

14-9=5

23-9=14

32-9=23

Since the question is asking for the number who’s difference is the reverse of one of the numbers. The only possible answer is 32 because 32-9= 23. (23 is the reverse of 32)

Answer:

5√3

Step-by-step explanation:

You would have to pay back $448 in total after one year.

The simple interest formula can be expressed as;

I = P × r × t

Where I is interest, P is principal, r is interest rate and t is time.

Given the parameters:

Principal P = $400 (the initial loan amount)

Rate r = 12% = 12/100 = 0.12

Time t = 1 year

Interest = ?

To determine the interest, we can use the above formula for simple interest:

I = P × r × t

Interest = $400 × 0.12 × 1

Interest = $48

Money to be paid back will be:

Amount = Principal + Interest

Amount = $400 + $48

Amount = $448

Therefore, the accrued amount to be paid is $448.

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Answer:

Step-by-step explanation:

(A)length of a stamp=1/5foot

wide of a stamp=1/4foot

area of the stamp=?

area of the stamp=length of a stamp *wide of a stamp

                              =1/5*1/4

                              =1/20square foot

(B)an area of the room=1/4  square meter

width of the room=1/5meter

length of the room=?

an area of the room=width of the room*length of the room

1/4                              =1/5                          *  length of the room

1/4                              = length of the room/5                

5/4                             =length of the room

(C)the area of the canvas=1/5square yard

width of the canvas=1/4 yard

length of the canvas=?

an area of the  canvas=width of the  canvas*length of the  canvas

1/5                                = width of the  canvas*1/4

1/5                                 = width of the  canvas/4

4/5                                =width of the  canvas

width of the  canvas=   4/5

(D)length of the  rectangular course=1/5mile

area of the  rectangular course=1/4square mile

width of the  rectangular course=?

an area of the  rectangular course

                          =

width of the  rectangular course*length of the  rectangular course

1/4                      =width of the  rectangular course*1/5

1/4                      =width of the  rectangular course/5

5/4                     =width of the  rectangular course

width of the  rectangular course=5/4

Answer:

(14/3, 7/3)

Step-by-step explanation:

8-3=5, and 5/3+3=14/3.

5--3=8, and 8/3+5=7/3.

This has a ratio of 1:2 because the length is divided into three and 1 is separate from the other two.

biscuits sweet strawberry

Answer:

A) The median is one of the values listed in the table

Step-by-step explanation:

The median is the middle number in an ordered data set. Since the number of date in the table is a even number, both 75 and 76 is the middle number.  To find the median of an set of data that has an even number of sets, you just add the 2 middle numbers together and divide by 2. So like:

75+76=151

151/2=75.5

75.5 is the median but its not listed in the table, so A.

Answer:

19

Step-by-step explanation:

ZYW=YWX

2x=180-90-(3x-5)

2x=90-3x+5

2x=95-3x

5x=95

x=19

Answer:

[tex]\textsf{b.} \quad 3x+5y=2[/tex]

Step-by-step explanation:

Define the given points:

[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]

Use the slope formula to determine the slope of the line:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]

Use the point-slope formula to determine the equation of the line.

[tex]\implies y-y_1=m(x-x_1)[/tex]

Substitute the found slope and point (4, -2):

[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]

[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]

Multiply both sides by 5:

[tex]\implies 5(y+2)=-3(x-4)[/tex]

Expand the brackets:

[tex]\implies 5y+10=-3x+12[/tex]

Add 3x to both sides:

[tex]\implies 5y+10+3x=-3x+12+3x[/tex]

[tex]\implies 3x+5y+10=12[/tex]

Subtract 10 from both sides:

[tex]\implies 3x+5y+10-10=12-10[/tex]

[tex]\implies 3x+5y=2[/tex]

Answer:

Step-by-step explanation:

5x+ACB=180

A=33

2x+33 +ACB=180

This means 2x+33=5x

3x=33

x=11

Answer:

275

Step-by-step explanation:

To figure out the average of Michael and Melissa we must add up all their test scores and divide the by 7; which is the number of tests they took.

Michael:

(80+76+73+70+40+25+10)/7

Melissa:

(88+83+75+70+60+65+62)/7

Michael's average is 53.4

Melissa's average is 71.9

So Melissa is earning a C in Latin.

Answer:

Step-by-step explanation:

Hello,

We have : (a + b)² = a² + 2ab + b²

4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B

Here, we have a = 2x and b = 5 !

Answer:

[tex]\textsf{b.} \quad (2x+5)^2[/tex]

Step-by-step explanation:

Given quadratic equation:

[tex]4x^2+20x+25[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

[tex]\implies ac=4 \times 25=100[/tex]

[tex]\implies b=20[/tex]

Factors of 100 that sum to 20:   10 and 10

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies 4x^2+10x+10x+25[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2x(2x+5)+5(2x+5)[/tex]

Factor out the common term (2x + 5):

[tex]\implies (2x+5)(2x+5)[/tex]

Simplify:

[tex]\implies (2x+5)^2[/tex]

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Answer:

[tex]\huge\boxed{\sf 25\ ml}[/tex]

Step-by-step explanation:

Total amount of water = 500 ml

Mary drank = 400 ml

Left:

= 500 ml - 400 ml

= 100 ml

This was divided equally among 4 friends.

So,

Each friend got:

= 100 ml/4

= 25 ml

[tex]\rule[225]{225}{2}[/tex]

Answer:

Letter c

Step-by-step explanation:

You are distributing the 7 to each term in the parentheses.  

7(8x) is 56 x

Here is the tricky part.  You can think of it a couple of ways:

7(-4y) = -28y  a positive times a negative is a negative.

or 7(4y) = 28 , but then remember that you are subtracting so it will become  -28

7(6) = 56

56x - 28y +42

Answer:

c.) 7(8x - 4y + 6)

Step-by-step explanation:

if we solve 7(8x-4y+6), we get;

56x-28y+42

Answer:

There are 4096 options to choose from.

Step-by-step explanation:

6 sections each with 4 colours to choose from : 4⁶ = 4096

The spinner with 6 different parts and 4 different colors can be painted in 4⁶ ways.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, you are going to paint the sixth sector spinner shown and there are 4 colors to choose from also each color can be used more than once and there are no other restrictions.

∴ The first part can e painted in 4 different ways and as there are no restrictions every 6 parts can be painted in 4 different ways.

So, the total no. of ways to color this spinner with 6 different parts and 4 different colors are,

4×4×4×4×4×4 ways,

= 4⁶ ways.

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Answer:

ospe4mhe is taht he iaoe

Answer:

Synecdoche means in which a part of something is substituted for the whole (as hired hand for "worker")

Answer:c

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

khan academy

The domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values

The sum notation is given as:

[tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex]

From the above notation, the smallest value of n is 1.

This means that the variable x can take any real value as it value

Hence, the domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values

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9² or 9^2

Because the base is the same on the top and the bottom which is "9", you would either add or subtract the top and bottom exponent based on the arithmetic symbol used.

Because the arithmetic symbol division sign is used, you subtract the top exponent by the bottom giving you the answer nine to the power of two.

Answer:

The correct answer is [tex]9^2[/tex]

Step-by-step explanation:

9 is the base and 7-5=2. so n=2.

Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO congruent angle EWN Vertical Angles

angle OHW congruent angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

Answer:

6.4

Step-by-step explanation:

Use the triangle angle bisector theorem.

4.9/2.6 = AC/3.4

2.6AC = 4.9 × 3.4

AC = 6.40769...

Answer: 6.4

Answer: There is 5 non blue sock in Josh's drawer

Step-by-step explanation:

The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.

Answer:  $1487.50

Step-by-step explanation:

hey there again!

Facts:

Principal (starting amount): $1,400

Annual interest rate: 12.5% of the principal. Whenever you get an annual interest rate as a percentage, its always that percentage of the starting amount.

Time given: 6 months, 1/2 a year

the question asks "total amount due' in 6 months. Basically, we want to know how much they will have in their account after 6 months.

Step 1: Find how much interest he will get in 6 months as a percentage.

6 months is 1/2 of a year, so find 1/2 of 12.5

1/2 of 12.5

1/2 x 12.5

0.5 x 12.5

6.25%

Step 2: Find how much interest he gets, but as a number.

Principal: $1400

6.25% of 1400= $87.50

Step 3: Find the total amount of money he will have after 6 months.

he starts with 1400, and gets an additional $87.50 added to his account after 6 months. How much does he have now?

To answer this, add to find the total:

87.50+1400= $1487.50