Lntegers 0, -2, -3, -4, -5, -6, -7, -8, and -10 to fill in a 3 x 3 magic square so that every row, column, and diagonal has the same sum. The sum must be -15.

Answers

Answer 1

The given numbers are 0, -2, -3, -4, -5, -6, -7, -8, and -10.

Sum of all the integers is -45.

There are 9 places in 3x3 magic square, so divide -45 by 9, we have -45/9=-5.

Put the number -5 at the center place in the magic square.

Now, take the integer having the largest magnitude, i.e -10.

There are two positions to place -10, one is diagonal positions and the other is non-diagonal positions and to make sum = -15, the other number with -5 and -10 must be 0 as shown in the figure (i) and (ii).

Now, the row and column having 0 must have -8 and -7 to make sum -15, which disregards the possibility of -10 at the diagonal place ( figure (i)). So, proceeds with the places in figure (ii), the possible places of -8 and -7 have been shown in figure (iii).

Now, as the sum of diagonals = -15, so place -3 and -2 at diagonal positions and also place the remaining numbers -4 and -6 to make the sum of numbers in columns and rows -15 as shown in figure (iv).

Lntegers 0, -2, -3, -4, -5, -6, -7, -8, And -10 To Fill In A 3 X 3 Magic Square So That Every Row, Column,

Related Questions

Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of perpendicular line

One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?

Answers

31 hours

to figure out how much she gets paid per hour: 313.50/15 = 20.9

now to figure out how many hours she needs to work to ear $647.90 =

20.90 x 15

I need help on this question!

Answers

The answer I am not sure but will try
Ans: 110

Answer:

110 cookies in 180 minutes

Step-by-step explanation:

Please help!!! Question is a picture

Answers

Answer:

c a b hope it helps.

Step-by-step explanation:

Find two numbers such that five times the larger plus three times the smaller is 47, and four times the larger minus twice the smaller is 20.​

Answers

Let x and y be the larger and smaller numbers respectively.
Use the given fact "five times the larger plus three times the smaller is 47" to set up an equation:
5x + 3y = 47 ...................(1)
Use the given fact "four times the larger minus twice the smaller is 20" to set up another equation:
4x - 2y = 20 ...................(2)
Multiply both sides of (1) by 2, we have:
10x + 6y = 94 ............................(3)
Multiply both sides of (2) by 3, we have:
12x - 6y = 60 ............................(4)
Add (3) and (4), we have
22x = 154
x = 7
Substituting x = 7 into (1), we have
5*7 + 3y = 47
Solving for y, we have:
35 + 3y = 47
3y = 12
y = 4

Solve the equation 4x-6= 34. Write a reason for each numbered step.

Answers

Answer:

Steps:

4x - 6 = 34

Add 6 to both sides

4x - 6 + 6 = 34 + 6

Simplify:

4x = 40

Divide both sides by 4

4x/4 = 40/4

Simplify:

x = 10

$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to double

Answers

Answer:

The formula you'll need is:

Years = ln (total / principal) / rate

ln means natural log

Years = ln (2,000 / 1,000) / .045

Years = ln (2) / .045

Years = 0.69314718056 / .045

Years = 15.4033

Step-by-step explanation:

Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter after each draw. Find the probability that the letter "i" is drawn at least once.

Answers

Answer:

P(X ≥ 1) = 0.50

Step-by-step explanation:

Given that:

The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.

Then; the probability of success = 7/34 = 0.20588

Using Binomial distribution to determine the probability; we have:

[tex]P(X = x) = ^nC_x \ \beta^x \ (1 - \beta)^{n-x}[/tex]

where;

x = 0,1,2,...n    and    0  <  β   <   1

and x represents the  number of successes.

However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:

P(X ≥ 1) = 1 - P(X< 1)

P(X ≥ 1) = 1 - P(X =0)

[tex]P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg][/tex]

[tex]P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg][/tex]

P(X ≥ 1) = 1 - 0.50

P(X ≥ 1) = 0.50

The number one selling item at Sam’s Swim Shop is a beach towel. It is priced at $7.50 , How much will Mrs. Wilson spend if she purchases 4 beach towels and pays 6% sales tax ?

Answers

Mrs. Wilson will pay $31.80 for the beach towels

Answer:

$31.80

Step-by-step explanation:

Please help! Last question and it was due last night! Will choose brainiest!

Answers

Answer:

YZ=6.42   m<Y=12

Step-by-step explanation:

Answer:

77 degrees yz

Which of the following is equivalent to the addition problem below?
27.93 +61.63

Answers

something equivalent to this could be 44.78+44.78!

Cameron makes a quilt design using four congruent triangles as shown below. 4 connecting congruent triangles are shown. The bottom 2 triangles share the same base. The top 2 triangles also share the same base and sit on top of the bottom 2 triangles. The base length is 21 centimeters. The length of the bottom side of the triangle is 14 centimeters. The length of the right side of the triangle is 9 centimeters. What is the perimeter of the entire design? 46 cm 64 cm 108 cm 147 cm

Answers

Answer:

64 cm Tom Brady the goat

Step-by-step explanation:

Answer:

64cm

Step-by-step explanation:

edge 2021 -*+ have a good day -*+

y = $36 x 0.9
Choose
y = $324.00 : increase
y = $324.00 : decrease
y = $32.40 : increase
y = $32.40. decrease

Answers

B $324.00 : decrease

Help Asap!! Determine if the two triangles are congruent

Answers

The right answer I think is HL

Pls help me

Question 10 (1 point)
Which of the following measurements, could be the side lengths of a right triangle?
a
8 inches, 10 inches, and 12 inches
9 inches, 12 inches, and 15 inches
b
с
10 inches, 5 inches, 11 inches
d
6 inches, 12 inches, 14 inches
Submit

Answers

Answer:

9in 12in 15in

Step-by-step explanation:

help plz it's a 9th grade question ​

Answers

the answer is
x= 45/7
y=426/7

On multiple-Choice history Test, rita received a mark of 80%. She answer 32 correctly

Answers

Let total number of questions be x.

According to the question,

80% of x is 32

or 80/100 × x = 32

or x = 32 ÷ 80/100

or x = 32 × 100/80

or x = 32 × 10/8

or x = 4 × 10

or x = 40

So, total number of questions is 40.

Write three expression that are equivalent to the given expression.
24x+20y

Answers

Answer:

2(12x + 10y)  

Step-by-step explanation:

The value of three expression that are equivalent to the given expression (24x + 20y) are,

⇒ 2 (12x + 10y)

⇒ 4 (3x + 5y)

⇒ 48/2x + 40/2y

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 24x + 20y

Now, We can write the expression as,

⇒ 24x + 20y

⇒ 2 (12x + 10y)

⇒ 4 (3x + 5y)

⇒ 48/2x + 40/2y

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Given: m ∥ n, x ∥ y, and y ⊥ m. Use the diagram to find the angle measure.

Answers

Answer:

180

Step-by-step explanation:

m<2 + m<3 = 90

m<5 + m<6 = 90

m<2 + m<3 + m<5 + m<6 = 90 + 90 = 180

Answer: 180

Transformation!! Please only help if you have the answer!!

Answers

Answer:

the answer for this one is A

Step-by-step explanation:

mostly because for this you're only looking for H and not the rest of them so if you reflect is itll be in the same spot just on the opposite side

What is the 50th term of the arithmetic sequence 7, 10, 13, ...?
show complete working format please ​

Answers

Answer:

154

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 10 - 7 = 3 , thus

a₅₀ = 7 + (49 × 3) = 7 + 147 = 154

Maribelle uses x yards of material to make a quilt. A customer requests 5 quilts that are 20% larger than the normal pattern. Write an expression to represent the total yards of material needed for the requested quilts in two different ways?

Answers

Answer:

i. 5(x + 0.2x) yards

ii. 6x yards

Step-by-step explanation:

Since the requested quilts are 20% larger than the normal pattern, then;

20% of x = 0.2 x

Thus,the yards of material to make each of the requested quilts increased by 0.2x yards.

So that;

To make one of the requested quilt, the yards required = x + 0.2x

For 5 requested quilts, the total yards required = 5(x + 0.2x)

Total yards of material for the requested quilts is 5(x + 0.2x).

Also,

5(x + 0.2x) = 5x + 5(0.2x)

                  = 5x + x

                  = 6x

Thus, the total yards required is 5(x + 0.2x) or 6x.

Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2

Answers

Answer:

Slope Intercept Form: y= -3/2× + 2

A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?

Write your answer in simplest form.

Answers

Answer:

hello

Step-by-step explanation:

Jonathan’s class has 30 boys. Of the students in his class, 60% are girls.How many girls are in Jonathan’s class?

Answers

Answer:

45=60%

15=20%

30=40%

60=80%

75=100%

Step-by-step explanation:

Answer: Approximately due to my calculations there are about 60 girls

Step-by-step explanation:60% as a decimal is 0.6

Solve for x.

23=79(6x−36)+9



Enter your answer in the box.

x =

Answers

Answer:

x= 6.02953586.......

Step-by-step explanation:

x= 6.02953586 hope this helps


ANSWER ASAPPP!!!!!!!!!!! please

Answers

Answer:

Neither.

Step-by-step explanation:

Note that both images are a backwards "L".  If it was a reflection in the y axis, one would be an "L".

Answer:

neither

Step-by-step explanation:

No, this is not a reflection.

Need help ASAP please give answer in cm squared

Answers

Answer:

17×15=255

Step-by-step explanation:

you do base times height

Is none proportional it proportional

Answers

Answer:No it is not proportional

Step-by-step explanation:

The reason non proportional is not proportional is bc it's not proportional.

Answer:

It's not proportional

Step-by-step explanation:

I can tell you that if you have, for example, 2 spring rolls and they are eaten by 4 people, then 1 spring roll is eaten by 2 people. That is proportional, becuase the amount of people is always dependened of the amount of spring rolls. But here, for 1 hour here, you get paid 52 dollars. If it was proportional, for 2 hours you'd be paid 104 dollars.

Anybody know this I’ll give you 25 points and the answer is not D

Answers

Answer:

Most likely D, not sure if I am correct, this might not help

Step-by-step explanation:

In order to find the inverse of an equation, we first swap x and y. Then, we solve for y in the new equation.

[tex]y=x^2-5\\x=y^2-5\\x+5=y^2\\±\sqrt{x+5} =y[/tex]

Ignore the A with a caret above it in the front, I don't know why it is there. I am not sure if I am correct, as I have only just completed Algebra 1 so I do not have good knowledge on mathematics.

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