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).
Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2
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?
I need help on this question!
Answer:
110 cookies in 180 minutes
Step-by-step explanation:
Please help!!! Question is a picture
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.
Solve the equation 4x-6= 34. Write a reason for each numbered step.
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
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.
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 ?
Answer:
$31.80
Step-by-step explanation:
Please help! Last question and it was due last night! Will choose brainiest!
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
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
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
Help Asap!! Determine if the two triangles are congruent
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
Answer:
9in 12in 15in
Step-by-step explanation:
help plz it's a 9th grade question
On multiple-Choice history Test, rita received a mark of 80%. She answer 32 correctly
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
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.
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!!
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
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?
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
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.
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?
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 =
Answer:
x= 6.02953586.......
Step-by-step explanation:
ANSWER ASAPPP!!!!!!!!!!! please
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
Answer:
17×15=255
Step-by-step explanation:
you do base times height
Is none proportional it proportional
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
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.