Critical Thinking Problem

Here you have a ‘magic’ square. The sum (+) of any 3 numbers added across (→), down (↓), or diagonally
( ↘, ↙) should have the same sum.

You can write and solve equations to fill in the missing numbers on the table. Only write the numbers on the table, not the equations.

The magic sum for this square is 465.


248
31






217




62

Answer:

(3,6)

Step-by-step explanation:

We can substitute y for x+3 in the second equation

4x + x + 3 = 18

5x = 15

x=3

Plug x back into the equation

y = 3 + 3

y = 6

Answer:

B (3 ; 6)

Step-by-step explanation:

y = x + 3

4x + y = 18

4x + (x + 3) = 18

5x = 18 - 3

5x = 15

x = 3

y = x + 3

y = 3 + 3

y = 6

Answer:

None of them

Step-by-step explanation:

Because george and lincolin were both american presidents

Answer:

none of those statement are right

Step-by-step explanation:

They were both presidents of the United States

Answer:

91584.38

Step-by-step explanation:

Round the 7 in the hundredths place to an 8 because the 7 in the thousandths place would make the number round up.

Answer: It's not 10 lol

Step-by-step explanation:

Answer:

±sqrt( (vf) ^2 -2ad)) = vi

Step-by-step explanation:

(vf) ^2 = (vi)^2 +2ad

Subtract 2ad from each side

(vf) ^2 -2ad = (vi)^2 +2ad -2ad

(vf) ^2 -2ad = (vi)^2

Take the square root of each side

±sqrt((vf) ^2 -2ad)) = sqrt((vi)^2)

±sqrt( (vf) ^2 -2ad)) = vi

Answer:

x = -8

Step-by-step explanation:

Subtract 13 from both sides:

3x = -24

Divide by 3:

x = -8

Answer:

im sorry I don't know how to solve this

Step-by-step explanation:

maybe this will help

if u try Google search it may help

Answer:

65?

Step-by-Step Explanation:

Answer:

x³+4x²-9

Step-by-step explanation:

x+3=0

x=-3

put x=-3 into x³+4x²-9, if it is equal to zero then it is dividsble

so, (-3)³+4(-3)-9=0

so a is correct

The polynomial A(x) is divisible by (x+3).

A factor is a number or expression that divides another number or expression  leaving no remainder.

If p(x) be the polynomial, then p(x) is divisible by q if q is the factor of p(x).

According to the given question

we have different polynomials

[tex]A(x) = x^{3} +4x^{2} -9[/tex]        

When we divide A(x) by (x+3) we get remainder 0.

⇒ (x+3) is a factor of A(x).

Hence, the polynomial  A(x) is divisible by (x+3).

[tex]B(x) = x^{3} -22 -18[/tex]

⇒ [tex]B(x) = x^{3} -30[/tex]

When we divide B(x) by (x+3) we get remainder -57.

⇒ (x+3) is not a factor of B(x)

Hence, the polynomial B(x) is not divisible by (x + 3).

[tex]C(x) =x^{3} -6x -9[/tex]

By dividing C(x) by (x +3)  we get remainder -18

⇒ (x+3) is not a factor of C(x).

Hence, C(x) is not divisible by (x+3).

[tex]D(x) = x^{3} + 3x + 3[/tex]

By dividing  D(x) by (x+3), we get remainder -33.

⇒ (x+3) is not a factor of D(x).

Hence, D(x) is not divisible by (x+3).

Thus, the polynomial A(x) is divisible by (x+3).

Learn more about factor theorem here:

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Answer:

Step-by-step explanation:

idk how to draw tho :(

Answer: I do not know how to draw as well.

Step-by-step explanation: Sorry, I'm too lazy :c

Answer:

178 miles

Step-by-step explanation:

Answer:178 miles

Step-by-step explanation:

First we substract $17.95 from $144.33 =$126.38.Than we divide $126.38 by $0.71=178

Answer:

His work is not correct. You first must switch x and y and then solve for y. Is the correct answer.

Step-by-step explanation:

Answer:

11+6=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

11+6=17

Answer:

[tex]x=-\dfrac{41}{14}[/tex]

Step-by-step explanation:

[tex]7(2x+6)=1[/tex]

Expand parentheses:

[tex]14x+42=1[/tex]

Subtract 42 from both sides:

[tex]14x=-41[/tex]

Divide both sides by 14:

[tex]x=-\dfrac{41}{14}[/tex]

Hope this helps!

Answer:

x = -41/14

Step-by-step explanation:

7(2x+6)=1

Distribute

14x +42 =1

Subtract 42 from each side

14x+42-42 = 1-42

14x = -41

Divide each side by 14

14x/14 = -41/14

x = -41/14

Answer:

4

Step-by-step explanation:

4/1=4

7/7=1

Answer:

15 cubic units

Step-by-step explanation:

Answer:

D. $1143.20

Step-by-step explanation:

Data provided in the question

The Purchased value of office furniture = P = $8,000

Based on the above explanation, the money deducted from the expenses for the first year is shown below:

[tex]= P \times MACRS\ rate[/tex]

[tex]= \$8,000 \times 14.29\%[/tex]

= $1,143.20

We simply multiplied the purchased value of the office furniture with the MACRS rate i.e for the first year so that the amount i.e to be deducted could come

hence, the correct answer is d.

Answer:

$1143.20

Step-by-step explanation:

Given:

One of the angles of a parallelogram , ∠A = 40°

To find out:

Find the rest of the angles ( ∠B, ∠C, ∠D ) ?

Solution:

We know that,

∠A + ∠B = 180° [ co - interior angles]

⇒ 40° + ∠B = 180°

⇒ ∠B = 180° - 40°

⇒ ∠B = 140°

∠B = ∠D = 140° [ Opposite angles of a parallelogram ]

Also, ∠A = ∠C = 40° [ Opposite angles of a parallelogram ]

Answer:

A≈804.25

Step-by-step explanation:

Divide the height by 2 which is 8 and then

A=4πr2=4·π·82≈804.24772

Answer:

cos c = 3 / 5

Step-by-step explanation:

wkt

cos x = ADJ /HYP

= 3 / 5 OR 6 / 10

THANK YOU

FOLLOW ME

Answer:

Real numbers are numbers that are all on the number line. They can be negative and positive. Also, the number 0 can be a real number.

Hope this helps

Answer: Yes, it must.

Step-by-step explanation:

By definition, a definite offer must offer enough information to the offerer to understand the offer. In other words, the terms must be clear enough for the offerer to understand the offer and decide if he/she accepts the offer or not.

So yes, a definite offer must include enough information to infer the terms, if not, this is not a definite offer.

Answer:

B. 8

Step-by-step explanation:

The principal square root is another word for the positive square root. The square root of a number is the number that equals a given number when multiplied by itself.

In this case, 8*8 = 64. -8*-8 also equals 64, but we are looking for the principal square root here, so the only answer is 8.

Hope this helps!

Step-by-step explanation:

Since Jackie wants her new map to be three times larger, then you would have to take a look at her ratios.

the original ratio is 1 inch:12ft, which basically says for every inch on the map you would get 12 real-life feet.

to get the ratio of her new map, just multiply the second half of the ratio times three. the inch should remain the same.

I hope i helped you out!

Answer:

63

Step-by-step explanation:

angle 5 is equal to angle 7 and angle 3 is equal to angle 5. Hence angle 5 is equal to 180-113=67    angle 3 and angle 4 is equal because they are supplementary meaning = 180 and we know angle 4 is equal to 113 so angle 3 is equal to 180-113 and angle 3 is equal to angle 5 because they are alternate interior angles. angle 5 and angle7 are vertically opposite angles so they are equal to each other so the asnwer is 63

The indicated angle is measured.

To find each one of the indicated angle measures.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given that:

m∠4+ m∠5=180º (Interior angles on the same side of the transversal)

m∠5=180º-113º=67º

m∠5=m∠7=67º( vertically opposite angle are equal)

m∠6+ m∠5=180º(linear pair)

m∠6=180º-67º=113º

m∠6=m∠8 =113º(vertically opposite angle are equal)

m∠4+ m∠3=180º(linear pair)

m∠3=180º-113º=67°

m∠4=m∠2=113° (vertically opposite angle are equal)

m∠2+m∠1=180º(linear pair)

m∠1=180º-113°=67°

So, the indicated angle is measured above.

Learn more about angle here:

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Answer:

80,000

Step-by-step explanation:

Products means to multiply

0.008×10,000,000

10000000

× 0.008

=80000

The decimal point moves 7 places to the right

Answer:

first one is 8 second one is 7

Step-by-step explanation: