Mathematics
20. A teacher drew an area model to find the value of 6,986 +8.
Teacher's Model for 6,986 +8
R
Р
N
800
Q
8
560
M
UNIZ
not to scale
• Determine the number that each letter in the model represents and explain
each of your answers.
• Write the quotient and remainder for 6,986 + 8.
Explain how to use multiplication to check that the quotient is correct. You
may show your work in your explanation.
Enter your answers and your explanations in the space provided.
.

Answer:

-12

Step-by-step explanation:

because 4 will be multiplied by-3 since 4/9 was multiplied by-3 to get -4/3 and -4/3 was multiplied by-3 to get 4

Answer:

20 would be the lowest that both 10 and 5 could go into, and that would make the fractions 4/20 and 6/20.

Answer:

10

Step-by-step explanation:

We need to find the lowest common multiple of teh 2 denominator:

So first let's write the first few multiples of 5:

5,10,15,20,25

Now let's write the first few multiples of 10:

10,20,30,40,50

Since 10 is the first number that appears in both lists this is our answer

Answer:

You can memorize formulas like (a+b)^2 but that's about it, I will write down some formulas that might be useful.

(a+b)^2 = a^2+2ab+b^2

(a-b)^2 = a^2-2ab+b^2

(a-b)(a+b) = a^2+b^2

calculate the zeros: x1,x2 = (-b +/- sqrt(b^2-4ac))/2a

Answer:

345 [tex]cm^{3}[/tex]

Step-by-step explanation:

The volume of 2 rectangular boxes :
7 × 5 × 3 + 5 × 7 × 3 = 210 [tex]cm^{3}[/tex]
The volume of given prism
210 + [(10 - 7 ) × 3 × (5 × 3) ]= 345 [tex]cm^{3}[/tex]

To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We're given:

Plug these given points into the formula for distance:

[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]

Therefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.

Answer:

The number line "D" represents the solution to 5+8x<3(2x+4)

Answer:

Solve;

5 + 8x < 3(2x + 4)

Perform the distributive property:

5 + 8x < 6x + 12

-5              -5

8x < 6x + 7

-6x     -6x

2x < 7

/2   /2

x < 3.5, so your answer is D.

Answer:

G: 770 yards

A: diameter

O: multiplication/division

N: 770 = 2πr

S: D = 2r = 770/π

A: 770/π or ≈ 245.0986 yards

Step-by-step explanation:

Hope this helps!

Answer:

Given: circumference = 770 yards

Asked: Diameter of the circle

Solution:

pi x d = 770

      d = 770/ pi

Answer:

Exact Form:3√2+6

Decimal Form:

10.24264068…

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

You can find a point where they are both equal (2,400)

and than divided y/x (400/2)=200

Answer:

Step-by-step explanation:

(a). [tex]A_{1}[/tex] = x ( 2x + 1 ) = 2x² + x

(b). [tex]A_{2}[/tex] = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6

(c). [tex]A_{3}[/tex] = 20x² + 22x + 6 - ( 2x² + x ) =

( 20x² - 2x² ) + ( 22x - x ) + 6 =

18x² + 21x + 6  

Answer:

8

Step-by-step explanation:

Take 72 and put it over 9. In other words, split 72 into 9 groups. Your answer will be 8, btw.

Thanks for the points. Hope it helps :)

Answer:

9\72=8

Step-by-step explanation:

9x8=72

  _08_

9|   72

 -   72

-----------

   0

please mark brainliest

Step-by-step explanation:

where the is y,you put the value of y 4x-3 and where the is x,put the value of x (y+3)

Answer:

The difference is approxiametly 8

Step-by-step explanation:

Things need to know

Whole number = Number on the left side of the mixed fraction

Numerator = Number on top of fraction

Denominator = Number on bottom of fraction

How to convert mixed numbers into improper fractions = Multiply denominator by whole number and then add that to the numerator

How to turn improper factions into decimals = Divide numerator by denominator

Improper fraction = A fraction where the numerator is greater than the denominator

Mixed fraction = A whole number and a proper fraction mixed together

For the first mixed number:

[tex]9 \dfrac{ 52 }{ 69 }[/tex]

9 = whole number

52 = numerator

69 = denominator

For the second mixed number:

[tex]1 \dfrac{ 29 }{ 50 }[/tex]

1 = whole number

29 = numerator

50 = denominator

Given:

[tex]9 \dfrac{ 52 }{ 69 } -1 \dfrac{ 29 }{ 50 }[/tex]

Convert mixed numbers into improper fractions

[tex]\dfrac{ 673 }{ 69 } - \dfrac{ 79 }{ 50 }[/tex]

Turn improper factions into decimals

[tex]9.753623188405797-1.58[/tex]

Round both numbers to the nearest whole number

[tex]10-2[/tex]

Subtract 2 from 10

[tex]8[/tex]

Answer: 8

Answer: $150

the sports drink is only 25% smaller in the price compared to the tropical

but is 2-3 times fewer supplies than the low pretty convenient but the most you get from the tropical is $92

the most you can stink out of this sum is $150

Step-by-step explanation:

Answer:$150

Step-by-step explanation:

the sport drink is only 25% less in the price compared to the tropical...

but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92

the most you can suck out of this total is $150

MARK ME BRAINLEST

Answer:

5:35 p.m.

Step-by-step explanation: Just add 25 to 5:10

Step-by-step explanation:

count the number of boxes

When the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.

The volume of the wall is determined as follows;

V = h x w x t

where;

Initial volume of the wall when some blocks are removed to make a window is 2 feet high by 2 feet wide.

V1 = (6 - 2) x (6 - 2) x (t)

V1 = 16t  ft³

Second volume of the wall when some blocks are removed to make a window is 4 feet high by 4 feet wide.

V2 = (12 - 4) x (12 - 4) x (t)

V2 = 64t  ft³

V2 = 4(16t  ft³)

V2 = 4(V1)

Thus, when the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.

Learn more about volume of cuboid here: https://brainly.com/question/22694657

Answer:

2

Step-by-step explanation:

2⁹ ÷ (4^x) = 32^x × 32^(-1)

2⁹ ÷ 32^(-1) = 32^x × 4^x

16384 = 128^x

Kalau kamu dah belajar logaritma,

[tex]x = log_{128}(16384) \\ x = 2[/tex]

Jika belum,

2¹⁴ = 2^(7x)

Bandingkan kuasa persamaan tersebut,

7x = 14

x = 2

Answer

A = 30.25pi. PLS GIVE BRAINLIEST

Step-by-step explanation:

so if circumference is 11, and formula for circumference is 2pi*r, we can work backwards to find the radius.

Radius: 11pi/2 = 5.5pi = 5.5 is radius

Area = pi * r^2

so Area = pi*5.5^2

so A = 30.25pi left in terms of pi

Answer: 11/4pi

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

so its actually really easy, take 10x10 and then multiply that by 12 and then divide by the exponent so in this case 10x10x12 then divide by 3

Answer: 400

Step-by-step explanation: 10*10*12/3

Step-by-step explanation:

Here are all the answers.

Answer:

89,470

Step-by-step explanation:

Answer:

a)True

b)True

c) False

d) True

e)True

f) True

Answer:

Step-by-step explanation:

The required area is between 9+3 = 12 feet and 9 feet radius circles.

Find the area:

First, we have "at least 120 bagels"

So we write ≥120 bagels.

Now, we are given that:-

Mrs. Trevino already has 2 dozen bagels.

Remember, a dozen is equal to 12, so if we have 2 dozen, then we have

[tex]\sf{2*12=24}\longleftarrow\sf{Mrs.Trevino~already~has~24~bagels}[/tex]

Now, she'll buy the remaining bagels in packages of 6, so we write

6x (packages of 6)

So the inequality looks like so:-

[tex]\sf{6x+24\geq 120}[/tex]

Now, let's solve the inequality :)

First, subtract 24 from both sides:-

[tex]\sf{6x\geq 120-24}[/tex]

[tex]\sf{6x\geq 96}[/tex]

Divide both sides by 6:-

[tex]\bigstar{\boxed{\pmb{x\geq 16}}}\longleftarrow\sf{number~of~packages~she~should~buy}[/tex]

Hope everything is clear :)

Answer:

(0,0)

(1,3)

(2,6)

(3,9)

(-1,-3)

(-2,-6)

(-3,-9)

Step-by-step explanation:

The equation of the graph is y=3x

Answer:

9 in × 5 in

Step-by-step explanation:

the area of a rectangle :

length × width

and this is 45 in² in our case.

the perimeter of a rectangle is

2×length + 2×width

and this is 28 in in our case.

l×w = 45

l = 45/w

2×l + 2×w = 2×(45/w) + 2w = 28

45/w + w = 14

45 + w² = 14w

w² - 14w + 45 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = -14

c = 45

w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r

= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =

= (14 ± 4)/2 = 7 ± 2

w1 = 7 + 2 = 9 in

w2 = 7 - 2 = 5 in

l1 = 45/w1 = 45/9 = 5 in

l2 = 45/w2 = 45/5 = 9 in.

so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.