a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?
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Answer:

mA=56 degrees

Step-by-step explanation:

Complementary angles adds up to 90 degrees. This imply that

[tex](7x+28)+(8x+2)=90[/tex]

From this equation, we can find x:

[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]

Now, we can substitute the value for x into the angle mA:

[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]

Answer:

128

Step-by-step explanation:

Sam has X stamps.

Jill has (576-X) Stamps.

X-x/7 = 6x/7 = Sam's bal.

576-x + x/7 = 576 - 6x/7 = Jill's bal.

1/4(576-6x/7) = 144 - 6x/28

3/4(576-6x/7) = 432 - 9x/14 = Jill's new

bal.

6x/7 + 144-6x/28 = 144 + 24x/28-6x/28 =

144 + 9x/14 = Sam's new bal.

Jill's new bal = Sam's new bal

432 - 9x/14 = 144 + 9x/14

18x/14 = 144-432 = 288

18x = 4032

X = 224

576-X = 576-224 = 352.

Difference = 352 - 224= 128

Answer:

3.2 cakes a hour

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

9x+9=25+x

subtract 9 on both sides

9x=16+x

subtract x on both sides

x=2

The solution of equation 9(x + 1) = 25 + x is x =2, which is option A.

An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.

Given information:

The equation is 9(x + 1) = 25 + x.

To solve for x, we need to isolate x on one side of the equation.

9(x + 1) = 25 + x

First, we can distribute the 9:

9x + 9 = 25 + x

Next, we can simplify by subtracting x and 9 from both sides:

8x = 16

Finally, we can solve for x by dividing both sides by 8:

x = 2

Therefore, the solution is x = 2.

To learn more about the equation;

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Answer:

1/6

Step-by-step explanation:

2 is 1/6th of 12

5 is 1/6th of 30

Answer:

C.) 6

Step-by-step explanation:

I multiplied the number 2 by X and my sum was Y.

Answer:

12 miles in one hour

Step-by-step explanation:

60 minutes in an hour

60/15= 4

4*3=12

Step-by-step explanation:

2.3 * (-1.2)

= -2.76.

Hence the answer is -2.76.

Answer:

[tex]\Large \boxed{\sf -2.76}[/tex]

Step-by-step explanation:

Step-by-step explanation:

Given that,

No. of chocolate chip cookies = 86

No. of sugar cookies = 42

We need to find the number of identical packages that I can make.

It means we need to find the HCF of these 2 number.

Prime factorization of 86 and 42 as follows :

86 = 2 x 43

42 = 2 x 3 x 7

HCF = 2

Hence, I can make 2 identical packages.

Answer:

Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.

Answer:

idekqwarwera

Step-by-step explanation:

Answer:

(40,35)

Step-by-step explanation:

Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.

Now we just test out each x and y possibility

We know 5x+3 > 300

So lets try the first one

30 is x

45 is Y

5*30=150

45*3=135

Now if you add them

285

285 is not greater than 300 so thats wrong

SO B is correct

But lets check just in case

5*40=200

3*35= 105

305 IS greater than 300

305 > 300

SO B is correct

The point (40,35)

click on the picture attached to get the answer

hope it helps!

..........

Answer:

70 degrees

Step-by-step explanation:

Answer:

7/10 *10/10 is 70/100 or 7/10 so equal

Step-by-step explanation:

the product is 7/10.

it is 10/10which simplifies to 1(divide by 10)

so it wouldn't change

Hope this helsp zpl hit hte crown :D

Answer:

16cm^2

Step-by-step explanation:

well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16

Answer:

16 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Base b = 8 cm

Height h = 4 cm

Step 2: Find A

Answer:

C

Step-by-step explanation:

It has to be either A or C because the function is decreasing as you move left to right, this only occurs when the number inside parenthesis is less than 1.

It isn't A because if you plug in x=0, the value is 2, but on the graph it is greater than 2.

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Answer:

(6,-6)

Step-by-step explanation:

1. -10x-15y=30

-10x-15y+15y=30+15y

-10x/-10=30+15y/-10

x=-3 -3/2

plug in the other equation and solve for y

-9x-5y=-24

-9(-3-3/2)-5y=-24

y=-6

plug -6 in for y in one of the original equations

-9x-5y=-24

-9x-5(-6)=-24

solve for x

x=6

wonderful

Answer: [tex]d = 103.23 miles[/tex] apart.

Step-by-step explanation:

given data:

ship a = 20miles. = 60miles

ship b = 28miles. = 84miles

time interval = 3hrs.

θ = 90

[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]

[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]

[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-0[/tex]

[tex]d = \sqrt{10656[/tex]

[tex]d = 103.23 miles[/tex]

Answer:

k=-16

Step-by-step explanation:

-10=k+6

subtract 6 both both sides to isolate the variable

-16=k

Happy Holidays!!

Answer:

K= -16

Step-by-step explanation:

k=( -10)_6

make as brainlist

Answer:

360 cookies

Step-by-step explanation:

60 times 6= 360

Answer:

l = 23 cm and w = 5.7 cm

Step-by-step explanation:

Perimeter = twice the length plus twice the width

let w = width

let l = length

l = 5.9 + 3w

57.4 = 2(5.9 + 3w) + 2w

57.4 = 11.8 + 6w + 2w

57.4 = 11.8 + 8w

45.6 = 8w

w = 5.7

Substitute 5.7 for 'w' to get 'l':

l = 5.9 + 3(5.7)

l = 23

Answer:

-3+-2

Step-by-step explanation:

Answer:

D (6,2)

Step-by-step explanation:

2x6+2=14 2x6= 12 12+2= 14

5x6-2=28 5x6=30 30-2=28

9 is the answer I hope this helped

Answer:

23358.1

Step-by-step explanation:

Answer:

216.2

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\c=3959+5.9\\\\b=3959\\\\a=x\\\\\\(x)^2+(3959)^2=(3964.9)^2\\\\x^2=(3964.9)^2-(3959)^2\\\\x^2=(3964.9-3959)(3964.9+3959)\\\\x^2=5.9(7923.9)\\\\x\approx 216.2[/tex]

Correct question is;

Complete this division sentence.

9988 ÷ 23 = R

Answer:

9988 ÷ 23 = 434 R 6

Step-by-step explanation:

....... 434

_________

23|9988

......92

¯¯¯¯¯¯¯¯¯¯¯

........ 788

.........69

¯¯¯¯¯¯¯¯¯¯

........... 98

............92

¯¯¯¯¯¯¯¯¯¯¯

............. 6

Thus ; 9988 ÷ 23 = 434 R 6

Answer:

The food will last for 20 days

Step-by-step explanation:

The equation of the inverse proportional is xy = k, where k is the constant of variation

∵ In a hostel of 40 students, there is food for 30 days

→ That means the food is the constant k and the number of days y

   varies inversely with the number of students x

∴ x = 40 and y = 30

∵ xy = k

∴ 40 × 30 = k

∴ 1200 = k

∴ The equation of the inverse proportional is xy = 1200

∵ 20 more students join the hostel

→ That means the number of students increased by 20

∴ The number of students in the hostel = 40 + 20

∴ The number of students in the hostel = 60

→ By using the equation above

∵ 60 × y = 1200

∴ 60y = 1200

→ Divide both sides by 60

∴ y = 20

∴ The food will last for 20 days

Answer:

B

Step-by-step explanation: