The sixth grade teachers (10 teachers) ordered 2 large pizzas all together for lunch. Each pizza costs 13.75. If they were to split the cost evenly, how much will each person need to pay?​

Answer:

y = 4x + 57

Step-by-step explanation:

y = 4x + b

9 = 4(-12) + b

9 = -48 + b

57 = b

y = 4x + 57

Answer:

w + 1.3 = 2.7

Answer:

56.73 ft

Step-by-step explanation:

Given:

51° (angle)

73ft (hypotenuse)

With the given information use sin to determine the height of the kite.

sin51° = x/73

solve for x (height)

x= 73*sin51°

x= 56.73ft

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

More about the division link is given below.

https://brainly.com/question/369266

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Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer:

Option 3  (lower left)

Step-by-step explanation:

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15

Step-by-step explanation:

area of triangle=1/2 base×height

Erosion should be the right answer

Answer:

Volcanic Eruptions, Mountain Range Formations, Earthquakes

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

There are six major trigonometric functions as -

We can write the relation between them as -

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

To solve more questions on trigonometric functions, visit the link below-

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Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

1. x > -25

2. x > -16

3. x > -2

4. x [tex]\geq[/tex] 10

Give brainliest

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

Answer: 3 and 6

5 and 4

Step-by-step explanation:

3 and 4 are congruent to 5 and 6

Answer:

the radius of the sphere is 12 cm.

Step-by-step explanation:

IN A CONE

vertical height (h) = 27 cm

radius (r) = 32 / 2 = 16 cm

Now the volume of cone is

= 1/3 *h*π*r²

= 1/3 * 27 *π *16²

= 2304π cm³

Also by the question the cone and the sphere have equal volumes so

volume of sphere = volume of cone

                             = 2304 π cm³

OR, 4/3 πr³ = 2304 π

4/3 * r³ = 2304

r³ = 2304 * 3 / 4

r³ = 1728

r = ∛1728

r = 12 cm

hope it helps :)

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.

So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.

The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.

I always forget supplementary vs complementary, but a little bit of practice will help a lot.

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Answer:

9

Step-by-step explanation:

-5×3+7×4-54÷9+2

-5×3+7×4-6+2

-15+28-6+2

-15-6+28+2

-21+30

9

Answer:

A. 44/625

Step-by-step explanation:

There are 25 marbles total. To first calculate the probability of picking a yellow marble first can be represented as 11/25, the probability of picking blue is 4/25. We multiply these to figure out the probability of finding a yellow marble and then a blue one.

11/25 x 4/25 = 44/625

Answer:its D 8 -4 = 4

Step-by-step explanation:

Answer:

Center: (4,-2)

Radius: 2√3 units

Step-by-step explanation:

We wish to find the center and radius of the equation x²+y²-8x+2y=-8

Step 1: Complete the square for both variables:

x²+y²-8x+2y=-8

x²-8x+y²+2y=-8 (Rearrange)

x²-8x+16+y²+2y+4=-8+16+4 (Add to both sides)

(x-4)²+(y+2)²=12 (Reduce trinomials)

Step 2: Interpret the center and radius of the circle:

The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center of the circle and r is the radius of the circle. Since (h,k) translates to (4,-2), this means the center of the circle is (4,-2). Since r²=12, then r=√12=2√3 units

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

0.615

Step-by-step explanation:

Just round up.