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1) In 2005 the number of seniors at Falcon decreased by 63 students over the 9 month school year. If the decrease was the same over the entire 9 months, write the monthly decrease as a quotient of integers and find the monthly decrease. please show you're work.​

[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given to points to us are :-

( As these are plotted on graph with yellow dots .)

Now , we can use Distance Formula , which is :-

[tex]\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]

Here ,

→ Substituting the respective values ,

⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .

⇒ Distance = √ (3+1)² + (8-6)²

⇒ Distance = √ 4² + 2²

⇒ Distance = √ 16 + 4

⇒ Distance = √20 = √4 × √5

⇒ Distance = 4√5units .

Hence the distance between two points is 4√5u.

Answer:

Step-by-step explanation:

Hope this helps! <3

The number 235 is a composite number because 235 can be divided by 1, by itself and at least by 5 and 47. So, it is possible to draw its prime tree.

The prime factorization of 235 = 5•47.

hope this help! ^^

Answer: yes

Step-by-step explanation:

The x value does not repeat itself

Answer:

10t - 16

Step-by-step explanation:

4(t + 2)+ 6(t - 4)

4t + 8 + 6t -24

10t - 16

Perpendicular equations have opposite reciprocal slopes, so any equation perpendicular to the equation y = 1/2 x - 2 would have the slope -2.

Now plug in the point (6, -3) into the equation y = -2x + b to find out what b is.

-3 = -2(6) + b

Multiply -2 by 6.

-3 = -12 + b

Add 12.

9 = b

So the equation is y = -2x + 9

Hope this helps

Answer:

x²+x+12 = 0

Step-by-step explanation:

Area if the wooden frame = ,Length ×Width

A = LW

If the length of wooden frame is 1foot longer than it's width, then;

L = W+1

Given

A = 12ft²

Substitute the derived and given parameters into the formula to have;

P = (W+1)W

12 = (W+1)W

Open the parentheses

12 = W²+W

Subtract 12 from both sides

12-12 = W²+W -12

0 = W²+W-12

Rearrange

W²+W-12 = 0

If W = x

The quadratic equation becomes:

x²+x+12 = 0

Answer:

y = 136

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 82 + 54 = 136

Answer:

21x- 21

Step-by-step explanation:

7 × (x × 3 - 3)

7 × (3x - 3)

21x - 21

I'm not sure if the answer is correct

Answer:

6,4

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!

Answer:

m∠A = 39°

Step-by-step explanation:

From the figure attached,

BE ≅ BC

m∠C = 32°

m∠BFD = 103°

In ΔBCE,

m∠E = m∠C = 32°  [Since, BE ≅ BC]

m∠E + ∠C + m∠EBC = 180°

32° + 32° + m∠EBC = 180°

m∠EBC = 116°

m∠EBC + m∠EBA = 180° [Linear pair of angles]

116° + m∠EBA = 180°

m∠EBA = 64°

Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]

m∠AFB + 103° = 180°

m∠AFB = 77°

Now in ΔAFB,

m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]

m∠A + 77° + 64° = 180°

m∠A = 39°

Answer:

The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number

Step-by-step explanation:

The given information are;

The width of the swimming pool = 75 ft. 1 in.

The length of swimming pool = 60 ft.

The depth of the swimming pool = 14 ft. 10 in.

Therefore;

The volume of the swimming pool = Width × Length × Depth

The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.

The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³

1 in.³ = 2.14335 × 10⁻⁵ yd³

∴ 115472160 in.³ = 115472160 in.³  × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³

Which gives;

The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.

Answer:

$140

Step-by-step explanation:

150-10=140

$140

HOPEFULLY IM RIGHT!!

Have A Nice Day!!!!

:)))

Answer:

y=2x+5

Step-by-step explanation:

Answer:

Side C= 22

Side B = 12

Side A= 22.16627

i do think it is 22.16627

Step-by-step explanation:

hope this helps

Answer:

y=1.6x-5

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

ratio is 3:5

David gets 3x, Jack gets 5x

So, 3x+5x=120

8x=120

x=15

David got 3x = 3*15 = $45

Answer:

45$

Step-by-step explanation:

120/8=15

15*3=45

because it is 3:5 ratio

Answer:

10.5  = x

Step-by-step explanation:

7:x = 2:3

can be rewritten as

7/x = 2/3

because, a proportion is the same as a fraction, which is the same as division

so now use cross products to solve the equations

7/x = 2/3

7 * 3 = 2 * x

simplify

21 = 2x

inverse operations

21 = 2x

/2    /2

10.5 = x

Answer:

The dilation is 3 times smaller of divided by 3.

Step-by-step explanation:

If you look at each beginning point all the numbers are divisible by 3 then when you look at the ending points they are the same as the beginning just 3 times smaller.

Answer:

The dilation is 3 times smaller of divided by 3.

Step-by-step explanation:

If you look at each beginning point all the numbers are divisible by 3 then when you look at the ending points they are the same as the beginning just 3 times smaller.

Step-by-step explanation:

Answer:

Maximum number of gift cards she can purchase = 33

Reward points left with her = 48

Step-by-step explanation:

Let Albert's mom buys the number of gift cards = x

Points for each gift card = 75

Total points consumed to buy x gift cards = 75x

If total points with Albert's mom = 2523

So the remaining points with her = (2523 - 75x)

Inequality representing the remaining points will be,

(2523 - 75x) ≥ 0

75x ≤ 2523

x ≤ [tex]\frac{2523}{75}[/tex]

x ≤ 33.64

Maximum number of cards she can buy = 33

Therefore, reward points with her = 2523 - (75 × 33)

                                                         = 2523 - 2475

                                                         = 48

Answer:

156 minutes

Step-by-step explanation:

2 hrs=120 minutes

3/5 hr=3/5 *60=36 minutes

120+36=156 minutes

hope this helps

brainliest?

Answer:

156 minutes

Step-by-step explanation:

2*60=120

.6*60=36

36+120-156

Brainliest Appreciated!

Answer:

g(x2+6x+7)=x2+6x+9

Step-by-step explanation:

Evaluate g(f(x)) by substituting in the value of f into g

g(2x)=6(2x)−7

Multiply 2 by 6

g(2x)=12x−7

Answer:

A ÷ (WH)

Step-by-step explanation:

Answer:its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

A(11, –2, –6) and B(–3, 7, –5) are located away from the origin (0,0,0), the points from the origin to this points is expressed as OB - OA where;

OB is the distance from the origin to the point B

OA is the distance from the origin to the point A

Using the formula for calculating distance between two points

OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²

OA = √(-6-0)²+(-2-0)²+(11-0)²

OA = √(-6)²+(-2)²+(11)²

OA = √36+4+121

OA = √161

OA = 12.688

Similarly;

OB = √(-5-0)²+(7-0)²+(-3-0)²

OA = √(-5)²+(7)²+(-3)²

OA = √25+49+9

OA = √83

OA = 9.110

Distance from the origin to the points = 12.688 - 9.110 = 3.577

Distance from the origin to the points  ≈ 3.6 (to the nearest tenth)

Answer:

The distance from the origin to point A is 12.7 units.

The distance from the origin to point B is 9.1 units.

Point A is 3.6 units farther from the origin than point B.

Answer: I don't really get what you're asking but if you're asking what a scale factor is you multiply each point by that number say point A was -3, 2  you'd do: -3 x 13 and 2 x 13

Step-by-step explanation: