y - 8 = -10
How do I verify the solution ?

2/3 x 9 = 6 slices

1/3 x 18 = 6 slices

Hence they give the same number of slices.

Answer:

8 mph

Step-by-step explanation:

45 minutes = 6 miles

1 hour = 8 miles

Answer: aₙ = 3 + 4ⁿ⁻¹

So the formula would be:

aₙ = 3 + 4ⁿ⁻¹

Where a₁ = 3

Common Ratio (r) = 4

And n = the term number that needs to be found out

Step-by-step explanation:

Let's check if the answer is right:

To find the 1st number in the term we can substitute 1 in for n in the equation:

a₁ = 3 + 4¹⁻¹

a₁ = 3 + 4⁰

a₁ = 3 + 1

a₁ = 4

And if going back and checking the first number in the sequence given is indeed 4, therefore this equation is correct

Hope this helps!

Answer:

Dave will get £1.60 change. Hence Dave is right

Step-by-step explanation:

Complete question

Dave goes into a cafe and buys 2 cups of coffee and a piece of cake.

Each

cup of coffee costs £2.75

The cake costs £2.90

Dave pays with a £10 note.

He thinks he will get more than £1.50 in change.

Is Dave correct?

Solution

Cost of one cup of coffee = £2.75

Cost of two cup of coffee = 2* £2.75 = £ 5.5

Cost of cake =  £2.90

Total amount given by Dave =  £10

Amount left with Dave =  £10 -£ 5.5 - £2.90 = £1.60

Dave will get £1.60 change. Hence Dave is right

Answer:

(-3,-5)

Step-by-step explanation:

The solution to the system of equation is where the two graphs intersect.

They intersect at x=-3 y=-5

Answer:

8/5

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    = (10- -6)/(5 - -5)

    = (10+6)(5+5)

   = 16/10

   = 8/5

1.6

Step-by-step explanation:

change in y ÷ change in x

(10--6)=16

(5--5)=10

16÷10=1.6

Answer:

D

Step-by-step explanation:

i'm doing the activity rn and got it right

Answer:

the answer is d

Step-by-step explanation:

slope = rise/run

rise = -3 ... move down 3 units

run = 4 .... move to the right 4 units

============================================

Work Shown:

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (-17-(-2))/(24-4)

m = (-17+2)/(24-4)

m = -15/20

m = -3/4 is the slope

----------------

It basically means "move down 3 units, and move to the right 4 units"

So, slope = rise/run = -3/4

rise = -3 = move down 3 units

run = 4 = move to the right 4

You could express the slope as a decimal, and that would be -3/4 = -0.75, but you lose the rise and run values. So I recommend you keep the fraction.

Another problem with decimals is that sometimes we could have approximations that aren't exact. For example, if the slope was 2/3, then that approximates to 0.667 which may cause rounding errors down the line. Though I should point out that decimals do have their advantages in some cases.

Answer:

m ACG = 17

x = 24

Step-by-step explanation:

[tex]1)\ m\ ACG = x - 7 = 90 - 73 = 17[/tex]

[tex]2)\ x - 7 = 17 => x = 17 + 7 = 24[/tex]

Answer:

a) 61 b) 151

Step-by-step explanation:

measure of the complement =  29 + x = 90 ; x = 90-29 = 61  

measure of the supplement = 29+x= 180 ; x = 180 - 29 = 151

I hope im right!!

Answer:A

Step-by-step explanation:

3/4*22/7*14^2

=3/4*22/7*14*14

=3*11*2*7

=33*2*7

=66*7

=462

Answer:

462

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

square formula for area is [tex]s^{4}[/tex]

Answer: The required point = (1.857,8.643)

Step-by-step explanation:

Equation of circle with center (h,k) and radius r: [tex](x-h)^2+(y-k)^2=r^2[/tex]

Given: Radius = 5 , center = (0,4)

Eqation of circle: [tex](x-0)^2+(y-4)^2=5^2[/tex]

[tex]x^2+(y-4)^2=25[/tex]

[tex]x^2+(2.5x+4-4)^2=25[/tex]  [Using equation y = 2.5 x + 4  ]

[tex]x^2+(2.5x)^2=25[/tex]

[tex]x^2+6.25x^2=25[/tex]

[tex]7.25x^2=25[/tex]

[tex]x^2=3.44827586207[/tex]

[tex]x=1.857[/tex]

[tex]y= 2.5(1.857)+4[/tex]

[tex]=8.6425[/tex]

Hence, the required point = (1.857,8.643)

Answer:

data from minimum to maximum :

76 76 78 80 80 80 82 82 83 85 85 85 88 88 110

n= 15 , so the median is X8 = 82 minutes

mean =

(76+76+78+80+80+ 80 +82+ 82+ 83+ 85+ 85+ 85 +88 +88+ 110) / 15 = (1,258)/15 = 83.87 minutes

in order to get higher standard its better use mean as a typical value.

Answer:

easy cut the hole shape into samller versions of the shapes and than at the end when u have all the numbers add them to the hart

Step-by-step explanation:

Answer

u=69

d=42

f=35

e=35

g=55

h=45

i=45

m=120

k=15

L=75

j=15

p=21

q=55

t=42

o=69

n=21

a=60

b=60

c=60

Step-by-step explanation:

angles in a triangle add up to 180 degrees

the little squares in the corner mean its a right angle (90 degrees)

the two lines like in the op triangle mean the two angles downwards are the same.

angles in a semicircle add up to 180 degrees

3 lines mean all angles are the exact same

(Sorry i forgot 2 angles dont know which ones i forgot but with the info i gave you should be able to work those two out :)

Answer:

1/5 should be the answer

for every 2 teaspoons of vanilla it is 2/5, so for one it has to be 1/5 because 1/5 cup plus 1/5 cup will be 2/5 for 2 teaspoons.

Here's the solution,

the opposite angles of parallelogram are equal, so, Angle G = Angle E

=》3x + 11 = 5x - 9

=》5x - 3x = 11 + 9

=》2x = 20

=》x = 10

value of x = 10

now, Angle G = 5x - 9

=》(5 × 10) - 9

=》50 - 9

=》41°

Angle G and Angle F are supplementary, so

=》 41° + Angle F = 180°

=》Angle F = 180° - 41°

=》Angle F = 139°

Answer: [tex]52\ cm,\ 176.55\ cm^2[/tex]

Step-by-step explanation:

Given

The cylinder is 20 cm high

The radius of the cylinder is [tex]r=3\ cm[/tex]

The total area of the figure is the sum of the rectangle and two circles

[tex]\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm[/tex]

The total area of the figure is

[tex]\Rightarrow \text{Area A=}h\times 2r+2\pi r^2\\\Rightarrow A=20\times 6+2\times \pi \times 3^2\\\Rightarrow A=120+18\pi\\\Rightarrow A=176.55\ cm^2[/tex]

Step-by-step explanation:

hope it is helpful to you

Step-by-step explanation:

hope it helps you have a good day

Answer:

The answer is 24 in my opinion

Step-by-step explanation:

1)1 2 3 4

2)1 2 4 3

3)1 3 2 4

4)1 3 4 2

5)1 4 3 2

6)1 4 2 3

Answer:

C-24

Step-by-step explanation:

Answer: 24 cubic units

The formula for a prism is l x w x h. So 4 x 2 x 3.

Hope it helps :)

Answer:

V(t) = 38000(0.84)^t

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is C because negative means it will be going down so it isnt A or B and you can see D has a curve up before it goes down so C is the best answer

hope this helps

Answer:

C. 6

May the 4th be with you :)

Answer:

x = 6

4(8-6)=8

4(2)=8

8=8

Answer:

Total number of ways of making the core committee = 3150

Step-by-step explanation:

Complete Question  

A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 6 faculty members and 10 students eligible to serve on the committee. In how many ways can the committee be formed?

Solution  

Total Faculty members = 6

Total Students = 10

Out of 6 faculty members, 2 will be chosen for the committee

While 4 students will be chosen out of 10 to be in the committee.  

Hence,  

Total number of ways of making the core committee = 6C2 * 10C4

= 15*210  

= 3150

Answer:

1

Step-by-step explanation:

The sum of probability of two complementary events is always equal to 1. This happens because the probability of a complementary event is always determined by deducting the probability of a given event from 1.