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Verdich [7]
1 year ago
8

Write an algebraic expression that represent the sum of 8 and two-third of x?

Mathematics
1 answer:
lesantik [10]1 year ago
3 0

We have to sum 8 and two-third of x, so we must multiply x by 2/3 and sum it with 8,

thus, the expression is

\frac{2}{3}x+8

You might be interested in
Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)
Mnenie [13.5K]
One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
(x-h)^2+(y-k)^2=r^2
the center is (h,k) and the radius is r

and the distance formula is
distance between (x_1,y_1) and (x_2,y_2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}


r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle


so
(x+2)^2+(y-3)^2=18
(x-(-2))^2+(y-3)^2=(\sqrt{18})^2
(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2

the radius is 3\sqrt{2}
center is (-2,3)

find distance between (8,4) and (-2,3)

D=\sqrt{(8-(-2))^2+(4-3)^2}
D=\sqrt{(8+2)^2+(1)^2}
D=\sqrt{10^2+1}
D=\sqrt{100+1}
D=\sqrt{101}




r=3\sqrt{2}≈4.2
D=\sqrt{101}≈10.04

do r<D

(8,4) is outside the circle

6 0
3 years ago
John works Monday to Friday. He buys his lunch on his way to work. Each day John buys a sandwich, a bottle of water and a bag of
kipiarov [429]

Complete question

Shop A _________________ shop B £3

Any sandwich - £2.85 ___ sandwich, water crisp

A bottle of water - 60p

A bag of crisp - 85p

Answer:

£6.50, John is incorrect

Step-by-step explanation:

Number of working days = 5 = number of days meal is purchased

Total cost per meal, shop A :

£(2.85 + 0.60 + 0.85) = £4.3

Total cost for the week = 4.3 * 5 = £21.50

Total cost per meal cost Shop B = £3

Total cost for the week = 3 * 5 = £15

Difference :

£21.50 - £15 = £6.50

Hence, Amount John saves by buying from shop B is £6.50

Numbe

4 0
2 years ago
NEED HELP ASAP FAST
liubo4ka [24]

Answer:

the probability is 50% or 1/2 (equally likely and equally unlikely)

That is because it does not state the amount of socks inside the draw; meaning the answer has to be theoretical.

If the probability is the same, than it has to equal to 100

so we can conclude that 1/2 of the drawer is blue socks and 1/2 is white socks.

5 0
3 years ago
PLEASE HELP AND SHOW WORK IF YOU CAN​
Murljashka [212]

Answer:

c) XY > RS

= true

Step-by-step explanation:

Firstly know the meaning of each sign given

> means <u>is greater than</u>

= means <u>is equal to</u>

a)XZ > ST

XZ = 8

ST = 11 - greater

= false

b) XY = RS

Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.

XY is longer than RS

= false

c) XY > RS

= true

d) RS > XY

RS is shorter than XY hence not greater.

= false

3 0
3 years ago
What is the value of z?
Licemer1 [7]

Answer:

z = 23 degrees

Step-by-step explanation:

Total degree inside a triangle = 180

We can add up the 2 angles we got.

62 + 95 = 157

Subtract 157 from 180.

180 - 157 = 23

Check = the angle missing is an acute angle (less than 90 degrees) and 23 is less than 90 degrees so it is possible.

I hope this helped and please mark me as brainliest!

6 0
2 years ago
Read 2 more answers
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