Find all sets of four consecutive integers whose sum is between 95 and 105

Answers

Answer 1

Answer: Hello,

Let n-2,n-1,n,n+1 the foru numbers
s=n-2+n-1+n+n+1=4n-2

95<=4n-2<=105
==>97<=7n<=107
==>24.25<=n<=26.75
==>25<=n<=26
if n=25 s=98
if n=26 s=102

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One angle is five less than three times the size of another angle. Together they have a sum of 143 degrees. What are the sizes of each angle?

Answers

Let the size of one angle be x
so the size of another angle = 3x-5
sum of the two angles = 143 degrees
so, x + 3x - 5 = 143
or, 4x = 143+5
or, x = 149/4 = 37.25 degrees
other angle = 3*37.25-5 = 106.75 degrees

let the another angle be x ,then first angle will be 3*x-5
according to the question
x + 3*x-5 =143'
x+3*x=143+5
4*x=148
x=148/4
x=37'
another angle = x =37'
first angle = 3x-5 = 3*37-5 = 111-5 = 106'

Simplify 12+3[5+(4-2)]

Answers

Hey there,

12+3(5+2)

12+(3)(7)

12+21=33

Your final answer is 33

Good evening

12+3[5+(4-2)]

= 12+3(5+2)

= 12+3(7)

= 12+ 21

= 33

I hope that's help and if you have questions please let me know !

.
The curved surface of cylinder is 484 cm^2 and height is 5.5 cm. Find its radius.

Answers

Answer:

r=14cm

Step-by-step explanation:

Curved Surface area of a cylinder=484cm²

Height=5.5cm

r=?

Curved Surface Area=2πrh

484=2×3.142×r×5.5

484=34.56r

r=484/34.56

r=14cm

Answer:

radius= 14

Step-by-step explanation:

curved surface area of cylinder = 484

height = 5.5

C.S.A = 2πrh

or, 484 = 2×22/7×r×5.5

or, 484×7 = 2×22/7×5.5×r

or, 3388 = 242×r

or, 3388/242 = r

or, 14 = r

What is the solution set of the equation 3x2 = 48 ?

Answers

Answer:

Step-by-step explanation:

6=48

solve this problem as a quadratic equation. The difference between two positive numbers is 5. Their product is 104 find the numbers.

Answers

let's call the smaller number x:

y-x=5
xy=104

y-x=5 can be rewritten as y=x+5

Substituting this into the second equation gives:

x(x+5)=104
x^2+5x=104
x^2+5x-104=0

Then simply solve as a quadratic:

x^2+13x-8x-104=0
x(x+13) -8(x+13)=0
(x-8)(x+13) = 0

x=8,-13

the question said the numbers are positive, so x=8

if x=8,

y=x+5
y=13

So the two numbers are 8 and 13.

The best way to do this is to find the factors of 104. For this I got 1, 2, 4, 8, 13, 26, 52 and 104. From this, you are then able to look at the two that have a difference of five, which in this case, is 8 and 13. You should then double check that when these are multipled, they are equal to 104, which they are. I'm not 100% sure if this is the answer that you are looking for, but the two numbers are 8 and 13

• Buyers are charged a shipping fee of $4.75 for each scarf order.Which expression can you use to find the total price of a scarf order?
48s - 4.75
4.758 - 48
48s + 4.75
4.75s + 48
HELP NOW PLSSS I BEG YOU

Answers

Answer: 48s + 4.75

Step-by-step explanation:

Each scarf is sold for $48 which is why the total price of buying s scarves is 48s or 48*s.

Assuming a single order of scarves can contain more than one scarf then that means that for s scarves, the shipping fee will remain the same at $4.75.

Should this be the case then the expression for an order of scarves will be;

= 48s + 4.75

This shows the price of ordering s number of scarves plus the shipping cost of $4.75 for the order comprising s number of scarves.

Answer:

48s + 4.75

is the answer i did the quiz and got it correct

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