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Zina [86]
3 years ago
12

30 sweets are shared between 2 groups in the ratio 3:7. How many sweets are in each group?

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

Answer:

See explanation below

Step-by-step explanation:

Given the ratio between two groups to be 3:7

Total ratio = 3+7 = 10

Total sweet shared = 30sweets

For the group with ratio of 3;

Share = 3/10×30

Share = 3×3

Share = 9 sweet

For the group with ratio of 5

This share = 7/10×30

This share = 7×3

This share = 21sweet

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Y=-2x²-8x-5 domain and range
Jobisdone [24]

Answer:

Domain: All real numbers

Range: y≤3

Step-by-step explanation:

The given function is

y =  - 2 {x}^{2}  - 8x - 5

This is a polynomial function.

The domain is set of all values of x, that makes this function defined.

Since polynomial functions are defined everywhere, the domain is all real numbers.

To find the range we put the function in vertex form:

y =  - 2( {x}^{2}  + 4x) - 5

y =  - 2( {x}^{2}  + 4x + 4) - 5 +  - 4 \times  - 2

y =  - 2( {x}  + 2)^{2} - 5 + 8

y =  - 2( {x}  + 2)^{2}  +  3

The maximum value is 3

The function turns downward, hence the range is:

y \leqslant 3

6 0
3 years ago
Question 28
alexandr402 [8]

Answer:

Given Rate of interest is r=8%=0.08

Principal Amount is A=5,000

Time is t years

Interest is compounded yearly twice ⟹n=2

Amount =P(1+

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r

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nt

=5000×(1+

2

0.08

)

2t

=5,408

(1.0816)

t

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7 0
3 years ago
What is the surface area of this square pyramid
My name is Ann [436]

Answer 144 ft2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to the line whose equation is x-y=6x−y=6. Fully simplify your answer.
svlad2 [7]
It should by the answer but if not sorry
Answer:
(X,Y)
(0,6)
4 0
2 years ago
Which of the following is a factor of 2x^4 22x^3 60x^2? 2x^3 x^4 x 4 x 5
zavuch27 [327]
The factor theorem says that for a function f(x), if f(a) = 0, then (x - a) is a factor of f(x).
For f(x) = 2x^4 + 22x^3 + 60x^2
f(-5) = 2(-5)^4 + 22(-5)^3 + 60(-5)^2 = 2(625) + 22(-125) + 60(25) = 1250 - 2750 + 1500 = 0
Therefore, x - (-5) = x + 5 is a factor of f(x).
8 0
3 years ago
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