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3 years ago

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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If x+y+z=9, xy+yz+zx =26; find x²+y²+z²

vichka [17]

First, we must expand and simplify :
$x + y+z = 9$

$(x + y+z)^{2} = (9)^{2}$

$x^{2} + y^{2}+z^{2} + 2(xy + yz+zx) = 81$

And Than, Enter the value :
$x^{2} + y^{2}+z^{2} + 2(26) = 81$

$x^{2} + y^{2}+z^{2} + 52 = 81$

$x^{2} + y^{2}+z^{2} = 81- 52$

$\boxed{x^{2} + y^{2}+z^{2} = 29}$

7 0

4 years ago

Read 2 more answers

If a = 4 and b = 5, what is the value of the following expression? 6a + 3b - 8

castortr0y [4]

Simple...

you have: 6a+3b-8

a=4 and b=5

Plug in what you know-->>

6(4)+3(5)-8

24+15-8

39-8

31

Thus, your answer.

5 0

3 years ago

Please help me out! I have only 1 hour left! I will give brainlist to correct answers. 5 stars and thanks for ALL answers, even

IrinaK [193]

Answer:

The small tire would make about 127 rotations.

The large tire would make about 38 rotations.

b. Would you rather ride a bicycle made with two large wheels or two small wheels? Explain.

Two large wheels. Because the larger wheel makes a smoother ride and you spend less energy in order to move, compared to smaller wheels. Also, the larger the diameter, the further it can travel over one revolution.

A bicycle with would allow you to travel farther with each rotation of the pedal.

The larger one. Because in one rotation the larger wheel moves 188.49 inches and the smaller one 56.55 inches.

$C= 188.49\text{inches}$

$C= 56.55\text{inches}$

Step-by-step explanation:

- Big wheel 60 inches

- Small wheel 18 inches.

a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.

Considering: $C=\pi d$

Large tire:

$C=60\pi$

$C= 188.49\text{inches}$

$C=\frac{188.49}{12} = 15.7 \text{feet}$

$\frac{600 }{15.7} = 38 \text{rotations}$

Small tire:

$C=18\pi$

$C= 56.55\text{inches}$

$C=\frac{56.55}{12} = 4.71 \text{feet}$

$\frac{600 }{4.71} = 127 \text{rotations}$

8 0

3 years ago

In this pattern 9,12,15,18,21 what is the next number

laiz [17]

It is 24. You just add 3 each time. hope it helps!

8 0

3 years ago

Solve for www. Give an exact answer in simplified form. 53w+13 < 56w + 16

ki77a [65]

The solution will be: $w>-1$

Explanation

The given inequality is: $53w+13 < 56w + 16$

First we will subtract $56w$ from both sides. So.....

$53w+13-56w$

Now we will subtract 13 from both sides. So.....

$-3w$

Then we need to divide both sides by -3. As here we are dividing the inequality by a negative number, so we need to switch the inequality symbol. So, we will get.......

$\frac{-3w}{-3}>\frac{3}{-3}\\ \\ w>-1$

Thus, the solution will be: $w>-1$

5 0

3 years ago