All categories

3 years ago

Nick,Sarah and Gavyn share some sweets on the ratio 6:2:1. Nick gets 30 more sweets than Gavyn. How many sweets does Sarah get?

Mathematics

1 answer:

nydimaria [60]3 years ago

3 0

Answer:

Step-by-step explanation:

N:S:G

6:2:1

Nick gets 30 more sweets than Gavyn, therefore we can say that.

$6x=x+30\\5x=30\\x=6$

As Sarah gets twice the amount of sweets that Gavyn does.

$2(6)=12$

You might be interested in

Write an equation of the line through the given point (-3, -6) with the given slope m = 3. Write the equation in slope-intercept

nlexa [21]

So we know that the slope intercept form is y=mx+b

so the formula is y=3*-3+-6

6 0

4 years ago

The figure is a circle with center O.

STatiana [176]

<u>Given</u>:

Given that the circle with center O.

The radius of the circle is OB.

The chord of the circle O is PQ and the length of PQ is 12 cm.

We need to determine the length of the segment PA.

<u>Length of the segment PA:</u>

We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".

Thus, we have;

$PA=\frac{PQ}{2}$

Substituting the value PQ = 12, we get;

$PA=\frac{12}{2}$

$PA=6 \ cm$

Thus, the length of the segment PA is 6 cm.

Hence, Option d is the correct answer.

3 0

3 years ago

The sum of two numbers is 61 and the difference is 17 . what are the numbers?

prohojiy [21]

The two numbers are 39 and 22

6 0

3 years ago

The equation t^3=a^2 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A

ankoles [38]

Answer:

2√2

Step-by-step explanation:

We can find the relationship of interest by solving the given equation for A, the mean distance.

<h3>Solve for A</h3>

$T^3=A^2\\\\A=\sqrt{T^3}=T\sqrt{T}\qquad\text{take the square root}$

<h3>Substitute values</h3>

The mean distance of planet X is found in terms of its period to be ...

$D_x=T_x\sqrt{T_x}$

The mean distance of planet Y can be found using the given relation ...

$T_y=2T_x\\\\D_y=T_y\sqrt{T_y}=2T_x\sqrt{2T_x}=(2\sqrt{2})T_x\sqrt{T_x}\\\\D_y=2\sqrt{2}\cdot D_x$

The mean distance of planet Y is increased from that of planet X by the factor ...

2√2

8 0

2 years ago

Hey how are you guys can some help me with my his <br> 2x+x=?<br> 3x+x=?

dusya [7]

Answer:

$2x + x = 3x \\ 3x + x = 4x$

6 0

3 years ago

Read 2 more answers

Nick,Sarah and Gavyn share some sweets on the ratio 6:2:1. Nick gets 30 more sweets than Gavyn. How many sweets does Sarah get?​

Nick,Sarah and Gavyn share some sweets on the ratio 6:2:1. Nick gets 30 more sweets than Gavyn. How many sweets does Sarah get?