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2 years ago

The ratio of boys to girls is 15:11 .if boys are 435 find the number of girls

Mathematics

1 answer:

Alona [7]2 years ago

3 0

Answer:

$Girls = 319$

Step-by-step explanation:

Given

$Boys: Girls = 15:11$

Required

Find Girls, when Boys = 435

Substitute 435 for Boys

$435: Girls = 15:11$

Express as fraction

$\frac{Girls}{435} = \frac{11}{15}$

Multiply through by 435

$435 * \frac{Girls}{435} = \frac{11}{15}* 435$

$Girls = \frac{11}{15}* 435$

$Girls = \frac{11* 435}{15}$

$Girls = \frac{4785}{15}$

$Girls = 319$

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Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding re

raketka [301]

Answer:

(See explanation below for further details).

Step-by-step explanation:

Let be a parametric curve represented by $x = 3\cdot t - 5$ and $y = 5\cdot t + 1$ , where $t$ is the parametric variable.

The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.

$t = \frac{x+5}{3}$ and $t = \frac{y-1}{5}$

$\frac{x+5}{3} = \frac{y-1}{5}$

$5\cdot (x+5) = 3\cdot (y-1)$

$5\cdot x +25 = 3\cdot y - 3$

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The parametric equations represents a linear function (first-order polynomial).

8 0

3 years ago

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

Maru [420]

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

$a_n=a_1+(n-1)d$

For the 15th, term it will be

$a_{15}=-3+(15-1)d\\53=-3+14d$

Adding 3 on both sides

$53+3 = -3+3 + 14d\\56 = 14d$

Dividing both sides by 14

$\frac{56}{14}=\frac{14d}{14}\\d=4$

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

2 years ago

Hey lol help lol

Gwar [14]

Answer:

Just cut the tree down and stick it to the teachers.

Step-by-step explanation:

7 0

2 years ago

In ΔNLM, if m∠M=(4x-4)°, m∠L=(3x+12)°, and m∠N=(6x+3)°, what is x?

GarryVolchara [31]

Answer:

x = 13

Step-by-step explanation:

The sum of angle measures in a triangle is 180°.

m∠M + m∠L + m∠N = 180°

(4x-4)° + (3x+12)° + (6x+3)° = 180°

13x +11 = 180 . . . . . . collect terms, divide by °

13x = 169 . . . . . . . . . subtract 11

x = 13 . . . . . . . . . . . . . divide by 13

5 0

2 years ago

R= m/2 (c + K) for k

Wewaii [24]

Answer:

$\bold{K=\frac{2r}m-c=\frac{2r-cm}m}$

Step-by-step explanation:

$\bold{r= \frac m2 (c + K)}\\^{\div\frac m2}\qquad^{\div\frac m2}\\ \bold{r\cdot\frac2m=c+K}\\{}\ ^{-c}\qquad^{-c}\\\bold{\frac{2r}m-c=K}$

Or if you mean r= m/[2(c + K)]

$\bold{\quad r\ =\ \frac m{ 2(c + K)}}\\^{\cdot(c+K)}\quad^{\cdot(c+K)}\\ \bold{r(c+K)=\frac m2}\\{}\qquad ^{\div r}\qquad^{\div r}\\\bold{c+K=\frac m2\cdot\frac1r}\\{}\quad^{-c}\qquad^{-c}\\\bold{K=\frac m{2r}-c}$

5 0

2 years ago

The ratio of boys to girls is 15:11 .if boys are 435 find the number of girls​

The ratio of boys to girls is 15:11 .if boys are 435 find the number of girls