All categories

3 years ago

Given the equation ay − b = c, which expression represents y? a.) c-b/a b.) c+b/y c.) c+b/a d.) c+a/b

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

Answer:

Option C. y = ( c + b ) / a

Step-by-step explanation:

For this problem, we must simply isolate the y variable from the unknowns a, b, and c.

ay - b = c

ay - b + b = c + b

ay = c + b

ay * ( 1 / a ) = ( c + b ) * ( 1 / a)

y = ( c + b ) * ( 1 / a )

y = ( c + b ) / a

Thus, we will want to choose option C.

Cheers.

You might be interested in

What is 10÷3(4÷6)+.50

lianna [129]

52 2/9 is the answer.

8 0

3 years ago

Determine the sample size needed to construct a 99% confidence interval to estimate the average GPA for the student population

Volgvan

Answer: n = 14

Step-by-step explanation: margin of error = critical value × σ/√n

Where σ = population standard deviation = 1

n = sample size = ?

We are to construct a 99% confidence interval, hence the level of significance is 1%.

The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58

Margin of error = 0.7

0.7 = 2.58×1/√n

0.7 = 2.58/√n

By cross multipying

0.7×√n = 2.58

By squaring both sides

0.7^2 × n = 2.58^2

0.49 × n = 6.6564

n = 6.6564/0.49

n = 14

3 0

3 years ago

Sandy went to her local zoo that featured 37 monkey exhibits. If the zoo features 49 exhibits in total, then what percent of the

Leona [35]

Answer:

75.5102040816%

Step-by-step explanation:

so the answer is 75% or 75.5%

37 x 100 =3,700

3,700 ÷ 49 =75.5102040816% so the actual answer is 75% bc they want you to round but its 6 and above to round up do you round down to 75%

4 0

3 years ago

Which is the value of the 8th term in the sequence 4,8,16,32...?

OLga [1]

Answer:

The answer is 512

Step-by-step explanation:

4) 32 x 2=60

5) 64 x 2= 128

6) 128 x 2= 256

7) 256 x 2 = 512

8) answer - 512x2=1,024

Multiply each product by 2!

8 0

3 years ago

(a) Name the minor arc __________ Name the major arc ___________

iragen [17]

Answer:

Part a) minor arc: XY; major arc: XVY

Part b) $248\°$

Part c) The tangent line is UV and the secant line is XY

Part d) $UV=6\sqrt{5}\ units$ or $UV=13.42\ units$

Step-by-step explanation:

Part a) we know that

The major arc is the larger arc joining two points on the circumference of a circle. Is an arc larger than a semicircle.

The sum of major and minor arcs is the whole circle, 360°

In this problem, possible major arcs are

VYX, VXY, XVY

and the corresponding minor arcs are

VX, VY, XY

Part b) we know that

The sum of major and minor arcs is the whole circle, 360°

Let

x------> measure minor arc

y-------> measure of major arc

$x+y=360\°$

we have

$x=112\°$

substitute

$112\°+y=360\°$

$y=360\°-112\°=248\°$

Part c) we know that

A tangent line intersects a circle at exactly one point.

In this problem

The tangent line is UV

A secant line intersects a circle in two points.

In this problem

The secant line is XY

Part d) we know that

The <u>Intersecting Secant Theorem</u> States: When two secant lines intersect each other outside a circle, the products of their segments are equal

$UV*UV = UX*UY$

$UV^{2} = 9*(9+11)$

$UV^{2} = 180$

$UV=\sqrt{180}\ units$

Simplify

$UV=6\sqrt{5}\ units$ or $UV=13.42\ units$

7 0

3 years ago