Mathematics College

A. using substitution find the value of the remaining unknown in each of the following formulas.

1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3

Answers

Answer 1

Answer:

Substitution means that we need to replace some of the variables by the given values.

1)  t = rs*(s + 1)      (if r=4 and s=5)

So we just need to replace r by 4 and s by 5 in the equation.

t = 4*5*(5 + 1) = 20*6 = 120

t = 120

2)  k = 6 - 5q/2g     (if q=3 and g=8)

We need to replace q by 3, and g by 8.

k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167

k = 5.167

3) p = a + b - 2c   (if a = 2, b = -1, c = 5)

Replacing the variables we get:

p = 2 + (-1) - 2*(5)

p = 2 - 1 - 10 = -9

p = -9

4) I = 1/x - 2/y + z   (if x = 4, y = 6, and z = 2/3)

Replacing the variables we get:

I = 1/(4) - 2/(6) + (2/3)

I = 1/4 - 2/6 + 2/3 =  1/4 - 1/3 + 2/3

I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12

I = 7/12 = 0.583

Related Questions

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Answers

Answer:

44

Step-by-step explanation:

24/4=6

5x4 = 20

20+24=44

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Answer:The inverse is 3.3x

Step-by-step explanation:

Answer:

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----------------

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

;)


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

The correct answer is A.

The area of the square with a side length of 19 meters is 361 square meters.

To determine the area of a square, you multiply the length of one side by itself.

In this case, the side length is given as 19 meters.

To calculate the area of a square, you can use the formula:

Area = side length × side length

Area = 19 meters × 19 meters

Area = 361 square meters

So, the area of the square with a side length of 19 meters is 361 square meters.

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Answers

Answer:

31°

Step-by-step explanation:

The total triangle is 180°

Subtract 180-(33+116)

The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each

Answers

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

Make two equations
O = orange, A = allele
(12O + 7A = 5.36) 2
(8O + 5A = 3.68) 3
Make one of them same coefficient
24O + 14A = 10.72
24O + 15A = 11.04
Subtract both equations
-1A = -0.32
A = 0.32
24O + 14(0.32) = 10.72
24O + 4.48 = 10.72
24O = 6.24, O = 0.26
Solution:
One apple = $0.32
One orange = $0.26

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Answers

i think it’s the triangle

Answer:

It would be D.

Step-by-step explanation:

This formula, A=1/2 bh, 1/2 base multiplied by height, is used to find the area of a triangle, therefore, D is the only viable answer.  

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Answers

Answer:

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Step-by-step explanation:

I took 160 feet and converted it to yards

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

w=-[tex]\frac{3u}{2}[/tex]+2

Step-by-step explanation:

Answer:

w = -1.5u + 2

or

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Step-by-step explanation:

Your goal is to isolate w

-12u + 13 = 8w - 3

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Answers

Answer:

D.

Step by step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)

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Answers

Answer:

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Step-by-step explanation:

I'm sorry if it's wrong

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Answers

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Answers

Answer:

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Step-by-step explanation:

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X
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2
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4
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Answers

Answer:

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Step-by-step explanation:

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Answer:

(54, 27)

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Answers

Answer:

7 will be the answer.

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Answers

Answer:

10.2cm

Step-by-step explanation:

Diagonal= √8.5^2 + 5.6^2

=10.2cm

Maria is 4 ft 2in tall. To find the height of a flagpole, she measured her shadow and the pole's shadow . What is the height h of the flagpole?

Answers

Answer:

25 ft

Step-by-step explanation:

The height of the flagpole, using trigonometric ratio is 25feet.

The tangent of angle C will be the ratio of Maria's height to her shadow.

What is the tangent of an angle?

The tangent of an angle is the ratio of opposite side to the adjacent side.

It is given that,

Her height = 4 ft 2 inch = 25/6 feet

Length of her shadow =10/3 feet

So, tan C = (25/6)/(10/3)

tan C = 5/4

We know that ∠C and  ∠T will be equal

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During the month of April, Samantha Kept
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Answers

Answer:

she will see 108 humming birds

Step-by-step explanation:

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3240

Step-by-step explanation:

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Answers

M >= 85. The >= sign means greater than or equal to.

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Answers

Answer:

56

Step-by-step explanation:

6^2 = 36

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Answers

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

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18

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Answers

Answer:

The width of the  court is 30 feet.

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