Solve question in photo. Mathematics help.
Solve question in photo. Mathematics help. - 1

Answers

Answer 1
Answer: Given:
2x + 3y = 1
y = x - 8

2x + 3y = 1
2x + 3(x-8) = 1
2x + 3x - 24 = 1
5x = 1 + 24
5x = 25
5x/5 = 25/5
x = 5

y = x - 8
y = 5 - 8
y = -3

x = 5 ; y = -3

2x + 3y = 1
2(5) + 3(-3) = 1
10 - 9 = 1
1 = 1 

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HELP HELP HELP HELP !!!!!!

Answers

Answer:

5

Step-by-step explanation:

that is what I know and if I'm wrong please tell me right away I'll try it out again thank you

Answer:

5 meters

Step-by-step explanation:

The room is rectangular, so the two walls and the diagonal (distance between opposite corners) form a right triangle.

We can use a^2 + b^2 = c^2 to compute the other wall's length:

13^2 = 12^2 + x^2\n169 = 144 + x^2\n25 = x^2\nx = \pm 5

How many pence in £3.05

Answers

£3.05

1£ = 100pence

£3.05 = 3.05*100 pence

           = 305 pence.

The cost in dollars to produce x cups of lemonade is represented by the function C(x) = 10 + 0.20x. The revenue in dollars earned by selling x cups of lemonade is represented by the function R(x) = 0.50x. What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

Answers

For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.

What is inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The cost in dollars  C(x) = 10 + 0.20x.

The revenue in dollars, R(x) = 0.50x.

For revenue to outpace cost

R(x) > C(x)

0.50x > 10 + 0.20x

0.50x - 0.20x > 10

0.30x > 10

x > 10/0.30

x > 33.333

Hence, For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.

Learn more about inequality here:

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For revenue to exceed cost: R(x) > C(x)
0.50x > 10 + 0.20x
0.50x - 0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333

Therefore the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost is 34.

the time t required to drive a certain distance varies inversely with the speed, r. if it takes 4 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 55 miles per hour? a. about 2.91 hours b. about 160.00 c. 22.00 hours d. about 5.50 hours

Answers

Hello,

Answer A

d :the distance in miles
t: the time in hours
v: the speed in miles/hours (vistesse)


d=v*t
==>d=40*4=160(mi)

d=55*x=160==>x=160/55=2.909090... (mi/(mi/h)=h)≈2.91(hours)

The time it would take to drive the same distance at 55 miles per hour is 2.91 hours.

What is the time needed to drive the same distance?

If time varies inversely with speed, as time increases, speed decreases. This means that the faster one travels, the lower the time it would take to reach the destination.

The equation that can be used to represent inverse relation is:

t = k / r

Where k is the constant of proportionality

4 = k/40

k = 160

160 / 55 = 2.91 hours

To learn more about inverse proportion, please check: brainly.com/question/25748643

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4^(5 )Identify the base and the exponent in the following expression.4 is the ______ and the 5 is the _______

Answers

The number 5 is the exponent or power and the number 4 is the base of the expression.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The exponential expression is given as,

⇒ (4)⁵

In the exponential expression aⁿ, the n is the exponent or power and a is the base of the expression.

Then in the exponential expression (4)⁵, the number 5 is the exponent or power and the number 4 is the base of the expression.

More about the Algebra link is given below.

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Answer:

4 is the BASE and 5 is the EXPONENT

Step-by-step explanation:

Thx i needed this answer :P

Peter uses unit cubes to build a figure in the shape of the letter x. What is the fewest unit cub es that peter can use to build the figure?

Answers

X letter is formed by two lines. The minimum amount of cubes that one side may have to look a line that cross other line is 3, but given that one cube is shared by the two lines you only need 5 cubes. So the answer is that the fewest unit cubes that Peter can use to build the figue in the shpe of X is 5 cubes.