On a particular day, the wind added 3 km per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 km per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 36.5 km with the wind, he could go only 24 km against the wind. To the nearest whole number, what is his normal bicycling speed with no wind?​

Answer:

Step-by-step explanation:

A genuine number x will be called a arrangement in case it fulfills the condition meaning It is simple to see that the roots are precisely the x-intercepts of the quadratic work, that's the crossing point between the chart of the quadratic work with the x-axis

Answer:

55 cm

Step-by-step explanation:

[tex]\frac{22}{8} =\frac{x}{20} \\8x=440\\x=55cm[/tex]

Answer:

B)Goal Function

Answer:

Step-by-step explanation:

Using the solution diagram below ;

Let height of monument = h

Using trigonometric relation :

Tan θ = Opposite / Adjacent

Tan 47 = h / 32

h = tan 47 * 32

h = 34.315 feets

h = 34.3 feets

[tex]\sf\purple{2.667}[/tex] ✅

Step-by-step explanation:

[tex]4 \times \frac{2}{3} \\ = \frac{4 \times 2}{ 3} \\ = \frac{8}{3} \\ = 2.667 [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

The measure of angle O (m∠O) is 48°. The correct option is the first option- 48°

From the question, we are to determine the measure of angle O

From one of the circle theorems, we have that

The angle at the center is twice the angle at the circumference

∴ m∠O = 2 × m∠R

From the diagram, m∠R = 24°

Then,

m∠O = 2×24°

m∠O = 48°

Hence, the measure of angle O (m∠O) is 48°. The correct option is the first option- 48°

Learn more on Circle Geometry here: https://brainly.com/question/21872415

#SPJ2

Answer:

9.57m

Step-by-step explanation:

Answer:

Other person's wrong, I tried their answer. It's actually 9.6. They would've been right but they rounded to the nearest HUNDREDTH. Not tenth.

Answer:

Denise = total cost $3,345.00 per mile cost is 0.3185 or 32 cents per mile

Total Lease cost = $15,516

Step-by-step explanation:

Answer:

9 and 16

Step-by-step explanation:

let the two numbers are X and Y

X+Y=24

X^2-Y^2=144

solve simultaneously

Answer:

Trong hoạt động mở, Fed mua và bán chứng khoán chính phủ trên thị trường mở. Nếu FED muốn tăng cung tiền, nó sẽ mua trái phiếu chính phủ. ... Ngược lại, nếu FED muốn giảm cung tiền, nó sẽ bán trái phiếu từ tài khoản của mình, do đó thu về tiền mặt và loại bỏ tiền ra khỏi hệ thống kinh tế.

Step-by-step explanation:

em yêu

true

Producers --> Consumers --> Primary consumers --> Secondary consumers -->  

Tertiary consumers --> Quaternary consumers --> Decomposers --> Producers

and the cycle keeps repeating

Hope it helps...  

Answer:

-3(6/8+9/8)+4 2/5

Step-by-step explanation:

You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.

Answer:

AOB = 65°

DOE = 35°

AOC = 90°

EOB = 115°

DOB = 85°

Hope this helps!

Answer:

÷(-2)

Step-by-step explanation:

200÷(-2)=(-100)

-100÷(-2)=50

50÷(-2)=(-25)

Step-by-step explanation:

d = √(15-10)²+(-6-3)²

=√5²+(-9)²

= √25+81

=√106

10.3 units

Answer:

The answer is 3k^2m^6/4

Answer:

4 / x¹⁴y⁸

Step-by-step explanation:

eliminate parenthese by multiplying all exponents inside parentheses by the exponent outside the parentheses:

1/2⁶ ÷ 1/4⁴ = 1/64 ÷ 1/256 which equals 256/64 or 4

x⁻⁶y⁴ ÷ x⁸y¹² = x⁻¹⁴y⁻⁸ = 1/x¹⁴ · 1/y⁸

put it all together to get:

4÷(x¹⁴y⁸)

Answer:

they are not equal

Step-by-step explanation:

13/4 hour is 3hour and 15 minutes

Answer:

A) (-9/7,0), (3/8,0)

Step-by-step explanation:

Zeros of a quadratic function:

x for which y = 0.

In this question:

[tex]y = 6(7x + 9)(8x - 3)[/tex]

It's 0 if one of the factors is 0. 6 is never 0, now about the other to:

[tex]7x + 9 = 0[/tex]

[tex]7x = -9[/tex]

[tex]x = -\frac{9}{7}[/tex]

So (-9/7, 0) is a zero of the quadratic function.

The other is:

[tex]8x - 3 = 0[/tex]

[tex]8x = 3[/tex]

[tex]x = \frac{3}{8}[/tex]

(3/8,0) is the other zero.

Thus, the correct answer is given by option A.

Number 1 is 5y = 50

Number 2 is h = 7

Number 3 is multiplication

Number 4 is addition

Answer:

Step-by-step explanation:

Because 5x - 1 = 55 - 1 = 24 = y

Answer:

Step-by-step explanation:

[tex]( 5 \: \: \: \: \: \: \: \: 24) \\ replace \: \: \: x \: \: \: and \: \: y \\ y = 5x - 1 \\ 24 = 5 \times 5 - 1 \\ 24 = 25 - 1 \\ 24 = 24[/tex]

Answer:

An inequality to represent the number of times you would need to golf in order for the summer pass to be a better deal is:

10x> 150

Step-by-step explanation:

hope this helps <3

Answer: 1 s

Step-by-step explanation:

Given

Jamie speed is 15 m/s

Erika speed is 10 m/s

Erika has a 5 m head start

For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t

[tex]\therefore 15t=5+10t\\\Rightarrow15t-10t=5\\\Rightarrow 5t=5\\\Rightarrow t=1\ s[/tex]

After 1 s, Jamie and erika meet at the same point.

Answer: 1 s

Step-by-step explanation:

Given

Jamie speed is 15 m/s

Erika speed is 10 m/s

Erika has a 5 m head start

For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t

After 1 s, Jamie and erika meet at the same point.

Answer:

(x-1)(x+30)

..............

Step-by-step explanation:

hope it helps.

Answer:

Kindly check explanation

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; r = rate ; n = number of compounding times per period ; t = period ; P = principal

P = 2500 ; r = 4% = 0.04 ; t = 5 years

Daily compounding, n = 365

Yearly compounding, n = 1

Quarterly compounding, n = 4

Daily compounding :

A = 2500(1 + 0.04/365)^(5*365)

A = 2500(1.0001095)^1825

A = $3053.4734

Yearly :

A = 2500(1 + 0.04/1)^(5*1)

A = 2500(1.04)^5

A = $3041.6323

Quarterly:

A = 2500(1 + 0.04/4)^(5*4)

A = 2500(1.01)^20

A = $3050.4751

Answer:

hope it helps mark as brainliest