A recipe that serves 8 people requires 4 1/2 cup of flour how much do you need to serve for 24 people

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5}{25} =\frac{1}{5}[/tex]

Answer:

(0.54368901,0)

Step-by-step explanation:

Subsititute 0 for y and solve to find the x-intercepts.

Step-by-step explanation:

let the eqn be y = mx + b.

m = (7 - 3)/(2 - 1) = 4

sub (1, 3):

3 = 4(1) + b

b = -1

therefore, equation is y = 4x - 1

Topic: coordinate geometry

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Answer:

Option C

Step-by-step explanation:

I took this before

Answer:

C

Step-by-step explanation:

take out the brackets and merge them

Answer:

y = Ax^2

Step-by-step explanation:

below is the detailed solution

To determine the orthogonal trajectories of the family of curves

X^2 + 2y^2 = 17k^2

we have to differentiateX^2 + 2y^2 = 17k^2  with respect to x

= 2x + 4y dy/dx = 0

Hence : dy/dx = - x/2y

we have to determine the negative reciprocal

dy/dx = 2y/x ----------- 1

integrate equation 1

∫dy/2y = ∫dx/x

= 1/2 log y = log x + log c

log y = 2logx + 2logc

log y = logx^2 + logC^2

therefore : y = Ax^2  ;   where C^2 = A

Answer:

A, angle 2

Step-by-step explanation:

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Answer:

x= -2

y= 3

Now,

5x-y = 12

5*(-2) - 3 = 12

-10 - 3 = 12

-13 = 12

So, this equation doesnot pass through (-2,3).

Answer:

26123 is the answer have a good day

Answer:

Both would work.

Step-by-step explanation:

If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!

Answer:

both

Step-by-step explanation:

I got it right on the quiz

Answer:

Number of sides of the polygon is 7.

Step-by-step explanation:

Let x be the number of sides of the polygon.

Given ,

Length of each side = 5.2 m

Perimeter = 36.4 m

=> 5.2*x = 36.4

x = 36.4/5.2

x = 7

Answer:

13

Step-by-step explanation:

First, double the first equation.

If 3x+7=5, then 6x+14=10

Since they are asking for 6x+17, the answer is 10+3=13

Hope I helped!

Answer:

7 (2x+7)

Step-by-step explanation:

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Answer:

The greatest common factor is 7.

Step-by-step explanation:

7 x 2 = 14

7 x 4 = 28

7 x 3 = 21

Answer: 12 years old

Step-by-step explanation:

10,11,12,12,13,13,14

The middle in these numbers is 12

Answer:

∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)

Step-by-step explanation:

Start with the Maclaurin series for cos x.

cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!

Substitute ⅓ x².

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)

Multiply by 8x.

8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)

8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)

Answer:

x+2y=12

Step-by-step explanation:

I used DESMOS graphing calculator. I highly recommend it for problems like this.

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Suppose Tetha = alpha = 26°

Then ;

[tex] \tan( \alpha ) = \frac{y}{x} \\ [/tex]

[tex] \tan(26°) = \frac{8}{x} \\ [/tex]

[tex]0.487 = \frac{8}{x} \\ [/tex]

Multiply sides by x

[tex]0.487x = 8[/tex]

Divide sides by 0.487

[tex]x = \frac{8}{0.487} \\ [/tex]

[tex]x = 16.427[/tex]

[tex]x≈ 16.43[/tex]

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Yes, the answer is B. Boots

Edgenuit.y 2021

On boots Sasha applied the coupon of 25%, option B is correct.

percentage, a relative value indicating hundredth parts of any quantity.

If Sasha paid a total of $208.94 and applied the 25% coupon to one of the items, then we can set up the following equation:

$85.75 + $71.99 + $24.25 + $44.95 - 0.25x = $208.94

where x is the original price of the item to which Sasha applied the coupon.

Simplifying the equation, we get:

$226.94 - 0.25x = $208.94

0.25x = $18.00

x = $72.00

This means that the original price of the boots was $71.99, and Sasha applied the 25% coupon to the boots, getting a discounted price of:

$71.99 - 0.25($71.99) = $53.99

Therefore, On boots Sasha applied the coupon of 25%, option B is correct.

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https://brainly.com/question/28269290

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Answer:

I can do 102 problems in 9.01 hours.

Step-by-step explanation:

9.01 hours = 9.01 * 60 = 540.6 minutes

540.6 / 5.3 = 102

Answer:

-7/20  

Step-by-step explanation:

Answer:

-1/140

Step-by-step explanation:

-1/8*7*2/5

-7/8*2/5

-7/20

Answer:

Step-by-step explanation:

The formula for fundung the nth term of t geometeric series is expressed as;

Tn = ar^(n-1)

a is the first term

n is the number of term

r is the common ratio

Given

a = 3

r = 21/3 = 48/12 = 4

Substitute

Tn = 3(4)^(n-1)

Tn = 3(4^n/4)

Tn = 3/4(4^n)

Tn = 0.75(4^n)

Hence the nth term of the geometric series is Tn = 0.75(4^n)

To get any term, simply substitute the value of into the equation

Answer: 37 8/15 or 37.53

Step-by-step explanation:

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Answer:

The volume will increase

Step-by-step explanation:

Answer:

[tex]\boxed {x < 4}[/tex]

Step-by-step explanation:

Solve the given inequality:

[tex]5x - 1 < 2x + 11[/tex]

-Take [tex]2x[/tex] and subtract it from [tex]5x[/tex]:

[tex]5x - 1 - 2x < 2x - 2x + 11[/tex]

[tex]3x - 1 < 11[/tex]

-Add both sides by [tex]1[/tex]:

[tex]3x - 1 + 1 < 11 + 1[/tex]

[tex]3x < 12[/tex]

-Since [tex]3[/tex] is positive, then the inequality sign remains the same. So, divide both sides by [tex]3[/tex]:

[tex]\frac{3x}{3} < \frac{12}{3}[/tex]

[tex]\boxed {x < 4}[/tex] (final answer)

9514 1404 393

Answer:

  D.  2x - 6 = 5x - 45

Step-by-step explanation:

To make the linear equation, we can multiply the given equation by 5(x-3).

  [tex]\dfrac{x-9}{x-3}=\dfrac{2}{5}\\\\\dfrac{(x-9)(5)(x-3)}{(x-3)}=\dfrac{2(5)(x-3)}{5}\\\\5(x-9)=2(x-3)\qquad\text{looks like }\textit{cross multiply}\\\\5x-45=2x-6\qquad\text{use the distributive property; matches D.}[/tex]

Answer:

The correct answer is D. 2x-6=5x-45

Step-by-step explanation:

I got it right on the Plato test.

Answer:

250

Step-by-step explanation:

Answer:

a) 0.705015

b) 0.13424

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.

a) Find the probability that an egg has an incubation period between 328 and 338 hours.

For x = 328

z = 328 - 336/3.5

z = -2.28571

Probability value from Z-Table:

P(x = 328) = 0.011135

For x = 338

z = 338 - 336/3.5

z = 0.57143

Probability value from Z-Table:

P(x = 338) = 0.71615

The probability that an egg has an incubation period between 328 and 338 hours.

P(x = 338) - (P(x = 328)

0.71615 - 0.011135

= 0.705015

b) Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.

We are given a sample of 15 wren eggs,

We use this z score formula

z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation

n is random number of samples

z = 337 - 336/3.5/√15

z = 1.10657

Probability value from Z-Table:

P(x<337) = 0.86576

P(x>337) = 1 - P(x<337) = 0.13424

Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.

Answer:

The first one is x=2

hence each sides of the equilateral is 6

The second one is x=2

hence AB=BC=8 and AC=6

Answer:

3.75 mi/h

Step-by-step explanation:

0.75 miles in 0.20 hour

Speed = Distance divided by time

0.75/0.20

3.75 mi/h