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3 years ago

Ms. Estrada plans to take 36 chocolate chip cookies to sell at a bake sale. She wants to bake

Mathematics

2 answers:

Maksim231197 [3]3 years ago

5 0

Answer:

Option 2: x - 36 = 24

Step-by-step explanation:

sladkih [1.3K]3 years ago

3 0

Answer:

Option 1: x - 36 $\geq$ 24

Step-by-step explanation:

If Ms. Estrada wants to keep at least 24 cookies, a greater than or equal to sign needs to be used in the inequality.

Option 2 is incorrect because it sets the number of cookies equal to 24.

This is wrong because Ms. Estrada wants at least 24 cookies, not just 24.

So, option 1 is correct.

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A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5

olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

$\begin{aligned} \rm y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x- 5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end$

Then the rate of change of the function expressed as a unit rate will be

$\rm \dfrac{dy}{dx} = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx} = 4.5$

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

7 0

2 years ago

What type of number is 12i+ 360?

gladu [14]

Answer:

Step-by-step explanation:

360 + 12i

8 0

3 years ago

Find (a) the amplitude, (b) the wavelength, (c) the period, and (d) the speed of a wave whose displacement is given by y= 1.5 co

leonid [27]

Answer with Step-by-step explanation:

We are given that displacement of wave

$y=1.5cos(0.68x+37t)$

Where y in cm and t in sec.

a.Compare it with

$y=Acos(kx+\omega t)$

Amplitude of wave=A

We get A=1.5

Amplitude=A=1.5 cm

b.k=0.68

$\frac{2\pi}{\lambda}=0.68$

$\lambda=\frac{2\times 3.14}{0.68}=9.2 cm$

Using $\pi=3.14$

Wavelength of the wave=9.2 cm

c.Period= $\frac{2\pi}{T}=\omega$

$\frac{2\pi}{T}=37$

$T=\frac{2\times 3.14}{37}=0.17 s$

The period of the wave=0.17 s

Speed of the wave= $\nu \lambda=\frac{\lambda}{T}=\frac{9.2}{0.17}$

Speed of the wave=54.1 cm/s

8 0

3 years ago

3. My divisor is 8.

Vera_Pavlovna [14]

Answer: 29

Step-by-step explanation:

29 ÷ 8 = 3 remainder: 5

I solved using long division.

7 0

3 years ago

Read 2 more answers

Given A (-10,-3.5) and B (2, 5.5), find the coordinates of point P on AB so that P partitions AB in the ratio 5:1.

Sunny_sXe [5.5K]

$\textit{internal division of a line segment using ratios} \\\\\\ A(-10,-3.5)\qquad B(2,5.5)\qquad \qquad \stackrel{\textit{ratio from A to B}}{5:1} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{5}{1}\implies \cfrac{A}{B} = \cfrac{5}{1}\implies 1A=5B\implies 1(-10,-3.5)=5(2,5.5)$

$(\stackrel{x}{-10}~~,~~ \stackrel{y}{-3.5})=(\stackrel{x}{10}~~,~~ \stackrel{y}{27.5})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10+10}}{5+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-3.5+27.5}}{5+1} \right)} \\\\\\ P=\left( \cfrac{0}{6}~~,~~\cfrac{24}{6} \right)\implies P=(0~~,~~4)$

3 0

2 years ago