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3 years ago

9

Robbie took a math quiz last week. There were 60 problems on the quiz and Robbie answered 40% of them correctly. How many proble

ms did Robbie get correct?

2 answers:

disa [49]3 years ago

7 0

Step-by-step explanation:

60×40/100=24 question

liberstina [14]3 years ago

4 0

Answer: 24

Step-by-step explanation:

4.0 x 60 = 24.

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Four times the sum of a number and 6 is equal to 2

olga55 [171]

Answer:

5.5

Step-by-step explanation:

The equation that models this problem is

4(x+6)=2 ->

4x+24=2 ->

4x=-22

x=5.5

3 0

3 years ago

A shopkeeper has 10m cartons of eggs. There were 12 eggs in each carton. He sold 2 of the carton and use 1 carton to cook for hi

Nataly [62]

Given : Shopkeeper had 10m Cartons of Eggs

Given : He sold 2 of the Cartons and used 1 Carton to cook for his Family

⇒ Shopkeeper took 3 Cartons of Eggs form 10m Cartons of Eggs

⇒ The Shopkeeper is left with (10m - 3) Cartons of Eggs

Option (1) is the Answer

6 0

3 years ago

Read 2 more answers

You are given the polar curve r = e^θ

galina1969 [7]

The tangent to $r(\theta)=e^\theta$ has slope $\frac{\mathrm dy}{\mathrm dx}$ , where

$\begin{cases}x(\theta)=r(\theta)\cos\theta\\y(\theta)=r(\theta)=\sin\theta\end{cases}$

By the chain rule, we have

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

and by the product rule,

$\dfrac{\mathrm dx}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\cos\theta-r(\theta)\sin\theta$

$\dfrac{\mathrm dy}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\sin\theta+r(\theta)\cos\theta$

so that with $\frac{\mathrm dr}{\mathrm d\theta}=e^\theta$ , we get

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^\theta\sin\theta+e^\theta\cos\theta}{e^\theta\cos\theta-e^\theta\sin\theta}=\dfrac{\sin\theta+\cos\theta}{\cos\theta-\sin\theta}=-\dfrac{1+\sin(2\theta)}{\cos(2\theta)}$

The tangent line is horizontal when the slope is 0; this happens for

$-\dfrac{1+\sin(2\theta)}{\cos(2\theta)}=0\implies\sin(2\theta)=-1\implies2\theta=-\dfrac\pi2+2n\pi\implies\theta=-\dfrac\pi4+n\pi$

where $n$ is any integer. In the interval $0\le\theta\le2\pi$ , this happens for $n=1,2$ , or

$\theta=\dfrac{3\pi}4\text{ and }\theta=\dfrac{7\pi}4$

i.e at the points

$(r,\theta)=\left(e^{3\pi/4},\dfrac{3\pi}4\right)$

and

$(r,\theta)=\left(e^{7\pi/4},\dfrac{7\pi}4\right)$

8 0

3 years ago

Which number is the inequality?

amid [387]

The answer is m= 1 which is A

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3 years ago

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Find the depreciation fraction for year 3 if the sum-of-the-years’-digits method of depreciation is used for an asset with a use

horrorfan [7]

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6 0

4 years ago