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3 years ago

Knitting a scarf. On average she can knit 2 mm in 35 minutes. Express this as a rate in mm/min

Mathematics

1 answer:

Natali5045456 [20]3 years ago

8 0

Answer:

she can knit 1mm/17.5min or she can knit 1mm in 17 minutes and 30 seconds.

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which answer choice explains the pattern for how to find the slope using an equation in standard form?

Liono4ka [1.6K]

Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b

so we also need to convert ax+by=c into y=mx+b as shown below:

$ax+by=c$

$ax+by-ax=c-ax$

$by=-ax+c$

divide both sides by

$y=-\frac{a}{b}x+\frac{c}{b}$

Now compare it with y=mx+b, we get

$m=-\frac{a}{b}$

So using values of a and b, we can find the slope

compare given equation -5x+2y=15 with ax+by=c, we get:

a=-5, b=2

Now plug both into above formula

$m=-\frac{a}{b}$

$m=-\frac{-5}{2}$

$m=\frac{5}{2}$

Now matching these details with given choices we find that THIRD choice is the final answer.

7 0

3 years ago

In January, the depth of a lake was 808 feet. In August, the depth of the lake was 606 feet. What is the percentage decrease dec

Akimi4 [234]

Answer:

Step-by-step explanation:

808-606/808

7 0

3 years ago

Read 2 more answers

If <img src="https://tex.z-dn.net/?f=tan%20%28x%29%20%3D%20%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title="tan (x) = \frac{5}{12

Alekssandra [29.7K]

Explanation:

First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that

$\sin x = -\frac{5}{13}\;\;\text{and}\;\;\cos x = -\frac{12}{13}$

Note that both sine and cosine are negative because x is in the 3rd quadrant.

Recall the addition identities listed below:

$\sin(\alpha + \beta) = \sin\alpha\sin\beta + \cos\alpha\cos\beta$

$\Rightarrow \sin(180+x) = \sin180\sin x + \cos180\cos x$

$\;\;\;\;\;\;= -\sin x = \dfrac{5}{13}$

$\cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta$

$\Rightarrow \cos(180 - x) = \cos180\cos x + \sin180\sin x$

$\;\;\;\;\;\;=-\cos x = \dfrac{12}{13}$

$\tan(\alpha - \beta) = \dfrac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta}$

$\Rightarrow \tan(360 - x) = \dfrac{\tan 360 - \tan x}{1 + \tan 360 \tan x}$

$\;\;\;\;\;\;= -\tan x = -\dfrac{5}{12}$

Therefore, the expression reduces to

$\sin(180+x) + \tan(360-x) + \frac{1}{\cos(180-x)}$

$\;\;\;\;\;= \left(\dfrac{5}{13}\right) + \left(\dfrac{5}{12}\right) + \dfrac{1}{\left(\frac{12}{13}\right)}$

$\;\;\;\;\;= \dfrac{49}{26}$

5 0

3 years ago

Need help ASAP I will give you 10 points

arlik [135]

Answer: x=18

Step-by-step explanation:

First distribute:

(18/6)-(x/6)=0

Isolate the x variable:

(18/6)=(x/6)

18=x

5 0

3 years ago

Y varies directly as g and v = 36 when g =4 find v when g = 11

Inessa05 [86]

I’m so sorry i’m doing this i really need help with math and i’m writing this but i think the answer is g=11

4 0

3 years ago

Knitting a scarf. On average she can knit 2 mm in 35 minutes. Express this as a rate in mm/min​

Knitting a scarf. On average she can knit 2 mm in 35 minutes. Express this as a rate in mm/min