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3 years ago

Solve for N 2/9n= −6

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

n=-27

Step-by-step explanation:

Step-By-Step on how to solve it is in the image shown below.

Hope this helps! :)

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60 people are buying cars today. 36 are buying silver cars. What percent are buying non-silver cars?

Alla [95]

Answer:

40%

Step-by-step explanation:

5 0

3 years ago

Factor each by using the GCF.<br> a) 36x+81 b) 24a+36

nydimaria [60]

The Greatest Common Factor (GCF) is very important when factoring. Later on, you will forget to pull out a GCF and the answer will be wrong. Always look for a GCF before doing anything.

Let's try factoring these:

a.) $36x+81$

The greatest common factor of this expression is 9, because it is the maximum number that both can go into. Let's solve.

$9(4x+9)$

This is the simplest this expression can get. This would be your final answer. Let's try the other one.

b.) $24a+36$

The GCF of this one is 12. Let's simplify it.

$12(2a+3)$

This is also the simplest you can get it. You can do nothing further. So, your final answers are:

a.) $9(4x+9)$

b.) $12(2a+3)$

5 0

4 years ago

Read 2 more answers

How to do this question plz answer me step by step plzz plz plz plz

Step2247 [10]

Answer: 25.6

First, notice that there is 1 adult and 2 children.

A normal adult ticket costs 24. But it's 1/3 off, so 24 * 1/3 = 8 off. That means with the Railcard, it only costs 24 - 8 = 16.

Next, one child ticket costs 12. But it's 60% = 3/5 off, so 12 * 3/5 = 7.2 off. That means with the Railcard, it only costs 12 - 7.2 = 4.8.

Remember there are 2 children, so we multiply by 2 to get 4.8 * 2 = 9.6 for the children.

Final answer: 1 adult + 2 children = 16 + 9.6 = 25.6.

Hope that helped,

-sirswagger21

8 0

3 years ago

Read 2 more answers

Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).

Oduvanchick [21]

Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).

1. Find

$\overrightarrow{DE}=(1-1,-5-1,2-1)=(0,-6,1),\\ \\\overrightarrow{DF}=(-2-1,2-1,7-1)=(-3,1,6).$

Then

$\cos \angle D=\dfrac{0\cdot (-3)+(-6)\cdot 1+1\cdot 6}{\sqrt{0^2+(-6)^2+1^2}\cdot \sqrt{(-3)^2+1^2+6^2}}=\dfrac{0}{\sqrt{37} \cdot \sqrt{46} }=0.$

2. Find

$\overrightarrow{ED}=(1-1,1-(-5),1-2)=(0,6,-1),\\ \\\overrightarrow{EF}=(-2-1,2-(-5),7-2)=(-3,7,5).$

Then

$\cos \angle E=\dfrac{0\cdot (-2)+6\cdot 7+(-1)\cdot 5}{\sqrt{0^2+6^2+(-1)^2}\cdot \sqrt{(-3)^2+7^2+5^2}}=\dfrac{37}{\sqrt{37} \cdot \sqrt{83} }=\sqrt{\dfrac{37}{83}}.$

3. Find

$\overrightarrow{FE}=(1-(-2),-5-2,2-7)=(3,-7,-5),\\ \\\overrightarrow{FD}=(1-(-2),1-2,1-7)=(3,-1,-6).$

Then

$\cos \angle F=\dfrac{3\cdot 3+(-7)\cdot (-1)+(-5)\cdot (-6)}{\sqrt{3^2+(-7)^2+(-5)^2}\cdot \sqrt{3^2+(-1)^2+(-6)^2}}=\dfrac{46}{\sqrt{83} \cdot \sqrt{46} }=\sqrt{\dfrac{46}{83}}.$

$\angle E=\arccos0=\dfrac{\pi}{2},\\ \\
\angle D=\arccos\letf(\sqrt{\dfrac{37}{83}}\right)\approx 0.27\pi,\\ \\
\angle F=\arccos\letf(\sqrt{\dfrac{46}{83}}\right)\approx 0.23\pi.$

3 0

3 years ago

PA. SALES TAX IS CHARGED AT THE RATE OF 6%. FIND THE TAX AND THE TOTAL PRICE YOU WOULD PAY FOR AN $860 STEREO.

Stolb23 [73]

I think 911.60 is the answer

5 0

4 years ago

Read 2 more answers