7. How much would it cost to buy 10 pens from the school store?

8. How much will it cost for 10 pencils and one notebook?​

Answer:

Option A

Step-by-step explanation:

   We know that the "3x ? 2" line must be positive, so it cannot be C or D. The other line is negative, so the "2x ? 5" line must be -2x. This gets rid of option B, leaving us with our answer of A!

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

[tex] \cos( \theta) = \frac{5}{8} \\ {8}^{2} = {5}^{2} + {opp}^{2} \\ {opp}^{2} = 64 - 25 = 39 \\ opp = \sqrt{39} \\ \sin(\theta) = \frac{\sqrt{39}}{8} \\ \tan(\theta) = \frac{ \sqrt{39} }{5} \\ \cot(\theta) = \frac{1}{\tan(\theta)} = \frac{1}{\frac{ \sqrt{39} }{5}} \\ \cot(\theta) = \frac{5}{ \sqrt{39} } \\ \csc( \theta) = \frac{1}{\sin(\theta)} = \frac{1}{\frac{\sqrt{39}}{8}} \\ \csc( \theta) = \frac{8}{ \sqrt{39} } \\ \sec( \theta) = \frac{1}{\cos( \theta) } = \frac{1}{ \frac{5}{8} } \\ \sec( \theta) = \frac{8}{5} [/tex]

For given angle [tex]\theta[/tex],

[tex]\bold{cot(\theta)=\frac{5}{6.24}}\\\\ \bold{cos(\theta)=\frac{5}{8}}\\\\ \bold{sec(\theta)=\frac{8}{5}}[/tex]

In a right triangle, for angle Ф

cos(Ф) = adjacent side of angle Ф / hypotenuse

In a right triangle, for angle Ф

cos(Ф) = opposite side of angle Ф / hypotenuse

In a right triangle for an angle Ф,

sec(Ф) = 1 / (cos(Ф))

In a right triangle for an angle Ф,

cot(Ф) = cos(Ф) / sin(Ф)

For a right triangle,

[tex]c^2=a^2+b^2[/tex]

where 'c' represents the hypotenuse

'a' and 'b' be the other two sides of the right triangle

For given example,

The adjacent side of [tex]\theta[/tex] is 5 and the hypotenuse is 5.

[tex]\bold {cos(\theta)=\frac{5}{8}}[/tex]

We find the opposite side of the angle [tex]\theta[/tex] using Pythagoras theorem.

Let 'x' be the opposite side of the angle [tex]\theta[/tex] .

By Pythagoras theorem,

[tex]\Rightarrow 8^{2} =x^{2} + 5^{2}\\\\ \Rightarrow x^{2} =64-25\\\\ \Rightarrow x=\sqrt{39}\\\\ \Rightarrow x=6.24[/tex]

So, the opposite side of the angle [tex]\theta[/tex]  is 6.24 units.

[tex]sin(\theta)=\frac{6.24}{8}[/tex]

So, the value of [tex]cot(\theta)[/tex] would be,

[tex]\Rightarrow cot(\theta)=\frac{cos(\theta)}{sin(\theta)}\\\\\Rightarrow cot(\theta)=\frac{\frac{5}{8} }{\frac{6.24}{8} } \\\\\Rightarrow \bold{cot(\theta)=\frac{5}{6.24}}[/tex]

Now we find the value of [tex]\bold{sec(\theta)}[/tex]

[tex]\Rightarrow sec(\theta)=\frac{1}{cos(\theta)}\\\\\Rightarrow sec(\theta)=\frac{1}{\frac{5}{8} }\\\\ \Rightarrow \bold{sec(\theta)=\frac{8}{5}}[/tex]

Therefore, for given angle [tex]\theta[/tex],

[tex]\bold{cot(\theta)=\frac{5}{6.24}}\\\\ \bold{cos(\theta)=\frac{5}{8}}\\\\ \bold{sec(\theta)=\frac{8}{5}}[/tex]

Learn more about cotθ, cosθ, and secθ here:

https://brainly.com/question/3998961

#SPJ2

Answer: Angel observes a marble travel along a horizontal path at a constant rate. The marble travel 2/3 of the length- of the path in 50 seconds. At that rate, how many seconds does it take the object to travel the full length?                                

Step-by-step explanation: First, reason down from 2/3 to 1/3. Enter all values as fractions (proper or improper) or whole numbers. You will need to  convert mixed numbers to improper fractions.

Answer:75

Step-by-step explanation:55+20=75

Answer: mathmatical estimate 46 million

Step-by-step explanation:

456million first guess

Answer:

1.  -2

2.  -10

3.  -30

4.  -2

5  -21

6.  -10

7.  -1

8.  -4

9.  -170

10.  -15

Step-by-step explanation:

About 153 Winx. Because 5000 divided by 32.6 is 153.374233129.

Answer:

1) (-A+B)=(B-A) is true

Step-by-step explanation:

I am guessing you are looking for which statement is true. The answer is 1, (-A+B)=(B-A), as the others are incorrect.

2) A x 0 = 0, not 1

3) - (-A) = A, not - A

4) A/B will not be the same as B/A unless the values of A and B are 1

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

There are 4 sixteenths in one-fourth

Step-by-step explanation:

how many sixteenths are there in 1\4?

There are 4 sixteenths in one-fourth

1/4 : 1/16 =

1/4 * 16 =

4

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

A horizontal line has the equation ...

  y = constant

The constant can be found by counting grid squares or reading the label on the y-axis where the line crosses.

The equation of the blue line is y = 2.

Answer:

3q+4+9=-14

(Simplify)

3q+13=-14

(Subtraction property of equality)

3q=-27

(Multiplication property of equality)

q=-9

Hope This Helps!!!

Answer:

[tex]q =( - 9)[/tex]

Step-by-step explanation:

Hey there,

[tex]3q + 4 + 9 = - 14[/tex]

[tex]3q + 13 = - 14[/tex]

[tex]3q = - 14 - 13[/tex]

[tex]3q = - 27[/tex]

[tex] \frac{3q}{ 3 } = \frac{ - 27}{3} [/tex]

[tex]q = - 9[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

the awnser is 777 do length x width

Answer:

X || Z

Step-by-step explanation:

Step-by-step explanation:

well, what does your own logic tell you ? just think logically.

of course it is X || Z.

what else could it be ?

this is similar to questions like

if A > B, and B > C, then what does that say about A and C ?

right, A > C.

same thing for A=B, B=C, then A=C.

but it does not work with every relationship. so, be careful and just use basic logic - but that you will have to use.

Answer:

Step-by-step explanation:

We have to do 33.15 / 15 to find how much is in each.

We change 33.15 into a fraction

We get 33 3/20

We do 33 3/20 / 15 = 33 3/20 * 1/15 = 663/20 * 1/15 = 663/300 = 2 63/300

Therefore, 2 63/300 ounces of granola is in a serving.

Answer:

about a 5% chance

Step-by-step explanation:

That is, there is about a 5% chance that the third strike comes on the seventh well drilled.

Answer:

24.04 cm

Step-by-step explanation:

each headband uses 4.95cm and each bracelet uses 4.24cm.

4 headbands * 4.95 cm = 19.8cm

1 bracelet * 4.24 cm = 4.24 cm

19.8 cm + 4.24 cm = 24.04 cm

Answer:

$7.20

Reasoning:

[tex]\frac{1}{2} * 2=1[/tex]

[tex]3.60*2=7.20[/tex]

Using the logistic equation, it is found that:

[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]

The logistic equation for a population is given by:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

[tex]A = \frac{K - P(0)}{P(0)}[/tex]

In which:

In this problem:

Then:

[tex]A = \frac{500000 - 800}{800} = 624[/tex]

[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]

The time until 100,000 people are infected is t for which P(t) = 100000, hence:

[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]

[tex]100000 = \frac{500000}{1 + 624e^{-0.4t}}[/tex]

[tex]0.1 = \frac{1}{1 + 624e^{-0.4t}}[/tex]

[tex]0.1 + 62.4e^{-0.4t} = 1[/tex]

[tex]62.4e^{-0.4t} = 0.9[/tex]

[tex]e^{-0.4t} = \frac{0.9}{62.4}[/tex]

[tex]\ln{e^{-0.4t}} = \ln{\frac{0.9}{62.4}}[/tex]

[tex]-0.4t = \ln{\frac{0.9}{62.4}}[/tex]

[tex]t = -\frac{\ln{\frac{0.9}{62.4}}}{0.4}[/tex]

[tex]t = 10.6[/tex]

It will take 10 days before 100,000 people are infected.

A similar problem is given at https://brainly.com/question/25609786

anser is

Step-by-step explanation:

618 is the answer

Answer: No

Step-by-step explanation:

There's no noticeable pattern.

Explanation:

On the third line is where the student went from -12-3 to -9. This is not correct. Instead, it should be -12-3 turning into -15.

Think of it like being 12 feet under water (the number -12) and then moving 3 more feet deeper under water. You'll move down 3 to get to -15 to represent being 15 feet under water. Use a vertical number line if needed.

You can also compute -12-3 like 12+3 = 15, then just make everything negative. So -12-3 = -15

Answer:

x = -19

Step-by-step explanation:

6x + 36 = 4x - 2

6x + 36 - (4x - 2) = 4x - 2 - (4x - 2)

2x + 38 = 0

2x = -38

x = -19

Answer:

Step-by-step explanation:

Speed of rabbit per second = 35 ft

Ivan:

Speed in 5 seconds = 90 ft

Speed in 1 second = 90 ÷ 5 = 18 ft

No, Ivan is not faster than rabbit.

Answer:

$97.75

Step-by-step explanation:

115 times 0.85

Answer:

67.715

Step-by-step explanation:

(68 - 95 - 99.7%)

Answer:

3/4 / 1/2

3/4 * 2/1

6/4

1 2/4

1 1/2 or 1.5