The print shop charges $1. 10 per square foot for banners of any shape and size. What is the approximate cost of the banner before tax? $41. 95 $46. 14 $83. 90 $92. 30.

Answer:

1.) 60

2.) 36

3.) -9

4.) 74

5.) -36

6.) [tex]\frac{2}{6} =\frac{1}{3}[/tex]

Step-by-step explanation:

1.) 2×3[7+(6÷2)]

2×3[7+3]

2×3×10

2×30

60

2.) 3[-3(2-8)-6]

3[-3(-6)-6]

3[18-6]

3×12

36

3.) 3×3[2-(9÷3)]

3×3[2-3]

3×3[-1]

3×3×-1

9×-1

-9

4.) 2[-5(4-12)-3]

2[-5(-8)-3]

2[40-3]

2×37

74

5.) [(3×3)-(30÷6)]+(-27)-13

[9-5]+(-27)-13

4-27-13

4-40

-36

6.) 2÷[(4÷2)+(32÷8)]

2÷[2+4]

2÷6

[tex]\frac{2}{6} =\frac{1}{3}[/tex]

Hope this helps!

Answer:

-5

Step-by-step explanation:

negative times negative is positive so squared can be negative or positive

Answer:

x = -5, x = 5

Step-by-step explanation:

Tangents to a circle drawn to a point outside the circle are equal in length.  Therefore, AB = AC.

Given:

                                              AB = AC

                                      ⇒ x² + 8 = 33

Subtract 8 from both sides:   x² = 25

Square root both sides:          x = ±5

Therefore,                                x = -5, x = 5

Answer:

Step-by-step explanation:

1)5^1/3*3 = 5^3/3 = 5

2) 5+x=2 =>x=2-5 => x=-3

3)2*1/2^2*4^4 => 2*1/4*256 => 0,5*256 = 128

4) Rule!Any number to the power 0 is equal to 1; and 1 to any power will always give 1. => 1^5 =1.

5)x^(-6)-(-4) => x^-2 ; x^(-2)+3=x

y^5-8=y^-3

=>z^3/ x^2*y^3
z^0=1

x/y^3

Modeling of a situation is getting its properties held in another system, usually mathematical. The equation for given situation is [tex]C = 2T + 5[/tex]

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case the number of t-shirts brought is not known, so let we take it as T

Since each t-shirt costs $2, thus, T t-shirts will cost: T × $2

Since, cost of using the service of the t-shirt company is $5 flat rate, thus,

Total cost for purchasing T t-shirts = T × $2 + $5

Let total cost be denoted by C, then:

[tex]C = 2T + 5[/tex]

(we usually  don't write multiplication sign usually, and write the quantities close to each other, denoting that they're in multiplication.)

(we usually don't write symbols like $ etc in equations. It is known from context like what type of currency is in discussion(if multiple currency, then we can do some modification to variable symbols).

Thus,

The equation for given situation is [tex]C = 2T + 5[/tex]

Table for it, using values of T from 1 to 5, we get:

[tex]\begin{array}{cc}T&C\text{(In dollars)}\\1&7\\2&9\\3&11\\4&13\\5&15\end{array}[/tex]

Plotting them in graph, we get the following attached graph.

Learn more about forming equations here;

https://brainly.com/question/12279939

Answer:

c. It would decrease

Step-by-step explanation:

When you increase the sample size, you decrease the standard/marginal error since you have a bigger representation of the population. However, this would take time and money to collect data for these big samples.

Answer:

28 degree difference

Step-by-step explanation:

-70-(-42) = -28

Answer:

The answer I believe is 10? Sorry if i am wrong

Step-by-step explanation:

in algebra, if there is a variable without a coefficient, then it just means 1. So a = 1, and 10 ÷ 1 = 10

Answer:

All in order:

YES

NO

NO

NO

Step-by-step explanation:

-54 ≤ 7(-7) - 5 YES because the sign says greater than or equal to (in the image)

-54 ≤ 7(5) - 5 NO

-54 ≤ 7(7) - 5 NO

-54 ≤ 7(-9) - 5 NO

Answer:

C = ( -7 , 6 )

R = 2

SO ...

The ANSWER is "A"

Answer:

Step-by-step explanation:

An object with a uniform circular cross section is generally modeled by a cylinder.

__

The formula for the volume of a cylinder is ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(1.5 ft)²(13 ft) ≈ 91.9 ft³

The volume of the tree trunk is about 91.9 ft³.

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?

— — — — — — — — — —

— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)

where,

– This formula is used when the radius of the base is given.

Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.

– Using the formula above, substitute the givens in the formula then solve.

Hence, the volume is 91.85 ft³.

_______________∞_______________

Answer: They sold each book at a price of 143.75 birr

Step-by-step explanation:

1500 divided by 12 is 125 and 15% of 125 is 18.75 so add it together and you got your answer. hope this helps <3

Answer:

C. 1725

Step-by-step explanation:

We can find the selling price by adding the cost price and the profit made

As the merchant has made 15% of profit on 1500 birr . So ,

15% of 1500 is 225 birr

[tex] \frac{x}{1500} \times 100 = 15 \: percent[/tex]

Adding the cost price and profit made we get ,

Selling Price = 1500 birr + 225 birr

Sp = 1725 birr

Answer:

1250 (corrected to 3 significant figures)

Step-by-step explanation:

the formula to calculate circumference is 2πr, where r is the radius.

hence, we can form the equation

2πr = 7850

r ≈ 1249.3663

= 1250 (corrected to 3 significant figures)

Its D i hope that helped

Answer:

-2k

Step-by-step explanation:

Answer: You combine like terms

2k^3-2k^4

Answer:

you times that by 7 I think

Step-by-step explanation:

Answer:

3.5 miles

Step-by-step explanation:

i think, if its wrong- s o r r y ;v;

Answer:

x-Intercept: 600,0

y-intercept:0,450

Step-by-step explanation:

Got it right on the test

Answer:

The x intercept is 600, 0. The y intercept is 0, 450.

Step-by-step explanation:

I got it correct on edge.

Answer:

163

Step-by-step explanation:

What's great about these problems is that when there is a line that is divided by another line, causing 2 angles, the 2 angles must equal 180 degrees.  That means the 163-degree angle + either the x or the z angle would equal 180 degrees.  The second best part about this is that if it is separated how yours is, with 2 lines, opposite angles are equal.  That means that angle x and angle z are equal, as well as the 163 angle is equal to the y angle.  Hope this helps with more than just this problem!

Answer:

[tex]\frac{i\times d}{100}[/tex]

Step-by-step explanation:

To calculate the discount, we multiply the initial amount (i) to the discount (d) and then divide that answer by 100. After we find that answer we then subtract it from the initial price.

For example:

A computer costs $695 and it has a 7% discount. Calculate the total costs of the computer after the 7% discount.

[tex]\frac{695\times7}{100} =695\times7=4865\div100=48.65[/tex]
[tex]695-48.65=646.35[/tex]
[tex]c=646.35[/tex]

The computer (after a 7% discount) costs "$646.35 dollars."

Hope this helps.

Answer:

One of the answers could be linear

Step-by-step explanation:A linear graph is always a straight line, and this looks to demonstrate that. Sorry if this is incorrect, just my understanding.

30 maybe, not to sure, sorry if its wrong

Answer:

Step-by-step explanation:

53. A=6.

54.we use the Pythagorean theorem =>

8^2=(8:2)^2+x^2

64=16+x^2
x^2=64-16=48

=> A=sqrt(48)= 4*sqrt(3).

You can also visit this site,I think it will be helpful for you to understand the solution better: https://www.wikihow.com/Calculate-the-Apothem-of-a-Hexagon

Answer:

  1 9/11 T/h

Step-by-step explanation:

You want the unit rate in metric tons per hour of removal of 2 1/2 metric tons in 1 3/8 hours.

The unit rate in tons per hour is found by dividing tons by hours:

  (2 1/2 T)/(1 3/8 h) = (5/2 T)/(11/8 h) = (20/8 T)/(11/8 h) = 20/11 T/h

 = 1 9/11 T/h

The unit rate is 20/11 metric tons per hour, or 1 9/11 metric tons per hour.

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Answer: The slope of the graph is -2

Step-by-step explanation:

Take any two points from the graph, and do rise/run

For example, we take (1,3) and (2,1)

Apply rise/run... rise: 2, run: -1

2/-1 = -2

m = -2

For the next question, the slope is 4

And the last question, the slope is 1 1/2

Hope this helped!

Answer:

AC = 18

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2 AC = 12[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 12 × 3 = 36 ( divide both sides by 2 )

AC = 18

∠ACB=90° ⇒ ΔABC is right triangle

AB is hypotenuse, ∠BAC=30° ⇒

[tex]CB=\dfrac{AB}{2}=\dfrac{12\sqrt{3} }{2} =6\sqrt{3}[/tex]

Let's use Pythagorean theorem

[tex]AB^2=BC^2+AC^2\\AC^2=AB^2-BC^2\\AC^2=(12\sqrt{3})^2-(6\sqrt{3} )^2\\AC=\sqrt{(12\sqrt{3}-6\sqrt{3})(12\sqrt{3}+6\sqrt{3}))} \\AC=\sqrt{6\sqrt{3}\times18\sqrt{3} } \\AC=\sqrt{3\times6\times18} \\AC=18[/tex]

Answer:

Step-by-step explanation:

This is a sum of the first n terms of an AP:

The true sum is between 92 and 145:

Let n = 14

Let n = 15

Let n = 16