Nathan buys 8 bottles of iced tea at the grocery store. He has coupons for $0.35 off the regular price of each bottle. After using the coupons, the total cost of the drinks is $7.20.




Which equation can be used to find the regular price, p, of each bottle of iced tea?

For the given triangle the statement that is true for length x is -

x < 9

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

The length of 1 side is = 5 units

The length of second side is = 4 units

A key geometrical concept that connects the lengths of a triangle's sides is the triangle inequality theorem.

It stipulates that the length of the remaining side must be greater than the sum of the lengths of any two sides of a triangle.

The triangle inequality theorem can be written out as follows if a, b, and c are the lengths of a triangle's sides:

b + c > a

a + c > b

b + a > c

Since the sum for the given triangle is 5 + 4 = 9

So, the third side must be less than 9.

Therefore, the inequality is x < 9.

To learn more about triangles from the given link

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Answer:

14

Step-by-step explanation:

The nearest time period for Zachary to reach the amount is 14 years.

Compound interest is the interest on a deposit or loan calculated based on the initial principle, and the collective interest from previous periods.

For the given situation,

Principle, [tex]p=\$700[/tex]

Interest rate, [tex]r=4.9\%[/tex][tex]=0.049[/tex]

Amount, [tex]a=\$1360[/tex]

Compounded continuously, [tex]n=1[/tex]

We have to find the time period, [tex]t[/tex]

The amount formula of compound interest, [tex]a=p(1+\frac{r}{n} )^{nt}[/tex]

On substituting the values,

[tex]1360=700(1+\frac{0.049}{1} )^{1t}[/tex]

Divide by [tex]700[/tex] on both sides,

⇒[tex]\frac{1360}{700}=\frac{700}{700} (1+0.049 )^{t}[/tex]

⇒[tex]1.94=(1.049)^{t}[/tex]

Taking log on both sides,

⇒㏒[tex]1.94[/tex]=[tex]t[/tex]㏒[tex]1.049[/tex]

⇒[tex]0.28=0.020t[/tex]

Divide by [tex]0.020[/tex] on both sides,

⇒[tex]\frac{0.28}{0.020}=t[/tex]

⇒[tex]t=14[/tex]

Hence, the time period is 14 years.

Learn more about compound interest here

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Answer:

[tex]3tan(2x+15)=4\\or, \frac{tan2x+tan15}{1-tan2x.tan15} =\frac{4}{3}\\or, 3tan2x+3tan15=4-4tan2x.tan15 \\or, 3tan2x+4tan2x.tan15=4-3tan15\\or, tan2x(3+4tan15) = 4-3tan15\\or, tan2x = \frac{4-3tan15}{3+4tan15}\\or, 2x =tan^{-1}(\frac{4-3tan15}{3+4tan15})\\or, x = \frac{tan^{-1}(\frac{4-3tan15}{3+4tan15})}{2} = 19.06505118 (approximate)\\[/tex][tex]Note: tan30 = \frac{2tan15}{1-tan^{2}15}\\or, \frac{1}{\sqrt{3} } = \frac{2tan15}{1-tan^{2}15}\\or, 1-tan^{2}15 = 2\sqrt{3}tan15\\or, tan^{2}15+2\sqrt{3}tan15-1=0\\Solve~using~the~quadratic~formula~to~get~tan15^o=2-\sqrt{3}.[/tex]

Answer:

the fraction answer would be 6/10, simplified it would be 3/5

if the question is asking for the decimal than it would be 0.6

hope these are the answers you are looking for

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Answer:

x =-1/4

or

x -0.25

Step-by-step explanation:

Exact Form:

x = − 1/ 4

Decimal Form: x = − 0.25

Answer:

2 times became that's correct

Answer:

[tex]Total = \$7800[/tex]

Step-by-step explanation:

Given

[tex]Cost = \$32.50[/tex] per square yard

[tex]Length = 432.0ft[/tex]

[tex]Width = 5.0ft[/tex]

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

[tex]Area = Length * Width[/tex]

[tex]Area = 432.0ft * 5.0ft[/tex]

[tex]Area = 2160ft^2[/tex]

Convert to square yard

[tex]Area = \frac{2160yd^2}{9}[/tex]

[tex]Area = 240yd^2[/tex]

The cost is then calculated as:

[tex]Total= Area * Unit\ Cost[/tex]

[tex]Total = 240 * \$32.50[/tex]

[tex]Total = \$7800[/tex]

Answer:

Option B = 25.5 ft

Step-by-step explanation:

Circumference = 80 ft

C = 2πr

80 = 2 * (22/7) * r

80 = (44/ 7) *  r

So, Radius (r) = 80 * (7/44)

        = 12.72 Feet

--> Diameter = 2r = 2 * 12.72    

= 25.45 Feet

Therefore, Answer = Option B = 25.5 Feet (Round off)

Answer:

(−4,−2)

Step-by-step explanation:

hope this helps

Answer:

3/5

Step-by-step explanation:

Given

[tex]\frac{3}{500} \%[/tex]

Required

Represent as fraction

To do this, we simply multiply 3/500 by 100

[tex]\frac{3}{500} \% = \frac{3}{500} * 100[/tex]

[tex]\frac{3}{500} \% = \frac{3}{5}[/tex]

So, the fraction is 3/5

Answer:

D- Did you already answer it at the bottom?

Also, in order for someone to answer this, we would need an image showing the different line-thingys. (I forget what they are called)

Step-by-step explanation:

Answer:

B, C

Step-by-step explanation:Just did it on edg

Answer:

=−1/2

=3/2

Step-by-step explanation:

Answer:

x = -1/2

x = 3/2

Step-by-step explanation:

4x² - 4x = 3

Subtract 3.

4x² - 4x - 3 = 0

Factor by grouping.

(2x + 1)(2x - 3) = 0

2x + 1 = 0

2x - 3 = 0

x = -1/2

x = 3/2

good luck, i hope this helps :)

Answer:

120

Step-by-step explanation:

Above 44 years ----> 45 to 84.

44 - 64   range 70 are there

65 to 84 range 50 are there

Totally 70 + 50 = 120

 120 residents

Answer:

yes o can help you with it by the end of this

Answer:

Find BC

AC^2=AB^2+BC^2

20^2=16^2+BC^2

400=256+BC^2

BC=√(400-356)

BC=12

Use SOHCAHTOA

Sine A=12/20=3/5

COS A=16/20 =4/5

TAN A=12/16 =3/4

Answer:

78

Step-by-step explanation:

37-71

2538

37003-221

35303

Answer:

In two weeks she eats 28 pieces

Step-by-step explanation

Lets say she ate one per day, if its asking you how many you ate in two weeks, that would be 14 candies. But if she ate 2 per day all you have to do is add 14+14 to find out how many she ate in two weeks.

Answer:28 candies

Step-by-step explanation:

So Chrissy eats 2 each day and we need to find how many candies she eats in two weeks also in weeks there is 7 days plus another week would be 14 basically convert the 2 weeks into days (7+7).Now we need multiply since she eats 2 each day how many candies she eats in two weeks also in week so 2 x 14 =28

Therefore,she eats 28 candies in 2 weeks

Answer:0.8 feet

Step-by-step explanation:got it right

Answer:

3⁵

Step-by-step explanation:

Hope it helps you..........

Answer:

B. 4(3-y) is the answer

Answer:

It should be the third option.

Step-by-step explanation:

The second expression is 2(3x+1)

Just substitute 2 as x.

2(3(2) + 1)

2(6 + 1)

2(7)

14

Since both expressions are equal to 14, both expressions are equivalent.

Answer:

x+3x+90=180(sum of angle of triangle)

4x=180-90

x=90/4=22.5

m<T=3×22.5=67.5°

m<v=22.5°

Answer:

Step-by-step explanation:

By angle sum of triangle:

3x+x+90=180

x=22.5

Angle T = 3x=3(22.5)=67.5

Angle V = x = 22.5

Answer:

430.2857...

Step-by-step explanation:

Answer:

[tex]3.012[/tex] ÷ [tex]7[/tex] = 430.285

Answer:

(2,3,4,5,6,7)

6

Step-by-step explanation:

I thought I'm wrong ...

Answer:

(-1,5)

Step-by-step explanation:

Solve the following system:

2 y + x = 9 | (equation 1)

2 y + 3 x = 7 | (equation 2)  

Subtract equation 2 from equation 1:

( 2 y + x ) - ( 2 y + 3 x ) = 9 - 7

- 2 x = 2

x = - 1

Substitute into question 1:

2 y - 1 = 9

y = 5

Answer: x = -1 , y = 5

Answer:

x=15√2

Step-by-step explanation:

15²+15²=c²

225+225=c²

450=c²

√450=c

√9x25x2=c

√9x√25x√2=c

3x5x√2=c

15√2=c

(Or you could use the 45-45-90 rule for triangles to get the same thing).

Answer:

2x+6 or 2 ( 3x + 1 )

Step-by-step explanation: