Frog and Toad decided to meet. Their houses are 120 ft apart. They start hopping towards each other at a speed of 2 ft/min and 3 ft/min, respectively. How long it will take until they are going to be 5 feet apart? PLS HELP ME ASAP

Answer:

[tex]a_{n}[/tex] = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

Answer:

An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.

Step-by-step explanation:

Answer:

$13,400

Step-by-step explanation:

Given the following data;

Tuition and book per year = $5,500

Transportation per month = $100

In 2 years;

Total tuition and book = $5,500 * 2 = $11,000

Total tuition and book cost = $11,000

Transportation;

There are 12 months in a year, in 2 years = 12 * 2 = 24 months.

Thus, total on transportation = $100 * 24 = $2,400

Total transportation cost = $2,400

[tex] Overall \; cost = Total \; tuition \; and \; book \; cost + Total \; transportation \; cost[/tex]

Substituting into the above equation, we have;

Overall cost = $11,000 + $2,400

Overall cost = $13,400.

Hence, Lakita's education will cost her $13,400 in total.

Answer: 4 4/7

Step-by-step explanation:

Answer:

61 or 33

Step-by-step explanation:

47+14=61 or 47-14 =33

Answer:

I can help

Step-by-step explanation:

Quarters in help is 61 but in money its $16. Hope this helps.

Answer:

A. They are equidistant from origin.

The correct statement for the relationship between points N and N' is,

⇒ They are equidistant from origin.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'.

Now,

Since, Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'.

Hence, We know that;

After rotation of 90° clockwise around the origin the shape are equidistance from the origin.

Thus, The relationship between points N and N' is,

⇒ They are equidistant from origin.

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Answer:

9is an irrationalnfunction which would be 0=y^2+x^2 while 10 is y=-x^2+3

Answer:?

Step-by-step explanation: did u get the answer

Answer:

Step-by-step Peppers cost $4 per pound

explanation:

Answer:

Step-by-step explanation:

Using the area model and standard algorithm, we have:

                332   (tenths)

          ×       21  

                332

             664    

             6972   tenths = 697.2

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

33.2 × 21 =    30     ×    1      =        30    

Answer:

0.0000000000783

Step-by-step explanation:

Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.

Answer:

B

Step-by-step explanation:

if it is a vertical line, x=1 for all values of y

Answer:it’s B i just took this

Step-by-step explanation:

Answer:

X=8

Step-by-step explanation:

17x-4=12+15x

add 4 on both sides to get

17x=16+15x

now subtract 15x on both sides to get

2x=16

divide by 2 on both sides

you get

x=8

Answer:

im not too sure

Step-by-step explanation:

Step-by-step explanation:

360÷60=6 one angle

a=18

b=36

c=84

d=108

e=114

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

------------------------

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

Answer:

Step-by-step explanation:

Each movie is $12.00. 10% off of 12% is 12-1.2 = 10.8

The final amount spent is 5%, that means we can multiply the end amount spend by 1.05

The maximum Stan can spend is $95

[tex](10.8m)*1.05\leq 95\\(10.8m)\leq 90.4762\\m \leq \frac{90.4762}{10.8}\\m\leq 8.3774[/tex]

Now, you can't buy 0.3 of a movie, so the most Stan can buy is 8 movies

Answer:

Two roots are:

[tex]x = \frac{ 5 + \sqrt{19}}{6}\\x = \frac{ 5 - \sqrt{19}}{6}[/tex]

Step-by-step explanation:

[tex]6x^2 = 10x - 1\\6x^2 - 10x + 1 = 0\\\\x = \frac{ 10 + \sqrt{10^2-4*6}}{2*6}\\x = \frac{ 10 + \sqrt{76}}{12}\\x = \frac{ 5 + \sqrt{19}}{6}\\x = \frac{ 5 - \sqrt{19}}{6}[/tex]

The equation of line is given by y = ( 1/6 )x + 5 , where the slope of the line m is = 1/6

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( 1/6 )x + 5   be equation (1)

Now , it is of the form y = mx + b where m is the slope and b is the y-intercept

So , the slope of the line A is given by

Slope m = ( 1/6 )

Now , the line is plotted in the graph below

Hence , the equation of line is y = ( 1/6 )x + 5

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The line with the equation y = 1/6x + 5 is graphed in the image attached below.

Line represents the linear relationship in the coordinates forming a line.

To plot the given equation:

[tex]y=\frac{1}{6}x+5[/tex]............................................1

Take points which satisfies the given equation,

Let x=0,

from equation 1

y=0+5

y=5

So, plot A=(0,5) on the number line.

Similarly, at x=6 from equation 1

y=6/6+5

y=6

Then, plot B=(6,6) on the number line.

Similarly, at x=-6 from equation 1

y=-6/6+5

y=4

Then, plot C=(-6,4) on the number line.

Thus, draw a line joining this points and extrapolate it from both the ends as shown in the image attached below.

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Answer:

[tex]x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^{2}y^{2}} = (x^{2}y^{2})^{\frac{1}{3}}\\\\\\[/tex]

          = [tex]=(x^2)^{\frac{1}{3}}y(^{2})^{\frac{1}{3}}\\\\\\= x^{2*{\frac{1}{3}}}y^{2*{\frac{1}{3}}}\\\\=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

Answer:

y > 1/2x - 1

First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).

Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.

Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.

Explanation:

Convert standard form (Ax + By = C) by isolating y from the rest of the equation.

Ax + By = C → y = -Ax/B + C/B → y = mx + b.

Given a standard form equation in inequality form,

x - 2y < 2.

Set it to slope-intercept as an inequality to find the slope and y-intercept.

When negating (making opposite) a variable, you flip the inequality.

x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → y > 1/2x - 1.

Answer:

x=(4,0)

y=(0,-6)

Step-by-step explanation:

Answer:

-2

you take two away every time

Answer:

18 bags of coffee

Step-by-step explanation:

12 divided into 2/3 is the same as   12 multiplied by 3/2

12 x (3/2) = 18

18 bags x( 2/3) pounds of coffee  each  = 12 pounds of coffee

Step-by-step explanation:

This is answer. I'm sri lankan. But our a/l exam have this mathematics questions

The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).

Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:

x + 3 = 0

x = -3

p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6

Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.

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Answer:

x = 8.5

Step-by-step explanation:

4x-5=9+20   (evaluate right side)

4x - 5 = 29   (add 5 to both sides)

4x = 29 + 5

4x = 34   (divide both sides by 4)

x = 34/4

x = 8.5

Answer:

Today : Saturday, 07 November 2020

Hour: 14.28 WIB (Indonesia)

_______________________________

4x - 5 = 9 + 20

= 4x - 5 = 29

= 4x = 29 + 5

= 4x = 34

= x = 34/4

= x = 17/2

= x = 8 1/2

Answer:

The difference between the angle measure is 152 degrees

Step-by-step explanation:

Supplementary angles are angles that add up to 180

So if one angle is x in this case, the other will be 14x

Adding both ;

x + 14x = 180

15x = 180

x = 180/15

x = 12

The other angle is 14 * 12 = 168

The difference between the two will be;

168-12 = 156

Answer:

if x is the amount =100%

then to decrease the amount by 37% =(100-37)% = 63% of x =x*63/100 =x*0.63

multiply the amount by 0.63

Step-by-step explanation:

Answer:

0.63

Step-by-step explanation:

if x is the amount=100% then to decrease by 37% multiply by 0.63

Answer:

y=13/16 minus 11x/16

I hope this helps :-)

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating value placed after the decimal point.

let

x = 1.3333... → (1) ( multiply both sides by 10 )

10x = 13.3333... → (2)

Subtract (1) from (2), eliminating the repeating decimal

9x = 12 ( divide both sides by 9 )

x = [tex]\frac{12}{9}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

The measurement of largest angle is 83°

Step-by-step explanation:

Given angles are:

(2x+1)° , (x+15)° and x°

The sum of internal angles of a triangle is 180°

We will use this sum to find the value of x first

[tex](2x+1)+(x+15)+x = 180\\2x+1+x+15+x = 180\\4x+16 = 180\\4x = 180-16\\4x = 164\\\frac{4x}{4} = \frac{164}{4}\\x = 41[/tex]

Now the measurement of angles are:

x = 41

[tex]2x+1 = 2(41)+1 = 82+1 =83\\x+15 = 41+15 = 56[/tex]

Hence,

The measurement of largest angle is 83°