Twice a number increased by 7 is 13. Find the number.​

Answer: The possible numbers of laps he will run today = 9

Step-by-step explanation:

Let [tex]n[/tex] = number of laps he will run today.

Given: Time taken for each lap = 5 minutes

Time taken for [tex]n[/tex] laps =[tex]5n[/tex]  minutes

If he runs at most 45 minutes, then

[tex]5n\leq45[/tex]

Divide both sides by 5 , we get

[tex]n\leq9[/tex]

Hence, the possible numbers of laps he will run today = 9

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:?

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

Answer:

Step-by-step Peppers cost $4 per pound

explanation:

Answer:

i) OC=a+b

ii) BA=a-b

iii)CA=-b

Step-by-step explanation:

i) because it is a parallelogram AC=OB and therefore AC=b

to find OC you do OA+AC which is a+b

OC=a+b

ii) to find BA you do BO+OA

BO=-b as it is the opposite direction

OA=a

so therefore BA=a-b

iii)CA is the opposite of AC which was b so CA=-b

Answer:

What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.

Either:

4(5+4) Or

2(10+8)

Step-by-step explanation:

Given:

Perimeter of a football field = 920 feet.

The width is 60 feet more than one-third of the length.

To find:

The dimensions of a football field.

Solution:

Let the length of the field be x.

Then, width = [tex]\dfrac{1}{3}x+60[/tex]

We know that,

[tex]Perimeter = 2( length + width)[/tex]

[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]

[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]

[tex]920 =\dfrac{8}{3}x+120[/tex]

Subtract both sides by 120.

[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]

[tex]800 =\dfrac{8}{3}x[/tex]

Multiply both sides by 3.

[tex]2400 =8x[/tex]

Divide both sides by 8.

[tex]300 =x[/tex]

Now,

[tex]Length = 300\text{ feet}[/tex]

[tex]Width=\dfrac{1}{3}(300)+60[/tex]

[tex]Width=100+60[/tex]

[tex]Width=160\text{ feet}[/tex]

Therefore, the length and width of the football field are 300 feet and 160 feet respectively.

Answer:

The answer is 144

Step-by-step explanation:

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

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:

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:

[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:

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:

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:

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°

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:

[tex]Number\ of\ Committee = 6914880\ ways[/tex]

Step-by-step explanation:

Given

Total:

[tex]Freshmen= 7\\ Sophomores = 8\\ Juniors = 8\\ Seniors = 8[/tex]

Selection

[tex]Freshmen= 2\\ Sophomores = 3\\ Juniors = 4\\ Seniors = 5[/tex]

Required

Determine the number of selection

To do this, we make use of combination formula:

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

For Freshmen, we have:

[tex]n = 7; r = 2[/tex]

[tex]^7C_2 = \frac{7!}{(7-2)!2!}[/tex]

[tex]^7C_2 = \frac{7!}{5!2!}[/tex]

[tex]^7C_2 = \frac{7 * 6 * 5!}{5! * 2 * 1}[/tex]

[tex]^7C_2 = \frac{7 * 6}{2}[/tex]

[tex]^7C_2 = \frac{42}{2}[/tex]

[tex]^7C_2 = 21[/tex]

For Sophomores, we have:

[tex]n =9;r=3[/tex]

[tex]^9C_3 = \frac{9!}{(9-3)!3!}[/tex]

[tex]^9C_3 = \frac{9!}{6!3!}[/tex]

[tex]^9C_3 = \frac{9 * 8 * 7 * 6!}{6! * 3 * 2 * 1}[/tex]

[tex]^9C_3 = \frac{9 * 8 * 7 }{6}[/tex]

[tex]^9C_3 = \frac{504}{6}[/tex]

[tex]^9C_3 = 84[/tex]

For Juniors, we have:

[tex]n = 8; r = 4[/tex]

[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]

[tex]^8C_4 = \frac{8!}{4!4!}[/tex]

[tex]^8C_4 = \frac{8 * 7 *6 * 5 * 4!}{4!*4 * 3 * 2 * 1}[/tex]

[tex]^8C_4 = \frac{8 * 7 *6 * 5}{4 * 3 * 2 * 1}[/tex]

[tex]^8C_4 = \frac{1680}{24}[/tex]

[tex]^8C_4 = 70[/tex]

For Seniors

[tex]n = 8; r = 5[/tex]

[tex]^8C_5 = \frac{8!}{(8-5)!5!}[/tex]

[tex]^8C_5 = \frac{8!}{3!5!}[/tex]

[tex]^8C_5 = \frac{8 * 7 *6 * 5!}{5! * 3 * 2 * 1}[/tex]

[tex]^8C_5 = \frac{8 * 7 *6}{3 * 2 * 1}[/tex]

[tex]^8C_5 = \frac{8 * 7}{1}[/tex]

[tex]^8C_5 = 56[/tex]

[tex]Number\ of\ Committee = Freshmen\ and\ Sophomores\ and\ Juniors\ and\ Seniors[/tex]

and implies *, so we have:

[tex]Number\ of\ Committee = 21 * 84 * 70 * 56[/tex]

[tex]Number\ of\ Committee = 6914880\ ways[/tex]

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:

24?

Step-by-step explanation:

If you add 20, 22, and 24, you get 66. I dont know if this helped.

Answer: 4 4/7

Step-by-step explanation:

The solution to the equation is y = 5.

Therefore, the correct answer is "O y = 5."

Option C.

Here,

Let's solve the equation step by step to find the value of y:

Combine the y terms on the left side of the equation:

y + 3y + 6 = 26

Combine the y terms on the left side of the equation:

4y + 6 = 26

Move the constant term to the other side of the equation:

4y = 26 - 6

Simplify the right side:

4y = 20

Now, solve for y by dividing both sides of the equation by 4:

y = 20 / 4

y = 5

So, the solution to the equation is y = 5.

Therefore, the correct answer is "O y = 5."

Option C.

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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]

Answer:

1.3 is pronounced 1 and 3 tenths so the fraction would be 1 3/10

Step-by-step explanation:

Hope this helps

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:

[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:

x=(4,0)

y=(0,-6)

Step-by-step explanation:

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:

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:

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