SYSTEN
REV.
REF. DWG. OR B/M
DATE:
Adrian and Jeremy are running around a track. It takes Adrian 15 minutes to
run around the track one time. It takes Jeremy 18 minutes to run around the
track once. How many minutes would it take for both boys to return to the
starting point at the same time?
How do I solve this?

Answer:

Step-by-step explanation:

20x+21=0

20x=-21

x=-1.05

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is A

Theoretical probability is defined as number of favorable outcomes out of Total possible outcomes.

That is :

[tex]\qquad \tt \dashrightarrow \: \dfrac{ \texttt{No. of favorable outcomes}}{ \texttt{Total number of possible outcomes}}[/tex]

By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

To find the definition of Theoretical probability.

Now, We know that;

Theoretical probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Hence, By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

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The lateral area of the pyramid is 15!

The statement that is true about the trinomial is the greatest common factor of the terms is 1.

A trinomial is a polynomial with three terms or monomials.

To know which statements about the polynomial are true, let's check each of the statements individual.

A.) The polynomial can be rewritten after factoring as [tex]10(3x^2+4xy+5y^2)[/tex]

Since the product of 5 and 10 is equal to 50, the third term is 51. Therefore, the statement about the polynomial is false.

B.) The polynomial can be rewritten as the product of a trinomial and xy.

All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.

C.) The greatest common factor of the polynomial is 51x2y2.

All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.

D.) The greatest common factor of the terms is 1.

As all the greatest common factors of the terms are completely different, therefore, the only common factor between the three terms will be 1.

Hence, the statement that is true about the trinomial is the greatest common factor of the terms is 1.

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Answer:

Step-by-step explanation:The statement that is true about the trinomial is the greatest common factor of the terms is 1.

What is a trinomial?

A trinomial is a polynomial with three terms or monomials.

To know which statements about the polynomial are true, let's check each of the statements individual.

A.) The polynomial can be rewritten after factoring as

Since the product of 5 and 10 is equal to 50, the third term is 51. Therefore, the statement about the polynomial is false.

B.) The polynomial can be rewritten as the product of a trinomial and xy.

All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.

C.) The greatest common factor of the polynomial is 51x2y2.

All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.

D.) The greatest common factor of the terms is 1.

As all the greatest common factors of the terms are completely different, therefore, the only common factor between the three terms will be 1.

Hence, the statement that is true about the trinomial is the greatest common factor of the terms is 1.

Answer:

in photo

Step-by-step explanation:

remember you still need to round it to 2 decimal places!!

Answer:

80 yds^2

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·2+9·2+9·2)=80

Note the rules

[tex]\\ \rm\Rrightarrow \dfrac{7^{12}7^9}{(7^6)^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7^{21}}{7^{18}}[/tex]

[tex]\\ \rm\Rrightarrow 7^3[/tex]

[tex]\\ \rm\Rrightarrow 729[/tex]

Answer:

3/4

Step-by-step explanation:

8x = 6

x = other number = 6/8 = 3/4

Answer:

[tex]\frac{-17}{6}[/tex]

Step-by-step explanation:

Let x be the number we want to find.

First we analyze the given informations

Info 1 : Two times the sum of four times a number plus six

We translate this statement (info 1) mathematically as :  2×(4x + 6)

Info 2 : five less than twice the same number

We translate this statement (info 2) mathematically as : 2x - 5

Info 1 is the same as Info 2 ⇔ 2×(4x + 6) = 2x - 5

2×(4x + 6) = 2x - 5

⇔ 8x + 12 = 2x - 5

⇔ 8x - 2x = -5 - 12

⇔ 6x = - 17

⇔ x = -17/6

[tex][text]\orange{ \rule{100pt}99999pt}[/tex]

The coordinates represent the numbers of plants of each type she can use and minimize the cost

Let x be the number of plants of one type.

y be the number of plants of the other type.

The optimal solutions will occur at one or more of the extreme points this is the vertices of the feasible region.

We have, The vertex of the feasible region that results in the minimum value of the cost function is (5,39).

That means buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.

Thus the coordinates represent the numbers of plants of each type she can use and minimize the cost.

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Answer:

Buying five of one type of plant and 39 of the other type of plant results in the lowest cost.

Step-by-step explanation:

Answer:

3/4

hope this helps. have a nice day :>

The square of the distance between two points is the sum of the squares of the difference between two coordinates. The value of n can be -13 or 3.

The distance between two points is given by the formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As it is given that the distance between points R and S is half the distance between points S and T.

[tex]2(RS) = ST[/tex]

Now, the distance between RS can be written as,

[tex]RS=\sqrt{[-6-(-2)]^2+[-5-(-5)]^2}\\RS = \sqrt{(-6+2)^2+(0)^2}\\RS = \sqrt{16}\\RS = \pm 4[/tex]

Further, we can write,

[tex]2(RS) = ST\\\\2(\pm 4) = \sqrt{[-2-(-2)]^2+[-5-n]^2}\\\\\pm 8 = \sqrt{(0)^2+(-5-n)^2}\\\\\pm 8^2=(-5-n)^2\\\\\pm8=(-5-n)\\\\[/tex]

When the value of 8 is positive,

[tex]+8+5=-n\\\\13=-n\\\\n=-13[/tex]

When the value of 8 is negative,

[tex]-8+5=-n\\\\-3=-n\\\\n=3[/tex]

Hence, the value of n can be -13 or 3.

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Answer:1/8, 2/5 3/4

Step-by-step explanation: you can turn each into decimal

0.125, 0.4 and 0.75

Answer:

[tex]\dfrac{1}{8} < \dfrac{2}{5} < \dfrac{3}{4}[/tex]

Step-by-step explanation:

[tex]\text{You can rewrite the fractions as}\\\\\dfrac 18=\dfrac{5}{40}\\\\\\\dfrac 25 = \dfrac{16}{40}\\\\\\\dfrac 34 = \dfrac{30}{40}\\\\\\\text{So,} ~\dfrac{5}{40} < \dfrac{16}{40} < \dfrac{30}{40}[/tex]

Answer:

I'm missing some information... but I'll answer the question regardless

x=the cost of the meal

1.2x≤$15

divide both sides by 1.2

x≤$12.5

In short, this means that Nicole can buy anything that costs $12.50 or less.

Step-by-step explanation:

maybe if i reply I'll get points or whatever

Answer:

m∠A = 139°

Step-by-step explanation:

First we must know that

Supplementary angles equal to 180 degree.

Since we know that supplementary angles equal to 180 degree we can solve now:

Putting m ∠A and m ∠ B together and put the = 180

( 7x - 15 ) + ( 2x - 3 ) = 180

Now solving for x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x  = 198

9x/9 = 198/9

x = 22

Hence,  Angle A will have a measure of 7x - 15 which means  7 ×  22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

139 + 31= 180

[RevyBreeze]

Supplementary angles have sum 180°

m<A

Step-by-step explanation:

I hope this helps, you take the substitution and put it in where the variable once was in parenthesis, then you let them interact as the vaiable onece was but now you can solve because you know the value.

Slope=1

Hope it helps.

Do comment if you have any query.

Answer: Slope=1

Step-by-step explanation:

Let's solve your system by substitution.

2x−2y=−4;2x+y=11

Rewrite equations:

2x+y=11;2x−2y=−4

Step: Solve2x+y=11for y:

2x+y=11

2x+y+−2x=11+−2x(Add -2x to both sides)

y=−2x+11

Step: Substitute−2x+11foryin2x−2y=−4:

2x−2y=−4

2x−2(−2x+11)=−4

6x−22=−4(Simplify both sides of the equation)

6x−22+22=−4+22(Add 22 to both sides)

6x=18

6x/6 = 18/6

(Divide both sides by 6)

x=3

Step: Substitute3forxiny=−2x+11:

y=−2x+11

y=(−2)(3)+11

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

Answer:

112.491 = one hundred twelve and four hundred ninety-one

thousandths.

Step-by-step explanation:

A country pledges to reduce its annual  CO₂ emissions by 5% per year, the maximum allowable emissions in the year 2029 is,  4245.89 Mt

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

A country pledges to reduce its annual CO₂ emissions by 5% per year

The emissions in 2022 are 6,080 Mt

The maximum allowable emissions in the year 2029 = ?

In 2022   CO₂ emission  = 6,080 Mt

5% reduces next year

So, In 2023

CO₂ emission  =  6080(1 - 0.05)

In 2024

CO₂ emission  =  6080(1 - 0.05)(1 - 0.05)

So after 7 years in 2029

CO₂ emission  =  6080(1 - 0.05)⁷

                        =  4245.89

Hence, the maximum permissible emission is  4245.89 Mt

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Answer:

1.0625

Step-by-step explanation:

3.4 divided by   3.2  =  1.0625       Did you enter your Q and A correctly ?

Answer:

they are 13 points away from eachother

Step-by-step explanation:

count up or down then left or right

Answer:

13 units.

Step-by-step explanation:

Distance = √[(x2-x1)^2 + (y2-y1)^2]     where (x1,y1) and (x2,y2) are the 2 points

So here the distance =  √(-4 - -4)^2 + (8 - -5)^2)

√(0 + 13^2)

= 13

Answer:

48 Students

Step-by-step explanation:

It is given that the total number of students is 120, and to find the amount of students that chose carrots or potatoes as their favorite vegetable multiply the percentage by 120 and add. 120 * .1 = 12. 120 * .3 = 36. 36 + 12 = 48.

Answer:

48 Students

Step-by-step explanation:

1a. 35

b. 17.5

c. 3.5d

2. $4.5

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$920\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases}[/tex]

[tex]A=920\left(1+\frac{0.07}{1}\right)^{1\cdot 6}\implies A\approx 1380.67~\hfill \underset{earned~interest}{\stackrel{1380~~ - ~~920}{\approx 460.67}}[/tex]

Answer:

f(x)=(x+4)-10

Step-by-step explanation:

Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.

The vertex is (-4, -10)

Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.

The equation we rewrite is f(x)=(x+4)-10

An example of 7th grade geometry Math in the Midwest 2019 is Puzzle: Simplify -5 + 8 - 7.

Geometry is known to be an aspect of mathematics that  deals with the study of sizes, positions of angles, and others.

To simply the above, -5 + 8 - 7, follow the rule of BODMAS. and thus: we solve for addition before subtraction.

= -5 + 8 = 3

3 - 7 = -4

Therefore the simplified form of  -5 + 8 - 7 is -4

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