Find the slope that is parallel to the equation 2x +3y 15
b) Find the slope that is perpendicular to the equation 2x + 3y 15​

Answer:

1) The system of linear equations is equal to

b+t=15  and 2b+3t=38

2) The number of bicycles ordered​ was 7 and the number of tricycles ordered​ was 8

Step-by-step explanation:

Let

b----> the number of bicycles ordered​

t----> the number of tricycles ordered​

we know that

b+t=15 -----> equation A

2b+3t=38 ---> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (7,8)

see the attached figure

therefore

The number of bicycles ordered​ was 7

The number of tricycles ordered​ was 8

The number of bicycles ordered​ was 7 and the number of tricycles ordered​ was 8.

Systems of equations are sets of equations where the solution is the intersecting point(s) between the equations.

Let, the number of tricycles and b represent the number of bicycles ordered​.

A recreation center ordered a total of 15 tricycles and bicycles from a sporting goods store.

[tex]\rm b+t=15[/tex]

The number of wheels for all the tricycles and bicycles totaled 38.

[tex]\rm 2b+3t=38[/tex]

From equation 1

[tex]\rm b+t=15\\\\b=15-t[/tex]

Substitute the value of b in equation 2

[tex]\rm 2b+3t=38\\\\ 2(15-t)+3t=38\\\\30-2t+3t=38\\\\t=38-30\\\\t=8[/tex]

Substitute the value of t in equation 1

[tex]\rm b+t=15\\\\b=15-t\\\\ b = 15-8\\\\b=7[/tex]

Hence, the number of bicycles ordered​ was 7 and the number of tricycles ordered​ was 8.

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Answer:

C, A, C

Hope This Helps!

The value 1/5 becuse you simplify

Answer:

165=z

Step-by-step explanation:

99/3 = z/5

We can solve this using cross products.

99*5 = 3z

495 = 3z

Divide each side by 3

495/3 = 3z/3

165 = z

Answer:

V = 3533

Step-by-step explanation:

Volume of a cylinder is given by

V = pi r^2 h

Using 3.14 for pi

V = (3.14) (7.5)^2 * 20

V = 3532.5

To the nearest whole number

V = 3533

Answer:

Polygon Y's area is one ninth (1/9) of Polygon X's area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem

Let

z-----> the scale factor

a-----> Polygon Y's area

b----> Polygon X's area

[tex]z^{2}=\frac{a}{b}[/tex]

we have

[tex]z=\frac{1}{3}[/tex]

substitute

[tex](\frac{1}{3})^{2}=\frac{a}{b}[/tex]

[tex]\frac{1}{9}=\frac{a}{b}[/tex]

[tex]a=\frac{1}{9}b[/tex]

therefore

Polygon Y's area is one ninth (1/9) of Polygon X's area

Answer:

1/9

Step-by-step explanation:

Answer:

the bigger one ;)

Step-by-step explanation:

Answer:

C 24-ounce bottle

Step-by-step explanation:

1095 to the second power is what google told me!

Answer:

Characteristics of the axis of symmetry include the following: It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry. It intersects a parabola at its vertex. It is a vertical line with the equation of x = -b/2a.

Step-by-step explanation:

Answer: i need a pic to know what your asking for.

Just times it all together, the same rules apply for finding the area.

Answer:

The formula for is Length x width x height so all you have to do it substitute length width and height.

Length= 14cm

Width= 7cm

Height= 16cm

so, 14cm x 7cm x 16cm= 1,568 cm

Please give me the brainliest answer?

:) Hope this helped!!! Have a good day!!! <3

ANSWER

Yes

EXPLANATION

The given relation is

2x-5y=-15

We solve for y to obtain:

-5y=-2x-15

Divide through by -5.

[tex]y = \frac{2}{5}x + 3[/tex]

This is linear relation.

There is a positive linear relationship between the two variables x and y.

Also we can see that the highest degree of the variables is unity.

Hence it represents a linear relationship between x and y.

Answer:

The angles are m∠EQF=14°, m∠EFQ=90° and m∠QEF=76°  

Step-by-step explanation:

Given the figure in which m∠DFQ = 10°,  m∠EOF = 28°

we have to find the angles of △EFQ

m∠EOF = 28°

By theorem angle subtended at the centre is twice the angle subtended at the circumference

⇒ m∠EQF=14°

As angle ∠EFQ is the angle in the semicircle

∴ ∠EFQ=90°

In ΔEFQ, by angle sum property of triangle

m∠EFQ+m∠FQE+m∠QEF=180°

90°+14°+m∠QEF=180°

m∠QEF=180°-90°-14°=76°

Hence,  m∠EFQ=90° and m∠QEF=76°

To find the missing angle in triangle △EFQ, we used the fact that the sum of angles in a triangle is always 180°. Therefore, m∠EQF is found to be 142°, making the angles of the triangle 10°, 28°, and 142°.

This problem deals with finding the measurements of angles in a triangle. In this case, the triangle is △EFQ, and we are given that m∠DFQ = 10° and m∠EF = 28°. The sum of the angles in a triangle always equals 180°. So, the third angle, m∠EQF, can be found by subtracting the given angles from 180°.

To calculate, follow these steps:

Therefore, m∠EQF = 142°. So, the angles of triangle △EFQ are 10°, 28°, and 142°.

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Answer:

B. The temperatures were more consistent in Cape Town

Step-by-step explanation:

A low standard deviation indicates less variation away from the mean.

Since Cape Town has a lower standard deviation than Three Rivers, it is more consistent

The 3rd one.....................

Answer:

Fourth option

Step-by-step explanation:

An m×n matrix is a matrix with m rows (horizontal lines) and n columns (vertical lines).

By definition, the multiplication of two matrices [tex]m_1[/tex]×[tex]n_1[/tex] and [tex]m_2[/tex]×[tex]n_2[/tex] can be done only if:

[tex]n_1 = m_2[/tex]

In the first option:

[tex]n_1 = 2\\m_2 = 1[/tex]

In the second option

[tex]n_1 = 1\\m_2 = 2[/tex]

In the third option

[tex]n_1 = 2\\m_2 = 1[/tex]

In the fourth option

[tex]n_1 = 1\\m_2 = 1[/tex]

[tex]n_1 = m_2[/tex] Multiplication can be done

Answer:

9 units²

Step-by-step explanation:

we count the number of units for the length and Width.

Length = 3 units

Width = 3 units.

Area = 3 x 3 = 9 units²

Answer:

9 square units

Step-by-step explanation:

The area of the square will be the length*width.

Because there are 3 square boxes going horizonally (length), and 3 square boxes going vertically (width), you multiply it together.

Answer:

Option A. 6.247°

Step-by-step explanation:

we know that

1°=60'

1'=60"

we have

6° 14' 48"

Convert to decimal form

Convert seconds to minutes

48"=48/60=0.8'

so

6° 14' 48"=6° + 14' +0.8'=6° 14.8'

Convert minutes to degrees

14.8'=14.8/60=0.247°

so

6° 14.8' =6° + 0.247°=6.247°

Answer:

6.247

Step-by-step explanation:

Answer:

g(n) = 2n+49

Step-by-step explanation:

Since g(1) = 51, then g(1)+2=g(2) or g(2)=53. So the formula for g(n) is

g(n) = 49+2n

The explicit formula for g(n) will be g(n) = 2n + 49.

Functions are found all across mathematics and are required for the creation of complex relationships.

g(1) = 51 and g(n) = g(n – 1) + 2

Since g(1) = 51, then g(1) + 2= g(2) or g(2) = 53.

So the formula for g(n) will be

g(n) = 49 + 2n

More about the function link is given below.

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Answer:

The answer is B.

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Given

2a² + 8a - 15 = 3a - 3 ( subtract 3a - 3 from both sides )

2a² + 5a - 12 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the product of the a² term and the constant term which sum to give the coefficient of the a term, that is

product = 2 × - 12 = - 24 and sum = + 5

The factors are + 8 and - 3

Use these factors to split the a- term

2a² + 8a - 3a - 12 = 0 ( factor the first/second and the third/fourth terms )

2a(a + 4) - 3(a + 4) = 0 ← factor out (a + 4) from each term

(a + 4)(2a - 3) = 0 ← in factored form

Step 1: Find the total area. Since it is a square all the sides are 12 ft so multiply 12 by 12

12 x 12 = 144

^^^This is the total area including the area around the pool. We just need the are of the pool

Step 2: Outside of the pool there are four little 2 ft by 2 ft squares that aren't part of pool, and therefore won't need to be covered. The area of these 2 ft by 2 ft square is 4ft (2 times 2 is 4). Since there are 4 of these squares we multiply 4 by 4 to get 16. This means that 16 ft of the 144 ft we found previously are not part of the pool and we must subtract 16 from 144 to get the total pool area

144 - 16 = 128

This means that the area of the pool is 128 ft

Hope this helped and made sense! Let me know!

Answer:

128

Step-by-step explanation:

(x-5)(2x-1) (-2x+1)(-x+5)=0 and (-2x+1)(x-5)=0 quadratic equation have  as solution set.

Answer:

well i got some HOPE THIS WILL HELP

Step-by-step explanation:

To find the solution set of a factored quadratic equation, you should set each one of the factors equal to zero and solve for .

Lets take our first quadratic equation (x+1/2)(x-5)=0 and apply this. First we are our factors equal to zero  and ; next we are going to sole for  in each factor to find the solution set:

and , so the solution set for the quadratic equation (x+1/2)(x-5)=0 is 

Lets do the same for our next one (x-5)(2x-1)=0

and

So, the solution set for the quadratic equation (x-5)(2x-1)=0 is 

Next one (x+5)(2x-1)=0

and 

So, the solution set for the quadratic equation (x+5)(2x-1)=0 is 

Next one (-2x+1)(-x+5)=0

and

So, the solution set for the quadratic equation (-2x+1)(-x+5)=0 is : therefore, we are going the select this one.

Next one (x+1/2)(x+5)=0

and

So, the solution set for the quadratic equation (x+1/2)(x+5)=0 is 

Finally, our last one (-2x+1)(x-5)=0

and

So, the solution set for the quadratic equation (-2x+1)(x-5)=0 is ; this is also a correct answer, make sure to select this one too.

We can conclude that both (-2x+1)(-x+5)=0 and (-2x+1)(x-5)=0 quadratic equation have  as solution set.

Answer:

[tex]V=152\pi in^{2}[/tex] in terms or pi

[tex]V=477.52in^{2}[/tex] simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

[tex]V=\pi r^{2} h[/tex]

where

[tex]V[/tex] is the volume of the cylinder

[tex]r[/tex] is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: [tex]r=\frac{d}{2} =\frac{8in}{2} =4in[/tex]. Now, 9 1/2 inches is 9 and a half inches, so [tex]h=9.5in[/tex].

Replacing values:

[tex]V=\pi (4in)^{2} (9.5in)[/tex]

[tex]V=\pi (16in^{2})(9.5in)[/tex]

[tex]V=152\pi in^{2}[/tex]

[tex]V=477.52in^{2}[/tex]

We can conclude that the volume of our cylinder is [tex]V=152\pi in^{2}[/tex] in terms of pi, or [tex]V=477.52in^{2}[/tex] simplified.

Answer:

[tex]V=477.5in^3[/tex]

Step-by-step explanation:

The volume of a cylinder can be calculated using the formula;

[tex]V=\pi r^2h[/tex]

where the radius is half of the diameter of the circle.

[tex]r=\frac{8}{2} =4in.[/tex]

The height of the cylinder is

[tex]h=9\frac{1}{2}=\frac{19}{2}in.[/tex]

We substitute the values into the formula to obtain;

[tex]V=\pi\times 4^2\times \frac{19}{2}[/tex]

[tex]V=477.5in^3[/tex]

correct to the nearest tenth

The answers are:

[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to calculate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

[tex]x_{FirstCar}=x_o+v*t[/tex]

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

[tex]x_{SecondCar}=x_o+(v+14mph)*t[/tex]

Now, we already know that both cars met after 2 hours and 45 minutes, and the distance between A and B is 264 miles,  so, we can calculate the relative speed between both cars.

If the cars are moving towards each other the relative speed will be:

[tex]RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph[/tex]

So , since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we  have:

[tex]2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours[/tex]

Writing the equation:

[tex]264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph[/tex]

Therefore, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

[tex]SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph[/tex]

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]

Have a nice day!

Rewrite both fractions so they have a common denominator:

-3/6 = -21/42

-5/7 = -30/42

Now you have -21/42 - 30/42

Now subtract to get:

-51/42 which reduces to -17/14 = -1 3/14

The simplification of the expression is,-17/14. The simplification is done by applying the mathematical operation step by step.

Simplification usually entails doing out the expression's pending processes.

The given expression is

(-3/6) –(5/7)

The LCM of the 6 and 7 is 42 so  rewrite the equation as;

(-3×7)/42 – (5×6)/7

(-21/42)-30/42

-51/42

Divide by 3 from the numerator and denominator we get;

-17/14

Hence, the simplification of the expression is,-17/14

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Answer:

$25

Step-by-step explanation:

i have an odd method of solving these types of equations

25x=100

x=4

340/4 = 85

85 x 3 = 255

Answer:

13.6

Step-by-step explanation:

so i did 340 devided by 25 and thats how i got it i hope this is helpful

Answer: OPTION C

Step-by-step explanation:

 To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.

Therefore, for the polynomial  [tex]5a^2 + 3a^3 + 1[/tex], you get:

  [tex]3a^3 +5a^2 +1[/tex]

The highest exponent gives you the degree of the polynomial. In this case, the highest exponent is 3, then it is a polynomial of degree 3 or a cubic polynomial.

When a polynomial has three terms, is called "trinomial". Since this polynomial has three terms, it is a trinomial.

Therefore, the you can classify it as:

Cubic trinomial

Answer:

C

Step-by-step explanation:

12,450 so yeah your welcome have a fantasist day

Answer:

The mean will decrease.

Answer:

The correct option is B.

Step-by-step explanation:

From the given dot plot we can create a frequency table.

  x                   f

 1.5                 2

  2                  1

 2.5                3

  3                  1

 3.5                2

  4                   1

This data can be written as

1.5, 1.5, 2, 2.5, 2.5, 2.5, 3, 3.5, 3.5, 4

The mean of the data is

[tex]Mean=\frac{\sum x}{n}=\frac{1.5+1.5+2+2.5+2.5+2.5+3+3.5+3.5+4}{10}=2.65[/tex]

The number of terms is 10 which is an even number. So, the median of the data is

[tex]Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{5th+6th}{2}=\frac{2.5+2.5}{2}=2.5[/tex]

If next student presents a monologue that is about 0.5 minutes long, then the new data is

0.5, 1.5, 1.5, 2, 2.5, 2.5, 2.5, 3, 3.5, 3.5, 4

The mean of the new data is

[tex]Mean=\frac{\sum x}{n}=\frac{0.5+1.5+1.5+2+2.5+2.5+2.5+3+3.5+3.5+4}{11}=2.4545..\approx 2.45[/tex]

The number of terms is 11 which is an odd number. So, the median of the new data is

[tex]Median=(\frac{n+1}{2})th=6th=2.5[/tex]

Median of given data and new data is same but the mean of new data is less than the mean of original data. It means the mean will decrease.

Therefore the correct option is B.

For this case, when making the division of polynomials, we must build a quotient that when multiplied by the divisor of the same as the terms of the dividend, the sign is changed and they are eliminated until reaching the remainder of the division.

It must be fulfilled that:

[tex]Dividend = Quotient * Divider + Remainder[/tex]

When observing the attached figure, the quotient is:

[tex]x ^ 2-2x-3[/tex]

Answer:

[tex]x ^ 2-2x-3[/tex]

See attached image

[tex]4.5x(2 - 6) \\ \\ 1. \: 4.5x \times - 4 \\ 2. \: = - 18x[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{You could solve this equation by distributing}[/tex]

[tex]\text{The Algebraic I formula for distribution is: a(b + c) = ab + ac}[/tex]

[tex]\text{4.5x(2 - 6)}\\\text{4.5x(2) = 9x}\\\text{4.5x(-6)= -27x}[/tex]

[tex]\text{Combine like terms: 9x - 27x = ?}[/tex]

[tex]\text{Solve that}\uparrow\text{you should get the rest of -18x}[/tex]

[tex]\boxed{\boxed{\text{Answer: -18x}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

The correct answer is option B).  108°

Step-by-step explanation:

Points to remember

Sum of angles of hexagon is 720°

From the figure we can see a hexagon.

To find the m<B

m<B = 720 - ( m<A + m< C + m<D + m<E + m<F)

  = 720 - ( 170 + 133 + 102 + 117 + 90)

  = 720 - 612

  = 108°

Therefore m<B = 108° Option B is the correct answer

Answer:

B. 108 degrees

Step-by-step explanation: