Solve for y: 6x-3y=24​

Answer:you need common denominatord 4*2=8 3*2=6 6/8+1/8=7/8 of sugar

Step-by-step explanation:

Answer:

- 7, 28, - 112, 448

Step-by-step explanation:

To obtain the next term in a geometric sequence multiply the previous term by r

Given

a₁ = - 7 and r = - 4, then

a₂ = - 7 × - 4 = 28

a₃ = 28 × - 4 = - 112

a₄ = - 112 × - 4 = 448

The first four terms are - 7, 28, - 112, 448

Answer:

11+x

Step-by-step explanation:

Straight outta Khan

The width of the rectangle with an area of 121-x^2 square meters and a length of 11 - x meters is represented by the expression 11 + x meters.

The area of a rectangle is the product of its length and width. In this case, the area is given as 121-x^2 square meters, while the length is given as 11 - x meters. To find the expression for the width, we divide the area by the length. Therefore, the width w can be represented by the following equation:

w = \(\frac{Area}{Length}\) = \(\frac{121-x^2}{11-x}\).

Due to the structure of the quadratic area (a perfect square difference) and the linear length (a factor of the quadratic), the equation simplifies to:

w = \(\frac{(11+x)(11-x)}{11-x}\).

Canceling out the common factor (11-x), we are left with:

w = 11 + x.

Thus, the expression representing the width of the rectangle is 11 + x meters.

Area of a circle = PI x r^2

r is 1/2 the diameter = 0.5 inches

Area = 3.14 x 0.5^2

Area = 0.79 in^2

It looks like it’s missing something...is it a part A ?

Answer:

8 minutes if Jane was assumed to be stationary

Step-by-step explanation:

The question is on relative speed

First find the distance covered by Jane when Sally left school

Speed=Distance/Time ⇒⇒ Distance=Time×Speed

Time=10minute=10/60 hrs

Jane's speed= 12mph

Distance covered by Jane when Sally left school was= 12 ×10/60 = 2miles

So, when Sally left school, Jane was 2 miles away. To find the time Sally requires to catch up with Jane;

Time=Distance/speed

Time of meeting =2/15 hrs ⇒⇒ 2/15 × 60 =8minutes

Answer:

Step-by-step explanation:

1.2,0.67,0.625,0.6

the answer is .6,.625,0.67,1.2

Answer:

y = -2x + 16

Step-by-step explanation:

A line perpendicular to y = (1/2)x - 6 would have a slope that is the negative reciprocal of 1/2, that is, a slope of -2.  Here the given point is (h, k):  (6, 4)

Applying the point-slope formula of the straight line,

y - k = m(x - h), where (h, k) is the point, we get:

y - 4 = -2(x - 6), or

y       = 4 - 2x + 12, or      

y   = -2x + 16

Answer:

5 vertices

Step-by-step explanation:

4 on the bottom and 1 on the top

Answer:

5

Step-by-step explanation:

Answer:

-0.41614683654

Step-by-step explanation:

Answer: The answer is -0.41614683654. hope I helped. :)

Answer:

720 i would think.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(7x + 9)x + 90               use the distributive property a(b + c) = ab + ac

= (7x)(x) + (9)(x) + 90

=7x² + 9x + 90

Answer:

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}6x+15y=15\\-6x+7y=-37\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad22x=-22\qquad\text{divide both sides by 22}\\.\qquad\qquad x=-1\\\\\text{Put the value of x to the first equation:}\\6(-1)+15y=15\\-6+15y=15\qquad\text{add 6 to both sides}\\15y=21\qquad\text{divide both sides by 15}\\y=\dfrac{21}{15}\to y=\dfrac{7}{5}[/tex]

Answer:2

The second one because it is 108in and the first one is 47.6

Answer:

6 inch x 9 inch rectangular cake pan that is 2 inches deep

Step-by-step explanation:

6x9 is 54 x 2 is 108

the round has a volume of 28

Answer:

-618/d

Step-by-step explanation:

103 divided by d is 103/d and that divided by -1/6 is -618/d

Answer:

[tex]17\ in[/tex]

Step-by-step explanation:

Let

D -----> the diagonal of the laptop monitor

we have

[tex]D=\sqrt{290}\ in[/tex]

Using a calculator

[tex]D=\sqrt{290}=17.03\ in[/tex]

Round to the nearest whole number

[tex]17.03\ in=17\ in[/tex]

Answer:

17

Step-by-step explanation:

i jus did this on edg

131 because u divide 96 and 16 and get 6 then add that to 125

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

He right answer is 128

ANSWER

The solution is (-1,2)

EXPLANATION

The system is:

y = 2x + 4

and

y = 8x + 10

Equate the two:

2x + 4 =8x + 10

Group similar terms:

8x-2x=4-10

Combine similar terms,

6x=-6

Divide both sides by 6.

x=-1

This implies that ,

y=2(-1)+4

y=2

The solution is (-1,2)

Answer:

x=-1

Step-by-step explanation:

y=2x+4

y=8x+10

y is = to both so use them together...

2x+4=8x+10

solve...

-2x both sides

4=6x+10

-10 both sides

-6=6x

divide by 6 both sides

x=-1

For this case we must write in algebraic symbology the expression described above:

We have an equation, then:

We construct the equation:

[tex]x ^ 2 + y ^ 2-2x + 7y + 1 = 0[/tex]

Answer:

[tex]x ^ 2 + y ^ 2-2x + 7y + 1 = 0[/tex]

Answer:

The general equation is 4x² + 4y² - 8 x + 19 y - 140 = 0

Step-by-step explanation:

* Lets revise the general form of the equation of the circle

- The general form : x² + y² + Dx + Ey + F = 0, where D, E, F are constants

- To find the values of D, E , F we must make three equations contains

  D, E , F and solve them simultaneous

- We can do that if we have three points on the circle to substitute

  x and y in the equation by them

* Now lets solve the problem

- There are three point on the circle (-5 , 0) , (0 , 4) , (2 , 4)

∵ The equation of the circle is x² + y² + Dx + Ey + F = 0

- Lets use the first point

∵ point (-5 , 0) lies on the circle

∴ (-5)² + (0)² + D(-5) + E(0) + F = 0 ⇒ simplify

∴ 25 - 5D + F = 0 ⇒ isolate F

∴ F = 5D - 25 ⇒ (1)

- Lets use the second point

∵ point (0 , 4) lies on the circle

∴ (0)² + (4)² + D(0) + E(4) + F = 0 ⇒ simplify

∴ 16 + 4E + F = 0 ⇒ substitute F form (1)

∴ 16 + 4E + 5D - 25 = 0

∴ 5D + 4E - 9 = 0 ⇒ add 9 to both sides

∴ 5D + 4E = 9 ⇒ (2)

- Lets use the third point

∵ point (2 , 4) lies on the circle

∴ (2)² + (4)² + D(2) + E(4) + F = 0 ⇒ simplify

∴ 4 + 16 + 2D + 4E + F = 0 ⇒ simplify

∴ 20 + 2D + 4E + F = 0 ⇒ substitute F form (1)

∴ 20 + 2D + 4E + 5D - 25 = 0 ⇒ simplify

∴ 7D + 4E - 5 = 0 ⇒ add 5 to both sides

∴ 7D + 4E = 5 ⇒ (3)

- Subtract (3) from (2) to eliminate E

∴ -2D = 4 ⇒ ÷ -2

∴ D = -2

- Substitute the value of D in (3) to find E

∴ 7(-2) + 4E = 5

∴ -14 + 4E = 5 ⇒ add 14 from both sides

∴ 4E = 19 ⇒ ÷ 4

∴ E = 19/4

- Substitute the value of D in (1) to find F

∴ F = 5(-2) - 25

∴ F = -10 - 25 = -35

∴ F = -35

* lets write the equation of the circle

∴ x² + y² - 2x + 19/4 y - 35 = 0 ⇒ × 4

∴ 4x² + 4y² - 8 x + 19 y - 140 = 0

* The general equation is 4x² + 4y² - 8 x + 19 y - 140 = 0

Answer:B

Step-by-step explanation:

Answer: B.  263.16 hertz

Step-by-step explanation:

We are given the time period of a musical note T= 0.0038 seconds.

Since ,we know that the frequency is given by the reciprocal value of the time period.

Therefore, the frequency of the musical note middle  is given by :-

[tex]\nu=\dfrac{1}{T}\\\\\Rightararow\nu=\dfrac{1}{0.0038}\\\\\Rightararow\nu=263.157894737\approx263.16\ Hz[/tex]

Hence, the  frequency of the musical note middle C = 263.16 Hertz

Answer:

I think the answer is B which is the one you have selected.

Answer:

I think the answer is B.

Answer:

13

Step-by-step explanation:

In the question area!! lol

To find Janak's age, we set up an equation based on the information that his age is twice younger than his father's and six times younger than his sister's with their combined age totaling 118. Upon solving the algebraic equation, we find that Janak is approximately 13 years old.

We are given a problem where Janak is twice younger than his father and six times younger than his sister. The total age of Janak, his father, and his sister is 118 years. To solve for Janak's age, we will use algebra.

Let's assume Janak's age is J, his father's age will be 2J (twice Janak's age), and his sister's age will be 6J (six times Janak's age). We express the total age as the sum of their individual ages:

The equation that represents the total age is:

Combining the terms gives us:

To find Janak's age, we divide both sides of the equation by 9:

After performing the division, we get:

So, Janak is approximately 13 years old.

(9,13) would be another point that the line passes through.

Answer: 9/13 C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Obviously it's impossible for anyone to measure the weight and length of all US rattlesnakes.

Thus, A is correct.  200 is not a large sample compared to millions or billions of rattlesnakes, but is still a lot more reasonable and workable than attempting to measure ALL US rattlesnakes.

A. 3, 4, 6

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. The surface area of a solid is the total area of its outer surface. For a rectangular prism, we have three characteristic sides, which are height, width and depth. If:

[tex]height=a \\ \\ width=b \\ \\ depth=c[/tex]

Then, from the figure below we have:

[tex](1) \ a\times b=24 \\ \\ (2) \ a\times c=18 \\ \\ (3) \ b\times c=12 \\ \\ \\ From \ 1 \ and \ 3: \\ \\ b=\frac{24}{a}=\frac{12}{c} \therefore 24c=12a \ (4) \\ \\ From \ 2: \\ \\ a=\frac{18}{c} \\ \\ 2 \ into \ 4: \\ \\ 24c=12\times \frac{18}{c} \therefore c^2=9 \therefore \boxed{c=3} \\ \\ \\ c \ into \ 2: \\ \\ a=\frac{18}{3} \therefore \boxed{a=6} \\ \\ \\ c \ into \ 3: \\ \\ b=\frac{12}{3} \therefore \boxed{b=4}[/tex]

Finally, the dimensions are:

3, 4 and 6 cm

the answer is D you’re welcome

Answer: [tex]\frac{2a\sqrt{c}}{3}[/tex]

Step-by-step explanation:

Remember that:

Given the expression [tex]\frac{6(\sqrt{a^3b^2c^4})}{9b\sqrt{ac^3} }[/tex]

You know that:

[tex]a^3=a^2*a\\c^3=c^2*c[/tex]

Then, you must rewrite the expression and simplify:

[tex]\frac{6\sqrt{a^2ab^2c^4}}{9b\sqrt{ac^2c} }=\frac{6abc^2\sqrt{a}}{9bc\sqrt{ac}}=\frac{2ac\sqrt{a}}{3(\sqrt{a})(\sqrt{c})}=\frac{2ac}{3\sqrt{c}}[/tex]

Multiply the numerator and the denominator by [tex]\sqrt{c}[/tex]:

[tex]\frac{(2ac)\sqrt{c})}{(3\sqrt{c})(\sqrt{c})}=\frac{2ac\sqrt{c}}{3(\sqrt{c})^2}=\frac{2ac\sqrt{c}}{3c}=\frac{2a\sqrt{c}}{3}[/tex]

The answer is C. C is not a proportion.

Hope this helps!

Answer:

C

Step-by-step explanation:

By definition a proportion should be equal to each other and can be multiplied by the same number on the numerator and the denominator to make the second fraction.

[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]

[tex]\frac{x_1}{y_1}*\frac{z}{z}=\frac{x_2}{y_2}[/tex]

A

[tex]\frac{3}{7}*\frac{3}{3}=\frac{9}{21}[/tex]

So it is a proportion.

B

[tex]\frac{24}{56}/\frac{8}{8}=\frac{3}{7}[/tex]

So it is a proportion.

C

[tex]\frac{3}{7}*\frac{3}{4}=\frac{9}{28}[/tex]

So it is not a proportion.

D

[tex]\frac{3}{7}*\frac{4}{4}=\frac{12}{28}[/tex]

12 in. ²

a = bh

a = 2 x 6

a = 12 in. ²

Answer:

12 in. ^2

Step-by-step explanation:

The area of a rectangle can be found by using the formula legnth x width.

Here the legnth is 2 in. and the width is 6 in.

6 x 2 = 12

Whenever you find the area, unit of measurement is ^2, thus resulting in the answer 12 in. ^2

I hope this helps!