one number is three less than twice another . the sum of their square is 117 . find the numbers.​

Answer:

The perimeter of the rectangle is 54, and the area is 170.

Step-by-step explanation:

First, we must plug the coordinates into a graph (attached below).

[tex]l=10\\w=17[/tex]

Now, we must solve for the perimeter.

[tex]P=2(l+w)\\P=2(10+17)\\P=2*27\\P=54[/tex]

Lastly, we must solve for the area.

[tex]A=wl\\A=(17)(10)\\A=17*10\\A=170[/tex]

You're welcome!

Answer:

2/3

Step-by-step explanation:

Probability=number of favourable outcomes/number of possible outcomes

P(customers who were happy with their experience)= 8/12 = 2/3

two-third of total customers (12 people) were happy with their experiences.

Answer:

The radicals is the name of the sign we use in roots. The numerator is the power of the exponential, and the denominator is the power of the root.

So we take the radical:

√((-4)^2/7)

And move the denominator to the place where we list the root's power:

7√((-4)2)

Do note you can remove the outermost parentheses if you were to extent the radical's top line, something like so:

_____

7√(-4)2

[tex]the \: answwr \: is \: 1.48 \: or \\ 7 \sqrt{( - 4) {}^{2} } [/tex]

# be careful #

Answer:

x = 2

Step-by-step explanation:

x*(4) = (8-2x)*(2)

4x = -4x+16

+4x    +4x

8x = 16

x = 2

Answer:

x = 2

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

x = 0

y = 2

Step-by-step explanation:

4x - y = -2

2x + y = 2

-------------- add the equations

6x = 0

x = 0

substitute x in equation 1

0 - y = -2

y = 2

Answer:

26.32

Step-by-step explanation:

50 + 9.5x = 300

9.5x = 250

x = 26.32

Have a good day!

Points be

Slope of AB:-

[tex]\\ \tt\hookrightarrow m=\dfrac{1+3}{6-6}=\dfrac{4}{0}=\infty[/tex]

Slope of BC

[tex]\\ \tt\hookrightarrow m=\dfrac{6-1}{0}=\infty[/tex]

As

A,B,C are colinear.

Answer:

look it up go to demos

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Let x = number of t-shirts

Let y = total cost

If the company charges $3 per shirt, plus a $50 flat fee for shipping:

⇒ y = 50 + 3x

If the school spends $113 total, subtitute y = 113 and solve for x:

⇒ 113 = 50 + 3x

⇒ 113 - 50 = 3x

⇒ 63 = 3x

⇒ x = 63 ÷ 3

⇒ x = 21

Therefore, the choir bought 21 t-shirts

Solution:

Note that:

Solve the equation to find out how many shirts did the school choir bought.

The school choir bought 21 shirts.

According to the diagram:-

Exterior angle is equal to the sum of two opposite interior angle

[tex] \angle D + \angle \: E = ext \angle C \\ 6x + 8 + 5x + 8 = 82 \\ 11x + 16 = 82 \\ 11x = 82 - 16 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = \frac{ \cancel{66}^{ \: \: 6} }{ \cancel{11} } \\ x = 6[/tex]

The value of x from the figure is 6

The sum of the interior angles of a triangle is equal to its exterior

Acording to the figure shown;

6x + 8 + 5x + 8 = 82

11x = 82 - 16

11x = 66

Divide both sides by 11

111x/11 = 66/11

x = 6

Hence the value of x from the figure is 6

Learn more on angles of a triangle here: https://brainly.com/question/25215131

Answer: x = -5 and y = -5

Step-by-step explanation:

They drew the linear graph for the simultaneous equations on the graph already

The answer the the equations is the intersection of the lines which is (-5,-5) or x = -5 and y = -5

Answer:

adding all like terms the answer will be:

[tex]\frac{3}{8} x + \frac{1}{2} y + \frac{3}{8}[/tex]

Step-by-step explanation:

Answer:

sec answer

[tex] \frac{3}{8} x + \frac{1}{2} y + \frac{3}{8} [/tex]

Answer:

The amount of region enclosed by a plane-closed figure is called its Area. Hence, correct answer is Area.

FROM

SURAJ SAINI

Answer:

2(−2x^28+3x^2−4)=0

Step-by-step explanation:

this is your answer factored. but i will you the real answer after you tell me all the other options

Answer:

Step-by-step explanation:

Answer: I think 7

Step-by-step explanation:

Answer:

[tex]32x^2 \sqrt[3]{2x} - 8x^3[/tex]

Step-by-step explanation:

[tex]\hookrightarrow 4x\sqrt[3]{4x^2}\left(2\sqrt[3]{32x^2}-x^3\sqrt{2x}\right)[/tex]

[tex]\hookrightarrow 8x\sqrt[3]{32x^2 } \sqrt[3]{4x^2} -4x^2 \sqrt[3]{4x^2} \sqrt[3]{2x}[/tex]

[tex]\hookrightarrow 2^5\sqrt[3]{2}x^{\frac{7}{3}}-2^2\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3[/tex]

[tex]\hookrightarrow 32\sqrt[3]{2}x^{\frac{7}{3}}-4\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3[/tex]

[tex]\hookrightarrow 32x^2 \sqrt[3]{2x} - 8x^3[/tex]

The measure of x is an illustration of the cosine trigonometry ratio

The measure of x to the nearest tenth of a degree is 58.7 degrees

The measure of x is calculated using the following cosine ratio

[tex]\cos(x) = \frac{4.1}{7.9}[/tex]

Evaluate the quotient

[tex]\cos(x) = 0.5190[/tex]

Take the arccos of both sides of the equation

[tex]x = \cos^{-1}(0.5190)[/tex]

Evaluate the arccos(0.5190)

[tex]x = 58.73[/tex]

Approximate to the nearest tenth of a degree

[tex]x = 58.7[/tex]

Hence, the measure of x is 58.7 degrees

Read more about cosine ratio at:

https://brainly.com/question/15793827

Step-by-step explanation:

these are multiplications.

you could also write

4 + 5×(p - 1)

now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.

if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.

so,

4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1

remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).

Answer:

once a plats grew in 2 weeks he was 12 weeks old and he grew by 10 to 60 height lead and and he gained 140 to 155 fat

Step-by-step explanation:

Point K because its x-coordinate is at 2 and its y-coordinate is at -3.

A) Point K

Answer:

Point K

Step-by-step explanation:

Remember, in a rectangular coordinate plane, every point is shown as (x, y)

x is moving left and right while y moves up and down. Looking at the point provided, (2, -3).

x = 2

A positive x value means the point will be shifted to the right, while the number 2 tells you to shift to the right 2 units.

y = -3

A negative y value means the point will be shifted down, while the number -3 tells you to shift down 3 units.

Now, looking at the graph, starting at (0, 0), move to the right 2 units and move down 3 units. The point resting at this point is Point K.

Step-by-step explanation:

[tex]x - 6 < - 4[/tex]

[tex]x - 6 + 6 < - 4 + 6[/tex]

[tex]x < 2[/tex]

Answer:

x=-3/5y+3

Step-by-step explanation:

Let's solve for x.

5x+3y=15

Step 1: Add -3y to both sides.

5x+3y+−3y=15+−3y

5x=−3y+15

Step 2: Divide both sides by 5.

5x/5 = -3y+15/5

Answer

x=-3/5y+3

The sides that correspond to each angle in triangle ABC are:

The angles correspond with each side in the triangle are:

The corresponding sides are segments located at the same relative position of an angle.

So, the corresponding sides of the angles are:

Side YZ & angle XYZ, Side XZ & angle ZXY, and Side YX and angle YZX

On the other hand, the corresponding angles are segments located at the same relative position of the sides.

So, the corresponding angles of the sides are:

Side KL & angle K, Side LJ & angle J, and Side JK and angle L

Read more about corresponding sides and angles at:

https://brainly.com/question/1675117

Answer:

-2.1°F

Step-by-step explanation:

We will subtract 28.8°F from 30.9°F and then reverse our answer.

30.9°F - 28.8°F = 2.1°F

= -2.1°F.

Answer: -2.1°F

The correct answer is -2.1°F. You do this by simply subtracting 28.8 by 30.9. When doing this, you get -2.1. So the temperature at midnight was -2.1°F.

Step-by-step explanation:

Hope this helps =)

Answer:

n = 28

Step-by-step explanation:

hope this helps :)

[tex]\frac{n}{44} =\frac{7}{11} \\\\11n=308\\n=\frac{308}{11} \\n=28[/tex]