Solve the system of equations below.
5x + 2y = 9
2x - 3y = 15

Answer:

c = 9

Step-by-step explanation:

-2c = -18

/-2     /-2 (Divide both sides by -2)

_______

c = 9

Answer:

c=-9

Step-by-step explanation:

-2c=18

divide the whole thing by -2

c=-9

Answer:

A & E

Step-by-step explanation:

An alternate exterior angle pair would have to be on the outside and be on opposite sides of the same line (like 5 and 11).

Angles 5 and 11, and angles 4 and 6 are pairs of alternate exterior angles.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
Alternate exterior angles are angles that are located on opposite sides of the transversal (a line that intersects two other lines) and outside of the two lines being intersected. They are equal in measure.

Thus, Angles 5 and 11, and angles 4 and 6 are pairs of alternate exterior angles.

Learn more about Angles here:
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Answer:

A. x=18

Step-by-step explanation:

To solve this, we need to isolate the variable, x

-x/-3=6

Multiply both sides of the equation by -3

-3*-x/-3=6*-3

-x=-18

Divide both sides of the equation by -1

x=18

So, x=18, or choice A

Answer:

139.26990817 m² is the exact answer.

10*10=100

5²*pi + 100= 139.26990817

Hope this helped!!  :)

Answer:

a) 19

b) 3

Step-by-step explanation:

They are adding 3 sticks each time so n=3

I hope this helps

Answer:

Blank 1: -6

Step-by-step explanation:

Because if you subtract 11-17 you get: -6

Answer:

45.8

Step-by-step explanation:

We can use the Pythagorean theorem with legs 3x and 4x+7

a^2+ b^2 = c^2

(3x^2) +(4x+7)^2 = c^2

Let x = 8

(3*8)^2 + (4*8+7)^2 = c^2

24^2+ 39^2 = c^2

576+1521 = c^2

2097 = c^2

Take the square root of each side

sqrt(2097) = sqrt(c^2)

45.79301257 =c

Rounding to the nearest tenth

45.8 =c

Answer:

45.8

Step-by-step explanation:

First solve for the other two sides by replacing x with 8

4(8)+7 = 39

3(8) = 24

Then use the pythagorean theorem ([tex]a^{2} + b^{2} = c^{2}[/tex]) to solve for the hypotenuse, c being the hypotenuse

[tex]39^{2} + 24^{2} = c^{2}[/tex]

1521 + 576 = [tex]c^{2}[/tex]

2097 = [tex]c^{2}[/tex]

[tex]\sqrt{2097} = \sqrt{c^{2} }[/tex]

45.8

Answer:

a

Step-by-step explanation:

Answer:

12 units²

Step-by-step explanation:

Area = ½ × base × height

= ½ × 4 × 6

= 12 units²

Answer:

see below

Step-by-step explanation:

We need to find the diameter of the square

We can find this using the Pythagorean theorem

a^2+b^2 = c^2  where the legs are 7 and 7 and the diameter is c

7^2 +7^2 = c^2

49+49 = c^2

98 = c^2

Taking the square root of each side

sqrt(98) = sqrt(c^2)

9.899494937 = c

Since 9.9 is less than 11 which is the diameter of the circle it will never touch the circle.

Since the longest part of the square is less than the diameter of the circle, the square will fit  inside the circle without touching

Answer:

Diagonal < Diameter

Step-by-step explanation:

The square will fit inside without touching if the diagonal length is less than the diameter

Diagonal = sqrt(7² + 7²)

7sqrt(2)

Diameter = 11

7sqrt(2) < 11

Because

(7sqrt(2))² < 11²

98 < 121

Answer:

[tex]C=10(g+5)[/tex]

Step-by-step explanation:

Given the cost of a customers smartphone bill,

C=10g+50

We are required to factor the polynomial.

First, determine the G.C.D of both terms

Next, we divide each of the term by 10 and balance it by multiplying the expression by 10.

[tex]C=10g+50\\=10(\frac{10g}{10}+\frac{50}{10})\\C=10(g+5)[/tex]

The cost polynomial factored is C=10(g+5).

Answer:

10g+60=10(g+6)

Step-by-step explanation:

thats the answer

Step-by-step explanation:

[tex] \frac{8 - 6}{j - k} = \frac{2}{2 - 3} = \frac{2}{ - 1} = - 2 \\ [/tex]

Answer:

Option B

Step-by-step explanation:

Diameter= 16cm

radius= 8cm

height = 3cm

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

[tex] =3.14 {(8)}^{2} \times 3[/tex]

[tex] = 3.14 \times 64 \times 3[/tex]

[tex] = 602.88 {cm}^{3} [/tex]

[tex] = 602.9 {cm}^{3} [/tex]

Answer:

12 to 27

a long dividing the box will go at 23.5

11 to 12

the right whisker will go from 27 to 33

Step-by-step explanation: ^^^

The given sections of the box plot will be located, at the following places:

The box will go from 12 to 27 (IQR).

A line dividing the box will go at 23.5 (median).

The left whisker will go from 11 to 12.

The right whisker will go from 27 to 33 (see box plot in the image attached below).

A boxplot shows the following values:

Therefore, the given sections of the box plot will be located, at the following places:

The box will go from 12 to 27 (IQR).

A line dividing the box will go at 23.5 (median).

The left whisker will go from 11 to 12.

The right whisker will go from 27 to 33 (see box plot in the image attached below).

Learn more about box plot on:

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Answer: without parentheses it'll be : -2x square 2 2x square 2 9x-2!

Step-by-step explanation: well to start with,Nothing will change when you solve it just rember the PEMDAS and you'll be fine! Good luck :3

Answer:

216

Step-by-step explanation:

Answer:

x-3>15

x>18

Step-by-step explanation:

usually its better to read it from right to left, more than 15 tells you its gonna be >. then you see 3 less than x, which is x-3. Then solve as if the > was an equal sign

x-3>15

+3  +3

x>18

The inequality representing 'Three less than a number x is more than 15' is x - 3 > 15. Solving this, we get x > 18. Hence, x should be greater than 18.

The word sentence given is: 'Three less than a number x is more than 15'. To write this as an inequality, we start by identifying the mathematical phrase for 'Three less than a number x', which is 'x - 3'.

The phrase 'is more than' translates to the inequality symbol '>'.

Therefore, we set up the inequality as follows:

x - 3 > 15

Next, we solve the inequality step-by-step:

So, the solution to the inequality is x > 18.

In summary, when converting word sentences to inequalities, ensure you accurately translate the phrases and solve them step-by-step to find the solution.

Answer: 13:65, 8:40, 18:90

Answer:

First of all that bear is adorable second 1:3, 10:30, and 15:45

Step-by-step explanation:

To do this you have to figure out if the ratios equal the fraction 1/3 which is the fraction for the ratio 5:15 all of those equal 1/3

I know I didn't explain that well but I still hope that this helps you :)

Answer:

32,800 litres

Step-by-step explanation:

V=l*w*h

V=4*2*4.8

V=38.4 cubic meters

38.4 cubic meter -> 38,400 litres

38,400/4=9,600

9,600*3=28,800

28,800+4,000=32,800

Answer:

d. 7.3

Step-by-step explanation:

-16-10.2g = -14.7g + 16.85

4.5g = 32.85

g = 7.3

The solution for the equation -16 - 10.2g = -14.7g + 16.85 is g = 7.3. You can verify it by substituting the solution back into the original equation.

To solve the given equation, -16 - 10.2g = -14.7g + 16.85, we must first isolate the variable, g, by moving all terms involving g to one side of the equation and constant terms to the other side. Add 10.2g to both sides of the equation, giving,  -16 = -4.5g + 16.85. To further isolate g, subtract 16.85 from both sides resulting in -32.85 = -4.5g. Finally, divide by -4.5 to solve for g. Thus, g = -32.85 / -4.5 = 7.3. We verify our solution by substituting 7.3 back into the original equation and confirming that the equality holds true.

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Answer:

x = 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{3}[/tex]

Answer:

1.85

Step-by-step explanation:hope this helps god bless

Answer:

≈ 3

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

The median number is the middle value of the dot plots

=> the median number is: 28

=> the median number is: 18

=> The difference between the median number of hummingbirds spotted per day at each feeder is: 28 -18 =10 and it is = 10 / 3.168

≈ 3 times  the variability

Answer:

$3.00/ gallon

Step-by-step explanation:

Take the amount paid  and divide by the number of gallons

We are estimating so round 14.5 gallons to 15

$45/15 gallons

$3.00/ gallon

Answer:

V =41.41³

A = 94.41²

----

V =225.16³

SA =283.25²

----

V = 64³

SA =113.32²

----

V =433.33³

SA = 378.57²

Step-by-step explanation:

Picture 2 = a = 1/2 base = 3.5 x 3.5 = 12.25  b= 5 x 5 = 25

c²= a² + b² = 3.5² + 5²

c ²= √12.25 + √25

c ²= √ 37.5 = 6.12372435696

c ² = 6.1237   missing side

Picture 1 + 2  formula SA = bh + (s1 + s2 + s3)H

V =  V= 1/2 b x h  h x SA

Picture 3 + 4  formula SA= a²+ 2a   a² / 4 + h²    V= a²  h/3

y > -(1/2) x + 5   and   y ≤ 3x - 2

(5,3):

3 >? -(1/2)(5) + 5  = 5-5/2 = 5/2; that's true

3 ≤ 3(5) - 2 = 13; that's true

(4,3)

3 >? -(1/2)4 +5 = 5 - 2 = 3; that's false

Answer: 2)    (4,3)

Let's check the rest.

(3,4)

4 >? -(1/2)(3) + 5 = 5 - 3/2 = 7/2, true

4 ≤ 3(3) - 2 = 7, true

(4,4)

4 >? -(1/2)(4) + 5 = 5 - 2= 3, true

4 ≤ 3(4) - 2 = 10, true

Answer seems right.

Step-by-step explanation:

Given

slope (m) = 3

Point

( x1 , y1) = ( 4 , 2)

The equation of line is

y - y1 = m( x - x1)

y - 2 = 3( x - 4)

y - 2 = 3x - 12

3x - y - 12 + 2= 0

3x - y - 10 = 0

Which is the required equation

Hope it will help you :)

Answer:

d

Step-by-step explanation:

trust me

Answer:

B)  1.

Step-by-step explanation:

Prob(red) = 5/10

Prob(green) = 3/10

Prob(yellow) = 2/10

The sum = 5/10 + 3/10 + 2/10 = 10/10

= 1.