solve: 31 - 8(y+5) =7

Answer:

D: (x^2 + 3x + 9) (x^2 - 3x + 9)

-

G: (x^2 + 3x + 5) (x^2 - 3x + 5)

Answer:

[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]

[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

$90

Step-by-step explanation:

Answer:

The original price is $93.75 if it is 20% off you will pay $75.

Step-by-step explanation:

1st.) We know the original price is considered 100%

So...Subtract the discount from the original percent.

100% (original percent)

20% (discount percent)

----

80%

2nd.) Make equation. We need the percent to be in decimal form so move the decimal point to the left two places. (80% will now equal 0.8)

0.8x=$75

0.8x/0.8=$75/0.8

x=$93.75

----------------------------

The original price is $93.75 if it is 20% off you will pay $75.

Answer:

8.66  =  9

Step-by-step explanation:

The square root of 75 is approximately equal to 8.66 but if rounded 9

Step-by-step explanation:

17.275 3 decimal plalcesl

Answer:

Answer:

-6xy²

Step-by-step explanation:

xy² - 2xy² - 5y²x

use commutative property to reorder terms

xy² - 2xy² -5xy²

combine like terms

- xy² - 5xy²

- 6xy²

Answer:

Volume of the solid is 377 cm³.

Step-by-step explanation:

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

Here, r = radius of the cylinder

h = Height of the cylinder

By substituting the values in the formula, (r = 4 cm and h = 10 cm)

Volume of the cylinder = [tex]\pi (4)^2(10)[/tex]

                                      = 160π

Since one fourth of the cylinder is removed,

Volume of the remaining cylinder = 160π - [tex]\frac{160\pi }{4}[/tex]

                                                        = 160π - 40π

                                                        = 120π

                                                        = 120(3.14)

                                                        = 376.8 cm³

                                                        ≈ 377 cm³

Volume of the solid is 377 cm³.

Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

Answer:

x + 2

Step-by-step explanation: I believe that can help you!

Answer:

D) X >= to -1

Step-by-step explanation:

Since the dot on -1 is filled in, -1 is included. The arrow points to the right, implying that X is greater than or equal to -1.

It's D)

Because the full circle means "equal to" and it's going towards the right which means it will be greater.

Answer:

option C

Step-by-step explanation:

2x^2 + 5x + 3

using middle term break method

we need two numbers which gives 6 when multiplied and 5 when added

2x^2 + (3 + 2)x + 3

2x^2 + 3x + 2x + 3

x(2x + 3) + 1(2x + 3)

(2x + 3)(x + 1)

Answer:

[tex]V=2080m^3[/tex]

Step-by-step explanation:

The volume formula for triangular prism is  [tex]V=\frac{1}{2}bhl[/tex]

[tex]V=\frac{1}{2}(26)(20)(8)[/tex]

[tex]V=\frac{1}{2}(4160)[/tex]

[tex]V=2080[/tex]

Hope this helps

Answer:

The answer is 2080m^3

Step-by-step explanation:

The formula for volume of a prism is 1/2 x length x width x height

Hope it helps :)

Answer:

684 in^2

Step-by-step explanation:

SA = 2 ( l*w + l*h+ w*h)

SA = 2( 6*15 + 6*12+ 15*12)

     = 2( 90+72+180)

    = 2(342)

    = 684 in^2

Answer:

36 sq units

Step-by-step explanation:

the area of shaded part =

(½×12×12) - (6×6)

= 72-36

= 36 sq units

Answer:

D option

Step-by-step explanation:

Hope this helps

Answer:

y = 1/5x + 6

Step-by-step explanation:

If the second cut is parallel to the first, it will have the same slope.

So, it will have a slope of 1/5.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

6 = 1/5(0) + b

6 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = 1/5x + 6

So, the equation of the second cut is y = 1/5x + 6

Answer:

option A

Step-by-step explanation:

22 : 15 + 10hours = 8 : 15

                              8 : 15 + 35 minutes = 8 : 50

Therefore the difference = 10 hours 35 minutes

Answer:

A) 47.17

B) 10.2 feet

Step-by-step explanation:

dont forget to switch the calculator to degrees when doing this

For A)

arcsin(11/15)=angle of elevation

47.17=angle of elevation

For B)

tan(47.17)=11/x

11/tan(47.17)=x

10.2=x

read comments for other stuff that i forgot to put in here

Angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].

" Angle of elevation is defined as the angle between horizontal plane and the observation line of sight."

Formula used

[tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]

Pythagoras theorem

[tex](Hypotenuse)^{2} = (Perpendicular)^{2} + (Base)^{2}[/tex]

According to the question,

Length of the ladder ' hypotenuse'= 15 foot

Height to reach a point ' perpendicular' = 11feet

'[tex]\alpha[/tex]' represents the angle of elevation

[tex]'x'[/tex] represents the base of the house

Substitute the value to get the value of angle of elevation we have,

   [tex]sin\alpha = \frac{11}{15}[/tex]

⇒ [tex]\alpha = sin^{-1} (0.7333)[/tex]

⇒[tex]\alpha = 47.14[/tex] degrees

Substitute the value in the formula to get the value of base we have,

[tex](15)^{2}= (11)^{2} +x^{2}[/tex]

⇒[tex]x^{2} = 225 - 121[/tex]

⇒[tex]x^{2} = 104[/tex]

⇒[tex]x=\sqrt{104}[/tex]

⇒[tex]x= 2\sqrt{26}[/tex] foot

Hence, angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].

Learn more about angle of elevation here

https://brainly.com/question/21137209

#SPJ2

Answer:

22 hours

Step-by-step explanation:

Old machine produces 36 widgets in 9 hours. The number of widgets produced in an hour can be determined as;

In 1 hour = [tex]\frac{36}{9}[/tex]

              = 4 widgets

New machine can produce 40 widgets in 8 hours. The umber of widgets produced in an hour can be determined as;

In 1 hour = [tex]\frac{40}{5}[/tex]

              = 5 widgets

Thus, let the time required by old machine be represented by s, and that of new machine by y. Working together we have;

4x + 5y = 100

(4 * 10) + (5 * 12) = 100

Thus the old machine would work for 10 hours, while the new machine would work for 12 hours to produce 100 widgets.

Working together, it would take both machines 22 hours.

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

p = √4,273.2

p ≈ 65.4 m (nearest tenth)

QR = 65.4 m

Answer:

[tex]V=36.63cm^3[/tex]

Step-by-step explanation:

Volume formula for rectangular prism is [tex]V=lwh[/tex]

Volume = length * width * height

[tex]V=4.5*2.2*3.7[/tex]

[tex]V=36.63[/tex]

Hope this helps

Answer:

a = 8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cube Formula: V = a³

Step-by-step explanation:

Step 1: Define

Identify variables

V = 512 cm³

Step 2: Find a

Answer:

430 km

Step-by-step explanation:

If they traveled 350 km by bus and biked 80 km more than they were bused, then,

Traveled by bus, Y = 350 km

Traveled by bike, X = 350 + 80 = 430 km

Hope this will help. Please mark me brainliest if it helps.

Answer:

Angle 1: 145 degrees

Angle 2: 35 degrees

Angle 3: 145 degrees

Angle 4: 35 degrees

Angle 5: 145 degrees

Angle 6: 35 degrees

Angle 7: 145 degrees

Angle 8: 35 degrees

Step-by-step explanation:

1) See above.

2) Angles 4 and 2 are equal, because they are vertical angles (share a vertex) where two parallel lines are cut by a transversal (line c?)

Angles 1 and 2 equal 180 degrees when added together, so 180 - 35 = 145, which is the measure of angle 1.

Angles 1 and 3 are also vertical, and therefore equal.

When two or more lines are cut by a transversal, the angles that are in the same relative position are corresponding angles.

When the lines are parallel, the corresponding angles are congruent.

Congruent angles are equal. So Angle 1 = Angle 5 and Angle 2 = Angle 6. Then the rules for vertical angles apply again, giving you the measures for angles 7 and 8.

3) 1 and 3 are vertical, 2 and 4 are vertical, 5 and 7 are vertical, 6 and 8 are vertical.

1 and 5 are corresponding, 2 and 6 are corresponding, 3 and 7 are corresponding, 4 and 8 are corresponding.

4) 1 and 2, 3 and 4, 5 and 6, 7 and 8 are all supplementary pairs.

1 and 4, 2 and 3, 5 and 8, and 6 and 7 are supplementary pairs.

1 and 3, 2 and 4, 5 and 7, 6 and 8 are equal pairs because they are vertical.

1 and 5, 2 and 6, 3 and 7, 4 and 8 are equal pairs because they are corresponding.

Hopefully this covers all they wanted.

Answer:C

Step-by-step explanation:it’s really simple

Answer:

C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Line segment          Point         Point         Distance    Proof

AB                           A(-3 , 4)      B(2,4)          5                2 - (-3) = 2 +3 = 5

BC                          B(2,4)          C(5,4)          3                 5 - 2 = 3

CD                          C(5,4)          D(5,-1)          5              4 -(-1) = 4 +1 = 5

DE                           D(5 , -1)       E(5,-3)          2             -1 -(-3) = -1 +3 = 2

EF                           E(5, -3)        F(-5,-3)         10            5 - (-5) = 5+5 = 10

Answer:

yes it is correct

Step-by-step explanation:

option 1  

Answer:

Your answer is correct! 9:1

Step-by-step explanation:

Old Area = side x side

? = 2 x 2

     4cm

New Area-

Step 1: Triple the sides

2 x 3 = ?

    6cm

Step 2: Find the area

6 x 6 = ?

  36cm

The ratio of the new area to the old area is:

                     36 : 4

But wait! You can simply it!

36 / 4 = 9

4 / 4 = 1

So the new ratio would be:

                     9 : 1

Hope this helps!

Good Luck!

:)