Expand and Simplify (x+7)(x+5)

Answer:

14

Step-by-step explanation:

Let the original denominator be 2x.

The original numerator is x.

The original fraction is x/(2x).

The numerator is increased by 2, and the denominator is decreased by 2.

The new fraction is (x + 2)/(2x - 2).

The new fraction equals 3/4.

(x + 2)/(2x - 2) = 3/4

Cross multiply.

4(x + 2) = 3(2x - 2)

4x + 8 = 6x - 6

-2x = -14

x = 7

The original numerator was 7.

2x = 2(7) = 14

The original denominator was 14.

Answer:

The answer is "MS and QS".

Step-by-step explanation:

Given ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. we have to prove that ΔMNS ≅ ΔQNS.

As NR and MQ bisect each other at S

⇒ segments MS and SQ are therefore congruent by the definition of bisector i.e   MS=SQ

In ΔMNS and ΔQNS

MN=QN       (∵ MNQ is isosceles triangle)

∠NMS=∠NQS     (∵ MNQ is isosceles triangle)

MS=SQ         (Given)

By SAS rule, ΔMNS ≅ ΔQNS.

Hence, segments MS and SQ are therefore congruent by the definition of bisector.

The correct option is MS and QS

Answer:

D

Step-by-step explanation:

edge

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

9

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, substituting it in the expression above we have :

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4

2.8y = 44.4 -19.2 = 25.2

y = 25.2 / 2.8 = 9

Answer:

y=9

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, y=?

Answer:  (2, 9), (4, 3)

Step-by-step explanation:

[tex]\text{The slope formula is: }m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{2-3}{9-4}\quad =-\dfrac{1}{5}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{9-3}{2-4}\quad =\dfrac{6}{-2}\quad =\large\boxed{-3}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{2-4}{9-3}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{9-4}{2-3}\quad =\dfrac{-5}{1}\quad =-5[/tex]

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Answer:

1/9

Step-by-step explanation:

Where my coins at bruh and yo number jhit

The value of the expression {(-3)⁰}/{(-3)²} is 1/9.

Exponentiation is one of the mathematics operations.

Let mᵃ, where m and a are the real numbers.

And m is multiplied by a times to itself.

So, a is the exponent of m.

Given:

Start Fraction (negative 3) Superscript 0 Over (negative 3) squared End Fraction

In numerator form:

{(-3)⁰}/{(-3)²}

= 1/9

Therefore, 1/9 is the value.

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Answer:

x=5/7

Step-by-step explanation:

Distribute

3x-6+7x=3x-1

Combine Like Terms

10x-6=3x-1

7x-6=-1

7x=5

x=5/7

Answer:

[tex]x=5/7[/tex]

Step-by-step explanation:

[tex]3(x-2)+7x=1/2(6x-2)[/tex]

Use algebraic distribution.

[tex]3x-6+7x=3x-1[/tex]

Add like terms.

[tex]10x-6=3x-1[/tex]

Add [tex]-3x[/tex] and [tex]+6[/tex] on both sides of the equation.

[tex]10x-3x=-1+6[/tex]

Add and subtract.

[tex]7x=5[/tex]

Divide [tex]7[/tex] on both sides of the equation.

[tex]x=5/7[/tex]

Answer:

14≤x

Step-by-step explanation:

-6(x-4) ≤-4(x+1)

Distribute

-6x+24 ≤-4x-4

Add 6x to each side

24 ≤-4x-4+6x

24 ≤ 2x-4

Add 4 to each side

24+4≤2x

28≤2x

Divide by 2

28/2≤2x/2

14≤x

Answer:

368

Step-by-step explanation:

Answer:

x squared+ 4x + 4

Step-by-step explanation:

Answer:

[tex]78.54:314.16[/tex]

Step-by-step explanation:

First circle area with diameter 10 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 5^2[/tex]

[tex]=78.53981[/tex]

Second circle area with diameter 20 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 10^2[/tex]

[tex]=314.159265[/tex]

[tex]78.53981:314.159265[/tex]

Answer:

78.5 : 314.2

Step-by-step explanation:

Diameter of the first Circle = 10 inches

Diameter of the second Circle = 2(10) [TWICE] = 20 inches

So,

Area of the first circle:

Radius = 5 inches

Area = πr²

A = (3.14)(5)²

A = 78.5 inches²

Area of the second circle:

Radius = 10 inches

Area = πr²

Area = (3.14)(10)²

Area = 314. 2 inches

Now the ratio of the area of smaller circle to the larger circle is

78.5 : 314.2

Answer:

C. 210

Step-by-step explanation:

Plugging it in directly

30/14=2.14 (not an integer)

140/6=23.33 (not an integer)

210/6=35

210/10=21

210/14=15

all of the above result in integers, so the answer is C.

D is not even checked because it is larger than 210

Answer:the value is 20

Step-by-step explanation:

Answer:

1.2Litres

Question:

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?

Step-by-step explanation:

Let the total punch bowl be = P

Portion of Orange juice = ½ of total punch bowl

= ½ × P = P/2

Portion of grape = ½ of the remaining space

Remaining space = P - P/2 = P/2

Portion of grape = ½ × P/2 = P/4

The rest of the punch bowl is for cherry = 300mL

P/2 - P/4 = 300

(2P - P)/4 = 300

P/4 = 300

P = 300×4

P = 1200mL

1mL = 10^(-3)L

P = 1.2 ×10³ × 10^(-3)L

P = 1.2L

Wes made 1.2liters of fruit punch.

Answer:

43.6%

Step-by-step explanation:

curved surface area (green) is found by circumference multiply by height

[tex]\pi[/tex] x d x h = [tex]\pi[/tex] x (15 x 2) x 12 = 360[tex]\pi[/tex]

total surface area is

blue circle + total curved surface area (blue + green)

= [tex]\pi[/tex][tex]r^{2}[/tex] + 15(2)(8)[tex]\pi[/tex] + 360[tex]\pi[/tex]

= [tex]15^{2}[/tex][tex]\pi[/tex] + 240[tex]\pi[/tex] + 360[tex]\pi[/tex]

= 825[tex]\pi[/tex]

percentage = 360[tex]\pi[/tex]/825[tex]\pi[/tex] x 100%= 22/55 x 100% = 43.63

Answer:

I'm 13 so I'll be able to imagine this.

Step-by-step explanation:

-depression

-worry of afterlife

-insecurity

-increased fear of losing other family members

-untrust

-just general sadness

-feeling like it is your fault/blaming yourself

Answer:

The answer is 6.28.

Step-by-step explanation:

The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.

Answer:

Answer: upstream: 5.2= (x-y) 5

Downstream: 5.2= (x+y) 2.5

Step-by-step explanation:

The equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following problem -

Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )

We can write the equations for upstream and downstream motion for time [t] seconds as -

Upstream - (Opposing motion)

5.2 = (x - y) t

Downstream - (Supporting motion)

5.2= (x + y) (t/2)

Therefore, the equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

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Answer: Holy is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

Answer:

holly is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

Answer:

-9 ≤n ≤1

Step-by-step explanation:

-3 ≤ n+6 ≤ 7

Subtract 6 from all sides

-3  -6≤ n+6-6 ≤ 7-6

-9 ≤n ≤1

Answer:

14.

Step-by-step explanation:

Simplify:

f(x)-g(x)

3x^2+1 - (1-x)

3x^2+ x

Solve:

(f-g)(2)

3(2)^2 + 2= 3*4+2

= 14

Answer:

(1, 10) and (40, 0)

Step-by-step explanation:

Given expression 50x+150

inequality is

50x + 150y > 1500

it means that if we plug value of x and y from given option in  50x+150 then it should be greater than 1500.

lets check for all the option

(1,10)

50*1 + 150*10 = 50+1500 = 1550

Since , 1550 is greater than 1500, (1,10) is the solution for the inequality given

(10, 1)

50*10 + 150*1 = 500+ 150 = 650

Since , 650 is less than 1500, (10,1) is not the solution for the inequality given

(0, 10)

50*0 + 150*10 = 0 + 1500 = 1500

Since , 1500 is equal to 1500 but not greater than 1500, (0,10) is not the solution for the inequality given

(40, 0)

50*40 + 150*0 = 2000 + 0 = 2000

Since , 200 is greater than 1500, (40,0) is the solution for the inequality given above.

Thus, from the given option there are two solution for 50x + 150y > 1500

(1, 10) and (40, 0)

(1, 10) (40, 0) as the person above/below stated.

Answer:15m

Step-by-step explanation:

The volume of a cylinder= πr^2h

Radius=9m

Volume=3818

Height=?

3818=22/7 x 9^2 x h

26726=22 x 81 xh

26726=1782h

H = 14.9

Height= 15m

If there is something that is not clear, let me know

Replace y with 15

The equation is now:

1x - 15 = 30

Add 15 to both sides:

1x = 45

Divide both sides by 1

X = 45

Answer: X = 45

Step-by-step explanation:

1x - 15 = 30

add 15 to both sides

1x = 30 + 15

1x = 45

then you have to seperate the 1 from the x, so divide 1 from both sides

45 divided by 1 = 45

so the answer is x = 45

Answer: The second endpoint is  (2,6)

Step-by-step explanation:

[tex]\frac{-6 +x}{2}[/tex] = -2  solve for x  

-6 +x = -4

+6        +6

x= 2

[tex]\frac{-6+y}{2} = 0[/tex]  

-6 + y = 0

+6         +6

 y= 6

a

because it has the highest values from all the options from all the above

Answer:

85 square units

Step-by-step explanation:

The area of a kite is half of the product of the diagonals.

The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.

Now we need to find the length of the vertical diagonal.

The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.

Upper vertical segment:

a^2 + b^2 = c^2

5^2 + x^2 = [5sqrt(2)]^2

25 + x^2 = 50

x^2 = 25

x = 5

The upper segment of the vertical diagonal has length 5.

Lower vertical segment:

a^2 + b^2 = c^2

5^2 + x^2 = 13^2

25 + x^2 = 169

x^2 = 144

x = 12

The lower segment of the vertical diagonal has length 12.

The length of the vertical diagonal is the sum of the lengths of the two vertical segments:

5 + 12 = 17

The diagonals of the kite measure 1`0 and 17.

area = d1 * d2/2

area = 10 * 17/2 = 170/2 = 85

Answer:

y=(-4/5)x+4

Step-by-step explanation:

4x+5y=20

5y=-4x+20

y=(-4/5)x+4

Answer:

[tex]y=-\frac{4}{5}x +4[/tex]

Step-by-step explanation:

Recall that slope-intercept form is the following form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

To get an equation into slope-intercept form, we just need to solve for y.

We begin with the equation [tex]4x+5y=20[/tex]. With this, we can solve for y to get our answer.

[tex]4x+5y=20\\\\5y=-4x+20\\\\y=-\frac{4}{5}x +\frac{20}{5} \\\\y=-\frac{4}{5}x +4[/tex]

Answer:

x =0   x=7

Step-by-step explanation:

x^2 - 7x=0

Factor out an x

x(x-7) =0

Using the zero product property

x =0   x-7 =0

x =0   x=7