1/5(30+a)>5
Solve the inequality

Answer:

19 < x < 67

Step-by-step explanation:

triangle inequality theorem:

x + 24 > 43

43 + 24 > x

The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,

⇒ 19 < x < 67

Any triangle which is a three sided polygon, and, has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The lengths of two sides of a triangle are,

⇒ 24 inches

And,  43 inches.

Hence, The range of the possible lengths, in inches, for the third side, x, of this triangle is find as;

⇒ 43 - 24 < x < 43 + 24

⇒ 19 < x < 67

Therefore, The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,

⇒ 19 < x < 67

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Answer:

a) x=3

b) z=10

c) P= 2

d) X=7

e) U=1

Step-by-step explanation:

Resolver una ecuación consiste en hallar los valores de la variable que hacen cierta la igualdad.

a) 2x= 6

El coeficiente es el número junto a la variable. En este caso, el coeficiente es 2. Para eliminar este número en la expresión 2x, debido a que la variable x esta multiplicada por 2, deberás dividir ambos lados de la ecuación entre 2, debido a que la operación opuesta de la multiplicación es la división.

(2x)÷2=6÷2

x= 3

Comprobar la solución de una ecuación se hace al remplazar la variable en una ecuación con el valor de la solución. La solución debería satisfacer la ecuación cuando se ingresa en esta.

En este caso:

2*3= 6

6=6

b) 10 + z= 20

En este caso se debe sumar o restar la constante que se encuentra acompañando a la variable en ambos lados de la ecuación de manera de aislar el término de la variable. En este caso:

10 - 10 + z= 20 -10

z= 10

Comprobación:

10 + z=20

10 + 10=20

20=20

c) P + 9= 11

P +9 - 9= 11 -9

P=2

Comprobación:

2 + 9= 11

11=11

d) 3X + 8 = 29

En este caso, se suma o resta la constante en ambos lados de la ecuación y luego se elimina el coeficiente de la variable mediante la división o multiplicación. Esto es:

3X + 8 - 8= 29 - 8

3X= 21

3X ÷3= 21÷3

X=7

Comprobación:

3*7 + 8=29

21+8=29

29=29

e) 2U + 8= 10

2U + 8 - 8= 10 -8

2U= 2

2U ÷2= 2÷2

U=1

Comprobación:

2*1 + 8= 10

2 + 8= 10

10=10

Answer:

Ratio that would go in box b.

ratio=16:36

Ratio that would go in box c.

is =64:216

Ratio that would go in box d.

is=2:7

This can be found by 8:343 which represents 2³:7³

Means D denotes to exponent

3-D ratio falls under c

So

ratio on box c is

#4

Ratio on box D is 2:7 (Found at top)

#5

Box f is under 2-D

2²:7²

For box b

the ratio is

Answer:

11 grams

Step-by-step explanation:

First convert 20,000 mg to grams = 20 g

Add the amount of fiber she ate so

4+5=9

subtract that from the total

20-9= 11

Answer:

11 more grams of fiber

Step-by-step explanation:

So in one gram there are 1,000 mg, so you do 20,000 ÷ 1,000 to get that the recommended amount of fiber is 20g. We also know that she had 4 + 5 grams of fiber which is 9, so we do 20 - 9 to get 11. Therefore she needs to have 11 more grams of fiber.

Answer:

x= 5

Step-by-step explanation:

11^3 • 11^2 = 11^5

hope this helped :)

Answer:

x=1

Step-by-step explanation:

Answer:

10/12

Hope it helps.

Answer:

22

Step-by-step explanation:

if you look closely VW looks like two SU

so 11 × 2 = 22

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Answer:

Volume of composit figure= 4834.14 cm^3

Step-by-step explanation:

here's your solution

=> Radius of hemisphere = 9 cm

==> volume of hemisphere = 2/3πr^3

==> volume of hemisphere = 2/3*22/7* 9^3

==> volume = 1526.04 cm^3

=> Radius of cylinder = 9 cm

=> Height of cylinder = 13 cm

==> volume of cylinder = πr^2h

==> volume of cylinder = 22/7*9^2*13

==> volume of cylinder = 3,308.1 cm^3

Volume of composit figure = 1526.04 + 3308.1

= 4834.14 cm^3

hope it helps

Answer: x=133

Step-by-step explanation:

This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).

You first add up all your side:

150+130+97+120+90 +x = 587 + x

587+x = 720

x=133

Answer:

1: AAS, RQC 2: ASA, SRP

Step-by-step explanation:

(1) We are shown that two angles and one side are congruent in the order of AAS. Make sure you write the letters in terms of the corresponding angles. The angles and sides are congruent because the problem labels it for us. For example, B,A,C=R,Q,S. Answers: AAS, RQC.

(2) We are shown that two angles and one side are congruent in the order of ASA. Make sure you write the letters in terms of the corresponding angles again. For example, P,Q,R=P,S,R. The angles are congruent because the problem labels it for us. Side PR is congruent to side PR by reflexive property. Answers: ASA, SRP.

I hope this helped :) Good luck

Answer:

This is irrational. Pretty much anything with pi is irrational.

Step-by-step explanation:

Pi is irrational, so this irrational as well.

Answer:

The number π is an irrational number, so it cannot be expressed as a fraction. Since π is irrational, it follows that π/2 is also irrational.

Answer:

h = 9 cm.

Step-by-step explanation:

V = kBh   where k is the constant of variation.

From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

60 = 1/3 20h

20h = 60 * 3 = 180

h = 180 /20 = 9.

Answer:

C

Step-by-step explanation:

14x4=56 and 26x2=52 so with process of elimination you get C

Answer:

M = 21.n =19

That should do

Answer:

I don't know what the options are, but my equation is (1/4) * n = 9

Step-by-step explanation:

n yards

Each strip = 1/4 yard

9 bracelets made

9 = (1/4) * n

Answer:

Yes, the function is quadratic.

Step-by-step explanation:

Yes , it is quadratic because of its coordinates

Answer:

Non - linear as for it is not a straight line.

Step-by-step explanation:

To the second power it would make a curve not straight line.

Answer:

Do you mean y = (x-6)^2? If yes, it is NONLINEAR FRACTION

Step-by-step explanation:

If you graph it, it forms a parabola so it is considered as nonlinear fraction/function

Answer:

-15

Step-by-step explanation:

Answer:

On -15.

Step-by-step explanation:

So, the common difference seems to be 5.

Therefore, the point before -5 will be -10 and the point before -10 is -15.

Answer:

d

Step-by-step explanation:

x and y= 2

2*2+4*2=12

3*2+6*2=18

i think

Answer:

58,928.6 rotations

Step-by-step explanation:

2.2 in x (2.54cm/in) x (1m/100cm)= .056 m/circumference

3300m/(.056m/rotation) = 58,928.6 rotations

Answer: 2

Step-by-step explanation:

1+1=2

Answer:

63

Step-by-step explanation:

Sum of all the angles of a triangle is 180

so 70+47+X=180

X= 180-117

X=63

Answer:

the answer is 11.7

Step-by-step explanation:

Answer:

As

1 gallon =4.5 l

1.2 gallon=5.4l

34/5.4 = no of trips

no of trips=6.29

so she can make 6 complete trips

I hope it helps

Answer:

(a) 6.01 (b) 57.33

Step-by-step explanation:

(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)

=> DF² = 244 - 240 · cos(30°)

=> DF² = 36.154

=> DF = √36.154

=> DF ≈ 6.01

(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]

=> sin (B) = sin (63) × 12.4 ÷ 12.8

=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)

=> B = 59.67355245

180 - 63 - 59.67355245 ≈ 57.33

Law of cosines & sines:

Answer:

-0.6

Step-by-step explanation:

-0.85-(-1/4)+0.4+(-2/5)

=-0.85+0.25+0.4-0.4

=-0.6

Answer:

This is true

Step-by-step explanation:

The fractions are just switched around.

Answer:

if he is traveling 24 miles in an hour his average speed is going to be 24mph.

Answer:

Hello There!

Step-by-step explanation:

Your answer is:

if this helps please give me a thanks!!

- abakugosimp

Answer:

-9/4 = x

Step-by-step explanation:

4 is the same as 4/1

this problem is a proportion which can be solved by cross-multiplying:

7 = 4(x+4)

7 = 4x + 16

-9 = 4x

-9/4 = x