Graph the Inequality.

Answer:

x = 9

Step-by-step explanation:

2 - x= -7

Subtract 2 from each side

2- 2 - x= -7-2

-x = -9

Multiply by -1 on each side

x = 9

Answer:

the root is 2 . thus, the correct graph is graph 2

Answer:

1,485.26

Step-by-step explanation:

100% is 1442

1% is 14.42

10% is 144.2

9% is 10 - 1 so its 129.78

1442 add 129.78 is 1 571.78

5% is  72.1

so add 72.1 and 14.42 86.52 and take it from 1571.78

answer is 1,485.26

Answer:

I usually explain even in the answer.

So we use som[tex]\sqrt{x}[/tex]ething called distance formula which is branched of Pythagorean theorem.

But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.

The vertical is 1, you can find them by calculating how long is it and how tall.

Use pythogorean theorem from the formula and do 5^2+1^2 = c^2

25+1 = 26, so the answer is √26

I am pretty sure answer is right. Always take abolute value

√26

Answer:

The operations done first are:

a)  42 (17 – 15) / (3 + 1) – 5 ; (17 -15) or (3 + 1) (parenthesis) are done first

b)  42 (17 – 15) / (3 + 1) – 5 ; 7 × 2 (multiplication) is done first

Step-by-step explanation:

from the mnemonic PEDMAS, the order of operations are: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

hence in the first expression : 42 (17 – 15) / (3 + 1) – 5, the parenthesis (bracket is simplified first as follows:

(17 - 15) = (2) ;  and (3 + 1) = (4) ;  hence the expression will be simplified as follows: 42 (2) / (4) - 5.

Next, since there is no exponent in the expression, Multiplication follows:

42 (2) = 42 × 2 = 84 ; hence he expression becomes: 84 / 4 - 5

Next division follows : 84/4 = 21, therefore the expression becomes

21 - 5.

Finally, subtraction follows : 21 - 5 = 16

b)  5 + 7 x 2 - 9;

first, multiplication is done: 7 × 2 = 14, hence the expression becomes :

5 + 14 - 9.

Next in the order is addition : 5 + 14 = 19, hence, the expression becomes:

19 - 9.

Finally, subtraction follows: 19 - 9 = 10

Answer:

multiply

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I had that same answer. I did it with my teacher and he said it was b

Answer:

angle ABE and DBC

Step-by-step explanation:

They are both greater than 90 degrees

<ABE & <DBC

obtuse angle: more than 90 degrees and less than 180 degrees

Answer:

google

Step-by-step explanation:

Step-by-steP

LA FÓRMULA ES:

arc = πrΘ/180

Answer:

most probably A part 1 by 12 . and i think it's also . d part 1 by 3

Answer:

the 11th term

Step-by-step explanation:

f(n) = 9+ 5n;

Let f(n) =64

64 = 9+5n

Subtract 9 from each side

64-9 = 9+5n-9

55 = 5n

Divide each side by 5

55/5 = 5n/5

11= n

Answer:

z is any real number

Step-by-step explanation:

2.5(2z + 5) = 5(z + 2.5)

Distribute

5z + 12.5 = 5z +12.5

Subtract 5z from each side

5z -5z + 12.5 = 5z-5z +12.5

12.5 = 12.5

This is always true so z can be any real number

Answer:

All Real Numbers

Step-by-step explanation:

We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),

[tex]2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers[/tex]

Solution; All Real Numbers

Answer:

AC= 6.3 units (nearest tenth)

BC= 2.8 units (nearest tenth)

∠C= 64°

Step-by-step explanation:

Please see attached picture for full solution.

Answer:14:28:98

Step-by-step explanation:

To divide a value by a ratio, we first find the total number of parts:

1+2+7 = 10

Then, we divide the value by the number of parts and multiply it by the number of parts in each section of the ratio:

140 divided by 10 = 14.

Part 1: 14 x 1 = 14

Part 2: 14 x 2 = 28

Part 3: 14 x 7 = 98

Answer:

a). Area = 54 square units

b). Perimeter = 33.7 units

Step-by-step explanation:

Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).

(a). Area of the triangle ABC = [tex]\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})][/tex] (Absolute value)

By substituting the values from the given vertices,

Area = [tex]\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)][/tex]

        = [tex]\frac{1}{2}[-36+0-72][/tex]

        = [tex]\frac{1}{2}(-108)[/tex]

        = (-54) unit²

Therefore, absolute value of the area = 54 square units

(b). Distance between two vertices (a, b) and (c, d)

        d = [tex]\sqrt{(a-c)^{2}+(b-d)^2}[/tex]

     AB = [tex]\sqrt{(-4-1)^{2}+(-2-7)^{2}}[/tex]

           = [tex]\sqrt{106}[/tex]

           = 10.295 units

     BC = [tex]\sqrt{(1-8)^2+(7+2)^2}[/tex]

           = [tex]\sqrt{130}[/tex]

           = 11.402 units

     AC = [tex]\sqrt{(-4-8)^2+(-2+2)^2}[/tex]

           = 12 units

     Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12

                                                                          = 33.697

                                                                          ≈ 33.7 units

can you please rotate the picture

Answer:

Step-by-step explanation:

Weren't there possible answer choices from which to choose?  If so, please share them.

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.

Answer:

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

Step-by-step explanation:

Answer:

1,45 cubic units

Step-by-step explanation:

The method of cylindrical shells demands that the volume of the solid is given by:

[tex]V=2\pi\int_a^b xf(x)dx[/tex]       (1)

In this case you have that f(x) is:

[tex]f(x)=cos(\frac{\pi}{2}x)[/tex]

a = 0

b = 1

First, you solve the integral, by parts:

[tex]\int xf(x)dx=\int xcos(\frac{\pi}{2}x)dx=x(\frac{2}{\pi})sin(\frac{\pi}{2}x)-\int (\frac{2}{\pi})sin(\frac{\pi}{2}x)dx\\\\=(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)+C[/tex]

Next, you calculate the volume of the solid, by replacing the solution to the integral in the equation (1):

[tex]V=2\pi[(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)]_0^1\\\\V=2\pi[(\frac{2}{\pi})-(\frac{2}{\pi})^2]=1,45u^3[/tex]

hence, the volume of the solid generated is 1,45 cubic units

Answer:

a) 7a/8; b) 5a/8  

Step-by-step explanation:

Given:

AP = 2PQ = 2QB

Calculations:

1. A to the midpoint of QB

        a = AP + PQ + QB

If 2PQ = 2QB.

    PQ = QB and

    AP = 2PQ

∴      a = 2PQ + 2PQ = 4PQ

    PQ = a/4

    AP = 2PQ = a/2

Let M be the midpoint of QB.

AM = AP + PQ + QM

     = a/2 + a/4 + a/8

     = 7a/8

2. Midpoints of AP and QB

Let N be the midpoint of AP

NM = NP + PQ + QM

      = a/4 +a/4 + a/8 =

      = 5a/8

Answer:

8 ejercicios

Step-by-step explanation:

De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:

x+y= 45 (1)

7x-1y= 19 (2)

x= ejercicios que resolvió bien

y= ejercicios que resolvió mal

Primero, puedes despejar x en (1):

x= 45-y (3)

Segundo, debes reemplazar (3) en (2):

7(45-y)-1y=19

315-7y-1y= 19

315-8y= 19

315-19= 8y

296= 8y

y= 296/8

y= 37

Tercero, debes reemplazar el valor de y en (3) para encontrar x:

x= 45-37

x= 8

De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.

it would be a Line  

The line would be vertical right through the middle

can i get brainliest?

Answer:

When Jeff travels more than 20 miles

Step-by-step explanation:

Let 'x' be the number of miles traveled by Jeff.

In order for the national car company to be less expensive, then the following condition must be met:

[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]

This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.

Answer:

The skirt was originally 24 dollars

Step-by-step explanation:

3/4 ( b+s) = 31.50  

where b is the original price of the blouse and s is the original price of the skirt

b = 18

3/4 ( 18+s) = 31.50  

Multiply each side by 4/3

4/3 * 3/4 ( 18+s) = 31.50  *4/3

18+s =42

Subtract 18 from each side

18+s-18 = 42-18

s =24

The skirt was originally 24 dollars

Answer:

$5.96

Step-by-step explanation:

To find 12% of 49.65 you multiply 49.65*0.12 (decimal equivalent of 12%) = 5.958. Since it's money, you need to round to the nearest cent.

Answer:

0.04

Step-by-step explanation:

Answer:0.04

Step-by-step explanation:4/100

Answer:

d = 0.0175n    ---> required equation

Billy can buy 285.714 gram nut with $5

Step-by-step explanation:

cost of 100g loose nut = $1.75

dividing LHS and RHS by 100

cost of 100/100g loose nut = $1.75

Thus, cost of 1 gm loose nut = $0.0175

let the weight of loose nut be n gm

Multiplying LHS and RHS by n

cost of x g loose nut = $0.0175*n =  $0.0175n

It is given that Billy spent d dollars to buy n gm nuts

thus,

d = 0.0175n    ---> required equation

________________________________________________

He spent $5 to buy nuts

substituting value of d as 5 we have

0.0175n = 5

=>n = 5/0.0175 = 285.714

Thus, Billy can buy 285.714 gram nut with $5.

Answer: 110 yards

Step-by-step explanation:

From the question, the distance from the shovel to the treasure chest is

60 yards while the distance from the treasure chest to the boat is 50 yards. We are to calculate the distance from the boat from the shovel.

The distance from the boat from the shovel will be the addition of the distance from the shovel to the treasure chest which is 60 yards with the distance from the treasure chest to the boat is 50 yards.

= 60 yards + 50 yards

= 110 yards

A wheel is a circle.

Given diameter of wheel = 2.8 m

Then radius of the wheel = 2.8/2 = 1.4 m

Now we know that , circumference of circle =[tex]2\pi r[/tex]

Circumference of wheel = 2 × 22/7 × 1.4

Circumference of wheel = 8.8 m

From the above we can conclude that ;

1 revolution = 8.8 m

x revolution = 484 km = 484000 m

[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]

Answer:

13

Step-by-step explanation:

1/3 of 6 1/2 multiply by 3/4 (56 divided by 7)  

1/3* 13/2 * 3/4 * 56/7= 1*13*3*56/3*2*4*7= 13*3*56/3*56= 13