can you help me solve for x.​

Answer:

x < 7

Step-by-step explanation:

-8x + 40> -16

Subtract 40 from each side

-8x + 40-40> -16-40

-8x >-56

Divide each side by -8, remembering to flip the inequality

-8x/-8 < -56/-8

x < 7

Answer:

8.5

Step-by-step explanation:

slope of the line that contains KL

(y2 - y1)/(x2-x1)

(0-1)/(7-3)

m = -1/4

slope of the line that contains JK

(5-1)/(4-3)

m = 4

the linea are perpendicular so triangle is right

area = (leg1 x leg2)/2

KL = [tex]\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}[/tex]

KJ = [tex]\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}[/tex]

area = (√17)^2/2 = 17/2 = 8.5

Answer:

0.05

Step-by-step explanation:

Because 1/5 divided by 4 gives you 0.05 or 1/20

Answer:

n = 20

Step-by-step explanation:

[tex]\frac{16}{40} = \frac{8}{n}[/tex]

Cross multiplication would result in:

16 * n = 8 * 40

16n = 320

n = 320 / 16

n = 20

Therefore the value of "n" in this proportion is 20.

Hope this helps!

Hi there!

[tex]\large\boxed{\text{System G.}}[/tex]

For a system to have an infinite number of solutions, both expressions must be equal. We can go through each system and determine this:

F:

x + 2 = y

4 = 2y - x

If we rearrange so that both are in the same format, we get:

x + 2 = y

x + 4 = 2y

These cannot be equal, so they do not have infinite solutions.

G:

2y + 6 = 4x

-3 = y - 2x

Rearrange:

2y + 6 = 4x

-y - 3 = -2x

We can try to make the bottom equation look like the top equation by multiplying all terms by -2. We get:

2y + 6 = 4x. This is the same as the top, so G has infinite solutions.

Just to be sure, we can go through the others:

H:

y + 3 = 2x

4x = 2y - 3

Rearrange:

y + 3 = 2x

2y - 3 = 4x. Cannot be equal to the other equation.

J:

y = 2x - 5

y = 2x - 2. Not equal.

The correct answer is G.

Answer:

[tex]14 \ 100 \1800[/tex]

Answer:

Step-by-step explanation:

Height= 1 foot

Radius= 1 foot

Density= 60 pounds per cubic foot

Density = mass/ volume

Vol of cone= 1/3× 22/7 ×(radius^2)

=1/3×22/7×1×1

=22/21

Mass=volume × density

= 22/21 × 60

=440/7

Energy = mgh

= 440/7 ×10 × 1

= 628.57 foot pounds

Answer:

(5,38)

Step-by-step explanation:

Use graphing calculator and the answer should be the point where the line crosses each other.

Answer:

5,38

Step-by-step explanation:

its correct!

Answer:

the answer is b

Step-by-step explanation:

Answer:

b: 78.5cm²

Step-by-step explanation:

answer is b my friend

Answer:

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Step-by-step explanation:

Requirement : 12 Ibs gold and 18 Ibs silver  to pay monthly rent

Mine 1 ; 2 Ibs of gold , 2Ibs of silver.

Mine 2; 1 Ib of gold , 3 Ibs of silver

using LP

Gold :  aX1  + bX2 ≥  12   ---------- ( 1 )

Silver:  cX1  + dX2 ≥  18  --------- ( 2 )

where; X1 = days spent in Mine 1

            X2 = days spent in Mine 2

Total days spent in mines : X1 + X2 =

a = Gold found in mine 1  = 2

b = Gold found in mine 2 = 1

c = silver found in mine 1 = 2

d = silver found in mine 2  = 3

Back to equations 1 and 2

2X1 +  X2   ≥  12 ----------- ( 3 )

2X1 + 3X2  ≥  18  ------------ ( 4 )

solving equations 3 and 4

= 0 +  2X2 ≥ 6  ∴ X2 ≥ 3 days  ( days spent in mine 2 )

Input value into ( 3)

2X1 ≥ 12 - 3 = 9

∴ X1 ≥ 4.5 days ( days spent in mine 1 )

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Answer:

B.

Step-by-step explanation:

The street sign is composed of two rectangles and 1 triangle.

Painted area = area of triangle + area of rectangle 1 + area of square

✔️Area of triangle = ½bh

b = 15 in.

h = 8 in.

Area of triangle = ½*15*8 = 60 in.²

✔️Area of rectangle 1 = L*W

L = 50 in.

W = 6 in.

Area = 50*6 = 300 in.²

✔️Area of Square = s²

s = 15 in.

Area = 15² = 255 in.²

✅Painted area = 60 + 300 + 225 = 585 in.²

Answer:

B. 585 square inches :)

Step-by-step explanation:

Answer:

x= -18

Step-by-step explanation:

x= -24 + 6

Add -24 and 6.

x= -18

Answer:

X = -18

Step-by-step explanation:

You want to isolate X by itself. To isolate X on one side of the = sign, use the addition property of equality (to undo the subtraction of 6 from x) by adding 6 to both sides of the equation. We use the addition property of equality because this is the inverse operation. It is important to add 6 to both sides of to maintain an equivalent equation.

1. Set up your equation

      X - 6  = -24

          +6     +6

2. Solve out

   X - 6  = -24

       +6     +6

       X    =  -18

Answer: -18

Answer: about 3 buses

Step-by-step explanation: 162+24=186 and 65*3=195 so 3 buses is enough

Hope this helps:)

Answer:

HL

Step-by-step explanation:

The two larger triangles shown in the diagram above each has a corresponding leg that is congruent to each other (BC = BC).

Also, we are given that the hypotenuse AC of one is congruent to the hypotenuse DB of the other.

This satisfy the Hypotenuse-Leg Congruence Theorem. Thus, the two larger triangles are congruent based on the HL Congruence Criterion which says two triangles are congruent if the leg and hypotenuse of one is congruent to the corresponding leg and hypotenuse of the other.

In other words, only choice A and choice D are false.

====================================================

Explanation:

An included angle is one between two given sides. Think of the angle sandwiched in between.

For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.

In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.

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

For choices D through F, we'll just take this logic in reverse.

The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.

Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.

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

Overall, we have four true statements and they are choices B, C, E and F.

Answer:

7.211

Step-by-step explanation:

I'm going to assume that's supposed to say (33, 5) to (37, -1)

Use the pythagorean theorem: a^2 + b^2 = c^2

"a" is going to be your difference in x values (37 - 33) = 4

"b" is going to be your difference in y values (5 - (-1)) = 6

4^2 + 6^2 = c^2

16 + 36 = c^2

52 = c^2

sqrt(52) = c

7.211 = c

Answer:

5%

Step-by-step explanation:

Amount of money that is discounted

= $15 - $14.25

$0.75

Percentage that needed to be discount

=(0.75/15) * 100%

= 5%

Thus, owner needs to discount 5% to discount his pizza from $15 to $14.25.

The white Christmas tree is 7.55m

Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m

High golden Christmas tree: 15.1m - 0.454m = 14.646m

The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m

Choose: A 37.296m

Answer:

Area = 18

Step-by-step explanation:

Trapezoid formula is Area = (a + b) * h/2

Area = 5 + 7 * 3/2

Area  = 18

Answer:

1;27

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

Total number of students surveyed = 300

From the table,

(Girl n apple) = 46

P(girl n apple) = 46 / 300 = 0.153

9514 1404 393

Answer:

  (b)  S = 15,210

Step-by-step explanation:

The common ratio is ...

  r = 1369/1521 ≈ 0.90

So, the sum is ...

  S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series

9514 1404 393

Answer:

  (b)  S = 15,210

Step-by-step explanation:

The common ratio is ...

  r = 1369/1521 ≈ 0.90

So, the sum is ...

  S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series

Answer:

L = x

W = 5x

P = 2 (L + W)

53 = 2(x + 5x)

53 = 2(6x)

53 = 12x

x = 4/5/12

L = 4/5/12

W = 22/1/12

Answer:

81

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

Answer:  90

Step-by-step explanation:

3 to the fourth power =  81

81 + 9 = 90

Answer:

Step-by-step explanation: