If c varies directly as l and inversely as a, then which of the equations describe the relation among the three variables c, l and a?
A. c = k/al
B. c = kl/a
C. 1/c = ka/l
D. c = ka/l

Answer:

1. 99.33

2. 96

Answer:

The slope of the line would be a. 0.

Answer:

im bad at math but i would guess the asnswer is 0.    :)

Step-by-step explanation:

Answer:

[tex]2x + 20 = 60 \\ 2x = 60 - 20 \\ 2x = 40 \\ x = \frac{40}{2} \\ x = 20[/tex]

option three, I think

[tex]3 \sqrt[3]{4} [/tex]

Answer:

A = 65deg

B = 78deg

Step-by-step explanation:

It's a triangle, so we know that the sum of angles is 180deg

x + (2x - 9) + (2x + 4) = 180

5x - 5 = 180

5x = 185

x = 37

Measure of angle A = (2*37 - 9)deg = 65deg

Measure of angle B = (2*37 + 4)deg = 78deg

Answer:

127.3

Step-by-step explanation:

​

T≈127.333≈127.3

∘

Answer:

60

Step-by-step explanation:

Because there are 4 different trim levels, 5 different colors, and 3 different interiors, you have to multiply 4 x 5 x 3.

4 x 5 x 3= 60

Answer:

Step-by-step explanation:

f there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14

Answer:

You graph each equation, then you find the intercepting point. the location of that point is the answer. You can also do it in equation form.

Answer:

[tex]BC = 84[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find BC

The sum of [tex]angles\ at\ a\ point[/tex] is 360.

So:

[tex]7n + 12 + 13n - 16 + 6n = 360[/tex]

Collect like terms

[tex]7n + 13n + 6n = 360 + 16 - 12[/tex]

[tex]26n = 364[/tex]

Solve for n

[tex]n = 364/26[/tex]

[tex]n = 14[/tex]

From the circle:

[tex]BC = 6n[/tex]

Substitute 14 for n

[tex]BC = 6*14[/tex]

[tex]BC = 84[/tex]

Answer:

Step-by-step explanation:

8x + 38 = -3(-6 - 4x)

8x + 38 = -3(-4x - 6)

8x + 38 = -3 (-4x - 6)

8x + 38 = 12x + 18

8x +38 = 12x + 18

8x + 38 - 38 = 12x + 18 - 38

8x + 38 - 38 = 12x + 18 - 38

8x = 12x + 18 - 38

8x= 12x - 20

8x = 12x - 20

8x - 12x = 12x - 20 - 12x

8x - 12x = 12x - 20 - 12x

-4x = 12x - 20 -12x

-4x = 12x - 20 -12x

-4x = - 20

-4x = -20

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

X = 5

Answer:

I think the answer is 28, which you can find by multiplying 4 by 14 and dividing it by 2.

Answer:

r can be any number so would it not be:

r + 0.2 ≤ 0.7

Step-by-step explanation:

This should not be too hard but I haven't done inequalities in a long time. So this might or not be the answer.

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

Explanation:

LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.

In short, we only have half the info needed for LA, so we must cross choice A off the list.

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

HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.

Similar to choice A, we don't know anything about the acute angles either.

Those two facts mean we must cross off choice B.

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

AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.

Cross choice C off the list.

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

We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.

The congruent sides are

That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.

So that's why choice D is the only answer.

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

Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.

Answer: m = 3.3 mol·58.326 mol = 192 g

Step-by-step explanation: molar mass of substance is

M= (24.31+ 2·1.008 + 2·16) g/mol = 58.326 g/ mol.

Amount of substance n = m/M and mass m = n·M

Answer:

2

Step-by-step explanation:

1 Subtract 66 from both sides.

2x=10-6

2x=10−6

2 Simplify  10-610−6  to  44.

2x=4

2x=4

3 Divide both sides by 22.

x=\frac{4}{2}

x=  

2

4

​  

4 Simplify  \frac{4}{2}  

2

4

​  

  to  22.

x=2

x=2

Done

2x+22=18

We move all terms to the left:

2x+22-(18)=0

We add all the numbers together, and all the variables

2x+4=0

We move all terms containing x to the left, all other terms to the right

2x=-4

x=-4/2

x=-2

Answer:

x = 3/2

Step-by-step explanation:

7/3 = (x + 2)/x

7x = 3(x + 2)

7x = 3x + 6

4x = 6

x = 6/4 = 3/2

There, someone helped you.  Now could you do it alone next time?

Answer:

27

Step-by-step explanation:

3^2=9

2^3=8

9×8=72

9×4=36

72+36=108

108÷2^2

2^2=4

108÷4=27

hoped this helped you!

we have y≥2x-2 ------> inequality A

The inequality A is the solid red line in the graph the solution of the inequality A is the shaded area above the solid red line x+4y≥?------> inequality B The inequality B is the solid blue line in the graph the solution of the inequality B is the shaded area above the solid blue line we know that the point (0,-3) lie on the line of the inequality B. substitute the values of x and y in the equation of the line

x+4y=c

0+4*(-3)=c

c=-12

so the answer is -12

The system of linear inequalities is:

y > 2x – 2 and x + 4y > -12.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥  

We have,

When x = 0, y = 2(0) – 2 = -2.

So the point (0, -2) is on the line.

When x = 2, y = 2(2) – 2 = 2.

So point (2, 2) is on the line.

Plotting these two points and drawing a line through them gives us the graph of y = 2x – 2.

Next, let's graph x + 4y = -12 by solving for y:

x + 4y = -12

4y = -x - 12

y = (-1/4)x - 3

Again, we can plot two points on the line.

When x = 0, y = -3, giving us the point (0, -3).

When x = -4, y = -2, giving us the point (-4, -2).

Plotting these points and drawing a line through them gives us the graph of x + 4y = -12.

Thus,

The solution to the system of inequalities is the shaded region where the two graphs intersect and y > 2x – 2.

This region is shown in the attached image.

Learn more about inequalities here:

https://brainly.com/question/20383699

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Answer: The mode is greater than 7.

Step-by-step explanation:

The time in minutes are given as 9, 15, 5, 7, 9, 12, 11, 4. We can arrange them in ascending order and this will be:

= 4, 5, 7, 9, 9, 11, 12, 15

Mean = (4 + 5 + 7 + 9 + 9 + 11 + 12 + 15) / 8 = 9

Median = 9+9/2 = 18/2 = 9

Mode = 9

Range = 15 - 4 = 11

Therefore, the true statement are:

D. The mode is greater than 7.

The area of the trapezoid formula can be solved for the variable h as,

h = 2A / (b1 + b2)

Given the formula to find the area of the trapezoid.

A = 1/2 (b1 + b2) h

Here A is the area, h is the height and b1 and b2 are the bases of the trapezoid.

We have to get an equation for formula in h.

That is, we need to isolate h alone on one side and the other terms and variables on other side.

Multiplying whole equation with 2,

2A = (b1 + b2) h

Dividing whole by (b1 + b2),

h = 2A / (b1 + b2)

Hence the required equation is h = 2A / (b1 + b2).

To learn more about Formula here :

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Answer:

21

Step-by-step explanation:

It landed on 4 and 5 about 37% of the time with 240 rolls. So since 60 is 1/4 of 240, we just divided the number of times it landed on 4 and 5 by 4. So since it landed on 4 or 5 84 times, we divide 84 by 4

84 ÷ 4 = 21

So the number of times the cube will land on 4 or 5 is 21

Answer:

a+ 96

Step-by-step explanation:

A= (1/2*18 + 1/2*6) *8

A= (9 + 3) * 8

A= 12 * 8

A= 96

Answer:

B would be your answer worked for me.

Step-by-step explanation:

Answer: 108.83 yd²

Step-by-step explanation:

First find height.

Use trigonometric ratios:

sin85 = h/9.5

h = 9.5sin85 = 9.46 yd

Use the following formula:

A = [tex]\frac{1}{2}[/tex]bh

A = [tex]\frac{1}{2}[/tex] (23)(9.46)

A = 108.83 yd²

Answer:

Step-by-step explanation:

5(6-3)=6+13 -simplify

30-15=6+13

15=19

x doesnt equal 6

5(x-3)=x+13

5x-15=x+13

4x=28

x=7

4x=28

4(7)=28

28=28

Answer:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Step-by-step explanation:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Answer:

the chances of her picking a yellow one is 6 in 35

Step-by-step explanation: