3⋅2^x/5=150 Which of the following is the solution of the equation?

Answer:  (Sorry for not wording it correctly I had to reword it)

Step-by-step explanation: Let R be the current age of Rita. Let S be the current age of her son.

Rita is twice as old as her son.

=> R = 2S

In 4 years, R will be 4 times as old as S was 9 years ago

=> R + 4 = 4 (S - 9)

Solve for R, and S:

=> R + 4 = 4 (S - 9)

=> (2S) + 4 = 4(S - 9)

=> 2S + 4 = 4S - 36

=> 2S - 4S = -36 - 4

=> -2S = -40

=> S = 20

Find R:

=> R = 2S

=> R = 2(20)

=> R = 40

Therefore, Rita is 40, her son is 20.

Answer:

47 people

Explanation:

58 - 6 + 4 -16 + 7 = 47

Answer:

(1, -1)

Step-by-step explanation:

Given the expression

x+y = 0 .....1

y = x²+2xy ....2

From equation 1, x = -y

Substitute into 3

y = x²+2xy

y = (-y)²+2(-y)y

y = y²-2y²

y = -y²

1 = -y

y = -1

Since x = -y

x = -(-1)

x = 1

Hence the required solution is (1, -1)

Answer:

(-6, 4)

Step-by-step explanation:

Given the coordinate points (-3,1). If The point (-3,1) is moved 3 places in the negative y direction and 2 places in the positive x direction the required coordinate will be expressed ss;

X' = (-3-3, 1+3)

X = (-6, 4)

Hence the resulting coordinate will be at:(-6, 4)

Answer:

y = 4

Step-by-step explanation:

Answer:

150 minutes ! 60/4 multiplied by 10!

Step-by-step explanation:

Answer:

Step-by-step explanation:To find out how long it takes her to sell one box you see how many times 4 can go into 60 to get how long it takes to sell one box. So in this case it takes 15 minutes to sell one box. So you take 15 and multiply it by 10. 15 * 10= 150

60/4=15

15*10=150

So it takes 150 minutes to sell 10 boxes of cookies.

Answer:

2

Answer:

Solution given:

relationship between base and hypotenuse is given by sin angle

sin angle =b/h

cos55=16/x

x=16/cos55°=27.89=28 is your answer .

Answer:

the number represent the opposite of E is 3

Answer:

B

Step-by-step explanation:

1) find the base area

base area = side^2 = 30^2 = 900 m^2

2) find the Volume

V = (base area x height)/3 = (900 x 21)/3 = 6300 m^3

Answer:

B) 6,300 m³

Step-by-step explanation:

The volume of approximate = L×W×H/3

30×30×21/3=

answer: 6,300

[tex]**************[/tex]

hope it helps...

have a great day!!

Answer:

317.55

Step-by-step explanation:

87% = 87/100 so

(87*365)/100 = 317.55

Answer: 12 fourths

Step-by-step explanation: I cant drawa picture but i would suggest drawing 3 squares and drw a cross across each to make 12 squares all together

Answer:

can you show more?

Step-by-step explanation:

Answer: 3 times

Step-by-step explanation:

9514 1404 393

Answer:

  A.  201 cm³

Step-by-step explanation:

To find the volume, we need to know the length of the prism and the area of the triangular base.

We can find the area of the triangular base a couple of ways. Since we are given some angles, the convenient way will be to make use of those angles.

The triangular base is isosceles. For our purpose, we assume that means AB = BC. If we define point M as the midpoint of AC, then triangle BMC is a right triangle with a base of (9 cm/2) = 4.5 cm.

The side BC can be found from the trig relation ...

  cos(∠BCA) = CM/BC

  BC = CM/cos(∠BCA) = (4.5 cm)/cos(50°) ≈ 7.00

Then the area of the end triangle ABC is ...

  base area = (1/2)(AC)(BC)sin(50°)

  base area = (1/2)(9 cm)(7 cm)sin(50°) ≈ 24.133 cm²

__

The length CF can be found from the relation ...

  tan(40°) = EF/CF

  CF = EF/tan(40°) = (7.00 cm)/tan(40°) ≈ 8.343 cm

Then the volume of the prism is ...

  V = Bh

  V = (24.133 cm²)(8.343 cm) ≈ 201 cm³

The volume of this isosceles triangular prism is about 201 cm³.

Answer:

A. 201 cm³ is the answer.

Step-by-step explanation:

Answer:

0 dots = 10

1 dot = 1, 2, 3, 9

2 dots = 0, 4, 5, 7, 8, 11

3 dots = none

4 dots = 6

A person babysits for about 6 hours each week. The graph has one single peak at the center (6) and is a bell shaped distribution. The peak at 6 shows that there is a high number of data points in that area of the graph, meaning it is the typical number of hours for babysitters to babysit.

Answer:

its 30

Step-by-step explanation:

Answer:

The is asking to choose among the following choices that cannot describe a system of linear equations and base on the choices, I would say that the correct answer among them is in letter B. exactly two solution, I hope you are satisfied with my answer and feel free to ask for more.

Answer:

Step-by-step explanation:

Parallel lines have same slope.

Use the given point and point-slope form:

Correct choice is D

Answer:

Step-by-step explanation:

 3x - (3x) - 2 = 3x + 3x - 2    {Combine like terms}

                       = 6x - 2    

I-100I + 3x - [-4x] = 100 + 3x + 4x

                            = 100 + 7x

I -100 I  means absolute value of 100 = 100

Answer:

The answer would be C The high the number of miles a car has driven, the less gasoline is left in the tank

Answer:

A

Step-by-step explanation:

13 + 4 = 17

so A

Step-by-step explanation:

Side AB is Adj

Side BC is OPP

Side AC is HYP

Apply sine function.

[tex] \sin(x) = \frac{4}{13} [/tex]

Take the inverse of sine.

[tex] \sin {}^{ - 1} ( \frac{4}{13} ) = 17[/tex]

Answer:

R(x, y) = (x, -y)

Step-by-step explanation:

When we have a reflection across some line, the distance between the original point and the reflected point to the line is invariant.

For a reflection around the x-axis, the x-value is invariant, then the only value that can change is the y-value.

So if we have a point like (4, 7)

Which is at a distance of 7 units to the x-axis, the only other point that is also at a distance of 7 units to the x-axis that has the same x-value is (4, -7)

Here we already can see the rule.

If we have a point (x, y), the reflection across the x-axis gives us the point (x. -y)

Then we can write this reflection as a function in the next way:

R(x, y) = (x, -y)

This means that if the input is the point (x, y), the output is the point (x, -y)

Answer:

17) m = 35; n = 110

18) b = 90; c = 80; d = 100

Step-by-step explanation:

17)

2m = 70

m = 35

n + 70 + 70 + n = 360

2n + 140 = 360

2n = 220

n = 110

18)

b - 10 + b + 10 = 180

2b = 180

b = 90

b - 10 = c

90 - 10 = c

c = 80

b + 10 = d

90 + 10 = d

d = 100

Answer:

5

Step-by-step explanation:

d = 5

For:

(X1, Y1) = (3, 7)

(X2, Y2) = (8, 7)

Distance Equation Solution:

d=(8−3)2+(7−7)2−−−−−−−−−−−−−−−√d=(8−3)2+(7−7)2

d=(5)2+(0)2−−−−−−−−−√d=(5)2+(0)2

d=25+0−−−−−√d=25+0

d=2–√5d=25

d=5

Answer:

5 units

Step-by-step explanation:

It is 5 units because when you plot (3,7) you have to move 5 units to the right.

Answer:

[tex]648\sqrt{6}[/tex]π

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]π(9√6)³

=[tex]\frac{4}{3}[/tex]π81*6*√6

=(486*[tex]\frac{4}{3}[/tex])√6π

=648√6π

Answer:

um, I checked the questions you asked and we have the same questions, I think we might be in the same school lol

There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The mass of a gold atom is 3.29 x 10⁻²² grams.

And, The mass of a helium-4 atom is, 6.65 x 10⁻²⁴ grams.

Hence, The amount of greater is the mass of a gold atom than the mass of a helium-4 atom is,

⇒ 3.29 x 10⁻²² /  6.65 x 10⁻²⁴

⇒ 0.49 x 10²

⇒ 4.9 x 10³

Thus, There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

278 inches squared

Answer: 409

Step-by-step explanation:

67x6+(35÷5)

402+7= 409

Answer:

409

Step-by-step explanation:

all u do is do 35 divided by 5 which =7

then you do 67 times 6 which = 402

then you do 402 + 7 which = 409