Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.

a. After four weeks, who has more money in their savings account? Explain how you know.

Answer:

The required inequality is [tex]40-6b\leq 10[/tex].

Jhon can buy at most 5 books.

Step-by-step explanation:

Consider the provided information.

Part(A)

Let b represent the number of books John buys.

He wants at least $10 in his savings account which means if we subtract the cost of books from $40 we have at least $10 left.

[tex]40-6b\leq 10[/tex]

The required inequality is [tex]40-6b\leq 10[/tex].

Part(B)

[tex]40-6b\leq 10[/tex]

[tex]-6b\leq 10-40[/tex]

[tex]b \leq\frac{30}{6}[/tex]

[tex]b\leq 5[/tex]

Part(C):  Jhon can buy at most 5 books.

Answer:

200

Step-by-step explanation:

200

Answer: 40 c

Step-by-step explanation:

Answer:

(going down rows starting on the left)

1. 3^12  2. 3^8  3. 3^2  4. 2^6  5. a^2  6. 2^8  7. a^7  8. 2^7  9. a^6  10. a^4  11. 3^4  12. 3^6  13. 2^5  14. 2^10  15. 3^7  16. a^5  17. 3^12  18.3^5  19. 2^9  20. a^10

Step-by-step explanation:

Simply add together the exponents

Answer:

1.8 weeks

Step-by-step explanation:

The number of weeks it takes for consuming the 3 gallons of milk is as follows:

It is given that the total of 10 gallons of milk drink for every 6 week i.e. 5 by 3

Now in order to determine the weeks we have to reciprocal the ratio i.e. 3 by 5

Now for 3 gallons it would be

[tex]= \frac{3}{5}\times 3[/tex]

= 1.8 weeks

Answer:

x= -1/3

Step-by-step explanation:

In the picture attached. if still doubting the answer, check by Substituing the value of x in the equation given.

The required solution to the given equation -3.1x + 7 - 7.4x = 1.5x - 6(x -3/2) is x = -1/3.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question:

-3.1x + 7 - 7.4x = 1.5x - 6(x -3/2)

Apply the distributive property of multiplication,

-3.1x + 7 - 7.4x = 1.5x - 6x  -3 × -3

-3.1x + 7 - 7.4x = 1.5x - 6x + 9

Rearrange the like-wise terms and apply the arithmetic operation,

-3.1x - 1.5x + 6x - 7.4x = -7 + 9

-6x = 2

x = -2/6

Apply the division operation,

x = -1/3

Thus, the required solution to the given equation -3.1x + 7 - 7.4x = 1.5x - 6(x -3/2) is x = -1/3.

Learn more about the equation here:

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Answer:

5 minutes or 1/12 of an hour.

Step-by-step explanation:

3/4 of an hour is 45 minutes.

2/3 of an hour is 40 minutes.

45-40 = 5 minutes or 1/12 of an hour.

Answer:

J=40º, K=60º, H=80º

Step-by-step explanation:

since all angles of a triangle add up to 180º, we can make an eqaution.

3x+2x+4x=180

9x=180

x=20

J=2x=20x2=40º

K=3x=20x3=60º

H=4x=20x4=80º

Answer:

b

Step-by-step explanation:

Answer:

8.2 cm

Step-by-step explanation:

[tex] \cos \: 47 \degree = \frac{h}{12} \\ \\ h = 12 \cos \:47 \degree \\ \\ h = 12 \times 0.6819983601 \\ \\ h = 8.18398032 \\ \\ h \approx \: 8.2 \: cm[/tex]

Answer:

(0,0) and (2,8)

Step-by-step explanation:

Answer:

Volume of B is 360 [tex]cm^{3}[/tex]

Step-by-step explanation:

It can be observed in the question that the dimensions of cylinder B are twice the dimensions of cylinder A, since both are similar.

Height of B = 2 x height of A

                   = 2 x 5

                   = 10 cm

cross sectional area of B = 2 x cross sectional area of A

                            = 2 x 18

                             = 36 [tex]cm^{2}[/tex]

Thus,

Volume of B = cross sectional area x height

                     = 36 x 10

                     = 360 [tex]cm^{3}[/tex]

Volume of B is 360 [tex]cm^{3}[/tex].

Answer:

8.2 cm

Step-by-step explanation:

[tex] \cos \: 47 \degree = \frac{h}{12} \\ \\ h = 12 \cos \:47 \degree \\ \\ h = 12 \times 0.6819983601 \\ \\ h = 8.18398032 \\ \\ h \approx \: 8.2 \: cm[/tex]

Answer:

y = 6x - 2

Step-by-step explanation:

Given that , A line's slope is 6, and its y-intercept is -2. And we need to write the equation in slope intercept form. We know slope intercept form as,

y = mx + C

Where ,

Hence here , on substituting the respective values , we have

⇒ y = mx + C

⇒ y = 6(x) + (-2)

⇒ y = 6x -2

Note :-

Answer:

i. Salesperson's commission = $27.225

ii. Amount for the store = $467.775

Step-by-step explanation:

The commission of the salesperson = [tex]5\frac12\%[/tex] of selling price

Price of a couch = $495

Salesperson's commission = [tex]5\frac12\%[/tex] of $495

                                             = [tex]\frac{11}{200}[/tex] x 495

                                             = 27.225

Salesperson's commission = $27.225

Amount that the store would get from the sale = selling price - commission

                                                 = $495 - $27.225

                                                 = $467.775

The store would get $467.775 from the sale of the couch.

Answer:

ee

Step-by-step explanation:

e

Answer:

3

Step-by-step explanation:

9514 1404 393

Answer:

  3, -1

Step-by-step explanation:

The slope formula is ...

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The values are shown filled in for y2 and y1. The green box is highlighting the location for x2, which the image shows is 3. When completed, the formula will be ...

  [tex]m=\dfrac{0-\,-2}{3-\,-1}[/tex]

The first blank shown is filled with x2 = 3.

The second blank shown is filled with x1 = -1.

9514 1404 393

Answer:

  254.0 cm³

Step-by-step explanation:

The formula for the volume of a sphere in terms of its radius is ...

  V = (4/3)πr³

Then the formula for the volume of a hemisphere in terms of its diameter is ...

  V = (1/2)(4/3)π(d/2)³ = (π/12)d³

The volume of the hemisphere is ...

  V = (π/12)(9.9 cm)³ ≈ 254.024 cm³

The volume is about 254.0 cm³.

Answer:

90%

Step-by-step explanation:

Answer: x= 3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

So the equation is 90=12x+54. You get x by itself. To do that you subtract 54 from 90. You get 36. Then you divide.

Answer:Ya <3

Step-by-step explanation:

Answer:

The equation of the parabola is (x - 4)² = -16(y - 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where

∵ The focus of the parabola is (4, -3)

∵ The focus is (h, k + p)

∴ h = 4

∴ k + p = -3 ⇒ (1)

∵ It has a directrix of y = 5

∵ The directrix of the parabola is y = k - p

∴ k - p = 5 ⇒ (2)

→ Add equations (1) and (2) to find k and p

∵ (k + k) + (p - p) = (-3 + 5)

∴ 2k + 0 = 2

∴ 2k = 2

→ Divide both sides by 2

∴ k = 1

→ Substitute the value of k in equation (1)

∵ 1 + p = -3

→ Subtract 1 from both sides

∴ 1 - 1 + p = -3 - 1

∴ p = -4

∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)

→ Substitute the values of h, k, p in it

∴ (x - 4)² = 4(-4)(y - 1)

∴ (x - 4)² = -16(y - 1)

∴ The equation of the parabola is (x - 4)² = -16(y - 1)

Answer:

Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square. Similarly 28 should be multiplied to 784 to make it a perfect cube.

Step-by-step explanation:

112 = 2⁴ * 7.

Next power after 2⁴ with a cube power = 2⁶.

Next power after 7 with a cube power = 7³.

Therefore k = 2² * 7² = 196.

A)  2/3....

edited answer

B). 3/10

Answer:

6t = c

Step-by-step explanation:

If there are six chairs per table, you need to find how many tables there are, after that, then you can find how many chairs you need.

Answer:

45+36c

Step-by-step explanation:

I'm not sure what u mean But i think they want u to distrubte the -9 to others

So -9*-5 is 45 and then -9*-4c is 36c so 45+36c

hoped that helped

Answer:

fishy camera

Step-by-step explanation:

most distance in feet from surface

The fish camera is furthest from the surface of the water.

Answer: x equals 10x + 10

you have 78 as ur answerrr

Answer:

Step-by-step explanation:

14/3=[tex]4\frac{2}{3}[/tex]

Hope this helps :)

Step-by-step explanation:

dy = the change in y-values = 1–4 = –3

dx = the change in x-values = 3–8 = –5

m = Dy/Dx = (–3)/(–5)

m = ⅗

Answer:

maybe 95?

Step-by-step explanation:

Answer:

B or A but mainly B

Step-by-step explanation: