Bob swam a total of 250
meters on Monday and
Tuesday. On Tuesday, the
number of meters he swam
was 30 less than 3 times the
amount he swam on
Monday. How many meters
did Bob swim on Monday?

Answer:

The price per share of the stock is 22.04. If the total value decreases by 6% the price becomes 20.71.

Step-by-step explanation:

440.80/20= 22.04

100-6= 94%

0.94 x 440.80= 414.35

414.35/20= 20.71

Answer:

B. r = 3√(3V - 4π)

Step-by-step explanation:

volume of a sphere,V = 4/3πr³

Solve for r

V = 4/3πr³

V - 4/3π = r³

r³ = V - 4π/3

Cross product

r³ = V*3 - 4π

r³ = 3V - 4π

Find the cube root of both sides

3√r³ = 3√(3V - 4π)

r = 3√(3V - 4π)

Answer:

Step-by-step explanation:

cone: attached picture below

composite shape: To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes.

ratio: not sure about that question sorry

last question: i have no idea what it is about because my device won't open the picture sorry

though i have answered 2 question of yours

have a great evening

Answer:

Surface area:

Scale factor

Area is a function of two dimensions, each has k applied

Option C

Volume of prism:

Volume of pyramid:

Option A, same volume

Ratio of areas:

Scale factor is:

Answer:

x>−9

Step-by-step explanation:

Hope this helps.

Answer:

The answer is r = 6a / (5m² - 1).

Step-by-step explanation:

The steps are :

[tex]m = \sqrt{ \frac{6a + r}{5r} } [/tex]

[tex] {m}^{2} = \frac{6a + r}{5r} [/tex]

[tex]5r {m}^{2} = 6a + r[/tex]

[tex]5r {m}^{2} - r = 6a[/tex]

[tex]r(5 {m}^{2} - 1) = 6a[/tex]

[tex]r = \frac{6a}{5 {m}^{2} - 1 } [/tex]

Answer:

r = [tex]\frac{6a}{5m^2-1}[/tex]

Step-by-step explanation:

Given

m = [tex]\sqrt{\frac{6a+r}{5r} }[/tex] ( square both sides )

m² = [tex]\frac{6a+r}{5r}[/tex] ( multiply both sides by 5r )

5rm² = 6a + r ( subtract r from both sides )

5rm² - r = 6a ← factor out r from each term on the left side

r(5m² - 1) = 6a ← divide both sides by (5m² - 1)

r = [tex]\frac{6a}{5m^2-1}[/tex]

Answer:

1) Who wear: 2:5

Whi don't wear: 3:5

2) 10 don't wear spectacles

3) 25

Hope it helps!!!

Answer:

144πfeets² ; 339.6 cm² ; 2461.8 cm² ; 1962.5 square centimeters

Step-by-step explanation:

Area of a circle, A = πr²

1.)

with a Radius of 12 feets

A = π * 12² = 144πfeets²

2.)

Approximate area :

3.14 * 10.4² = 339.6224 feet²

3.)

with a Radius of 28 cm

A = 3.14 * 28² = 2461.76cm²= 2461.8 cm²

4.

Diameter = 50 cm ; Radius = 50/2 = 25

with a Radius of 25 centimeter

A = 3.14 * 25² = 1962.5 cm²

Answer:

(4, 3 )

Step-by-step explanation:

Given the 2 equations

x + 3y = 13 → (1)

5x + 6y = 38 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 2x - 6y = - 26 → (3)

Add (2) and (3) term by term to eliminate y

3x + 0 = 12

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

4 + 3y = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is (4, 3 )

Answer:

160 pieces of gum in 20 days.

Step-by-step explanation:

First we have to find the number of gum she chewed in a day. To do this divide 112 and 14. We got 8. Then multiply the number of gum she chewed in  a day (8) by the number of days (20).

8 x 20 = 160

She chewed 160 pieces of gum in 20 days.

Hope this helps!!

Have a good day!!

Answer:

x=2

Step-by-step explanation:

Distribute the 7 across the 2x and 3:

[tex](7)(2x)-3(7)=7[/tex]

[tex]14x-21=7[/tex]

Isolate the x term by adding 21 on both sides:

[tex]14x=28[/tex]

Isolate x by dividing by 14 on both sides:

[tex]\frac{14x}{14}=\frac{28}{14}[/tex]

[tex]x=2[/tex]

If this helped, brainliest answer would be greatly appreciated!

Answer:

Exact Form:

-18√2

Decimal Form:

-25.45584412

Answer: i don,t know sorry but i wish you the best of luck

Step-by-step explanation:

Answer:

do the math

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

180-148=32

12=32-x/2

32-x=24

x=8

Answer:

1235674895

Step-by-step explanation8

Answer:

G.C.F is 6

Step-by-step explanation:

Hope this helps.

Answer:

6

Step-by-step explanation:

Answer:  x = (log(y) /(400 log1.0065) or x = log(initial cost)/1.126

Step-by-step explanation:  Take the log of both sides of your equation:

log(y) = log(400)(1.0065)^x

log (y) = log 400 + log(1.0065)^x

Subtract log(400) from both sides:

log(y) - log 400 = xlog(1.0065)

Divide both sides by log(1.0065)

[log(y) - log(400)]/log(1.0065) = x

Now, if you want to know how many years it will take for the guitar to be worth $200, replace y with 200 and solve.

Answer:

48%

Step-by-step explanation:

100/25= 4

so

12×4/ 25×4 = 48/ 100 = 0.48

0.48 ×100 = 48%

Answer:

Where are the following expressions?

Step-by-step explanation:

Answer:

-2w-1 ???

Step-by-step explanation:

i dont fully understand whats happening here  hope this can help

Answer:

1) -2w - 1  

2) 8(4k+3)

Step-by-step explanation:

attached below!!

I hope im right!!

Answer: 2 week and 2 days

Step-by-step explanation:

Given

Melody spent 16 days in South America

A week consists of 7 days

In 2 weeks it is, 14 days

So, 16 days is equivalent to 2 weeks and 2 days

Melody spent 2 weeks and 2 days in South America

Answer:1 ton is 32,000 ounces so 3 tons is 96000 ounces + 400 = 96,400 ounces total

Hope this helps :)

Answer:

14508 if I'm wrong I'm sorry

Answer:

Step-by-step explanation:

Given,

Marks of the four exams = 65, 80, 76, 68

Let the mark for the fifth exam be = x

Mean of the five exams = 70

Therefore,

By the problem,

[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]

[tex] = > \frac{289 + x}{5} = 70[/tex]

=> 289 + x = 70 × 5

=> 289 + x = 350

=> x = 350 - 289

=> x = 61

Hence,

Marks of the fifth exam is 61 (Ans)

Answer:

35 units

Step-by-step explanation:

edg

Answer:

a) The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex], Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Step-by-step explanation:

a) Foci are located in the major axis of the ellipse, given the locations of ends of the major axis and locations of the foci. We can determine the location of the center of the ellipse by Midpoint formula:

[tex](h,k) = \frac{1}{2}\cdot F_{1}(x,y) + \frac{1}{2}\cdot F_{2} (x,y)[/tex] (1)

Where [tex]F_{1} (x,y)[/tex] and [tex]F_{2} (x,y)[/tex] are the locations of the foci.

If we know that [tex]F_{1}(x,y) = (4, -6-5\sqrt{2})[/tex] and [tex]F_{2} (x,y) = (4,-6+5\sqrt{2})[/tex], then the location of the center of the ellipse is:

[tex](h,k) = (4, -6)[/tex]

The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) Now we need to determine the length of each semiaxis:

Major semiaxis ([tex]a[/tex])

[tex]a = \sqrt{[V_{2}(x,y)-(h,k)]\,\bullet\,[V_{2}(x,y)-(h,k)]}[/tex] (2)

[tex]V_{2}(x,y)-(h,k) = (4,3)-(4,-6)[/tex]

[tex]V_{2}(x,y) - (h,k) = (0, 9)[/tex]

[tex]a = 9[/tex]

Please notice that [tex]V_{2}(x,y)[/tex] is one of the vertices of the ellipse in the major axis.

Distance between focus and center ([tex]c[/tex])

[tex]c = \sqrt{[F_{2}(x,y)-(h,k)]\,\bullet\,[F_{2}(x,y)-(h,k)]}[/tex]

[tex]F_{2}(x,y) -(h,k) = (4-4,-6+5\sqrt{2}+6)[/tex]

[tex]F_{2}(x,y) - (h,k) = (0, 5\sqrt{2})[/tex]

[tex]c = 5\sqrt{2}[/tex]

Minor semiaxis ([tex]b[/tex])

[tex]c^{2} = a^{2}-b^{2}[/tex] (3)

[tex]b = \sqrt{a^{2}-c^{2}}[/tex]

If we know that [tex]a = 9[/tex] and [tex]c = 5\sqrt{2}[/tex], then the length of the minor semiaxis is:

[tex]b = \sqrt{31}[/tex]

In this case, the standard equation of the ellipse is defined by this formula:

[tex]\frac{(x-h)^{2}}{b^{2}}+\frac{(y-k)^{2}}{a^{2}} = 1[/tex]

If we know that [tex]a = 9[/tex], [tex]b = \sqrt{31}[/tex] and [tex](h,k) = (4, -6)[/tex], then the standard equation of the ellipse is:

[tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex]

The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) The lengths of the axes are, respectively:

Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex]

Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Answer:

a) The location of the center of the ellipse is . It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is .

c) Major semiaxis (): , Minor semiaxis ():

Step-by-step explanation: