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nlexa [21]
3 years ago
7

Three friends each have some ribbon. Carol has 42 inches of riribbon, Tino has 2.5 feet of ribbon, and Baxter has 1.5 yards of r

ibbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
Mathematics
1 answer:
borishaifa [10]3 years ago
4 0
It should be 126in 10.5ft and 3.5 yards. First convert to inches then divide by 12 for feet then divide by 3 for yards.
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Can someone answer this question please?
Anna007 [38]

Answer:

For more than 35 miles company A will charge less than company B

Step-by-step explanation:

Let us write the equation of the cost of each company

Company A:

∵ Company A charges $96 for unlimited mileage

∴ The cost of company A = 96

Company B:

∵ Company B charges an initial fee of $75

∵ It charges $0.6 for every mile driven

∵ The number of miles is m

- Multiply m by 0.6 and add 75 to the product

∴ The cost of company B = 75 + 0.6 m

∵ Company A will charge less than company b

∴ 96 < 75 + 0.6 m

- Subtract 75 from both sides

∴ 21 < 0.6 m

- Divide both sides by 0.6

∴ 35 < m

- That means m is greater than 35

∴ m > 35

For more than 35 miles company A will charge less than company B

7 0
3 years ago
Write the equation of the ellipse with center (4,2), vertex (9,2), and focus (4+2sqrt5,2)
dangina [55]

Answer : option B

Given: center (4,2), vertex (9,2), and focus (4+2sqrt5,2)

The distance between vertex and center is 9-4 = 5

Center is (h,k) so h= 4  and k =2

focus is (h+c,k)

From the given focus (4+2sqrt5,2), c= 2sqrt(5)

Standard form of equation is

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

h= 4, k=2, a=5, c=2sqrt(5), we need to find out b

c^2 = a^2 - b^2

b^2 = a^2 - c^2

b^2 = 5^2 - (2\sqrt{5})^2

b^2 = 25 - 20

b^2 = 5

plug in all the values

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

\frac{(x-4)^2}{25} + \frac{(y-2)^2}{5}=1

Option B is correct

7 0
3 years ago
How to write a binomial expression in standard form that has a degree of 4
dimaraw [331]

(x+a)^4 = ^4C_0 x^4 + ^4C_1 x^{4-1} a + ^4C_2x^{4-2}a^2 + ^4C_3x^{4-3}a^3 + ^4C_4x^{4-4}a^4

= x^4 + 4x^3a + 6x^2a^2 + 4xa^3 + a^4

5 0
4 years ago
ENCHI
BabaBlast [244]

Given :

A T.V. is measure by its diagonal.

To Find :

If the height of a 60 inch  T.V. is 32 inches, what is the width.

Solution :

We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .

Let, width of T.V. is x.

Applying Pythagoras theorem in sides, we get :

height^2 + width^2 = hypotenuse^2\\\\23^2 + x^2 = 60^2\\\\x = \sqrt{3600 -529 }\\\\x = 55.42 \ inches

Therefore, width of T.V. is 55.42 inches.

7 0
3 years ago
AP statistics:<br><br> What is the easiest way to understand sample size?
Sveta_85 [38]

Answer:

Step-by-step explanation:

za/2: Divide the confidence interval by two, and look that area up in the z-table: .95 / 2 = 0.475. ...

E (margin of error): Divide the given width by 2. 6% / 2. ...

: use the given percentage. 41% = 0.41. ...

: subtract. from 1.

8 0
3 years ago
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