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vagabundo [1.1K]
4 years ago
13

Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x re

present the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail?
Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
6 0
90-10y=5x should be the usable equation.
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Answer:

x = 4

Step-by-step explanation:

1. 8x+1 = 33 and the 4x together

2. 8x = 32 subtract 1 from each side

3. x = 4 Divide both sides by 8

6 0
3 years ago
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Find the volume and surface area of a sphere with radius 1 yards. Round your answer to two decimal places.
olga55 [171]

Answer:

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere up to two decimal places  =12.56 square yards

Step-by-step explanation:

Given:

The radius of the sphere= 1 yard

Volume of a Sphere:

                        \frac{4}{3}* \pi *r^3                                                         :\pi =\frac{22}{7} =3.14

               =\frac{4}{3}*3.14*1*1*1

               =4.187 cubic yards

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere= 4*\pi* r^2

                                           =4*3.14*1*1

Surface area of the sphere up to two decimal places  =12.56 square yards

8 0
4 years ago
Keith won a cash prize in an art competition. He gave his mother 2/5 of the money he won. Of the remainder, 1/4 was given to his
USPshnik [31]

Answer:

300 dollars

Step-by-step explanation:

Let the original amount = x

x - 2/5x  was what his mother's share looked.

5/5 x - 2/5 x

3/5x is what is left.

3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers

3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15

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3/5 x 5/60 = 15

15 / 300 * x = 15

1/20  x = 15

x = 15 * 20

x = 300

7 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures 7√2 units. what is the length of one leg of the triangle
Leto [7]
7 because a(one side)= 1/sqrt2 * hypotenuse (7*sqrt2) THis equals 7
8 0
3 years ago
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What is the value of the remainder if 10x4 – 6x3 + 5x2 – x + 1 is divided by x – 3?
natita [175]

Answer:

Remainder is 691.

Step-by-step explanation:

Given function is 10x^4-6x^3+5x^2-x+1.

Now we need to find remainder if we divide given function 10x^4-6x^3+5x^2-x+1 by (x-3)

(x-3) means plug x=3 into 10x^4-6x^3+5x^2-x+1 to find remainder.

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=856-162-3

=856-165

=691

Hence remainder is 691.

8 0
3 years ago
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