Simone raced 280 km from Perry to Medford and then idled back. If the round trip took 7 hours, what was Simone's average speed in km/hr?

Answer:

[tex]M = 1.75[/tex] --- Movies

[tex]V = 5.5[/tex] --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

[tex]2M + 3V = 20[/tex]

The next month, the expression is:

[tex]6M + 5V = 38[/tex]

Required

Find M and V

We have:

[tex]2M + 3V = 20[/tex] --- (1)

[tex]6M + 5V = 38[/tex] --- (2)

Multiply (1) by 3.

3 * [tex]2M + 3V = 20[/tex]

[tex]6M + 9V = 60[/tex] --- (3)

Subtract (1) from (3)

[tex]6M + 9V = 60[/tex]

- [tex]6M + 5V = 38[/tex]

-------------------------

[tex]6M - 6M + 9V - 5V = 60 -38[/tex]

[tex]4V = 22[/tex]

Divide by 4

[tex]V = 5.5[/tex]

Substitute 5.5 for V in (1)

[tex]2M + 3V = 20[/tex]

[tex]2M + 3 * 5,5 = 20[/tex]

[tex]2M + 16.5= 20[/tex]

Subtract 16.5 from both sides

[tex]2M = 3.5[/tex]

Divide by 2

[tex]M = 1.75[/tex]

Answer:

The regular bottle holds 9 fl oz of sun screen

Step-by-step explanation:

75% of 12 = 9

Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

Answer:

Step-by-step explanation:

Equal installments can be found by

I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)

I=4300((1.00958-1)/(1.00958^60-1)+0.00958)

I=$94.56

Answer:

0.16 I think............

Answer:

0.16666666666

Answer:

Common difference is 55

Step-by-step explanation:

C(m)=55m

Substitute m=1 to find the distance traveled by Mia in one hour

55m= 55(1)

= 55

Distance traveled in one hour is 55 miles. Substitute m=2 to find the distance traveled by Mia in 2 hours

55m=55(2)

= 110

Distance traveled in 2 hours is 110 miles. Substitute m=3 to find the distance traveled by Mia in 3 hours

55m=55(3)

= 165

Distance traveled in 3 hours is 165 miles. Substitute m=4 to find the distance traveled by Mia in 4 hours

55m=55(4)

=  220

Distance traveled in 4 hours is 220 miles. Then the common difference is

d=110-55=165-110=220-165=55

Answer:

126 minutes

Step-by-step explanation:

17.12 - 2 = 15.12

15.12 divided by 0.12 = 126 min

Answer:

x = 26degrees

Step-by-step explanation:

The sum of all angles in any triangle is 180degrees. The given figure is a triangle, therefore, one can apply this property to the given triangle. Form an equation using this given information,

(2x) + (3x) + (50) = 180

Simplify,

5x + 50 = 180

Inverse operations,

5x + 50 = 180

    -50      -50

5x = 130

/5     /5

x = 26

Answer:

vebjsjjssjvtjkskskkskskkkk

Step-by-step explanation:

yzuduudjizjdayayay ayayay ayayay

Answer:

-7333/4400

Step-by-step explanation:

Answer:

[tex](d)[/tex] [tex]5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}[/tex]

Step-by-step explanation:

Given

[tex]5^{8.13}[/tex]

Required

Select an equivalent expression

[tex]5^{8.13}[/tex]

Simplify the power

[tex]5^{8.13} = 5^{8 + 0.1 + 0.03}[/tex]

Apply law of indices:

[tex]5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}[/tex]

Express decimal as fractions

[tex]5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}[/tex]

Answer:3980

Step-by-step explanation:

Answer:

10.25%

Step-by-step explanation:

imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%

Hope this is correct :) I'm rly not sure now

Answer:

10%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

the y axis

Hello!

For this type of problem, it is very helpful to draw your problem out, but I'll attempt to explain it in words, feel free to draw it out if you are able to!

You'll be solving this problem using trigonometry, meaning that we'll be creating a triangle to represent this problem.

If you are standing approximately 400 feet above the ground, that means the vertical leg of the triangle will be the value 400.

We are also given that the Amway Center is approximately 15840 feet away, meaning that the leg on the bottom will be a value of 15840.

This triangle will also create a right angle at the intersection of the two legs mentioned above, meaning that right triangle trigonometry can be applied to this problem.

What trigonometry identity can be used to find the angle of depression when we are given the adjacent and opposite legs? (SOH-CAH-TOA)

We'll be using tangent.

[tex]tan(x)=\frac{15840}{400}[/tex]

Remember to set your calculator to the degrees mode and take the inverse tangent of the ratio.

[tex]x=88.553[/tex]

To convert from 15840 feet to miles, use the conversion 5280 feet to miles.

[tex]15840ft*\frac{1mi}{5280ft}=3mi[/tex]

Hope this helps!

Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, A triangle has sides with lengths 8, 15, and 17.

1) Checking for Pythagorean triples;

17² = 289

8²+15² = 225+64 = 289 = 17²

∴ 17² = 8²+15²

Since, they are following the Pythagoras theorem so, they are  Pythagorean triples.

2) Calculating the acute angles:-  [please refer to attached figure]

Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,

sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)

∠ C = sin⁻¹(15/17)

∠ C = 61.92°

∠ A = 90°-61.92°

∠ A = 28.08°

Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

For more references on Pythagorean Triple, click;

https://brainly.com/question/15190643

#SPJ5

Answer:

OK I will dot this after getting 10 followers

Answer:

deez

Step-by-step explanation:

Answer:

y = -1/3x - 5

Step-by-step explanation:

x + 3y = -15

-x            -x

3y = -x - 15

/3        /3

y = -1/3x - 5

Answer:

2.7

Step-by-step explanation:

322/7=46

46*125=2.71739

round off

2.7

Answer:

8

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle.

[tex](4x + 2) \degree = \frac{1}{2} \{(22x + 14) \degree - 122 \degree) \} \\ \\2 (4x + 2) \degree = \{(22x + 14) \degree - 122 \degree) \} \\ \\ (8x + 4) \degree = (22x + 14 - 122) \degree \\ \\ (8x + 4) \degree = (22x - 108) \degree \\ \\8x + 4 = 22x - 108 \\ \\ 4 + 108 = 22x - 8x \\ \\ 112 = 14x \\ \\ x = \frac{112}{14} \\ \\ x = 8[/tex]

Answer:

7

2n + 3n + 4n. = 63

9n = 63

n = 63/9

n = 7

hope it helps

Answer:

n=7

Step-by-step explanation:

add 2n+3n+4n, which gives 9n =63

Divide by 9 on both sides, 9n/9 =63/9

n=7

If you need to confirm that's the right answer, just plug 7 back as n

2(7)+3(7)+4(7)=63

14+21+28 =63

63=63

Answer:

y=-5x-12

Step-by-step explanation:

8=20-12

y=-5x-12

Answer:

y-8= -5 (x-4)

Step-by-step explanation:

got it right

Answer:

We need to know how many tournaments to answer this question

Step-by-step explanation:

Answer:

74 is already in the simplest form. It can be written as 1.75 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2a-21 / b

2(4)-21/3

8-7=1

Answer:

1

Step-by-step explanation:

(FIRST THING FIRST REMEMBER PEMDAS)

First you rewrite the number sentence with the clues you got.

2 x 4 - 21 / 3

Then you do 2x4 to get 8, then you rewrite the # sentence again

8 - 21 / 3

Next you divide 21 / 3 to get 7 and rewrite the sentence again

8-7

FINALLY you subtract 8-7 to get 1

Step-by-step explanation:

A watch seller gained 20% by selling a watch for 1260.If he had to gain 30%,at what price should have he sold it?

Dalton III

Answered December 12, 2020

I shall explain the solution to this problem using rudimentary concepts.

First, we need to determine the original price of the watch.

Convert the percentage profit to a decimal by dividing by 100. In this problem, the profit is 20%, so we would divide:

20100=0.2

Add 1 to the profit expressed as a decimal.

1+0.2=1.2

Divide the price after the profit has been added by the figure which we have calculated to find the price before the profit (we shall assume that the currency used in this problem is the pound sterling)

£12601.2=£1050

Now that we have determined the original price of the watch, we shall determine at what price should the seller sell this watch in order to obtain a 30% gain. The same formula is used for the first two steps.

Convert the intended percentage profit to a decimal by dividing by 100. In this problem, the intended profit is 30%, so we would divide:

30100=0.3

Add 1 to the intended profit expressed as a decimal.

1+0.3=1.3

Now, instead of dividing, we would want to multiply the original price with the figure 1.3

£1050⋅1.3=£1365

So, in order to gain a profit of 30%, the watch seller should sell the watch at a price of £1365