resolute academy algebra 1

Answer:

1/3 of the day

Step-by-step explanation:

8/24 simplifies to 1/3

Hello there, there are multiple ways of solving this problem, let me show you.

[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]

A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?

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For this problem I will show you 2 methods.

[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]

Cross multiplication, cross multiplication involves algebra to use.

Let x be our answer for this problem. Here is our it would look like

[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.

[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.

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[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]

For method two we can look for the unit rate. Also known as our rate for one.

divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.

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[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]

360 miles in 15 hours.

Answer:

10/4 per day (2.5 words simplified)

10/3 days he wrote so far (around 3 days simplified)

so in order to find out how much he wrote in total multiply the two numbers together

2.5 x 3 = around 7.5 or 8 words

Answer:

210,000 units

Step-by-step explanation:

Let d represent each day

Let p represent amount paid

p = 10000x

If paid for 3 full weeks.

3 weeks is  3x7 =21 days so:

p = 10000x

p = 10000(21)

p = 210000 units

Answer:

210,000

Step-by-step explanation:

10,000x(3x7)

10,000x21=210,000

Answer:

i think the answer is 45 mins sorry if im wrong

Answer: 18 outcomes

Step-by-step explanation:

For the small:

pan+cheese

or

pan+pepperoni

or

thin + cheese

or

thin + pepporoni

or

hand + cheese

or

hand + pepperoni

which is 6 outcomes

then 6x3(because of the sizes) is 18.

Answer:

y= -1/4x + 2

Step-by-step explanation:

so basicly find the slope first which is "m"

to do that do rise/run or do y2-y1/x2-x1

rise over un in this case is -1/4

slope is negative so its -1/4 = m

that find y intercept which is "b"

in this case its 2

then put it in formula

y=mx+b

y= -1/4x + 2

Answer:

  6.32 units

Step-by-step explanation:

The line shown can be considered to be the hypotenuse of a right triangle that has side lengths of 2 and 6. These values can be found by counting the vertical and horizontal numbers of grid squares between the two end points.

The Pythagorean theorem is used to find the length of the hypotenuse. It tells you the square of the hypotenuse is equal to the sum of the squares of the sides:

  AB² = 2² +6²

  AB² = 4 + 36 = 40

Taking the square root, you find ...

  AB = √40 ≈ 6.32456

__

We want to round this value to the nearest hundredth, so we look at the thousandths digit to see whether to round up. That digit is 4, so we simply delete all the digits to the right of the hundredths place.

Line AB is 6.32 units long.

[tex](5^6)^0 \\\\=5^0\\\\=1[/tex]

Answer:

17

Step-by-step explanation:

substitute t = - 9 into f(t) , that is

f(- 9) = - 2(- 9) - 1 = 18 - 1 = 17

Answer:

The error is that 2 should have been added to both sides, 7 = x

Step-by-step explanation:

Answer:

15:40

Step-by-step explanation:

Answer:

-

Step-by-step explanation:

Answer:

  Y = 62°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  W + X + Y = 180°

  (4n -9°) + (7n -16°) +(6n -16°) = 180°

  17n -41° = 180° . . . . . . . . . . simplify

  17n = 221° . . . . . . . . . . add 41°

  n = 13° . . . . . . . . . . divide by 17

Then the measure of Y is ...

  Y = 6n -16° = 6(13°) -16° = 78° -16°

  Y = 62°

_____

The other angles are W = 43°, X = 75°.

Angles of a triangle adds to 180° .

=> W + X + Y = 180°

=> (4n-9°) + (7n-16°) + (6n-16°) = 180°

=> 17n-41° = 180°

=> 17n = 180° + 41°

=> 17n = 221°

=> n = 221/17

=> n = 13°

=> 6n-16° = 6(13°) -16° = 62°

Y = 62°

Answer:

5-8

Step-by-step explanation:

6.5-1.5 = 5

6.5+1.5= 8

Answer:

3. Option No. 2:  

6x + 2y = 22

3x + 3y = 18

4. Option No. 2:

$2.50

Step by step explanation:

4. 6x + 2y = 22  

 (3x + 3y = 18) * 2

- Negate

6x + 2y = 22

6x + 6y = 36

2y - 6y = 22 - 36

-4y = -14

y = -14/-4

y = 3.5

An order of onion rings = $3.50

- Substitute to find for x

6x + 2(3.5) = 22

6x + 7 = 22

6x = 22 - 7

6x = 15

x = 15/6

x = 2.5

An order of French fries = $2.50

Answer:

Step-by-step explanation: The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form.

Answer:

1. 4x = 15

2. 4(n - 3) = 24

3. 2n + 5 = 13

4. (3/4)n = 9

5. 6x - 4 = 8

Step-by-step explanation:

this should be correct. hope this helps!

Answer:

27$

Step-by-step explanation:

I do not know what you mean by tt hours, but I can create an equation for the problem

Y=3x+12

Essentially, every X hours he spends in the lot you add 3$, but you start off with 12$. Please mark this brainliest or thank it.

Answer:

im 11  and

Step-by-step explanation:

i just need points i have -32

Step-by-step explanation:

x/5 - 74 = 26

x/5 = 26 + 74

x/5 = 100

x = 100 x 5

x = 500

What Pic or Figure Lol

Answer:

3/4 or 0.75

Step-by-step explanation:

When dividing- quotient- fractions, remember keep, change, flip

Keep- keep the first fraction

Change- change the division sign into a multiplication sign

Flip- flip the second fraction

So your problem really is:

[tex]\frac{1}{6} *\frac{9}{2}[/tex]

Which is: 9/12 or 3/4

Answer:

a 17, b 10, c 15, d 20

Step-by-step explanation:

a^2+b^2=c^2

64+225 = 289

a = 17

36+64 = 100

b = 10

81+144 = 225

c = 15

256+144 = 20

Hope that helps