A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?

Answer:

16√3 cm²

Step-by-step explanation:

The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.

Let's consider one side of the triangle to be 'x'

Givent that, the perimeter is 24cm,

The equation should be x + x + x = 24

⇒3x = 24

∴ x = 8 cm

To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.

Since it is an equilateral triangle, all angles are exact 60°.

let's draw a line and mark it as 'h'.

we can use sine formula to find out the opposite i.e. h

sin∅ = opposite ÷ hypotaneous

sin 60° = h ÷ 8

h = 8 sin 60°

h= 4√3

Now, let's find the area

Area = 1/2 × base × height

Area = 1/2 × 8 × 4√3

area= 16√3 cm²

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

Answer:

what doesnt give the answer??

Step-by-step explanation:

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

y = 6

hope this helps!

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

0.2 or 2/9 in fraction form I believe.

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation:

Answer:

34b+51

Step-by-step explanation:

When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...

17(2b+3)​

34b+51

Because you can't tell what x is, this is the most simplifying you can do.

Hopefully this helped you out...have an amazing day :3

Answer:

I am pretty sure it is x>8 which is B.

Step-by-step explanation:

Answer:

He didn't expand properly.

This part: 4(1 + 3i)

Step-by-step explanation:

4(1 + 3i) - (8 - 5i)

Expand:

4 + 12i - 8 + 5i

-4 + 17i

Answer:

A on edge2020

Step-by-step explanation:

did the test

Answer:

m≤1

Step-by-step explanation:

Move the variable to the left,

m-5m≥-4

Collect like terms so you would have,

-4m≥-4

Then divide and switch the sign because you divided,

m≤1

Answer:

393

Step-by-step explanation:

Answer:

Step 1

Step-by-step explanation:

Answer:

1. 30

2. 0.83333333

3. 1.2

4. 30

Step-by-step explanation:

H is the only reasinable decimal

Answer: -12.4 + 9.2 = -3.2

4-2=2

9-12=3

Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.

Answer:

-3.2

Step-by-step explanation:

This is the longer explanation.

-12.4+9.2 let's start with the tenth values.

On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.

Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.

-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.

Answer:

$160.50

Step-by-step explanation:

You multiply $150 by .15 to find out what 15% of it  (10.50)

You add the values to get $160.50

10.5 is  the sales tax on clothing that costs $150

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

We need to find the the sales tax on clothing that costs $150

Convert 7% to the decimal value by dividing with 100.

7/100=0.07

Now multiply 0.07 with 150

0.07×150

Zero point zero seven times of one hundred and fifty.

10.5

Hence, 10.5 is  the sales tax on clothing that costs $150

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Answer:

y=1/10x -9

Step-by-step explanation:

slope intercept formula -  y=mx+b

Answer:

Step-by-step explanation:

A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.

The formula of a discriminant (Δ) of equation

[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]

We have the equation

[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]

substitute

[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]

subtract 64 from both sides

[tex]-16p=-64[/tex]

divide both sides by (-16)

[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

Answer: help plz

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm

Answer:

Step-by-step explanation:

Given the equation y = 2,5x

y is the height of the water

x is the time.

To get the range of values of the height at t = 60s, we will substitute x = 60 into the function

y = 2.5(60)

y = 150 in

Hence the range of the situation is [0, 150].

The domain will be all positive integers i.e xEZ

Answer:

y = 3x + 3

Step-by-step explanation:

Using slope intercept form: y = mx + b

where m is the slope(rise over run/change in y over change in x), and b is the y intercept(point where x is 0). We can derive the equation by simply using our mathmatical principles of slope and y intercept. Because our y intercept is where x is 0. Our y intercept is 3 since x is 0 when y is 3 because it touches the axis. Since y is 6 when x is one.

y = mx + b

6 = m(1) + 3

-3 -3

_________

3 = m

_________

m = 3

_________

An m of 3 means that you rise 3 every 1 run or 3y every 1x.

Therefore, our equation in slope intercept is:

y = 3x + 3

Answer:

Its -1. Do not call yourself dumb, though, negatives are the easiest subject

Step-by-step explanation: