20pt:

A car goes up a steep 1 mile long hill and he averages 15MPH. If going back down is also 1 mile long, is it possible to average 30MPH for the entire 2 mile drive? If yes, how fast must you go down the 1 mile hill?

Note: This almost stumped Einstein!

Answer:

\( 1.12 \times {10}^{10} \\ \)

Step-by-step explanation:

\((2.8 \times {10}^{4}) \times (4 \times {10}^{5} ) \\ 2.8 \times 4 \times {10}^{4 + 5} \\ = 11.2 \times {10}^{9} \\ = 1.12 \times {10}^{10} \)

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

Answer:

y=1

x=6

Step-by-step explanation:

just move -7y and x=-1+7y

-(-1+7y)+9y=3

1-7y+9y=3

2y=2

y=1

x-7=-1

x=6

According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.

According to the statement

We have to find that the value of the combination.

So, For this purpose, we know that the

A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.

From the given information:

A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:

= 3 yellow pebble + 2 yellow pebbles

= 5 yellow pebbles or 15 red pebbles

And

Two blue pebbles will be:

= 10 yellow pebbles

= 3 red pebbles and 1 yellow pebbles.

So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.

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Question:

A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles

Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?

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Answer:

do not let me install the same link you can

Answer:

x ≥ 18

Step-by-step explanation:

2(x-3)-3(5x-2) ≤ 6(3-2x)

⇔ 2x - 6 - 15x + 6 ≤ 18 - 12x

⇔ 2x - 15x  ≤ 18 - 12x

⇔ -13x ≤ 18 - 12x

⇔ -13x + 12x ≤ 18

⇔ -x ≤ 18

⇔ x ≥ 18

⇔ x∈[18 , ∞)

Gary will take to exercise a total of 21 hours in 4 weeks. And the equation will be 5.25x = 21.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Gary exercises 1.75 hours on Mondays, Wednesdays, and Saturdays.

So in a week, Gary exercises 5.25 hours.

She will take time to exercise 21 hours will be

Let she will take x week, then the equation will be

5.25x = 21

       x = 4

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Answer:

1080cm²

Step-by-step explanation:

Area of a quadrilateral = 1/2 x length of diagonal (length of perpendicular)

\( \frac{1}{2} \times 10(18 \times 12) \\ \frac{1}{2} \times 10(216) \\ \frac{1}{2} \times 2160 \\ {1080cm}^{2} \)

Answer:

la respuesta es 480

Step-by-step explanation:

(-8)(-15)=8*15=120

120*(4)

480

(-8)*(-15)*(4)=480

Step-by-step explanation:

(-8)*(-15)*(4)=480

Answer:

this wooden frame is made of three planks attached with glue and nails. the wood will be painted with emulsion paint which takes 70ml of paint per meter of wood. calculate the amount of paint needed to cover all the wood.​ there's a triangle right angle with the hypotenuse as 10m and the vertical side as 6m

Step-by-step explanation:

Step-by-step explanation:

The above pictures shows working.

Answer: A

Step-by-step explanation:2020 edg

Answer: the answer is A

Step-by-step explanation:

just did it on edge

The credit card balance on the first day of February is $819

A credit card is a small, rectangular piece of plastic or metal that is issued by a bank or other financial institution and enables its holder to borrow money to pay for goods and services at businesses that accept credit cards. Credit cards impose the requirement that cardholders repay the borrowed funds, plus any applicable interest and any additional agreed-upon charges, in full or over time, either by the billing date or at a later date.

Annual percentage rate on average daily balance = 27.6%

So, the percentage rate on average daily balance for the month of January = 27.6/12 = 2.3%

Average daily balance for the month of January = $756

Credit card charges for the month of January = 756*2.3%

= 756*0.023

= $17.388

Unpaid balance at the end of the month = $802

Total amount due on the first day of January = Credit charges + Unpaid balance at the end of the month

= 17.388 + 802

= $819.388

or $819

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Answer:

1. 1/12x

2.1/6x

3. 18

Step-by-step explanation:

Let

x=number of crackers in the box

On Monday, Alexander are 1/2 of the crackers

1/2 of x

=1/2x

Remaining

x-1/2x=2x-1/2

=1/2x

Tuesday=1/2 of what was left

=1/2 of 1/2x

=1/2×1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Wednesday=1/3 of what was left

=1/3 of 1/4x

=1/12x

Remaining

1/4x-1/12x

=3x-x/12

=2/12x

=1/6x

1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?

1/12x

2. what fractional part of the total crackers originally in the box are left.

1/6x

3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.

1/6x=3

Divide both sides by 1/6

1/6x ÷ 1/6 = 3 ÷ 1/6

x=3÷1/6

=3 × 6/1

=18

x=18

Answer:

1) 1/12

2) 1/6

3) 18

Step-by-step explanation:

After solving the given numbers with (PEMDAS) 11 - 11 x 11 + 11 = we get the answer of -88.

To solve 11-11x11+11, we need to use the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is:

Parentheses

Exponents

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Using this order of operations, we can simplify the expression as follows:

11 - 11 x 11 + 11

= 11 - 121 + 11 (since multiplication should be done before addition and subtraction)

= -99 + 11

= -88

Therefore, the value of 11-11x11+11 is -88.

In general, when simplifying expressions, it is important to follow the order of operations to ensure that you get the correct answer. Additionally, it is always a good idea to check your work by plugging the answer back into the original expression and making sure that it is correct.

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Answer:

Jared has 16 books.

Explanation: Subtract 28 by 12 and you'll get 16.

The inequality for the statement "5 is greater than or equal to a" is 5 ≥ a.

To write an inequality for the statement "5 is greater than or equal to a," we can use the greater than or equal to symbol (≥) to represent the relationship between 5 and a. The inequality would be written as:
5 ≥ a
This inequality can also be written as a ≤ 5, which means that a is less than or equal to 5. Both of these inequalities represent the same relationship between 5 and a, and either one can be used to represent the statement "5 is greater than or equal to a."

In Mathematics, the relationship between two values that are not equal is defined by inequalities.

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Answer:

2

Step-by-step explanation:

You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.

Answer:

hope it helps

Step-by-step explanation:

hope it helps

Answer:

The measure of the angle ACB is 59°.

Step-by-step explanation:

Let be \(D\) the location of the center of circle and \(r\) is the radius of the figure, the triangles ACD and BCD are isosceles triangles, since \(AD = CD = BD = r\). And the measure of the angle C associated with each triangle are, respectively:

Triangle ACD

\(m\angle C = \frac{180^{\circ}-89^{\circ}}{2}\)

\(m\angle C = 45.5^{\circ}\)

Triangle BCD

\(m \angle C = \frac{180^{\circ}-153^{\circ}}{2}\)

\(m\angle C = 13.5^{\circ}\)

Lastly, the measure of the angle ACB is:

\(m\angle ACB = 45.5^{\circ} + 13.5^{\circ}\)

\(m\angle ACB = 59^{\circ}\)

The measure of the angle ACB is 59°.

Option c. 0.4926. The effective interest rate with daily compounding is 0.4926 percentage points higher than with monthly compounding.

The viable financing cost is the genuine measure of revenue that Anna pays, considering the building recurrence. To look at the successful loan fee when the interest is accumulated day to day versus month to month, we can utilize the equation:

Viable financing cost = (1 + (expressed loan fee/n))^n - 1

where n is the quantity of intensifying time frames each year. For month to month compounding, n = 12, and for everyday compounding, n = 365.

Connecting the qualities, we get:

For month to month compounding: (1 + (0.1022/12))^12 - 1 = 0.1066 or 10.66%

For everyday compounding: (1 + (0.1022/365))^365 - 1 = 0.1115 or 11.15%

The contrast between the two powerful loan costs is 0.1115 - 0.1066 = 0.0049 or 0.49%, which is around 0.4926 rate focuses. In this manner, the right response is (c) 0.4926 rate focuses.

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To prove that two angles in two triangles are congruent, you must use the Angle-Angle Postulate (AA).  The Angle-Angle Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are congruent.

Therefore, to prove that two angles in two triangles are congruent, you must first show that the two angles have the same measure. This can be done by using the Angle Addition Postulate or by using subtracting the measure of one angle from the measure of the other.

Three vertices and three sides make up a triangle, which is a polygon. The triangle's angles are created when the three sides are joined end to end at a point. The three angles of the triangle sum up to 180 degrees.

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Answer:

2/3 + 1/2 = 1.16666666667

therefore the answer is 1.58333333333

Answer:B

Step-by-step explanation:

Answer:

10 times

Step-by-step explanation:

After signing up she received 75 points, so the number of points he needs to get a free ticket : 140 - 75 = 65

If she earns 6.5 points or each visit, she would have to visit 65/6.5 times to get a free ticket

65/6.5 = 10

Answer:

10 times bud.

Step-by-step explanation:

Hope this helps!

The resulting equivalent expression is -2k + 6

Equivalent expression.

Equivalent expression means an expressions that work the same even though they look different. If we said the two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Given,

Here we have the expression -2k - (-5) + 1

Now, we have to combine the like terms and then we have to solve it in order to find the equivalent expression.

First, we have to write the given expression,

=> -2k - (-5) + 1

Here we know that (-) x (-) = (+), therefore, the given expression is rewritten as follows:

=> -2k + 5 + 1

Here the only like term is the constant 5 and 1, so, we have to combine these constant, the  we get the expression like the following;

=> -2k + (5 + 1)

No, we have to add the constant in order to get the equivalent expression,

=> - 2k + 6

Therefore, the equivalent expression i s -2k + 6.

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Answer:

x=7 valid solution

x=4 extraneous solution

Step-by-step explanation:

sqrt( x-3) +5 = x

Subtract 5 from each side

sqrt( x-3) +5 -5= x-5

sqrt( x-3)  = x-5

Square each side

(sqrt( x-3))^2 = (x-5)^2

Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25

x-3 = x^2 -10x+25

Subtract x from each side

-3 = x^2 -10x -x+25

Add 3 to each side

0 = x^2 -11x +25 +3

0 = x^2 -11x+28

Factor

0 = (x-7)(x-4)

Using the zero product property

x-7 =0  x-4=0

x=7  x=4

Check the solutions

sqrt( x-3) +5 = x

x=7

sqrt( 7-3) +5 = 7

sqrt(4) +5 = 7

2 +5 = 7  valid solution

x=4

sqrt( 4-3) +5 = 4

sqrt(1) +5 = 4

1 +5 = 4    not true   extraneous solution