Jacob's job pays him $12.50 per hour. Which equation can be used to find Jacob's salary,
y, if he works for x hours? *
(5 Points)
A. y = x/12.50
B.y = 12.50 + x
.
C.y = 12.50 - x
D.y = 12.50x

Answer:

-1

Step-by-step explanation:

2y+6=1 -3y

add three to both sides and minus 6 from both sides becasue you want to get y by itself

5y=-5

now both sides by 5

y=-1

Answer:

y=−1

Step-by-step explanation:

2y+6=1−3y

Step 1: Simplify both sides of the equation.

2y+6=1−3y

2y+6=1+−3y

2y+6=−3y+1

Step 2: Add 3y to both sides.

2y+6+3y=−3y+1+3y

5y+6=1

Step 3: Subtract 6 from both sides.

5y+6−6=1−6

5y=−5

Step 4: Divide both sides by 5.

y=−1

The actual area of the care park in hectares is 18.75

As per the known fact, ratio of measurement on scale is equal to the ratio of measurement in real. So, writing the equation first -

Area of car park = 3 cm²

Keep the value of 1 cm in the above mentioned equation.

Area of car park = 3 × (250)²

Taking square

Area of car park = 3 × 62,500

Performing multiplication

Area of car park = 1,87,500 m²

Converting the area in hectares

10,000 m² = 1 hectare

1,87,500 m² = (1 ÷ 10,000) × 1,87,500

1,87,500 m² = 18.75 hectares.

Therefore, the actual area of the care park is 18.75 hectares.

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In the given triangle, the value of x = 5.

What is a triangle's definition?

A triangle is a geometrical shape that is defined as a polygon with three sides and three angles. It is a closed figure with three line segments as its sides, and these sides intersect at three points, which are called vertices. When we add all the angles of a triangle then the result will always be 180°.

Now,

As we know the property of a triangle that

sum of all angles of triangle=180°

given angles are (9x-1)°, 74° and 62°

then,

        9x-1+74+62=180°

9x+135=180

9x=45

x=5

Hence,

           the value of x is 5.

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Answer:

1 mile

Step-by-step explanation:

1m =160934 cm

Answer:

9 feets

Step-by-step explanation:

From the question, we have our scale factor as:

4:9 = 4/9

Smaller circle /Bigger circle = 4/9

A circle has a radius of 4 feet. What is the radius of a bigger circle?

Let the radius of the bigger circle = x

This is calculated as:

4/9 = 4/x

Cross Multiply

4x = 9 × 4

x = 36/4

x = 9 feet

Therefore, the radius of the bigger circle is 9 feet

Answer:

$270

Step-by-step explanation:

15*300=4500

4500/100

$45.

15% of 300 is 45.

$45 goes into her savings each week.

$45 times 6 weeks.

$270 is saved after 6 weeks

Answer:D

The answer is D.

Step-by-step explanation:

Like terms are only related to the variable at the end, and the variable also has to have the same exponent or it is not a like term.

Answer:

-1

Step-by-step explanation:

rise = -2

run = 2

Slope = rise / run

= -2/2 = -1

Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .

Answer:

Slope = -1

Step-by-step explanation:

You are provided with two points on the line (-5, 7) and (1,1).

\(Slope = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}\)

\(Slope = \frac{7-1}{-5-1} =\frac{6}{-6} =-1\)

Answer:

Step-by-step explanation:

a) Input = -9   ⇒ x = -9

y = x² + 3

Plugin x = (-9),

y = (-9)² + 3  

  =  81 +  3                {(-9)² = -9 * (-9) = 81}

y = 84    ---> Output

y = √x - 2

  = √-9 - 2          { i² = -1}

  \(= \sqrt{3*3 * i^{2}}-2\\\\=3i -2\)    

y = 3i - 2  ------> Output

b) Output = 0

y  = x² + 3

x² + 3 = 0

x² = -3

\(x = \sqrt{-3}=\sqrt{3i^{2}}\\\\x = i \sqrt{3}\)

y = √x -2

0 = √x - 2

√x = 2

Take square,

\((\sqrt{x})^{2}=2^{2}\\\x = 4\)

Answer:

3x- 1

Step-by-step explanation:

2x+1x=3x and -3+2=-1

3x-1

Answer:

The bottom

Step-by-step explanation: Everything's hard to see but the other answers are too low for them to be the answer.

Answer: 2/27 chance

Step-by-step explanation: 1/3 chance of science magazine x 2/9 chance of movie magazine

There are 4845 ways to choose four books from a reading list of 20 books.

To calculate the number of ways to choose four books from a list of 20, we can use the combination formula. The formula for calculating combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen. In this case, we have 20 books in the reading list, and we want to choose 4 books. Using the combination formula, we can calculate the number of ways as follows:

20C4 = 20! / (4!(20-4)!)

     = (20 * 19 * 18 * 17) / (4 * 3 * 2 * 1)

     = 4845

Therefore, there are 4845 ways to choose four books from the reading list of 20 books. Each combination represents a unique set of four books that can be read during the summer.

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The original cost was it before the sale will be £ 26.4.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.

In a sale is 25% off all prices but cost £33 in the sale.

Then the original cost was it before the sale will be

Let x be the original cost.

Then we have

1.25x = £33

      x = £26.4

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Answer:

The answer is 2.55

Step-by-step explanation:

As, the original price = $17

So, 85% of it have been reduced from it so

85% of 17

= 85/100 x 17 = 14.45

So it have reduced by $14.45

So, $17 - $14.45= $2.55

Answer:

23% of 75 is 17.35 ok i hope it helps

Your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

To calculate the monthly payment for a motorcycle loan, we can use the formula for the present value of an annuity. The formula is:

PMT = PV * r / (1 - (1 + r)^(-n))

Where:
PMT = Monthly payment
PV = Present value of the loan
r = Monthly interest rate
n = Number of months

In this case, the present value of the loan (PV) is $7,200, the monthly interest rate (r) is 5.54% divided by 12 (0.0554 / 12), and the number of months (n) is 60.

Plugging in these values into the formula, we get:

PMT = 7200 * (0.0554 / 12) / (1 - (1 + (0.0554 / 12))^(-60))

Evaluating this expression, the monthly payment comes out to be approximately $136.88.

Therefore, your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

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Answer:

x = -11

Step-by-step explanation:

9x+42=4x-13

(add 13 to both sides)

9x+55=4x

(subtract 9x from both sides)

55=-5x

(divide by -5)

-11 = x

You isolate the x term basically.

First you bring 4x from the right hand side to the left hand side and so the equation would be: 9x - 4x + 42 = -13

Then you bring 42 from the left hand side to the right hand side so the equation would look something like this: 9x - 4x = -13 - 42

Next subtract the x terms and the numbers on the right hand side too so you get: 5x = -55

Remove the coefficient from x and bring it to the right hand side with the operation as division. So you get: x = -55/5

Solve the division and you get: x = -11

:D

Answer:

Condition:

If a series converges, then the terms of the series approach 0.

Converse:

If the terms of a series approach 0, then the series converges.

Answer:

-108x³ + 115x² + 149x - 32

Step-by-step explanation:

[(5x + 3)(8x + 6)] + [(-9x + 10) (12x² + 5x-5)]

= (5x + 3) (8x + 6) + (-9x + 10) ( 12x² + 5x - 5)

= 40x² + 54x + 18 - 108x³ + 75x² + 95x - 50

= -108x³ + 115x² + 149x - 32

So, the answer is -108x³ + 115x² + 149x - 32

Answer:

-6/5

Step-by-step explanation:

The slope is (4 - (-2)) / (-1 - 4) = (4 + 2) / (-5) = 6 / -5 = -6/5.

Answer:

-6/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = (4 - -2)/(-1 -4)

   = (4+2)/ ( -1-4)

   =-6/5

B. Square, A quadrilateral with four congruent sides and four congruent angles is a Square.

A square is a quadrilateral with four congruent sides and four congruent angles (right angles). All sides of a square are equal in length, and all angles are right angles (90 degrees). This makes it a special type of rectangle and a special type of rhombus.

In a rhombus, all four sides are equal in length. A square is also a special type of rhombus in which all four sides are equal and it is also a special type of rectangle with four congruent sides and four congruent angles is a rhombus.

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Answer:

quadrant I

Step-by-step explanation:

The Solution.

The diagonals of a rhombus intersect at right angles.

Hence, the length UI is a side in the right-angled triangle below:

By Pythagorean Theorem, we have

Thus, the correct answer is 9.2

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.

To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

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Answer:

If it slept at 8pm then at 10 it woke up 10:15 it slept.

If it slept at 8pm then at 10 it woke up 10:15 it slept. So, woke up at 12:15, slept at 12:30pm. woke up at 2:30 and slept at 2:45am, woke up at 4:45, slept at 5am. awakened at 6.

2+2+2+2+1

So it got 9 hours of sleep out of 10

So it got 9 hours of sleep out of 10Converting to Percentage:

So it got 9 hours of sleep out of 10Converting to Percentage: 9/10 can be written as 90%.

So it got 9 hours of sleep out of 10Converting to Percentage: 9/10 can be written as 90%. Thus, The baby slept 90% of the time.

Answer:

This will work i put a graph image here

Step-by-step explanation:

Answer: The attachment I added is actually the correct answer. The green line is the right one.