Convert to rectangular form.

Answer: 5/4

Step-by-step explanation:

I reciprocal of a number can be found if you flip the upper and bottom numbers. Example: the reciprocal of 8 is 1/8

The reciprocal of 4/5 is 5/4.

The reciprocal of a number is when the fraction is turned upside down. This means that the denominator becomes the numerator and the numerator becomes the denominator.

The numerator is 3 and the denominator is 5. IN order to determine the reciprocal 4 becomes the denominator and 5 becomes the numerator. The reciprocal is 5/4.

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Final answer:

To find out how much dressing remains in the jar, subtract the amount of dressing poured onto the salad from the total amount of dressing made.

Explanation:

To find out how much dressing remains in the jar, we need to subtract the amount of dressing poured onto the salad from the total amount of dressing made.

Dakota combines 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar, which gives us a total of 8 17/24 fluid ounces of dressing.

She pours 2 1/4 fluid ounces of the dressing onto her salad. To find out how much dressing remains, we need to subtract 2 1/4 from 8 17/24. Converting the fractions to a common denominator, we have (55/24) - (9/4) = 46/24 - 9/4 = 37/24. This means that 37/24 fluid ounces of dressing remain in the jar.

Answer:

216/9 or simplified 24

Step-by-step explanation:

4

9

×

54

1

=

4 × 54

9 × 1

=

216

9

=

216 ÷ 9

9 ÷ 9

= 24

The value of the expression is 36

Fractions are simply defined as expressions that are made up of part of a whole number, element, or variable

The different types of fractions in mathematics are;

From the information given, we have that the expression is;

4/9 times 54

Express mathematically, we have;

4/9 ×54

Divide by the common factor

4 × 6

Multiply the values

36

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The interest rate that will cause Helena's money to double in approximately 38 years is approximately 1.89%.

An interest rate is the percentage at which interest is charged or paid on a loan, investment, or financial instrument over a specified period. It represents the cost of borrowing money or the return on invested capital. Interest rates are set by financial institutions, central banks, and market forces and influence economic activity. They can be calculated by the rule of 72 as well.

To find the interest rate that will cause Helena's money to double in approximately 38 years, we can use the rule of 72. The rule of 72 states that by dividing 72 by the interest rate, we can estimate the number of years it takes for an amount to double. In this case, if we divide 72 by 38, we get an interest rate of approximately 1.89%.  Therefore, an interest rate of approximately 1.89% will cause Helena's money to double in approximately 38 years.

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Answer: C. |-4 - 3|

Step-by-step explanation:

x = -4

y = 3

The distance between them is the difference. The mathematical operation for difference is subtraction.

Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.

The correct expression representing the distance between two points, X and Y, on a number line is D. [-4+3], which uses the absolute value to ensure a positive distance.

The distance between two points X and Y on a number line can be calculated as the absolute value of the difference between their coordinates. In this case, the coordinates of X and Y are not provided, but we know we are looking for an expression that shows a positive distance regardless of whether X is to the left or to the right of Y on the number line. Therefore, we need the absolute value to ensure we get a non-negative result, which correctly represents the concept of distance.

Distance on a number line is given by the formula “|X - Y|”, which yields the magnitude of the difference between two points without considering direction, making it a positive number. Hence, the expression that represents the distance between two points, X and Y, on the number line in the provided options is D. [-4+3].

Using the provided expressions, [-4+3] means taking the absolute value of the result of “-4+3”, which indeed gives us the distance of 1 between the two points, since |-4+3| = |-1| = 1.

Answer:

C. 15

Step-by-step explanation:

-4/3x-6=-26

The first step is to add 6 to each side

-4/3x-6+6=-26+6

-4/3x =-20  

Now multiply by -3/4 to isolate x.

-3/4 * -4/3x = -3/4 * -20

x = 60/4

x = 15

0.25x + 37.68 = C

[The company charges $0.25 per mile (x) plus $37.68, and C is the total amount of money/cost]

Vanessa has $120 [total amount of money she is given per day],

Since this is the total amount of money she has/can pay with, you can plug in 120 for C

0.25x + 37.68 = 120     Subtract 37.68 on both sides

0.25x = 82.32        Divide 0.25 on both sides

x = 329.28

Vanessa can travel 329.28 miles on the $120

The equation representing the cost of renting a car is C = 37.68 + 0.25x. Setting this equation equal to Vanessa's budget of $120 and solving for x, we find that Vanessa can travel about 329 miles on her budget.

The cost of renting a car for a day can be represented by the equation C = 37.68 + 0.25x, where 'C' is the total cost and 'x' is the number of miles driven. Vanessa has $120 allotted for each day. Therefore to find out how many miles she can travel, we can set the equation equal to 120 and solve for 'x'.

So, 120 = 37.68 + 0.25x

Subtract 37.68 from both sides to isolate the term with 'x'.

82.32 = 0.25x

Finally, divide both sides by 0.25 to solve for 'x'.

x = 329.28

Therefore, Vanessa can travel approximately 329 miles on $120.

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Answer:

x=29

Step-by-step explanation:

3x-13=74

We want to solve for x, so we need to isolate it.

The first step is to add 13 to each side.

3x-13+13=74+13

3x = 87

Then we divide by 3 on each side

3x/3 = 87/3

x= 29

Answer:

Option c is correct.

Equation with slope of 7 is; [tex]y =7x[/tex]

Step-by-step explanation:

The Equation of line is in the form of :

[tex]y =mx[/tex]                 .....[1]

where

m represents the slope of the line.

x represents the variable.

Given : The slope of a line is 7

m = 7

substitute the value of m =7 in [1];

[tex]y = 7x[/tex]

Therefore, the equation of line which graphs to a line with a slope of 7 is, y =7x

Answer:

x=9

Step-by-step explanation:

-9x + 1 = -80

-9x = -81           substract 1 from both sides

x= 9                  divide both sides by -9

The solution to the equation -9x + 1 = -80 is x = 9

To solve the equation -9x + 1 = -80, we aim to isolate the variable x on one side of the equation.

First, we can subtract 1 from both sides to get rid of the constant term:

-9x + 1 - 1 = -80 - 1

This simplifies to:

-9x = -81

Next, we divide both sides by -9 to solve for x:

(-9x) / -9 = (-81) / -9

This gives us:

x = 9

Therefore, the solution to the equation -9x + 1 = -80 is x = 9. When we substitute x with 9 in the original equation, we get -9(9) + 1 = -80, which is true, confirming the solution.

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Answer: Choice D (lower right corner)

If we have x = 0 liters of solution, then we have y = 0.20*x = 0.20*0 = 0 liters of bleach. Therefore the point (0,0) is on the graph.

The point (10,2) is also on the graph because x = 10 leads to y = 0.20*x = 0.20*10 = 2; meaning 10 liters of solution points to 2 liters of bleach.

The only graph that has both points (0,0) and (10,2) is choice D in the lower right corner.

It all depends on the value of x. Remember that x must be greater than or equal to 2 or else the number under the square root sign will be negative, which will result in a complex number. The domain is 2<=x and the range is 0<=x.

Graphing it looks like this:

The function h(x) = square root x-2 is a square root function that takes the input x, subtracts 2 from it, and then takes the square root of the result.

The function h(x) = √(x-2) represents a square root function. It takes the input x and subtracts 2 from it, and then takes the square root of the result. The function can be graphed as a curve that starts at (2, 0) and increases as x gets bigger. For example, if we plug in x = 4, h(4) = √(4-2) = √2.

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Answer: A is the answer

Step-by-step explanation: 6(10 + 4). 6(10 + 4) = 6 × 10 + 6 × 4 =60 + 24

Find the depth of the river at 9 hours and 18 hours by seeing where the line is on the Y axis.

At 9 hours the river is 18 feet deep

At 18 hours the river is 21 feet deep.

The average rate of change is the change in Y over the change in X

The Y is the depth and the X is the time:

(21-18) / (18-9) = 3/9 = 1/3 = 0.33

The average rate of change is 0.3 foot per hour. ( Rounded to nearest tenth)

Answer:

A

Step-by-step explanation:

Monday he ran the highest because 4.5 is greater than the other numbers given.

Answer:

Monday.

Step-by-step explanation:

We want to know on which day he ran the greatest number of miles.  The largest number is the greatest number of miles.  4.5 is the largest number and that is on Monday

Answer:

5 15/22  hours

5.6818 hours

Step-by-step explanation:

Distance is equal to the rate times the time

D = rt

We know the rate = 88 km/hr and the distance = 500 km

Substitute these in

500 = 88 *t

Divide each side by 88

500/88 = 88t/88

5 15/22  hours

5.6818 hours

Answer:

This is an obtuse scalene triangle.

Step-by-step explanation:

This is an obtuse triangle.  An obtuse triangle has an angle greater than 90 degrees.  It is also a scalene triangle because none of the sides are equal.

To solve this problem, we first need to figure out how much tax will be applied to Neil's purchase.  To do this, we need to multiply the tax rate (5%) by the cost of the washing machine ($445).  But, we can't multiply percentages unless we change them to decimal form first.  To do this, we need to divide the percentage by 100 (because 5 percent is a fraction out of a  total 100 percent) or move the decimal point two spots to the left.  This gives us the following:

0.05 * 445

If we compute this expression, we get:

$22.25

This means that Neil will be charged $22.25 in tax.  However, the question asks for the total cost including tax, so we must add the original cost of the washing machine to the tax.  

$445 + $22.25 = $467.25

Therefore, your answer is $467.25.

Hope this helps!

Answer:

A. 23 cm3

Step-by-step explanation:

V= mass ÷ density

12 g/cm3 is the density

276g is the mass.

So, 276 ÷ 12

= 23 cm3

Answer: 14 cm3

Step-by-step explanation:

Answer:

9.106

Step-by-step explanation:

The circumference of a circle with a given diameter is: [tex]C=\pi d[/tex]

We are given the diameter of 2.9 units.

Using 3.14 for pi:

[tex]C=3.14 * 2.9\\\\\boxed{C=9.106}[/tex]

The circumference is about 9.106 units.

Answer:

(x ÷ 8) + 3/4 ≥ -1/4

Step-by-step explanation:

Let "x" be a number.

The quotient of "x" and eight means   x÷8

It is increased by 3/4

(x ÷ 8) + 3/4

The expression is at least -1/4

Here "at least" represents ≥

Therefore, (x ÷ 8) + 3/4 ≥ -1/4

Thank you.

Answer:

[tex]y=-2cos (2(x+\pi ))-1[/tex]

Step-by-step explanation:

From the graph, we can see that y = -3 when x  = 0.

So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.

1. y = -2 cos (4(x + pi)) - 1 = -2 cos (4(0 + pi)) - 1  = 3

2. y = 2 cos(x + pi) = 2 cos(0 + pi) = -1

3. y = -2 cos (2(x + pi)) - 1 = -2 cos (2(x + pi)) - 1 = -3

Therefore, the equation of this graph is  y = -2 cos (2(x + pi)) - 1.

Answer:

$1,325

Step-by-step explanation:

All we have to do is to identify which amount is the goal, and which amount(s) are taken steps toward that goal. Once you identify those, deduct whatever amount(s) that have got you closer to the goal and you will get what is still left to achieve. Or as stated in this example, the open-to-buy amount.

Goal:

$3,500 (as planned)

Steps made toward reaching planned goal:

Orders Received: $975

Merchandise ordered: $1,200

Compute the goal minus the steps achieved so far and Voila! You will get your open-to-buy amount.

$3,500-$975-$1,200=$1,325

Answer:

Yes

Step-by-step explanation:

A rhombus is a parallelogram with 4 congruent sides.

Answer:

To find slope you have to do rise over run. Use a graphing calculator such as desmos, and enter those cords. Find your y-intercept then see how much up and to the side you can go until hitting a point

Step-by-step explanation:

Answer:

$2.29

Step-by-step explanation:

She spent the $50.00 gift certificate plus $0.33.

$50.00 + $0.33 = $50.33.

She spent a total of $50.33.

The pajamas cost $17.97.

The necklace cost $25.49.

The total cost of the pajamas and necklace is:

$17.97 + $25.49 = $43.46.

Since she spent a total of $50.33, we now subtract the amount she spent on the pajamas and necklace to find out the cost of the three pairs of socks.

$50.33 - $43.46 = $6.87

The three pairs of socks cost a total of $6.87.

Since all pairs of socks cost the same amount, we now divide $6.87 by 3 to find the price of each pair of socks.

$6.87/3 = $2.29

Each pair of socks costs $2.29.

Answer:

f(-3) = 6

Step-by-step explanation:

f(-3) is looking at the graph and determining the value of y at x=-3

We go over 3 to the left to x=-3 and go up 6 units to y= 6

f(-3) = 6

Answer:

Mrs. Wong spend $545.76 on tiles.

Step-by-step explanation:

Mrs. Wong has 144 tiles that she is going to place on her square kitchen floor. If the tiles are $3.79 each, how much did Mrs. Wong spend on tile?

we are given

number of ties=144

cost of one tie=3.79 dollar

we have to find

total cost of 144 ties

for this we will multiply 144 by 3.79

multiplying 144 by 3.79 gives=144*3.79

it other words

one tile cost=$3.79

and for 144 ties cost

multiplying 144 on both sides

144 tiles cost=3.79*144=$545.76

Answer:

She will spend $545.76!

Step-by-step explanation:

To get the answer you must multiply 144 by 3.79. You will end up with $545.76

Good Luck

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Answer: 17.6x +30.9

Step-by-step explanation:

the constant is 30.9

1) you distribute the 2 to 8.8. and 17.6

2) then you combine like terms

Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

2(8.8x+17.6)−4.3

Distribute:

=(2)(8.8x)+(2)(17.6)+−4.3

=17.6x+35.2+−4.3

Combine Like Terms:

=17.6x+35.2+−4.3

=(17.6x)+(35.2+−4.3)

=17.6x+30.9

Answer:

19 cents per ounce

Step-by-step explanation:

$1 = 100 cent

Amount of corn flakes = 24 oz

Cost of corn flakes = $4.59 = 459 cents

Cost per ounce = 459/24 =19.125 = 19 cents/ ounce

∴ The cost of corn flakes is 19 cents per ounce.