Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $182 in tips for a total of
$302. How many hours did Mary work last week?
O A. 22
B. 26
C. 24
.D.
29

Answer:

49

Step-by-step explanation:

Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.

To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.

- The coefficient of y is -14.

multiplying the coefficient of y by 1/2 will give -14/2 = -7

- squaring -7 will result in (-7)²

= 49

The constant that will be added to the binomial to make it a perfect square trinomial is 49

Answer:

21u is less than or equal too 126

Step-by-step explanation:

Final answer:

The inequality 21u ≤ 126 is solved by dividing both sides by 21, resulting in u ≤ 6.

Explanation:

The product of 21 and a number u is at most 126 can be expressed as an inequality: 21u ≤ 126. To solve for u, we divide both sides of the inequality by 21, the coefficient of u. Doing so, we find that u ≤ 6. Therefore, the number u can be any number less than or equal to 6 so that the product of 21 and u does not exceed 126.

Answer: There will be $2951.52 money in the account in 15 years

Step-by-step explanation:

Given: Principal ; P = $1200

Interest rate;r  = 6% compounded continuously

Time; t  = 15 years

As we know the compounded continuously formula is given by

[tex]A= Pe^{rt}[/tex] where A is amount , P is principal , r is rate, t is time and e be the mathematical constant.

So according to question we have

[tex]A= 1200 e^{0.06 \times 15} = 1200 e^{0.9} \approx 2951.52[/tex]

Hence, there will be $2951.52 money in the account in 15 years

Answer:

x = 2

Step-by-step explanation:

The residual value represents the vertical distance between an actual data point and the predicted value on the line of best fit. To find the residual value when x = 2, we need to substitute x = 2 into the equation of the line of best fit and calculate the corresponding y-value.

The equation of the line of best fit is y = 0.5x + 1.

Substituting x = 2 into the equation, we get:

y = 0.5(2) + 1

y = 1 + 1

y = 2

So, when x = 2, the predicted y-value on the line of best fit is 2.

To find the residual value, we need to compare this predicted value with the actual data point. However, the given data points are not provided in the question, so we cannot calculate the exact residual value.

Therefore, without the actual data points, we cannot determine the specific residual value when x = 2.

Final answer:

To determine the residual value for x = 2, we need the actual y value from the data points. The residual is the difference between this actual y value and the predicted value from the line y = 0.5x + 1. Without the actual y value, the residual cannot be calculated.

Explanation:

The subject of this question is residual value in the context of linear regression, which is a part of high school Mathematics. The residual is the difference between the actual y value of a data point and the y value predicted by the line of best fit. When x = 2, we first calculate the predicted value using the equation y = 0.5x + 1, which gives us y = 2. To find the residual value, we need the actual y value from the given data points. If there is no actual y value given specifically for x = 2, we cannot calculate the residual value. Without that actual data point, we cannot compare it to the predicted value of 2. Please provide the actual y value for x = 2 to determine the residual.

Answer:

maybe you can mulitply sorry if im wrong im also struggling :(

Answer:

≈7.48, exact would be 7.48331477355

Step-by-step explanation:

Pythagorean Theorem

c is the hypotenuse (longest side)

a and b are interchangeable

a^2 + b^2 = c^2

3^2 + 7^2 = c^2

(9 + 47 = 56)

56= c^2

[tex]\sqrt{56}[/tex] = c

7.48 ≈ c

hope this helps :)

Answer:

25

Step-by-step explanation:

25 bc it is the largest number than can go both into 50 and 75

Answer:

GCF =25

Step-by-step explanation:

The prime factorization of 50 is: 2 x 5 x 5.

The prime factorization of 75 is: 3 x 5 x 5.

The prime factors in multiplicities 50 and 75 have in common are 5 x 5.

5 x 5 is the GCF of 50 and 75.

I hope this helps!! :]

Answer:

Cube root of 1446

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Therefore, if we divide 1928pi by 4/3pi and then take the cube root, you will find the radius. In this case, 1928pi/(4pi/3)=1446, meaning that the radius is the cube root of 1446. Hope this helps!

The formula for the volume of a sphere is 4/3 the product of π and the cube of the radius of the sphere.

Therefore, if we're working backwards, we can start by multiplying 1928 by 4/3.

1928 x (4/3) = 2570.66666667

From there, we can find the cube root to find our radius.

(cube root) of 2570.6666667 = 13.698781

Therefore, the radius of the circle is 13.698781, or about 13.7.

Hope this helps! :)

Answer:

The volume of ice cream cone is 66 cubic inch.

Step-by-step explanation:

Diameter of ice cream cone is 6 inches

Height of the cone is 7 inches

The volume of a cone shaped object is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substituting all the values in above formula as:

[tex]V=\dfrac{1}{3}\times \dfrac{22}{7}\times 3^2\times 7\\\\V=66\ \text{inches}^3[/tex]

So, the volume of ice cream cone is 66 cubic inch.

Answer:

66

Step-by-step explanation:

Answer:

D) s-2ac/2a+2c

Step-by-step explanation:

[tex]s = 2ab + 2bc + 2ac \\ s - 2ac = b(2a + 2c) \\ \huge \red{ \boxed{ b = \frac{s - 2ac}{2a + 2c} }}[/tex]

Answer:

first option is the answer

hope it helps.you

sorry for giving wrong answer last time

Answer:

y^3

Step-by-step explanation:

sqrt(y^3) * sqrt(y^3)

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(y^6)

y^3  since we know that y≥0

Answer:

the answer is 12

Step-by-step explanation:

2 x ( − 2 x ) + 2 x ⋅ − 3

Simplify the expression.

− 4 x 2 −  6 x

Answer:

X^2-6x

Step-by-step explanation:

2x times -2x is 0 which is x^2

2x times -3 is -6x

Answer:

$80.00

Step-by-step explanation:

If you round up the values, you should evaluate to the following:

Marion/Elaine have $300.00

Marion/Elaine need $700.00

Subtract them from each other and that equals $400.00 dollars that they need.

Since it is a 5 week period this is over, you can divide 400 by 5, what do you get? $80.00

Answer:

Step-by-step explanation:

Given a ramp with a one-meter distance from edge to edge and reaches a height of 0.643 meters, the equivalent set up will form a right angled triangle where the length of the ramp will be the hypotenuse of the triangle and its height will be the opposite side of the triangle facing the acute angle directly.

To get the value of the acute angle, we will use the trigonometry ratio known as SOH, CAH, TOA.

Given length of ramp = hypotenuse = 1m

Height =Opposite side = 0.643m

Using SOH;

sin[tex]\theta\\[/tex] = [tex]\frac{opp}{hyp}[/tex]

sin[tex]\theta[/tex] = 0.643/1

sin[tex]\theta[/tex] = 0.643

[tex]\theta[/tex] =sin⁻¹0.643

[tex]\theta[/tex] = 40°

The value of the acute angle is 40°

Answer:

Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

All sides divided by each congruent side are = to .4 and 2/5 is = to 4/10

The sides of triangles are not proportional, thus the triangle is not similar triangle.

Triangle is "a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees".

If the ratio of the "sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles".

According to the question,

In ΔRST and ΔWXU are similar triangle if ∠R = ∠W; ∠S = ∠W; ∠T=∠U

then   [tex]\frac{RS}{WX} = \frac{ST}{XU}[/tex] .

In ΔRST, side RS is 3 centimeters, side ST is 6 centimeters, and side RT is 6.4 centimeters. In ΔWXU, Side WX is 16 centimeters, side XU is 7.5 centimeters, and side WU is 15 centimeters.

[tex]\frac{3}{16} = \frac{6}{7.5} = \frac{6.4}{15}[/tex]  

Hence, the sides are not proportional then the triangle is not similar triangle.

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The answer is 15 square ft

Answer:

15 square feet

Step-by-step explanation:

Answer:

The answer is 12 minutes.

Step-by-step explanation:

It is given that the cost of one minute is $0.18. Firstly, you have to substract the remaing credits from her original credits :

$30 - $27.84 = $2.16

We have found out that she uses $2.16 for her long distance call. Next, you have to divide 18 cents from the uses in order to find out how many minutes she use :

[tex]1 \: min = 0.18dollar[/tex]

[tex]x \: mins = 2.16dollars[/tex]

[tex]x = 2.16 \div 0.18[/tex]

[tex]x = 12 \: mins[/tex]

Answer:

6

Step-by-step explanation:

18 ÷ 3 = 6

The length of KP is 6 units.

The line segment from a vertex to the middle of the other side is what is meant by a median. When the vertex is an angle in an equilateral triangle or the non-congruent angle of an isosceles triangle, it is also an angle bisector.

Given:

From the figure CP = PB then AP is a median.

AP= 18 units

Now, the line QB divides the line AP in ratio 2:1.

So, KP = AP /3

KP = 18/3

KP = 6 units

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Answer:

C

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer:

x=58

FDE=61

Step-by-step explanation:

Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:

2x+3+x+3=180

3x=174

x=58 degrees

FDE=ADC= x+3=61 degrees. Hope this helps!

Answer:

(2x)^4 - (3y)4

Step-by-step explanation:

using this identity a^2 - b^2 = (a + b )(a - b)

=(4x^2)^2 - (9y^2)^2

=(2x)^4 - (3y)4

Answers:

1.) -y+9z-16y-25z  =   -17y-16z

2.) 6x +3y-y+2+2  =   6x+2y+4

3.) 9b + 5(b - 4) + 15  =   14b-5

4.) -4(3x + 5) + 10x + 1  =   -2x-19

5.) 0.5(y + 4) + 18y - 9  =   18.5y-7

6.) -0.7r+9(-r-15)  =    -9.7r-135

Answer:

b) 5

Step-by-step explanation:

6+10=16

40 times 2 = 80

80 div by 15 = 5

Answer:

The answer is 5units

Step-by-step explanation:

Because it is

Answer:

D

Step-by-step explanation:

2. There are 14 rollercoasters at the amusement park. There are 2 rollercoasters made of steel, 6 of them are made of steel and have loops, 4 of them have loops but aren't made of steel and there are 2 rollercoasters with no loops and aren't made of steel.

4. 60% of rollercoasters with loops are made of steel. 40% of rollercoaster with loops are not made of steel. 50% of rollercoasters made of steel have no loops and 50% of rollercoasters not made of steel don't have loops.

6. 75% of rollercoasters are made of steel either have loops or no loops.

25% of rollercoasters not made of steel either have loops or no loops.

This was quite a lot to do, I'm pretty sure the relative frequency graph number 3 had me a bit confused.

Answer:

The set of points in a plane that are equidistant from a given point create a circle.

Hope this helps!

:)

Answer:

Ariana

Step-by-step explanation:

560 is 93.33 percent of 600 and 825 is 94.29 percent of 875.

The required, Imani has a larger percent increase in their rent.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Imani’s rent increased from $560 per month to $600 per month.
percentage increase in Imani’s rent  = 600 - 560 / 560 × 100%
                                                        = 7.14%

Ariana's rent increased from $825 per month to $875 per month.
percentage increase in Ariana's rent  = 875 - 825 / 875 × 100%
                                                        = 5.71%

Thus, the required, Imani has a larger percent increase in their rent.

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