The same item is on sale at two stores. Which one is the better price? 60% off $60 or 55% off %50

Answer:

D. d = w x 30

Step-by-step explanation:

$30 x the number of weeks = how much she pays

Answer:

$207

Step-by-step explanation:

Calculate how nany hours Sue worked last week:

7.5 + 7.5 + 6.5 + 6.5 + 6.5

34.5 hours total

Now calculate her total income for last week:

34.5 hours × $6

$207

Answer:

11. B 12. C 13. B

Step-by-step explanation:

11. Since segment MR bisects segment QO, side QP and side PO are equal. In the problem it states that angle MQP is congruent to angle ROP. The the angles QPM and OPR are vertical, so they are equal. That is enough evidence to conclude the answer.

12. ADC is bisected by BD, so that bisects AC too, which makes both sides equal. BD is perpendicular to AC, making right angles on both sides. The curves at angle A and angle C show that they are congruent. That should be enough evidence to show that it is congruent by ASA.

13. Triangle cannot be congruent by having the same angles, only similar since the lengths can be different. Congruent triangle means that the sides and angles are the same.

Good luck...hope this helped ;)

Answer: 3200 ft^2

Step-by-step explanation:

You have a total area of 4,000 ft^2.

In your plan, you will make two bathrooms (one men's restroom and one women's restroom)

We know that each one of them needs 400ft^2, then the total area needed is two times 400ft^2, or:

2*400ft^2 = 800ft^2

If we subtract this to the total area, we get:

4000ft^2 - 800ft^2 = 3200 ft^2

That is the square feet left for the development of other nonbathroom areas.

Answer:

D

Step-by-step explanation:

The sum of angles of an hexagon is \(4\cdot 180\)°.

Answer:

1/2

Step-by-step explanation:

hope this helps and have a nice day!

The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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Given the equation:  \(\frac{5x+4}{2} = 7\)

x = 2

Explanation:

Multiply 2 on both sides of the equation to eliminate the fraction on the left-hand side:

\(2(\frac{5x+4}{2}) = 7(2)\)

2 cancels out on the left side, leaving 5x + 4, and 14 on the right-hand side of the equation:

5x + 4  = 14

Subtract 4 from both sides of the equation:  

5x + 4 - 4 = 14 - 4  

5x = 10

Divide both sides of the equation by 5 to solve for x:

\(\frac{5x}{5} = \frac{10}{5}\) 

x = 2

The simplified form of the expression (2 + 8) : 5 + 3 x 4 – (1 + 5) in the ratio is 10 : 11.

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

(2 + 8) : 5 + 3 x 4 – (1 + 5) : 2 =

10 : 5 + 12 - 6

10 : 11

The simplified form of the expression in the ratio is 10 : 11.

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The  required single payment is required to settle both debts in one month is $4071.26.

Simple interest is the amount of interest charged on a specific pripal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

We have,

Interest of 12 month = 6.30%

For one month = 6.30/12

= 0.525% per month

Total debt =  $2,100 +  $1,950

Total debt = $4050

Interest of one month = 0.525% of $4050

= $21.26

Net debt = $4050 + $21.26.

Thus, required single payment is required to settle both debts in one month is $4071.26.

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Answer:

64

Step-by-step explanation:

[using calculus] When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have \(h'(t) = -32t + 48\), which equals zero when \(t = 3/2 = 1.5\). The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

[without calculus] This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Answer:

See Explanation

Step-by-step explanation:

Let the temperatures of Miami and Bangor be M and B degrees respectively.

According to the given information:

M = 3B + 22... (required equation)

Plug M = 82

82 = 3B + 22

82 - 22 = 3B

60 = 3B

B = 60/3

B = 20 degrees

Thus, the temperature in Bangor is 20 degrees.

The required temperature in Bangor is 52 degrees and the required equation is 82 = 3B + - 22.

Given that,
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine.
The temperature in Miami is 82 degrees.
An equation to determine the temperature in Bangor is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the temperature in Bangor be B
The temperature in Miami is 82 degrees.
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor. Implies,

82 = 3B + - 22
3B = 82 + 22
3B = 104
B = 52 degrees

Thus, the required temperature in Bangor is 52 degrees.

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Answer: You will find tan 56 degrees 18 minutes (approx) = 1.5 ... It's generally agreed that the principal value of tan inverse should lie between -90 and +90 ...

Step-by-step explanation:

Answer:

4, 118 degrees

Step-by-step explanation:

If two figures are similar, then that means that the ratio of any two corresponding sides in those figures will be equal. For example, the top side of the big parallelogram to the left side of the parallelogram will equal the top side of the small parellolgram to the left side of the small parallelogram. We know that the top side of the large parallelogram is 15 units, the left side of the large parallelogram is 10 units, and the top side of the small parallelogram is 6 units. Now, we can setup a proportion, where PS is the left side of the small parallelogram.

\(\frac{15}{10}=\frac{6}{PS}\)

Cross-multiplying, we have \(15\cdot PS=60\). Dividing by 15, we have \(PS=4\), so the answer to the first dropdown is 4. Now, in similar figures, the angles to similar triangles are congruent, because the value of the side lengths dont affect the angles as long as they are in the same ratio. That means, that the angle we are looking for, angle QRS is congruent to the same angle it corresponds to in the big parallelogram, which is angle BCD. If BCD is 118 degrees, then that means the angle QRS is also 118 degrees.

The length of PS is 4, and the angle QRS  is 118 degrees.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

If two figures are similar, then that means that the ratio of any two corresponding sides in those figures will be equal. For example, the top side of the big parallelogram to the left side of the parallelogram will equal the top side of the small parallelogram to the left side of the small parallelogram.

We know that the top side of the large parallelogram is 15 units, the left side of the large parallelogram is 10 units, and the top side of the small parallelogram is 6 units. Now, we can set up a proportion, where PS is the left side of the small parallelogram.

15 / 10 = 6 / PS

Ps = 60 / 15 = 4

Cross-multiplying, we have. Dividing by 15, we have, the answer to the first dropdown is 4. Now, in similar figures, the angles to similar triangles are congruent, because the value of the side lengths doesn't affect the angles as long as they are in the same ratio.

That means, that the angle we are looking for, angle QRS is congruent to the same angle it corresponds to in the big parallelogram, which is angle BCD. If BCD is 118 degrees, then that means the angle QRS is also 118 degrees.

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Answer:

The area of the trapezoid is 54

Answer:

6(x) (not much info is known to get a full answer)

Step-by-step explanation:

"Katie made 6 times as many baskets" this shows that you need to multiply how much baskets tiffany made by 6 thus making the equation 6(x)

The ratio for the number of baskets made by Katie and Tiffany is 6:1.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other.

Given Katie made 6 times as many baskets as Tiffany during basketball practice,

let the basket done by Tiffney be x

basket made by Katie is 6x

the ratio of  the number of baskets made by Katie and Tiffany,

= 6x/x

= 6/1

or ratio = 6:1

Hence the ratio is 6:1.

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The complete question is,

Katie made 6 times as many baskets as Tiffany during basketball practice write a ratio

Answer:

30

Step-by-step explanation:

Complementary angles add to 90

x+60 = 90

x+60-60 = 90-60

x = 30

Answer: A

Step-by-step explanation:

Complementary angles sum up to 90 degrees. Thus, we can write that:

90=angle1+angle2

90-angle1=angle2

90-60=angle2

angle2=30

The variables 8 observations have x2 values of 2 or greater.

Two variables, x1 and x2, are present in the supplementary data set. There are a total of 20 observations in this data set. The x2 values for 8 of these 20 observations are equal to 2. Thus, x2 values of two were present in eight out of twenty observations, or 40%. The following 12 observations' x2 values do not add up to 2. Thus, 8 of the 20 observations in the data set have x2 values of 2 or higher.8 of these 20 observations have x2 values that are equal to 2. Thus, eight out of twenty observations, or 40 percent, had x2 values equal to two. The x2 values for the next 12 observations are not equal to 2. Consequently, 8 of the data set's 20 observations have x2 values of 2 or above.

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Answer:

y=-x-2

Step-by-step explanation:

slope-intercept form is y = mx+b

slope is change in y over change in x, which is -5-(-3)/(3-1) = -1

y = -x+b

plugging in a point, like (1,-3), we have -3 = -1+b. b = -3+1 = -2

y = -x-2

Slope

Equation in point slope form

Answer: 1898 miles

Step-by-step explanation:

Let the total distance of the trail be represented by x.

We are informed that 43% of the trail has been completed which is 816 miles, the total miles will then be:

43% × x = 816

43/100 × x = 816

0.43 × x = 816

0.43x = 816

x = 816/0.43

x = 1897.67

x = 1898 miles approximately

The total trip is 1898 miles

Answer:

8%

Step-by-step explanation:

10/125 * 100% = 8%

The slope and the intercept of both lines are the same. Because of that, the lines are identical.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. Write both equations in the slope-intercept form and compare.

The general form of the equation of the line is:-

y = mx + c

y=-2/5x+3

Solve the equation to form their general form.

2x+5y=15.

5y = 15 - 2x

y = ( 15 / 5 ) - 2 / 5x

On comparing the two lines it is observed that the lines are having the same slope and intercept.

Therefore, the slope and the intercept of both lines are the same. Because of that, the lines are identical.

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A. The comparison of the periods using the five number summary are

B. The box and whisker plot of the periods is attached

The readings of the periods are given as

The distributions of the periods will be compared using the five-number summaries. This is because the five-number summaries give the following statistical measurements

For the 7th Period, the summaries are

For the 3rd Period, the summaries are

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:

967.333333

Step-by-step explanation:

If you need to round it, it's 967.33

As a fraction, it's 2902/3 or 967 1/3