What is the measure of D?

The number of weeks required to have $67 left in the account is 13 weeks

Given the Parameters :

To obtain the number of weeks to have $67 left in the account, we substitute y = 67 into the equation and solve for x :

y = - 24x + 379

67 = - 24x + 379

Collect like terms

24x = 379 - 67

24x = 312

x = 312 / 24

x = 13

Therefore, the Number of weeks required is 13 weeks

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Answer:

So, she spends 3 hours more sleeping than doing the activities.

Step-by-step explanation:

Consider the provided information.

According to the graph, Avery spends 33% of time in sleeping and 19% of time in doing "other" activities.

There are 24 h in a day.

According to Sleep category: 33% of 24 is:

33 % of 24=0.33×24=7.92 h ≈8 hours  

We are rounding to 8 hr because the solution should be in hours as per the question requirement.

Other category: 19% of 24 is:

19 % of 24=0.19×24=4.56 h ≈5 hours  

The difference of time is:

8h-5h=3h

So, she spends 3 hours more sleeping than doing the activities.

One way the barber could cut 3 people's hair in 35 minutes is by spending 15 minutes on the first haircut and 10 minutes each on the second and third haircuts.

If a barber cuts 3 people's hair in 35 minutes and each haircut takes at least 10 minutes, the timing could look as follows: The first haircut, taking the most time, could be 15 minutes. The second haircut could take 10 minutes, which is the minimum time per haircut. The third haircut would also take 10 minutes. This allocation adheres to the conditions that the first haircut takes the most time, and each haircut takes at least 10 minutes.

Total time spent would be 15 minutes + 10 minutes + 10 minutes, which equals 35 minutes.

Answer:

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Step-by-step explanation:

The simplest form of adding the given fractions is [tex]\frac{1}{3}[/tex]

Given :

[tex]\frac{11}{12} +\frac{-7}{12}[/tex]

We need to add the fractions and write it in simplest form

To add any two fractions the denominators should be same

Here the denominators are same

so we combine the numerators

[tex]\frac{11}{12}+\frac{-7}{12}\\\frac{11-7}{12}\\\frac{4}{12}[/tex]

divide both sides by 4

so simplest for  is [tex]\frac{1}{3}[/tex]

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The measure of angle DCE is 90 degrees.

To find m <DCE, we need to use the fact that the angles in a triangle add up to 180 degrees.

Since m <DCF is 90 degrees, this means that DCF is a right angle. Therefore, the sum of m <DCF and m <DCE must be 180 degrees.

So, m <DCE = 180 - 90 = 90 degrees.

Answer:

D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.

Step-by-step explanation

Multiply the width by the length 38x112= 4,256

He has 4,400 tiles and only needs 4,256

4,400- 4,256= 144 left over tiles

we know that

Stacy and Neil painted [tex]280\ ft^2[/tex] of their living room wall with [tex]4/5\ gallon[/tex] of paint

so

by proportion

Find how many square feet can they paint with [tex]3[/tex] gallons of paint

[tex]\frac{280}{(4/5)} \frac{\ ft^{2} }{gallons} =\frac{x}{3} \frac{\ ft^{2} }{gallons} \\ \\x* \frac{4}{5} =3*280\\ \\x=\frac{5}{4}*3*280\\ \\x=1,050\ ft^{2}[/tex]

therefore

the answer is

[tex]1,050\ ft^{2}[/tex]

The square feet that can be painted with 3 gallons of paint is  1050 square feet.

The first step to take in order to determine the square feet that can be painted with 3 gallons, the square feet that can be painted with 1 gallon of paint has to be determined.

Number of square feet that can be painted with one gallon = 280 ft² ÷ [tex]\frac{4}{5}[/tex]

280 x [tex]\frac{5}{4}[/tex] = 280 feet

The second step is to determine the square feet can be painted with 3 gallons of paint.

280 feet x 3 = 1050 square feet.

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The pattern observed in rows 3 and 6 is that the elements in the 6th row are exactly twice the corresponding elements in the 3rd row.

In a multiplication table, each row represents the product of a particular number (the row number) with the numbers in each column. If we consider rows 3 and 6, they represent the products of 3 and 6 with the numbers in each column.

The pattern observed in rows 3 and 6 is that the elements in the 6th row are exactly twice the corresponding elements in the 3rd row.  This pattern holds true because each element in row 6 is twice the corresponding element in row 3.

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To divide 6.25 by 2.5, you can multiply both numbers by 10 to make it 62.5 divided by 25, which equals 2.5. Thus, 6.25 divided by 2.5 is 2.5.

To find this, we divide 6.25 by 2.5. First, we can make the divisor a whole number by multiplying both the divisor and dividend by 10, which will not change the value of the quotient:

6.25 × 10 = 62.5

2.5 × 10 = 25

Now, we divide 62.5 by 25:

62.5 ÷ 25 = 2.5

Therefore, 6.25 divided by 2.5 is 2.5.

Final answer:

To translate a polygon 3 units down and 4 units left, subtract 4 from the x-coordinate and 3 from the y-coordinate of each vertex. For example, the vertex (3, 0.4) would become (-1, -2.6) in prime notation after the translation.

Explanation:

If a polygon is translated 3 units down and 4 units left, the coordinates of the new image would change respectively. To find the new coordinates after the translation, the x-coordinate of each vertex will decrease by 4 (since it is moving left) and the y-coordinate will decrease by 3 (since it is moving down). For example, if the coordinates of a vertex are (x, y), after the translation, the new coordinates will be (x - 4, y - 3), which we denote using prime notation as (x', y').

So, if we are given the initial coordinates of the first vertex as (3, 0.4), then after the translation, the new coordinates will be:

x' = 3 - 4 = -1

y' = 0.4 - 3 = -2.6

Therefore, the new coordinates are (-1, -2.6), using prime notation to represent the translated vertex.