Tommy bought one dozen donuts. He gave one-sixth of the donuts to his wife. He then gave one-fifth of the remaining donuts to his son. He took the rest to work. How many donuts did Tommy take to work?

Hi,

[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

a)

[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]

b)

[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]

;)

Answer:

no solutions

Step-by-step explanation:

7x + 15 = 9x + 15 - 2x + 1

Combine like terms

7x+15 = 7x+16

Subtract 7x from each side

7x+15-7x = 7x+16-7x

15 =16

This is not a true statement so there are no solutions

[tex] \: \: [/tex]

Answer:

b. 2.34 x 10 ^-2

Step-by-step explanation:

0.0234 written as scientific notation is 2.349 x 10-2

Answer:

6

Step-by-step explanation:

15% of 40 is 6.

So 6 was absent.

Out of 40 students total 6 students were absent on the particular day.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Total number of students in a class = 40.

Also, 15% of the total students were absent on a fixed day.

To find the number of students who were absent,

Use percentage property,

Absent students = 40 x 15%

= 40 x 15/ 100

= 600 / 100

= 6

Total number of 6 students were absent on that day.

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Answer:

y = - 2x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y - 3 = 0 ( subtract 2x - 3 from both sides )

y = - 2x + 3 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, then

y = - 2x + c ← is the partial equation

To find c substitute (1, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - 2x + 1 ← equation of parallel line

Answer: It would be b.

Step-by-step explanation: A unit rate means a expression for 1. If you take the ratio 2:18 and change it to 1:X, you divide both sides by 2, and X is 9 meaning Steve travels 9 miles per hour.

Answer:

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Answer:

x < 57

Step-by-step explanation:

Answer:

y=2/7 x+38/7

Step-by-step explanation:

equation of the line y =ax+b;

a = 4-6/ -5-2

Answer:

Elena spends 1.5 hours washing clothes.

Step-by-step explanation:

12.5 / 100 = 0.125

0.125 x 12 = 1.5

The difference between the two perimeters is 32 yards.

Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.

Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:

= 2(10 + 4)

= 2 × 14

= 28 yards

The difference will be:

= 60 - 28

= 32 yards.

Answer:

18 glue sticks are left.

Step-by-step explanation:

There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!

Answer:

Step-by-step explanation:

im not sure and what do u mean by signs

Answer:

multiplie maybe i dont know what you mean-

Step-by-step explanation:

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

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Answer:

3

Step-by-step explanation:

-6+9=3

Step-by-step explanation:

well, we just do the multiplication and simplify by combining terms with the same base :

10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30

Hence, -52x + 30 is the evaluated expression.

Hoped this helped.

Answer:

13 yrs old

Step-by-step explanation:

104/8=13

Answer:

14 years ago

Step-by-step explanation:

birthday January 16

Answer:

Step-by-step explanation:

Multiply each # by 3 so 15 36 39

(15x36)/2=270

I'm sorry if its wrong.

The area of the right-angle triangle A'B'C' will be 450 square units.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Right Triangle ABC has sides of length 5 units, 12 units, and 13 units. The triangle is expanded by a scale element of 3 around point B.

Then the dimension of the right triangle is given as,

A'B' = 3 x 5 = 15 units

B'C' = 12 x 5 = 60 units

A'C' = 13 x 5 = 65 units

The area of the right-angle triangle A'B'C' will be given as,

A = (1/2) x 15 x 60

A = 15 x 30

A = 450 square units

The region of the right-point triangle A'B'C' will be 450 square units.

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The actual area of the closet floor is 3.52m.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

It has different lengths and widths.

We have,

Closet dimensions:

Length = 4.4 cm

Width = 3.2 cm

We need to convert the unit cm into meters.

We are given that,

2cm = 1m

Multiply 4.4/2 on both sides

4.4 cm = 4.4/2 x 1m

4.4 cm = 2.2 m

Length = 2.2m

Multiply 3.2/2 on both sides.

3.2 cm = 3.2/2 x 1m

3.2 cm = 1.6 m

Width = 1.6m

The actual area of the closet:

= length x width

= 2.2m x 1.6m

= 3.52m

Thus the actual area of the closet floor is 3.52m.

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Answer: 72 1/2 or 725/10 as mixed number

Step-by-step explanation:

Answer:

72.5/100

Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2

It will take about 5 years for her investment to grow to $2400.

The formula for calculating the compound amount is expressed according to the equation;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the given parameters into the formula to have:

[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]

Take the natural logarithm of both sides

[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]

Hence it will take about 5 years for her investment to grow to $2400

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Answer:

Step-by-step explanation:

The answer is 27

The value of x is 4.

The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.

The triangle has a perimeter of 73.

[tex]7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4[/tex]

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Answer:

none of the above

Step-by-step explanation:

it should be: 9.70/5 = 11/x

Answer:

e

Step-by-step explanation:

Answer:

a = m/c

Step-by-step explanation:

I translated the paragraph into these options.  Please check accuracy.

m = ca?

a = cm   No,  a = m/c

a = m/c Yes

c = am   No,  c = m/a

c = a/m  No,  c = m/a

The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

Given to us:

[tex]m=ca[/tex]

dividing both sides by c, we get

[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]

canceling c from right hand side, we get

[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]

Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

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Answer:

A. Angle E = 30° and angle D = 60°

Step-by-step explanation:

tan(E) = Opposite/Adjacent

tan(E) = 5/8.66

E = tan^-1(5/8.66)

E = 30°

There's 180° in a triangle, and this is a right triangle.

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60

D = 60°

The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

Given that,

Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.

We have to determine,

Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?

According to the question,

Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,

the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Substitute the values in the equation,

[tex]\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute[/tex]

If 1 mile = 5,280 feet, then his speed is,

[tex]\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\[/tex]

And 1 minute = 60 seconds, then his speed is,

[tex]\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second[/tex]

Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

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Answer:

$237.50

Step-by-step explanation:

5/100=.05

250•.05=12.5

250-12.5=237.50

Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it