What is the missing number in the synthetic division problem below?

Answer:

He should have 3 pencils in each package.

Step-by-step explanation:

you would do 7272 divided by  2424 so that there is a pencil for each calculater.

Answer:

The number of pencils in each package is 3.

Step-by-step explanation:

The total number of pencils = 7272

The number of calculators = 2424

He has to create greatest number of package and the condition is he has to use all the calculator and pencils.

The minimum number is 2424 which is number of calculators, So he can create maximum of 2424 packages. He must use all 7272 pencils.

So to find the number of pencils, we need to divide the number of pencils by the number of calculators.

The number of pencils in each package = [tex]\frac{7272}{2424}[/tex] = 3

The number of pencils in each package is 3.

Answer: 51.4 hours

Step-by-step explanation: To figure out the answer to this equation you would divide the cost by how much you make, 475.45÷9.25=51.4

Ryan would need to work approximately 51.51 hours to earn enough money to pay for the guitar.

To find the number of hours Ryan had to work to pay for the guitar, we need to divide the cost of the guitar by his hourly wage.

Divide $475.45 (cost of the guitar) by $9.25 (Ryan's hourly wage):

$475.45 / $9.25

≈ 51.51

This calculation shows that Ryan would need to work approximately 51.51 hours to earn enough money to pay for the guitar.

To check the answer, multiply the number of hours (51.51) by Ryan's hourly wage ($9.25):

51.51 x $9.25 ≈ $476.33

The result is close to the cost of the guitar ($475.45), allowing for small discrepancies due to rounding or decimal approximations. Therefore, this confirms that Ryan would indeed need to work around 51.51 hours to cover the cost of the guitar.

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Answer: 153

I think the answer is 153 because you have to do 950-30 and then divide it by 30 after you do that you multiply it by 5 and get 153.000000...

So you round it to the nearest whole number and that's 153

The resale value of a laptop after 5 years with a 30% decrease in value each year, follows the step-by-step calculation provided.

The resale value of a laptop after each year decreases by 30%. To calculate the resale value after 5 years, we need to consider the decreasing value each year:

After 1 year: $950 - $950 x 30% = $665

After 2 years: $665 - $665 x 30% = $465.50

After 3 years: $465.50 - $465.50 x 30% = $325.85

After 4 years: $325.85 - $325.85 x 30% = $228.10

After 5 years: $228.10 - $228.10 x 30% = $159.67

Answer:

13.1

Step-by-step explanation:

Note the place values

1 : tens

3 : ones

.  (decimal point)

0 : tenths

9 : hundredths.

Solve for the tenths place value. Note the hundredth value, it is a 9

Because 9 is greater than 5, round up.

13.09 rounded to the nearest tenth is 13.1

~

To round 13.09 to the nearest tenth, we increase the tenths place by 1 since the hundredths place is 9. Thus, the number rounds up to 13.1.

The question asks to round the number 13.09 to the nearest tenth. To do this, we look at the hundredths place, which is 9 in this case. Since the digit in the hundredths place is 5 or more, we round the digit in the tenths place up. Therefore, 13.09 rounded to the nearest tenth is 13.1.

Answer: 19/24

Step-by-step explanation:

3/8

+

5/12

=

(3 × 12) + (5 × 8)

8 × 12

=

76/96

=

76 ÷ 4

96 ÷ 4

=

19/24

Answer:

The answer is 41

Step-by-step explanation:

37+ 12 + 22 + 43 + 57 + 58 + 58 = 287

287/7 = 41

Answer:

value of 'u'= -54

Step-by-step explanation:

[tex]30 = -\frac{5}{9}u[/tex]

To eliminate any number  , we always do opposite operation

To remove denominator 9, we multiply both sides by 9

[tex]30*9 = -\frac{5}{9}*9*u[/tex]

270 = -5u

To remove -5 we divide by -5 on both sides

[tex]\frac{270}{-5} = \frac{-5u}{-5}[/tex]

-54= u

So value of u= -54

Answer:

they each used 1.5 quarts    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

10.5 ÷ 7 = 1.5 QUARTS FOR EACH GROUP

To find out the amount of water each group used, the total quantity of water, 10 1/2 quarts, should be divided by the number of groups, which is 7. This gives the result of each group using around 1.5 quarts.

To find out how many quarts each group used in the experiment, you would need to divide the total amount of water by the number of groups. In this case, you would divide 10 1/2 quarts by 7 groups.

First, you need to convert the mixed number 10 1/2 to an improper fraction or a decimal. 10 1/2 equals 21/2 or 10.5 in decimal form.

So, 10.5 quarts divided by 7 groups equals approximately 1.5 quarts.

Therefore, each group used 1.5 quarts of water for their experiment.

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Answer:

D

Step-by-step explanation:

The diagonals of a rhombus intersect at right angles. So sneaky!!

So the third angle of the triangle containing the two base angles is 90 degrees.

Answer:

For 21 picks, there are 6 orange

Step-by-step explanation:

orange: green   : total

2               5            2+5

2             5              7

If there are 21 picks, we need to divide by 7  to see how many times we need to multiply

21/7 = 3

Multiply everything by 3

orange: green   : total

2*3          5*3          7*3

6                 15           21

For 21 picks, there are 6 orange

Answer:

5.5 h  

Step-by-step explanation:

There is an inverse relationship between the time (t) it takes to do a job and the number (n) of workers (the more workers. the faster the work gets done).

t = k/n             Divide both sides by n

t/n = k

If we have two different numbers of workers, then

t₁/n₁ = t₂/n₂     Multiply each side by n₂

t₂ = t₁ × n₁/n₂

t₂ = 22 × 1/4

t₂ = 5.5 h

d. x=11, y=-5,  z= -71

To solve the given system of equations, we use the method of substitution. The solution is x = 11, y = -5, z = -71.

To find the solution of the given system, we can use the method of substitution.

From the first equation, we have x = -3y - 4. Substituting this value for x in the second equation, we get -3y = 2(-3y - 4) - 7.

Solving this equation, we find y = -5. Substituting this value of y back into the first equation, we can solve for x. Plugging in y = -5, we get x = 11. Substituting these values for x and y in the third equation, we can find z. Plugging in x = 11 and y = -5, we get z = -71.

Therefore, the solution to the system is x = 11, y = -5, and z = -71.

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Answer:

The number of hamburgers sold was 126.

Step-by-step explanation:

Let h = number of hamburgers sold

let c = cheeseburgers sold

c+h = 378

c = 2h

Substitute c =2h into c+h =278

c+h =378

2h+h = 378

Combine like terms

3h = 378

Divide by 3

3h/3 =378/3

h =126

The number of hamburgers sold was 126.

Final answer:

To determine how many hamburgers were sold, we set up a system of equations and found that 126 hamburgers were sold.

Explanation:

The local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. We are told that the number of cheeseburgers sold was 2 times the number of hamburgers. We can set up a system of equations to solve this problem using h to represent the number of hamburgers and c to represent the number of cheeseburgers:

h + c = 378 (the total number of burgers sold)

c = 2h (the number of cheeseburgers was 2 times the number of hamburgers)

Now let's substitute the second equation into the first to solve for h:

h + 2h = 378

3h = 378

h = 378 ÷ 3

h = 126

Therefore, the number of hamburgers sold was 126.

Answer:

x ≥ 5y

y ≤ 25

x ≤ 200

Step-by-step explanation:

It is given that Trisha wants to use at least 5 times as many key chains as thumb drives.

x represents the number of key chains and y represents the number of thumb drives.

Therefore, x ≥ 5y.

Total number of thumb drives is 25.

Therefore, y ≤ 25.

Total number of key chains is 200.

Therefore, x ≤ 200.

Answer:

x≥5y

x+y≥50

y≤25

Answer:

1.A =113.04  cm^2

2.A =616  in^2

Step-by-step explanation:

To find the area of a circle we use the formula

A = pi * r^2  if we know the radius or

A = pi * (d^2/4) if we know the diameter

In problem 1 we know the radius

A = pi * r^2

A = pi * (6)^2

A = 36*pi

Using 3.14 for pi

A = 36* 3.14

A =113.04  cm^2

In problem 2 we know the diameter

A = pi * d^2/4

A = pi * (28)^2/4

A = pi 784/4

A = 196

Using 22/7 for pi

A = 196*22/7

A =616  in^2

Answer:

1. Area of the circle with 6 cm radius is [tex] 113.14 cm^2[/tex].

2. Area of the circle with 28 cm diameter is [tex] 616 cm^2[/tex].

Step-by-step explanation:

1. Radius of the circle ,r=  6 cm

Area of the circle , A= [tex]\pi r^2[/tex]

[tex]A=\pi (6 cm)^2=\frac{22}{7}\times 6 cm\times 6 cm=113.14 cm^2[/tex]

Area of the circle with 6 cm radius is [tex] 113.04 cm^2[/tex].

2. Diameter of the circle = d = 28 cm

Radius of the circle , r = [tex]\frac{28 cm}{2=14 cm[/tex]

Area of the circle , A= [tex]\pi r^2[/tex]

[tex]A=\pi (14 cm)^2=\frac{22}{7}\times 14 cm\times 14 cm=616cm^2[/tex]

Area of the circle with 28 cm diameter is [tex] 616cm^2[/tex].

 Given question is incomplete; here is the complete question.

How did the temperature change if: at first it increased by 25 % and then decreased by 40% ?

   Temperature will finally decrease by 25%.

Let the initial temperature is x° C,

If the temperature is increased by 25%,

Then the final temperature = x° + 25% of x°

                                             = [tex]x+\frac{25x}{100}[/tex]

                                             = [tex]x+0.25x[/tex]

                                             = [tex]1.25x^\circ[/tex]

Followed by the decrease in temperature by 40%,

Then final temperature = 1.25x° - 40% of (1.25x°)

                                       = 1.25x° - 0.5x°

                                       = 0.75x°

Therefore, percentage decrease in temperature from initial temperature x°,

Percentage decrease = [tex]\frac{x^\circ-0.75x^\circ}{x^\circ}\times 100[/tex]

                                    = 25%

    Temperature will finally decrease by 25% when increased initially by 25% then decreased by 40%.

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Answer:

Her shadow is 7.5 feet

Step-by-step explanation:

The ratios are the same so

Cello case height                cello shadow

--------------------------  =      ---------------------------

  woman height                   woman shadow

 4          6

__   =  ___    cross multiply

  5          x

4(x) = 6(5)

4x  =  30

/4       /4

 x = 7.5

the shadow of the woman will be 7.5 feet.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, A 5-foot woman stands near a 4-foot cello case. The cello case casts a shadow that is 6 ft long.

Since the shadows are made because of the light of the Sun. thus we will assume the Angle of Light source will be the same.

So In angles are the same then

Base and perpendicular will be in proportion as per the Pythagorean theorem

So,

Women's height/cello's height = Women's shadow/cello's shadow

=> 5/4 = women's shadow/ 6

=> women's shadow = 7.5 ft

Therefore, the shadow of the woman will be 7.5 feet.

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Answer:

(n-2) * 180

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon with n sides is

(n – 2)180

Answer:

[tex]x=2.8[/tex]

Step-by-step explanation:

we are given that

line passes through (2,-1) and (6,4)

Firstly, we will find equation of line

First point is (2,-1)

x1=2, y1=-1

second point is (6,4)

x2=6 , y2=4

now, we can find slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

now, we can plug values

[tex]m=\frac{4+1}{6-2}[/tex]

[tex]m=\frac{5}{4}[/tex]

now, we can use point slope form of line

[tex]y-y_1=m(x-x_1)[/tex]

now, we can plug values

[tex]y+1=\frac{5}{4}(x-2)[/tex]

since, we have to solve for x from (x,0)

so, we can set y=0

and then we can solve for x

[tex]0+1=\frac{5}{4}(x-2)[/tex]

[tex]5\left(x-2\right)=4[/tex]

[tex]x-2=\frac{4}{5}[/tex]

[tex]x=\frac{14}{5}[/tex]

[tex]x=2.8[/tex]

Answer: (3√14)/14

Step-by-step explanation: you should go buy a scientific calculator Casio or a TI calculator not much about $10 i will help a lot

Answer:

diagram and the SAS Congruence Postulate to prove the two triangles are congruent. Explain Henry's mistake. LOGICAL REASONING Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, tell which congruence postulate you would use.

Step-by-step explanation:

Answer:

Each employee will need to contribute $55.

Step-by-step explanation:

275 / 5 = 55

Answer:

275 / 25 = 11    25 goes into 275 11 times

Step-by-step explanation:

Answer:

r < -7 or r > 10

Step-by-step explanation:

-2|3 - 2r| < -34

|3 - 2r| > 17      (Note the inequality sign flips because we divide by negative)

Now we split it up into 2 inequalities :-

3 - 2r > 17

-2r > 14

r  < -7     (answer)

and

3 - 2r < -17

-2r < -20

r > 10  (answer).

Answer:

r > 10 or r < - 7

Step-by-step explanation:

isolate the absolute value by dividing both sides by - 2

| 3 - 2r | > 17

Inequalities of the type | x | > a always have solutions of the form

x < -a OR x > a, hence

3-2r < - 17 or 3 - 2r > 17 ( subtract 3 from each interval )

- 2r < - 20 or  - 2r > 14 ( divide both intervals by - 2 )

Remembering to reverse each inequality symbol as a result of dividing by a negative quantity.

r > 10 or r < - 7

Answer:

225 m

Step-by-step explanation:

Since we know they are similar triangles

8                15

---------- = -----------  

120              bridge

Using cross products

8 * bridge = 15* 120

8* bridge = 1800

Divide each side by 8

8/8* bridge = 1800/8

bridge = 225

Answer:

225m

Step-by-step explanation:

the 2 triangles shown are similar by AAA

so their sides are in the same ratio

bridge/15 = 120/8

bridge length = 15*15 = 225m

Answer:

You should buy from the first store

Step-by-step explanation:

Since there are 4 quarts in a gallon, we will need to multiply .80 by 8 to figure out how much it costs for 2 gallons. This will be $6.40 for the second store, and in order to find out how many the first store offers, we multiply 3 by two, which is six.

So, the first store charges $6.00 for two gallons, and the second store does $6.40 for two gallons of milk

Answer:

The first store.

Step-by-step explanation:

This is easy, multiply 0.80 x 4 since there are four quarts in a gallon. You get 3.20. Then, multiply 3.20 by 2 to get 6.40 and 3.00 by 2 to get 6.00.

So

Store number one: $6.00

Store number two: $6.40

Answer:

A coordinate is one of a set of numbers used to identify the location of a point on a graph. Each point is identified by both an x and a y coordinate.

Step-by-step explanation:

Answer: This is a function

There are no repeated x values. Each x value is paired with exactly one y value. If you had an input of something like x = 3 lead to y = 5 and y = 8 at the same time, then it wouldn't be a function.

If you want, you can graph all five of these points, as is shown in the attached image below. You'll notice that it is impossible to draw a vertical line through more than one of these five points. The graph therefore passes the vertical line test to visually confirm we have a function.

Answer:

He should get gas before leaves because if 1cm=40km       3.8=150km

Step-by-step explanation:

Answer:

She will sell aproximately 13 dresses sold in 1 hour.

Step-by-step explanation:

Answer:

16/21

Step-by-step explanation: