Use the distributive property to write an expression equivalent to 3x+21. *

Answer: 960 crayons

Step-by-step explanation:

From the question, we are informed that Mr Andrew bought 15 boxes of crayons at the store to share with his students and that each box contains 64 crayons.

The equation that represents ​c​, the total number of crayons that Mr. Andrew bought will be:

C = 15 × 64

= 960 crayons

Answer: the measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. this means that the angles of the polygon are preserved as the figure is translated in any direction

Answer:

The opposite sides of quadrilateral ABCD have equal slopes, which means the opposite sides are parallel. Therefore, by definition, quadrilateral ABCD is a parallelogram.

Plato

The slope of the line u is -8/7.

What is a line?

⇒ A mark connecting two points, something stretched between two things, or two or more people standing in a row is called a line.

What is a slope?

⇒ The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

What is the rule for the slope of perpendicular lines?

⇒ The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1 / m.

Calculation:

It is given that the line u and the line t are perpendicular to each other

We also know that If two lines are perpendicular to each other, then their slopes will be negative reciprocals of each other.

We have been given that the line t has a slope of 7/8, Its negative reciprocal will be the slope of line u

Slope of line u = -{1/(7/8)}

= (-8/7)

⇒Hence, the slope of the line u is -8/7.

Learn more about the slope of perpendicular lines here:

brainly.com/question/1417258

#SPJ9

The values that are solution of stated inequality expression are -8,-4,0 and 1.

The stated expression represents inequality. Hence, the solution will provide a range rather than a specific number as a resultant value. We will solve it in similar method to inequality.

Rearranging the expression in terms of 4t

4t ≤ 10 - 6

Subtracting the digits on Right Hand Side of the expression

4t ≤ 4

Rewriting the expression

t ≤ 4/4

Dividing the value on Right Hand Side of the equation

t ≤ 1

The values will be 1 or less than 1. Thus, the solution values are -8,-4,0 and 1.

Learn more about inequality -

https://brainly.com/question/25275758

#SPJ4

The complete question is -

Determine which of the values is a solution of 4t+6≤10

Values = -8,-4,0,1,3,7

Answer:

12.50/100 X 110 = 13.75

13.75-12.50 = 1.25

12.50/100 X 109 = 13.625

13.625 + 1.25 = 14.875

monetary unit round to 2dp

$14.88

Answer:

the remNING MAS IS 345

Step-by-step explanation:

I DID THIS BEFORE

Answer:

1) 3rd one down   1  7/12 ( the one you've selected well doneee)

2)pretty sure its also the 3rd one down ( don't come for me if its wrong)

Step-by-step explanation:

4 1/6 = 25/6

5  3/4= 23/4

25/6   x4=    100/24

23/4  x 6 = 138/24

138/24  - 100/24  = 38/24

divide by 2:

19/12= 1   7/12

To evaluate the given integral, we can rewrite the integrand by completing the square as \((x - 3)^2(16 + 6x - x^2)^{(3/2)} dx\) and simplifying it further.

The given integral is \(\int(x^2- 6x + 9)(16 + 6x - x^2)^{(3/2)} dx\). We can simplify the integrand by completing the square.

First, let's rewrite the integrand as \((x - 3)^2(16 + 6x - x^2)^{(3/2)} dx\). We complete the square by factoring out the perfect square term (x - 3)² from the expression x² - 6x + 9.

Now, the integrand becomes \((x - 3)^2(16 + 6x - x^2)^{(3/2)} dx\).

To simplify further, we can use substitution or expand the expression and integrate each term separately. However, without additional information or constraints, we cannot simplify the expression any further or provide an exact value for the integral.

Therefore, the simplified form of the integral is \(\int(x - 3)^2(16 + 6x - x^2)^{(3/2)} dx\),  and further evaluation or simplification would require additional steps or constraints.

Learn more about integral here:

https://brainly.com/question/31433890

#SPJ11

Answer:

Volume = Length × Width × Height. Use this formula.

Let Fn be the number of ways of arranging such flagpole with the given conditions.

When arranging a flagpole of n feet high, consider the following cases

If the last flag used is a red flag, then the other flags are n-1 foot high, so they can be seen as arranged on a smaller flagpole of n-1 feet high, which can be done in Fn-1 ways.

Similarly, If the last flag used is a gold flag, then the other flags can be seen as arranged on a smaller flagpole of n-1 feet high. This can be done in Fn-1 ways.

If the last flag used is green, the other flags are n-2 feet high, so the flagpole can be arranged in Fn-2 ways.

Using the sum rule, we obtain that Fn = 2Fn-1 + Fn-2 for all n≥3. Listing all the combinations of flags, the initial conditions are F1 = 2 and F2 = 3.

To Learn more about similar flagpole questions:

https://brainly.com/question/14277535

#SPJ4

Answer:Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place value you want. If you type in a number you wish to round below, and select what place value you want to round it to, this selection will show you how to round it!

Step-by-step explanation:

If the yearly cost for the dental claims are normally distributed , then the yearly cost at which 35% of the employee fall at or below is $91.35  .

In the question ,

it is given that ,

the yearly cost for the dental claims are normally distributed ;

and the mean (μ) is 105 , standard deviation(σ) is 35 .

we know that the z value that corresponds to 35th percentile from standard normal table is : z = -0.385  ;

let the yearly cost be "x" ;

the yearly cost can be calculated using the formula ;

x = z×(σ) + μ

x = (-0.385)×35 + 105

Simplifying further ,

we get ;

x = 91.525

x ≈ 91.53

Therefore , the correct option is (d) 91.53  .

The given question is incomplete , the complete question is

The yearly cost of dental claims for the employees of the local shoe manufacturing company is normally distributed with a mean of $105 and a standard deviation of $35. what is the yearly cost at which 35% of the employees fall at or below is ?

(a) $118.48

(b) $127.29

(c) $82.71

(d) $91.53

Learn more about Yearly Cost here

https://brainly.com/question/14272357

#SPJ4

Answer: 30 baskets.

Step-by-step explanation:

You need to find the Greatest Common Factor (GCF).

240 (apples) = 2 x 2 x 2 x 2 x 3 x 5

150 (pears) = 2 x 3 x 5 x 5

GCF (240, 150) = 2 x 3 x 5

                         = 30

You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.

Answer:

30 baskets

Step-by-step explanation:

The population of bacteria after 672 hours is 36000.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question we have

The number of bacteria double is 336 hours.

And, the current population of bacteria is 9,000.

Therefore,

The population of bacteria after 336 hours = 9,000×2 = 18,000

⇒ the population of bacteria after 672 hours  = 18000 × 2 = 36000  

Hence, the population of bacteria after 672 hours is 36000.

Learn more about Unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

65% of 40 is 26

26 is answer

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 40.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$40=100\%$.

Step 4: Similarly, $x=65\%$.

Step 5: This results in a pair of simple equations:

$40=100\%(1)$.

$x=65\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{40}{x}=\frac{100\%}{65\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{40}=\frac{65}{100}$

$\Rightarrow x=26$

Therefore, $65\%$ of $40$ is $26$

Answer:6 is the correct answer

Step-by-step explanation:

Because 16 + 20 equals 36 and the sq root of 36 is 6. So you chose the correct answer.

Answer:

6

Step-by-step explanation:

\(\sqrt{16+20}\)

\(\sqrt{36}\)

6

Answer:

1190 m^3

Step-by-step explanation:

l = 1700 cm = 17 m

b = 14 m

h = 1000 cm = 10 m

Total volume = l × b × h

= 17 × 14× 10

= 2380 m^3

since it is half filled ,

Volume is half , so,

volume of water in pond = 2380 ÷ 2

= 1190 m^3

The velocity is halved, the kinetic energy is halved.

Joint variation is variation in which a quantity varies as two or more variables.

Since the kinetic energy, K, of an object varies jointly with its mass, m, and the square of its velocity, v., we have that

K ∝ mv²

⇒ K = kmv²

Since the mass of an object stays the same, but the velocity of the object is halved. How is the kinetic energy of the object affected, we see that the

So, K' = km(v/2)²

K' = kmv²/4

K' = (kmv²/2)/2

K' = K/2

Since the velocity is halved, the kinetic energy is halved.

Learn more about kinetic energy here:

https://brainly.com/question/25959744

#SPJ1

Answer:

The kinetic energy is quartered.

Step-by-step explanation:

Answer:

The speed of the car is 75 mph.

The speed of the truck is 56 mph.

Step-by-step explanation:

Call the speed of the truck (x) miles per hour. As per the given information, the car is (19) miles per hour faster. Thus, one can form expressions to represent the speeds of the vehicles.

car = ( x + 19 ) mph

truck = ( x ) mph

Using the formula, ( (speed) * (time) = (distance) ), one can say that the speed of the car, times the time it took plus the speed of the truck times the time will equal the distance between the two vehicles:

(( car speed )( time )) + (( truck speed )( time )) = ( distance between vehicles )

Substitute,

( ( x + 19 ) ( 8 ) ) + ( ( x ) ( 8 ) ) = 1048

Simplify,

8x + 152 + 8x = 1048

16x + 152 = 1048

       -152     -152

16x = 896

/16     /16

x = 56

Add (19) to find the speed of the car:

truck speed + 19

= 56 + 19

= 75

The speed of the car is 75 mph.

The speed of the truck is 56 mph.

Answer:

The truck traveled at 81

mph. The car traveled at 100

mph.

Step-by-step explanation:

The revolutions the wheel will have to make before the car comes to a complete stop are approximately 25.5 revolutions.

To find out how many revolutions the wheel will have to make before the car comes to a complete stop, we need to use the information provided about the distance and diameter of the wheel.

First, we need to convert the diameter from centimeters to meters: 61 centimeters = 0.61 meters.

Next, we can use the formula for the circumference of a circle: C = πd, where C is the circumference and d is the diameter.

So the circumference of the wheel is: C = π(0.61m) = 1.92m.

Now we can use the distance the car can stop in, 49 meters, to calculate the number of revolutions of the wheel:

49m ÷ 1.92m/rev ≈ 25.5 revolutions.

Therefore, the wheel will have to make approximately 25.5 revolutions before the car comes to a complete stop.

More on revolutions: https://brainly.com/question/28454186

#SPJ11

Answer:

A)365

Step-by-step explanation:

Answer:

a) 365

b) 700

c) 76.5

Answer:

Part A: (C) 16 square inches

Part B: (C) 36 square inches

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

For more such questions on sample variance

https://brainly.com/question/28542390

#SPJ8

Answer:

y=1/4x-2

Step-by-step explanation:

formula

y=mx+b

Answer:

100/65 because 0.65 is a decimal number

Step-by-step explanation:

hope this helped

have a great day

Answer:

Hello. y=1/2x-2

Step-by-step explanation:

The line that is perpendicular to this line ،its slope must be 1/2

So:

\(y - y0 = m(x - x0) \\ y - 2 = \frac{1}{2} (x - 8) \\ y = \frac{1}{2} x - 2\)

Answer:

Assuming that AED is the currency:

Step-by-step explanation:

The question notes that if the TV is 3 the bike would be 2.

8000*1.5 = 12000

Answer would be 12000 AED, because you multiply the bike by 3/2

Answer: Graph A and C

Step-by-step explanation:

Answer: a&c

Step-by-step explanation:

2020edg