Find the diagonal of the rectangular solid with the given measures.
l = 2, w = 3, h = 6

√(46)
7
2√(10)

Answer:

-7

Step-by-step explanation

Answer:

Option C. X=A/4

Step-by-step explanation:

we know that

The area of the rectangular post it note is equal to

[tex]A=LW[/tex]

where

L is the length

W is the width

In this problem we have

[tex]W=4\ in\\L=X\ in[/tex]

substitute

[tex]A=4X[/tex]

solve for x

That means ----> isolate the variable x

Divide by 4 both sides

[tex]X=\frac{A}{4}[/tex]

Answer:

595 will be approved.

Step-by-step explanation:

Multiply 648 by 0.918:  the result is 594.9, which should be rounded up to 595.

Answer:

y=5x-10

Step-by-step explanation:

y+10=5x

y=5x-10

Answer:47

Step-by-step explanation:

Answer:

47 feet

Step-by-step explanation:

92 feet-45 feet= 47 feet

Answer is 47 feet

The explicit rule for the number of marbles in 10th row is An= 12+ n-1.

Step-by-step explanation:

Therefore, for the remaining 9 rows out 10 rows ⇒ 9 marbles are added.

For n= 10, then

⇒ A10 = 12 + (10-1)

⇒ A10 =12+9 = 21

Answer:

A(n)=11+n

Step-by-step explanation: took test

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

Step-by-step explanation:

We need to find quotient of x^2+3x+2 divided by x+1

The division is shown in figure attached.

Quotient: x+2

Remainder: 0

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

Answer:

x+2

Step-by-step explanation:

Answer:

1 and 4.

Step-by-step explanation:

i just did it

Matt said the solution 1/20 is the correct answer.

Step-by-step explanation:

step 1 :

one fifth ÷ 4 = one part in five equal parts / 4

                    = (1/5) / 4

The expression can be written as (1/5) / (4/1)

step 2 :

To solve the division of fractions, take reciprocal of the denominator and do multiplication.

The reciprocal of denominator (4/1) is 1/4.

step 3 :

(1/5) / (4/1) = (1/5) [tex]\times[/tex] (1/4)

                = 1/20

∴ Matt said the solution is 1/20 is correct.

Answer:

Scientific Notation:

4.2 × 10^-3

E-Notation:

4.2e-3

Engineering Notation:

4.2 × 10^-3

Real Number:

0.0042

Step-by-step explanation:

Answer:

a) Length = (20 - 2x) inches

Width = (15 - 2x) inches

b) Volume = (20 - 2x)(15 - 2x)x cubic inches.

Step-by-step explanation:

A metalworker makes a box from 15 inches by 20 inches piece of tin by cutting a square with a side length x out of each corner and folding up the sides.

a) So, the length of the box will become (20 - 2x) inches.

And, the width of the box will become (15 - 2x) inches.

b) The volume of the box will be = (Length × Width × Height)

= (20 - 2x)(15 - 2x)x cubic inches. (Answer)

Answer:

She will exercise for 6 hours in four weeks.

Step-by-step explanation:

Summer exercises for 0.5 hour on Monday, 0.5 hour on Wednesday, and 0.5 hour on Friday. There are 3 days where she exercises for 0.5 hour.

3 days X 0.5h = 1.5h each week

For four weeks, multiply the hours each week by 4.

1.5h X 4 weeks = 6h

Therefore Summer will exercise for 6 hours over the course of 4 weeks.

Answer:

6 hours

Step-by-step explanation:

We know that Summer exercises for 0.5 (Or a half) hour every day, three days a week (Monday, Wednesday, Friday). We need to found out how many hours she exercises in 4 weeks.

To solve this we first find out how many hours she exercises in one week. To do so, we set up an equation like this:

(Time exercising) x (# of days exercising) = (Hours spent exercising in one week)

Plug in the given numbers:

0.5 x 3 = 1.5 hours

If we know she exercises 1.5 (Or one and a half) hours in 1 week, we multiply this number by 4 to find out how many hours she exercises in 4 weeks. This can be shown in an equation like this:

1.5 x 4 = 6

So Summer will exercise for 6 hours in 4 weeks.

Answer:

.

Step-by-step explanation:

Answer:

5/9.

Step-by-step explanation:

Prob ( first  dice = 2 and second = 2) = 1/2 * 1/2 = 1/4

Prob ( first  = 2 , second = 4) = 1/2 * 1/6 = 1/12

Prob ( first = 4 and second = 2) = 1/12.

Prob ( first = 3 and second = 1 ) = 1/36

Prob ( first = 1 and second = 3) = 1/36.

Prob ( first = 3 and second = 3) = 1/6 *1/6 = 1/36.

Prob (first = 1 and second = 1 = 1/36.

Prob (first = 4 and second = 4 = 1/36.

Required probability is the sum of these which is:

5/9.

I hope I've thought of all the possible outcomes.

Answer:

you have to multiply to get the answer because it's an area not premiter. premiter you at all at once

Answer:

Total area= [tex]28 +25.12= 53.12[/tex] square feet

Step-by-step explanation:

The total area of the 2-D figure= Area of triangle in the fig. + Area of the semicircle in it.

Area of the triangle in the figure [tex]=\frac{1}{2}*Base*Altitude \\\\=\frac{1}{2}*8*7\\\\ =\frac{56}{2} \\\\=28[/tex] square feet

Area of the semicircle=

                                              [tex]\frac{\pi r^2}{2} \\\\\frac{3.14*4*4}{2}\\\\ 3.14*8\\\\25.12square feet[/tex]

Total area= [tex]28 +25.12= 53.12[/tex] square feet

Answer:

[tex](ab)(x)[/tex]

Step-by-step explanation:

The complete question in the attached figure

we have

[tex]a(x)=2x-4\\b(x)=x+2[/tex]

we know that

(ab)(x) is equal to the product of a(x) and b(x)

so

[tex](ab)(x)=(2x-4)(x+2)[/tex]

Applying distributive property

[tex](ab)(x)=2x(x)+2x(2)-4(x)-4(2)[/tex]

[tex](ab)(x)=2x^2+4x-4x-8[/tex]

[tex](ab)(x)=2x^2-8[/tex]

This is a quadratic equation

The other expressions not produce a quadratic equation

Answer:

3/2d

Step-by-step explanation:

ad 5 and 4 then subtracts 6 from both sides then divide 2 from 3 and get 3/2

Ahmed cannot have total of 30 coins in his pocket

Solution:

Given that,

There are 5 pennies for every 6 quarters in Ahmed's pocket

We are asked if Ahmed can have a total of 30 coins in his pocket

From given,

5 pennies for every 6 quarters

Therefore, ratio is:

penny : quarter = 5 : 6

Total = 5 + 6 = 11

Then the total number of coins must be multiple of 11

But 30 is not a multiple of 11

Therefore, Ahmed cannot have total of 30 coins in his pocket

No, Ahmed cannot have a total of 30 coins in his pocket.

Yes, Ahmed could have a total of 30 coins in his pocket.

To determine how many quarters and pennies Ahmed could have, we can set up a ratio.

The ratio of pennies to quarters is 5:6.

Let the number of quarters be represented by 6x, where x is a positive integer. Then, the number of pennies would be 5x.

To find out if Ahmed could have a total of 30 coins, we need to solve the equation 6x + 5x = 30.

Combining like terms, we obtain 11x = 30. By dividing both sides of the equation by 11, we find that x = 2.7272 (repeating).

Since x must be a positive integer, we can conclude that Ahmed cannot have a total of 30 coins in his pocket.

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Answer:

18

Step-by-step explanation:

15 + Percentage increase =

15 + (20% × 15) =

15 + 20% × 15 =

(1 + 20%) × 15 =

(100% + 20%) × 15 =

120% × 15 =

120 ÷ 100 × 15 =

120 × 15 ÷ 100 =

1,800 ÷ 100 =

18

Answer:

1

Step-by-step explanation:

Answer:

f(x)=-7x is the only one linear

Step-by-step explanation:

I'm wondering if this is mistake or not with your question, but if you graph each function, all but one graph is linear.

68 m/s was her average speed

Amy's average speed was 68 mph (miles per hour)

From the question, we are to determine what Amy's average speed was

Average speed can be calculated by using the formula,

[tex]Average\ speed =\frac{Distance}{Time}[/tex]

From the given information,

Distance covered = 204 miles

Time = 3 hours

Then

Average speed = [tex]\frac{204}{3}[/tex]

Average speed = 68 mph (miles per hour)

Hence, Amy's average speed was 68 mph (miles per hour)

Learn more on Calculating average speed here: https://brainly.com/question/6504879

Answer:

$39.15

Step-by-step explanation:

87 x .55 = 47.85

87-47.85= 39.15

Answer:

$39.15

Step-by-step explanation:

87 x 55%

87 x 0.55 = 47.85

87 - 47.85 = 39.15

Answer:

B. $106,000

Step-by-step explanation:

Question:

Given tan B =7/24, find the sin B

Answer:

Option A

[tex]sin\ B = \frac{7}{25}[/tex]

Solution:

Given that,

[tex]tan\ B = \frac{7}{24}[/tex]

We have to find sin B

We know that by trignometric ratios,

[tex]tan = \frac{opposite}{adjacent}[/tex]

From given,

[tex]tan\ B = \frac{7}{24}[/tex]

On comparing we get,

Opposite = 7

Adjacent = 24

We can find the hypotenuse

[tex]hypotenuse^2 = opposite^2 + adjacent^2\\\\hypotenuse^2 = 7^2 + 24^2\\\\hypotenuse^2 = 49 + 576\\\\hypotenuse^2 = 625\\\\Take\ square\ root\ on\ both\ sides\\\\hypotenuse = 25[/tex]

Thus Sin B is given as:

[tex]sin\ B = \frac{opposite}{hypotenuse}\\\\sin\ B = \frac{7}{25}[/tex]

Thus, sin B is [tex]\frac{7}{25}[/tex]

Answer:

What am i supposed to answer?

Answer:

    [tex]c(x)=150+16.52x[/tex]

Explanation:

The total cost is comprised of three costs, namely the flat fee for the room rental ($150), the charge person for the Italian buffet ($14 per person), and the tip (18% added to the cost of the food). With this you can build your equation:

[tex]Total\text{ }cost=$150+$14x+18\%\times (14x)[/tex]

Where x respresents the number of people attending the party.

Convert 18% to its decimal form, which is 0.18 and simplify the equation:

      [tex]Total\text{ }cost=$150+$14x+0.18\times (14x)=150+14x+2.52x\\ \\ Total\text{ }cost=150+16.52x[/tex]

Hence, calling the function c(x), it is:

           [tex]c(x)=150+16.52x[/tex], with x being the number of people attending the party, and c(x) the cost in dollars.

The function which representing the total cost of party is [tex]150+16.52x[/tex]

Let us consider that number of people who attending part be x.

The room rental amount is $150.

The charge of the Italian buffet for per person = $14

For x number of people [tex]=14x[/tex]

Since, 18% tip  added to the cost of the food.

  Tip cost [tex]=14x*\frac{18}{100} =2.52x[/tex]

Total cost of the party [tex]=150+14x+2.52x=150+16.52x[/tex]

Learn more about the function here:

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Caedin runs fastest (he has the highest speed)

Step-by-step explanation:

The question in this problem is "who runs fastest": this means that the problem is asking us "which runner has the greatest speed?"

The speed of a body is a scalar quantity defined as

[tex]v=\frac{d}{t}[/tex]

where

d is the distance covered by the body

t is the time elapsed

In order to calculate the distance covered by each runner, we have to sum the length of all the pieces of motion, regardless of their direction.

From the graph, we observe that:

- Andy moves from x = 0 to x = 1.25 miles, so the distance covered is d = 1.25 miles. Since the time taken is 10 minutes, his speed is

[tex]v=\frac{1.25}{10}=0.125 mi/min[/tex]

- Berta moves from x = 0.5 miles to x = 1.15 miles, so the distance covered is

d = 1.15 - 0.5 = 0.65 miles

The time taken is 10 minutes, so her speed is

[tex]v=\frac{0.65}{10}=0.065 mi/min[/tex]

- Finally, Caeding moves first from x = 1.5 miles to x = 0, so he covers a distance of

[tex]d_1 = 1.5 mi[/tex]

Then he also moves from x = 0 to x = 1.0 miles, so he covers an additional distance of

[tex]d_2=1.0 mi[/tex]

So the total distance is

[tex]d=d_1+d_2=1.5+1.0=2.5 mi[/tex]

And since the time taken is 10 minutes, the speed is

[tex]v=\frac{2.5}{10}=0.25 mi/min[/tex]

Therefore, Caedin has the highest speed.

Learn more about speed:

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Answer:

The value of r is 1/3

Step-by-step explanation:

Let's solve for r in the equation:

16 ^(3-3r) = 256

16 ^(3-3r) = 16²

3 - 3r = 2

-3r = 2 - 3

-3r = -1

r = -1/-3

r = 1/3

Let's prove r = 1/3 is correct:

16 ^(3-3r) = 256

16 ^ (3 - (3 * 1/3)) = 256

16 ^ (3 - 1) = 256

16 ² = 256

16 * 16 = 356

We proved that r = 1/3 is correct

Answer:

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

i) Let the number of small marbles be x

ii) let the number of medium marbles be y

iii) let the number of large marbles be z

iv) Amy has 5 times as many small marbles as medium marbles therefore we can write  5y = x

v) the number of large marbles is two more than than three times the number of medium marbles therefore we can write

   z = 3y + 2

vi) Amy has a total of 560 marbles therefore we can write x + y + z = 560

vii) Therefore from i) we can write x  = 5y

viii) using vii) and v) in vi) we can write

    x + y + z  = 5y + y + 3y + 2 = 560

ix) Therefore 9y = 558   .... therefore y = [tex]\frac{558}{9}[/tex] = 62

x) Therefore from i) we get x  = y [tex]\times[/tex] 5 = 62 [tex]\times[/tex] 5 = 310

xi) Therefore z  = (3 [tex]\times[/tex] 62) + 2 =  188

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.