Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon's age and j + 3 represents Laura's age, what value of j
could be Jon's age?

Answer:

56622

Step-by-step explanation:

Simplify into numbers.

40000 + 16000 + 400 + 210 + 12

Add.

56622

The value of 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones is 416622

Given,

4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones

We need to find the number that equals the given above.

Example:

456789

4 - hundred thousands

5 - ten thousands

6 - thousands

7 - hundreds

8 - tens

9 - ones

Find the number for 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones.

4 hundred thousands = 400,000

16 thousands = 16,000

4 hundreds = 400

21 tens = 210

12 ones = 12

We get,

= 400,000 + 16,000 + 400 + 210 + 12

= 416622

Thus the value of 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones is 416622

Learn more about place value in a given number here:

https://brainly.com/question/27734142

#SPJ2

Answer:

The difference is 8.56 cm. ( the metre is longer than the yard).

Step-by-step explanation:

1 yard = 36 inches

= 36 * 2.54

= 91.44 cm

1 metre = 100 cm.

Answer:

I believe that it is a line, since a line is infinite

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

slope: (y² - y¹) / (x² - x¹)

(3, 0) & (3, 1)

(1 - 0) / (3 - 3) = 1 / 0

undefined = vertical line

Answer: Total cost: $820.26      Paid in tax: $62.51

Step-by-step explanation:

First you have to get the Tax. Since the Tax is 8.25% MOVE the decimal 2 spots to the right so now it is 0.0825.

Multiply 0.0825 by 757.75 you will get 62.514375.

Dont get scared of the big number simply simplify and you get the tax.

if you want the total he paid add tax and original cost.

Answer:

So the number of flowers per vase

= 8 flowers per vase

Remainder= one flower

Step-by-step explanation:

Darren picked 25 flowers that he plans to divide evenly into 3 vases.

Number of Flowers touse per vase

= 25/3

Number of flowers to use per case

= 8.33

Number of flowers to use per case

= 8 1/3

We can see that it's 8 flowers per vase the a remainder of one flower Left.

So the number of flowers per vase

= 8 flowers per vase

Remainder= one flower

Answer: 8

Remainder: 1

Answer:

m = 123°

k = 57°

h = 123°

p = 99°

q = 81°

f = 99°

g = 81°

s = 42°

r = 57°

u = 57°

v = 123°

Step-by-step explanation:

Using basic angle relationships, we should be able to tell these angles easily.

If the 57° is supplementary to m, then m will be [tex]180 - 57 = 123[/tex] degrees.

k is also supplementary to m, so k is [tex]180-123=57[/tex] degrees - we also know this because it is an alternate interior angle to the other 57°.

h is an alternate interior angle to m, so h is the measure of m : 123°.

q is the same measure as the 81° angle, since they are corresponding angles. q is also 81°.

p is supplementary to q, so p is [tex]180-81=99[/tex] degrees.

f is an alternate interior angle to p, so f is also 99°.

g is also an alternate interior angle to q, so g is 81°.

The measure of s will be [tex]180-k-g[/tex] since all 3 sides of a triangle add up to 180°: so [tex]180-57-81=42[/tex] degrees.

r will be supplementary to the 81° angle and s, 42, so r is [tex]180 - 81 - 42=57[/tex] degrees.

u is an alternate interior angle to r, so u is also 57 degrees.

v is supplementary to u, so v will be [tex]180-57=123[/tex] degrees.

Hope this helped!

Answer:

All of the functions required to transform inputs into outputs (goods and ... provide all of the materials and supplies required to create finished products and deliver ... System for determining the right quantity of various items to have on hand

Step-by-step explanation:

Answer:

No, a regular pentagon does not tessellate.

In a tessellation, all the angles at a point have to add to 360 degrees, as this means there is no overlap, nor are there gaps. To find the interior angle sum of a pentagon, we use the following formula:

(n-2)*180 (where n is the number of sides)

We plug in the number of sides (5) and get:

Angle sum = (5–2)*180

Angle sum = 3*180

Angle sum = 540

Regular pentagons have equal sides and equal angles, so to find the size of the interior angle of a pentagon, we divide the angle sum by 5 and get 108 degrees for every angle.

As I said before, the angles at a point need to add up to 360, so we need to know if 108 divides evenly into 360. If it does, the shape tessellates, and, if it doesn’t, the shape does not.

360/108 = 3.33333…

This means that a regular pentagon does not tessellate.

Hope this helps!

Answer:

14.25 hours

Step-by-step explanation:

Four tires = 3/4 of an hour

=> 1 car = 3/4 of an hour

=> 19 cars = ?

=> If 1 = 3/4

=> 19 = 3/4 x 19

=> 3/4 x 19

=> 57/4

=> 14.25 hours

So, it would take 14.25 hours for 19 car's tires to be changed.

Answer:

The pooled variance for the two samples is 90

Step-by-step explanation:

Here in this question, we are interested in computing the pooled variance for the two given samples.

From the question;

n1 = 9

ss1 = 710

n2 = 6

ss2 = 460

The pooled variance can be calculated using a mathematical formula as shown below;

S^2 =( ss1 + ss2)/(n1 + n2 -2)

where S^2 refers to the pooled variance of both samples.

Plugging the values into the equation, we have ;

S^2 = (710 + 460)/9 + 6 -2 = 1170/13 = 90

Answer:

Step-by-step explanation:

Let x represent the amount of money Bob starts with. Then Bessy starts with 6x. After they have each earned $6, the relationship of their amounts is ...

  (6x +6) = 3(x +6)

  6x +6 = 3x +18

  3x = 12

  x = 4

Bob starts with $4; Bessy with $24.

After earning $6, Bob has $10; Bessy has $30.

Answer:

EF + FG = EG   Plug in the given values

4x + 15 + 39 = 110   Combine like terms (15 and 39)

      4x + 54 = 110   Subtract 54 from both sides

               4x = 56   Divide both sides by 4

                 x = 14

Answer:

(x − 1)² + (y − 2)² = 25

Step-by-step explanation:

Equation of a circle is (x − h)² + (y − k)² = r², where (h, k) is the center and r is the radius.

Answer:

No solutions

Step-by-step explanation:

First, isolate the absolute value:

|x-2| + 5 = 2

|x - 2| = -3

An absolute value can never equal to a negative number

So, there are no solutions

Answer:

12.5 feet

Step-by-step explanation:

The distance in a coordinate geometry is calculated using: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]. Jerome and Eric have hiked 12.4 miles when they stopped to eat.

To do this, we make use of distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

From the figure, we have the following points:

[tex]A = (4,4)[/tex]

The other points between A and W in counterclockwise are:

[tex]B=(6,2)[/tex]

[tex]C = (8,2)[/tex]

[tex]D = (8,4)[/tex]

[tex]E = (10,6)[/tex]

[tex]W = (8,8)[/tex]

Distance AB is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]AB = \sqrt{(4 - 6)^2 + (4 -2)^2} =\sqrt{8} =2.8[/tex]

Distance BC is

[tex]BC = \sqrt{(6 - 8)^2 + (2 -2)^2} =\sqrt{4} =2[/tex]

Distance CD is

[tex]CD = \sqrt{(8 - 8)^2 + (2 -4)^2} =\sqrt{4} =2[/tex]

Distance DE is :

[tex]DE = \sqrt{(8 - 10)^2 + (4 -6)^2} =\sqrt{8} =2.8[/tex]

Distance EW is:

[tex]EW = \sqrt{(10-8)^2 + (6 -8)^2} =\sqrt{8} =2.8[/tex]

So, distance AW is:

[tex]AW = AB + BC + CD + DE + EW[/tex]

[tex]AW = 2.8 + 2+ 2 + 2.8 +2.8[/tex]

[tex]AW = 12.4[/tex]

Read more about distance in coordinate geometry at:

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Answer:

Step-by-step explanation:

1 semester = 4474

8 semester = 8* 4474                    35792

1 semester books = 389

8 semester books = 8* 389             3112

Total                                                38904  

If he is going to pay this off in 10 years, he would have to have an increase of 3890.40 (after all income taxes) to pay it off. Fewer years would mean dividing by the number of years.

So for 8 years for example, he would need 4863 every year.

That number is obtained by dividing 38904 / 8

In 6 years he would need

38904/6 = 6484 extra dollars.        

Answer:

Answer is C. $11,700

Step-by-step explanation:

Answer:

B c < 27.50

Step-by-step explanation:

The cost c of a shirt is less than $27.50

In representing equality

< Represent less than

= Represent equal to

> Represent greater than

Other representation includes

< = Less than or equal to

>= Greater than or equal to

/= Not equal to

The cost c of a shirt is less than $27.50

C< 27.50

Step-by-step explanation:

see the attachment......

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We are given that:

[tex]CB=2x+5[/tex]

And that DE = 10. We want to determine the value of x.

Note that CB is the sum of CD and DB. In other words:

[tex]CB=CD+DB[/tex]

Similarly, DE is the sum of DB and BE. Thus:

[tex]DE=DB+BE[/tex]

From the second equation, we can subtract BE from both sides:

[tex]DE-BE=DB[/tex]

Substitute this into the first equation:

[tex]CB=CD+(DE-BE)[/tex]

We are given that CB is 2x + 5 and DE is 10.

From the diagram, we can also see that CD is 3x - 1 and BE is 8.

Substitute:

[tex](2x+5)=(3x-1)+((10)-(8))[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned}(2x+5) & = (3x-1) + (2) \\ \\ 2x + 5 & = 3x + 1 \\ \\ -x + 5 & = 1 \\ \\ - x & = -4 \\ \\ x & = 4 \end{aligned}[/tex]

In conclusion, the value of x is 4.

Answer:

(a) 51

(b)  [tex]T_{n}=a+(n-1)d[/tex]

(c) 20th figure

Step-by-step explanation:

The diagram is attached below.

The first triangle is formed using 6 toothpicks.

The second triangle is formed using 11 toothpicks.

The third triangle is formed using 16 toothpicks.

So, there is an increases of 5 toothpicks every time.

We can say that the number of toothpicks used to form n triangles are following an arithmetic progression with the first term as 6 and the common difference as 5.

The nth term will be:

[tex]T_{n}=a+(n-1)d[/tex]

(a)

Compute the number of toothpicks required for the 10th figure as follows:

[tex]T_{n}=a+(n-1)d[/tex]

[tex]T_{10}=6+(10-1)\times5[/tex]

     [tex]=6+(9\times5)\\=6+45\\=51[/tex]

Thus, the number of toothpicks required for the 10th figure is 51.

(b)

Compute the number of toothpicks required for the nth figure as follows:

[tex]T_{n}=a+(n-1)d[/tex]

(c)

Compute the value of n for [tex]T_{n}=102[/tex] as follows:

                 [tex]T_{n}=102[/tex]

   [tex]a+(n-1)d=102\\\\[/tex]

[tex]6+(n-1)\times 5=102[/tex]

         [tex]5(n-1)=96[/tex]

             [tex]n-1=19.2[/tex]

                   [tex]n=20.2\\n\approx 20[/tex]

Thus, the 20th figure will require exactly 102 toothpicks.

Answer:

Rs. 4128.57

Step-by-step explanation:

Given:

Solving for x:

Answer:

21h

Step-by-step explanation:

we know that

Speed = distance / time, and as such

distance = speed * time

From the question, we are given that ...

He biked for h hrs -> b

He walked for 2 * b = 2h -> w

He ran for (1/4)(w) = 1/4 * 2h = 1/2 h -> r

The total distance traveled will then be

total distance = distance biked + distance walked + distance ran

recall that we stated that

d = s * t, now we'd apply that here

distance biked = 10 * h = 10h

distance walked = 3 * 2h = 6h

distance ran = 10 * 1/2h = 5h

total distance = 10h + 6h + 5h

Total distance = 21h

Answer:

20.

Step-by-step explanation:

2x + x - y^2; x = 8 and y = 2.

2(8) + 8 - (2)^2

= 16 + 8 - 4

= 24 - 4

= 20.

Hope this helps!

Answer:

= 20

Step-by-step explanation:

2x + (x - y²)

x = 8

y = 2

then:

  2*8 + (8 - 2²)

= 16 + (8 - 4)

= 16 + 4

= 20

Answer:

[tex]\frac{47}{37}[/tex] - [tex]\frac{14}{37}[/tex] i

Step-by-step explanation:

Given

[tex]\frac{8-i}{6+i}[/tex]

Multiply numerator/ denominator by the conjugate of the denominator.

The conjugate of 6 + i is 6 - i, thus

= [tex]\frac{(8-i)(6-i)}{(6+i)(6-i)}[/tex] ← expand numerator/ denominator using FOIL

= [tex]\frac{48-14i+i^2}{36-i^2}[/tex] → substitute i² = - 1

= [tex]\frac{48-14i-1}{36+1}[/tex]

= [tex]\frac{47-14i}{37}[/tex]

= [tex]\frac{47}{37}[/tex] - [tex]\frac{14}{37}[/tex] i

Answer:

D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1

Step-by-step explanation:

You need to subtract g(x) from f(x).

(f - g)(x) = f(x) - g(x) =

= 4x^3 + 7x^2 - 2x - 1 - (4x - 2)

Distribute the negative sign at the left of the parentheses as you would distribute a -1. Every sign inside the parentheses changes.

= 4x^3 + 7x^2 - 2x - 1 - 4x + 2

Combine like terms.

= 4x^3 + 7x^2 - 6x + 1

Answer: D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1

Answer:

4x^3+7x^2-6x+1

Step-by-step explanation:

f(x) = 4x^3 +7x^2 -2x-1

g(x) = 4x-2

f(x) - g(x) = 4x^3 +7x^2 -2x-1 - ( 4x-2)

Distribute the minus sign

                4x^3 +7x^2 -2x-1 - 4x+2

Combine like terms

                   4x^3+7x^2-6x+1

Answer:

65oz for 6.99 dollars

Step-by-step explanation

Answer:(14.80-0.8)*6=84

Step-by-step explanation:

Answer:

71.04

Step-by-step explanation:

0.8×14.80=11.84

11.84×6=71.04

Answer:

6.75

Step-by-step explanation:

9x0.75=6.75

Answer:

Correct answer is 6.75

Step-by-step explanation:

75% x 9 = 6.75

Answer:

48 died

Step-by-step explanation:

2 out of 5 survived that means 5-2 = 3

3 out of 5 died

Multiply that fraction that died by the total number

3/5 * 80

48