(Terms and Equations in Factual Problems) The Smith family consists of four people. Anna is three years older than Matthias. Miss Smith is four times as old as Anna. Mr Smith is five years older than his wife. Together they are 72 years. How old are the family members?

Answer: $7.27

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Because 1 is either on top or on the bottom and 6 would be on the opposite side of 1 meanwhile the other numbers are on the sides

Answer:

14

Step-by-step explanation:

the x formate times xn

Answer:The answer is 14 units i got this right on  my school and the person up there is right as well

Step-by-step explanation: have a great day.=D

60% is greater than 5/8

Answer:

y = 5 and 1/4 + 1/5x, I think

Step-by-step explanation:

hope this helps

Answer:

The answer is 3.

Step-by-step explanation:

If you divide a negative by a negative, then it equals a positive, because the two negatives cancel out.

So, -15/-5 = 3.

But, if it were -15/5 = ?

Then it would be -3, because there is only one negative, therefore it cannot cancel out.

Hope this helps! :)

Answer:

-1/10

Step-by-step explanation:

Answer:

-1/10

Step-by-step explanation:

First you need a common demonator of 10

so

-1/2 --> -5/10

and  -2/5 --> -4/10

using this the equation is:

-5/10 - (-4/10) which equals

-5/10 + 4/10= -1/10

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

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Answer:

The value of m is 5/3 .

Step-by-step explanation:

=> 9m -4 = 6 + 3m.

=> 9m - 3m = 6 + 4.

=> 6m = 10.

=> m = 10/6.

=> m = 5/3 .

Answer:

True

Step-by-step explanation:

Value of the function increases as x increaes

Answer:

[tex]m^{317}[/tex]

Step-by-step explanation:

In indices, the division postulate is true:

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

Apply this to the question:

[tex]\frac{m^{238}}{m^{-79}} \\= m^{238-(-79)}\\= m ^{238+79}\\= m^{317}[/tex]

Hence the expression expressed in the form [tex]m^v \ is \ m^{317}[/tex]

Answer:

With a really small ruler.

Step-by-step explanation:

What do you mean?

Answer:

The average cost of a movie ticket in Japan is $17.86 and the average cost of a movie ticket in Switzerland is $13.75

Step-by-step explanation:

The question seems to be incomplete. Here is a similar question and the solution:

Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost  ​$81.08 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost  $76.97. How much does an average movie ticket cost in each of these countries?

Step-by-step explanation:

Let the cost of tickets in Japan be $x and the cost of tickets in Switzerland be $y.

From the question,

It would cost  ​$81.08 to buy three tickets in Japan plus two tickets in Switzerland. That is

3x + 2y = 81.08 ...... (1)

Also from the question,

Three tickets in Switzerland plus two tickets in Japan would cost  $76.97. That is

2x + 3y = 76.97 ...... (2)

Multiply equation (1) by 2, so that we get

6x + 4y = 162.16 ...... (3)

and multiply equation (2) by 3, so that we get

6x + 9y = 230.91 ...... (4)

Now, Subtract equation (3) from equation (4), we get

5y = 68.75

y = 68.75/5

y = 13.75

Put the value of y into equation (1) to determine x

3x + 2y = 81.08

3x + 2(13.75) = 81.08

3x + 27.5 = 81.08

3x = 81.08 - 27.5

3x = 53.58

x = 53.58/3

x = 17.86

∴ x = 17.86 and y =13.75

Hence, the average cost of a movie ticket in Japan is $17.86 and the average cost of a movie ticket in Switzerland is $13.75.

Answer:

y=-x+3

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})\\ y-(-2)=-(x-5)\\y+2=-(x-5)\\y+2=-x+5\\y+2-2=-x+5-2\\y=-x+3[/tex]

Answer:

C

Step-by-step explanation:

[tex]\frac{d}{dx} (8x^-1)\\-8x^{-2}\\[/tex]

using x = -3

[tex]-8(-3)^{-2}\\\frac{-8}{9}[/tex]

The instantaneous slope of the function y = 8/x at x = -3 is -8/9.

Option C is the correct answer.

We have,

To find the instantaneous slope of the function y = 8/x at x = -3, we can differentiate the function with respect to x.

Differentiating y = 8/x using the power rule, we get:

dy/dx = -8/x²

Now, we can evaluate the instantaneous slope at x = -3 by substituting the value into the derivative:

dy/dx = -8/(-3)²

= -8/9

Therefore,

The instantaneous slope of the function y = 8/x at x = -3 is -8/9.

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Answer:

34.2508% decrease

Step-by-step explanation:

Percent decrease = 100 x (starting value-new value/starting value)

100 x ((3.27 - 2.15)/3.27)

Answer:

$1.12

Step-by-step explanation:

$3.27-$2.15=$1.12

$1.12 + $2.15= $3.27

Answer:

912384

Step-by-step explanation:

Answer:

14.4 miles is equal to 912384 inches

Answer:

5/12

Step-by-step explanation:

i just looked it up...

====================================================

Explanation:

Multiply top and bottom of 5/8 by 3 to get 15/24

This means 5/8-5/24 is the same as 15/24-5/24

The denominators are the same, so we can subtract the numerators to have them placed over the common denominator

15/24 - 5/24 = (15-5)/24 = 10/24

Then we reduce by dividing each part of the fraction by the GCF 2

10/2 = 5

24/2 = 12

Meaning that 10/24 = 5/12

Note how multiplying top and bottom of 5/12 by 2 leads to 10/24 again.

So overall,

5/8 - 5/24 = 5/12

Answer:

1st one

Step-by-step explanation:

The inequality that is not correct for x = 2.7 will be x + < 9. The correct option is A.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that the value of x is 2.7. Check all the options for x = 2.7.

Option A:-

x + 14 < 9

x < 9 - 14

x < -5  False

Option B:-

x - 4 < 0

x < 4  True

Option C:-

3x + 6 ≥ 10

3x ≥ 4

x ≥ 4/3 True

Option D:-

6 - x ≥ 1

x ≤ 5 True

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Answer:

I think 21

Step-by-step explanation:

Answer:

X is 160. because you can add all the value of x. But first substrate 540 with 100 which is 440. then 1/2x + 1/2x+ (x-15) + (x-25) which is further simplified as x + 2x - 40. then it's further simplified as 3x - 40 = 440. then add 40 with 440 which is 480 then divide it by 3 which is 160. therefore X= 160.

Answer:

Its true

It's a greater than sign.

Step-by-step explanation:

Answer:

98.1°F ≤ x ≤ 99.1°F

Step-by-step explanation:

Given the function:

f(x) = |98.6 - x|

Variance = 0.5

98.6°F - x = ± 0.5

Lower bound :

98.6 - 0.5 ≤ x

98.1 ≤ x

Upper bound :

x ≤ 98.6 + 0.5

x ≤ 99.1

Hence,

98.1°F ≤ x ≤ 99.1°F

Answer:

Well ummmmm 1

Step-by-step explanation:

Answer:

All of the above because we know that the earths crust is above the mantle AND that there are several plates, and I read in an article that the earth is made of basalt and granite

I also got this right on a test in odsseyware:-)

Step-by-step explanation:

Answer: 39

Step-by-step explanation:

The median is the number that is in the middle of a greatest-to-least number sequence. Your numbers are already in g-to-l order so its 39

Hope this helps :)

The median of the data is: 39

"It is the middle number in a sorted list of numbers."

Given data: 28, 32, 36, 37, 39, 41, 41, 43, 45

Given data is already in sorted list form.

The middle number of sorted data  is, 39

Therefore, median = 39

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Answer:

D=5 2/5 cups of sugar for 4 cups of flour

Step-by-step explanation:

I cross multiplied and man was that a lot of fractions