A model of a statue is built to a scale of 1:5 from the same material as the real statue and weight 4 pounds. How many pounds does the real statue weigh?

Answer:

The slope of the line between points A and B is 0.25

Step-by-step explanation:

Here in this question, we simply aim at calculating the slope of the line between two given points;

The points in question are;

A(400,40) and B(480,60)

Mathematically, the slope of the line can be calculated using the formula:

slope = (y2-y1)/(x2-x1)

Where ;

x1 = 400

y1 = 40

x2 = 480

y2 = 60

Substituting the values, we have;

slope = (60-40)/(480-400) = 20/80 = 1/4 = 0.25

Answer:

Step-by-step explanation:

A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.

<A + <B + <C = 180° ...... 1

If the measure of one angle is twice the measure of a second angle then

<A = 2<B ...... 2

Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3

Substituting equations 2 and 3 into 1 will give;

(2<B) + <B + (3<B-48) = 180°

6<B- 48 = 180°

add 48 to both sides

6<B-48+48 = 180+48

6<B = 228

<B = 228/6

<B =38°

To get the other angles of the triangle;

Since <A = 2<B  from equation 2;

<A = 2(38)

<A = 76°

Also <C = 3<B-48 from equation 3;

<C = 3(38)-48

<C = 114-48

<C = 66°

Hence the measures of the angles of the triangle are 38°, 66° and 76°

2 units to the left , you need to subtract 2 from each x value. Up 6 units, you add 6 to each y value.

A’(-11,0), B’(-6,0), C’(-5,4), D’(-10,4)

Draw the new shape at these new points and label as I have them written.

Answer:

5×5=25

Step-by-step explanation:

25 divided by 5 is the answer to b which is 5 then what equals 25? answer is 5 times 5

Answer:

See below.

Step-by-step explanation:

This question cannot be answered with the information that is given since we don't know what f(x) or f^-1(x) are.

Answer:

7 and 8

Step-by-step explanation:

7 X 7= 49  8 X 8= 64  and you can't get closer unless you make it a decimal

Answer:

its b 3/11

Step-by-step explanation:

the decimal goes 0.2727272727...

Answer:

3

ehebehejhebehsueywbw

Answer:

It was number 2

Step-by-step explanation:

The one where P is located at (3,5)

Answer:

932.60 kg

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal and multiply by the number.

114% of 818.07 kg =

= 114% * 818.07 kg

= 114/100 * 818.07 kg

= 1.14 * 818.07 kg

= 932.60 kg

Answer:932.60

Step-by-step explanation:

i had the same question on hegarty lol

Answer:

x=2

Step-by-step explanation:

5×-10=0

5×=10

so you divide both sides by 5

Answer:

x=2

Step-by-step explanation:

Answer:

In order to describe the translation of the triangle ABC we need to know the rule of translation, i.e. we need to know how many units to the left or to the right the x coordinate will move and how many units up or down the y coordinate will move

Step-by-step explanation:

You need to how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

The rule of translation, which states how many units the x coordinate will move to the left or right and how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.

Learn more about the Scale images here:

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Answer:

5x^-2 is rewritten as a negative exponent

Answer:

[tex] x = 3 [/tex]

Step-by-step explanation:

Since points, A, B, C, D and E are collinear, AB = x + 7, BC = 2x, AC = 16, therefore:

[tex] AB + BC = AC [/tex]

[tex] (x + 7) + 2x = 16 [/tex]

Solve for x

[tex] x + 7 + 2x = 16 [/tex]

[tex] 3x + 7 = 16 [/tex]

Subtract both sides by 7

[tex] 3x + 7 - 7 = 16 - 7 [/tex]

[tex] 3x = 9 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{9}{3} [/tex]

[tex] x = 3 [/tex]

Answer:

-3

Step-by-step explanation:

Solve each piece then use order of operations to solve.

[tex]4^{\frac{1}{2} }[/tex] = 2

[tex]\sqrt[4]{16}[/tex] = 2   so [tex]\frac{2}{\sqrt[4]{16} }[/tex] = [tex]\frac{2}{2}[/tex] = 1

Use the order of operations to finish solving. Multiplication and division come before addition and subtraction.

2 * 1 - 10 ÷ 2

2 - 5 = -3

-3

Answer:

Inequality:

$14.5 > $9

OR

Peter's earnings > Cindy's earnings

Step-by-step explanation:

Number of hours Peter works every day = 3 hours

Number of hours Cindy works every day = 2 hours

Earnings per hour for both of them = $4.50

Total daily Earnings for Peter = Number of hours worked by Peter multiplied by hourly earnings of Peter

Total daily Earnings for Peter = 3 \times $4.50 = $13.5

Total daily Earnings for Cindy = Number of hours worked by Cindy multiplied by hourly earnings of Cindy

Total daily Earnings for Cindy = 2 \times $4.50 = $9

Comparing the daily earnings of Peter and Cindy, we can see that Earnings for Peter is greater than that of Cindy.

Inequality:

$14.5 > $9

OR

Peter's earnings > Cindy's earnings

Answer:

310.51232

Step-by-step explanation:

here's your answer

Answer:

9) 60

10) 16

11) 12

12) 3

13) 60

14) 4

Step-by-step explanation:

9) (2)(5)(6)

   (10)(6)

    60

10) 4(5-1)

     4(4)

     16

11) 3+4+2+6

    7+2+6

    9+6

     12

12) 3- (1-[tex]\frac{6}{6}[/tex])

     3- (0)

     3

13) 5(6+1+6-1)

     5(7+6-1)

     5(13-1)

      5(12)

      60

14) 2-3(1-1)+4

     2-3(0)+4

     -1(0)+4

     0+4

     4

Answer:

900 phone numbers possible.

Step-by-step explanation:

Given the seven digit numbers are of the form:

FGH-XXXX

Possibilities for F = 3 - 9 and X i.e. 9 possibilities

Possibilities for G = 0 - 9 i.e. 10 digits

Possibilities for H = 0 - 9 i.e. 10 digits

To find:

How many numbers are possible ?

Solution:

This problem is nothing but a problem in which we have to find out how many numbers are possible where each digit has a few options available.

Number of ways to select F = 8 digits from 3 to 9 and 1 alphabet X = 9

Number of ways to select G = 10 digits from 0 to 9

Number of ways to select H = 10 digits from 0 to 9

XXXX part will be same in all the numbers.

So, total phone numbers possible = [tex]9 \times 10 \times 10 = \bold{900}[/tex]

Hence, the answer is:

900 phone numbers possible.

Answer it takes away 2 than adds 3 and takes away 2 than instead of adding 3 on the fourth number it adds 6 so maybe it doubles the number it adds every time or it adds three onto the last number it added with and continues like that.

Step-by-step explanation:

Answer:

D. they are noncollinear

Step-by-step explanation:

this is because they aren't in one straight line going x, y, z, w. because they intersect and make cross shape.

Answer:

3

Step-by-step explanation:

8260439 / 11 = 750949

Answer:

13x-4y

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(3x - 7y) + (10x + 3y)

Add like terms.

3x + 10x - 7y + 3y

13x - 4y

Thus,

The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.

Learn more about expressions here:

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Answer: I believe it would be called a rate.

Answer:

20

Step-by-step explanation:

→ First find the value of x and y

x + y = 5

x - y = 4

→ Add the equations to cancel out the y's

2x = 9

→ Divide both sides by 2 to find the value of x

x = 4.5

→ Substitute x = 4.5 back into x - y = 4 to find the value of y

4.5 - y = 4

→ Minus 4.5 from both sides to isolate -y

-y = -0.5

→ Multiply everything by -1

y = 0.5

→ Substitute x = 4.5 and y = 0.5 into x² - y²

4.5² - 0.5² = 20.25 - 0.25 = 20

Answer:

F-1(x)=x+8

Step-by-step explanation:

What is the inverse of y=r? + 8?

I hope this help.

Answer:

Step-by-step explanation:

0.5%a  =  3

    ×10    ×10

 5%a    =  30

   ×20     ×20

100%a  = 600

   a = 600

Answer:

b. x-5.

Step-by-step explanation:

If x + 5 is a factor then f(-5) will be = 0.

f(-5) = 0 so it is a factor.

f(5) = 720 so (x - 5) is not a factor.

Answer:

B) x - 5

Step-by-step explanation:

The remainder theorem states the given a polynomial f(x), if f(x) is divided by x - a, the remainder will be f(a). Therefore, one needs to verify if f(a) = 0 in order to confirm it to be a factor of f(x).

a) x + 5:

f(a) = f(-5) = (-5)³ + 12(-5)² + 47(-5) + 60 = 0

b) x - 5:

f(a) = f(5) = (5)³ + 12(5)² + 47(5) + 60 = 720

c) x + 4:

f(a) = f(-4) = (-4)³ + 12(4)² + 47(4) + 60 = 0

d) x + 3:

f(a) = f(-3) = (-3)³ + 12(-3)² + 47(-3) + 60 = 0

One can observe that only the item B has f(a) not equaling 0, and thus it cannot be a factor of f(x).

Answer:

3/8  or 37.5%

Step-by-step explanation:

Answer:

Length = 34 and Width = 30

Step-by-step explanation:

This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:

First, we find the Width by plugging the given values in the formula:

[tex]128 = 2((4 + W) + W)\\128 = 8 +2W + 2W\\120 = 2W + 2W\\120 = 4W\\W = \frac{120}{4}\\\ W = 30[/tex]

All we did here was substituting 4 + W for L to find the Width.

Now, to find the Length we plug in the value of W and solve for L:

[tex]128 = 2(L + 30)\\\frac{128}{2} = (L + 30)\\64 = L + 30\\64 - 30 = L\\L = 34[/tex]

Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)

Keep working hard and good luck. <3