5. Given: SR and ST are straight lines.
SX = SY
XR =YT
Prove: RSY = TSX

:) help me

Answer:

B = 12800 grams or 12kg 800 grams.

Step-by-step explanation:

Let the two puppies be A and B respectively.

Translating the word problem into an algebraic expression, we have;

A + B = 22kg 300g

A = 9kg 500g

Conversion;

1 Kilograms = 1000 grams.

9kg 500g = 9*1000 + 500 = 9500 grams

22kg 300g = 22*1000 + 300 = 22300 g

Substituting into the above formula, we have;

9500 + B = 22300

B = 22300 - 9500

B = 12800 grams or 12kg 800 grams

Answer:i dont know

Step-by-step explanation:

Help me

The real amount of gold in the padlock is 3 / 5 pounds.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a golden padlock weighs 4/5 of a pound, but only 3/4 of the padlock is real gold.

The amount of the golden padlock is calculated as,

Amount = 4 / 5 x 3 / 4

Amount = 3 / 5 pounds

To know more about an expression follow

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Answer:

5 rides

Step-by-step explanation: Multiply the number of kiddie rides his sister will go on (5) by the amount of tickets it costs each (3). subract that from 40 (the initial amount of tickets). then divide that by 5 (amount of tickets for  1 thrill ride)

Answer:

Slope -6,5

Step-by-step explanation:

Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.

Answer:

490.87 inches²

Step-by-step explanation:

Hi there!

What we're trying to find: the area of the circular-shaped pizza

What we know: the diameter of the pizza (25 inches)

Area of a circle = [tex]\pi r^2[/tex] where r is the radius of a circle

To find the radius, divide the diameter by 2:

25 inches ÷ 2 = 12.5 inches

Plug 12.5 inches into the area equation

[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=\pi (12.5)^2\\A=156.25\pi \\A=156.25\pi \\A=490.87[/tex]

The area of the circle (pizza) is approximately 490.87 inches².

Therefore, Daniel ate 490.87 inches² worth of pizza.

I hope this helps!

Answer:

Please show the picture or question.

Answer:

The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.

Step-by-step explanation:

Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:

3 + 7 = 100

3 = X

10 = 100

3 = X

3 x 100/10 = X

300/10 = X

30 = X

3 x 3/10 = X

0.9 = X

Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.

Step-by-step explanation:

We need to solve each equation.

a. 6c = 30

c = 30/6 = 5

b.

2d-6=12

Adding 6 both sides

2d-6+6=12+6

2d = 18

d = 9

c.

[tex]\dfrac{x}{3}+9=2\\\\\dfrac{x}{3}=-7\\\\x=-21[/tex]

d.

50=14+3m

50-14=3m

36=3m

m = 12

Hence, this is the required solution.

Answer:

20 cubic meters

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

Dividing the figure into 2 rectangular prisms

Volume of First rectangular prisms = 4m * 2m * 1m

Volume of First rectangular prism = 8m^3

Volume of second rectangular prism = 4m * 3m * 1m

Volume of second rectangular prism = 12m^3

Taking the sum

Volume of the figure = 8m^3 + 12m^3

Volume of the figure = 20 cubic meters

Answer:

60

Step-by-step explanation:

I hope you understand what I wrote

Answer:

Option B:

[tex]H_0: \mu = 22.1[/tex]

[tex]H_a: \mu \neq 22.1[/tex]

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

[tex]H_0: \mu = 22.1[/tex]

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

[tex]H_a: \mu \neq 22.1[/tex]

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

Answer:

356%

Step-by-step explanation:

Incease in weight

2,918 - 640 = 2,278

% increase

p = increase / original  * 100%

p = 2,278 / 640 * 100

p = 355.9375%

Rounded

356%

Answer:

2x - 4 = x - 10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x^6

Step-by-step explanation:

The missing value in the equation is 2.When we substitute 2 for the missing number, the LHS value equals the RHS value.So, response 2 is the right one.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

y=5(?)^x

The given data from the table;

X 0 1 2 3 4 5 6

Y 5 10 20 40 80 160 320

If we put the value 2 on the missing place it will satisfy the relation;

y=5(?)ˣ

5=5(2)⁰

5=2×1

5=5

10=5(2)¹

10=5×2

10=10

20=5(2)²

20=5×4

20=20

The value of LHS is equal to the RHS when we put 2 on the place of missing value.

Hence 2 is the correct answer.

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Answer:

15) letter A

16) letter C

Step-by-step explanation:

Used a graphing calculator,

hope this helps.

Answer:

f(g(x) = -3v

Step-by-step explanation:

Answer:

7 1/8

Step-by-step explanation:

Hope this helps

Answer: 7.1875

Step-by-step explanation:

First you would multiply the two numbers which are 1 1/4 and 5 3/4 then you would simplify that because you would get 115/16 then when you simplify you get 7.1875

Answer:

x = 7

Step-by-step explanation:

Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation

x = c

where c is the value of the x- coordinates the line passes through, then

x = 7 ← equation of line

Answer:

I hope this is right, im not sure because they are coincides or the same lines when overlapped, but I tried.

3x+0

Step-by-step explanation:

Using the formula mx+b we can get our answer.

We know that the two points pass through (7, 0)

mx+b is (slope)x+(y-intercept)

The slope of the two lines is 3 so we can replace m for 3:

3x+b

the y-intercept does not exist for these two lines as they are coincides, so we can just put it at 0, so we now have our equation 3x+0.

Answer:

x=50

Step-by-step explanation:

Answer:

551

Step-by-step explanation:

Answer:

551.18 inches

Step-by-step explanation:

convert 14 m to cm, so multiply 14 by 100, to get 1400, then convert to inches, so divide by 2.54, which gives you 551.18 inches

Step-by-step explanation:

1.

The given equation is :

6x+2y=14

We need to write it in the function form.

Taking 2 common from both sides,

2(3x+y)=2(7)

So,

(3x+y)=7

Subtract 3x from both sides,

y+3x-3x=7-3x

y = 7-3x

So, the correct option is (c).

2. f(x) = 3x-4

We need to find f(2). Put x = 2 in the above function.

f(2) = 3(2)-4

= 6-4

= 2

The correct option is (D).

Answer: -5,1

Step-by-step explanation: Hope this help :D

Answer:

(D) a hexagon......................

Answer:

D. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 1/4(2)ˣ

f(5) is x = 5 for function f(x)

Step 2: Evaluate