What is the x-intercept of the equation. Write you answer as an ordered pair. 3x−4y=15

Answer:

see below

Step-by-step explanation:

1) Length of side OQ can be solved by using Pythagorean

OQ² = 3² + 4²

        = √25

        = 5

2)  Length of side PQ can be solved by using Pythagorean

13² = 5² + PQ²

PQ² = 13² - 5²

       = √144

       = 12

3) Length of side RS and SQ can be solved by using Pythagorean

RS² = 13² - 6²

       = √133

       = 11.5

SQ² = 8² - 6²      

       = √28

       = 5.3

9514 1404 393

Answer:

Step-by-step explanation:

A tangent meets the radius at right angles at the point of tangency. The triangles here are all right triangles, so the Pythagorean theorem can be used to find the missing side lengths.

__

1. a² = 3² +4² = 25

  a = √25 = 5 = OQ

__

2. 5² +a² = 13²

  a² = 13² -5² = 144

  a = √144 = 12 = PQ

__

3. a = √(13² -6²) = √133 ≈ 11.5 = RS

  b = √(8² -6²) = √28 ≈ 5.3 = SQ

Answer:

60% of 99 is 59.4

50% of 199 is 99.5

31% of 53 is 16.43

84% of 57 is 47.88

25% of $62 is 15.5

90% of $3.20 is 2.88

I hope this helps you

Step-by-step explanation:

Answer:

Step-by-step explanation:

the 3rd one

Answer:

6

Step-by-step explanation:

0.15 x 40 = 6

Hope this helps!

9514 1404 393

Answer:

  3x -4y = -9

Step-by-step explanation:

Multiply by 4 to clear the fraction.

  4(y -6) = 3(x -5)

Subtract the left-side term to get variables on the same side, with a positive x-coefficient.

  0 = 3(x -5) -4(y -6)

Eliminate parentheses and collect terms.

  0 = 3x -15 -4y +24

  0 = 3x -4y +9

Subtract 9 and swap sides to get standard form.

  3x -4y = -9

_____

Standard form is ...

  ax +by = c

where a ≥ 0, and a, b, c are mutually prime integers. If a=0, then b > 0.

__

The attached graph shows the equations give the same line. The original line is shown dotted so that you can see they overlap.

Answer:

B

Step-by-step explanation:

5/10 = 1/2

hope i helped

Answer:

[tex]V = 113.04m^3[/tex] --- Standard Model

[tex]Diameter = 15m[/tex] --- Larger Tank

Step-by-step explanation:

Given

Standard Model

[tex]Diameter = 6m[/tex]

Larger Tank

Diameter = 2.5 * Standard Model

Solving (a): Volume of Standard Model.

The tank is spherical; so, the volume (V) is as follows

[tex]V = \frac{4}{3}\pi r^3[/tex]

Where

[tex]r = \frac{1}{2}Diameter[/tex]

[tex]r = \frac{1}{2} * 6m[/tex]

[tex]r = 3m[/tex]

So:

[tex]V = \frac{4}{3}\pi r^3[/tex]

[tex]V = \frac{4}{3} * \pi * 3^3[/tex]

[tex]V = \frac{4}{3} * \pi * 27[/tex]

[tex]V = 4 * \pi * 9[/tex]

[tex]V = 4 * 9* \pi[/tex]

[tex]V = 36* \pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]V = 36 * 3.14[/tex]

[tex]V = 113.04m^3[/tex]

Solving (b): Diameter of the larger tank

Diameter = 2.5 * Standard Model

[tex]Diameter = 2.5 * 6m[/tex]

[tex]Diameter = 15m[/tex]

Answer:

diameter =8.1

Step-by-step explanation:

The answer is from khan

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75x+3=6(x−3)

0.75x+3=(6)(x)+(6)(−3)(Distribute)

0.75x+3=6x+−18

0.75x+3=6x−18

Step 2: Subtract 6x from both sides.

0.75x+3−6x=6x−18−6x

−5.25x+3=−18

Step 3: Subtract 3 from both sides.

−5.25x+3−3=−18−3

−5.25x=−21

Step 4: Divide both sides by -5.25.

−5.25x/-5.25    =    -21/-5.25

Answer: x=4

The value of x from the given equation is 4.

The given equation is 0.75x + 3 = 6 (x - 3).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solve for x as follows:

0.75x + 3 = 6x - 18

⇒ 6x-0.75x = 3+18

⇒ 5.25x=21

⇒ x=21/5.25

⇒ x=4

Therefore, the value of x from the given equation is 4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Answer:

Step-by-step explanation:

Volume for a  cone =  1/3 * pi * [tex]r^{2}[/tex] * h

Volume for a pyramid =  1/3 * area of base * h

Already solved, okay then. T4TP.

The no. of adults and children in Patel's family is 3 and 4 respectively.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A county fair has different ticket prices for adults and children.

The expression 6a + 5c represents the total cost in dollars of tickets for 'a' adults and 'c' children.

The Patel family spends $38 on tickets, which is,

6a + 5c  = 38.

Now no. of adults and children which is a ≥ 0 and c ≥ 0 whole numbers.

So, 6×3 = 18 is, and 5×4 = 10 sums to 38 and satisfies our equation.

So, In Patel's family, there are 3 adults and 4 children.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

Number of cars washed at the 6th hour = 12 cars

Sum of all cars washed in 6 hours = 42 cars

Step-by-step explanation:

First term, a = 2 cars

Common difference, d = 2 cars

6th term = a + 5d

= 2 + 5(2)

= 2 + 10

= 12 cars

Sum of the 6th term = n/2{2a + (n-1) d}

= 6/2{2*2 + (6-1)2}

= 3{4 + (5)2}

= 3{4 + 10}

=3(14)

= 42 cars

Answer:

The answer is 18 miles.

Step-by-step explanation:

The answer is 18 because 12 divided by 30 is 0.4 and 0.4 multiplied by 45 is 18.

Answer:

3a-6c

Solution:

What does the Distributive Property state?

It states that

a(b+c)=ab+ac

How To Solve:

* Distribute 3:

3(a-2c)

First, multiply 3 by a, and then, by -2c:

3a-6c (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

-MistySparkles *

Answer:

5^2=25

6^=36

7^2=49

Answer:

21,050+420

Step-by-step explanation:

Answer:

[tex]y = 30 + 0.02x[/tex]

Step-by-step explanation:

Required

Write an equation to present her daily earnings?

Let daily sales be represented by x and daily earnings be represented by y.

y is calculated as thus;

[tex]y = Earnings + Commission * Sales[/tex]

[tex]y = 30 + 2\% * x[/tex]

Convert percentage to decimal

[tex]y = 30 + 0.02 * x[/tex]

[tex]y = 30 + 0.02x[/tex]

Hence, her daily earnings is [tex]y = 30 + 0.02x[/tex]

Answer: k = -10

Step-by-step explanation:

-4 = k + 6

-4 - 6 = k

-10 = k

Answer:

k = -10

Step-by-step explanation:

To solve for k, isolate it. -(-6) is the same as + 6. So the equation can now be written as -4 = k + 6. Subtract 6 from both side to get -10 = k.

Hope this helps! :)

Answer:

n = 2.5 or n = (5/2)

Step-by-step explanation:

(2n+4) +6 = -9 + 4(2n+1)

first distribute the 4 to the (2n+1)

(2n+4) +6 = -9 + (8n+4)

then add 9 to both sides to cancel out the -9 on the right side

(2n+4) +15 = (8n+4)

next subtract (2n+4) from both sides to cancel out the (2n+4) on the left side combining like terms as you subtract

15 = 6n

then divide 15 by 6 to get your final answer

n = 2.5

or

n = (5/2)

Answer:

2/37

Step-by-step explanation:

rate is 4/74 miles per minute, now both numerator and denominator can be divided by 2, so

4/74 = 2/37, which cannot be simplified further

9514 1404 393

Answer:

  It is multiplied by 1/2.

Step-by-step explanation:

For quantities that are directly proportional, if one is halved, so is the other.

  y is multiplied by 1/2.

Answer:

C.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Domain

We see from the graph that our x-values span from -3 to 2. Since both are closed dots, they are inclusive:

[-3, 2] or -3 ≤ x ≤ 2

Range

We see from the graph that our y-values span from -2 to 4. Since both are closed dots, they are inclusive:

[-2, 4] or -2 ≤ y ≤ 4

Answer:

Step-by-step explanation:

The pentagon has been split into 5 congruent triangles.

Each triangle has area of:

The area of the room is:

Answer:

2/3, 66 2/3%, 0.666

Step-by-step explanation:

eqivalent

Answer:

The answer is  2/3, 66 2/3%, 0.6

Step-by-step explanation:

Because Im taking the DCA right now and i got that answer correct :3

Answer:

40

Step-by-step explanation:

90 + 4x - 8 + 4x + 2 = 180

= 8x = 96

= x = 12

m < a = 4(12)-8 = 40

Answer:

1a) 54.36

1b) 3.02 per batch

Step-by-step explanation:

1a) 12 x 4.53= 54.36

1b) 54.36/18=3.02

Total amount of pounds divided by the amount of cinnamon roll batches

Answer:

Answer

Step-by-step explanation:

Question 1a: 12 x 4.53 = 54.36

Question 1b: 54.36 ÷ 18 = 3.02

I think these are the answers please let me know if they are wrong :3

Have a good day!

They gave a graph. All you got to do is find where x = 2 which is 0. I think. Did they give you a function? Or is there just a graph?

Answer:

3042in³

Step-by-step explanation:

Volume of the square prism = Base  area * Height

Since the base is a square;

Base area = s²

s is the side length of the square

Given s= 13 inches,

Base area = 13²

Base area = 169in²

If he wants the height 6 inches longer than the width and the length, then the height will be:

Height = 13 + 6 = 18 inches

Get the volume

Volume of the square prism = 169in² * 18in

Volume of the square prism = 3042in³

Answer:

stuck on that too

Step-by-step explanation:

I use mathswatch aswell