Olivia solved the equation a=2(5−3a) + 4.

Match the property with each of Olivia's steps for solving the equation.

Answer:

1. Given

2. Definition of midpoint

3. Given

4. Reflexive property of congruence

5. SSS

6. CPCTC

Step-by-step explanation:

Where's your question?

Answer:

x-intercept: (-2, 0)

y-intercept: (0, -5)

Step-by-step explanation:

Since the options were not included in the original post, I will be providing the solutions (coordinates of the intercepts).

Given the linear equation in standard form, 10x + 4y = -20, where we must determine the x- and y-intercepts of the graph:

The x-intercept, in the form (a, 0),  is the point on the graph where it crosses the x-axis. Thus, it is the value of x when its corresponding y-coordinate is: y = 0.

In order to find the x-intercept, set y = 0 and solve for the value of x:

10x + 4y = -20

10x + 4(0) = -20

10x + 0 = -20

10x = -20

Divide both sides by 10 to solve for x:

[tex]\displaytext\mathsf{\frac{10x}{10}\:=\:\frac{-20}{\:10}}[/tex]

x = -2

Hence, the x-intercept is (-2, 0).

The y-intercept, in the form (0, b ),  is the point on the graph where it crosses the y-axis. Thus, it is the value of y when its corresponding x-coordinate is: x = 0.

In order to find the y-intercept, set x = 0 and solve for the value of y:

10x + 4y = -20

10(0) + 4y = -20

0 + 4y = -20

Divide both sides by 4 to solve for y:

[tex]\displaytext\mathsf{\frac{4y}{4}\:=\:\frac{-20}{\:4}}[/tex]

y = -5

Hence, the y-intercept is (0, -5).

Answer:

JKN and ONK

Step-by-step explanation:

Hope this helps :)

Answer:

[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]

Answer:

74 meters

Step-by-step explanation:

Step-by-step explanation:

Sum of two interior Angles equals to exterior angle . So ,

1 = 65 + 47 = 112°

And , angle sum property of a ∆ is 180° . Hence ,

2 = 180 - 65 - 68 = 47°

Answer:

The length of the missing side is 7.5

Step-by-step explanation:

let the missing side be x

[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]

98.01 = 42.25 + x^2

x^2 = 98.01 - 42.25

x^2 = 55.76

[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]

x = 7.5 or 7.47

Answer:

Broken = 7x

Step-by-step explanation:

Left = x

x(7x) = 30

(7x² = 30)⅐

x² = 4.285

√x² = √4.285

x = 2.07

Left = 2.07 meters

Broken = 7 x 2.07 = 14.49 meters

i hope this is correct!

good luck on ur test!

Answer:

Solve for y by simplifying both sides of the equation, then isolating the variable.

y = x^2/2^z - w/2z

Step-by-step explanation:

Answer:

w=x^2-2yz

x^2-w=2yz

x^2-w=y

2z

Step-by-step explanation:

Answer:

your answer would be 10x-45

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

4x+9-x-3x=9

4x-x-3x=9-9

0x=0

x=0

Answer:

17.6°

Step-by-step explanation:

1.8x-8=-14.4

-14.4 + 32= 17.6°C

Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).

The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:

1/3(x)+1/4(x+1)=9.

Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...

1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).

Now the equation is 4/12(x)+3/12(x+1)=9

Multiply both sides by 12 so the denominators are gone:

[12•]4/12x+3/12(x+1)=9•12

4x+3(x+1)=108

Using distribution, it's now 4x+3x+3=108. Continuing on with the math...

7x+3=108

7x=105

x=15

We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?

5+4=9 and 9=9 so YES! The numbers are 15 and 16

Answer:

$2408.

Step-by-step explanation:

28 * 86

Answer:

a) $670

b) $6600

Step-by-step explanation:

a) The decrease by 9.4% means that the price of 1 kg of silver is 90.6% of the original price

0.906P = 607, P is the price of 1 kg of silver on 1st January 2015

P = 607/0.906 = 669.9779249 ≈ $670

b) The decrease of the price was $1320, which is 20%.

0.80P = P - 1320, P is the price of 1 tonne of copper on 1st January 2010

-0.20P = 1320

P = 1320/(-0.20) = $6600

Answer:

If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.

For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.

This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.

Step-by-step explanation:

Hope that makes sense :)

If you still don't get it, please let me know.

Answer: 1844 because you just simply add 462+526+856=1844.

Answer:

Red Gold

Step-by-step explanation:

Assuming you mean 9/40

Red gold = 25%

Pink Gold = .2 which is 20%

Rose gold is [tex]\frac{9}{40}[/tex] = .225 which is 22.5%

Answer:

50.21, 50.12, 50.102,50.021

the last one

Step-by-step explanation:

sorted into descending order

Answer:

It is linear

Step-by-step explanation:

I don't know if you needed it graphed or what was needed to solve your question

Answer:

a.divide the amount by the percentage.

$2700× 25%

Ans:$675

subtract the selling price from the profit.

$2700 - $675

Ans:$2025

b.divide the 15% from selling price.

$2700 × 15%

Ans: 405

deduct the selling from from the discount given.

$2700 - $405

Ans: $2,295

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

3

Step-by-step explanation:

Four circles and 12 dots, divide them equally into the circles.

Answer:

3

Step-by-step explanation:

It's kinda like multiplying 3 and 4 then get 12

Answer:

-14.75

Step-by-step explanation:

i did it on iready & got it wrong .

Answer:

-14.75

Step-by-step explanation: