Mathematics High School

Simplify 2(x - 4) + 7(x + 2).

9x - 6
9x - 4
9x + 6

Answers

Answer 1
2(x - 4) + 7(x + 2)
= 2x - 8 + 7x + 14
= 9x + 6

answer
9x + 6
Answer 2
With this question you will distribute and add. You want to do this from left to right.

2*x = 2x
2*-4 = -8

Now the equation is (2x-8)+7(x+2). This is where you distribute again.
7*x = 7x
7*2 = 14

The equation is now (2x-8)+(7x+14) which can also be rewritten to be 2x - 8 + 7x + 14. Here you combine like terms through adding.
2x + 7x = 9x
14 - 8 = 6

Remember to always keep the sign of the number when adding. This means your answer would be 9x+6 or 6+9x.

Related Questions

Which congruence theorem would complete the proof shown?

SSS
SAS
ASA

Answers

the correct answer would be ASA

Answer:

ASA

C is correct

Step-by-step explanation:

We are given table of congruence of triangle.

1.  Given: DC || AB and AD|| BC

2.  If two lines are parallel then a tranversal line makes eight angles.

∠2=∠3 and ∠1=∠4   ( Alternate interior angle )

3 .  If one side is common in two figure then reflexive property use.

CA = CA             (Reflexive )

If we take two triangles ΔDAC and ΔCAB are congruent by above property.

ΔDAC ≅ ΔCAB by two angle and one side.

The property of congruence is ASA

4. ΔDAC ≅ ΔCAB  by  ASA

Hence, The 4th reason is ASA

Suppose you pay $21 for a pair of shoes that was originally $30. What was the percent of decrease in price for the shoes? Set up an equation, arrive at your answer, and check your work. Then clearly state your answer.

*SHOW WORK*

Answers

21 / 30 = X (Percentage paid of original price.) 21 / 30= 0.7 * 100 = 70% 100% - 70% = 30% $21 was 30% off the original price of $30

Devin made some mistakes. Identify where he made each mistake:

24 ÷ 6 x (5 – 1)

= 24 ÷ 6 x 4
= 24 ÷ 24
= 1

Answers

When doing the order of operations and you are put in a situation where you do two different operations, solve the problem from left to right.
In this case instead of doing 6*4 first do 24/6 first.

Four friends compared there bike riding times. Jess rode 4.25 km in 20 min. Corey rode 3.75 km in 18 min. Mia rode 3.5 km in 17 min. Zoey rode 3.6 km in 16 min.



Who rode at the greatest rate of speed?



A.
Jess


B.
Corey


C.
Mia


D.
Zoey

Answers

Jess rode 4.25 km in 20 min.
Speed = 4.25: 20 = 0.212 km/min

Corey rode 3.75 km in 18 min.
S= 3.75 : 18= 0.208

Mia rode 3.5 km in 17 min.
S = 3.5 :17 = 0.205

Zoey rode 3.6 km in 16 min.
S= 3.6 :16 = 0.225


The greatest rate of speed : ZOE with 0.225 km/min

What is the value of x using the pythagorean theorem ?

Answers

side a is 49
side c is 121
121-49 is 72
72 squared is your x
check the picture below.

N equation of a line through (0, 2) which is perpendicular to the line y=3x+3y=3x+3 has slope

Answers

Something's not quite right here.  What do you mean by "N?"

I could and will make assumptions regarding what you meant.  (Feel free to correct me if need be.)

Find the equation of a line through (0,2) which is perpendicular to the line y=3x+3.  To find the slope of this perpendicular line, take the negative reciprocal of 3 (the slope of the given line).  It is -1/3.

Using the point-slope form of the equation of a straight line:

y = (-1/3)x + 2 (answer)

Need help

Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra buys.

Which inequality represents this situation?


A. 2.25x+2.65y>8

B. 2.25x+2.65y<8

C. 2.25x+2.65y≤8

D.2.25x+2.65y≥8

Answers

The answer is D.
I hope this helps.

Answer:  The correct option is

(D) [tex]2.25x+2.65y\geq8.[/tex]

Step-by-step explanation:  Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.

We are to select the inequality that represents the situation.

We have

total amount of money that Kendra spends on lettuce is given by

[tex]a_l=2.5\times x=2.5x[/tex]

and the total amount of money that she spends on tomatoes is

[tex]a_t=2.65\times y=2.65y.[/tex]

Therefore, the inequality can be written as

[tex]a_l+a_t\geq 8\\\\\Rightarrow 2.25x+2.65y\geq8.[/tex]

Thus, option (D) is CORRECT.

Triangles are congruent is they have the same ?

Answers

Shape and size. Hope this helped
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there

If three people had three cookies how many ways can they distribute the cookie

Answers

The first cookie can be distributed in 3 ways to the first person.
The second cookie can be distributed in 2 ways to the second person.
There is only one way to give the last cookie to the third person.

Total number of ways  = 3*2*1 = 3! = 6

Answer: 6

What do you do if you're looking for least common multiple and all your numbers are prime?

Answers


It’s important to remember the distinction between “greatest common factor” and “least common multiple.” A factor of a particular number is a bit like a multiplicative LEGO piece that makes it up; they’re the numbers that other natural numbers can be broken down into by division. A multiple is the opposite; a number and the number that it’s multiplied by (say, 8 x 5) *become factors* of a new number (40, in this case).

When we talk about finding the “least common multiple” of a set of numbers, what we’re asking is this: if you list out multiples of each number, what’s the *first* number in those lists they all have in common? For instance, if we wanted to find the least common multiple between 3 and 5, we could list out their multiples:

3, 6, 9, 12, 15, 18, 21
5, 10, 15, 20, 25, 30

15 is the first multiple that appears in both lists, so the least common multiple of 3 and 5 is 15.

What is the slope of a line that is perpendicular to the line y = 8x + 5?

Answers

perpendicular lines, slope is opposite and reciprocal
y = 8x + 5 has slope = 8
so perpendicular line slope = -1/8

answer
-1/8

Answer: [tex]\dfrac{1}{8}[/tex]

Step-by-step explanation:

The given equation of a line : [tex]y = 8x + 5[/tex]

We know that general Slope-intercept form of equation is given by :-

[tex]y=mx+c[/tex], where m is the slope of the line.

When we compare the given equation the general slope intercept form of equation , we get

Slope of line = 8

We know that the product of slopes of two perpendicular line is -1.

Let m be the slope of  line that is perpendicular to the line [tex]y = 8x + 5[/tex], then we have

[tex]-8\times m=-1\\\\\Rightarrow\ m=\dfrac{1}{8}[/tex]

The great pyramid in Egypt was built around 2560 BC over the years it has lost 30 feet of height off its top and is now 451 feet tall. Find the original height of the great pyramid

Answers

You add 30+451= 481

A quarter-circle with a diameter of 4 meters. What is the area?

Answers

First, just find the area of the whole circle:

πr²
π(2)²
4π

Now, just multiply by 1/4.

4π * 1/4
π

Hope this helps!

My father is currently 13 times as old as my daughter. next year, my father will be 11 times as old as my daughter. how many years old is my father now?

Answers

suppose my daughter is x years old now, my father is 13x years old
next year my daughter will be x+1 years old, my father will be 13x+1, which is also 11(x+1)
so 13x+1=11(x+1)
13x+1=11x+11
2x+10
x=5
father is 13x=65 years old now.

What is the new price of s shirt that is on sale for 50% off and has an original price of $50?

Answers

50%=1/2 or 1 half. 50/2=$25

Final answer:

To calculate the new price of the shirt on a 50% sale off its original price of $50, divide the original price by 2, resulting in a new price of $25.

Explanation:

The question asks us to calculate the new price of a shirt that is on sale with a 50% discount from its original price of $50. To find the new price, you simply need to reduce the original price by the percentage of the discount. Since a 50% discount cuts the price in half, you divide the original price by 2.

Calculation:

Original price of the shirt: $50

Discount: 50% of $50 = $50 / 2 = $25

New price after discount: $50 - $25 = $25

Therefore, the new price of the shirt after a 50% discount is $25.

Evaluate the expression choose the best answer 8P3

A. 6,720
B. 876
C. 1,680
D. 336

HELP!!!!!

Answers

8P3
= 8! / (8-3)!
= 8 x 7 x 6 x 5!  /  5!
= 8 x 7 x 6 
= 336

answer
D. 336

The function b(n) = 12n represents the number of baseballs b(n) that are needed for n games. how many baseballs are needed for 15 games?

Answers

Given that the function b(n) = 12n represents the number of baseballs b(n) that are needed for n games.

Then the number of baseballs needed for 15 games is given by b(n) = 12(15) = 180.

What is the measure of ∠SPQ in this rhombus?
m∠SPR = (2x+13)°
m∠QPR = (3x−12)°

Answers

The measure of ∠SPQ in the rhombus PQRS, based on ∠ SPR = (2x+13)°, and ∠ QPR = (3x-12)°, is the sum of the two angles of ∠ SPR and ∠ QPR, which equal the whole or ∠ SPQ, in other words (2x+13)° + (3x-12)°.

Solution:

In a Rhombus The diagonals bisect the angles.

m∠SPR=m∠QPR

Substituting the given values :

2x+13=3x-12

Subtracting 2x both sides:

13=3x-2x-12

13=x-12

Adding 12 both sides:

x=25.

m∠SPR=2x+13=2(25)+13=50+13=63

m∠SPQ=2∠SPR

m∠SPQ=2m∠SPR

m∠SPQ=2x63=126

m∠SPQ= 126 degrees

Please help with 2 questions thank you!

Show all work please!!

Answers

1:
1 - given
2 - defination of bisector
3 - reflexive
4 - given
5 - definition of bisector
6 - ASA congruence theorem

2: SQ = SQ would be the one I would use
Question 1:
1. Given
2. Definition of an angle bisector
3. Reflexive property
4. Given
5. Definition of an angle bisector
6. ASA congruence
(You might have to double check these)

Question 2:
SQ is the line segment that would prove the triangle congruent by HL, since it is a shared side.

Have an awesome day! :)

How can 32 over 6 be expressed as a decimal?

Answers

That would be 5.333333 reapeating
all i did is use a calculator and i got 5.33333333

a model rocket launches into the sky. An observer on the ground measures the angle of elevation to the rocket at its peak height to be 67 degrees. How high did the rocket get if the observer was 100' away from the launchpad?

Answers

Use a right triangle and trigonometry.
The angle is 67 deg.
The adjacent leg is the 100 ft side of the triangle along the ground.
The opposite leg is the unknown height, h.

tan x = opp/adj

tan 67 = h/100

h = 100 * tan 67

h = 100 * 2.36

h = 236

Answer: 236 ft

NEED ANSWER ASAP!!! a compound inequality is graphed, and its graph consists of all real number. which open sentence could have resulted in this solution set? A. r < 5 or r < -1 B. r < 5 or r > -1 C. r > 5 or r < -1 D. r > 5 or r > -1

Answers

When we join two inequalities with an “or,” we unite their graphs – we include all solutions to *both* inequalities. Let’s first look at graphs of each of the four inequalities first, and then we’ll see when we unite them.

r < 5 starts with a hollow circular mark on 5 (since 5 isn’t included in r), and includes everything from there to negative infinity

r > 5 starts with that same mark, but its solutions include everything from there to positive infinity (except 5)

r > -1 starts at -1 and includes everything from there to positive infinity (except -1), and r < -1 stretches to negative infinity (except -1).

We want to join together two inequalities so that their solutions span from negative to positive infinity (all real numbers); which of our options include negative infinity, and which include positive infinity?

Negative infinity: r < 5, r < -1
Positive infinity: r > 5, r > -1

We could try joining r > 5 and r < -1, but then we’d be exclude all of the real numbers between and including -1 and 5. The graphs of r < 5 and r > -1 pass right by each other and continue infinitely off to negative and positive infinity respectively, so all possible real numbers will be included in their combined range.

So, our solution is “r < 5 or r > -1”.

the answer is “r < 5 or r > -1”.

trigonometry word problem

Answers

Where’s the problem at??

Evaluate (7² - 9 ) ÷ ( 55 - 35 ).
A: -34
B: 48
C: -4
D: 2

Answers

This answer is D, 2. Hope this helps 

Which graph represents the solution set for -4(1-×)<-12+2×?

Answers

i will answer assuming that the equation is 4(1-x) < -12+2x

1) 4 - 4x < - 12 + 2x

2) 2x + 4x > 4 + 12

3) 6x > 16

4) x > 16 / 6

5) x > 8 / 3

So the graph is all the real numbers greater than 8/3 which may be represented by a straight line from 8/3 to the right toward infinity


                                                              //////////////////////→
---------|--------------|--------------|----------o-----|-------------->
          0                1                2           8/3   3

The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x 2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle.

Answers

Since it is given that the formula for area is length times width and the area is already given, we are going to find out the value of the width and the length by factoring. The first thing we are going to do is to find first the factors of 12. The factor that can be used for this are 4 and 3. Then, continue with the solution.

So the correct answer for this would be the last option.  l = x + 4; w = x + 3.

Please mark me Brainliest and hope this helps :)

Simplifly by using the distributive property 4r+3(r-2)

Answers

7r-6 if you simplify that's the answer.

4r + 3(r - 2)

Let's focus on the 3(r-2)

In order to distribute this, we multiply 3 to r AND -2 each

After using the distributive property, we get the following

3(r - 2) = 3r - 6

Now, let's go back to the whole equation

4r + 3(r - 2)

= 4r + 3r - 6

Combine like terms

7r - 6

That's your answer.

Have an awesome day! :)

how do you do 36-7p=-7(p-5)

Answers

First, distribute the negative seven to the p and negative five in the parentheses. it should look like 36 - 7p = -7p + 35.

Next, add seven p to both sides and it cancels out. 36 -7p = -7p + 35.
                                                                                       +7p= +7p
Then minus thirty five on both sides. You get an inconclusive answer of 1=0
 
  
Final answer:

equation 36-7p=-7(p-5) simplifies to 36=35 after distributing and cancelling variables which results in an inconsistency. Therefore, this equation has no solutions.

Explanation:

The question involves working with linear equations. From the equation, 36-7p=-7(p-5), we will aim to isolate the variable, 'p'.

In this equation, start by distributing the -7 into the bracket. So, -7(p-5) becomes: -7*p + 7*5, which simplifies to: -7p + 35. Now, your equation should look like: 36 - 7p = -7p + 35.Next, let's cancel out -7p from one side by adding 7p to both sides. You get: 36 = 35.This is an inconsistency because 36 is not equal to 35. Therefore, this equation has no solution.

Learn more about Linear equations here:

https://brainly.com/question/32634451

#SPJ2

Five friends made 100 dollars working together.how much did each person make if the earnings are divded equally ?

Answers

• Divide: 100 ÷ 5 = 20

So each person made $20.00.

Hope this helps! :D

~PutarPotato

Choose the correct ordered pair !!

Answers

It is B.

x+y=3
y=9

To solve the equation you would substitute 9 in for y (in the first equation) and get
x+9=3
You would then subtract 9 from both sides of the equation to get
x=-6
B is the only choice where -6 is first in the ordered pair, but just to make sure, you could substitute -6 back in to the equation to get
-6+y=3
Add 6 to both sides to get y=9, and you know that the correct ordered pair is 
(-6,9)
First, let's plug the information we have into the equation. 
x + 9 = 3

Next, you would have to do is isolate the x. To do this, you would subtract both sides by 9. 
x + 9 = 3
x = -6

So, this is what we know. 
y = 9
x = -6

Now, all you would have to do is change them into coordinates. (x,y)
(-6,9)

Your answer would be B. (-6,9). 

I hope this helps!

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