Final Answer: [tex]3x + 12[/tex]
Steps/Reasons/Explanation:
Question: Simplify the expression [tex]5x + 6(x - 2) - 8(x - 3)[/tex].
Step 1: Expand by distributing terms.
[tex]5x + 6x - 12 - 8(x - 3)[/tex]
Step 2: Expand by distributing terms.
[tex]5x + 6x - 12 - (8x - 24)[/tex]
Step 3: Remove parentheses.
[tex]5x + 6x - 12 - 8x + 24[/tex]
Step 4: Collect like terms.
[tex](5x + 6x - 8x) + (-12 + 24)[/tex]
Step 5: Simplify.
[tex]3x + 12[/tex]
~I hope I helped you :)~
I hate math
First thing's first, PEMDAS. There's nothing to solve in the parenthesis, and there are no exponents, so use multiplication next. 6 • (x-2) and -8 • (x-3)
Your equation after should be
5x + 6x - 12 - 8x + 24
Next would be addition, don't forget it's always left to right.
11x - 12 - 8x + 24
Subtract twelve from the total (or in this case just from 24, and then add the remaining values (that are possible).
11x - 8x + 12
Next, subtract the two remaining x values.
3x + 12
And there you have it. Easy peasy.
If the case is trying to find x, just solve it like this.
3x = -12
x = 4
Find the slope of the line.
3,2 6,3
Express in the form 1:n
Give n as a fully simplified fraction.
12:2
Answer:
divide 12
12/12 : 2/12
1 : 2/12
1 : 1/6
n=1/6
I need help with This one
Answer:
1 and 2
Step-by-step explanation:
If y was 1: -2 x 1 + 18 = -2 + 18
= 16 This works
If y was 2: -2 x 2 + 18 = -4 + 18
= 14 This works
If y was 3: -2 x 3 + 18 = -6 + 18
= 12 This does not work since -2y + 18 has to be greater than 12.
Please Help :))
Find the value of x in each pair of similar figures
Answer:
21
Step-by-step explanation:
set up proportion and solve
18/12=x/14 (cross multiply)
252=12x
21=x
tan²Ф+sec²Ф=3
can someone solve this by finding all answers as the nearest whole degree
Recall that
tan²(x) + 1 = sec²(x)
for all x ≠ (2n + 1) 90°, where n is any integer. (That is, whenever x isn't an angle that is an odd multiple of 90°.)
Then
tan²(Φ) + sec²(Φ) = 3
tan²(Φ) + (tan²(Φ) + 1) = 3
2 tan²(Φ) + 1 = 3
2 tan²(Φ) = 2
tan²(Φ) = 1
tan(Φ) = ±√1
tan(Φ) = 1 or tan(Φ) = -1
Φ = tan⁻¹(1) + n 180° or Φ = tan⁻¹(-1) + n 180°
Φ = 45° + n 180° or Φ = -45° + n 180°
The first family of solution is the set of angles
{…, -315°, -135°, 45°, 225°, 405°, …}
and the second family is the set
{…, -405°, -225°, -45°, 135°, 315°, …}
(showing the solutions for n = -2 to n = 2)
You can condense the solution set into one family by noticing each angle is 45° plus some multiple of 90°, so that
Φ = 45° + n 90°
If you're looking for solutions in a given range, such as 0 ≤ Φ < 360°, then
Φ = 45°, 135°, 225° or 315°
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the
doghouse?
Complete the calculations so that each shows the correct sum. (WILL MARK THE BRAINLIEST!!!)
Answer: a. 2.964 b. .262
Answer:
2.964
Step-by-step explanation:
Hope this helps!
using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction.
Answer:
First, we can write a fraction as a/b
Where a is the numerator, and b is the denominator.
A proper fraction is a fraction where the numerator is smaller than the denominator.
Using only the given numbers (only once per fraction), some examples of proper fractions are:
3/5
3/8
5/8
3/85
3/58
5/83
5/38
8/35
8/53
You can see that in all of them the denominator is larger than the numerator.
The improper fractions are those where the numerator is equal or larger than the denominator.
The 9 examples using the given numbers are:
5/3
8/5
8/3
35/8
38/5
53/8
58/3
83/5
85/3
PLEASEE HELP IM BEGGING YOU
Answer:
1 7/12
Step-by-step explanation:
Its 1 7
/12
Answer:
1 7/12
Step-by-step explanation:
Hope this helps!
Brainiest?
Add these two expressions … 15.5y - 10.3 and -35.4y + 5
Answer:
-19.9y-5.3
Step-by-step explanation:
Could somebody pls help me with this question
Answer:
18 minutes is the answer
Step-by-step explanation:
•Time couple rested in 2 hrs = 12 min
•Time couple rested in 1 hr = 12/ 2 min = 6min
•Time couple rested in 3 hrs = 6×3 min = 18 min
HOPE IT HELPS YOU
MARK ME AS BRAINIEST
AND YOU CSN THANK ME IN THE COMMENT
(can u guys help me PLSSSSS ) A company sets sales goals for employees each month.
A: At her current pace, how many items will Kristina sell in 28 days?
B:Is she on track to meet the goal? Explain
A restaurant customer left $1.80 as a tip. The tax was 5% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip?
Answer:
it's b
Step-by-step explanation:
Is 8/18 closer to 0 1/2 or 1
Answer:
Closer to 1\2
Step-by-step explanation:
half of 18 is 9 and if you add 1 to 8 you get 9 so 8\18 is closer to 1\2
Hope it helps!
Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?
Answer:
$2 more.
Step-by-step explanation:
In this question, we have to find how much more money Victoria is saving.
We know that Jacob saved $174 in 3 months.
We also know that Victoria saved $360 in 6 months.
Lets find how much money they save per month:
Jacob:
174 ÷ 3 = 58
Victoria:
360 ÷ 6 = 60
Jacob is saving $58 per month and Victoria is saving $60 per month.
This means that Victoria is saving $2 more than Jacob per month.
Answer:
2
Step-by-step explanation:
multiply by 2 and then divide by 6
What is the combined length of all the buttons longer than 1 inch
Answer:
Where is the problem to solve?
Step-by-step explanation:
(05.08A)The figure below shows three quadrilaterals on a coordinate grid:
A coordinate plane is shown. Figure Q is a quadrilateral with sides measuring 5 and 2. Figure S is a quadrilateral with sides measuring 5 and 2. Figure W is a quadrilateral with sides measuring 10 and 4.
Which of the following statements is true about the three quadrilaterals?
Q and W are similar but not congruent.
W and S are similar and congruent.
W and Q are similar and congruent.
Q and S are similar but not congruent.
Answer:
Q and w are similar BUT NOT CONGRUENT
Step-by-step explanation:
I TOOK THE QUIZ lol
Answer:
a
Step-by-step explanation:
Investors buy a studio apartment for 240,000. Of this amount, they have a down payment of 60,000. Their down payment is what percent of the purchase price?
Answer:
Step-by-step explanation:
What is the value of y in this triangle?
Answer:
value of y in triangle is D. 36° okay
Hw help ASAPPP
+10PTS
Solve:
(7 × 8) − (35 + 12) − (2 × 2) =
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
Evaluate
Check all that apply.
2
5
O The exponent is
O The expanded form is
The expanded form is 2x2x2
5
6
15
8
125
Answer:
a b and e
Step-by-step explanation:
hope this helps
Answer:
it b and e
Step-by-step explanation:
rrrrrrrrrrrrrrr
A weather report stated that the monthly rain amounts for the past three months were 15.82 inches, 17.4 inches, and 9.56 inches.
What is the total amount of rainfall for the three months?
A. 27.12 inches
B. 41.178 inches
C. 42.42 inches
D. 42.78 inches
Answer:
42.78 inches
Step-by-step explanation:
The anount of rainfall for the past three months are
15.82 inches
17.4 inches
9.56 inches
Therefore the total amount of rainfall for the three months can be calculated as follows
= 15.82+17.4+9.56
= 42.78
Hence the total rainfall for three months 42.78 inches
HELP ASAPP!!!!!!!!!!!!!!!!
Answer:
1st one
Step-by-step explanation:
[tex] \frac{1x}{8} + \frac{1x}{8} \\ \frac{2 x}{8} = \frac{1x}{4} [/tex]
2x + 3y = 2
y = {x+3
The solution of the system is (-2,2)
Step-by-step explanation:
a solution is a system of equations intersecting.
on the graph you can see that the lines intersect at (-2,2)
Work backwards using the Distributive Property.
8(2) + 6(2) =
O 6(8+2)
O 8(2 +6)
O (8+6)2
O 2(6+2)
divide the stars into 3 equal groups .
How many stars are in each group ?
what is 1/3 of 9 ?
Answer: 3
Step-by-step explanation: Divide 9 by 3
Convert 3 weeks to hours. Use a lable.
Answer: 504 hours.
Step-by-step explanation: I am assuming it says, use a table not a lable.
Well, I can't make a table, so I will tell you where to put everything in a table.
We start with placing one day, one day is 24 hours. One day goes on the top, 24 hours goes on the bottom. Then, we know there are 7 days in a week, so we jump ahead, we multiply 24 by 7 and 1 by 7.
24 x 7 = 168 and 1 x 7 = 7
So for every week, it is 168 hours. Now we need to find three weeks. So we multiply 7 x 3 to get the days. which is 21. Now we need to multiply the hours by the 3 weeks. So we multiply 168 by 3 which is 504.
So 504 hours are in 3 weeks.
Find the slope intercept equation of the line
PLEASE SOMEONE HELP WHO UNDERSTANDS HOW TO DO THESE BECAUSE I KEEP GETTING THE WRONG ANSWER!!!
Step-by-step explanation:
For every 3 blocks across, the line graph goes up by 2 blocks. Therefore the slope of the line is 2/3.
The line also intercepts the y-axis at -3.
Hence the slope-intercept form is y = 2/3 x - 3.