Answer:
x = 7/12
Step-by-step explanation:
Write the expression in exponential form with the base of 2
[tex]2x^{3x-3}[/tex] = [tex]32^{3x-2}[/tex]
[tex]2^{3x-3}[/tex] = [tex]2^{15x-10}[/tex]
Since the bases are the same, set the exponents equal
x - 3 = 15 - 10
Move variable to the left-hand side and change its sign
3x - 15x - 3 = -10
Move constant the the right-hand side and change its sign
3x - 15x = -10 + 3
Collect like terms
-12x = -10 + 3
Calculate the sum
-12x = -7
Divide both sides o the equation by -12
x = 7/12
Solution
7/12
Alternate form
x = 0.583
What is the value of a such that the point (a, 4) is part of the solution set for the equation 4x + 2y
36?
-8
-2
7
10
Answer:
7
Step-by-step explanation:
Given expression:
4x + 2y = 36
coordinates = (a,4)
Solution:
From the given coordinates;
x = a
y = 4
4x + 2y = 36
Substitute for the values and find "a"
4a + 2(4) = 36
4a + 8 = 36
4a = 36 - 8
4a = 28
a = 7
The solution is 7
PLEASE HELP ME!!
Which estimation technique will yield a solution that is the farthest from the actual product of (-14.89)(1.35)
A) front-end estimation
B) rounding to the nearest tenth
C) rounding to the nearest whole number
D) compatible numbers
Answer:
C sorry if im wrong
Step-by-step explanation:
its what i think
Answer:
A. front-end estimation.
Step-by-step explanation:
I got it right on the test. It'd be appreciated if this was marked as brainliest.
Solve for x.
3y = x + 8
what is the equation of the horizontal line through (-7,-3)?
Answer:
9
Step-by-step explanation:
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
8.5x -2(2x +8) = 11
what is the answer
Find the unit rate: $23.96 for 4 pounds
Answer:
5.99 dollars per pound
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.
HHHHHEEEEELLLLLPPPPP. MMMMMEEEEE
Answer:
Sorry if I’m wrong but is it ... 90???
Step-by-step explanation:
========================================================
Work Shown:
The given list is {95, 89, 99, 85, 82, 81, 99}
Sort this list from smallest to largest.
We then have this: {81, 82, 85, 89, 95, 99, 99}
Next we will erase the first and last items in that sorted list above
Doing so leads to this smaller list: {82, 85, 89, 95, 99}
Repeat the step from before. Erase the first and last items
We now have {85, 89, 95}
One more time lets erase the first and last items getting {89}
This shows that 89 is the very center item
Going back to {81, 82, 85, 89, 95, 99, 99} we see that 89 is at the center with three items below it (81,82,85) and three items above it (95,99,99)
Therefore, the median is 89.
----------------------------------
Another route to take is to count the number of items in {81, 82, 85, 89, 95, 99, 99}. You should count 7 items.
Add 1 and divide by 2 to get (7+1)/2 = 8/2 = 4
The median is in slot 4, which is exactly where 89 is located in the list {81, 82, 85, 89, 95, 99, 99}
Note: this trick only works if you have an odd number of items in a set.
Is √3,600 rational? Or a perfect square
Answer:
Yes to both
Step-by-step explanation:
15-2
6. What is the value of the expression "eight more than three times the difference of four and a number' when
n = 3? (LEVEL 4)
Answer:
11
Step-by-step explanation:
3(4-n)+8
n=3 so
3(4-3)+8
3(1)+8
3+8
11
72 + (7x+24) = 180
need to find value of x with steps
Answer:
[tex]\boxed {x = 12}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]72 + (7x + 24) = 180[/tex]
Add both [tex]72[/tex] and [tex]24[/tex] together:
[tex]72 + (7x + 24) = 180[/tex]
[tex]96 + 7x = 180[/tex]
-Subtract [tex]96[/tex] to both sides:
[tex]96 - 96 + 7x = 180 - 96[/tex]
[tex]7x = 84[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{84}{7}[/tex]
[tex]\boxed {x = 12}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]12[/tex].
The value of x in the equation is 12
The given equation is: 72 + (7x+24) = 180
In order to determine the value of x, take the following steps:
1. Expand the terms in the bracket
72 + 7x+ 24 = 180
2. Combine similar terms
7x = 180 - 72 - 24
3. Add similar terms together
7x = 84
4. Divide both sides of the equation by 7
7x / 7 = 84/ 7
x = 12
In order to check if the value of x gotten is correct, substitute for x in the equation
72 + (7(12)+24) = 180
72 + 84 + 24 = 180
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People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
Simplify
-5y - X + 7 - 2y + 3x + 4
Answer:
-7y + 2x + 11
Step-by-step explanation:
-5y - X + 7 - 2y + 3x + 4
-7y + 2x + 11
Answer: 2x-7y+11
Step-by-step explanation:
Add the x's and then add the y's. add the 4 and seven because they do not have a variable.
BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week?
Answer:
1102.5 pounds of apples will be sold in a week.
Step-by-step explanation:
Amount of apples in each bag = 3.5 pounds
If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45
= 157.5 pounds
Number of days in a week = 7
Amount of apples sold in one week = Apples sold in a day × Number of days in a week
Amount of apples sold in 7 days = 157.5 × 7
= 1102.5 pounds
Therefore, amount of apples sold in a week = 1102.5 pounds
Answer:
1102.5 pounds
Step-by-step explanation:
Read the problem. The Sweet Dreams Hotel has a total of 125 rooms. If 25 are vacant, what percent of the rooms at the Sweet Dreams Hotel are vacant? Pick the model that represents the problem.
Answer:
20%
Step-by-step explanation:
First of all I don't known what the model thing is but I'll tell you the percent
25 /25
125 /25
= 1/5
1/5 as a percent=
1 *20
5 *20
= 20%
PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:
Answer:
a. 3x-12= -18 b. x=-2
Step-by-step explanation:
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
Answer:
5 cents
Step-by-step explanation:
If bat + ball = 1.10 and the bat is a dollar more you know that the bat must cost at least 1 dollar. Divide the ten cents by two to split it evenly between the two and $1.05 is one dollar more than 5 cents
What is five times seven divided by nine
Answer:
3.9 or 3.88888888889
Step-by-step explanation:
5*7=35
35/9=3.88888888889=3.9
Answer:
5*7 = 35 / 9 =3
Step-by-step explanation:
because it is the closest
David's favorite snack cake is $0.25 if bought individually , or $1.50 for a box of 10. How much less is the price per cake when bought in a box?
Answer:
$1.25
Step-by-step explanation:
Subtract $0.25 by $1.50
$1.50-$0.25=$1.25
PLEASE ANSWER ASAP
1.) the sum of two numbers is 42, the difference is 30. find the two numbers
2.) the perimeter of a rectangle is 62cm, the length is 1cm more than twice the width, what are the dimensions of the rectangle?
3.) in blue river terry can row 36km downstream in three hours, but it takes him 6 hours to row the same distance upstream, find the rate he rows in still water and the rate of the current.
4.) the cost of 8 avocados and 3 tomatoes is $8.39, the cost of 4 avocados and 12 tomatoes is $11.44. find the cost of each avocado and each tomato.
5.) coffee is worth $2.95 a pound was mixed with coffee worth $3.50 a pound to produce a blend worth $3.30 a pound. how much of each coffee was used to produce 44 pounds of blended coffee?
Answer:
1.) The two numbers are 36 and 6.
2.) 42cm + 20cm = 62cm
3.) 3km/hr = rate of current
4.) Each cost 0.79 cents
5.) Mixed is 16 lbs
Blended is 28 lbs
Step-by-step explanation:
Help I need to pass this
Answer:
bottom right hand corner is false
Step-by-step explanation:
Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure
A tv costs $150. You have a coupon for 12% off.
1) How much money will be taken off of the price of the tv?
2) How much will you pay for the tv?
Answer:$18 taken away and the total will be 132
Step-by-step explanation:
What is the slope of the line???
PLEASE HELP!?
If someone could help me I would really appreciate it!
Factor by slide and divide!
Answer:
(3x-4)(2x+5)
Step-by-step explanation:
6x^2 + 7x + 24
= 6x^2 + (15-8)x + 24
= 6x^2 + 15x - 8x + 24
= 3x( 2x+5 ) - 4( 2x+5 )
= (3x-4)(2x+5)
The entire length of the Appalachian Trail is 2,160 miles. How long would it take you to hike the full length of the trail?
Answer:
Step-by-step explanation:
10hours
what are all the factors of 21?
Answer:
1, 3, 7, 21
p-by-step explanation:
Which rule describes the transformation?
I think its (x,y-(-x,-y)
what is the maximum number of terms a fourth-degree polynomial function in standard form can have?
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
The general form of an nth degree polynomial is:
[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
The maximum number of terms that an nth -degree polynomial can have is n+1
For a fourth degree polynomial, n = 4
Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]
The maximum number of terms of p(x) above, when n = 4 is (4+1)
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
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According to a report, % of murders are committed with a firearm. (a) If murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe murders by firearm in a random sample of murders? Why?
Full question attached
Answer:
A. 230.4
B. 3.23
Explanation:
1. if 78.26% of murders are committed with firearms, 300 murders selected at random would be expected to have been committed with 300*0.7826= 230.4 firearms
2. To find how unusual this figure is, we find standard deviation from the mean 230.4
Standard deviation = x-u/N
=254-230.4/7.311= 3.23 rounded
Therefore 254 is unusual
7.311 is calculated √np(1-p)