Answer:
x = 1
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Note that 9 = 3² and 27 = 3³ , thus
[tex]9^{x-2}[/tex] × [tex]27^{x}[/tex]
= [tex](3^2)^{x-2}[/tex] × [tex](3^3)^{x}[/tex]
= [tex]3^{2x-4}[/tex] × [tex]3^{3x}[/tex]
= [tex]3^{(2x-4+3x)}[/tex]
= [tex]3^{5x-4}[/tex] , then
[tex]3^{5x-4}[/tex] = [tex]3^{1}[/tex]
Since the bases on both sides are equal, equate the exponents
5x - 4 = 1 ( add 4 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
In the figure below, 7 || m. Find x
Answer:
80
Step-by-step explanation:
If a piggy bank consists of quarters and dimes.
There are 4 more dimes than quarters and the total
value of all the coins is $4.60. How many quarters
and dimes are there in the bank?
Answer:
There are 12 quarters and 16 dimes
Step-by-step explanation:
Firstly, we need to know that a quarter is worth $0.25 while a dime is worth $0.10
There are 4 more dimes than quarters;
So if there are x quarters, there are x + 4 dimes
From the question we can get;
0.25(x) + 0.1(x + 4) = 4.6
0.25x + 0.1x + 0.4 = 4.6
0.35x = 4.6-0.4
0.35x = 4.2
x = 4.2/0.35
x = 12
X + 4 = 12 + 4 = 16
4 4/5 What decimal should the digital scale show?
Answer: 4.8
Hope this helped!
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36. Rachel is setting up for her birthday. Rachel wants to put the same number of chairs around each table. How many chairs will Rachel place around each table at her birthday party?
Answer:
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel is setting up for her birthday. Rachel wants to put the same number of chairs around each table. How many chairs will Rachel place around each table at her birthday party?
✔ 6
Step-by-step explanation:
got it right on edge
4 , 15 , 30 , 49 , 72 , 99 , 130 what is the nth term would really appreciate help
Answer:
30 i think
Step-by-step explanation:
Please help I have no idea what the answer is
Answer:
x = 25
Step-by-step explanation:
Answer:
x= 25
Step-by-step explanation:
Add 2 given sides then subtract 180
2,000,000 + 900,000 + 50,000 + 4,000 + 100 + 60 + 1 in standard form?
Answer:
2,954,151
Step-by-step explanation:
Answer:
2954161
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve.
-2/5x-9<9/10
I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE!!!!!!!
Answer:
Step-by-step explanation:
263
273
237
267
627
623
673
637
327
367
763
723
I dunno anymore. 12
What is 4+3?
Giving points back to the community!
Answer:
10004
Step-by-step explanation:
Write the equation of the line that passes through the points (5,0) and (-6, -1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]
Step-by-step explanation:
We need to find equation of line in point slope form that passes through points (5,0) and (-6, -1).
The general equation of point slope form is: [tex]\mathbf{y-y_1=m(x-x_1)}[/tex]
where m is the slope of line.
We need to know Slope m
Finding Slope m
Finding Slope m using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=5, y_1=0, x_2=-6 \ and \ y_2=-1[/tex]
Putting values and finding slope
[tex]Slope=\frac{-1-0}{-6-(5)}\\Slope=\frac{-1}{-6-5}\\Slope=\frac{-1}{-11}\\Slope=\frac{1}{11}[/tex]
So , slope m is: [tex]\mathbf{m=\frac{1}{11}}[/tex]
Using point (5,0) and slope m =1/22 the equation of point-slope form is:
[tex]y-y_1=m(x-x_1)\\y-0=\frac{1}{11} (x-5)\\y=\frac{1}{11}x-\frac{5}{11}[/tex]
So, the equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]
Enter the ordered pair for the vertices for (Ry-axis ○ T(2, 0))(QRST).
Answer:
The answer is:
[tex]Q' = (-3, 3)\\\\R' = (-5, -3)\\\\S' = (-2, -2)\\\\T' = (0, 1)\\\\[/tex]
Step-by-step explanation:
All vertices of its quadrilateral were co-ordinated;
[tex]T(-2, 1), \ Q(1, 3), \ S(0, -2), \ R(3, -3)[/tex] Therefore, we first undertake the operation correct: [tex]T(2, 0) \ QRST[/tex], there;
[tex]T(2, 0) \ QRST[/tex] [tex]\to T(-2 + 2, 1), \ Q(1 + 2, 3), \ S(0 + 2, -2), \ R(3 + 2, -3)[/tex]
[tex]T(2, 0) \ QRST[/tex][tex]\to T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)[/tex]
A preimage (x, y) will be the image in the next phase R-y-axis reflecting mostly on the y-axis (-x, y) and we've got it;
R y-axis [tex](T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)) = \ T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2), \ R'(-5, -3)[/tex]From which we get [tex](Ry-axis \ T(2, 0)) \ (QRST = T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2),\ R'(-5,-3).[/tex]
What is the y-intercept of the line 7x - 5y = 35
Answer:
(0,-7) is the answer
Bank A offers to pay you 3.5% annual interest if you deposit $500 for one year. Bank B will pay you 1.25% annual interest if you deposit $600 for one year. Which bank do you think will pay more to deposit your money over the course of a year?
An athlete runs 1 mile in 5 minutes 52 seconds. What is her/his average speed in feet per second!
Answer: The answer is B 12
Step-by-step explanation:
571 x ?
I don’t know
what I’m doing wrong !
Please answer this the way it’s shown thanks
Answer:
5
571
x 38
---------
4,568 <------571×
+3,213x <------571x
------------
36,698
What’s this in standard form it’s in photos
Can someone tell me the answers for all 10 questions
Answer:
18x+8
-48x-24
4x+5
-48x-18
6x-16
30x-10
-24x+8
30x-10
10x-2
-9x+6
The answeres are in ordered so you dont get comfused.
I hope this help you! :)
Which of the following describes the correct first step in solving the equation 2x - 7 = 5?
Answer:
Adding 7 to both sides of the equal sign
Step-by-step explanation:
Choose the division equation that represents the fraction shown 1/7
Answer:
1÷7 is the answer
What percent of 160 is 24?
Answer:
i think its 38.4 but im not 100% sure
Answer:
15
Step-by-step explanation:
what is the gcf of 12 and 8
Can someone really help me pls
Answer:
7 units down
Step-by-step explanation:
it goes from 0 as intercept to -7
Answer:
in my opinion I would say your answer should be -7
8 Find RT.
R
Р
S
15x - 17
23- 6
Q
T
Answer:
RT = 86
Step-by-step explanation:
23x - 6 = 2(15x - 17)
23x - 6 = 30x - 34
23x - 30x = - 34 + 6
-7x = -28 |÷(-7)
x = 4
RT = 23x - 6 = 23 × 4 - 6 = 92 - 6 = 86
4.2z + 3.8z simplify the expression (Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the expression.)
Answer:
8z
Step-by-step explanation:
Since these are like terms, add the numbers together and then put the z on.
Identify the slope of each of the following equations.
(a) y = 4/5x + 3
(b) y = -x + 1
(c) y = 2x
And what is the y-intercept of equation (c)?
Answer:
Please see the explanation.
Step-by-step explanation:
As we know that the slope-intercept form of the equation is
[tex]y=mx+b[/tex]
where m is the slopeb is the y-interceptNow, comparing the given equations with the slope-intercept form
a) y = 4/5x + 3
Here:
m = 4/5
Therefore, the slope of the equation y = 4/5x + 3 is: m = 4/5
b) y = -x + 1
Here:
m = -1
Therefore, the slope of the equation y = -x + 1 is: m = -1
b) y = 2x
Here:
m = 2
y-intercept = b = 0 ∵ y = mx+b here b is the y-intercept
Therefore, the slope of the equation y = 2x is:
m = 2 and
y-intercept = b = 0
Lindsay joins a weight loss program that has a membership fee of $20 plus $15 per month. Her friend joined another program that has a fee of $40 and charges $10 per month. In how many months will Lindsay and her friend's cost be the same? 4 months 8 months 80 months O 20 months
Tom collects 20 crayons from his sister.
One of the crayons is the color red.
Find the percentage of crayons that are colored red in the bundle that Tom collected.
Answer:
5%
1 of the 20 crayons is red, so...
1/20 = 5% or 0.05
Answer: 5%
Step-by-step explanation:
Pumpkins at the pumpkin patch cost $3 for a small or $5 per large. On Saturday, they collected $105 and a total of 29 pumpkins sold. Create the two equations that would represent this system and type them in below: *
Let, number of small and big pumpkin are x and y.
So, mathematical equation is given by :
x + y = 29 ...1)
3x + 5y = 105 ...2)
Putting value of x from equation 1 to equation 2, we get :
[tex]3(29-y ) +5y=105\\\\2y = 18\\\\y = 9[/tex]
So, x = 20
Therefore, number of small and large pumpkins are 20 and 9 respectively.
Hence, this is the required solution.
a ship leaves port and travels 40 miles due north, then changes course to n35e and travels for 50 more miles
Answer:
Ok so the problem is what are we looking for how many miles was traveled? or what