9 to the power 18 = 27 to the power x work out the value of x
Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skateboard was $84.50. The sale price for the skateboard is $50.70 What is the percent decrease in the price of the skateboard?
Answer:
40
Step-by-step explanation:
For what value of x is line f parallel to line g?
Answer:
13
Step-by-step explanation:
So the concept is that co-interior angles add up to 180 in parallel line. This means:
3x + 9 + 9x + 15 = 180
So we solve for x.
12x + 24 = 180 ( What I did was simplifying the equation).
12x + 24 - 24 = 180 - 24
12x / 12= 156 / 12
x = 13
HOPE THIS HELPED
Please when giving answer please show the work my teacher won’t let me turn it in with just the answer
Answer:
5000 millimeters
Step-by-step explanation:
5*1000=50
the sum of three numbers is 106. the first number is 6 less than the second. the third is 2 times the first
Answer: 31/25/50
Explanation: 31 is the second one. 6 less than second is 25 which is the first one, and third is 2x the first so 50
50 + 25 + 31 = 106
Find the midpoint of (-6,2) (-4,-11)
Answer:
(-5,-4.5)
Step-by-step explanation:
Question 11 of 40
Solve the inequality.
4x < 20
A. X> 5
B. x < 5
C. x < 80
D. X> 80
I know it’s 5 just which way is the sign supposed to point?
Answer:
b
Step-by-step explanation:
4x<20
4/4 x < 20/4
x<5
Could someone please help answer this (homework help) will give brainliest, please no spam, thank you!
Answer:
m= 4(25) + 2(7)
m= 100 + 14
m= 114
what is the estimate of 19,369
Answer:
19,500
Step-by-step explanation:
This is probably a good one.
5. Which of the following is a sign that you have a budget deficit?
Your savings account balance grows every month.
. You overdraw your checking account on a consistent basis (with a $25 cost per overdraft).
Your checking account balance grows every month.
The ____ of the ratio of two proportional qualities?
Answer:
2
Step-by-step explanation:
its 2
Consider the linear equation y=4x-7 find the value of y that makes the given ordered pair a solution to the equation (3, y) Y=
Can someone help me do this
A factory uses 220,000 gallons of water to produce
2 tons of steel. How many gallons of water are
needed to produce 1 pound of steel?
A 55 gallons
B 110 gallon
C 110,000 gallon
D 440,000 gallon
solve for the value of r
Answer:
[tex]r = 13[/tex]
Step-by-step explanation:
[tex](8r + 5) + (5r + 6) = 180 \\ 13r + 11 = 180 \\ 13r = 180 - 11 \\ 13r = 169 \\ \\ r = \frac{169}{13} \\ \\ r = 13[/tex]
Type the correct answer in each box.
The value of x is ___°, and the value of y is ___°.
Answer:
The value of x is 60°, and the value of y is 50°.
Step-by-step explanation:
50°+70°+x°=180°
x=180°-120°
x=60°
similarly the angle on the left side of x will be
70°
All these angles form 180°(linear pair)
hence, 70°+60°+y°=180°
130°+y°=180°
y°=180° - 130°
y°=50°
Hope this helps you. Have a nice day. Please amrk as braiiest. It helps a lot.^_^
x-16=9(2x+3)-9 find x
Answer:
x= -2
TO MUCH STEPS
A REALITY OF RATIONAL ALGEBRAIC EXPRESSIONS
Rational equations can be used to solve a variety of problems that involve rates, times and work. Using rational expressions and equations can help you answer questions about how to combine workers or machines to complete a job on schedule.
0.8% of 150 is what numbers and how do you write the equation with a variable in it.
Answer:
1.2
Step-by-step explanation:
1. First, we have to write an equation with a variable! Given 0.8%, we know that it's equal to (0.8/100), and "of" means to multiply. Therefore, the equation will looks like this: [tex]\frac{0.8}{100} * 150 = x[/tex]
2. Now, let's solve for x!
[tex]\frac{0.8}{100} * 150 = (0.008)(150)[/tex] [tex](0.008)(150) = \frac{6}{5}[/tex] [tex]\frac{6}{5} = 1\frac{1}{5}[/tex] [tex]1\frac{1}{5} = 1.2[/tex] [tex]1.2[/tex]Therefore, 0.8% of 150 is 1.2!
Classify the system of equations and identify the number of solutions.
2x + y = 5
6x + 3y = 25
inconsistent; one
consistent, dependent; one
consistent, dependent; infinite
inconsistent; none
HELP ASSAP PLS
Step-by-step explanation:
2x + y = 5 (times 3)
6x + 3y = 25
↓↓↓↓↓↓↓↓↓↓↓↓
6x + 3y = 15
6x + 3y = 25
→ No solution ←
2x+y=5
y=-2x+53y=-6x+15--(1)6x+3y=25
3y=-6x+25As slopes are equal lines are parallel
So no solutions
Option D
B is the midpoint of AC. if ac =10 and BC =x+1 find the value of x
Answer:
x=9
Step-by-step explanation:
x+1=10
*subtract 1 from both sides
x=9
Liv earns $9.50 for every two bracelets she sells. The equation y = 4.75x can be used to represent this situation.
What is the constant of proportionality? Express your answer in decimal form.
Answer:
2.58
Step-by-step explanation:
In class today, we had 98 notebooks and 70 children.If each child gets two notebooks, how many more notebooks will we need?
Answer:
42
Step-by-step explanation:
times 70 by two to get how many notebooks needed total.
70*2=140
subtract how many notebooks you already had.
140-98=42
The no. of notebooks we need more will be equal to 42 notebooks.
It is given that no. of notebooks available is 98 and there are 70 children in class.
We have to find no. of notebooks needed more if each child gets two notebooks.
What is algebra ?
Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations and the symbols are called variables.
As per the question ;
No. of notebooks we had in class = 98 notebooks
And
Total no. of children = 70 children
The no. of notebook each child gets = 2 per child
So ;
70 children will get no. of notebooks ;
= 70 × 2
= 140 notebooks
The no. of notebooks we need will be ;
= 140 - 98
= 42 notebooks
Thus , the no. of notebooks we need will be equal to 42 notebooks.
To learn more about algebra click here ;
https://brainly.com/question/22516053
#SPJ2
what is 9,340 x 4/3.
Answer:
12453.3333333
Step-by-step explanation:
4/3 is the same things as 4 ÷ 3 which is 1.33333333333
1.33333333333*9340 = 12453.3333333
Hope this helps!
Statement (Mathematical Steps) 12 > 7(4 + 5) − 19 show ecah reasonReason
Answer:
4 23/42 ≅ 4.547619
Step-by-step explanation:
help pls
what is the slope intercept form of (4,-3) and (2,1)
Step 1: Find the Slope
Slope Formula: (y2 - y1) / (x2 - x1)
Point 1 = (4, -3)
Point 2 = (2, 1)
Slope = (1 - - 3) / (2 - 4) = (4) / (-2) = -2
Step 2: Find the Y-Intercept
Plug in the slope and one of the points into slope-intercept form and solve for b.
Slope-Intercept Form: y = mx + b
1 = -2(2) + b
1 = -4 + b
b = 5
Step 3: Put it all together
Plug in the slope and y-intercept into slope-intercept form.
Slope-Intercept Form: y = mx + b
y = -2x + 5
Hope this helps!! :)
Mary Seitz invested a certain amount of money in a savings account paying 3% simple interest per year. When she withdrew her money at the end of 3 years, she received in $3900 interest. How much money did Mary place in the savings account?
Answer:
351
Step-by-step explanation:
3%=0.03
3900*0.03*3=351
3/5 × 7 1/2 ÷ 2 7/10
Answer:
simplify??
Step-by-step explanation:
Exact form:5/3
Decimal form:1.6
Mixed number form:1 2/3
A recipe called for the ratio of sugar to flour to be 8 : 7.If you used 48 ounce of sugar, how many ounces of flour would you need to use?
Answer:
42 ounces of flour
Step-by-step explanation:
8 - 48
7 - x
When you cross multiply, you get:
8x = 7*48
8x = 336
x = 336/8
x = 42
Feel free to mark this as brainliest! :D
Consider the graph of f(x).
12
10
-6
- 4
120
2 4 6 8
Which statements are true about tthe function represented by the graph?
Select all that apply.
The y-interceptis (0.-2).
The x-interceptis (0,5).
The domain of the function is (-3.3)
The domain of the function is all real numbers.
Answer:
The domain of the function is all real numbers.
Step-by-step explanation:
The answer is not A because the y-axis is the vertical (straight up and down) axis, and it crosses of that at positive 5.
The answer is not B because the x-axis is the horizontal axis, and it crosses that at negative 2.
Don't let them confuse you by saying the intercepts of one is the other!
It is also not C because the answer is D, we know this because the arrows at each end of the arrow signify that the line keeps going infinitely in each direction.
Hope this helps!