Answer:
m = x+y-z
Step-by-step explanation:
Given the expression.
(a^x a ^y) ÷ a^z = a^m
We are to express m in terms of x, y and z.
Using the multiplicative law of indices, the expression becomes:
a^{x+y} ÷ a^z = a^m
Applying the division rule in indices
a^{x+y} ÷ a^z = a^{x+y-z}
The equation becomes
a^{x+y-z} = a^m
Cancel out the base and equate the powers as shown:
x+y-z = m
Hence the expression of m in terms of x, y and z is m = x+y-z
Ooooooooommkkekekeekkkekekeeekkeek leplelelellle
Step-by-step explanation:
Ooooooooommkkekekeekkkekekeeekkeek leplelelellle to u too
What is the answer to (8y -6
Answer:
Step-by-step explanation:
Incomplete presentation of question. Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)? Or something else? Also: please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .
please I need this done
write the fraction 32/40 in simplest form
Answer:
4/5
Step-by-step explanation:
32/8=4
40/8=5
4/5
What is the value of x in the equation 6(x +11)= -300?
Answer:
-61
Step-by-step explanation:
We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.
Can someone help me ASAP, please and ty! What is “ 3x^2 added to 6x^2” simplifed to?
Answer 9x^2
Step-by-step explanation:
3x^2+6x^2=9x^2
Answer:
9x^2
Step-by-step explanation:
3x^2 + 6x^2
9x^2
You do not multiply exponets, they stay the same.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Elaisha has her grandmother's amazing cooking recipes. She earns money by baking cupcakes for a local bakery. She gets $15 for each dozen cupcakes. If Elaisha does 8 dozen cupcakes in one week, how much will Elaisha earn?
Answer:
$120
Step-by-step explanation:
If she gets $15 per dozen, and if she does 8 dozens, we need to multiply 15 by 8. When we do this, we get 120. This means Elaisha earns $120.
Answer:
120 a week
Step-by-step explanation:
$15 times 8 dozen
Plsss help meee :)))
Answer:
6*(-5)
Step-by-step explanation:
Answer:
6 times -5
Step-by-step explanation:
Jennifer spends 1/4 of the day at school then 3/4 with her friends how much time does she do in a day
How long will it take a plane to fly 183 miles at 122 miles per hour
Answer:
Total time = 1.5 hours
Step-by-step explanation:
Given:
Total distance = 183 miles
Speed = 122 miles per hour
Find:
Total time
Computation:
Total time = Total distance / Speed
Total time = 183 / 122
Total time = 1.5 hours
The number 7.2 can be classified as:
a. real and rational
b. real and irrational
c. real and integer
d. real and whole
Need Help please!!!!!!!!
-28-4p=-4(p+7) please answer
Evaluate −6 − (−2). (1 point)
A.−4
B.−8
C.4
D.12
Answer:
A. -4
Step-by-step explanation:
−6 − (−2) = -6 + 2
= -4
Hope this helped :)
if a person walks 1/2 mile in 1/4 hour, how far does that person walk in 1 3/4 hours at that rate?
Answer:
3 1/2 miles
Step-by-step explanation:
We can use a ratio to solve
1/2 mile x miles
----------------= ---------------
1/4 hour 1 3/4 hours
Changing to improper fractions
1/2 mile x miles
----------------= ---------------
1/4 hour 7/4 hours
Using cross products
1/2 * 7/4 = 1/4x
7/8 = 1/4x
Multiply each side by 4
7/2 = x
Changing back to a mixed number
3 1/2 =x
Which is the formula for finding the sum of the interior angles of a polygon?
A. 180° (n – 1), where n is the number of sides
B. 90° (n – 2), where n is the number of sides
C. 90° (n – 1), where n is the number of sides
D. 180° (n – 2), where n is the number of sides
Answer:
The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.
Step-by-step explanation:
Answer:
(n-2)x 180 degrees
Step-by-step explanation:
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches
Answer:
7
Step-by-step explanation:
The greatest possible whole-number length of the unknown side is 9 inches, option fourth is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
As we know, in the triangle, the sum of the two sides is equal and greater than the third side.
Mathematically,
x + y ≥ z
Here x, y, and z are the sides of the triangle.
12 + 14 ≥ x
x ≤ 26
The greatest possible whole-number length of the unknown side is 9 inches.
Thus, the greatest possible whole-number length of the unknown side is 9 inches, option fourth is correct.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
An international company has 21,900 employees in one country. If this represents 27.2% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
21,900 / 0.272 = 80,514.7
Rent-A-Car rents compact cars for a fixed amount per day plus a fixed amount of each mile driven. Ben rented a car for 6 days, drove it 550 miles, and spent $337. Lisa rented the same car for 3 days, drove it 350 miles, and spent $185. What is the charge per day and per mile to rent that car?
Answer:
$36 per day plus $0.22 per mile
Step-by-step explanation:
For Ben,
Total miles driven = 550 miles
Number of days = 6 days
Total cost = $337
For Lisa
Total miles driven = 350 miles
Number of days = 3 days
Total cost = $185
Solving Simultaneously;
6d + 550m = 337
3d + 350 m = 185
Multiply equation 2 by 2 we have
6d + 550m = 337 ----1
6d + 700m = 370------2
So;
Subtracting equation 1 from equation 2
150m = 33
m = 33/150
m = $0.22
Substitute m=0.22 into equation 1
6d + 550(0.22) = 337
6d + 121 = 337
6d = 337 - 121
6d = 216
d = 216/6
d = $36
Hence the charge is $36 per day plus $0.22 per mile
4(−5z+2)+(−6) using distributive property
Answer:
Step-by-step explanation:
-20z+8+(-6)
-20z+2
Answer:
it is (-20z+8)+(-24)
Step-by-step explanation:
the operation that is done here is multiplication. so, now you can just multiply each term, -5z times 4, 2 times 4, -6 times 4.
-5z times 4: -20z
2 times 4: 8
-6 times 4: -24
Sahak pays 11% sales tax on a trumpet that costs 750 dollars. How much does the sales tax add to the purchase price? Answer Choices: $834.25, $ 105.50, $82.50, $75.00
Answer:
82.5
Step-by-step explanation:
750 x .11= 82.5
Somebody pls help me!!!
=====================================================
Explanation:
The similar red marks on the angles tell us those angles are congruent. So they are the same measure.
The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.
--------------
Solve for x
AC = BC
5x-8 = 2x+7 .... substitution
5x-8-2x = 7 ... subtract 2x from both sides
5x-2x = 7+8 ..... add 8 to both sides
3x = 15
x = 15/3 ... divide both sides by 3
x = 5
---------------
Use that x value to compute each side length
AB = 3x+11 = 3*5+11 = 15+11 = 26
BC = 2x+7 = 2*5+7 = 10+7 = 17
CA = 5x-8 = 5*5-8 = 25-8 = 17
Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.
----------------
The last step is to add up all the side lengths to get the perimeter
perimeter of triangle = sum of all the sides
perimeter of triangle = side1 + side2 + side3
perimeter of triangle ABC = AB + BC + CA
perimeter of triangle ABC = 26 + 17 + 17
perimeter of triangle ABC = 60 units
Answer:
Step-by-step explanation:
Remark
The sides opposite the 2 base angles are equal. That gives you x. Then all you have to do is substitute in the 3 binomials.
Equation
5x - 8 = 2x + 7 Add 8 to both sides
Solution
5x - 8 + 8 = 2x + 7 + 8 Combine
5x = 2x + 15 Subtract 2x from both sides
5x-2x = 2x-2x + 15 Combine
3x = 15 Divide by 3
x = 5
Side length
5x - 8 = 5*5 - 8 = 25 - 8
5x - 8 = 17
3x + 11 = 3*5 + 11 = 15 + 11 = 26
Perimeter
17
17
26 Add
Perimeter = 60
I need help for the 5th time
Answer:
3.2t - 2.4
Step-by-step explanation:
Given
- 3.6 - 1.9t + 1.2 + 5.1t ← collect like terms
= (- 1.9t + 5.1t) + (- 3.6 + 1.2)
= 3.2t + (- 2.4)
= 3.2t - 2.4
10.187 electric poles were fixed along a road at a regular interval of 20m. What was the total
distance fixed with the poles in km?
Answer:
203.74
Step-by-step explanation:
10.187x20=203.74m
203.74 = 0.20374 kilometres
there are 88 girls and 96 boys in the sixth-grade what is the rate of girls to boys
A- 88 girls for every 96 boys
B- i girl for every 1.09 boys
C- 44 girls for every 48 boys
D- 11 girls for every 12 boys
Answer:
There are 11 Girls for every 12 Boys in the sixth-grade class
Step-by-step explanation:
For this problem, you want to take the original rate which is 88 girls / 96 boys.
Once you have that number, you want to divide both sides by 8.
88/96 = 11/12
The correct option is D. 11 girls for every 12 boys.
We need to determine the ratio of the number of girls to the number of boys.
Given:
Number of girls = 88
Number of boys = 96
The ratio of girls to boys can be represented as "girls : boys."
To simplify the ratio, we can divide both the number of girls and the number of boys by their greatest common divisor (GCD). In this case, the GCD of 88 and 96 is 8.
Dividing both numbers by 8, we get:
Number of girls (after dividing) = 88 ÷ 8 = 11
Number of boys (after dividing) = 96 ÷ 8 = 12
So, the simplified ratio of girls to boys is 11 : 12.
Now, let's check which option matches the simplified ratio:
A. 88 girls for every 96 boys (Does not match)
B. 1 girl for every 1.09 boys (Does not match)
C. 44 girls for every 48 boys (Does not match)
D. 11 girls for every 12 boys (Matches)
The correct option is D. 11 girls for every 12 boys.
Learn more about Ratios here:
https://brainly.com/question/32531170?
#SPJ2
I need help thank you.
Answer:
x ≤ 1
Step-by-step explanation:
The graph goes in the left direction, meaning the inequality needs to be less than.
The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.
Answer:
B
Step-by-step explanation:
x ≤ 1
As thee circle at 1 is filled,you have to include 1 also
Audrey wants to ride her bicycle 44 miles this week. She has already ridden 12 miles. If she rides for 5 more days, write and solve an equation which can be used to determine x, the average number of miles she would have to ride each day to meet
her goal.
Answer:
4
Step-by-step explanation:
if csc Ф = 4/3, what is the value of sin Ф
Answer:
sinθ = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Using the trigonometric identity
sin x = [tex]\frac{1}{cscx}[/tex] , then
sin
θ = [tex]\frac{1}{\frac{4}{3} }[/tex] = [tex]\frac{3}{4}[/tex]
Archie Baines
Arthur is organising his collection
of DVDs. He has 56 altogether.
The ratio of comedy films to
action to horror is 2 : 7:5
Step-by-step explanation:
x - is the amount of DVDs
so 2x + 5x + 7x = 56
14x = 56
x = 4
so comedy is 2x4 = 8; action 7x4 = 28 and horror is 5x4 = 20 DVDs
please help me out! express the inequality using interval notation
Answer:
(7, ∞)
Step-by-step explanation:
Because x does not equal 7 as well, brackets won't be used here.
Because x can be any number greater than 7, this means the domain includes positive ∞.