the circumference of a pizza is 44 inches find the radius of the pizza to the nearest tenth of a inch
Answer:
radius = 7
Step-by-step explanation:
Solve forn. (7^2)^4=n^8
Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7/n-(8/7)=0
Step by step solution :
STEP 1:
8
Simplify —
7
The equation at the end of step
1:
7 8
— - — = 0
n 7
STEP 2:
7
Simplify —
n
The equation at the end of step
2:
7 8
— - — = 0
n 7
STEP 3:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : n
The right denominator is : 7
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 0 1 1
Product of all
Prime Factors 1 7 7
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
n 1 0 1
Least Common Multiple:
7n
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Denominator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 7
Right_M = L.C.M / R_Deno = n
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 7 • 7
—————————————————— = —————
L.C.M 7n
R. Mult. • R. Num. 8 • n
—————————————————— = —————
L.C.M 7n
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7 • 7 - (8 • n) 49 - 8n
——————————————— = ———————
7n 7n
The equation at the end of step
3
:
49 - 8n
——————— = 0
7n
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.
Here's how:
49-8n
————— • 7n = 0 • 7n
7n
Now, on the left-hand side, the 7n cancels out the denominator, while, on the right-hand side, zero times anything is still zero.
The equation now takes the shape :
49-8n = 0
Solving a Single Variable Equation:
4.2 Solve : -8n+49 = 0
Subtract 49 from both sides of the equation :
-8n = -49
Multiply both sides of the equation by (-1) : 8n = 49
Divide both sides of the equation by 8:
n = 49/8 = 6.125
One solution was found :
n = 49/8 = 6.125
Step-by-step explanation:
hope this helps...
The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
What is an algebraic expression?"It is a mathematical statement which consists of variables and constants, and some algebraic operations."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
What is exponent?"It refers to the number of times a number is multiplied by itself.""For non-zero real numbers a, b, c, [tex](a^b)^c=a^{b\times c}[/tex]"For given question,
We have been given an equation [tex](7^2)^4=n^8[/tex]
Consider an algebraic expression on the left side of the above equation.
[tex](7^2)^4[/tex]
Using the properties of exponents we can write it as,
[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]
So, given equation becomes,
[tex]7^8=n^8[/tex]
Since power is same, base of above exponents is equal.
⇒ n = 7
Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
Learn more about the exponents here:
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find two numbers that have the given product and the given sum 36,16
Answer:
-2 and 18 is the answer
Step-by-step explanation:
Answer:
It differs by 4
16 - 12 = 4
4 = 4
Their product is 192
(16) (12) = 192
192 = 192
Step-by-step explanation: The sum of two numbers is 60 and their product is 576. Find the numbers. Let x and y are the two consecutive integers
The sum of two numbers is 60
x + y = 60 ---- (1)
Product of two numbers = 576
xy = 576
y = 576/x ----- (2)
Now we apply the value of x in (1)
x + (576/x) = 60
(x2 + 576) / x = 60
x2 + 576 = 60x
x2 - 60x + 576 = 0
(x - 12) (x - 48) = 0
x - 12 = 0
x = 12
If x = 12
y = 576 / 12
y = 48
x - 48 = 0
x = 48
If x = 48
y = 576 / 48
y = 12
So the required integers are 18 and The sum of two numbers is 60
48 + 18 = 60
60 = 60
The product is 576
48 (18) = 576
576 = 57648.
Two positive numbers differ by 4 and their product is 192. Find the numbers.
Let x and y be two positive numbers
It differs by 4
x - y = 4
x = 4 + y --- (1)
Their product is 192
xy = 192
y = 192/x --- (2)
By applying the value of y in (1), we get
x = 4 + (192/x)
x = (4x + 192)/x
x2 = 4x + 192
x2 - 4 x - 192 = 0
(x - 16) (x + 12) = 0
x - 16 = 0
x = 16
x + 12 = 0
x = -12
If x = 16
Then,
y = 192/16
y = 12
Since it is positive number we have to choose 16 for x.
three shirts cost $9.99. how much does it cost for 8 shirts
Answer:
26.64$
Step-by-step explanation:
cost of three shirts = $9.99
cost of one shirt = 9.99/3 =$ 3.33
cost of eight shirts = 3.33×8 =$ 26.64
I need help on this right now please help ASAP!!!
Answer:
C would be your answer
Step-by-step explanation:
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
On Tuesday 12 inches of snow fell to the ground. How many inches of snow fell per hour ?
Answer:
720)))
Step-by-step explanation:
please help me with this I will give you brainliest
Answer:
no it is not
Step-by-step explanation:
Let's use the Pythagorean theorem for this
a^2+b^2=c^2
60^2+63^2=88^2
3600+3969=7744
7569≠7744
This means that this triangle isn't a right triangle
Does this triangle have a hypotenuse about 39 feet long?
Answer:
yes it is exactly 39 ft long
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
using the Pythagorean theorem:
36² + 15² = c²
1296 + 225 = c²
1521 = c²
c = 39 ft
What angle has degrees over 180?
Right
Reflex
Straight
Acute
reflex angle is the answer
. Solve the inequality. q + 12 – 2(q – 22) > 0 q < 56 q < –32 q > –32 q > 56
Answer:
q < 56
Step-by-step explanation:
just follow the way I did it on rough sheet
Ffthgvhgvhgvhhgjhjhvjhguyyg
Answer:
c is the correct option of the question
Answer:
c) [tex]3^{9}[/tex]
Step-by-step explanation:
[tex]3^{5}[/tex] = 3 x 3 x 3 x 3 x 3
[tex]3^{4}[/tex] = 3 x 3 x 3 x 3
all together would be 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
which would be [tex]3^{9}[/tex]
A taxi hurries for 1 hour 54min with a constant speed of 93km and then for another 5 hours 15min with a constant speed of 72km. What distance did it go
Speed = 93km /h and 72km/h
Answer: The taxi went a distance of 554.7km
Step-by-step explanation:
Speed = Distance / Time
Distance covered in the first trip = Speed x Time
Time = 1 hour 54 min =1+0.9 hours =1.9hours
=93km / h x 1.9 hours =176.7km
Distance covered in the second trip = Speed x Time
Time = 5 hours 15min = 5+0.25hours =5.25hours
=72km / h x 5.25hours =378 km
Total distance =176.7km+378 km
=554.7km
can someone plsss help me
Answer:
The equation for charge is = current x times
very confusing help i dont understand
Answer:
12.8 servings
Step-by-step explanation:
[tex]1\frac{1}{4}[/tex] cups of milk is used to make 10 servings of a recipe.
If [tex]1\frac{1}{4}[/tex] cups or [tex]\frac{5}{4}[/tex] cups of milk is used to to make 1 serving.
Then 1 cup of milk will be required to make servings = [tex]\frac{1}{\frac{5}{4}}[/tex]
= [tex]\frac{4}{5}[/tex]
Since, 1 gallon = 16 cups
Therefore, 16 cups of milk will be required for servings = [tex]\frac{4}{5}\times 16[/tex]
= 12.8 servings
Maggie tosses a coin off of a bridge into a stream below. The distance the coin is above the water is modeled by the equation below, where x represents time in seconds. What is a reasonable range for the function?
y= -16x^2+96x+112
Answer:
do 112 - 16x
Step-by-step explanation:
helpp pleaseee asap!!
Answer:
30 and 5 left over
Step-by-step explanation:
185/6=30.83333333
30x6=180
185-180=5 left
Okay, so Grayson only has 6 hours to read 240 pages before school tomorrow. If he reads at a constant speed of 35 pages per hour, will he have enough time to finish his reading homework before school? why or why not? Explain
Answer:
NO:For him to finish within 6hrs he need to read 40 pages per hour,but if he read 35 pages per hour,after 6 hrs he will be less 30 pages.
Which of the following is a characteristic of all parallelograms?
A.
There are 4 right angles.
B.
Consecutive angles are congruent.
C.
Both pairs of opposite sides are congruent.
D.
The diagonals are perpendicular.
A characteristic of all parallelograms is both pairs of opposite sides are congruent.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.
What are the properties of parallelogram?The opposites sides of a parallelogram are parallel.The opposite sides of a parallelogram are equal. The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other. Same-side interior angles supplement each other.The diagonals divide the parallelogram into two congruent triangles.According to the question
The characteristic of all parallelogram is having opposite side equal and parallel (or congruent )
Hence, a characteristic of all parallelograms is both pairs of opposite sides are congruent.
To know more about parallelograms here:
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Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each ticket costs 15 dollars. (write an equation)
Answer:
5 * w = 15
w= 3
Hope this helps!
Answer:
5•15=w
(Is this subtracting from the total?)
was there more to this question that you didn’t include?
Answer the following question
Step-by-step explanation:
the answer is 4.8 hope it helps
what is the GCF of 360 &600
Answer:
120
Step-by-step explanation:
betwenn 360 & 600, 120 is the greatest common factor
Tony Stark earns 8% commission for every repulsor he sells. How much commission would Mr. Stark make on sales of $32,000,000?
Solve for x. Round your answer to the nearest tenth. (one decimal place)
x=??
Answer:
12.208
Step-by-step explanation:
the answer is
X=12.2
A doggy daycare takes care of 25 dogs on Friday. But on Saturday 3 more dogs join the group. What percent increase was that?
Answer:
12%
Step-by-step explanation:
do 3 divided by 25 and you will get the percentage.
3/25 = 0.12 move the decimal over 2 plaves and boom you got it
Please solve this for me
Answer:
Step-by-step explanation:
F
There are three pieces of mail in Ms. Thomas's mailbox a bill from the phone company for $36.12, a bill from the
electric company for $67.35, and a tax refund check for $25.09. (A bill is money that you owe, and a tax refund
check is money that you receive
Answer:
What is the rest of the question?
Step-by-step explanation:
Please help as soon as possible
Answer:
3.5 grams
Step-by-step explanation:
just divide the number of peanuts by the number of raisins, 14/4=3.5, 21/6=3.5, 35/10=3.5
Answer:
3.5 for all
Step-by-step explanation:
divide the grams of peanuts by the grams of raisins
find the solutions for w
Does anyone know this answer??
Answer:
Option B is your answer ☺️☺️☺️
