Answer:
640 bagels
Rate: 40bagels/hour
Step-by-step explanation:
If the baker's at a bakery can make 160 bagels in 4 hours, then;
160 bagels = 4 hours
To calculate the amount the baker can bake in 16hours, we can write;
x bagels = 16hours
Divide both expressions
160/x = 4/16
160/x = 1/4
Cross multiply
x* 1= 160 * 4
x = 640
Hence the baker can bake 640 bagels in 16hours
To know the rate per hour, we can write;
x bagel = 1hr
Recall that; 160bagels = 4 hours
Cross multiply
x * 4 = 1 * 160
4x = 160
x = 160/4
x = 40
Hence the rate per hour is 40bagels/hour
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:
https://brainly.com/question/12158740
#SPJ2
What is the image of the point (-5,2) under a translation of a shift right three and down 4?
A. (-2,-2)
B. (-8,6)
C. (-9,5)
D. (-15,-8)
Answer:
A- (-2,-2)
Step-by-step explanation:
If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).
Hope this helped.
6Type the statement or reason the fits in each box. Write your answer as a list. For example: 1. Addition Property of Equality 2. X+5=y+5 3. Simplifying Choose from this word bank. - Subtraction Property of Equality - Division Property of Equality - Distributive Property of Equality - x + 1 = -4 - x = -5Immersive Reader (4 Points)
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Given
[tex]-x + 1 = -4[/tex]
[tex]-x = -5[/tex]
Required
State which property is used
The word that describes the operation is; subtraction property of equality.
This property states that:
if [tex]x = y[/tex] then
[tex]x - a = y - a[/tex]
So, for the given equation:
[tex]-x + 1 = -4[/tex]
When the subtraction property of equality is applied
[tex]-x + 1 - 1 = -4 - 1[/tex]
[tex]-x = -5[/tex]
So:
(a) Subtraction Property of Equality is correct
Pls help i will give brainliest
Answer:
4:120, 6:180, 8:240
each time it's 30 x the amount of bags, it's 30 pounds a bag
Step-by-step explanation:
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
which expression has the least value when x=100?
A.1/x
b.10/x
c.1-x
D 10-x
Answer:
C
Step-by-step explanation:
C will have the least value with -99.
A would be 1/100, which is 0.01, which is small, but larger than -99.
B would be 10/100, which is 0.1, which is larger than A.
C is 1-100, which equals -99.
D is 10-100, which equals -90. -99 is smaller than -90.
Answer:
c) 1 - x
Step-by-step explanation:
x = 100
a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]
answer ⇒ 0.01
b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]
answer ⇒ 0.10
c) 1 - x ⇒ 1 - 100
answer ⇒ -99
d) 10 - x ⇒ 10 - 100
answer ⇒ -90
I need help pls and thank you
Solving this system using substitution: 2x+6y=28/y=-5x
1. Find the value of x.
76°
(3x-1)
PLEASE HELP ,
show work
Step-by-step explanation:
Divide each term in 3x = 1 by 3
3x/3 = 1/3
cancel the common factor of 3
x = 1/3
decimal form
0.3
Marking brainliest!
In your own words, why does erosion mean?
Answer:
the process of being eroded by natural agents such as wind, water, ice, etc.
this process moves sediment or material from one place to another
Step-by-step explanation:
What is the radius of a cylinder with a volume of 60,750πcm3
and a height of 750cm
?
Answer:
60,000
Step-by-step explanation:
I may be wrong hope not.
The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books. The rest of the books in the order are math books how many books did the librarian order"
Answer:
180
or if your looking for math books then
48
Step-by-step explanation:
36+62=98
98+34=132
180-132=48
Answer:
180
Step-by-step explanation:
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
Answer:
The answer is 5f + 6g +12
Step-by-step explanation:
Answer:
5f + 6g +12
Step-by-step explanation:
Simplify the expression.
x+y=-3
X+Y=7
no solution?
Answer:
no solution
Step-by-step explanation:
x + y cannot be equal to both -3 and 7, so there is no solution.
[tex]3(6 + 7) [/tex]
Answer:
39
Step-by-step explanation:
3(6+7)
=18+21
=39
or
3(6+7)
=3(13)
=39
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
Need help will give brainlest please this practice test makes no sense need explanation
Answer:
D
Step-by-step explanation:
Well, I can tell the answer just by looking:
- The shape moved counterclockwise by one quadrant
- The shape got SMALLER
- Rotations go counterclockwise. So that's a 90 degree rotation.
- Shape gets smaller so it's dilated by a number less than 1. Dilate by 1/2
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
Area of a Parallelogram
Answer:
P=28
Step-by-step explanation:
a=bh
24= 12x
24 divided by 12=2
12 +2+12+2= 28
on Monday, 241 students went on a trip to the zoo. all 5 buses were filled and 6 students had to travel in cars. how many students were in each bus?
Answer: 47
Step-by-step explanation:
I just worked it out and checked my work with a calculator :)
HELP ASAP will give brainlist
Answer:
add the numbers first and divide to 3x
Pls help me with this.
What is 591x37+125-16
Instant brainliest to HXH fans, proof if you name the 6 most important characters and the full name of the show
Answer:
Leorio, Gon, Killua, Kurapika, Hisoka, and Ging
Step-by-step explanation
Answer:
It's 21976 Gon! >:3
well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3
Step-by-step explanation:
:3
32
Which set of values makes the inequality n > -5 true?
A
{-5, -5.5, -6}
B
{-5, -4.5, -3}
С
{-6,0,5}
D
{-6, -7,-8}
Answer:
B
Step-by-step explanation:
≥ means that it is greater than or equal to.
Any set that has all numbers over or equal to -5 would be correct, meaning that -5, -4.5, and -3 would be correct.
Hope this helps. Have a nice day.
Inequalities help us to compare two unequal expressions. The set of values makes the inequality n > -5 true is {-5, -4.5, -3}.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
As we need to find the values that will satisfy the inequality n≥-5, therefore, we need values that are greater than or equal to -5.
Hence, the set of values makes the inequality n > -5 true is {-5, -4.5, -3}.
Learn more about Inequality:
https://brainly.com/question/19491153
On a map, 1 inch equals 15 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Actual distance = distance on map x the scale:
3 inches x 15 miles per inch = 45 actual miles.
HELP!! ILL GIVE BRAINLIEST
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
Answer:x=90
Step-by-step explanation:
90
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
Please help.
Algebra.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
192
Step-by-step explanation:
8²+x²=16²
x=y
[tex]x = \sqrt{192} [/tex]
please help me solve this.
Answer:
X=7 X=-1
Step-by-step explanation:
4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.
(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those
X=7 X=1 equating those parenthesis to 0 gives you that