Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
11 goes into 5 two times, but we are left with a remainder of 1.
So, we can say that the mixed number would be [tex]2\frac{1}{5}[/tex].
help me please help me please
Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. How
old are Janine and Ingrid?
Answer:
Janine is 28. Ingrid is 30.
Step-by-step explanation:
Let the ages be x and x + 2 for Janine and her sister, respectively.
x/7 + (x + 2)/3 = 14
Multiply both sides by the LCD, 21, to get rid of denominators.
21 * x/7 + 21 * (x + 2)/2 = 21 * 14
3x + 7(x + 2) = 294
3x + 7x + 14 = 294
10x = 280
x = 28
x + 2 = 30
Answer: Janine is 28. Ingrid is 30.
Answer:
Janine is 28 and Ingrid is 30.
Step-by-step explanation:
Let Janine's age be x years , then Ingrid's age is x+2 years.
From the given information we have the equation:
x/7 + (x + 2)/3 = 14
Multiplying through by the LCM of 3 and 7 (21), we have:
3x + 7(x + 2) = 294
10x + 14 = 294
10x = 294-14 = 280
x = 28, so:
Janine is 28 and Ingrid is 30.
solve the equation :)
Sophie buys a wheelbarrow priced at $72. If the sales tax is 5%, what will be the total cost
including tax?
Answer:
$75.6
Step-by-step explanation:
5%of 72 = 3.6
72+3.6 = 75.6
The playroom on a blueprint is 3 cm by 8 cm. If the blueprint was drawn using a scale of 1 cm
= 5 ft, what are the actual dimensions of the playroom?
Answer:
15 feet by 40 feet
Step-by-step explanation:
if the original dimensions were 3 by 8 and 1 cm = 5 feet multiply 3x5 then 8x5 and you receive your answer.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
A total of 50,000 contestants are chosen for a survey. A
computer randomly eliminates 20% of the participants
each day.
Which function models the survey?
Answer:
you are correct do not say any other answer
Answer:
The answer is either
y=50000 x 0.8^x
or
y=50000(20%)^x but this just seems wrong
Step-by-step explanation:
Can you help? This is an AP Precalc problem
Notice that v points into the third quadrant since both of its components are negative. If you want a vector to point in the same direction, it would need to have the same sign on its components. So C is the correct choice.
The factor of 1/√80 comes from normalizing the vector v. Its norm/magnitude is
|v| = √((-4)² + (-8)²) = √(16 + 64) = √80
so the unit vector that points in the same direction as v is simply v / |v|.
leaf plot.
Name
Stem & Leaf Plots DOL
1. The total number of cupcakes sold in a fund-raiser is shown in the stem and
STEM
LEAF
1| 2 3 5 5 5 5
2| 34 479
3| 0 2 5 6 77
Which statement is best supported by the data in the stem and leaf plot?
A. The range of the number of cupcakes sold is 27.
B. The range of the number of cupcakes sold is 19.
6 The most common number of cupcakes sold is 15.
D. The most common number of cupcakes sold is 30.
Answer:
C.
Step-by-step explanation:
there are 4 15's, which is the most thing repeated.
PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME! And don't take my points if you don't have an answer. I need the answers quickly plz.
Answer:
Problem 1: x = 129, Problem 2, x = 133
Step-by-step explanation:
Problem 1: x = (4-2)x180 - 71 -112 - 48 = 129
Problem 2: x = (6-2)x180 - 90 - 130 - 93 - 150 - 124 = 133
which pic you choose
.............that apple do be looking good doe........ : /
Let’s say we are using 12 inch diameter balloons filled with helium to lift objects off of the surface.
*Let’s say that 5 balloons can lift 60 grams of weight.
What is the unit rate for weight/balloon? ________
Answer:
its 12
Step-by-step explanation:
If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following statements is true?
Answer:
it should be a
Step-by-step explanation:
if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money
.necesito resolver estas operaciones con factorial ayuda por favor
- A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
2. (6ǃ-4ǃ)/2ǃ
2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
R = 10ǃx8ǃ/(6ǃ+5ǃ)
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Answer:
A. 4
B. 348
C. 2
D. 174182400
E. x = 2
Step-by-step explanation:
Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
B = (6ǃ-4ǃ)/2ǃ
C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
D = 10ǃx8ǃ/(6ǃ+5ǃ)
E - ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Proof -
A.
(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]
= 2! [ 4×3 + 1 + 3] / 2! [3 + 1]
= [12 + 1 + 3] / [4]
= [16] / [4] = 4
⇒(4! + 2! + 3! )/ (3! + 2!) = 4
B.
(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!
= 4! [6×5 - 1] / 2!
= 4×3×2! [ 30 - 1] / 2!
= 12 [29] = 348
⇒(6ǃ-4ǃ)/2ǃ = 348
C.
2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]
= 2!×3!×4! / 4! [ 5 + 1]
= (2×1) × (3×2×1) / 6
= 12 / 6 = 2
⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2
D.
10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]
= (10×9×8×7×6×5×4×3×2×1) ×(8×6)
= 174182400
⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400
E.
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!
[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)! [ (x+4)+ 1] = 6!
[(x+5)(x+4)(x+3)! / ( [ x+ 5 ] = 6!
(x+4)(x+3)! = 6!
(x+4)! = 6!
x+ 4 = 6
x = 6 - 4
x = 2
Note :
x! = x(x-1)(x-2).......(4)(3)(2)(1)
Simplify
(3x^2y^3/z^3)^3
Answer:
27x^6 y^9
z^9
Step-by-step explanation:
That should be the answer,if not...sorry!:)
solve the simultaneous equation plz x
Answer:
x=4,y=3
Step-by-step explanation:
x=19-5y if we transpose equation 2 for x.
Plug that into equation 1
4(19-5y)+3y=25
76-20y+3y=25
76-25=17y
51=17y
y=3
Plug y=3 into equation 2
x+5(3)=19
x=19-15=4
We are having two equations,
4x + 3y = 25 (Equation No 1)x + 5y = 19 (Equation No 2)★ From Equation No 2 :-
>> x + 5y = 19
>> x = 19 - 5y
★ From Equation No 1 :-
Substitute here the value of x which we got above as (19 - 5y).
>> 4x + 3y = 25
>> 4 (19 - 5y) + 3y = 25
>> 4 × (19 - 5y) + 3y = 25
>> 76 - 20y + 3y = 25
>> 76 - 17y = 25
>> -17y = 25 - 76
>> -17y = -51
>> 17y = 51
>> y = 51 / 17
>> y = 3
★ Finding out value of x :-
>> x = 19 - 5y
>> x = 19 - 5(3)
>> x = 19 - 5 × (3)
>> x = 19 - 15
>> x = 4
What is the data range of the data below 625, 638, 619, 677, 638, 659
Answer:
58
Step-by-step explanation:
The range is the difference between the highest and the lowest numbers in the number set.
The highest number in this set is 677 and the lowest number is 619.
677 - 619 = 58
6th grade math easy helpp
Answer: 18 degrees
Step-by-step explanation:
If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is
10hours:12 degrees
to find hours divide both sides by 2 and multiply by 3 to get
15hours: 18 degrees
is x+y=3 and x+y=7 a one solution, no solution, or an infinitely many solution
Answer:
No solution
Step-by-step explanation:
The lines are parallel because they have the same slope.
Elimination method also just gives you 3 = 7 which is not true, therefore no solutions.
Find the value of X......
Answer:
720 = x +133+138+148+95+105
x = 101
Solve for x'if3 - 2x 35-*.
Answer:
-16..
Step-by-step explanation:
the question is not clear
if someone was on a diet from march to july. his mass in march was 95.2kg and in july 88.7kg. what is the percentage change in mass?
Answer:
6.82%(or -6.82%, it depends)
Step-by-step explanation:
95.2-88.7=6.5
6.5/95.2=6.82%
Drag the vertices of the triangle below to draw a right triangle with side lengths 10, 24, and 26.
16
15
Answer:
15 ? :)
Step-by-step explanation:
Please help me ASAP.
Answer:
I believe the answer is D
Step-by-step explanation:
I need help on this question I got 145.13 but i dont know what I did wrong
Answer:
145.12
Step-by-step explanation:
3.14 * 16 / 2 + 120
I basically got the same answer
hii please help i’ll give brainliest!!
Answer:
your answer should be C.
2x + 6
96
solve for x using an algebraic equation
Answer:
v
Step-by-step explanation:
4. Katy sells new video games at a gaming store. Katy gets a bonus if she sells more than 60 video games. If 8 people each buy 7 video games, how many more video games does Katy need to sell to get her bonus? Show your work
Mr. Jamison wants to borrow $375,000 to
open a Pizza Shack franchise. If he can
pay $28,125 a year in interest, what
interest rate can he afford to pay on his
| loan? (Write your answer as a percent.)
Answer: The interest rate can he afford to pay on his | loan =7.5%
Step-by-step explanation:
Given: Principal amount = 375,000
Interest amount per year = $28,125
Interest percentage = [tex]\dfrac{\text{Interest}}{\text{Principal}}\times100\%[/tex]
[tex]=\dfrac{28125}{375000}\times100\%\\\\=7.5\%[/tex]
Hence, The interest rate can he afford to pay on his | loan =7.5%
Please help and right the real answer
Answer:
(-6,-3) would be the answer