Answer:
The first offer: 100.80 for 4kg
Step-by-step explanation:
To find the best offer, we just need to find the price per kilogram, and we do this by dividing the price by the number of kg:
100.80 for 4kg: 100.8/4 = 25.2 per kg
170.50 for 5kg: 170.5/5 = 34.1 per kg
260.60 for 6kg: 260.6/6 = 43.43 per kg
320.40 for 7kg: 320.4/7 = 45.77 per kg
The first offer has the smaller price per kg, so it is the best offer.
Patrick and his brother each start a savings account. Patrick begins with $200
and plans to deposit an additional $25 per month. His brother begins with
$150 and plans to deposit an additional $35 per month. After how many
months will the two brothers have the same amount in their accounts?
Answer:
Both brothers will have the same amount of money is their saving accounts after six months.
Step-by-step explanation:
I worked this out by finding out the first 8 months of savings for both brothers:
Patrick: His brother:
200 150
225 185
250 220
275 253
300 290
325 325
375 360
400 395
I then looked across my results to see that at 6 months both brothers had $325.
Hope this helped.
If the gradient of a line,C, is 2/3, what is the gradient of a line which perpendicular to C
The gradient of a line which perpendicular to C is -3/2
How to determine the gradientThe gradient of a line shows how steep it is. Gradient is also called the slope of a line.
Let's use the fact that the product of the gradients of two perpendicular lines is -1 to determine the gradient of a line perpendicular to line C.
We can determine the gradient of the line perpendicular to C if the gradient of line C is 2/3.
Take the negative reciprocal of the gradient, we have;
-3/2
Since the negative reciprocal of 2/3 is -3/2.
Therefore, the gradient of the line perpendicular to C is -3/2.
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the first and third terms in the following Fibonacci sequence are x and y.
Write down algebraic expressions for the second, fourth and fifths terms.
plz reply ASAP
Answer:
The second term of the sequence is y-xThe fourth term of the sequence is 2y-xThe fifth term of the sequence is 3y-xStep-by-step explanation:
The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y
x, _, y...
let the second term be a, fourth term be b and fifth term be c to have the sequence;
x, a, y, b, c...
According to the definition;
x+a = y... 1
a+y = b... 2 and;
y+b = c... 3
From equation 1, a = y-x
Substituting a = y-x into equation 2 to get b we have;
(y-x)+y = b
2y-x = b
b = 2y-x
Substituting b = 2y-x into equation 3 to get 'c'
y + 2y-x = c
3y-x = c
c = 3y-x
The second term of the sequence is y-x
The fourth term of the sequence is 2y-x
The fifth term of the sequence is 3y-x
If A = 3x² + 5x - 6 and B --2x2 - 6x + 7, then A - B equals?
Answer:
x^2 + 11x - 13
Step-by-step explanation:
A = 3x^2 + 5x - 6
B = 2x^2 - 6x + 7
=> A - B = (3x^2 + 5x - 6) - (2x^2 - 6x + 7)
= (3x^2 - 2x^2) + (5x + 6x) - (6 + 7)
= x^2 + 11x - 13
I hope this helps!
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total
Answer:
She made [tex]18\frac{1}{15}[/tex] cups of lemonade in total.
Step-by-step explanation:
A fraction contains a numerator(upper value) and denominator(lower value). The total cup of lemonade that Beatrice made is 25 1/3.
What are proper and improper fractions and how do convert mixed fractions to simple fractions?A fraction contains a numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction.
A proper fraction is also called a fraction which is less than 1.And an improper fraction is ≥ 1A mixed fraction contains a sum of a whole number and a proper fraction.A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that Beatrice made lemonade twice, first, she made 7 2/3 cups of lemonade and in the second turn, she made 10 3/5 more cups of lemonade. Therefore, the total cups of lemonade that Beatrice made is,
Total cups of lemonade = 7 2/3 + 10 3/5
= 23/3 + 53/5
= (23×5 + 53×3)/(3×5)
= (115 + 265)/15
= 380/15
= 25 5/15
= 25 1/3
Hence, the total cup of lemonade that Beatrice made is 25 1/3.
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Which graph shows a proportional relationship
Answer:
b
Step-by-step explanation:
What is the result of substituting for y in the bottom equation?
y= x-7
y = x2 + 2x - 4
Answer:
x^2+x+3
Step-by-step explanation:
y=x-7
x-7=x^2+2x-4
x^2+2x-4-x+7
x^2+x+3
Answer: x-7=x^2+2x-4
A P E X
Step-by-step explanation:
but also, if you are wondering how I got to that answer, you substitute y in for the y equation. Since y=x-7 you’ll take that why and put in in the y in (y)=x^2+2x-4.
What are the slope and y-intercept of the line represented by
the points shown in the table?
Answer:
To find the y-intercept, graph the points, and draw a line that passes through them. the place that it passes the y-axis is the y-intercept. To find the slope, find two points on the line. Take the increase in the y-coordinate and divide it by the increase in the x-coordinate.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A figure is a regular n-gon. Which of the following
expressions represents the sum of the measures of
the exterior angles of the polygon, one at each
vertex?
A. (180 - 10°
360
B. 180
12
C. (n - 2)180°
D. 360°
Answer:
The correct answer is D. 360°
Step-by-step explanation:
The sum of all the exterior angles of a regular n-gon or a polygon is always equal to 360°.
Let us consider the image attached.
First of all let us consider the triangle.
As per the property of exterior angles: The exterior angle is equal to the sum of 2 opposite interior angles.
[tex]\Rightarrow \angle 1=\angle B + \angle C\\\Rightarrow \angle 2=\angle A + \angle C\\\Rightarrow \angle 3=\angle A + \angle B[/tex]
Where [tex]\angle A, \angle B\ and\ \angle C[/tex] are the interior angles of the triangle.
Adding the above equations:
[tex]\angle 1 +\angle 2 +\angle 3 = 2 \times (\angle A +\angle B +\angle C )[/tex]
The sum of interior angles of a triangle is always equal to 180°
[tex]\angle A +\angle B +\angle C = 180^\circ[/tex]
[tex]\angle 1 +\angle 2 +\angle 3 = 2 \times 180^\circ\\\Rightarrow \angle 1 +\angle 2 +\angle 3 = 360^\circ[/tex]
Hence, proved that the sum of exterior angles is [tex]360^\circ[/tex].
So, the correct answer is D. [tex]360^\circ[/tex]
De un total de 60 personas en una escuela , 36 han elegido el curso de computacion ¿que porcentaje represebtan
Answer:
the answer is 21.6%
Step-by-step explanation:
Please solve idk how to
Answer:
You have the right answer.
Step-by-step explanation:
The image might be blurry but its the best I can post.
That's solving it without the x and y values. Its still the answer you picked.
Hope this helps, have a good day! :)
(Brainliest would be appreciated?)
Answer:
5√xy
Step-by-step explanation:
√25x²y²/√xy= √25x²y²/xy= √25xy= 5√xy
Solve for h.
h–2–17≤–1
Answer:
h≤18
Step-by-step explanation:
Step 1 :
Solve Basic Inequality : 1.1
Add 18 to both sides h ≤ 18
Inequality Plot
Inequality plot for
h - 18.000 ≤ 0
Answer: h≤18
Hope this helps.
EASY question for y’all mathy people! Easy points, i’m just not a mathy person. question in photo.
Answer:
C
Step-by-step explanation:
This is a function because it is a standard quadratic equation, meaning it is a parabola that opens up so it passes the vertical line test.
Answer:
C
Step-by-step explanation:
It is a quadratic equation. This means it is a parabola that opens up so it does pass the vertical line quiz.
Find the product.
(n3)2 · (n5)4
Answer:
[tex]n^{26}[/tex]
Step-by-step explanation:
[tex]n^{3 \times 2} \times n^{5 \times 4}[/tex]
[tex]n^{6} \times n^{20}[/tex]
[tex]n^{6+20}[/tex]
[tex]n^{26}[/tex]
Answer:
N^26
Step-by-step explanation:
N ^3^2 = n^6
N^5^4 = n^20
Multiply. Use laws of exponents
N^6 x n^20 = n^20+6 = n^26
Hope this helps
If ABCD is dilated by a factor of , the
coordinate of D' would be:
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!
Answer:
(2,-1)
Step-by-step explanation:
Multiply the original coordinates by 1/3
I’m not very good at this kind of stuff.
Using the greatest common factor, reduce the fraction \frac{32}{48} 48 32 to its simplest form
Answer:
2/3
Step-by-step explanation:
32/48= 16*2/16*3= 2/3
.please answer this question i will mark it brainliest
Answer:
a = 20.79cm ( 2 decimal places)
Step-by-step explanation:
find the length of the identical sides (i name it "x") first using Pythagoras theorem
[tex]14.8^{2}[/tex] = [tex]x^{2} + x^{2}[/tex]
219.04 = [tex]2x^{2}[/tex]
[tex]x^{2}[/tex] = 219.04/2 = 109.52
x = [tex]\sqrt{109.52}[/tex]
now find a,
[tex]a^{2}[/tex] = [tex](\sqrt{109.52}) ^{2}[/tex] + [tex](7.5 + \sqrt{109.52}) ^{2}[/tex]
[tex]a^{2}[/tex] = 109.52 + 322.7477 = 432.2677
a = [tex]\sqrt{432.2677}[/tex] = 20.791048
Which point of below lie on the curve y=x^3 (1/3,1/9), (-1,1), (-2,-6), (-1/2,-1/8)
Answer:
(-1/2, -1/8)
Step-by-step explanation:
I graphed it and (-1/2, -1/8) is the only point that lands on the graph.
Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mile head start on Arnob. The graph shows how far they have both traveled. A coordinate grid labeled Distances Traveled with Time in minutes along the horizontal x-axis and Distance in miles along the vertical y-axis with 2 lines. The first line is labeled y equals (StartFraction 1 over 15 EndFraction) x plus 5 and passes through (0, 5) and (60, 9). The second line is labeled y equals (StartFraction 2 over 15 EndFraction) x. The lines appear to intersect at between 70 and 80 along the x-axis and 10 on the y-axis. How many minutes does it take Arnob to catch up to Kathleen? 9.8 10 73.5 75
Answer:
75
Step-by-step explanation:
It's D on edg
The number of minutes it take Arnob to catch up to Kathleen is 75 minutes.
Number of minutesGiven:
Mile head start=5 mile
Distance along y-axis=2 lines
Hence:
y=1/15x+5
=y=2/15x
So,
1/15x+5=2/15x
1/15x=5
x=75 minutes
The correct option is D.
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What is the value of x for the point with a y-value of 6?
find f(-3) if f(x) = x^2
Answer:
=
−
1
2
×
3
2
=
1
×
9
=
9
Step-by-step explanation:
f
(
−
3
)
=
9
Explanation:
f
(
x
)
=
x
2
To find f(-3) replace
x
in the function by
−
3
Therefore:
f
(
−
3
)
=
(
−
3
)
2
=
−
1
2
×
3
2
=
1
×
9
=
9
Answer:
9
Step-by-step explanation:
f(x) = x²
f(-3) =(-3)² = (-3)*(-3) = 9
1. A rectangular swimming pool measures 12 cm by 15 cm. What is the area of the pool?
2. A rectangular container of volume 123 cm cube is one-third full of water. What is the volume of water?
1) 180 square cm
Answer:
2) 41 cubic cm
Step-by-step explanation:
1)
Area of pool = 12 * 15 = 180 square cm
2) Volume of water = 1/3 * Volume of pool
= 1/3 *123
= 41 cubic cm
What is the area of a parallelogram when the height is 10 and the base is 15
Answer:
150
Step-by-step explanation:
A=bh
A=15×10
A=150
Answer:
150
Step-by-step explanation:
it is just like finding the area of a rectangle! 10*15=150
The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = r equals StartFraction C Over 2 pi EndFraction..
Find the radius of a circle that has a circumference of 16.
r = 4
r = 8
r = 12
r = 16
Answer:
r=8
Step-by-step explanation:
Because 16 divided by 2 is 8
The radius of a circle has a circumference of 16 at r = 8.
What is the radius of a circle?Given: the formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference.
The circumference of a circle is equal to π.
π ≈ 3.14
multiplied by the diameter of the circle.
Therefore, the diameter has twice the length of the radius.
In equation form:
2r = d.
2r = 16.
r = 8.
Note, 2r = d,
Then, the equation C = 2πr holds and can be used in place of C = πd.
The radius of a circle has a circumference of 16 at r = 8.
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Somone I need help with this? Number 7
Answer:
Shape
Step-by-step explanation:
Shape because if you make the boat the right shape, it has a better chance of floating.
For f(x) = 4x+1 and g(x) = x^2-5 find (f+g)(x)
Answer:
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
= 4x + 1 + x² - 5
= x² + 4x - 4
Answer:
x^2 +4x -4
Step-by-step explanation:
f(x) = 4x+1
g(x) = x^2-5
(f+g)(x) = 4x+1 + x^2 -5
Combine like terms
= x^2 +4x +1-5
=x^2 +4x -4
Scenario: Mike is buying a large pizza. The pizza
costs $8.00 plus $0.50 for each additional topping.
Identify the y-intercept and slope.
y-intercept:
Slope:
1.56666666667 as a fraction? pls help asap
to do this all you have to do is make the denominator 1 and the numerator should be 1.566666667
Find the area of the shape shown below.
9 3 3
Answer:
The answer would be 18
Step-by-step explanation:
the formula for area of a triangle is 1/2b*h
so would mulitply 3*3 and get 9/2 which would be 4.5 do that on the otherside and you would get 4.5 again add together and you would get 9
for the square you would calculate the area by multplying b*h to get 9 so 9+9=18
