Answer:
This week's batch had the greater ratio of sugar to berries
Step-by-step explanation:
Last week's ratio was 2:18
This week's ratio was 4:30
Now, we can simplify both of these:
Divide last week's by 2:
1:9
Divide this week's by 2:
2:15
1:9 is equivalent to 0.11, and 2:15 is equivalent to 0.13
So, this week's batch had the greater ratio of sugar to berries
The batch with 4 cups of sugar and 30 cups of berries has a greater ratio of sugar to berries and is given by the proportion B = 4/30 = 0.1333
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion equation be represented as A and B
Now , for the last week's batch
Alec used 2 cups of sugar and 18 cups of berries
So , the ratio of sugar to berries is 2 : 18
The proportion is 2 / 18 = 0.1111
Now , for this week's batch
Alec used 4 cups of sugar and 30 cups of berries
So , the ratio of sugar to berries is 4 : 30
So , the proportion is 4 / 30 = 0.1333
Now , the proportion of 4 : 30 is greater than 2 : 18
Hence , this week's batch had a greater proportion
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15. Jim had 103 red and blue marbles. After giving of his blue marbles and 15 of his red marbles
to Samantha, Jim had as many red marbles as blue marbles. How many blue marbles did he
originally have?

This question above is incomplete
Complete Question
Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Answer:
70 Blue marbles
Step-by-step explanation:
Let red marbles = R
Blue marbles = B
Step 1
Jim had 103 red and blue marbles.
R + B = 103.......Equation 1
R = 103 - B
Step 2
After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles
2/5 of B to Samantha
Jim has = B - 2/5B = 3/5B left
He also gave 15 red marbles to Samantha
= R - 15
The ratio of what Jim has left
= Red: Blue
= 3:7
= 3/7
Hence,
R - 15/(3/5)B = 3/7
Cross Multiply
7(R - 15) = 3(3/5B)
7R - 105 = 3(3B/5)
7R - 105 = 9B/5
Cross Multiply
5(7R - 105) = 9B
35R - 525 = 9B............ Equation 2
From Equation 1, we substitute 103 - B for R in Equation 2
35(103 - B) - 525 = 9B
3605 - 35B - 525 = 9B
Collect like terms
3605 - 525 = 9B + 35B
3080 = 44B
B = 3080/44
B = 70
Therefore, Jim originally had 70 Blue marbles.
Match the parent function name with the equation. Linear Quadratic Radical Absolute Value Rational Exponential Log Cubic Cube Root
Step-by-step explanation: The correct graph is #6. Cubic Function
Consider the following. x = e4t, y = t + 7
Eliminate the parameter to find a Cartesian equation of the curve.
Answer:
y = 7 +ln(x)/4
Step-by-step explanation:
Maybe your parameterized equation is ...
(x, y) = (e^(4t), t +7)
Using t = y-7, we can substitute for t in the expression for x:
x = e^(4(y -7))
ln(x) = 4(y -7)
ln(x) +28 = 4y
y = 7 +ln(x)/4
solve for n: 2n+3=-3.2
Answer:
2n+3=3.2
2n=3.2-3
2n=0.2
n=0.2/2
n=0.1
The solution of the given equation for n will be -3.1.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given equation,
2n + 3 = -3.2
2n = -3.2 - 3
n = -6.2/2
n = -3.1
Hence "The solution of the given equation for n will be -3.1".
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A triangle has vertices at (−4,−6),(3,3),(7,2). Rounded to two decimal places, which of the following is the closest approximation of the perimeter of the triangle?
19.34
29.12
12.36
15.52
The answer is
29.12
hope this helps
Althea paid five dollars each for two bracelets and later sold each for $15. She paid eight dollars each for three bracelets and sold each of them for nine dollars. Write an expression that represents the profit Althea made.
Answer:
2(15 - 5) + 3(9 - 8)
Step-by-step explanation:
Profit for each $5 bracelet: 15 - 5
Profit for 2 $5 bracelets: 2(15 - 5)
Profit for each $8 bracelet: 9 - 8
Profit for 3 $8 bracelets: 3(9 - 8)
Total profit: 2(15 - 5) + 3(9 - 8)
Answer:
2(-5)+3(-8)+2(15)+3(9)=23
Step-by-step explanation:
For this expression, every time she payed for something we will use a negative number, and whenever she sold it we will use a positive number.
Lets start off with what she payed for, she bought two 5 dollar bracelets, and three 8 dollar bracelets.
2(-5)+3(-8)
Now we will see what she sold. She sold two bracelets for 15 dollars, and then sold three bracelets for 9 dollars.
2(15)+3(9)
Now we combine these to find out her profit.
2(-5)+3(-8)+2(15)+3(9)=23
Two cities, Ashville and Boulder, are 2.5 inches
apart on a map. A third city, Wellspring, is
located exactly halfway between Ashville
and Boulder. If the map uses a scale of 0.5
inch = 15 miles, find the actual distance from
Wellspring to Boulder.
Answer:
The distance between W and B is 18.75 mi.
Step-by-step explanation:
2.5 inches converts to
2.5 in 15 mi
------------ * ---------- = 37.5 mi
1 1 in
Half of this distances places us at the midpoint between W and B:
37.5 mi
--------------- = 18.75 mi
2
Use _________ to isolate the variable. A reciprocals B subtraction C an expression D inverse operations
For example, let's say we had the equation x+10 = 30
We are adding 10 onto some unknown number x to get 30. To find x, we undo what is happening to x, so we subtract 10 from both sides. Subtraction is the inverse operation of addition.
Answer:
d, i took the test i can confirm its correct lol
Step-by-step explanation:
Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?
X: 1,3,5
——————
G(X): 0,4,8
A)The function f(x) has a higher y-intercept
B)The function gx has a higher y intercept
C) They both have the same y intercept
D) The relationship between y intercepts cannot be determined
Answer: D) relationship between y intercepts cannot be determined
The graph of f(x) is a vertical line. It is completely parallel to the y axis, so it never crosses the y axis. We need the graph to cross the y axis somewhere in order to form a y intercept. Therefore f(x) does not have a y intercept. So we cannot compare y intercepts if f(x) doesn't have one at all.
Simplify using a calculaor. Not sure how to plug it in
Hi there! Hopefully this helps!
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Answer: 1000~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Calculate 10000 to the power of [tex]\frac{3}{4}[/tex].
[tex]\frac{3}{4} = 0.75[/tex]
[tex]10000^{0.75}= 1000[/tex].
Given the preimage: A(3, 2), B(3, 6), C(11, 6), D(11, 2). Translate down 4 units. What is B'?
Answer:
B' is (3,2)
Step-by-step explanation:
In the original B coordinate pair, 6 is the y-coordinate. When we talk about shifting images or points up or down, we will normally see a change in the y-coordinate. In this case, the image is being translated 4 units down, so subtract 4 from 6 to get 2 as your y-ccoordinate for B'. Since no horizontal shift is being made, the x-coordinate from the original B point stays the same and B' becomes (3,2).
Answer:
b is (3,2)
Step-by-step explanation:
ggchvvbggggghhh
0,01,9,12,18,3,27,4,36,5,45 Types of variable input variable (input variable) .
Answer:
please mark my answer brainliest
Step-by-step explanation:
these types of input variables are called integer...
Draw a square with side-length x. Write an expression that represents the perimeter.
Answer:
4x
Step-by-step explanation:
Length of square = x cm
Perimeter; p = 4 × length of square
p = 4x
Given the diagram below, Hannah writes m 1+ m 4 = 180°, m 2 + m 5 = 180°, and m 3+ m 26 = 180°. Which of the following reasons allows her to write these sums?
Answer:
A. Definition of linear pair
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. Since angle on a straight line = 180°, angles of a linear pair sum up to 180°.
angles 1 and 4, angles 2 and 5, angles 3 and 6 are all linear pairs. Each pair = 180°.
Answer:
a
Step-by-step explanation:
a pex
(8-8i)(2+i)= (simplified)
Answer:
24-8i
Step-by-step explanation:
(8-8i)(2+i)=8*2+8i-8i*2-8i^2=16+8i-16i-8*(-1)=16-8i+8=24-8i
Please help slove for AB.
Answer:
Based on triangles of angles: 45-45-90:
chord/2=(radius√2)/2
chord/2=(10√2)/2
chord/2=5√2
chord=10√2
Step-by-step explanation:
Hope it helps ;)
when the polynomial f(x)=2x^3+ax^2+b is divisible by (x+1) and that there is a remainder of 16 when it is divided by (x-3) find the values of a and b
Answer:
hjgyjgyjyjhhh
Step-by-step explanation:
ygjyjygyjjg
Explain how to perform a two-sample z-test for the difference between two population means using independent samples with
σ1 and σ2 known.
Answer:
Z= (X1`-X2`)- (u1-u2)/[tex]\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}[/tex] (here s1=σ1 and s2= σ2)
Step-by-step explanation:
Let X1` be the mean of the first random sample of size n1 from a normal population with a mean u1 and known standard deviation σ1.Let X2` be the mean of the second random sample of size n2 from another normal population with a mean u2 and known standard deviation σ2. Then the sampling distribution of the difference X1`-X2` is normally distributed with a mean of u1-u2 and a standard deviation of
[tex]\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}[/tex] . (here s1=σ1 and s2= σ2) In other words the variable
Z= (X1`-X2`)- (u1-u2)/[tex]\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}[/tex] (here s1=σ1 and s2= σ2)
is exactly standard normal no matter how small sample sizes are . Hence it is used as a test statistic for testing hypotheses about the difference between two population means.
The procedure is stated below.
1) Formulate the null and alternative hypotheses.
2) Decide on significance level ∝
3) Use the test statistic Z= (X1`-X2`)- (u1-u2)/[tex]\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}[/tex] (here s1=σ1 and s2= σ2)
4) Find the rejection region
5)Compute the value of Z from the sample data
6) Rehect H0 if Z falls in the critical region, accept H0 , otherwise.
last one anyone know it?
Answer:
6/(-2) = -3
Step-by-step explanation:
rule - when you divide positive number by a negative number then it is negatie so with the same rule applied it is
6/-2
-3
6 + (-2) means we start at 0 and go up 6 units to arrive at 6 on the number line. In terms of a building, you can think of starting on the ground floor and then going up 6 floors. Then adding on the -2 means we go down 2 floors to arrive at 6 + (-2) = 6-2 = 4
Answer: Choice B) go up 6, then down 2If the two solids shown have the same height and the same cross-sectional area at every level, then what is the radius of the oblique cylinder?
Answer:
8
Step-by-step explanation:
If the two solids have the same height and same cross-sectional area at every level, this means that the radius of the oblique cylinder is the same as the radius of the right cylinder.
Since the radius of the right cylinder is 16/2=8, this means that the radius of the oblique cylinder must also be 8.
Algebraically, the area of the cross-section is given by:
[tex]A=\pi r^2[/tex]
If the areas of them are the same:
[tex]A_{right}=A_{oblique}[/tex]
Then:
[tex]\pi r_{right}^2=\pi r_{oblique}^2\\r_{right}=r_{oblique}[/tex]
(20x^3-7x^2+3x-7)/-13x^2-5
Answer:
x = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (30 sqrt(1462809) + 36253)^(1/3)) + 7/60 or x = 7/60 - 1/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) (131 (-1)^(1/3) + (30 sqrt(1462809) + 36253)^(2/3)) or x = 1/60 (131 (-1/(36253 + 30 sqrt(1462809)))^(1/3) + (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)) + 7/60
see atachement it's more legible.
Step-by-step explanation:
Solve for x:
(20 x^3 - 7 x^2 + 3 x - 7)/(-13 x^2 - 5) = 0
Hint: | Multiply both sides by a polynomial to clear fractions.
Multiply both sides by -13 x^2 - 5:
20 x^3 - 7 x^2 + 3 x - 7 = 0
Hint: | Look for a simple substitution that eliminates the quadratic term of 20 x^3 - 7 x^2 + 3 x - 7.
Eliminate the quadratic term by substituting y = x - 7/60:
-7 + 3 (y + 7/60) - 7 (y + 7/60)^2 + 20 (y + 7/60)^3 = 0
Hint: | Write the cubic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
20 y^3 + (131 y)/60 - 36253/5400 = 0
Hint: | Write the cubic equation in standard form.
Divide both sides by 20:
y^3 + (131 y)/1200 - 36253/108000 = 0
Hint: | Perform the substitution y = z + λ/z.
Change coordinates by substituting y = z + λ/z, where λ is a constant value that will be determined later:
-36253/108000 + (131 (z + λ/z))/1200 + (z + λ/z)^3 = 0
Hint: | Transform the rational equation into a polynomial equation.
Multiply both sides by z^3 and collect in terms of z:
z^6 + z^4 (3 λ + 131/1200) - (36253 z^3)/108000 + z^2 (3 λ^2 + (131 λ)/1200) + λ^3 = 0
Hint: | Find an appropriate value for λ in order to make the coefficients of z^2 and z^4 both zero.
Substitute λ = -131/3600 and then u = z^3, yielding a quadratic equation in the variable u:
u^2 - (36253 u)/108000 - 2248091/46656000000 = 0
Hint: | Solve for u.
Find the positive solution to the quadratic equation:
u = (36253 + 30 sqrt(1462809))/216000
Hint: | Perform back substitution on u = (36253 + 30 sqrt(1462809))/216000.
Substitute back for u = z^3:
z^3 = (36253 + 30 sqrt(1462809))/216000
Hint: | Take the cube root of both sides.
Taking cube roots gives 1/60 (36253 + 30 sqrt(1462809))^(1/3) times the third roots of unity:
z = 1/60 (36253 + 30 sqrt(1462809))^(1/3) or z = -1/60 (-36253 - 30 sqrt(1462809))^(1/3) or z = 1/60 (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)
Hint: | Perform back substitution with y = z - 131/(3600 z).
Substitute each value of z into y = z - 131/(3600 z):
y = 1/60 (30 sqrt(1462809) + 36253)^(1/3) - 131/(60 (30 sqrt(1462809) + 36253)^(1/3)) or y = -1/60 (-30 sqrt(1462809) - 36253)^(1/3) - (131 (-1)^(2/3))/(60 (30 sqrt(1462809) + 36253)^(1/3)) or y = 131/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) + 1/60 (-1)^(2/3) (30 sqrt(1462809) + 36253)^(1/3)
Hint: | Simplify each solution.
Bring each solution to a common denominator and simplify:
y = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (36253 + 30 sqrt(1462809))^(1/3)) or y = -1/60 (-1/(36253 + 30 sqrt(1462809)))^(1/3) ((30 sqrt(1462809) + 36253)^(2/3) + 131 (-1)^(1/3)) or y = 1/60 (131 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) + (-1)^(2/3) (30 sqrt(1462809) + 36253)^(1/3))
Hint: | Perform back substitution on the three roots.
Substitute back for x = y + 7/60:
Answer: x = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (30 sqrt(1462809) + 36253)^(1/3)) + 7/60 or x = 7/60 - 1/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) (131 (-1)^(1/3) + (30 sqrt(1462809) + 36253)^(2/3)) or x = 1/60 (131 (-1/(36253 + 30 sqrt(1462809)))^(1/3) + (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)) + 7/60
50 points Its really geometry Distance Formula
Step-by-step explanation:
1) 51
2)32
3) 18
4)9
5)12
Answer:
slime tee
Step-by-step explanation:
charli damelio
refr
rt
gr
grt
g
rgt
123ssrobllogx+log(3x-5)=log2
Answer:
x=2
Step-by-step explanation:
Four different linear functions are represented below.
a) which function has the graph with the greatest slope?
b) which functions have graphs with y intercepts greater than 3?
c)which function has the graph with a y intercept closest to 0
Answer:
A) Function 4
B) Function 2
C) Function 3
Step-by-step explanation:
please fine me the solution
Answer:
16/3a^22b^2
I used a calculator to solve this
What is the vertex for y=|x-3|-2
Answer:
The vertex is [3,0]
Step-by-step explanation:
y=a(x−h)2+k , where ( h,k ) is the vertex of the parabola. By comparing the two equations, we see that h=3 and k=0 . The vertex is at ( 3,0 ).
Answer:
The vertex is [3,0]
Step-by-step explanation:
y=a(x−h)2+k , where ( h,k ) is the vertex of the parabola. By comparing the two equations, we see that h=3 and k=0 . The vertex is at ( 3,0 ).
If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
Answer:
The value of [tex]v[/tex] is ± 22.729.
Step-by-step explanation:
Let be [tex]a=m\cdot g -\frac{k\cdot v^{2}}{m}[/tex], the variable [tex]v[/tex] is now cleared:
[tex]\frac{k\cdot v^{2}}{m}=m\cdot g -a[/tex]
[tex]k\cdot v^{2} = m^{2}\cdot g- m\cdot a[/tex]
[tex]v^{2} = \frac{m^{2}\cdot g - m\cdot a}{k}[/tex]
[tex]v =\pm \sqrt{\frac{m^{2}\cdot g-m\cdot a}{k} }[/tex]
If [tex]a = 2.8[/tex], [tex]m=12[/tex], [tex]g = 9.8[/tex] and [tex]k = \frac{8}{3}[/tex], the value of [tex]v[/tex] is:
[tex]v=\pm \sqrt{\frac{(12)^{2}\cdot (9.8)-(12)\cdot (2.8)}{\frac{8}{3} } }[/tex]
[tex]v \approx \pm 22.729[/tex]
The value of [tex]v[/tex] is ± 22.729.
i need help on this, i don’t understand it.
Answer:
D
Step-by-step explanation:
From law of indices,( X^3)^2= x^3×2=x^6
Then the other one, also from law of indices, square
root of 5 is the same as 5 raised to power 1/2, then we multiply the powers, that will give us 5 and we have our complete expression which is x^6-5
Write the equation of a line with a slope of -2 and a y-intercept of 5
Answer:
y = - 2x + 5Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
Slope / m = - 2
y intercept / c = 5
Substitute the values into the general equation above
We have the final answer as
y = - 2x + 5Hope this helps you
if i bought a product for $74.83 and get a 10% refund how much do i get back?