========================================================
Explanation:
8 jars need 1.8 kg of caster sugar.
Cut each value in half to see that 4 jars need 0.9 kg of caster sugar.
Convert 0.9 kg to grams to get 900 grams (multiply by 1000 to go from kg to grams).
Jayne needs 900 grams of caster sugar. She has 860 grams already, which means she needs an additional 900-860 = 40 grams
Find the slope from the two points given: (0, -2) and (-6, 4)
Answer:
Step-by-step explanation:
here x1=0 y1=-2 x2=-6 y2=4
slope=y2-y1/x2-x1
=4-(-2)/-6-0
=4+2/-6
=6/-6
=-1
therefore slope=-1.
Which table shows a function that is decreasing over the interval (-2, 0)?
x
f(x)
f(x)
X
f(x)
-2
0
-2
-15
-3
N
-1
-5
0
-5
-2
0
0
0
2.
-20
-1
-10
1
5
4
4
-30
0
-24
O
O
Answer:
it is becoming a actual number and not a negative
Help fast!! please.
Answer:
Mean = 10
Variance = 30.89
Standard Deviation = 5.56
Step-by-step explanation:
Find the Mean, Variance and Standard deviation
6, 14, 8, 2, 11, 7, 12, 4, 18, 18
Step 1
We rearrange the data and find the Mean
2, 4, 6, 7, 8, 11, 12, 14, 18, 18
Mean = Sum of values/Number of values
= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10
= 100/10
= 10
Step 2
We find the variance of this sample days ma
Variance = (x - Mean)²/n - 1
n = 10
Hence,
=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1
= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9
= 278/9
= 30.88888889
Approximately = 30.89
Step 3
Standard Deviation = √Variance
= √30.89
= 5.5578772926
Approximately = 5.56
#42 urgent please be certain
Answer:
Its D
Step-by-step explanation:
Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
Answer:
[tex]y = (x - 3)^2 - 12[/tex]
[tex](3,-12)[/tex]
Step-by-step explanation:
Given
[tex]y = x^2 - 6x - 3[/tex]
Solving (a): In vertex form
The vertex form of an equation is:
[tex]y = a(x - h)^2 + k[/tex]
To do this, we make use of completing the square method.
We have:
[tex]y = x^2 - 6x - 3[/tex]
------------------------------------------------------------------
Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
------------------------------------------------------------------
[tex]y = x^2 - 6x - 3[/tex]
[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]
[tex]y = x^2 - 6x + 9 - 12[/tex]
Factorize [tex]x^2 - 6x + 9[/tex]
[tex]y = x^2 - 3x-3x + 9 - 12[/tex]
[tex]y = x(x - 3)-3(x - 3) - 12[/tex]
Factor out x - 3
[tex]y = (x - 3)(x - 3) - 12[/tex]
Express as squares
[tex]y = (x - 3)^2 - 12[/tex]
Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]
Solving (b): State the coordinates of the vertex.
In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)
The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]
Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on selling them for $19. How many hats will Ruth have to make to break even, and how much will sales and costs be at that point?
Answer: Ruth have to make 7 hats to break even.
Step-by-step explanation:
Break even point is a point where Cost = Revenue.
Let x be the number of hats sold.
Given: Cost of booth = $63
Each hat cost = $10
Selling price for each cost = $19
As per given,
Total cost = Cost of booth+ (Cost of each hat)(Number of hats)
= 63+10x
Total selling price = 19x
For break even,
63+10x=19x
9x=63
x=7
Hence, Ruth have to make 7 hats to break even.
A mattress store in Stafford purchased a mattress at a cost of $255 and marked it up 100%. Later on, Cassie bought the mattress. If the sales tax in Stafford is 11%, how much did she pay in all?
Answer: 278.18
sorry if it's wrong
Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181
so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18
Answer: The correct answer is $566.10
Step-by-step explanation: IXL
20 pts
The vertices of a triangle are (3,-2), (5.-8) and (-2, 1). What is the approximate perimeter of
the triangle
Answer:
23.56 length units
Step-by-step explanation:
To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.
To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).
Side 1: (3,-2), (5, -8)
difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)
Side 2: (5, -8), (-2,1)
difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)
Side 2: (-2,1), (3,-2)
difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)
Perimeter
= sum of sides
= sqrt(40)+sqrt(130)+sqrt(34)
= 6.32+11.40+5.83
= 23.56 approximately
The solution set of n2 − 14n = -45 is {____}.
Please help for geometry final!!
Answer:
∠1 = 180° - 123° = 57°
∠2 = 180° - 57° - 48° = 75°
∠3 = 180° - 123° - 13° = 44°
Answer:
2
[tex]m < 1 = 180 \degree - 123\degree \\ = 57\degree[/tex]
3
[tex]m < 2 = 180\degree - 57\degree - 48\degree \\ = 75\degree[/tex]
4
[tex]m < 3 = 180\degree - 123\degree - 13\degree \\ = 44\degree[/tex]
how do i solve this
it’s geometry
Answer:
x=5, y=11
Step-by-step explanation:
> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°
>we know that the opposite angles are congruent so ...
>we have the sum of interior angles is
108+108+7y-5+7y-5 = 360, combine like terms
14y +206 =360, subtract 206 from both sides
14y = 154, divide both sides by 14
y= 11
>the sides are congruent therefore
4x+17 = 8x-3 , subtract 4x, and add 3 from both sides
17+3 =8x-4x, combine like terms
20 = 4x , divide by 4 both sides
5 =x
A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the
number of parrots at the zoo?
А
A
1:4
B
1:5
с
4:1
D
4:5
Answer:
A, 1:4
Step-by-step explanation:
15:60 simplified:
3:12
1:4
Please help with this. This is a major grade
Answer:
68°
Step-by-step explanation:
Refer to the picture above. Therefore,
angle NKQ + 90 + 90 + 112 = 360
angle NKQ = 68°
What additional information do you need to prove ∆ABC ≅ ∆DEF by the SSS Postulate?
Answer:
The first choice AB congruent to DE
Step-by-step explanation:
we already know that the other sides are congruent by looking at the dashes on the side, but there is no indicatation that that Side AB and side DE are congruent
find the LCM of 30,45,60,90
Answer:
180
Step-by-step explanation:
30 = 2 x 3 x 5
45 = 3^2 x 5
60 = 2^2 x 3 x 5
90 = 2 x 3^2 x 5
LCM ( 30, 45, 60, 90 )
= 2^2 x 3^2 x 5
= 4 x 9 x 5
= 180
Is the answer a b or c
Answer:
Step-by-step explanation: A
Answer:
B
Step-by-step explanation:
10 to 4
4 divided by 2 = 2, 2 x 5 = 10
15 to 6
6 divided by 2 = 3, 3 x 5 = 15
35 to 14
14 divided by 2 = 7, 7 x 5 = 35
how do i solve this in standard form ( see image)
Answer:
-25
Step-by-step explanation:
Let h = -3.
[tex](8(-3)-1)-(-3+3)\\(-24-1)-(-3+3)\\-25-0\\-25[/tex]
Which expression is equivalent to √900f^6/100g^4
Answer:
A
Step-by-step explanation:
c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²
and not 30f something.
the best answer I see is correct is a.
An animal shelter has three kinds of Labrador Retrievers: yellow, brown, and black. They have
both male and fomae in all of the colors. What is the probability of picking a female yellow Labrador
Retriever?
Step-by-step explanation:
There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)
When choosing a dog from random, you can either choose:
Brown/M
Brown/F
Black/M
Black/F
Yellow/M
Yellow/F
(This list is called the Sample Space, a list of all possible outcomes)
Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.
When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.
Help what’s X? Need answer asap
Answer:
x = 10
Step-by-step explanation:
The secant- secant angle 3x is half the difference of the intercepted arcs, that is
3x = [tex]\frac{1}{2}[/tex] (4x + 50 - 30 )
3x = [tex]\frac{1}{2}[/tex] (4x + 20) = 2x + 10 ( subtract 2x from both sides )
x = 10
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.
Answer:9 6/20
Step-by-step explanation:
add numerator and find lcf on denominator add whole number
Answer: 9 6/20
Hope that helps :)
2. A bag contains 5 red marbles, 3 blue marbles, 6 white marbles, and 2 green marbles.
A. You choose one marble at random. Find the probability that you will choose a
white marble.
B. You choose one marble at random. Find the probability that you do not choose a red
marble.
I
C. You choose one marble at random, put the marble aside, then choose a second
marble at random. What is the probability that both marbles are blue?
D. You choose one marble at random, put the marble back in the bag, then choose a
second marble at random. What is the probability that you choose a red marble
and then a green marble?
Answer:
Step-by-step explanation:
5 red
3 blue
6 white
2 green
total 16 marbles.
Note: P(E) = probability of event E happening
P(~E) = probability of event E NOT happening.
We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.
A. choose one marble at random.
P(W) = 6 white / 16 total = 3/8
B. choose one marble at random.
P(~R) = (16-5)/16 = 11/16
C. choose one marble at random, then a second one without replacement,
there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.
P(BB) = (3/16)*(2/15) = 1 / 40
D. choose two with replacement
5 red out of 16 for first draw, still 5 red out of 16 for second draw.
P(RR) = (5/16)^2 = 25/256
129x-33=112
solve for x
Answer:
x =145/129
Step-by-step explanation:
129x-33=112
Add 33 to each side
129x-33+33=112+33
129x = 145
Divide each side by 129
129x/129 = 145/129
x =145/129
A square has an area of 81 cm^2.What is the length of each side
Answer:
length of each side=√81
=9 cm
Answer:
9cm
Step-by-step explanation:
a square has 4 equal sides, so to find out the area you do width x height
the area is 81cm², which means that the side length is 9cm as 9 x 9 = 81
hope this helps :)
Someone please help me thank you
Answer:
x = 8 and y = 10
Step-by-step explanation:
The given equations are :
2x -y = 6 ....(1)
-9x + 3y = -42 ....(2)
Multiply eqation (1) by 3.
6x - 3y = 18 .....(3)
Adding equation (2) and (3).
-9x + 3y + 6x - 3y = -42 +18
-3x = -24
x = 8
Put the value of x in equation (1).
2(8) -y = 6
16 - 6 = y
y = 10
Hence, the values of x and y are 8 and 10 respectively.
Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450450450 kilograms (\text{kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.
Write an inequality to determine the number of packages, ppp, Renna could remove from the elevator to meet the mass requirement.
What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?
Answer:
5 packages and P > 4, 14 or P > 29/7
Step-by-step explanation:
I did it before
help!!! find the missing side, round to the nearest tenth
Answer:
D
Comment if you need step by step. I assumed you needed it fast
Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.
Which equation can be used to find the number of times Maria hiked each trail?
x + y = 90
5x – 10y = 90
90 – 10y = 5x
90 + 10y = 5x
The equation can be used to find the number of times Maria hiked each trail is 5x + 10y = 90
Equationlet
number of times Maria hiked the mountain trail = xnumber of times Maria hiked the canal trail = y5x + 10y = 90
Therefore, the equation to represent the number of times Maria hiked each trail is 5x + 10y = 90
Learn more about equation:
https://brainly.com/question/16863577
#SPJ1
Answer:
5x + 10y = 90
Step-by-step explanation:
Help please I really need it ( P.S. I know my answer is wrong I had to click on one for me to see the answer choices)
can someone help me?
(2x+8)(2x+2)
[tex] 4 {x}^{2} + 20x + 16[/tex]
Step-by-step explanation:
[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
