Anna uses 120 g of chocolate and 360 grams of margarine to needed to bake biscuits.
We have data as follows; To make 24 biscuits Anna uses following proportion of Ingredients;
80 g sugar
120 ml syrup
200 g oats
120 g margarine
40 g chocolate
Now We can analysis that anna uses 40 g chocolate to make 24 biscuits
So for 120 g of chocolate Anna can bake [tex] \frac{24(120)}{40} [/tex]
= 24 (3)
= 72 biscuits
∴ Anna can bake 72 biscuits if she uses 120 g of chocolate.
We want to find how many grams of margarine will she need to make 72 biscuits and this can be done as follows;
Ingredients for 24 biscuits require 120 g margarine
∴ For 72 biscuits anna require [tex] \frac{72(120)}{24} [/tex] g of margarine
= 3 (120)
= 360 g of margarine.
Hence 360 grams of margarine anna needed.
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5(x-2)+7=5x-11 what is the answer
express each of the following rational numbers as decimals
a,4/9
A line goes through the points (9,8) and (-3,4).
What is the slope of the line? Show your work
Write the equation of the line in point-slope form. Show your work
Write the equation of the line in slope-intercept form. Show your work.
Answer:
[tex]\textsf{Slope}: \quad \dfrac{1}{3}[/tex]
[tex]\textsf{Point-slope form}: \quad y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{1}{3}x+5[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Slope formula}\\\\slope ($m$) $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}[/tex]
Define the given points:
(x₁, y₁) = (9, 8)(x₂, y₂) = (-3, 4)Substitute the defined points into the slope formula:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-8}{-3-9}=\dfrac{-4}{-12}=\dfrac{1}{3}[/tex]
[tex]\boxed{\begin{minipage}{4.6 cm}\underline{Point-slope formula}\\\\$y-y_1=m(x-x_1)$\\\\where $m$ is the slope and\\ $(x_1,y_1)$ is a point on the line.\end{minipage}}[/tex]
Substitute point (9, 8) and the found slope into the point-slope formula:
[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\boxed{\begin{minipage}{3.8 cm}\underline{Slope-intercept formula}\\\\$y=mx+b$\\\\where $m$ is the slope\\ and $b$ is the $y$-intercept.\end{minipage}}[/tex]
To write the equation of the line in slope-intercept form, rearrange the point-slope formula:
[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\implies y-8=\dfrac{1}{3}x-3[/tex]
[tex]\implies y-8+8=\dfrac{1}{3}x-3+8[/tex]
[tex]\implies y=\dfrac{1}{3}x+5[/tex]
Shantel buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies. what is the probability that shantel randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie?
Answer:
6 out of 24
Step-by-step explanation:
5+5+6+8 = 24
there are 6 peanut butter cookies
In all there are 24 cookies
Since there are 6 peanut butter cookies since there are 24 cookies there is a chance of 6 and 24 of getting a peanut butter cookie.
Which of the following expressions represents the distance between -4 and 1
a) ∣−4+1∣
b) ∣−4−1∣
c) None of the above
Which statement describes the graph of y= -x+3 and y=-x+6?
Responses
They intersect at point ( 3 ,6 )
They are parallel
They are perpendicular
They intersect at point (6,3).
Considering the definition of parallel line, the statement "They are parallel" describes the graph of y= -x+3 and y=-x+6.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where:
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Parallel lineParallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.
Two lines are parallel if they have the same slope or value of m and different y-intercepts or value of b.
This caseIn this case, you know:
y= -x+3 has a slope of -1 and an ordinate to the origin of 3.y=-x+6 has a slope of -1 and an ordinate to the origin of 6.Two lines are parallel if they have the same slope and different y-intercepts. Then, both lines are parallel.
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Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
Answer:
(-5, -3)
Step-by-step explanation:
We can use the fact that the diagonals of a parallelogram bisect each other
Let me classify the points as
A (-4, 7)
B (2, -5)
C (3, 5)
Let us assume the 4th vertex is D(x, y) where x and y have to be determined
We will assume that AB is the diagonal of the parallelogram ABCD
The midpoint of a line segment from (x1, y1) to (x2, y2) is given by
(1/2)(x1 + x2, y1 + y2) ie the average of their x and coordinates
If we let O be the midpoint of AB, coordinates of O are
1/2 x (-4 + 2, 7 -5) = 1/2 x ( -2, 2) = (-1, 1)
We know the other diagonal CD must pass through point O and O is also the midpoint of CD
Therefore if coordinates of D are (x, y)
then x-coordinate of O which is -1 should be the average of x coordinate of C and x coordinate of D
==> - 1 = (3 + x)/2
=> -2 = 3 + x
=> -2 - 3 = x
=> -5 = x
=> x = -5
Similarly
1 = (5 + y)/2
=> 2 = 5 + y
=> 2 - 5 = y
=> -3 = y
y = -3
So the coordinate of the fourth vertex D are (-3, -5)
Check the attached graphs for a clearer understanding
someone give me the answer pls
The measure of the triangle for the value of x is x = 11.
What is defined as the triangle?A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon.
The sum of a triangle's three interior angles is always 180°.The sum of any two triangle sides is always larger than the length of a third side.A triangle's area is equal to half the product of the its base and height.For the given value of triangle;
The three angles are given as;
3x + 84x + 1184By the sum of all angles of triangle property.
The sum of all three angles of the triangle is 180°
Thus,
3x + 8 + 4x + 11 + 84 = 180
Simplifying;
7x = 180 - 103
7x = 77
x = 11
Thus, the solution of x of the given triangle is found as x = 11.
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Please answer the questions at the top.
Answer: Let's be honest, no one knows the answer. Unless you want to pay coursehero $9.95/mo for an answer and step-by-step explanation, you're toast.
Some of my answers are absolutely amazing, and actually helpful. But some of my answers are not.
A lot of the time, Brainly's "Expert Verified Answers" are very incorrect, and even if you report it, Brainly does not care.
So, if Brainly ITSELF can't answer a question properly, well,
Simply put, your grade is toast.
And if Brainly deletes this absolutely wonderful fantastic answer, that just means that they are acknowledging that these "Expert Verified Answers" are not as "expert" as they may think they are.
:|
j(x) = 3x² + 2x – 5
Find J(3)
Answer:
28
Step-by-step explanation:
J(x) = 3x^2 + 2x - 5
they have asked us to find J(3), therefore substitute x with 3 throughout the equation.
j(3) = 3*3^2 + 2*3 - 5
J(3) = 3*9 + 6 - 5
J(3) = 27 + 6 - 5
J(3) = 33 - 5 = 28
-(5)^2(4) please show work
[tex]-(5)^{2*4} \\-(5)^{8} \\\\=-390,625[/tex]
Cranberry juice 4 lemon lime soda 1 orange juice 2 pineapple juice 2 if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?
The appropriate choice of ratio will be given by
She will need 6 cups of orange juice to keep the ratio in a full punch bowl the same.
What is ratio?
Ratio determines the comparision among many quantities with the same unit.
Here,
Let the number of cups of Cranberry juice be 4x,
Number of cups of lemon lime soda be x
Number of cups of orange juice be 2x,
Number of cups of pineapple juice be 2x
Total = 4x + x + 2x + 2x = 9x cups
By the problem,
9x = 27
x = [tex]\frac{27}{9}[/tex]
x = 3
Number of cups of orange juice = 2 * 3 = 6 cups
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Is the relation in this set of points a function? {(-2, 6) , (4, 5) , (3, -3) , (6, 9), (4, -4)}
State whether the statement is true of false.
1. The relation is a function.
2. An element from the domain is paired with more than one element from the range.
Answer: 2.An element from the domain is paired with more than one element from the range.
Step-by-step explanation:
I did the quiz
Correct me if im wrong
Have a great day!
What is the next fraction in this sequence? Simplify your answer. 17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , ...
The next fraction in the given sequence is 13/18
In this question, we have been given a sequence of fractions.
17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , . . .
We need to determine the next fraction in the given sequence.
We rewrite the fraction 8/9 as,
8/9 = 8 × 2 / 9 × 2
= 16/18
We rewrite the fraction 5/6 as,
5/6 = 5 × 3 / 6 × 3
= 15/18
We rewrite the fraction 7/9 as,
7/9 = 7 × 2 / 9 × 2
= 14/18
This means, the given sequence of fractions is 17/18, 16/18, 15/18, 14/18, ...
From this sequence, the next fraction would be 13/18
Therefore, the next fraction in the given sequence is 13/18
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what’s the percentage change to 2 decimal places when 125.99 is increased to 150
The percentage change is 16%
How to calculate the percentage change ?The initial value is 125.99
It changed to 150
The percentage change can be calculated as follows
= 150 - 125.99/150 × 100
= 24.01/150 × 100
= 0.16 × 100
= 16%
Hence the percentage change is 16%
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Help complete Kohana’s pattern by entering rules to transform each figure from the table?
Answer:
Step-by-step explanation:
hshshaahhs
HELP LAST QUESTION
multiple the polynomials (3x^2 - 5x +7) and (2x^2 + x - 2) simply the answer
Answer:
Use the distributive property to solve this.
(3x²-5x+7)(2x²+x-2)
= 6x⁴+3x³-6x²-10x³-5x²+10x+14x²+7x-14
= 6x⁴-7x³+3x²+17x-14
Find the missing value(s) in the ratio table. Then write the equivalent ratios.
Violins
Cellos
8
3
24
Missing value of the table is 9.
Define equivalent ratios.When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent. If two or more ratios have the same value when reduced to their most basic form, they are said to be equal. For instance, the ratios 1:2, 2:4, and 4:8 are identical. When reduced to their most basic form, all three ratios have the same value, or 1:2. We can multiply or divide the words by a natural number to get analogous ratios to a given ratio. When two words are co-prime (have just one other common factor), we multiply them by any natural number instead of performing the division procedure.
Given Data
Violins
Cellos
8 24
3
Let missing number be x
[tex]\frac{8}{24}[/tex] = [tex]\frac{3}{x}[/tex]
When we compare two ratios, they are said to be equivalent.
If two or more ratios have the same value when reduced to their most basic form, they are said to be equal
simplifying, [tex]\frac{8}{24}[/tex]
[tex]\frac{1}{3}[/tex]
[tex]\frac{3}{x}[/tex] =[tex]\frac{3}{9}[/tex]
Missing value of the table is 9.
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9 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in minutes per customer?
Answer:
0.5 entrances per minute
Step-by-step explanation:
9 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in minutes per customer?
9/18 = 0.5 entrances per minute
Answer: 2 minutes/Customer
Step-by-step explanation:
Total time passed: 18 minutes
Total customers entered: 9 nos.
using unitary method, number of minutes requires for one customer to enter or minutes per customer is:
18/9 that is , 2 minutes/customer.
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PLS HELP ME I DON'T KNOW WHAT TO DO PLEASE HELP ◑︿◐
Complete each exercise about the pairs of fraction bars
1. What equivalent fractions are shown? _____
2. Identify the multiplier. _____
3. What equivalent fractions are shown? ______
4. Identify the divisor. ______
I WIL GIVE BRAINLIEST 5 FOR WHOE EVER ANSWERS MY QUESTION (Add a picture)
The equivalent fractions shown on the fraction bar is 3/4 and 6/8.
The multiplier is 2.
The equivalent fractions shown on the fraction bar are 4/6 and 12/18.
The divisor is 3.
What are the equivalent fractions?A fraction is a non whole number that is made up of a numerator and a denominator. The numerator is the number above the line and the denominator or divisor is the number below the line. An example of a fraction is 1/10. 1 is the numerator and 10 is the denominator.
Equivalent fractions are fractions that have different numerators and denominators but when expressed in its simplest form, they are the same fractions. For example, 1/2 and 3/6 are equivalent fractions because when 3/6 is expressed in its simplest form, it is 1/2.
In the first fraction bar given, there are 4 bars and 3 are shaded. Thus, the fraction it represents is 4/6. Likewise in the second fraction bar, 6 are shaded and there are 8 bars.
In the third fraction bar, 12 are shaded and there are a total of 18 bars. The fraction is 12/18. In the fourth fraction bar, 4 are shaded and there are 6 total bars. The fraction is 4/6.
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what is 2(10) + 2(x – 4) simplified
Find the value of the exterior or interior angle!
The values of interior angle is 63°, 46°, 71°
What are Interior Angles?
Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."
Put all the values equal to 180°,
=> (2x+5) + (x+17) + (3x-16) = 180°
Now, solve this equation and find x,
=> 6x + 22 - 16 = 180
=> 6x = 180 - 6
=> x = 174 / 6
=> x = 29°
Put x = 29° in the 2x + 5, x + 17, 3x - 16
2x + 15 | x + 17 | 3x - 16
2 * 29 + 15 | 29 + 17 | 3 * 29 - 16
63° | 46° | 71°
Therefore, the values of interior angle is 63°, 46°, 71°
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What are the dimensions of the matrix?
[−163049−1−2]
Enter your answer by filling in the boxes.
Answer: 2 x 4
Reason:
There are 2 rows and 4 columns. The order is important since 4x2 is different from 2x4.
Which equation represents the line through (2, - 4) and (0, 4)?
Answer: Option D is correct.
y = -4x + 4
Answer:
y = -4x + 4
Step-by-step explanation:
D. is your answer ^^
rereciporical of 3.5??
Answer:
B
Step-by-step explanation:
3 5/6 = 23/6
Reciprocal: 6/23 i hope you pass(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Please help
Use the information provided to determine the value of x.
Answer:
70°
Step-by-step explanation:
The sum of the interior angles is 180. Subtract the 40 that you know about and you have 140. Since the two sides are equal, the angles opposite them are equal. 140/2 = 70
Divide using either synthetic division or long division
(3x^3+4x^2-x+7)/(x+2)
Answer:
3x^2-2x+3 with a remainder of 1/x+2
Step-by-step explanation:
I'm in math 1 honors and I forgot a subject to far into the grade and I need help solving a couple questions its the average rate of change in weeks
Week
x
Number of Animals
x f(x)
1, 62
2, 73
3, 78
4, 86
5, 91
What was the average rate of change from week 1 to week 4?
how would i go about solving this
The average rate of change from week 1 to week 4 is 3 animals per week.
What is mean?It should be noted that a mean simply refers to the average set of numbers that are given.
This will be illustrated as thus:
The total number of rate of change animals from week 1 to week 4 will be:
= (73 - 62) + (78 - 73) + (86 - 78)
= 11 + 5 + 8.
= 24
Therefore, the average will be:
= Total changes / Number of weeks
= 24 / 8.
= 3
Therefore, there's an average of 3 animals added every week.
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A line passes through the point (2,7) and has a slope of 5/2 Write an equation in slope-intercept form for this line.
Answer:
y = (5/2)x + 2
Step-by-step explanation:
(2, 7)
(x₁, y₁)
m = (5/2)
y - y₁ = m(x - x₁)
y - 7 = (5/2)(x - 2)
y - 7 = (5/2)x - 5
+7 +7
------------------------
y = (5/2)x + 2
I hope this helps!
Find all the missing angles and give a reason!!
PLEASE HELP I WILL GIVE BRAINLIEST TO WHO ANSWERS
Angle #1 = 90 Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 22= 90. Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 8 = 90 . Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 2 = 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.
#17 = 60. Reason: We have the sum of all interior angles at 180.
180 degrees = 30+ 90+ #17
so # 17 = 180 - ( 30+90) = 60.
#23= 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.
# 19= 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
#26 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
#21 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 16 = 60 Reason: We have the sum of all interior angles at 180. And Opposite sides are equal and parallel. So # 16 + 90 + # 27 = 180
so # 16 + #27 = 180-90 = 90.
#3= 30. We have # 16 +# 3 = 90. So 60 +# 3 = 90. Hence, # 3 = 30.
#27 = 30.