The flour that Karina's mother has won't be enough for the recipe and she requires extra 3/20 together with the quality owed by the mother.
What is flour ?Flour is defined as a food product that is the main ingredient for baking of different recipes such as cakes, breads, plate pies just to mention a few.
The amount of flour needed by Karina for the recipe= 3/5 = 0.6.
The amount of flour owed by the mother = 3/7 = 0.45
The difference between the available flour = 0.6 - 0.45 = 0.15
This shows that extra flour of 0.15 or 3/20 is needed in addition to the quantity of flour owed by the mother to be able to make the recipe.
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The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.
Buckets 2 5 7
Price (dollars) 14.50 36.25 50.75
Determine the constant of proportionality.
14.5
7.25
21.75
8.25
Answer:
B) 7.25Step-by-step explanation:
Proportional relationship equation:
y = kx, where k-constant of proportionalityIn the given table, number of buckets represent input values (x) and the price represents output values (y).
We have for the first column:
x = 2, y = 14.50Find the value of k by plugging in the values of x and y:
14.50 = 2kk = 14.50/2k = 7.25Same result will be obtained with the other columns, therefore the constant of proportionality is 7.25.
Answer:
b) 7.25
Step-by-step explanation:
Formula we use,
→ y = kx
→ k = y/x
Now the value of k will be,
→ k = y/x || → k = y/x
→ k = 14.5/2 || → k = 36.25/5
→ [ k = 7.25 ] || → [ k = 7.25 ]
Hence, the answer is 7.25.
a math test is worth 100 points and has 30 problems. each problem is worth either 3 or 4 points. how many 4-point problems are there?
If a math test is worth 100 points and has 30 problems and each problem is worth either 3 or 4 points, then there are 10 4 point problems
Total number of questions = 30
Number of 3 point questions = x
Number of 4 point questions = y
The first equation will be
x + y = 30
x = 30-y
Total score of the test = 100 points
Then the second equation will be
3x + 4y = 100
Here we have to use the substitution method, substitute the value of x in the equation
3(30-y) + 4y = 100
90 - 3y +4y = 100
y = 100 - 90
y = 10
Hence, if a math test is worth 100 points and has 30 problems and each problem is worth either 3 or 4 points, then there are 10 4 point problems
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Image has details below with FACTORING
Answer:
12
Step-by-step explanation:
1) Substitute x into the equation
To substitute you would need to multiply the number before it by 2 (in other questions it would be the value told that is x)
-3 x 2 = -62.5 x 2 = 58 x 2 = 162) Put the numbers you have worked out into the equation
-6 + 1.5 + 5 - 4.5 + 16
3) Work out the final equation
-6 + 1.5 = -4.5-4.5 + 5 = 0.50.5 - 4.5 = -4-4 + 16 = 12Hope this helps, have a great day!
If m^n=32, where m
and n are positive integers, find n^mn
The value of [tex]n ^ {mn}[/tex] = [tex]5^{10}[/tex] or 9765625.
An index is a number that is raised to power. It is written as a small number to the right and above the base number. Other names for the index are exponent or power.
The index of a number says how many times to use the number in multiplication.
[tex]m^n[/tex]=32
m and n are positive integers.
32 = 2 x 2 x 2 x 2 x 2
32 = [tex]2^5[/tex]
hence, m = 2 and n = 5.
Now, Let's find the value of [tex](n ^ m)^n[/tex].
[tex](n ^ m)^n = n^{m*n}[/tex]
= [tex]5^{2*5}[/tex]
= [tex]5^{10}[/tex] or
= 9765625
Hence, the value of [tex]n ^ {mn}[/tex] = [tex]5^{10}[/tex] or 9765625.
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You are given AMNP-AQRT.
Which expression is equal to sinR?
A SinM
B.sinQ
C.sin(90-M)
D.sin(90-N)
Can someone help me with the question I will give you Brainliest so please help Asap.
What is the distance between the two bodies halved?.
When distance is halved, force increases by 4 times.
What is gravitational force?
Each body in the universe attracts other bodies towards itself with a force known as Gravitational Force
Gravitational force is a central force which depends only on the position of test mass from the source mass and always acts along the line joining the centres of two masses.According to Newton’s law of gravitation, “Every particle in universe attracts every other particle with a force whose magnitude is,
Directly proportional to product of their masses, i.e., F ∝ (M1M2)Inversely proportional to the square of the distance between their centre, i.e., (F ∝ 1/r²)On combining these equations, we get
F = G × [M1M2]/r²
F ∝ M1M2/r²
Now , r' = r/2 ( given)
so, F' ∝ (m1m2) / (r/2)²
F' ∝(4 m1m2) / r²
Thus F' = 4×F
So, we can conclude that, when distance is halved, force increases by 4 times.
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If you are working on the part of 5-15 minutes, time-stamping (every 30 seconds) should start at: a. [00:00:00].
A timestamp is a signal that lets us know when the pertinent text was spoken and at what time. They are displayed in the format [HH:MM:SS], where HH stands for hours, MM for minutes, and SS for seconds.
There are various types of timestamps, as follows:-
1. Periodic timestamps: These timestamps are repeated frequently. They can show up every 15 or 30 seconds, or once or twice every minute.
2. Timestamps for paragraphs
3. Timestamps of sentences
4. Timestamps for speakers
When transcribing audio recordings, the following time-stamping format is used:
[00:00:00]
in which [hour: minute: second]
Therefore, [00:05:00] is the fifth minute.
If an audio file has five to fifteen minute segment, needs to be transcribed, stamping should begin at [00:05:00].
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A line has a slope of 3/8 and includes the points (–6,d) and (10,10). What is the value of d?
Answer:
d = 4
Step-by-step explanation:
Because the slope formula is:
y2-y1 / x2-x1 = m
10-d / 10+6 = 3/8
Cross multiply 10+6 and 3/8
10-d = 16(3/8)
10-d = 6
10-6=d
4=d
Haley buys 18 bars of chocolate which cost her $5.40. TO raise money for charity she sells them at 40 cents each. She manages the sell them all.what is haley's percentage profit ?
Answer:
33.333...% over the base 100% (100% is representing the $5.40)
Step-by-step explanation:
she gets $7.20 from selling the 18 chocolate bars
7.20 divided by 5.40 is 1.3333...
the 1 in 1.3333... represents the base 5.40 and the 0.3333... represents the profit
Explain the error in the equation that is written in standard form.
-4x + 3y = 20
Edit:
The standard form would be:
3y = 20 - 4x
or
3y = -4x + 20
Answer/Step-by-step explanation:
Standard form of the equation should be in the form:
Ax + By = C
A, B and C must be whole numbers not fractions or decimals. B and C can be negative, but A must be positive.
Correctly written in standard form, this equation just needs one small tweak, multiply the whole thing by -1 to change all the signs so that the A will be positive.
-4x + 3y = 20
-1(-4x + 3y = 20)
4x - 3y = -20 this is proper standard form.
Solve 24-3r≥-9.
Solution:
Graph the solution.
-10 -8
-6
-4
-2
0
2
+
4
4
Graph D represent the function.
Function is a representation of continue graph which can't be break so B and C are eliminated from the option.
1. Draw all possible linea parallel to Y- axis
2. If any line cuts the graph at two or more than two points then it is not a function
Reason:- function ka definition hai, element of A related to Only single (one/unique) element in set B.
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Graph D represent the function
Function is a representation of continue graph which can't be break so B and C are eliminated from the option.
1. Draw all possible linea parallel to Y- axis
2. If any line cuts the graph at two or more than two points then it is not a function
Reason:- function ka definition hai, element of A related to Only single (one/unique) element in set B.
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6·3+6-4+6·5
6 · 3 + 6 · 4 + 6 · 5 + 6 · 8 + 2[3 · 4+ (3 · 4)]
Answer:
6·3+6-4+6·5
6 · 3 + 6 · 4 + 6 · 5 + 6 · 8 + 2[3 · 4+ (3 · 4)]=168
Answer:
one on top is 50
Step-by-step explanation:
a simple random sample of 31 observations was taken from a large population. the sample mean equals 5. five is a group of answer choices population parameter point estimate population mean standard error
If a simple random sample of 31 observations was taken from a large population. The sample mean equals 5 then the five is a point estimate
Total number of population = 31 observations
Sample mean of the population = 5
Sample mean is the average value of the sample that is selected from a large population of data.
The point estimate is defined as the single value estimate of the parameter. Point estimate is usually use when we have to choose single value from a larger population, that should be the best estimate to represents the parameter.
Here the sample mean of population is 5
Therefore, five is a point estimate
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I need help please Find the measure of each angle
Answer:
3.54
Step-by-step explanation:
Consider the following:
If I bake a cake, then I won't buy cookies.
If I don't buy cookies, then I don't need milk.
Based on the statements above, what is a valid conclusion?
OA. If I don't bake a cake, then I need milk.
OB. If I buy cookies, then I bake a cake.
O c. If I don't need milk, then I didn't buy cookies.
OD. If I bake a cake, then I don't need milk.
From the given statements the valid statement is, If I buy cookies, then I bake a cake.
What is valid statement?
Valid: An argument is only considered to be valid if all of the premises must be true in order for the conclusion to be true. It is also impossible for all of the premises to be true while the conclusion is false.
Consider, the given statements
If I bake a cake, then I won't buy cookies.
If I don't buy cookies, then I don't need milk.
Since an argument is valid if and only if it is necessary that if all of the premises are true, then the conclusion is true.
Here, the premises are true, so the valid argument is, If I buy cookies, then I bake a cake.
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Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Lia’s parents allow her to work a maximum of 15 hours per week overall. Lia’s goal is to earn at least $120 per week.
Write a system of inequalities to represent this situation. Let r be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
Graph the inequalities.
What is the maximum number of hours Lia can work at the restaurant and still meet her earnings goal? Explain.
What is the maximum amount of money Lia can earn in 1 week? Explain.
THE ASSIGNMENT IS ABOUT SYSTEMS OF INEQUALITIES
Answer:
Step-by-step explanation: (a)
(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours
(d)Maximum Earning = $160
Step-by-step explanation:
Let r be the number of hours worked at the restaurant.
Let y be the number of hours of yard work,
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.
Since she does yard work,
Lia’s parents allow her to work a maximum of 15 hours per week overall.
Lia’s goal is to earn at least $120 per week.
The restaurant, r pays $8 per hour
Yard work, y pays $12 per hour.
Therefore:
The system of inequalities that represent this problem is therefore:
(b)The graph of the inequality is attached below
(c)When the graph is plotted, the vertices of the feasible region are:
(5,10)
(5, 6.7)
(15,0)
Where the first term is for the number of hours worked in the restaurant.
The maximum value of r possible is 15 from the three points.
Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.
(d)Maximum Amount Lia can earn in 1 Week
At (5,10), Earning=(5X8)+(10X12)=40+120=$160
At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
At (15,0) Earning=(15X8)+(0X12)=$120
Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.
Edward buys 6 yards of fabric for $15. How much money does it cost per
yard?
Answer:
$2.5
Step-by-step explanation:
15 divided by 6 because its asking to split into groups equally
Answer:2.5
Step-by-step explanation:
Find the domain values of the function f(x)= 2x + 7 when the given range are {1, -1, 3}.
Answer:
(-3,-4,-2)
Step-by-step explanation:
You are given the y-values and want to find the x-values.
1 = 2x +7
-6 = 2x
-3 = x
-1 = 2x +7
-8 = 2x
-4 = x
3 = 2x +7
-4 = 2x
-2 = x
Make x the subject of the formula
X/2c = a+4
The value of x the subject of the formula is 2c(4+a)
What is meant by mathematical expression ?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 two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
Equation with Lines
More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
Given ,
X/2c = a+4 by simplifying ,
x=2c(4+a)
Therefore the value of x the subject of the formula is 2c(4+a)
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If p and q vary inversely and p is 19 when q is 30, determine q when p is equal to 95.
6 is the answer.
Explanation- You have to plug in, multiply, and divide using p1q1=p2q2 formula
one card is to be selected at random from a deck of cards. find the probability that the card selected is: a) a 5 b) not a 5 c) a diamond or king d) a jack or queen e) a heart and a club f) a card greater than 6 and less than 9
The probability of outcome to be a 5 is 1/13. The probability of outcome not be 5 is 12/13. The probability of outcome to be a diamond or a king is 4/13. The probability of the outcomes to be a jack or a queen is 2/13. The probability of The outcome to be a heart and a club is 0 and the probability of the outcomes to be a card greater than 6 and less than 9 is 2/13.
A deck contains a total of 52 cards.
Total outcomes if the selected number of cards is one=52
Case A:
Each suit contain one 5 numbered card. There are four suits. Therefore, The required outcome would be 4.
Probability of an outcome is the ratio of desired outcomes to the total outcomes.
The probability of outcome to be 5, P(A):
P(A)=4/52
P(A)=1/13
Case B:
The total probability of outcomes=52/52=1
The probability of the outcome to be 5=1/13
Therefore, the probability of the outcome not to be 5, P(B):
P(B)=1-(1/13)
P(B)=12/13
Case C:
Each suit carries a king. Therefore, the probability of the outcome to be a king, P(M):
P(M)=4/52
P(M)=1/13
A suit carries 13 cards. Therefore, there will be 13 cards of diamonds.
The probability of the outcome to be a diamond, P(N):
P(N)=13/52
P(N)=1/4
The probability that the outcome is a king of diamonds, P(M[tex]\cap[/tex]N):
P(M[tex]\cap[/tex]N)=1/52
Hence, the probability that the outcome is a diamond or a king, P(M[tex]\cup[/tex]N):
P(M[tex]\cup[/tex]N)=P(M)+P(N)-P(M[tex]\cap[/tex]N)
P(M[tex]\cup[/tex]N)=(1/13)+(1/4)-(1/52)
P(M[tex]\cup[/tex]N)=16/52
P(M[tex]\cup[/tex]N)=4/13
Case D:
Each suit carries a Jack. Therefore, the probability of the outcome to be a jack, P(P):
P(P)=4/52
P(P)=1/13
Each suit carries a Queen. Therefore, the probability of the outcome to be a Queen, P(Q):
P(Q)=4/52
P(Q)=1/13
The probability that the outcome is a jack and a queen, P(P[tex]\cap[/tex]Q):
P(P[tex]\cap[/tex]Q)=0/52
P(P[tex]\cap[/tex]Q)=0
Hence, the probability that the outcome is a jack or a queen, P(P[tex]\cup[/tex]Q):
P(P[tex]\cup[/tex]Q)=P(P)+P(Q)-P(P[tex]\cap[/tex]Q)
P(P[tex]\cup[/tex]Q)=(1/13)+(1/13)-0
P(P[tex]\cup[/tex]Q)=2/13
Case E:
A card is never a heart and a club. Therefore, the probability of a card to be a heart and a club is 0.
Case F:
The numbers greater than 6 and less than 9 are the numbers between 6 and 9. The numbers between 6 and 9 are 7 and 8.
Each suit carries one 7 numbered card and one 8 numbered card. There is a total of 4 suits.
Therefore the desirable outcomes=8
The probability of the outcome required=8/52
=2/13
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Jaida worked 21.5 hours last week. She earned $11.60 per hour of work.
How much money did Jaida earn last week?
$9.90
$249.40
$1.85
$33.10
Answer:
249.40
Step-by-step explanation:
How to calculate amount of work?
According to this question, Jaida worked 21 ½ hours last week and earned $11.60 per hour of work.
If Jaida earned $11.60 per hour, this means that Jaida earned 21.5 × 11.6 = $249.4.
Therefore, If Jaida worked 21½ hours last week and earned $11.60 per hour of work. The amount of money Jaida earned last week is $249.4.
0.3(4 − x) = x − 1.4?
Answer:
x is equal to 2
Step-by-step explanation:
simplify the equation
distribute the 0.3
0.3*4-0.3x=x-1.4
1.2-0.3x=x-1.4
get x by itself on one side
1.2+1.4=x+0.3x
simplify
2.6=1.3x
2=x
Kareem is going to Florida. The cost for two different vacation packages is shown below. Florida Vacation Packages Expenses Roundtrip Airfare Cost Hotel Cost (per night) Let h Hotel Cost Let C = Cost of package Package A $150 $55 Package B $210 $40 8. Write a system of two equations that could be used to find out the price of package A and package B. 9. How many nights would Kareem need to stay in a hotel to pay the same amount for either vacation package? Show your work.
8) A system of two equations that could be used to find out the price of package A and package B are;
C = 150 + 55h
C = 210 + 40h
9) The number of nights Kareem would need to stay in a hotel to pay the same amount for either vacation package is; 4 nights
How to solve simultaneous equation word problems?We are told that Kareem is going to Florida and the cost for two different vacation packages is;
Package A
Roundtrip Airfare Cost = $150
Hotel Cost (per night) = $55
Package B;
Roundtrip Airfare Cost = $210
Hotel Cost (per night) = $40
A) Now, if h represents Hotel Cost and C represents Cost of package, then we have;
For package A;
C = 150 + 55h ------(1)
For package B;
C = 210 + 40h ------(2)
9) The number of nights Kareem would need to stay in a hotel to pay the same amount for either vacation package is;
150 + 55h = 210 + 40h
210 - 150 = 55h - 40h
60 = 15h
h = 60/15
h = 4
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Find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
- 7/6 , (3, -1)
The equation of the straight line having gradient -7/6 with the point on the line as (3,-1) is y [tex]=[/tex] (-7/6)x [tex]+[/tex] 5/2 .
In the question ,
it is given that
the gradient (slope) of the required line is -7/6 ,
and the coordinate of point on the line is (3 , -1) .
We know that the equation of the line passing through the points (x₁ , y₁) with gradient(m) is given by the formula
(y - y₁) = m(x - x₁)
So , the equation of the straight line will be written as
(y -(-1)) = (-7/6)(x - 3)
y + 1 = (-7/6)(x - 3)
y + 1 = (-7/6)x + 7/2
y = (-7/6)x + 7/2 -1
y = (-7/6)x + 7/2 - 2/2
y = (-7/6)x + 5/2
Therefore , the equation of the straight line is y [tex]=[/tex] (-7/6)x + 5/2 .
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Describe the x-values for which (a) f is increasing or decreasing, (b) f(x) > 0 and (c) f(x) < 0
(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].
(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point (x = 2)
(c) The function f(x) is less than 0 when [x < (-1)]
In the reference attachment attached along with the question statement, we are provided with a graph of a certain function "f",
And as per the question statement, we are required to determine the x-values for the following:
(a) for which "f" is increasing or decreasing,
(b) [f(x) > 0]
(c) [f(x) < 0]
From the graph, it is very clear that, the slope is rising from [(-∞) < x ≤ 0] and [2 < x < ∞], while, declining from [0 < x ≤ 2] of the x-axis. Therefore,
(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].
(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point (x = 2)
(c) The function f(x) is less than 0 when [x < (-1)]
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What is 33 1/3% of $2,940
Answer:
$980
Step-by-step explanation:
33 1/3% x
------------ = ------------- Cross multiply
100% $2,940
33 1/3 x 2,940 = 100x Multiply
98000 = 100x Divide 100 to both sides
980 = x
Can someone help me really quick
(Please Explain how you know this is correct.)
$0.4 is the price per gallon at Miguels gasoline station
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Six customers are buying Gasoline at Miguels gasoline station.
Gasoline bought is marked on x axis and cost on the y axis.
We need to find price per gallon at Miguels gasoline station
If gasoline bought are 4 then cost is 10
Four divided by ten is zero point four.
4/10=0.4
Hence $0.4 is the price per gallon at Miguels gasoline station
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A, B, C and D lie on a circle a centre O. AB=7cm BC=10cm and angle ABD=77%.
AOC is a diameter of the circle
Answer:
4
Step-by-step explanation:
1
