Sal is cooking for a party. He opens a 11 lb bag of sugar. He uses 2/5 lb of the sugar for pies and another 3/8 lb of the sugar for cookies. How much sugar is left in the bag?
Answers
Answer:
9/40 lb
Showing My Work:
2/5 and 3/8 don't have common denominators. So to change that, we have to multiply:
2/5 * 8/8 = 16/40
3/8 * 5/5 = 15/40
Then, we take both of these away from the bag's quantity (40/40)
40/40 - 15/40 - 16/40 = 9/40
Related Questions
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
Need some help pleas
Answers
Answer:
80%
Step-by-step explanation:
If you divide 52 by 65 you will get a decimal, then multiply by 100% to get the equivalent.
52/65 = 0.8
0.8 x 100 = 80%
The difference of -10 and the product of p and q
Answers
The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10
Writing the algebraic expression in algebraic notationFrom the question, we have the following parameters that can be used in our computation:
The difference of -10 and the product of p and q
The numbers are given as
p and q
The product of p and q means pq
So, we have the following
The difference of -10 and pq
The difference of -10 and pq means
pq + 10
Hence, the expression is pq + 10
Read more about expression at
brainly.com/question/4344214
#SPJ1
If s(x) = 2x² and f(x) = 3x, which value is equivalent to (s-f)(-7)?
O-439
O-141
O 153
O 443
Answers
The value of expression (s - f) (- 7) would be,
⇒ (s - f) (- 7) = 119
We have to given that,
Functions are defined as,
⇒ s (x) = 2x²
⇒ f (x) = 3x
Now, We can find the value of (s - f) (- 7) is,
⇒ (s - f) (- 7)
⇒ s (- 7) - f (- 7)
⇒ 2 (- 7)² - (3 × - 7)
⇒ 2×49 + 21
⇒ 98 + 21
⇒ 119
Therefore, The value of expression (s - f) (- 7) would be,
⇒ (s - f) (- 7) = 119
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
The design for a small counter top
is shown. What is the perimeter and
area of the counter top?
Answers
Answer:
P = 22 ft
A = 18 ft²
See picture
Step-by-step explanation:
The perimeter is all the sides added together. You have to find the missing values. The missing vertical value is 2.5 (4-1.5). The missing horizontal value is 4 (7-3).
Add all the sides together for the perimeter.
Split the shape into 2 rectangles to find the area. Find the area of each rectangles, then add them together to find the total area.
Consider the line y=3x-1what is the slope of a line parallel to this lineWhat is the slope of a line perpendicular to this line?
Answers
Consider the line y=3x-1
what is the slope of a line parallel to this line
What is the slope of a line perpendicular to this line?
we know that
If two lines are parallel, then their slopes are equal
so
Part 1) what is the slope of a line parallel to this line
the slope of the given line is m=3
therefore
the slope of the parallel line is m=3
Part 2)
If two lines are perpendicular, then their slopes are opposite reciprocal
therefore
the slope of the perpendicular line is m=-1/3
What is the slope of the line shown below
Answers
Answer:
Option:C 2/3
Equation= y=2/3x-5
Answer:
2/3
Step-by-step explanation:
to find slope m, use this method
m=(y2-y1)/(z2-x1)
therefore m=(1-(-7))/((9-(-3))
m=8/12.
m=2/3
2x+7x=77
5x+7y=115
solve for x & y that makes both expressions true.
Answers
The solution that makes both expressions true is x = 8.55556 and y = 10.31746.
To solve for x and y, we need to use a system of equations involves finding the values of x and y that satisfy both equations simultaneously.
We can start by using the first equation to solve for x:
2x + 7x = 77
Combining like terms:
9x = 77
Dividing both sides by 9:
x = 8.55556 (rounded to six decimal places)
Now that we know the value of x we can use either equation to solve for y. Let's use the second equation:
5x + 7y = 115
Substituting x = 8.55556:
5(8.55556) + 7y = 115
Simplifying:
42.7778 + 7y = 115
Subtracting 42.7778 from both sides:
7y = 72.2222
Dividing both sides by 7:
y = 10.31746 (rounded to six decimal places)
For similar questions on expressions
https://brainly.com/question/1859113
#SPJ11
5. Find the time in which the loan of N3,900 at the rate of 5% yields N585=
6 What time will the simple interest N70,000 at the rate of 7% be used
for a loan of N20,000.00=
7.If N300.00 amount to N390 at the rate of 3%. Find the time.=
8.The simple interest on N5600.00 in 1 year is N80.00, find the rate percent per annum=
9.What year will N5100 yield an interest of N170.00 at the rate of 2 1/2 per annum=
10.What rate per annum will N4,600 yield an interest of N230.00 for 2 years=
11. What time will N8100 yield an interest of N729 at the rate of 9% per annum=
12.Report from the bank says the interest on N2300 is N23.00 for 2 years find the rate of interest per annum.=
Answers
Therefore, the rate per annum at which N4,600 will yield an interest of N230 for 2 years is 2.5%.
What is percent?Percent is a term used to describe a fraction or ratio that represents a portion of 100. It is often represented by the symbol % and is commonly used to express a portion or a rate of change. For example, if an item is discounted by 20%, it means the price has been reduced by 20% of the original price or 20/100 of the original price. Similarly, if someone earns a grade of 85% on a test, it means they answered correctly 85 out of 100 questions.
Here,
7. To find the time (in years) in which a loan of N3,900 at the rate of 5% yields N585.60 in simple interest, we can use the formula:
I = P * r * t
where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
Substituting the given values, we get:
585.60 = 3,900 * 0.05 * t
Solving for t, we get:
t = 3 years
Therefore, it will take 3 years for the loan of N3,900 at the rate of 5% to yield N585.60 in simple interest.
8. To find the time (in years) for a loan of N20,000 at the rate of 7% to accumulate N70,000 in simple interest, we can use the formula:
I = P * r * t
where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
Substituting the given values, we get:
70,000 = 20,000 * 0.07 * t
Solving for t, we get:
t = 50 years
Therefore, it will take 50 years for the loan of N20,000 at the rate of 7% to accumulate N70,000 in simple interest.
9. To find the time (in years) for N300 to accumulate to N390 at the rate of 3%, we can use the formula:
I = P * r *t
where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
Substituting the given values, we get:
90 = 300 * 0.03 * t
Solving for t, we get:
t = 10 years
Therefore, it will take 10 years for N300 to accumulate to N390 at the rate of 3%.
10. To find the year in which N5,100 will yield an interest of N170 at the rate of 2.5% per annum, we can use the formula:
I = P * r * t
where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
Substituting the given values, we get:
170 = 5,100 * 0.025 * t
Solving for t, we get:
t = 2 years
Therefore, it will take 2 years for N5,100 to yield an interest of N170 at the rate of 2.5% per annum. If the interest is compounded, we would need to use the compound interest formula instead.
11. To find the rate per annum at which N4,600 will yield an interest of N230 for 2 years, we can use the formula:
I = P * r * t
where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
Substituting the given values, we get:
230 = 4,600 * r * 2
Solving for r, we get:
r = 0.025 or 2.5%
To know more about percent,
https://brainly.com/question/29172752
#SPJ1
HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)
Answers
Answer:
\(\frac{x2}{a} - \frac{y2}{b2} = 1\)
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
\(\frac{X2}{16} - \frac{b}{4} = 1\)
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola:
\(\frac{x2}{a2} - \frac{y2}{b2} = 1\)
\(\frac{x2}{16} - \frac{b2}{4} = 1\)
Help meeeee please: math
Answers
The expression for the number of trees in each row is t/42
How many trees will he plany in each row?We know that Mr. Delgado wants to plant some trees on 42 rows, such that each each row has the same number of trees.
Now we also know that there are t trees in total, so if we divide them evenly between the 42 rows (so each row has the same number of trees), then the expression for the number of trees in each row will just be:
t/42
Learn more about divisions at:
https://brainly.com/question/941863
#SPJ1
56 is what percent of 72
Integer fraction or mixed number
Answers
Answer:
The resulting percentage is seventy seven and seven ninths, or approximately 77.78%
Step-by-step explanation:
You can solve this by dividing 56 by 72 and multiplying by 100:
56 / 72 × 100
= 7 / 9 × 100
≅ 0.7778 × 100
≅77.78%
calculate the binomial fractoristation xyz - 5y2z
Answers
Answer: y^2z^2*(6xz^2-y)
Step-by-step explanation:
please help with these questions it's due tommore
Answers
7:
To find 6% of 45.50=
0.06x45.50= 2.73
and than 17% of 45.50
0.17x45.50= 7.735
so add 2.73 and 7.735= 10.465
than add 10.465 to $45.50 = $55.965 So the answer is $55.965.
8:
again the same thing but with the different numbers.
0.06x105.75= 6.345
0.20x105.75= 21.15
21.15+6.345= 27.495
so than 105.75-27.495= $78.255
9:
same thing again
146.75x0.25= 36.6875
0.09x146.75= 13.2075
But this time add the tax (13.2075)= 146.75+13.2075= 159.9575
but than you subtract the discount which is 25% so 159.9575-36.6875=123.7
So that is the price! $123.7
I hope that helps!
Write an algebraic expression to represent the given phrase. Use x as the variable to
represent the unknown quantity.
8. The sum of a number and 20
9. The product of a number and 20
10. The quotient of 20 and a number
11. The difference of a number and 20
Choices for 8-11:
A) 20-x
D) x + 20
B) 20x
20
X
E)
C) X-20
X
20
AB)
Answers
Answer:
8) x + 20
9) 20x
10) 20/x
11) x-20
Step-by-step explanation:
8) x + 20
9) 20x
10) 20/x
11) x-20
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answers
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
Can someone help me please?
Answers
Answer:
64/100 or 0.64 :)
Step-by-step explanation:
It seems that the square has 100 small squares in total. Out of those small squares, 64 are green.
64/100 = 0.64
determine if the figures below are similar. if they are, identify the similarity statement.
Answers
Answer:
Yes the are similar, they are similar because they have the same angles. They are the same shape as each other, just dilated.
painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?
Answers
Answer:
this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2
b^2 = 512, so b = sqrt(512) = 22.6
On application Rs. 30 On allotment Rs. 40 A Company with an authorized capital of Rs.10,00,000 invited applications for 5,000 share of Rs.100 each at 10% premium. The amounts were payable as follows: On first and final call Rs. 40 There was over subscription and applications were received for 10,000 shares. Allotmen of shares was made as under: To Applicants for 2,000 shares To Applicants for 3,000 shares. To Applicants for 4,000 shares. To Applicants for 1,000 shares. Excess money paid on application was adjusted against sum due on allotment and first and final call. All monies were duly received. ed: Journal entries 1,000 shares allotted 1,000 shares allotted 3,000 shares allotted Nil Ans.: Excess application money transfer to share allotment Rs.1,00,000 and share first and final call Rs.20,000
Answers
The journal entries to record the receipt of the application money and its allotment to share capital and Allotment Account are as follows:
Journal Entries:Debit Cash Rs. 300,000
Credit Share Application Account Rs. 300,000
(To record the receipt of the money on application)
Debit Share Application Account Rs. 300,000
Credit Share Capital Rs. 150,000
Credit Share Allotment Account Rs. 150,000
(To record the transfer of the application money to the Share Capital and the Allotment accounts, respectively.)
What are journal entries?Journal entries are the initial records kept of business transactions.
Journal entries are made as transactions occur on a daily basis.
Transaction Analysis:Authorized capital = Rs. 1,000,000
The number of shares issued = 5,000
The par value = Rs. 100
The premium = Rs. 10 (Rs. 100 x 10%)
The issuance price per share = Rs. 110 (Rs. 100 + Rs. 10)
The expected amount to be received on application = Rs. 30 per share
The number of applications received = 10,000
Application money = Rs. 300,000
Excess Application = Rs. 150,000
Cash Rs. 300,000
Share Application Account Rs. 300,000
Share Application Account Rs. 300,000
Share Capital Rs. 150,000
Share Allotment Account Rs. 150,000
Learn more about journal entries at https://brainly.com/question/28390337
#SPJ1
Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = - ⅔ x + 3. (10 points)
A. y = 3 over 2x − 3
B. y = 3 over 2x + 3
C. y = -2 over 3 x + 23 over 3
D. y = -2 over 3 x - 23 over 3
Answers
Answer:
below
Step-by-step explanation:
that is the procedure above
Every day, Lebron's hot dog cart uses 1.25 pounds of ketchup. For how
many days will 8.75 pounds of ketchup last?
Answers
Explanation - You need to divide 8.72 by 1.25 because he uses 1.25 everyday. So if you divide 8.75 by 1.25 you get 7.
What's the two numbers that round to the greatest place value have an estimated sum of 11000 and an estimated difference of 3000,then find the exact sum and the exact difference provide a detailed explanation as to how you reached your answers and why they will work
Answers
Answer:
hi
Step-by-step explanation:
hi hi hi hi hi hi hi.........
Find m
A)36
B)80
C)56
D)44
E)124
Answers
Answer:
44
Step-by-step explanation:
vertical angles
Two standard 6-
sided dice are
rolled. How would
you describe the
following events
of having their
sum be EVEN OR
GREATER THAN 9?
Answers
The probability of having an even or a number greater than 9 is 2/3.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.
The sample space of two 6-sided dice would be 36
Of this 36, there would be 18 which would have an even sum.
There would be 6 with a sum greater than 9.
The probability of having an even or a number greater than 9 = (18/36) + (6/36) = 24 / 36 = 2/3
Please find attached an image of the sample space used in answering this question. To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
Answer:
5/9
Step-by-step explanation:
You want the probability that a roll of 2 dice will produce a sum that is even or greater than 9.
EvenHalf the numbers on each die are even. Their sum will be even when the dice show ...
even + even . . . . p = (1/2)(1/2) = 1/4
odd + odd . . . . . . p = (1/2)(1/2) = 1/4
So, the 36 possible outcomes will produce an even sum (1/4) +(1/4) = 1/2 of the time. That is, there are 1/2(36) = 18 outcomes with an even sum.
Greater than 9The sums that are greater than 9 are 10, 11, 12. Of these, 10 and 12 are outcomes that are even, so are already counted.
The sum 11 can be made two ways: 6 +5 or 5 +6.
So, "or greater than 9" adds 2 outcomes to the 18 we have already counted.
Final tallyThe final tally of outcomes of interest is ...
18 + 2 = 20 . . . . of 36 possible outcomes
That is ...
P(even or >9) = 20/36 = 5/9
<95141404393>
Answer 70 Points!
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago.
The following table shows the approximate number of tiger gars living in the lake since 2016
This is an example of Exponential _________.
A. Decay
B. Growth
Answers
Answer:
Step-by-step explanation:
Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answers
Answer:
A
Step-by-step explanation:
To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:
First, let's simplify the division 3 11 5 ÷ 3:
3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.
Next, let's subtract 9 5 from the result we obtained:
115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.
Therefore, the simplified expression is 70.
The correct answer is A. 70.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5
We have to given that;
the terminal side of theta in standard position contains the point (6,-8)
Hence, For given condition we get;
The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,
Here, x = 6, y = - 8
Hence, We get;
r = √x² + y²
r = √6² + 8²
r = √36 + 64
r = √100
r = 10
So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,
cos θ = x / r
cos θ = 6 / 10
cos θ = 3 / 5
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ1
Shirley is 21 years older than Laura. In six years, Shirley will be twice as old as Laura. How old are they each now? Solve by first creating a system of equations and then solving the system of equations. Be sure to define clearly each variable used.
Answers
Answer:
7 1/4 years old I think
Step-by-step explanation:
Which is equivalent to 80 Superscript one-fourth x? (StartFraction 80 Over 4 EndFraction) Superscript x RootIndex 4 StartRoot 80 EndRoot Superscript x RootIndex x StartRoot 80 EndRoot Superscript 4 (StartFraction 80 Over x EndFraction) Superscript 4
whoever can answer this gets brainliest
Answers
The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)
How to calculate the valueTo determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:
\(80/4^{x}\)
This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.
Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.
\(80/x^{4}\)
This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.
Therefore, the expression that is option d.
Learn more about expressions on
https://brainly.com/question/723406
#SPJ1