Lola used 15/4 or [tex]3 \frac{3}{4} [/tex] cups of rice for pudding.
Amount of rice Lola has = [tex]4 \frac{1}{2} [/tex] cups
Converting from mixed fraction to improper fraction
Amount of rice Lola has = (2×4 + 1)/2
Amount of rice Lola has = 9/2 cups
Now, to find the amount of rice used for rice pudding, we will simply subtract the rice left with her after being used for sushi rolls.
Amount of rice used for pudding = Amount of rice Lola has - Amount of rice used to make sushi rolls
Amount of rice used for pudding = 9/2 - 3/4
Performing subtraction to find the amount of rice used for pudding
Taking LCM we get 4
Amount of rice used for pudding = (9×2 - 3)/4
Amount of rice used for pudding = (18 - 3)/4
Amount of rice used for pudding = 15/4
In mixed fraction, the amount of rice used for pudding = [tex]3 \frac{3}{4} [/tex]
Hence, Lola used 15/4 or [tex]3 \frac{3}{4} [/tex] cups of rice for pudding.
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Please help me solve this please
Answer:
Step-by-step explanation:
what is the question>
Pls read to picture below
Answer:
1) 6a
2) 8
3) 18a
Step-by-step explanation:
1) [tex] \sf {2a}^{ - 1} \times {3a}^{2} [/tex]
Simplify using exponent rule with the same base
[tex] \sf \: 2 \times {3a}^{ - 1 + 2} [/tex]
Multiply the monomials
[tex] \sf \: 6a {}^{ - 1 + 2} [/tex]
Calculate the sum or difference.
[tex] \sf \: {6a}^{1} [/tex]
Calculate the power
[tex] \sf \: 6a[/tex]
2) [tex] \sf( \frac{1}{2} ) {}^{ - 3} [/tex]
simplify using negative exponents rule [tex] \sf {a}^{-n} = \frac{1}{{a}^{n}} [/tex]
[tex] \sf {2}^{3} [/tex]
calculate the power
[tex] \sf \: 8[/tex]
3) [tex] \sf {2a}^{ - 1} \times {(3a)}^{2} [/tex]
Simplify using exponents rule with the same exponent
[tex] \sf {2a}^{-1} × {3}^{2} × {a}^{2}[/tex]
Simplify using exponents rule with the same base a ^ n + a ^m = a ^n+m
[tex] \sf 2×{3}^{2} ×{a}^{-1+2} [/tex]
Calculate the power
[tex] \sf 2 × 9a {}^{-1+2}[/tex]
[tex] \sf 18a[/tex]
2(I) We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.
8348 = 8350(rounded to 3 SF)
2(ii) 0.00796 = 0.0080
2(II) 6.329 = 6
2(III) 0.05684 = 0.0568
Step-by-step explanation:
1.i
2a^-1 × 3a²
remember, when we multiply factors with the same base value or variable, we keep that base value or variable and simply add the exponents.
-1 + 2 = 1
so, we get
2×3 × a¹ = 6a
1.ii
(1/2)^-3
remember, the "-" on the exponent just means 1/...
so, it is actually
1 / (1/2)³ = 1 / 1/8 = 8
1.iii
2a^-1 × (3a)²
similar to the first one, but remember, when we put the product of factors to a certain power, we need to do this for every factor of the inner multiplication :
2a^-1 × 9a² = 2×9 × a¹ = 18a
2.
the first significant figure is the first digit in the number reading from the left, that is not 0. it can be before or after the decimal point.
any digit (now continuing to read further to the right) after the first significant figure is again a significant figure even if it is 0.
i.
8.348 is rounded to 3 significant figures : 8.35
ii.
0.00796 is rounded to 2 significant figures :
0.0080 or 0.008 (because if the last digit after the decimal point is a 0, we can ignore it).
iii.
6.329 is rounded to 1 decimal place : 6.3
iv.
0.05684 is rounded to 3 decimal places : 0.057
3.
the sum of interior angles in a polygon is (n − 2) × 180°. where n is the number of sides.
as deca stands for 10, a decagon has 10 sides and 10 vertexes.
the sum of its inner angles is
(10 - 2) × 180° = 8 × 180° = 1440°
1170° of that is already covered by the first 7 angles.
so, we have left
1440 - 1170 = 270°
for the remaining 3 angles (that are all equal).
so,
270 = 3×angle
angle = 270/3 = 90°.
so, all of the 3 remaining angles are 90°.
What is an equation of the line that passes through the
points (2, -3) and (2, 6)?
Answer: It is the point where the line crosses the x axis of the cartesian coordinates. We can write an equation of the line that passes through the points y=0 as follows: Using the equation: y = 3x – 6, put y=0. To find the x-intercept. 0 = 3x – 6. 3x = 6. The x-intercept is 2 of the slope-intercept form of line
Which statements are true? Select the five correct answers.
Answer: I guess?
Step-by-step explanation:
Need help with the introduction to probability lesson, photo is attached below.
Answer:
For A.) there are only 2 so 2/8 would become0.25
B.) 4 even number 4/8= 1/2 = 0.50
C.) 1 Red 1/8= 0.125
D.) 5 Not blue 5/8 = 0.625
E.)3 Blues 3/8= 0.375
F.) 0 because there are no 9 so it's not possible
Step-by-step explanation:
2/3+3/5 dont mind this i just need help
The result of the expression given as 2/3+3/5 is: 19/15
To solve this exercise we have to perform a mathematical operation of division with fractions:
2/3+3/5
We apply the least common multiple of the denominators and we get:
Least common multiple of denominators: 3*5 = 15
[(15/3)*2 + (15/5)*3] / 15
[(5*2) + (3*3)] / 15
(10 + 9) / 15
19/15
What is a fraction?
Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
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A formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon of white paint. Does Liam have enough white paint to make 8 gallons of light green paint?
Yes, 9/16 gallon of white paint is enough for Liam to make 8 gallons of light green paint.
How do you defined the term unitary method?It is a method for estimating the value of a single unit from of the value of multiple units, as well as the value of multiple units from of the value of a single unit. With in unitary method, we everytime count the value of a unit one or quantity first, and then calculate the values of more or lesser quantities.For the given conditions; use unitary method.
3/8 gallons white paints ------> 6 gallons of light green paint.
Thus, from 1 gallons of white paint.
1 gallons white paints ------> (6×8)/3 gallons of light green paint.
For preparing 8 gallons of light green paint, multiply both side of equation by 9/16.
9/16 gallons white paints ------> (6×8)/3 × (9/16) gallons of light green paint.
on solving.
9/16 gallons white paints ------> 9 gallons of light green paint.
The requires value for light green paint is 8 gallons, we have prepared more than that that is 9 gallons.
Thus, Liam has sufficient white paint to make 8 gallons of light green paint.
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what is the difference between 25 and 21.2?
Answer: 3.8
Step-by-step explanation:
25.0
-
21.2
--------------
3.8
How to solve it??? Which formula to be use. Also which sides would be taken??
The values of x and y are x = 45/7 and y = 42/5
How to determine the values of x and y?To calculate the value of x
Here, we make use of the ratio
AC : BC = AQ : QP
This gives
x : 5 = x + 9 : 12
Express as fractions
x/5 = x + 9/12
Cross multiply
12x = 5x + 45
Evaluate the like terms
7x = 45
Divide by 7
x = 45/7
To calculate the value of y
Here, we make use of the ratio
AB : BC = AP : PQ
This gives
6 : 5 = 6 + y : 12
Express as fractions
6/5 = 6 + y/12
Cross multiply
30 + 5y = 72
Evaluate the like terms
5y = 42
Divide by 5
y = 42/5
Hence, the values of x and y are x = 45/7 and y = 42/5
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Graph the inequality.
y ≥ |x+5|-3
The graph that represents the inequality is graph b
Graph of inequalitiesFrom the question, we are to graph the given inequality
The given inequality is
y ≥ |x+5|-3
To graph the inequality, we will write the inequality as an equation and we will find some of the points on the line
When x = 0
y = |x+5|-3
y = |0+5|-3
y = |-3
When y = 0
y = |x+5|-3
0 = |x+5|-3
0 = (x + 5) - 3 and 0 = -(x + 5) -3
3 = x + 5
x = 3- 5
x = -2
and
0 = -(x + 5) -3
x + 5 = -3
x = -3 - 5
x = -8
The graphs that has the points above are graphs b and d.
Since the inequality sign is ≥ when y is the subject, the solution to the inequality is above the lines.
Hence, the graph of the inequality is graph b.
The graph of the inequality is shown below
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What is 1+1 answer please despite
Answer:
2...?
Step-by-step explanation:
Convert 6 hours into weeks. Round your answer to the nearest hundredth.
Answer:
6 Hours = 0.0357 Weeks
Rounding off o nearest hundredth we get
=> 0.36
All done!
What is the greatest common factor of 16, 44, and 28?
Answer:it is 4
4*4=16,4*11=44, 4*7=28
Step-by-step explanation:
The greatest common factor of 16, 44, and 28 is 4.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, are three numbers 16, 44, and 28.
All numbers are divisible by 2 but it is not GCD.
The GCD of three numbers 16, 44, and 28 is 4 as 4 is the highest number
that cam divides each of these numbers.
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Mr.Myers picked 13 1/8 bushels of red delicious apples and 27 2/8 bushels of golden delicious apples. How many bushels of apples did he pick ?
Answer:
40 3/8 bushels of apples
Step-by-step explanation:
13 1/8 bushels and 27 2/8 bushels
13 1/8 + 27 2/8 =
(13 + 27) = 40
(1/8 + 2/8) = 3/8
40 3/8
A hardware store sells planks of wood. the lengths, in centimetres, of the planks are normally distributed with mean 210 and standard deviation 7. two planks are selected at random. find the probability that they differ in length by more than 10 cm.
The required probability that they differ in length by more than 10 cm is 1.
Given that,
A hardware store sells planks of wood. the lengths, in centimeters, of the planks are normally distributed with a mean of 210 and a standard deviation of 7. two planks are selected at random. find the probability that they differ in length by more than 10 cm is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The
P(x > 10) = p(z = (x - μ)/σ)
P(x > 10) = p(z = (10 - 210)/7)
P(x > 10) = p(z = -28.57143)
P(x > 10) = 1
Thus, the required probability that they differ in length by more than 10 cm is 1.
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how do put this 7+2x=11+5x
i need this done help i need all the work shown
A submarine starts at 0 units and has groups of 3 floats and groups of 4 anchors attached.
Using these groups of floats and anchors, write as many different expressions as you can that would make the submarine's final position -5 units.
The following are three equivalent expressions for the submarine's final position:
-(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)
What is defined as the equivalent expressions?Equivalent expressions have been expressions that perform the same function despite their appearance. If 2 algebraic expressions have become equivalent, they have the same value when the same value(s) for variable are used (s).Equivalent Expressions Examples:3(x + 2) and 3x + 6 have been equivalent expressions since their values remain constant for any value of x.Based on the question,
Each float advances by 5 units.Each group takes a two-unit step.As a result, the submarine's final position is:
Final = -(5)(3) - (2)(4)
The minus "-" symbol indicates that the submarine is sinking.
Thus, the following are equivalent expressions for the submarine's final position:
-(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)
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√a² + b² = a + b
is this true or false? i think its true but i cant explain it right
Answer:
False
Step-by-step explanation:
Consider a=3 and b=4. The left hand side is 5 but the right hand side is 7.
3x + 2.3 = 11.6 help please
Solution:
[tex]x=3.1[/tex]
Hope this helps!
Answer:
x = 3.1
Step-by-step explanation:
3x + 2.3 = 11.6
3x = 11.6 - 2.3
3x = 9.3
x = 9.3/3
x = 3.1
Check:
3*3.1 + 2.3 = 11.6
9.3 + 2.3 = 11.6
What is the value of cosine (startfraction 4 pi over 3 endfraction)? negative startfraction startroot 3 endroot over 2 endfraction negative one-half one-half startfraction startroot 3 endroot over 2 endfraction
The value of Cos(4π/3) is (-1/2) i.e., negative one half.
The given function is Cosine (Start fraction 4 pi over 3 end fraction) and this can be written simply as,
Cos(4π/3)
On splitting 4π/3 in two parts, this can also be written as
= Cos(π + (π/3))
(π + (π/3)) lies in the third quadrant and in the third quadrant the value of cosine function is negative. So, using quadrant sign for cosine function, this can be written as
= -Cos(π/3)
Now, Substitute the value of Cos(π/3) = 1/2.
= (-1/2)
Cos(4π/3) = (-1/2)
The value of Cos(4π/3) is (-1/2) i.e., negative one half.
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Answer:
It's B
Step-by-step explanation:
5/6 - 1/9 = ?/? - ?/? = ?/?
please help 20 points
i need to know what each ( ?/? ) is
5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is
5/6 -1/9 =15 /18 -2/18 =13 /18.
As given,
5/ 6 - 1/9 =?/? -?/? =?/?
Convert the given terms into like terms
Least common multiple of (6,9)=18
Value of each ( ?/?)
(5/6 ) × ( 3/3) -(1/9) × (2/2)
= 15 /18 - 2/18
= 13 /18
Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to
5/6 -1/9 = 15 /18 -2/18 = 13/18.
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Adding -6 is the same as:
Answer:
It is the same as subtracting 6.
Step-by-step explanation:
1 + (-6) = 5
1 - 6 = 5
i need help because i dont gettt itttt
Answer:
[tex]\boxed{3} \;v^2 + \boxed{4}\;v + \boxed{5}[/tex]
Step-by-step explanation:
Original expression: 3 + v + 4v² + 2 - v² +3v
Combining like terms in a equation means grouping them together to get a single instance of that term instead of multiple
For example in this expression we can see there is a +4v² and a -v². Group these together and simplify algebraically to get a single v² expression. Do the same with the others.
3 + v + 4v² + 2 - v² +3v
Group the v² terms together to get 4v² - v² = 4v² - 1v² = 3v² (v² == 1v²)
(since the variables are same we can simply add the coefficients
Now group the v terms and simplify
3 + v + 4v² + 2 - v² + 3v
v + 3v = 4v
Finally group the constants
3 + v + 4v² + 2 - v² +3v
3 + 2 = 5
So the final expression is
3v² + 4v + 5
The numbers are what you put in the boxes for each
Usually this process is done in a few steps
3 + v + 4v² + 2 - v² +3v
= (4v² - v²) + (v + 3v) + (3 +2)
= 3v² + 4v + 5
If the interest rate is 12.5 percent, what is the present value of $200 received in one year?
177.78 is the present value of $200 received in one year.
What do interest rates mean?
An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.What is an example of interest rates?
The basic interest formula is as follows, for instance, if you take out a $20,000 loan with a five-year term and a 5% interest rate: $5,000 in interest results from multiplying $20,000 by.05 by 5.
PV=FV * (1+i)^-n
=200\1.125
= 177.78
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30 POINTS
Write and solve an absolute value equation for the minimum and maximum times for an object moving at the given speed to travel the given distance. Absolute value 3 ft. 10 ft/s for 30 ft
Answer:
Step-by-step explanation:
12
please help thank you!!
2^5/4 = 2^5/2^a = c
a= b= c=
What are the answers pls
Answer:
mass of 1 mole 2^5/4=2^5/2a=c=0g
Step-by-step explanation:
Please help me!!! I need help asap on this question Whoever is correct will get brainly!
Answer:
I am not 100% sure more like 12% sure that it is c
Step-by-step explanation:
-8(1-a)=-8(a-7) solve the equation
Answer:
a=4
Step-by-step explanation:
