Answers
================================================
Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]
Do the same for the other mixed number 2 & 1/3.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]
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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.
[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]
The last step is to convert that result to a mixed number.
[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]
Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
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Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.
Related Questions
A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.
Answer the questions below. Do not do any rounding.
(a) How many milliliters of acid are in the resulting mixture?
(b) What percentage of the resulting mixture is acid?
Answers
Answer:
85% acid
Step-by-step explanation:
The amount of acid is 83.75 milliliters
The percentage of the resulting mixture of acid is 67%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.
This means,
75% of 100 milliliters = 75/100 x 100 = 75 milliliters
35% of 25 milliliters = 35/100 x 25 = 8.75 milliliters
Now,
The amount of acid is (75 + 8.75) = 83.75 milliliters
The percentage of the resulting mixture of acid.
= 83.75 / (100 + 25) x 100
= 83.75/125 x 100
= 67%
Thus,
The amount of acid is 83.75 milliliters
The percentage of the resulting mixture of acid is 67%
Learn more about percentages here:
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Answers
(a+b)^2 = a^2+2ab+b^2
(a+b)^3 = a^3+3a^2b+3ab^2+b^3
PHOTO MATH (app) , it’s really helpful.
You are running a fuel economy study. One of the cars you find is blue. It can travel 30 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 27 1/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answers
You are running a fuel economy study. One of the cars you find is blue. It can travel 30 and one half miles30 1 2 miles on 1 and one fourth gallons1 1 4 gallons of gasoline. Another car is red. It can travel 25 and three fifths miles25 3 5 miles on four fifths gallon 4 5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon1 gallon of gasoline?
Blue car: 30.5 / 1.25 =24.4 miles per gallon
Red car: 25.6/0.80 =32 miles per gallon
You can easily see that the Red car travel farther on 1 gallon of gasoline.
Answer:
The unit rate for the blue car is 24 2/5 and The unit rate for the red car is 34
Given that a = 4 and b = 6, find the value of a+b
Answers
Answer:
10
Step-by-step explanation:
We know that a = 4 and b = 6, and we are trying to find the answer to both of them added, so to get a + b, we can substitue the values of a and b by their numbers. So,
a + b
Is the same as
4 + 6, which equals 10.
Therefore, the value of a+b is 10
Hope this helps :)
Kylie signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph below. What does the slope of the line represent?
Answers
Answer:
we need the linear graph ._.
Step-by-step explanation:
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answers
You divide the amount of wire by cost, and multiply that by 41
Answer:
1.61
Step-by-step explanation:
72/18 = 4cents per inch
4*41 = 161
1.61$
ISOSCELES
EQUILATERAL
SCALENE
Answers
Answer:
scalene because all the angles are different in an isosceles triangle 2 angles are the same
Answer:
Scalene triangle
Step-by-step explanation:
the answer is the scalene triangle
pls help im really bad at math no links pls
Answers
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]-\frac{5}{6} +\frac{6}{18}[/tex]
[tex]-\frac{5}{6} +\frac{2}{6}[/tex] reduced
[tex]\frac{-5+2}{6}[/tex] transformed the expression to make it easier
[tex]-\frac{3}{6}[/tex] add
[tex]-\frac{1}{2}[/tex] reduce
Please help me solve this
Answers
17
1 point
Write the equation of the line that passes through the points (-2.3) and (-2.5).
Answers
Answer:
pa pic nyou nalang kung may pic plss
(1 – xi)(5 – i) – (1 + 3xi)(5 – i)
-
Simply
Answers
Answer:
-20xi -4x
Step-by-step explanation:
I forgot how to do this. Please help!
Answers
Answer:
It's just a line with a slope of 0 at y= -5
Factorize; x cubed - x squared y ?
ASAP, please
Answers
Answer:
x²(x - y)
Step-by-step explanation:
x³ - x²y ( x² is common to both terms so factor it out )
= x²(x - y)
-4x + 2x + 3x + 8
Asap
Answers
Answer:
x + 8
Step-by-step explanation:
1. To simplify this expression, we have to combine like terms.
(-4x + 2x + 3x) + (8)(-2x + 3x) + (8)x + 8Therefore, the answer is x + 8.
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
Answers
Answer:
Step-by-step explanation:12-4=8
Given that ∠ADC≅∠BCD, AC⊥CD and BD⊥CD, which of the following proves that △ACD≅△BDC?
Answers
Answer:
1. ∠ADC≅∠BCD (Given)
2. AC¯¯¯¯¯⊥CD¯¯¯¯¯; BD¯¯¯¯¯⊥CD¯¯¯¯¯ (Given
)3. ∠ACD and ∠BDC are right angles(Def. of ⊥)
4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)
5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)
6. △ACD≅△BCD (ASA Steps 1, 5, 4)
△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.
What is of congruent triangle?Congruent triangles have comparable sides and angles that are equal. The symbol "≅" represents congruence.The three sides are all the same (SSS: side, side, side)Two angles are the same, as is a corresponding side (ASA: angle, side, angle)We know that two triangles are congruent if all of their sides are the same— thus side, side, side (SAS: side, angle, side). We also know they are congruent if we have a side, an angle between the sides, and another congruent side—so side, angle, side.1. ∠ADC≅∠BCD (Given)
2. AC⊥CD; BD⊥CD (Given
3. ∠ACD and ∠BDC are right angles(Def. of ⊥)
4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)
5. CD≅CD (Reflex. Prop. of ≅)
6. △ACD≅△BCD
To learn more about Congruent triangles refer,
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Help! Look at the image below!
Answers
Answer:
the answer is (6,9) so the answer for y is 9
Step-by-step explanation:
please if you can i urgently need help thank you very much
Answers
Answer:
alright so basically solve and find each value out of exponent so it would be 16-8 over 32-16 which is 8/16 which simplifies to 1/2 which is ur answer
Answer:
4
you just add the powers when it's multiplication and same digit and minus them when they are divided but they have to be the same digit
2 power 4+3 =7 / 2 power 5+4=9
2 power 9-7=2
2 power 2 =4
find the volume of a cube with the given sides length. 1/5b^3
Answers
Answer:
[tex]\sf \dfrac{b^9}{125}[/tex]
Step-by-step explanation:
We need to find out the volume of cube with the given side length . The side of the cube is ,
[tex]\sf\longrightarrow Side =\dfrac{1}{5}b^3[/tex]
Now as we know that the volume of cube is ,
[tex]\sf\longrightarrow Volume = side^3[/tex]
Substitute the given value ,
[tex]\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}[/tex]
Given M ,N find the value of x
Answers
Answer:
x = 59 , y = 44
Step-by-step explanation:
(2x + 18) and (x - 15) are adjacent angles on a straight line and sum to 180°
2x + 18 + x - 15 = 180 , collect like terms
3x + 3 = 180 ( subtract 3 from both sides )
3x = 177 ( divide both sides by 3 )
x = 59
Then
x - 15 = 59 - 15 = 44
y and (x - 15) are corresponding angles and are congruent , then
y = 44
The graph of the equation 2x-3y = 7 is a line. If a point on this line has an x-coordinate of 10, what
is its y-coordinate?
Answers
Answer:
y = 13/3
Step-by-step explanation:
First input 10 as our x into the equation. So our new equation is 2(10) - 3y=7.
Once you simplify your equation would be 20 - 3y = 7. Subtract 20 from both sides. New equation is -3y = -13. Divide each side by -3. Your answer for y is 13/3.
Can someone solve the whole thing for me please it isnt a test its an online assignment and ill give you brainliest if you solve all of them correctly
Answers
Answer: do you have a email so i can send it to you??
Step-by-step explanation:
There is a bag with only red marbles and blue marbles. The probability of only choosing a red marble is 5/8. There are 25 red marbles in the bag and each is likely to be chosen. How many marbles should there be in total?
Answers
25 red, 15 blue
======================================================
Work Shown:
b = number of blue marbles = unknown
r = number of red = 25
T = number total = 25+b
r/T = probability of getting red = 5/8
r/T = 5/8
25/(25+b) = 5/8
25*8 = 5(25+b) .... cross multiplication
200 = 125+5b
200-125 = 5b
75 = 5b
5b = 75
b = 75/5
b = 15
We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.
The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.
please solve this construction for me
Answers
Answer:
Kaksjnzhxjz zn, nxnjxbjzznbz zn z xnxjz zbjz xj x, j xn, nxmj, xjbznznxjx nzjzjz dbz dnz xbxxjz
-2x + 3y - 4 =0
Find the x-intercept and y-intercept of the line
Answers
Answer:
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x.
-2x + 3y - 4 = 0
-2x + 3(0) - 4 = 0
-2x + 0 - 4 = 0
-2x - 4 = 0
-2x = 4
x = 4/-2
x = -2 The x-intercept is -2
To find the y-intercept, set x = 0 and solve for y.
-2x + 3y - 4 = 0
-2(0) + 3y - 4 = 0
0 + 3y - 4 = 0
3y - 4 = 0
3y = 4
y = 4/3 The y-intercept is 4/3
Aviv thinks of two numbers between 6 and 50. The highest common factor of his two numbers is 5. The lowest common multiple of his two numbers is 60. Write down the two numbers that aviv is thinking of.
Answers
Answer:
15 and 20.
Step-by-step explanation:
The 2 numbers are both divisible by 5.
Listing numbers whose LCM is 60 and divisible by 5.
20 and 30 :- not this as the HCF is 10.
15 and 20 : - HCF = 5 and LCM = 60.
Aviv is thinking of the numbers 60 and 5.
How to determine the two numbers that aviv is thinking of.Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.
The prime factorization of 60 is \(2^2 \times 3 \times 5\).
Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.
However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.
Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).
So, Aviv is thinking of the numbers 60 and 5.
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Which number produces a rational number when multiplied by 1/2
Answers
Step-by-step explanation:
all odd numbers
that should be the answer
#1
Show if the triangles below are similar or not
Please help thankyou!!
Answers
Answer:
No the triangle are not same because the outer length of triangle is not same
is 18/3 an irrational number
Answers
Answer:
Yes it is irrational
Step-by-step explanation:
Hope this helps
The number 18/3 is 6 which is not an irrational number.
What is an irrational number?An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.
here, we have,
18/3
= 6
So, its not an irrational number.
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Help me please this is due please help
Answers
Answer:
18
Step-by-step explanation:
Divide the total weight of dough by the amount required for 1 pizza
20 [tex]\frac{1}{4}[/tex] ÷ 1 [tex]\frac{1}{8}[/tex] ( change mixed numbers to improper fractions )
= [tex]\frac{81}{4}[/tex] ÷ [tex]\frac{9}{8}[/tex]
• leave first fraction , change ÷ to × , turn second fraction ' upside down '
= [tex]\frac{81}{4}[/tex] × [tex]\frac{8}{9}[/tex] ( cancel 81 and 9 by 9 )
= [tex]\frac{9}{4}[/tex] × 8 ( cancel 4 and 8 by 4 )
= 9 × 2
= 18 pizza's