Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each container?

1. Start the search among 2-digit numbers. A dropdown number (DDN) with 2 digits is a number [tex]ab[/tex] such that

[tex]\dfrac{a+b}2 = a \implies a + b = 2a \implies b = a[/tex]

or

[tex]\dfrac{a+b}2 = b \implies a+b = 2b \implies a=b[/tex]

but both of these solutions violate the requirement that the digits are distinct, so there are no 2-digit DDNs.

A 3-digit DDN [tex]abc[/tex] is such that

[tex]\dfrac{a+b+c}3 = a \implies a+b+c = 3a \implies b+c = 2a[/tex]

or [tex]a+c=2b[/tex] if the average is [tex]b[/tex], or [tex]a+b=2c[/tex] if the average is [tex]c[/tex]. The smallest possible value for [tex]a[/tex] is 1 since we require 3 digits. Then [tex]b+c=2[/tex], and we can pick [tex]b=0[/tex] and [tex]c=2[/tex] to get the smallest DDN, 102.

2. In a 4-digit DDN [tex]abcd[/tex], we have

[tex]\dfrac{a+b+c+d}4 = a \implies a + b + c + d = 4a \implies b+c+d=3a[/tex]

or [tex]a+c+d=3b[/tex] or [tex]a+b+d=3c[/tex] or [tex]a+b+c=3d[/tex].

We're free to fix [tex]a=1[/tex] and [tex]b=0[/tex] to try to get the smallest DDN. This leaves us with [tex]c+d=3[/tex] or [tex]c+d=-1[/tex] or [tex]1+d=3c[/tex] or [tex]c=3d[/tex].

The first two cases are impossible - the only choices for [tex]c,d[/tex] such that [tex]c+d=3[/tex] are 1 and 2, and the sum of two positive integers must be positive. The smallest possible value of [tex]c[/tex] is 2; this leaves us with [tex]1+d=6[/tex] or [tex]2=3d[/tex], but the latter case is impossible because 3 does not divide 2. So [tex]d=5[/tex], and the smallest 4-digit DDN is 1025.

To find the largest DDN, start with the largest possible values for [tex]a[/tex] and [tex]b[/tex]. Let [tex]a=9[/tex] and [tex]b=8[/tex]. Then [tex]c+d=19[/tex] or [tex]c+d=15[/tex] or [tex]17+d=3c[/tex] or [tex]17+c=3d[/tex]. At most, we can have [tex]c+d=13[/tex] with 7 and 6, so the first two cases are impossible. If we maximize [tex]c=7[/tex], then either [tex]17+d=21\implies d=4[/tex] or [tex]24=3d\implies d=8[/tex] (which we don't want). So the largest 3-digit DDN is 9874.

3. I don't have an analytical solution to this, but using brute force (program) the total count is 112.

4. It is possible; consider 1249 and 1250, with digital averages

[tex]\dfrac{1+2+4+9}4=4 \text{ and } \dfrac{1+2+5+0}4=2[/tex]

which happens to be the smallest pair. (Also found with brute force.)

Answer:

Step-by-step explanation:

Thank you for asking this question. Here is your answer:

1/2 The increase in temperature by 10    

10°C    

Times the unit rate of the conversion function.

2/2 F  

is given in slope-intercept form, so the slope of the graph is  1.8    

This means the unit rate is  1.8°F / 1°C  

Therefore, for 10°C

The increase in Fahrenheit is  

10⋅1.8

= 18°F

If there is any confusion please leave a comment below.

Answer:

5/6

Step-by-step explanation:

Three-fourths x + StartFraction 1 Over 7 EndFraction y = 6

StartFraction 1 Over 8 EndFraction x minus three-fifths y = 16

is 5/6

Answer: Step 1: Divide the given number by the smallest prime number. ...

Step 2: Again, divide the quotient by the smallest prime number.

Step 3: Repeat the process, until the quotient becomes 1.

Step 4: Finally, multiply all the prime factors.

Step-by-step explanation:

Answer:

12 1/2% DISCOUNT:

Step-by-step explanation:

Jacket: $60.81

Tie: $13.56

Raincoat: $65.93

Answer: Should be around $23,000

Step-by-step explanation:

39.8% of 61463

Answer:

3.84 * 10^{-2}

Step-by-step explanation:

You can convert the first one into 0.041 as it is multiplied by [tex]10^{-2[/tex]. The second one can be converted into 0.0026 as it is multiplied by [tex]10^{-3[/tex].

[tex]0.041-0.0026=0.0384[/tex]. In scientific notation, this is [tex]3.84 * 10^{-2}[/tex].

Answer:

A ten digit number without any equal digits is a permutation of 0,1,2,3,4,5,6,7,8,9.

Assuming the first digit cannot be zero, there are 9×9! such permutations.

In total there are 9×109 ten digit numbers so you can easily calculate the probability.

Answer:C

Step-by-step explanation:

volume is widht x length x depth so it is 5 x 3 x 2 = 30

Answer: C:30

Step-by-step explanation:

ur welcome

Answer:

1105.8 in³

Step-by-step explanation:

The surface area is the circumference of the base times the height:

A = 2πrh, which, in this problem, works out to:

A = 2π(4 in)²(11 in) ≈ 1105.8 in³

Answer:

The answer will be 1105.8 in³sq inches.

Step-by-step explanation:

You multiply 4x11 which is the diameter of 44. The the radius with it will be 22. To get the surface, you multiply it= 1105.8 in³

Please mark me brainliest!

Answer:

12%

Step-by-step explanation:

$68 - 59.9 = $8.1

$8.1/$68 = 0.11911764705

0.11911764705 x 100 = 11.911764705

11.911764705 is rounded up to 12

12%

Answer:

Step-by-step explanation:

ok so there is 2 130cm2 is that a typo or are they messing with us because i got an answer that is not here it is 290cm2

Answer:

4, Third option

Step-by-step explanation:

When you get 9^8 the answer is 43046721. So when raising a power to a power, the products should equal 8. Using simple math, we can determine that 4x2=8. To check our work you can calculate (9^2)^4, which equals 43046721. Now we can now for sure that this answer is correct. Hope this helps!

Answer: 11

Step-by-step explanation:

Since the smaller triangle is half of the larger triangle

5.5×2=11

Answer:

The correct answer is 11.

Step-by-step explanation:

Answer:

1. 13

2a. -13

2b. 5

3. 8

Step-by-step explanation:

-5 to 8 is 13

-13 feet below cuz Below of number line

Answer:

b

Step-by-step explanation:

We have proven that ΔACO ≅ ΔBDO using the SAS (Side-angle-side) theorem

From the question, we are to prove that ΔACO ≅ ΔBDO

From one of the congruent triangles theorem, we have that

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

This is the SAS (Side-angle-side) theorem.

From the given information,

AB and CD intersect at point O

Thus, AO = BO

Also,

∠ACO ≅ ∠BDO

In the diagram, we can as well observe that CO ≅ DO

Thus, we can conclude that AC ≅ BD

Since sides AC, CO and the included angle ACO are congruent to sides BD, DO and the included angle BDO, we can conclude that ΔACO ≅ ΔBDO using the SAS theorem.

Hence, we have proven that ΔACO ≅ ΔBDO

Learn more on Congruent triangles here: https://brainly.com/question/2938476

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Answer:

10/6

Step-by-step explanation:

r refer to the above attachment

Answer:

This is a multiplication problem.

2 1/2 * 2/3 = 5/2 * 2/3 = 10/6 or 5/3

She will use 10/6 or 1 2/3 cups of vegetable oil (or applesauce)

Hope this helps, let me know if it's wrong!

Step-by-step explanation:

Answer:

Part A: Histogram :)

Part B: Described below! :)

Step-by-step explanation:

Part A:

A histogram is the best choice because it can show the numbers for multiple categories in a quick and easy manner :)

Part B:

The x axis will have the categories of quiz scores! The y axis will show how many students got that score.

We then put the categories from smallest to largest along the x axis. We will also put the numbers that go with the categories above the category!

Done! you have made your histogram!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

Part A:A histogram is the best choice because it can show the numbers for multiple categories in a quick and easy manner :)Part B:The x axis will have the categories of quiz scores! The y axis will show how many students got that score. We then put the categories from smallest to largest along the x axis. We will also put the numbers that go with the categories above the category!Done! you have made your histogram!

Answer:

I assumed that you made a mostake and meant:

On a electricity bill of $38.76, mrs.miller pays only $14.80 because she pays a certain date. what percent discount is mrs.miller allowed?

62% approx

Step-by-step explanation:

$38.76 - $14.80 = $23.96

23.96/38.76 = 61.8%

Mrs. Miller is allowed a discount of approximately 5% on her electricity bill.

To calculate the percent discount that Mrs. Miller is allowed on her electricity bill, we can use the following formula:

Percent discount = (Discount amount / Original amount) * 100

In this case, the original amount of the bill is $40.80, and Mrs. Miller pays only $38.76, which means she receives a discount of $40.80 - $38.76 = $2.04.

Now, let's calculate the percent discount:

Percent discount = ($2.04 / $40.80) * 100 ≈ 5%

The discount is given as a percentage of the original bill amount and represents the amount saved by Mrs. Miller due to paying on a certain date or any other special offer provided by the electricity company. By paying $38.76 instead of $40.80, she saves $2.04, which is 5% of the original bill.

To learn more about discount click on,

https://brainly.com/question/28184203

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Answer:

  9.5×10¹

Step-by-step explanation:

You want the quotient of 2.85×10⁶ and 30,000 written in scientific notation.

It is convenient to adjust the exponents of the operands so the coefficient of the quotient has a value between 1 and 10.

  [tex]\dfrac{2.85\times10^6}{30,\!000}=\dfrac{2.85\times10^6}{0.3\times10^5}=9.5\times10^{6-5}=\boxed{9.5\times10^1}[/tex]

__

Additional comment

Your calculator can format the quotient in scientific notation for you.

<95141404393>

Answer:

step 1

Step-by-step explanation:

khan academy

Answer:

Claire incorrectly completed step 1 in which the second power of 10 was stated but it should have been the third.

Step-by-step explanation:

Answer:

x=19

Step-by-step explanation:

●Alternate angles are equal

therefore, angle WYZ= angle YWX

2x= angle YWX

●Angles within a triangle sum up to 180 degrees

=3x-5+2x+90=180

▪︎group like terms

=3x+2x+90-5=180

=5x+85=180

▪︎send all x terms to one side of the equation

=5x=180-85

=5x=95

▪︎divide both side by the coefficient of x ; 5

=x=19

Answer:

13 dollars and 44 cents, 56 cents.

Step-by-step explanation:

134 dollars are 40 cents = 134.4 dollars.

10b = 134.4

b = 13.44

13 dollars and 44 cents

There are 24 cookies to a batch

24c = 13.44

c = 0.56.

so each cookie costs 56 cents

Answer:

13.44 to make 1 batch. 0.56 to make 1 cookie.

Step-by-step explanation:

If it cost 134.40 to make 10 batches, then you would divide that by 10 for how much it cost for 1 batch.

Then, 1 batch of 24 costs 13.44, you would divide it by 24 for the cost of 1 cookie.

Answer:

3x+y=6            is parallel

y=-3x-2

   4x               2

-----------   -   -----------                       2/x+5

x^2-25          x-5

5                 3

------    +   -------                               8x+19/x^2+5x+6

x+3           x+2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Since 5 and 6 are coprime, the least common multiple is their product, which is 30.

Answer: 30

Step-by-step explanation:

The least common multiple of two numbers, or LCM, is the smallest multiple that can divide evenly into both numbers. We can easily find the LCM by finding the primes that multiply into both numbers.

[tex]5=5\\ 6=2*3[/tex]

If there were any in common between the factorization of both numbers, we would only need to count it once. Since there weren't any, the smallest multiple of both numbers would be their product, 30.

Hence, the LCM of 5 and 6 is 30.