Kate serves herself 1 1/2 ounces serving of cereal each morning. How many servings she does she get from a 17 1/2 ounce box his favorite cereal? Justify your reasoning.

Answers

Answer 1
When rounded you want to divide 35/2 by 3/2 and when divided youll get 35/3 which is 11.6666666 so if intented to round to would be 11 servings, otherwise it would be 11 and 2/3 or 35/3.
Answer 2

Answer:

i realy need help with this one

Step-by-step explanation:


Related Questions

What is the fifth term of a number pattern that begins with 32 and adds 5? A. 47 B. 42 C. 52 D. 57

Answers

The answer you want would be C.52

Reason: 32+5= 37 that is the 1st and 2nd term. 37+5=42 thatis the 3rd term. 42+5=47 that's the 4th term. And 47+5=52 that's the 5th term.

Hope it helps!!


Record the product 51 times 77

Answers

the answer is 128 because 51 + 77= 128


The product is 3927.

a house is valued £210 000, correct to 2 significant figures, what is the lowest possible value of the house and the highest possible value of the house?

Answers

The lowest possible value of the house is £205000 and highest possible value is £214999.99...

Given that:

The house is valued £210000, correct to 2 significant figures.

Since its correct to 2 significant figures, thus there is error of approx 10000 range in £210000

The lowest possible number that would round up to 2 significant numbers  to £210000 is £205000 since any value lower than that would look like £204..... which won't round up to £21..... but £20....

Similarly, the highest possible number that would round up to 2 significant figures to £210000 is £214999.999... since any real number bigger than that would make starting digit of the number as £215.... and thus 2 significant figure rounding will lead to £22....

Thus, the lowest possible value of the house is £205000 and highest possible value is £214999.99...

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A washer and a dryer cost $800 combined. The washer costs $50 less than the dryer. What is the cost of the dryer?

Answers

This is what I think:

#1: 800 - 50 = 750

#2: 800 divided by 2 = 400 - 50 = $350

i think the dryer costs 450$ and the washer 350$

Simplify. 8√200-3√162

Answers

53√2

using the ' law of radicals '

√a × √b = √ab

simplifying the radicals

√200 = √( 100 × 2 ) = √100 × √2 = 10√2

√162 = √( 81 × 2 ) = √81 × √2 = 9√2

8(10√2 - 3(9√2) = 80√2 - 27√2 = 53√2


The answer is 53root2 because The answer is 53root2 because 8root200 is simplified to 80root2 and 3root162 is simplified to 27root2 and if you subtract these two values you get 53root2 (sry I don’t have a root symbol)



Which number sentences show how to solve the problem?

The truck driver loaded 72 crates of eggs. There are 36 eggs in each crate. The driver will make 6 deliveries and unload the same number of eggs at each delivery stop.

How many eggs will the driver unload at each stop?

Choose all answers that are correct.

72 ÷ 6 = 12 and 12 × 36 = 432

72 ÷ 6 = 12 and 12 × 12 = 144

72 ÷ 36 = 2 and 2 × 72 = 144

72 × 36 = 2,592 and 2,592 ÷ 6 = 432

Answers

72 ÷ 6 = 12 and 12 × 36 = 432 and 72 × 36 = 2,592 and 2,592 ÷ 6 = 432

All of them are correct

if the mean of a symmetrical distribution is 56, which of the values could be the median of the distribution 56,14,28,42

Answers

First you want to organize the numbers in order to find the median so it should look like this: 14, 28, 42, 56. Then you want to find the one in the middle. But oh wait there are TWO in the middle so add 42 and 28 up 70 then divide it by 2 which equals your median of 35.

Answer: 56

Step-by-step explanation: Apex

Really need help with this question

Answers

Keep the bases of 6 and add exponents: [tex]6^{16}[/tex]

Keep the bases of 11 and add exponents: [tex]11^{26}[/tex]

So its C.

hope that helps :)

what is the greatest common factor of 16y^3 z^3 and 56y^4z

Answers

Answer:

8y^3z

Step-by-step explanation:

8, y^3 and z are common to both expressions.  Thus, the GCF is 8y^3z.


27 pounds of recyclable trash is what percentage of the barrel of 53 pounds of trash

Answers

50.94339623 percent boiii

Answer:

50.9%

Step-by-step explanation:

We are asked to find 27 pounds of recyclable trash is what percentage of the barrel of 53 pounds of trash.

We need to find 27 is what percent of 53. We can represent this information in an equation as:]

[tex]\frac{27}{53}\times 100[/tex]

[tex]0.5094339\times 100[/tex]

[tex]50.94339\%\approx 50.9\%[/tex]

Therefore, 27 pounds of recyclable trash is 50.9% of the barrel of 53 pounds of trash.

(6,-2),(r,-6),m=4 find the value of r so that the line passes through each pair of points has a given slope

Answers

r = 5

calculate the slope m using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with ( x₁, y₁ ) = (6, - 2 ) and (x₂, y₂ ) = (r, - 6)

m = [tex]\frac{-6+2}{r-6}[/tex] = [tex]\frac{-4}{r-6}[/tex] = 4

cross multiply

4(r - 6 ) = - 4

4r - 24 = 4 ( add 24 to both sides and divide by 4 )

4r = 20

r = [tex]\frac{20}{4}[/tex] = 5


The value of r so that the Slope of a line passes through the points (6,-2) and (r,-6) with a slope of 4 is 7.

In mathematics, the slope of a line through two points can be determined using the formula m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In your case, the given points are (6, -2) and (r, -6) and the slope (m) is given to be 4. So, insering these values in the formula, you get: 4 = (-6 - (-2)) / (r - 6).

By simplifying the above equation, we find that r = 7.

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Teaser) What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?

Answers

If it were 3:00 precisely then it would be 90 degrees.

The minute hand moves 360 degrees per hour so 5 minutes makes it 30 degrees closer to the hour haned.

The hour hand moves 360 degrees per 12 hours (720 minutes) so 5 minutes make it move 2.5 degrees further from the minute hand.

90 degrees -30 degrees + 2.5 degrees = 62.5 degrees

Answer:

30° angle between the minute and the hour hands, when they show 3:05 PM.

Step-by-step explanation:

Given  : 3:05 PM

To find :  What is the measure of the angle between the minute and the hour hands.

Solution : We have given clock that showing time 3:05 PM

We know that clock make the complete angle that is 360 degree.

We know 1 hour = 60 minute.

So, angle formed by 60 minute  = 360 °.

Angle formed by 1 minute = [tex]\frac{360}{60}[/tex].

Angle formed by 1 minute = 6°.

According to question :

At 3:05 pm

Total minute between minute hand and hour hand is 5.

So. Angle formed by 5 minute = 5 * 6 .

Angle formed by 5 minute = 30° .

Therefore, 30° angle between the minute and the hour hands, when they show 3:05 PM.

Let n be the smallest composite number such that it can be written as the product of two positive integers that differ by 10. How many distinct prime factors does n have?

Answers

Answer: n has two distinct prime factors 2 and 3.


Step-by-step explanation:

As given the smallest composite number such that it can be written as the product of two positive integers that differ by 10.

i.e. if first number be x then the other number be x+10 and n=x(x+10), where n must be composite number.

So after putting the values of x by positive integer

1) x=0 then n=0(10+0)=0...which is not a composite number.

2) x=1 then n=1(1+10)=11..... which is not a composite number.

3)x=2 then n=2(2+10)=24......which is a composite number.

so our n=24 and we know that 24=2×2×2×3

Therefore its distinct prime factors are 2 and 3.

Answer:

2

Step-by-step explanation:

Solution:

The smallest pair of numbers that differ by 10 is 1 and 11; however, they multiply to 11 which is not composite. We try the next pair up: 2 and 12, which multiply to 24 which is composite, so [tex]$n=24$[/tex].  [tex]$24$[/tex]  factors as [tex]$2^3 \cdot 3$[/tex], so it has [tex]$\boxed{2}$[/tex] prime factors: 2 and 3.

Hope this helped! :)

Select Equal or Not Equal to correctly classify each statement.

Answers

Only the second row is equal. The first row can't be equal because it says -2=-1/2

Complete the synthetic division problem below 2|1 7 -18 WHATS is the quotient polynomial form? a x+7 b x+9 c x-9 d x-7

Answers

Answer:

x+9

Step-by-step explanation:

Synthetic division calc on Mathaway

The quotient is x+9 and the remainder is 0 if the synthetic division problem is 2|1 7 -18.

What is synthetic division?

In the case of dividing by a linear factor, synthetic division is a shorthand, or quicker, technique of polynomial division.

W have:

2 | 1   7   -18

2 | 1   7   -18

__________

     1

2 | 1      7           -18

____2×1 = 2______

     1    7+2 = 9

2 | 1      7             -18

______2___2×9=18___

     1     9   -18+18 = 0

The quotient is x+9, and the remainder is 0.

Thus, the quotient is x+9 and the remainder is 0 if the synthetic division problem is 2|1 7 -18.

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during his first year as a pilot, rob flies 6,692 miles. he flies 16,429 miles the second year and 24,211 miles the third year. he wants to estimate how many more miles he flew in the third year than the first and second year combined. which shows one way rob could estimate?

Answers

First years flies = 6,692 miles ≈7000 miles.

Second year flies =  16,429 miles ≈ 16000.

Third year flies = 24,211 miles ≈ 24000

Total number of miles flies in first and second year = 7,000miles +16,000 miles

Number of more miles he flew in the third year than the first and second year combined = Number of miles flies in third year - Total number of miles flies in first and second year

Number of more miles he flew in the third year than the first and second year combined 24,000 - (7,000+16,000)

Therefore, 24,000 - (7,000+16,000) estimation of how many more miles he flew in the third year than the first and second year combined.

Estimate by rounding. 121÷42

Answers

Answer:

2.88095238095

Step-by-step explanation:


The total area of both plots of land is?

Answers

You have 2x^2 + 9x -9 and 3x^2 -2x +14

To find total area add the two polynomials together by combining the like terms.


2x^2 + 3x^2 = 5x^2

9x + -2x = 9x-2x = 7x

-9 + 14 = 5


Total area = 5x^2 + 7x + 5

Which of the following is an arithmetic sequence? a.2,4,16,32 b.2,3,7,1, c.3,0,-3,-6 d.5,-5,5,-5

Answers

Answer:

c apex im positive

Step-by-step explanation:

Option C of the following is an arithmetic sequence. 3,0,-3,-6 is the correct arithmetic sequence.

What is a sequence?

A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other. A series is a collection of sequences.

3,0,-3,-6 is the correct arithmetic sequence.

d is the common difference of the series;

3,0,-3,-6

d=0 - 3= - 3 - 0 = -6 - (-3)

d= - 3

An arithmetic sequence has an equal common difference in each progressive term.

Hence, option C of the following is an arithmetic sequence.

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To bowl two games costs $7 and to bowl four games it costs $14. What equation can be written to show the relationship between the cost, c, and the number of games, g, bowled?

Answers

If you divide 7 by 2 it equals 3.5 meaning each game is 3.5 dollars.  So you can find how much any number of games would be by using this equation g (3.5) = c  For example, if there were 3 games then you would do 3 (3.5) = c and the cost would be 10.5 dollars.  

Final answer:

The relationship between the cost and the number of games bowled can be represented by the equation c = 3.5g, where c is the total cost and g is the number of games bowled.

Explanation:

To determine the relationship between the cost (c) and the number of games (g) bowled, we need to find a formula that connects these two quantities based on the information provided. Given that bowling two games costs $7 and bowling four games costs $14, we can see that the cost is directly proportional to the number of games bowled. This means for every game bowled, there is a fixed rate being paid.

Let's break down the information given:

2 games = $7

4 games = $14

From this, we can see that each game costs $3.50 because $7 divided by 2 equals $3.50. Therefore, the relationship between the cost and the number of games can be represented by the equation:

c = 3.5g

Where c represents the total cost and g represents the number of games bowled. This equation can be used to calculate the cost for any number of games bowled.

The temperature was -3 C last night. It is now -4 C. What was the change in temperature

Answers

-1 C, that's the only logical answer I can think of. Or does it have to be in F?

The change in temperature is a decrease of 1°C, which is calculated by subtracting the initial temperature from the final temperature.

The question involves calculating the change in temperature from -3°C to -4°C. To find the change in temperature, you subtract the initial temperature from the final temperature. In this case, the change would be:

-4°C - (-3°C) = -4°C + 3°C = -1°C.

So the change in temperature is a decrease of 1°C.

Help me please , and thank you .

Answers

Remark

There is a 4  year difference between Sal and Carrie. Carrie is the older. She is going to occupy 1 side of the equation. The other side is Sal and the 4 years.

Let Sal = S

Let Carrie = C

Carrie = Sal + 4

Equation

C = S + 4

Jk has endpoints J(-1, 10) and K(-5, 2). MN had the endpoints M(9, -7) and N(1, -3). is JK congruent to MN?

Answers

Answer:

It's true that  [tex]JK \cong MN[/tex]

Step-by-step explanation:

If the lengths of two line segments are equal, then they are said to be congruent to each other.

[tex]JK[/tex] has endpoints as [tex]J(-1, 10)[/tex], [tex]K(-5,2)[/tex] and [tex]MN[/tex] has endpoints as [tex]M(9,-7), N(1,-3)[/tex]

Formula for finding the length of line segment: [tex]\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two endpoints.

So, the length of [tex]JK = \sqrt{(-1-(-5))^2+(10-2)^2}= \sqrt{(4)^2+(8)^2}= \sqrt{16+64}= \sqrt{80}[/tex]

and the length of [tex]MN=\sqrt{(9-1)^2+(-7-(-3))^2}= \sqrt{(8)^2+(-4)^2}= \sqrt{64+16}= \sqrt{80}[/tex]

As, the lengths of [tex]JK[/tex] and [tex]MN[/tex] are equal, so we can say that, [tex]JK[/tex] is congruent to [tex]MN[/tex].

Final answer:

To determine if JK is congruent to MN, use the distance formula to find the lengths of the line segments. If the lengths are equal, then the segments are congruent.

Explanation:

To determine if JK is congruent to MN, we need to compare the lengths of these line segments. The formula for finding the length of a line segment with endpoints (x1, y1) and (x2, y2) is the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

For JK: d = sqrt((-5 - (-1))^2 + (2 - 10)^2) = sqrt((-4)^2 + (-8)^2) = sqrt(16 + 64) = sqrt(80).For MN: d = sqrt((1 - 9)^2 + (-3 - (-7))^2) = sqrt((-8)^2 + (4)^2) = sqrt(64 + 16) = sqrt(80).

Since the lengths of JK and MN are equal (sqrt(80) = sqrt(80)), we can conclude that JK is congruent to MN.

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An= -6+7n calculate A30

Answers

[tex]a_n=-6+7n\\\\a_{30}\to \text{substitute n = 30}\\\\a_{30}=-6+(7)(30)=-6+210=214[/tex]

5 /9 of students at a school are girls. If there are 4041 students at the school, how many are boys?

Answers

i bleieve the answer is 1796

Final answer:

Out of 4041 students in a school where 5/9 are girls, the number of boys in the school will be 1796.

Explanation:

In this mathematics problem, we are looking to find the number of boys in a school where we know the total number of students (4041) and the proportion that are girls (5/9). To start, you can determine the number of girls in the school by multiplying the total number of students by the proportion of students that are girls (4041 * 5/9 = 2245). Taking this number of girls away from the total number of students gives us the number of boys: 4041 - 2245 = 1796. So, out of 4041 students, 1796 of them are boys.

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DOES ANYONE KNOW THE ANSWER??!

Answers

the answer would be c

The answer might be c

Samuel and Leticia are playing a game. After the first round of the game, Samuel's score was -19 and Leticias score was 21. The score with the greater absolute value wins each round. Who won the first round? Explain

Answers

Answer: Leticia won the first round

==============================================================

Your teacher is basically asking "which value is further from zero on the number line?". The value -19 is 19 units away from zero; while 21 is 21 units away from zero.

See the attached image below. Each "space" is a distance of 1

Absolute value measures distance along the number line. Distance is never negative. In terms of notation, you would say

|-19| = 19 and |21| = 21

The outputs 19 and 21 are then compared. We see that 21 is larger, so therefore, Leticia has the higher score and she won the first round.

onsider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 6? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition

Answers

3(x - 4) + 5x = 9x - 36   Given

(3)(x) + (3)(-4) + 5x = 9x - 36       Distributive Property

3x - 12 + 5x = 9x - 36

(3x + 5x) - 12 = 9x - 36      Combine like terms

8x - 12 = 9x - 36

8x - 8x - 12 = 9x - 8x - 36   Subtraction Property of Equality

0 - 12 = x - 36         Additive Identity Property

-12 = x - 36

-12 + 36 = x - 36 + 36       Addition Property of Equality

24 = x

Answer: Additive Identity Property


Answer:Additive Identity Property

Step-by-step explanation:

Need help Finding the side length X.

Answers

Because the 2 triangles are similar, find the ratio of 2 known sides.

Side XY = 10

Side AB = 25

25 / 10 = 2.5

This means the larger triangle is 2.5 times larger than the smaller one.

Now find the side of the smaller triangle, that would be the same side as X on the larger triangle and multiply that by 2.5.


XZ is the same side as AC


So X = 6 x 2.5

X = 15

what's the value of y

Answers

(3y +10) /4 = 2y

Multiply both sides by 4:

4(3y +10) = 4(2y)

12y +40 = 8y

Subtract 40 from each side:

12y = 8y -40

Subtract 8y from each side:

4y = -40

Divide both sides by 4:

y = -40 / 4

y = -10


The answer is A. -10


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