Susan has 343 cookies. She packs as many of them as she can equally in 19 boxes. She gives the rest to Mike. How many cookies does Mike get.

Answer:

C

Step-by-step explanation:

all other graphs couldnt work because their x axis do not pass the vertical line test.

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Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.

Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.

Here,

Beans=12*40

=480

cost of beans=12*5

=$60

Carrot=15*36

=540

cost of carrot=15*7

=$105

Corn=2*50

=100

cost of corn=2*3

=$6

Total seeds=1120

Total cost=$171

Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.

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The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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Therefore, the length of a rectangle is 13m and width is 8m

A region's size on a planar or curved surface is described mathematically as its area. In contrast to a plane region or plane's area, which refers to a form or planar lamina, a surface area is the size of an open surface or the edge of a three-dimensional object.

Here,

width=x

length=2x-3

Area =l x w

104=(2x-3)(x)

104=2x^2-3x

52=x^2-3/2(x)

52+9/16=x^2-3/2(x)+9/16

841/16=(x-3/4)^2

29/4=x-3/4

x=32/4

x= 8m

Thus width = 8m

length =  2(8)-3  = 13m

Therefore the length of a rectangle is 13m and width is 8m

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The value of x for each item is given as follows:

28. x = 5.

29. x = 3.44.

For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:

16x = 10 x 8

16x = 80

x = 5.

For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:

10(x + 10) = 12(12 + 25)

10x + 100 = 444

10x = 344

x = 3.44.

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Answer:

Question 1: 3380g

Question 2: 2g/cm^3

Step-by-step explanation:

I used online mass and density calculators. Hope this helps :)!

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

it takes the bears 12 days to eat honey together.

Step-by-step explanation:

1/x+9+1/x+16=1/x

(solve this using cross multiplication)

= x^2 = 144

x=12

The number of days that it takes for both of the considered bears to eat a barrel of honey together is 12 days.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

We can define a constant as "Manpower" needed for doing that specific work.

Each worker has his/her own strength. That strength is applied per unit of time.

Let we define:

Manpower needed for a work = time taken for that work  × strength used for that work per unit of time

(we used multiplication as it represents linear use of strength to finish the task, so using that strength for a finite units of time means you stacked up your strengths that many times to finish that work)

Here, we have:

Assume that:

Then, we get:

Manpower needed for a work = time taken for that work  × strength used for that work per unit of time

\(M = x \times S\\M = y \times T\)

If bear A and bear B both do the work together, then their strenghts will add up.

That means, the combined strength would be S + T per day

The manpower the work needs is still M, therefore, the time needed is:

\(M = \text{Time needed} \times (S + T)\\\\\text{Time needed} = \dfrac{M}{S+T}\)

This is the time needed for both bears to do the work together.

Also, it is given that:

It takes a bear 9 more days to eat a barrel of honey alone than it takes the bear and a second bear to eat the barrel of honey together.

or

Time needed by bear A to do work = 9 + time needed by both bears to do the work

or

\(x = 9 + \dfrac{M}{S + T}\)

Also, it is given that:

It takes the first bear 7 fewer days to eat a barrel of honey alone than it takes the second bear to eat a barrel of honey alone.

or

Time taken by bear A to do the work = Time taken by bear B for that work - 7 days

or

\(x = y - 7\)

Thus, we got these equations:

\(M = S \times x\\M = T \times y\\\\x = \dfrac{M}{S + T} +9\\\\x = y - 7\)

call them first, second, third and fourth equation as per their ordering.

From the first and second equation, we get:

\(S = \dfrac{M}{x}\\\\T = \dfrac{M}{y}\)

Putting these values in the third equation, we get:

\(x = \dfrac{M}{M/x + M/y} + 9\\\\\\x = \dfrac{xy}{x+y} + 9\\\\(x-9)(x+y) = xy\\x^2 -9x -9y + xy = xy\\x^2 -9x = 9y\)

From the fourth equation, we know that:

\(x = y - 7\)

or \(y = x +7\)

Putting this value of y in the  equation \(x^2 -9x = 9y\), we get:
\(x^2 -9x = 9(x+7)\\x^2 -9x = 9x + 63\\x^2 -18x -63 =0\\\\x^2 -21x + 3x -63 = 0\\x(x-21) + 3(x - 21) = 0\\(x+3)(x-21) = 0\\(x+3) = 0, (x-21) = 0\\x = -3, x = 21\)

'x' represents time in number of days. So it cannot be negative.

Thus, the value of x obtained is 21.

Also, we need: Time needed for both the bears to do the work together.

This time is the value of \(\dfrac{M}{S+T}\), which is equal to \(x - 9\) days (from the third equation)

Thus, the time needed  for both the bears to do the work together = \(x-9 = 21-9 = 12 \; \rm days\)

Thus, the number of days that it takes for both of the considered bears to eat a barrel of honey together is 12 days.

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Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

A = 78.54

A = 3.14r^2

Answer:

he ate 14 more

Step-by-step explanation:

Answer

1

Step-by-step explanation

Given the expression:

It has the form:

with a = 106° and b = -61°. Therefore, the first expression is equivalent to:

Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer:

-6

Step-by-step explanation:

x^3 = -6*36 = -6*6*6 = (-6) * (-6) * (-6) = (-6)^3

so x = -6

Answer:

the answer is 45 because there are four marbles so it would be a 50/50

Answer:

160.284

Step-by-step explanation:

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

i dont know what you want but exact form is 983/243

decimal form is 4.04526748

mixed form 4 \(\frac{11}{243}\)

Step-by-step explanation:

Answer:

c 12/3.95 = 9/x is the answer.

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Your question is incomplete. Please find the missing content below

You go to the shops on Monday and buy 1 apple, 1 banana, and 1 carrot; the whole transaction totals €15. On Tuesday you buy 3 apples, 2 bananas, 1 carrot, all for €28. Then on Wednesday 2 apples, 1 banana, 2 carrots, for €23.

Construct a matrix and vector for this linear algebra system.

Matrix is A = [ [ A₁₁ , A₁₂ , A₁₃]

                      [ A₂₁ , A₂₂ , A₂₃]

                      [ A₃₁ , A₃₂ , A₃₃] ]

Vector S = [sMon , sTue , sWed]

(i) consider A as fruits

A₁₁ = 1

A₁₂ = 1

A₁₃ = 1

A₂₁ = 3

A₂₂ = 2

A₂₃ = 1

A₃₁ = 2

A₃₂ = 1

A₃₃ = 2

(ii) Consider s as days

sMon = 15

sTue  = 28

sWed = 23

Hence the matrix and vector is:  A = [ [ A₁₁ , A₁₂ , A₁₃]

                                                           [ A₂₁ , A₂₂ , A₂₃]

                                                           [ A₃₁ , A₃₂ , A₃₃] ]

Vector S = [sMon , sTue , sWed]

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Answer:

The equivalent equation is -9i-48

Step-by-step explanation:

i = √-1, i² = -1

Therefore (-√-9 + √-4) - (2√576 +√-64)

=(-√(9*(-1)) + √(4*(-1))) - (2 *24 + √(64 *(-1)))

= (-3i + 2i) - (2 * 24 + 8i)

= -i - 48 -8i

= -9i - 48

Step-by-step explanation:coordinates of first person in the line.

Answer:

hope this helps

Step-by-step explanation:

.55×78=42.9

78+42.9

=120.9 round off 121

Answer: 120.9 I believe.

Step-by-step explanation:

55% of 78 is 42.9.

(55 x 78 over 100 = 42.9)

Therefore take 78 + 42.9.

120.9

The first term of GP is  a₁ = -4.

Given that,

Sum of five terms of GP = s₅ = -16.3804

Common ratio = 9/10  which is less than 1

Number of terms = n = 5

We know that,

Sum of nth term of GP when common ration is less than 1,

s₅ = a₁(1-\(r^{n}\))/(1-r)

Substituting the values,

⇒ -16.3804 = a₁(1-0.9⁵)/(1-0.9)

⇒             a₁ = -16.3804/4.0951

⇒             a₁ = -4

Hence, the value of  a₁ is -4.

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Answer:

Step-by-step explanation:

The median of the original list is 10. After adding 20, the new median is 15. Thus, the median has increased by 5.

The subject of this question is Mathematics, specifically a concept within statistics known as the median. To find the median of a set of numbers, you first need to sort the numbers from smallest to largest. Once sorted, the median is the middle number. If there is an even number of observations, the median is then calculated as the average of the two middle numbers.

Let's first figure out the median of the original list, which when sorted is 2, 4, 10, 21, 26. The middle number here, the median, is 10.

Then we add 20 to the list, which then is 2, 4, 10, 20, 21, 26. For an even number of observations, we find the average of the two middle numbers, thus, (10+20)/2 = 15.

So, by adding 20 to this list, the median moves from 10 to 15, an increase of 5.

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Answer:

Step-by-step explanation:

The measure of an arc is twice the measure of the inscribed angle that subtends that arc. A tangent is a special case where the chord that is one leg of the inscribed angle has a length of zero.

1. Short arc LJ is 2a°. Short arc LK is 2b°. Then arc JLK is 2(a+b)°, and short arc JK is ...

  arc JK = 360° -2(a +b)° . . . . . matches choice B

__

2. Long arc WY is twice the measure of "inscribed" angle WYZ, so is ...

  long ard WY = 2(104°) = 208°

Then short arc WY is ...

  arc WXY = 360° -208° = 152°

__

3. The arc measures are double those of the corresponding inscribed angles. We can add up the arcs around the circle:

  (arc AB +arc BC) = 2×70° = 140° . . . inscribed angle relation

  (arc BC +arc CD) = 2×98° = 196° . . . inscribed angle relation

  arc AB + arc BC +arc CD +arc DA = 360° . . . . sum around the circle

Adding the first two equations with arc DA, we have ...

  (arc AB + arc BC) +(arc BC +arc CD) +arc DA = 360° +arc BC

  140° +196° +80° = 360° +arc BC

  416° -360° = arc BC = 56° . . . . . matches choice B

__

4. Angle C and angle A are supplementary in this inscribed quadrilateral.

  angle C = 180° -98° = 82° . . . . . matches choice A

Answer:

Step-by-step explanation:

. \(7 \geq b + (-2) \\7+2 \geq b\\\\9 \geq b\\\\b\leq 9\)

choice a

isolate b ( leave b by itself)

to do that, add 2 to the 7.