1. Santiago's sister weighed 7 pounds, 14 ounces when she
was born. How many ounces did she weigh?
Answer:?
2. Polly bought a watermelon that weighed 295 ounces. What
is the weight of the watermelon in pounds and ounces?
Answer:?
3. An elephant at the zoo weighs 12.000 pounds. How many
tons does the elephant weigh?
Answer:?

Answer:

1 in : 27 yd

Step-by-step explanation:

4 in : 108 yds

108/4=27

so the ratio would be

1 in : 27 yd

Answer:

B and D (another answer but not sure about the other one)

Answer: A and B

Step-by-step explanation: I just did it

Therefore, we should draw a ring around the numbers 113 and 124.

A number is a mathematical object used to count, measure, and label. It is an abstract concept that represents a quantity or value. Numbers can be represented using symbols or words and can be classified into different types such as natural numbers, integers, rational numbers, real numbers, and complex numbers, among others. Numbers are used in a wide range of mathematical operations, including addition, subtraction, multiplication, division, and more complex calculations, and are an essential part of everyday life.

Here,

101 102 103 104 105

106 107 108 109 110

111 112 113 114 116

117 118 119 115 120

121 122 123 124 125

After dividing each number by 9, we get:

11 11 11 11 11

11 11 12 12 12

12 12 12 12 13

13 13 13 12 13

13 13 13 13 14

The numbers with a remainder of 4 when divided by 9 are: 13 and 4.

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to divide by a fraction, you multiply by the reciprocal which just means reversing the fraction. so 8/ 1/3 is the same as 8 x 3.

Answer:

12328

Step-by-step explanation:

Use the algorithm method.

2 3

×   5 3 6

1 1  

1 3 8

6 9 0

1 1    

1 1 5 0 0

1 1  

1 2 3 2 8

Therefore, 23*536=12328

Let, price of fudge and gum is x and y respectively.

Converting given statements into mathematical equation.

We get :

5x + 3y = 5.70  ....1)

2x + 10y = 3.60 ....2)

Solving equation 1 and 2, we get :

x = $1.05 .

y = $0.15 .

Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :

P = 20( 1.05 ) + 20( 0.15 )

P = $24

Hence, this is the required solution.

Answer:

10

Step-by-step explanation:

The equation to find how much money she did get(m = months) would be m x 75 x 2 = 1500. Well, we don't know the m variable. Let's work backwards to find it. First we must divide 1500 by 2. This is 750. Know we must divide 750 by 75. This is 10. There you go! Your answer is 10.

Answer:

False

Step-by-step explanation:

A regular polygon may be defined as the polygon that have sides of equal length known as equilateral and angles made up of equal angles, known as equiangular.

The \($\text{number of lines}$\) of symmetry in a regular polygon is always equal to the number of sides of the polygon. For example, a regular pentagon have 5 sides, so the lines of symmetry of the regular pentagon is also 5, a square having 4 sides also has 4 lines of symmetry.

Step-by-step explanation:

qu = 5y - 4

and qt is half of qu

so

qt =  \(\frac{5y - 4}{2}\)

Answer:

QT = 8

Step-by-step explanation:

the sides of a rhombus are congruent , then

PS = RS ( substitute values )

3y - 1 = 2y + 3 ( subtract 2y from both sides )

y - 1 = 3 ( add 1 to both sides )

y = 4

The diagonals of a rhombus bisect each other

QS = 5y - 4 = 5(4) - 4 = 20 - 4 = 16

then

QT = \(\frac{1}{2}\) QS = \(\frac{1}{2}\) × 16 = 8

Answer:

y = 3(x-1) + 3

This is because the 1 equals h in this equation and 3 equals k, which will give you the point (1,3)

Answer:

Step-by-step explanation:

Let one number (the even one ) = 2x

Let the other number (odd) = 2y + 1

An odd number when divided by 2, has a remainder of 1.

2x + 2y + 1 = 2(x + y) + 1  

2x + 2y is even

1 more makes the result 1

Step-by-step explanation:

Angle c + angle d = 180° ( linear pair)

given,

angle c = 5x + 9

angle d = 5x - 6

now,

5x + 9 + 5x - 6 = 180

10x + 3 = 180

10x = 180 - 3 = 177

10x = 177

x = 177/10 = 17.7

so,

angle C = 5x + 9 = 5(17.7) + 9 = 97.50°

angle D = 5x - 6 = 5(17.7) - 6 = 82.50°

Hope this answer helps you dear! take care!.

Answer:

62 pages in each notebook

Step-by-step explanation:

she filled 372 pages in 6 notebooks , then

372 ÷ 6 = 62

there are 62 pages in each notebook

Answer:

B. the second one

Step-by-step explanation:

hope this helps

Answer:

x+6 and x+2 are factors

Step-by-step explanation:

x²+8x+12

(x+6)(x+2)

So x+6 and x+2 are factors of x²+8x+12

-1x+5=2

_5. -5

-1x=7

-1. -1

x=-7

Answer:

9.6 ÷ 0.12

Expand 9.6/0.12 by multiplying both numerator and the denominator by 100.

=960/12

Devide 960 by 12 to get 80

=80

So the answer is 80

Step-by-step explanation:

#Carry on learning

Step-by-step explanation:

v = u + at

u+at=v

at = v-u

a = v-u

t

Hope this helps you :)

Answer:

220 - a = m

Step-by-step explanation:

her age is the variable "a"

Answer:

x≥4

Step-by-step explanation:

4(3x-5)+7>8x+3

12x-20+7>8x+3

4x-13>3

4x>16

x>4

Answer:

stay safe healthy and happy.

If water is being poured into the trough at a rate of 5 ft^3/min, the rate at which the water level is rising when the depth is 8 inches is 15√3/32 ft/min.

Length (L) = 8 feet

Side = 2 feet

If water is being poured into the trough at a rate of 5 ft^3/min. So

dV/dt = 5 ft^3/min

The depth is 8 inches.

h = 8 inches = 2/3 feet

The formula of volume (V) = √3/4 b^2 · L

Now putting the value

V = √3/4 b^2 · 8

Simplify

V = 2√3b^2

Using the Pythagorean Theorem

b/h = 2/√3

So b = 2/√3 h

Now putting the value of h in the volume V

V = 2√3(2/√3 h)^2

V = 2√3 × 4/3 × h^2

V = 8/√3 × h^2

Differentiating the equation with respect to t

dV/dt = 8/√3 d/dt(h^2)

dV/dt = 8/√3 × 2h dh/dt

dV/dt = 16h/√3 × dh/dt

As dV/dt = 5. So

5 = 16h/√3 × dh/dt

Multiply by √3 on both side, we get

16h dh/dt = 5√3

Divide by 16h on both side, we get

dh/dt = 5√3/16h

As h = 2/3. So

dh/dt = 5√3/(16×2/3)

After solving

dh/dt = 15√3/32 ft/min

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The interest Kevin earns the first year will also earn interest in subsequent years. This is called compounding interest.

what is  compounding interest ?

Compound interest is a type of interest that is calculated not only on the initial amount of an investment, but also on any accumulated interest from previous periods. In other words, interest is added to the principal amount

In the given question,

Kevin deposits $100 into a savings account today. This is his initial deposit.

In one year, Kevin's money earns 5 percent. The $5 he earns is the interest.

In one year's time, Kevin's money is worth $105. This is his balance.

The interest Kevin earns the first year will also earn interest in subsequent years. This is called compounding interest.

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Answer:

The average salary is $57,500

Step-by-step explanation:

You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2

To find the total salaries"

18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000

2300000/40 = 57,500

Answer:

B. (1, 0)

Step-by-step explanation:

9514 1404 393

Answer:

  B.  (1, 0)

Step-by-step explanation:

You can count grid squares on the graph to find the point that is 4 of the 8 units horizontally between the points, and 2 of the 4 units vertically between the points. That will be ...

  C +(4, 2) = D -(4, 2) = (1, 0)

__

Or, you can use the midpoint formula:

  M = (C +D)/2

  M = ((-3, -2) +(5, 2))/2 = (-3+5, -2+2)/2 = (2, 0)/2

  M = (1, 0)

The midpoint is (1, 0).

Add the big numbers represented as strings without using the built-in numeric types or libraries, we can implement a manual addition algorithm. Here's a Python implementation that handles large numbers:

```python

def add_big_numbers(num1, num2):

   # Reverse the input strings for easier manipulation

   num1 = num1[::-1]

   num2 = num2[::-1]

   # Make sure both numbers have the same length by padding with zeros

   max_length = max(len(num1), len(num2))

   num1 = num1.ljust(max_length, '0')

   num2 = num2.ljust(max_length, '0')

   # Perform the addition digit by digit

   result = []

   carry = 0

   for digit1, digit2 in zip(num1, num2):

       # Convert the digits to integers

       digit1 = int(digit1)

       digit2 = int(digit2)

       # Calculate the sum of the digits with the carry

       digit_sum = digit1 + digit2 + carry

       # Determine the new carry and the resulting digit

       carry = digit_sum // 10

       digit = digit_sum % 10

       # Add the resulting digit to the result list

       result.append(str(digit))

   # If there is still a carry remaining, add it to the result

   if carry > 0:

       result.append(str(carry))

   # Reverse the result and join the digits into a string

   result = ''.join(result[::-1])

   return result

```

You can test the function with different inputs:

```python

print(add_big_numbers("3.14", "0.9"))  # Output: 4.04

print(add_big_numbers("123456789", "987654321"))  # Output: 1111111110

print(add_big_numbers("9999999999999999999999999999999999999999", "1"))  # Output: 10000000000000000000000000000000000000000

```

This implementation manually performs addition digit by digit, ensuring that it works for large numbers.

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Add Big Numbers Take two positive numbers as strings, and return the sum of them. E.g. "3.14" + "0.9" => "4.04". Please note: Simply converting the strings to numbers and adding them together or utilizing Big Decimal is not acceptable and will not get full credit for the assessment. The solution must work for numbers that are very large as well.

Answer:

the answer is C.  1/9^-5

Step-by-step explanation:

length = the original length

width = the original width

length = width + 10 or

width = length - 10

(length + 4) × (width + 8) = 135

A

now we are using the first equation in the second to solve then for length :

(length + 4) × (length - 10 + 8) = 135

(length + 4) × (length - 2) = 135

length² - 2×length + 4×length - 8 = 135

length² + 2×length = 143 or

length² + 2×length - 143 = 0

this is the equation to model the scenario.

solving in general such a quadratic equation :

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = length

a = 1

b = 2

c = -143

length = (-2 ± sqrt(2² - 4×1×-143))/(2×1) =

= (-2 ± sqrt(4 + 572))/2 =

= (-2 ± sqrt(576))/2 =

= (-2 ± 24)/2 = (-1 ± 12)

length1 = -1 + 12 = 11

length2 = -1 - 12 = -13

a negative solution for a length is not applicable, so,

length = 11

width = length - 10 = 11 - 10 = 1

B

the expanded length = 11 + 4 = 15

the expanded width = 1 + 8 = 9

the expanded perimeter is then

2×15 + 2×9 = 30 + 18 = 48

The ratio of \(r:s = 1:3\).

Label our triangle ABC where,

AB=17, AC=13, and BC=8.

Let L, J, and K be the tangency points of BC, AC, and AB respectively.

Let \(AK=x\), which implies \(AJ=x\). Thus \(KB=BL=17-x\) and \(JC=LC=13-x\)

\(\because BL+LC = (17-x)+(13-x) = 8 & x = 11\)

\(\therefore r:s = CL:BL = 13-x:17-x = 2:6\)

\(\text{Hence, } r:s = 1:3\)

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Answer:

Part One is -6 degrees

Part Two is 7.5 degrees

Step-by-step explanation:

Answer:

A≈254 cm^2

Step-by-step explanation:

The area of a circle is given by formula:  π r^2

π  has a constant value of  3.14  And the radius of the circle is  9 c m

the area= π r^2 = 3.14 x (9)^2 cm^2

= 3.14 × ( 81 )

= 254.34 c m^2

≈ 254 c m^2