Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet

Answers

Answer 1

49 pieces of string can be cut from a ball of string that has 100 feet

Solution:

Given that, Carle is cutting pieces of string that are exactly 24 3/8 inches long

Therefore,

[tex]Length\ of\ each\ string = 24\frac{3}{8}\ inches = \frac{8 \times 24 + 3}{8} = \frac{195}{8}\ inches[/tex]

How many pieces can she cut from a ball of string that has 100 feet

Total length of string = 100 feet

Convert feet to inches

1 feet = 12 inch

100 feet = 1200 inch

Therefore, number of pieces that can be cut is given as:

[tex]\text{Number of pieces } = \frac{\text{total length of string}}{\text{length of each string}}[/tex]

Substituting the values we get,

[tex]\text{Number of pieces } = \frac{1200}{\frac{195}{8}}\\\\\text{Number of pieces } = 1200 \times \frac{8}{195}\\\\\text{Number of pieces } = 49.2307 \approx 49[/tex]

Therefore, 49 pieces of string can be cut from a ball of string that has 100 feet


Related Questions

I try doing this but am not getting the right answer please can someone help me out? ​

Answers

Answer:44

So you do 2 shapes and add them together

Answer:

44 square yd.

Step-by-step explanation:

7yd - 4yd = 3yd

8yd × 3yd = 24 square yd

5yd × 4yd = 20 square yd

Total area = 24 + 20 = 44 square yd.

The wolverines scored 42 points in a football game they scored 2 more field goals (3 points each) than touchdowns 6 points each how many field goals and touchdowns did they score

Answers

Answer:

6 touchdowns

Step-by-step explanation:

You just subtract the (2*3) from the 42 and get 36 than you divide by 6.

What is the slope of the line that passes through the points -10,9 and -12,7

Answers

Answer:

slope 1

Step-by-step explanation:

change in y over cahnge in x

The slope of the line that passes through the points -10,9 and -12,7 is 1.

What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is defined as the ratio of the rise to the run.

Given that the line passes through the points -10,9 and -12,7. The slope of the line will be calculated as,

The slope of the line is calculated by the formula given below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 7 - 9 ) / ( -12 + 10)

Slope = ( -2 / -2 )

Slope  = 1

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Which equation uses the distributive property to show 6 × 78 = 468? A)6 + (70 × 8) = 468 B) 6 × (70 + 8) = 468 C) 6 + (70 + 8) = 468 D6 × (70 × 8) = 468

Answers

Answer:

[tex]6(70 + 8) = 468[/tex]

answer is b

Answer: The answer is B. hope it could help

Step-by-step explanation:

What fractions are equivalent to 9/24?

Answers

18/48 is one, to get more get a calculator and multiply them both by 2

9/24   =    3/8     =     6/16

       ÷ 3/3        x 2/2

answers: 3/8, 6/16

Jamison graphs the function ƒ(x) = x4 − x3 − 19x2 − x − 20 and sees two zeros: −4 and 5. Since this is a polynomial of degree 4 and he only sees two zeros, he determines that the Fundamental Theorem of Algebra does not apply to this equation. Is Jamison correct? Why or why not?

Answers

Answer:

Jamison is not correct

Step-by-step explanation:

According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.

These roots comprises of real roots and imaginary roots.

The given function is

[tex]f(x) = {x}^{4} - {x}^{3} - 19 {x}^{2} - x - 20 [/tex]

Based on the Fundamental Theorem of Algebra, this function should have four roots.

The graph of the function only reveals real zeros and not the imaginary zeros.

So aside −4 and 5, there are two complex zeros

Final answer:

Jamison is incorrect; according to the Fundamental Theorem of Algebra, a fourth-degree polynomial will have four roots, which could include complex numbers. The zeros he observed are real, but the polynomial may also have complex zeros.

Explanation:

Jamison is not correct because the Fundamental Theorem of Algebra states that every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots in the complex number system. The function ƒ(x) = x4 − x3 − 19x2 − x − 20 is a fourth-degree polynomial, therefore it will have four roots, not necessarily all distinct. Jamison has found two real zeros at −4 and 5. There could be additional complex zeros that were not visible on the graph. The theorem does not specify that all zeros must be real, only that there will be n zeros when including complex numbers.

Polynomials of the second order always have two roots in the complex number system, which explains why real polynomials without real roots (like x2 + 1) have complex roots i and −i. A polynomial of degree four such as the one Jamison is working with can be factored completely into four linear factors in the complex number system, leading to four complex roots. Therefore, it is possible that the remaining two roots of Jamison's polynomial are complex, which is consistent with the Fundamental Theorem of Algebra.

8C4
Evaluate expression

Answers

Answer:

Step-by-step explanation: (8 x C) + (8 x4)

8c + 32

Final answer:

To evaluate the expression ⁸C₄, we use the combination formula, giving a result of 70. This means there are 70 different ways to choose 4 items from a total of 8.

Explanation:

The question asks to evaluate the expression ⁸C₄. This is a combination problem where we want to find how many different ways we can choose 4 items from a total of 8 without regard to the order. In mathematics, the combination can be calculated using the formula [tex]n_C_{_r} = \frac{n!}{r! * (n-r)!}[/tex], where n is the total number of items, r is the number of items to choose, and ! denotes factorial, which is the product of all positive integers less than or equal to the number.

In this case, n = 8 and r = 4. So, we calculate as follows:

8! is 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40320

4! is 4 * 3 * 2 * 1 = 24

(8-4)! or 4! is also 24

Plugging these into our formula gives us ⁸C₄ = 40320 / (24 * 24) = 70

The final answer is 70. This means there are 70 different ways to choose 4 items out of 8.

-3 + 9 ( 102 - 4 ) (simplify)

Answers

Answer: 879

Step-by-step explanation:

The order of operations calls for Parenthesis, Multiply, Divide, Add, Subtract. From left to right.

So we do the parenthesis first (102 - 4)

-3 + 9 (98)

Next we multiply 9 and 98

-3 + 882

Lastly we add -3 and 882

879

A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.4 in.19.4 in. The slant height of the pyramid is 91.5 in.91.5 in. What is the height of the​ pyramid?

Answers

Answer:

89.4 inches

Step-by-step explanation:

The slant height of the square pyramid, the height of the square pyramid and half the base side of the square pyramid altogether form a right triangle.

In this right triangle, the slant height is the hypotenuse.

By the Pythagorean theorem,

[tex]91.5^2=19.4^2+h^2\\ \\h^2=91.5^2-19.4^2\\ \\h^2=8,372.25-376.36\\ \\h^2=7,995.89\\ \\h=\sqrt{7,995.89}\ in\\ \\h\approx 89.4\ in[/tex]

what is the equation of the line that passes through the point (5,4) and has a slope of 4/5?

Answers

Answer:

y-4=4/5(x-5)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=4/5(x-5)

please help me with this problem and explain how to solve these

Answers

Option A:

The simplest radical form of x is [tex]3\sqrt{15}[/tex].

Solution:

Hypotenuse = 16 in

Two sides are 11 in and x.

To find the value of x:

Pythagoras theorem:

In a right angle triangle, the hypotenuse is equal to the sum of the other two sides.

[tex]11^2+x^2=16^2[/tex]

[tex]121+x^2=256[/tex]

Subtract 121 from both sides of the equation.

[tex]121+x^2-121=256-121[/tex]

[tex]x^2=135[/tex]

Taking square root on both sides of the equation.

[tex]\sqrt {x^2}=\sqrt {135}[/tex]

[tex]x=3\sqrt {15}[/tex]

Hence option A is the correct answer.

Hence the simplest radical form of x is [tex]3\sqrt{15}[/tex].

what is -1 1/2 as a decimal

Answers

-11/2 as a decimal is -5.5

u get brainiest for the right answer

Answers

Answer:

C. 40%

Step-by-step explanation:

Since 2 of the 5 sections are shaded in, 2/5 of the circle is shaded in.

Simply divide 2 by 5 to get 0.4 and multiply by 100 to get 40%.

Hello! The answer would be c. If you take a look the circle could be divided into 4, 25% sections. The shaded area passes the first quarter and if doesn’t quite reach the 50% point, therefore it’s 40%.

Which exponential function has an initial value of 2?

Answers

Final answer:

An exponential function with an initial value of 2 can be represented as f(x) = 2e^x, where '2' is the coefficient and 'e^x' is the exponential term. The term 'initial value' in this context refers to the coefficient, which is the output of the function when the input is 0.

Explanation:

An exponential function with an initial value of 2 can be represented as f(x) = 2e^x. Here, the initial value is referred to as a coefficient or base of the exponential function. This means that the output of the function is 2 when the input is 0. Squaring of exponentials involves multiplying the exponent of the exponential term by 2.

As another example, in the exponential arithmetic expression 5^2, you 'square' the base number 5 by using the exponent '2', resulting in 25. Similarly, in the exponential function 2e^x, '2' is the initial value, 'e' is the base of the natural logarithm, and 'x' is the exponent representing the rate of change.

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Final answer:

An exponential function with an initial value of 2 can be represented by the equation y = 2 × aˣ. The number 2 is the output of the function when x is 0 which represents its initial value. Exponential functions involve repeated multiplication, expressed as a base number raised to an exponent.

Explanation:

An exponential function that has an initial value of 2 would be represented by the equation y = 2 × aˣ, where 'a' is the base of the exponent, and 'x' is the exponent itself. To understand this, it's crucial to understand how exponential functions work. They are mathematical expressions that involve an exponent or power, which is shorthand for repeated multiplications of the base number.

In this equation, the initial value is the number 2, which means when x = 0 in the function y = 2 × aˣ, the output will be 2. The 'a' in the equation represents the factor by which the function changes for each unit increase or decrease in 'x', and it can vary based on the specific function or problem context.

An example of such an equation would be y = 2 × 3ˣ, where the initial value y(0) = 2, and the base of the exponent is '3'. When dealing with Exponential Arithmetic, you're expressing very large or very small numbers as a product of two numbers, the first of which is usually a non-zero number between 1 and 10, and the second is 10 raised to an exponent.

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1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones. how much silicone is used in each pair of headphones?

Answers

Answer:

0.0111 grams with the one repeating

Step-by-step explanation:

There are 0.011 grams silicone is used in each pair of headphones.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones.

Now,

Since, 1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones.

Hence, The amount of silicone is used in each pair of headphones is,

⇒ 1/3 ÷ 30

⇒ 1/3 × 30

⇒ 1/90

⇒ 0.0111 gram

Thus, The amount of silicone is used in each pair of headphones = 0.011 g

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The circumference of a circle is 12 what is the radius

Answers

Answer:

6

Step-by-step explanation:

12/2=6

The answer to the should be 6

Where does the Parenthesis go in 12x3 to the power of 2 +36

Answers

Answer:

Around the 12x3

Step-by-step explanation:

(12x3)^2+36

10. Shree writes the equation x + 7 = 28. What
should Shree do to find the value of x?





PLEASE HELP ASAP!

Answers

X+7=28
x=28-7
x=21 is the answer

Answer:

Shree should subtract 7 on both sides of the the equation ( variable side and total side. ) and then Shree would get the x = 21

Step-by-step explanation:

x + 7 = 28

   - 7    - 7

      x = 21

(56 x10°)-4,000,000 =

Answers

It should be -3999944

Answer:

-3999944

Step-by-step explanation:

Is x^2+y^2= 100 a function

Answers

Answer:

No

Step-by-step explanation:

It takes time 42 minutes to ride his bike 7 miles. How many minutes does it take him to ride 1 mile? Find a unit rate for using what you know about raIt takes time 42 minutes to ride his bike 7 miles. How many minutes does it take him to raid 1 mile?

Answers

Answer:

Step-by-step explanation:

42/7

= 8

Help math fractions
3 2/3 - 1 11/12=

Answers

Answer:

i wrote this as a decimal so um i hope this at least helps :). 1.75

Step-by-step explanation:

The answer is one one and three fourths 1 3/4

Solve 3^n=5. How to solve n?

Answers

Answer:

[tex]\huge\boxed{n=\log_35}[/tex]

Step-by-step explanation:

[tex]3^n=5\Rightarrow\log_33^n=\log_35\qquad\text{use}\ \log_ab^n=n\log_ab\\\\n\log_33=\log_35\qquad\text{use}\ \log_aa=1\\\\\boxed{n=\log_35}[/tex]

Find the sum of - 3/7 and its opposite. [Type your answer as a number.]

Answers

The answer is 0

Why? Because adding any number and its opposite is always going to be zero.

Consider adding the number 5 to its opposite -5

5 + (-5) = 5-5 = 0

The same applies to fractions as well. All we do is change the sign from negative to positive, or vice versa, to get the opposite number. The opposites cancel out more or less.

You can think of it as going up 5 floors (positive 5), then going back down 5 floors (negative 5). So overall you didn't change floors at all (represented by 0)

find the perimeter of a rectangle whose length is 15 cm and length of one diagonal is 17cm

Answers

Answer:

46 cm

Step-by-step explanation:

first ,we use the Pythagorean theorem to determine the width:

width = √(17^2-15^2) = 8

then

perimeter = 2(width+lengt) = 2(8 + 15) = 2×23 = 46

Please help fast!! Is it A, B, C or D?

Answers

Answer:

c

Step-by-step explanation:

3 to the power of 2 is 9. Then You do PEMDAS.

Answer:

C

Step-by-step explanation:

Use PEMDAS.

1. (21 - 3) / 3²

2. 18 / 3²

3. 18 / 9

4. 2

find the sum or difference. 8 1/6 + 7 3/8

Answers

15 13/24 or in decimal form 15.5416
The answer is 746/48 and 1 26/48 in simplest form.

What is the value of (Negative 14 Superscript 0 Baseline) Superscript negative 2? Negative StartFraction 1 Over 196 EndFraction StartFraction 1 Over 196 EndFraction 0 1

Answers

Answer:

1

Step-by-step explanation:

Assuming, we want to find the value of [tex]((-14)^0)^{-2}[/tex]

Recall that: any non-zero number exponent zero is 1.

Using this property, we simplify our expression to [tex](1)^{-2}[/tex] since [tex](-14)^0=1[/tex]

Now using the property of exponents: [tex]a^{-n}=\frac{1}{a^n}[/tex]

This implies that:[tex]1^{-1}=\frac{1}{1^2}=\frac{1}{1}=1[/tex]

The correct answer is 1

Answer:

The anwser in the edge is 1.

Step-by-step explanation:

why did the donkey get q passport​

Answers

Answer:

because it can go overseas

10(a+0.50)<9.00 what is the answer I need help

Answers

Answer:

a<0.4

Step-by-step explanation:

The given inequality is

10(a+0.50)<9.00

We expand the parenthesis to get:

10*a+10*0.50<9.00

Multiply to get:

10a+5<9.00

Subtract 5 from both sides to get:

10a<9.00-5

This implies that:

10a<4

Divide both sides by 10

a<4/10

a<0.4

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