A blue rope is three times as long as the red rope. A green rope is five times as long as the blue rope. If the total length is 508.25 meters, what is the length of the blue rope?

Answers

Answer 1

Answer:

The length of the blue rope is 80.25 meters.

Step-by-step explanation:

B = Blue Rope

G = Green Rope

R = Red Rope

B=3R (Blue is 3 x as long as Red)

G=5B (Green is 5 x as long as Blue)

B+G+R = 508.25 (The three ropes together are 508.25 meters)

Since B=3R, I will rewrite the equation above

3R + G + R = 508.25

Now, I will write G in terms of R:

G=5B

B=3R, so 5B = 15R (multiply both sides by 5) which means that G=5B=15R, so G=15R.

Rewrite the equation again in terms of R:

3R + 15R + R = 508.25

19R = 508.25 (combine like terms)

R = 26.75 (divide both sides by 19 to solve for R)

Now, use the value 26.75 (R, which is the length of the red rope) to solve for B (the length of the blue rope):

B=3R

B=3(26.75)

B=80.25 meters


Related Questions

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

Estimate the total percentage of complaints about parking difficulties and the location of the store. (nearest whole percent)

Answers

Answer:

i got 11%

Step-by-step explanation:

The percentage complaint about parking and location is 58%. The correct option is B

From the histogram ;

Difficulty parking = 250Isolated location = 200

Sum of complaints : (200 + 250) = 450

The total number of complaints :

(450) + 150 + 125 + 50 = 775

Percentage about parking and location :

(450 / 775) × 100% = 58.06

Hence, the percentage complaint about parking and location is 58%

Complete Question:

Customer Complaints Estimate the total percentage of complaints about parking difficulties and the location of the store. (nearest whole percent)

A 47%

B 58%

C 75%

D 68%

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)

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].

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%.

The garden outside Ms.Mertz's class needs 5 liters of water a week. Jacob poured 326 millimeters of water on the garden on Monday. SEAN poured 1.5 liters of water on Tuesday. Gavin poured 2,312 ml of water on Wednesday. Stephen poured 894ml of water on Thursday. Did they pour enough water in the garden? If not, how much more water is needed?

Answers

Answer:

Enough water has been poured .

Step-by-step explanation:

The garden needed water in a week = 5 liters

Jacob poured water on Monday = 326 ml = ( 326/ 1000) liters = 0.326 liters.

SEAN poured water on Tuesday = 1.5 liters

Gavin poured water on Wednesday = 2312 ml = ( 2312/ 1000) = 2.312 liters.

Stephen poured water on Thursday = 894 ml = ( 894/ 1000)  = 0.894 liters

The total amount of water poured by all these people = 0.326 + 1.5 +2.312 +0. 894 = 5.032 liters

Here we can see that water has been poured is more than the water required  in a week.

Final answer:

After converting all the water measurements to milliliters and summing them up, the garden received 5.032 liters of water over four days, which is slightly above the required 5 liters per week. Thus, the garden received enough water.

Explanation:

The question asks if the garden outside Ms. Mertz's class received enough water over a week. To determine this, we need to add up the amounts of water poured each day and compare it to the required 5 liters per week.

Jacob poured 326 milliliters (ml) on Monday.SEAN poured 1.5 liters (l), which is 1500 ml, on Tuesday.Gavin poured 2,312 ml on Wednesday.Stephen poured 894 ml on Thursday.

First, we convert all measurements to the same unit (milliliters). Then we sum up all the amounts:

326 ml (Monday) + 1500 ml (Tuesday) + 2312 ml (Wednesday) + 894 ml (Thursday) = 5032 ml

Since 1 liter = 1000 milliliters, we divide 5032 ml by 1000 to convert to liters:

5032 ml = 5.032 liters

The garden received 5.032 liters over the four days, which is just above the required 5 liters of water per week.

Therefore, the garden has received enough water for the week, with a small excess of 32 ml.

why did the donkey get q passport​

Answers

Answer:

because it can go overseas

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:

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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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

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

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.

what is the rise,run and slope??

Answers

Answer:

y axis over x axis is the right answer

Answer:

Rise is 2 run is -1.  Slope is [tex]-\frac{2}{1}[/tex].

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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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

what is 1 5/6 of $84.00

Answers

Answer:

425/2

Step-by-step explanation:

425/2
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Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
-78x+52=-52x-78−78x+52=−52x−78minus, 78, x, plus, 52, equals, minus, 52, x, minus, 78

(Choice B)
B
52x+52=52x-7852x+52=52x−7852, x, plus, 52, equals, 52, x, minus, 78

(Choice C)
C
58x+52=78x-7858x+52=78x−7858, x, plus, 52, equals, 78, x, minus, 78

(Choice D)
D
58x+52=-78x-7858x+52=−78x−7858, x, plus, 52, equals, minus, 78, x, minus, 78

Answers

The equations which have exactly one solution are:

Choice A: [tex]-78x+52=-52x-78[/tex]

Choice C: [tex]58x+52=78x-78[/tex]

Choice D: [tex]58x+52=-78x-78[/tex]

Explanation:

Choice A: [tex]-78x+52=-52x-78[/tex]

Adding both sides by 52x, we have,

[tex]-26x+52=-78[/tex]

Subtracting both sides by 52,

[tex]-26x=-130[/tex]

Dividing both sides by -26,

[tex]x=5[/tex]

Hence, the equation [tex]-78x+52=-52x-78[/tex] has exactly one solution.

Thus, Choice A is the correct answer.

Choice B: [tex]52 x+52=52 x-78[/tex]

Subtracting both sides by 52x,

[tex]52=-78[/tex]

Since, both sides are not equal.

It has no solution.

Thus, Option B is not the correct answer.

Choice C: [tex]58x+52=78x-78[/tex]

Subtracting both sides by 78x,

[tex]-20x+52=-78[/tex]

Subtracting both sides by 52,

[tex]-20 x=-130[/tex]

Dividing both sides by -20,

[tex]x=6.5[/tex]

Hence, the equation [tex]58x+52=78x-78[/tex] has exactly one solution.

Thus, Choice C is the correct answer.

Option D: [tex]58x+52=-78x-78[/tex]

Adding both sides by 78x,

[tex]136x+52=-78[/tex]

Subtracting both sides by 52,

[tex]136x=-130[/tex]

Dividing both sides by 136,

[tex]x=-\frac{65}{68}\\x=-0.956[/tex]

Hence, the equation [tex]58x+52=-78x-78[/tex] has exactly one solution.

Thus, Choice D is the correct answer.

Answer

a

Step-by-step explanation:

it must =180

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

-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

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)

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.

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:

There are 15 postcards in 3 equal stacks. How many postcards are in each stack Complete the bar model to solve Then write a division equation for the bar model.

Answers

There are 15. That is because 15 divided by 3 is 5

Answer:

5 postcards in each stack. 15 divded by 3 equals 5.

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.

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

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]

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

what is -1 1/2 as a decimal

Answers

-11/2 as a decimal is -5.5

Solve 3/2 x - 4 = 16​

Answers

x = 13 1/3

hope this helped!

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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