A 40% dye solution is to mixed with a 53% dye solution to get 260L of a 50% solution. How many liters of the 40% and 50% solutions will be needed

Answer:

Therefore the cost of each apple is $ 0.50 and each banana is $1.

Step-by-step explanation:

Given , Amanda buys 6 apples and 5 bananas , it will cost $8.00 and if she buys 5 apples and 7 bananas it will cost $9.50.

Let the cost of one apple be =$ x

and the cost of one banana be =$y

According to the problem,

6x+5y=8.........(1)                  5x+7y= 9.50............(2)

Equation (1)×5 - equation (2) × 6

30x +25 y-(30x+42y)= 40-57

⇔30x+25y -30x-42y= -17

⇔-17y =-17

⇔y=1

putting the value of y in equation (1)

6x+5×1=8

⇔6x = 8-5

⇔6x=3

⇔[tex]x =\frac{3}{6}[/tex]

⇔x = 0.50

Therefore the cost of each apple is $ 0.50 and each banana is $1.

Answer:                                                            

it would be 7/10

The required value of the 7 in the number is 1/10th of the given number.

Given that,
The value of 7 in the number 82.76, is to be determined.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
The number 82.76 = 8 × 10 + 2 × 1 + 1/10×7 + 1/100×6
So the position of the value 7 in the given number from the above expression is given as 1/10th.

Thus, the required value of the 7 in the number is 1/10th of the given number.

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Answer:

15 words

Step-by-step explanation:

i looked it up online

Final answer:

The total distance from the beginning of the first house's lawn to the end of the third house's lawn is 1050 feet. This calculation is done by adding the length of the first house's lawn (300 feet), the second house's (250 feet), and double the second's lawn for the third house's (500 feet).

Explanation:

To calculate the total length of the lawns from the first to the third house, we first determine the length of each lawn individually and then add them together:

The first house has a lawn that is 300 feet long.

The second house has a lawn that is 50 feet shorter than the first lawn, so it is 300 - 50 = 250 feet long.

The third house has a lawn that is twice the length of the second house's lawn, so it is 2 × 250 = 500 feet long.

Add the lengths of the three lawns together to find the total distance from the beginning of the first house's lawn to the end of the third house's lawn:

300 feet + 250 feet + 500 feet = 1050 feet

Therefore, it is 1050 feet from the beginning of the first house's lawn to the end of the third house's lawn.

Answer: the answer is 6

Step-by-step explanation:

The value of x is 6.

Two triangles are comparable if the measurements of their corresponding sides are proportionate. The same is true if the lengths of two sides in one triangle are proportional to the lengths of the corresponding sides in another triangle and the included angles are congruent.

Given:

As, the rectangles in the figure below are similar.

Using the property of similarity

x/(x+ 4) = 3/5

5x = 3x + 12

5x - 3x = 12

2x = 12

Divide both side by 2

2x /2 = 12/2

x = 6

Hence, the value of x is 6.

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The adult weight of puppy B is estimated to be around 11 pounds, as we learned by understanding percentages and using a mathematical formula to determine the total from a known percentage.

The subject is Mathematics and it involves a commonly used concept known as ratios and percentages. From the question, we know that puppy B weighs 8 pounds which is about 75% of its adult weight. This means that the adult weight will be greater than 8 pounds.

To find the adult weight, we know that the puppy's current weight represents 75% of it. So, we use the formula to find the total when we know the percentage:

Therefore, we can estimate that the adult weight of puppy B will be around about 11 pounds.

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The adult weight of Puppy B will be approximately 10.67 pounds.

To find the adult weight of Puppy B, we can set up a simple proportion based on the given information that 8 pounds is 75% of its adult weight. Let's denote the adult weight as A .

We can express the relationship as:

[tex]\[ 8 \text{ pounds} = \frac{75}{100} \times A \][/tex]

To solve for [tex]\( A \)[/tex], we can multiply both sides of the equation by [tex]\( \frac{100}{75} \)[/tex] to isolate [tex]\( A \)[/tex]:

[tex]\[ A = 8 \text{ pounds} \times \frac{100}{75} \][/tex]

Now, we calculate the value of  A:

[tex]\[ A = 8 \times \frac{4}{3} \][/tex]

[tex]\[ A = \frac{32}{3} \][/tex]

[tex]\[ A \approx 10.67 \text{ pounds} \][/tex]

Therefore, the adult weight of Puppy B is approximately 10.67 pounds.

Answer:

false

Step-by-step explanation:

Step :1

Given x- 2 y =5 .......(1)

put x=1 and y= -3 on left hand side of given equation

1 - 2 (-3) = 5

1 + 6 = 5

7 ≠ 5

both sides are not equal

so it is false

Answer:

false

Step-by-step explanation:

x - 2y = 5

when x = 1, and y = -3

1 -2(-3) = 5

1 +  6 = 5

7 ≠ 5

Part a: Option c: [tex]3x+90+x-14=180[/tex]

Part b: The value of x is 26

Explanation:

Part a:

Option a: [tex]3x+x-14=180[/tex]

Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.

Thus, the equation [tex]3x+x-14=180[/tex] cannot be used to determine the value of x.

Hence, Option a is not the correct answer.

Option b: [tex]3x+90+x-14=90[/tex]

Adding all the angles in the straight line results in 180°.

Thus, adding all the angles does not equals to 90°

Hence, the equation [tex]3x+90+x-14=90[/tex] cannot be used to determine the value of x.

Hence, option b is not the correct answer.

Option c: [tex]3x+90+x-14=180[/tex]

Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°

Thus, the angles in this straight line are 3x, 90° and x-14.

Hence, adding these angles will result in 180°

Thus, the equation becomes

[tex]3x+90+x-14=180[/tex]

Hence, the equation used to determine the value of x is [tex]3x+90+x-14=180[/tex]

Thus, Option c is the correct answer.

Option d: [tex]4x+90=360[/tex]

Adding all the angles in the straight line results in 180°.

Since, not all the three angles were added in this equation and the equation equals to 180°

Hence,  the equation [tex]4x+90=360[/tex] cannot be used to determine the value of x.

Thus, Option d is not the correct answer.

Part b:

To determine the value of x, we shall add all the angles of the equation [tex]3x+90+x-14=180[/tex]

Thus, we get,

[tex]4x+76=180[/tex]

Subtracting both sides by 76,

[tex]4x=104[/tex]

Dividing both sides by 4, we get,

[tex]x=26[/tex]

Thus, the value of x is 26.

Answer:

Step-by-step explanation:

Answer:

$13.77 for three pounds of beef

Answer:

THE ANSWER WOULD BE $13.77 FOR THREE LBS OF BEEF

Step-by-step explanation:

$4.59 x 3 = $13.77

PLEASE MARK BRAINLIEST IF THIS HELPED I ONLY NEED 1 MORE

Answer 22,16,18,36

Step-by-step explanation:

Second data set 22, 16, 18, 36 is the most spread from its mean

" Mean is defined as the ratio of the sum of the all the numbers of data set to the total numbers of number present in data set."

Formula used

Mean = [tex]\frac{Sum of all the numbers in data set}{Total number of numbers}[/tex]

According to the question,

Given data set,

Mean of first data set,

Substitute the values in the formula we get,

Mean = [tex]\frac{14 +26 + 24 + 28}{4}[/tex]

          [tex]=\frac{92}{4}\\ =23[/tex]

Mean of second data set,

Substitute the values in the formula we get,

Mean = [tex]\frac{22 +16 + 18 + 36}{4}[/tex]

          [tex]=\frac{92}{4}\\ =23[/tex]

Mean of third data set,

Substitute the values in the formula we get,

Mean = [tex]\frac{22 +28 + 20 + 22}{4}[/tex]

          [tex]=\frac{92}{4}\\ =23[/tex]

Mean of fourth data set,

Substitute the values in the formula we get,

Mean = [tex]\frac{21 +19 + 27+ 25}{4}[/tex]

          [tex]=\frac{92}{4}\\ =23[/tex]

Hence, second data set 22, 16, 18, 36 is the most spread from its mean.

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Answer:

148/15 or 9 13/15

Step-by-step explanation:

7 2/3 + 2 1/5

7 2/3 needs to be translated into a bigger fraction by taking 7 and multiplying it with the denominator and then adding onto the numerator.

7 2/3 = 23/3

The same goes for 2 1/5.

2 1/5 = 11/5

Now we have 23/3+11/5 so we need to find a common denominator which would be fifteen.

23/3 + 11/5

23/3 x 5/5 = 115/15

11/5 x 3/3 = 33/15

115/15 + 33/15 = 148/15

The value of 7 2/3 + 2 1/5 is 9 13/15

The lowest common multiple of 3 and 5 is 15. Therefore, 7 2/3 + 2 1/5 will be calculated thus:

= 7 2/3 + 2 1/5

= [7 + 2/3× 15] + [2 1/5 × 15]

= 7 10/15 + 2 3/15

= 9 13/15

In conclusion, the value of the fraction 7 2/3 + 2 1/5 is 9 13/15

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Answer:

the system would have crossed one solution

Answer:

[tex]\large \boxed{\$35.80}[/tex]  

Step-by-step explanation:

Discount = Regular price × % discount

[tex]\text{Discount} = \text{\$179 regular price} \times \dfrac{\text{\$20 }}{\text{\$100 regular price}} = \textbf{\$35.80}\\\text{Selma will save $\large \boxed{\mathbf{\$35.80}}$}[/tex]

Selma will save $35.8 after getting 20% discount on regular price.

" Discount is the deduction amount from the regular price assigned to any product."

Formula used

Discount = Regular Price × discount %

According to the questions,

Regular price = $179

Discount% = 20%

Substitute the value in the formula we get,

Discount = 179 × 20%

               = 179 × (20 / 100)

              = $ 35.8

Hence, Selma will save $35.8 after getting 20% discount on regular price.

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Answer:

The rate at which energy is used is called power.

Step-by-step explanation:

Answer:

Power is the answer

Step-by-step explanation:

Answer:

  A. just as it leaves the bat

Step-by-step explanation:

It depends on the assumptions you make.

If you assume that the speed is reduced by air resistance, and that the hit is a fly ball, then the speed begins to slow as soon as the ball leaves the bat. Its maximum speed will be just as it leaves the bat.

__

If you assume no air resistance and that the ball takes 1 second to reach the ground, the speed will be a maximum just as the ball hits the ground, a second after it leaves the bat.

__

If you assume no air resistance and that the ball takes 2 seconds to reach the ground, the speed will be a maximum just as the ball hits the ground, two seconds after it leaves the bat.

__

Depending on the nature of the pitch and the hit (and the assumptions you make about energy loss and gain), the maximum speed may be as the ball leaves the pitcher's hand, or just as the ball hits the bat.

__

My guess is that the assumptions listed for the first case are the ones you're most likely expected to use. The answer above reflects that choice.

Answer:

C

Step-by-step explanation:

Note that (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 4x + 1 + x² - 5 ← collect like terms

= x² + 4x - 4 → C

Answer:

$8.48

Step-by-step explanation:

$8.00 x .06%= $ .48  ---$8.00 + $ .48=$8.48

Answer:

$8.48

Step-by-step explanation:$8.00 x .06%= $ .48  ---$8.00 + $ .48=$8.48

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Step-by-step explanation:

Given,

Weight of fido's dog = 35 pounds

Time period = 6 months

Goal weight to reach = 28 or less pounds

Let,

m be the weight to be lose each month.

Weight of dog - Time period * Weight to lose each month ≤ Goal weight

[tex]35-6m\leq 28\\-6m\leq 28-35\\-6m\leq -7[/tex]

Dividing both sides by -6

[tex]\frac{-6m}{-6}\leq \frac{-7}{-6}\\\\m\leq 1.17[/tex]

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Keywords: division, subtraction

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Final answer:

By dividing the total hours of bike use (8 hours) by the total cost ($42), you find that a customer gets approximately 0.19 hours of bike use per dollar when renting a bike at Keller's Bike Rentals, rounded to the nearest hundredth.

Explanation:

To determine how many hours of bike use a customer gets per dollar at Keller's Bike Rentals, we need to perform a simple division calculation using the information provided. The total cost of renting a bike for 8 hours is $42.

Dividing the total hours of bike use by the total cost gives us the hours of bike use per dollar:

Hours per dollar = Total hours of bike use / Total cost

Hours per dollar = 8 hours / $42

Now, we perform the division:

Hours per dollar = 0.19047619...

When rounded to the nearest hundredth, this is approximately 0.19 hours per dollar.

The quotient is 212.96.

Solution:

Given expression is [tex]\frac{212,960}{1000}[/tex].

Divide the given expression to find the quotient.

Decimal rule when numerator is divided by 10, 100, 1000, 10000 etc..

[tex]$212960\div1000=\frac{212960}{1000}[/tex]

Here, we have 3 zeros in the denominator.

So, the decimal point is move 3 digit to the left of the last digit.

[tex]$212960\div1000=212.96[/tex]

So, option C is the right answer.

Hence the quotient is 212.96.

Answer:212.96

Step-by-step explanation:

Answer:

2, there'd be more, but natural numbers are like, whole numbers, integers basically except they're like non-negative integers. Enough ranting. So 4 and 8 would be the numbers because they are mulitplied by 4,1, and 2.

Since 4 cant go into 10 completely without a decimal, there'd only be 2 multiples.

Confusing explanation, but i think my answer is correct. (or is it, dun dun dun!)

Have a good day~

Answer:

y=-65/9

Step-by-step explanation:

12(5+2y)=4y-(5-9y)

60+24y=4y-5+9y

60+24y=13y-5

60+24y-13y=-5

60+9y=-5

9y=-5-60

9y=-65

y=-65/9

The value of y that satisfies the equation is y = -65/11.

The equation is given as follows:

12(5+2y) = 4y - (5 - 9y)

To find the value of y that satisfies the equation, we can solve for y by simplifying the equation.

Given equation:

12(5 + 2y) = 4y - (5 - 9y)

First, let's simplify both sides of the equation:

60 + 24y = 4y - 5 + 9y

Next, let's combine like terms:

24y - 4y - 9y = -5 - 60

Simplifying further:

11y = -65

Finally, divide both sides of the equation by 11 to solve for y:

y = -65/11

Therefore, the value of y that satisfies the equation is y = -65/11.

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Answer:

25

Step-by-step explanation:

Solving the inequality

x - 3 ≥ 2 ( add 3 to both sides )

x ≥ 5

Thus the least value of x is x = 5, hence

least possible value of 5x = 5(5) = 25

Final answer:

The least possible value of 5x, when x-3≥2, is 25, as x must be at least 5, and 5x equals 25 when x is 5.

Explanation:

The student's question asks to find the least possible value of 5x given the inequality x-3≥2. To solve this, we first find the smallest value of x that satisfies the inequality. We add 3 to both sides of the inequality to isolate x, obtaining x≥3+2, which simplifies to x≥5. Therefore, the smallest value of x is 5. Now, we multiply this value by 5 to find the least possible value of 5x, which is 5×5=25.

Answer:

3.13 * 10^-1

Step-by-step explanation:

Answer:

[tex]x=27[/tex]

Step-by-step explanation:

we know that

[tex](3x+9)^o+90^o=180^o[/tex] ----> by supplementary angles (form a linear pair)

Solve for x

Combine like terms

[tex](3x+99)^o=180^o[/tex]

subtract 99 both sides

[tex]3x=180-99\\3x=81[/tex]

Divide by 3 both sides

[tex]x=27[/tex]

Answer:

1) A

2) B

Step-by-step explanation:

1)   Zoe payed a total of $77.49

$4.99 shipping fee + 14.50(n) scarves = $77.49

4.99 + 14.50n = 77.49

A

2)  

2 electrons, each have a (-1) charge

2 protons, each have a (+1) charge

-1 - 1 + 1 + 1

-2 + 2

0

B

Hope this helps :)

Answer:

200

Step-by-step explanation:

Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

[tex]c^2=a^2+b^2-2abcos\theta[/tex]

Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

[tex]$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Given ∠P and the sides r, q are known.

To find the value of p:

Option A: Law of cosines, all sides are known.

It is false by the above definition of law of cosine.

Option B: Law of cosine, two sides and the included angle are known.

It is true by the above definition of law of cosine.

Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".