Line 1 : y = 2/3x +3
Line 2 : y = 2/3x - 8

Answer:

Step-by-step explanation:

approximately 0.94625 liters per second

Answer:

Step-by-step explanation:

Answer:

The answer is below in the photo.

Answer:

We can participate in 10 triathlons.

Step-by-step explanation:

Total cost C to participate in x number of triathlon is given by the expression

C = 90x + 35

If the maximum cost of the annual triathlon is = $1000

Then we can find the maximum number of triathlons by putting C = $1000 in the expression

1000 = 90x + 35

90x = 1000 - 35

90x = 965

x = [tex]\frac{965}{90}[/tex]

x = 10.72

Therefore, we can participate in 10 triathlons.

x = liters of 20% solution

Mixing the 20% solution with the 60 L of 90% solution gives a new mixture with volume (x + 60) L. Each L of the 20% solution contributes 0.2 L of alcohol and thus a total of 0.2x L of alcohol, while the 60 L of 90% solution contributes 54 L of alcohol.

We want the concentration of the new mixture to be 80%, so we require

[tex]\dfrac{0.2x+54}{x+60}=0.8[/tex]

Solve for x:

[tex]0.2x+54=0.8x+42[/tex]

[tex]12=0.4x[/tex]

[tex]\implies\boxed{x=30}[/tex]

So you will need 30 L of the 20% solution.

To get a 80% solution, you would need to mix a certain number of liters of a 20% alcohol solution with 60 liters of a 90% solution.

To solve this problem, we can use the concept of mixture problems. Let's denote the unknown quantity of the 20% alcohol solution as 'x'. We know that the total volume of the mixture will be the sum of the volumes of the two solutions, so:

x + 60 = x + 60

Next, we can express the amount of alcohol in the original 90% solution and the resulting 80% solution:

0.90(60) + 0.20(x) = 0.80(x + 60)

Simplifying this equation will give us the value of 'x', which represents the number of liters of the 20% alcohol solution that must be added to the 60 liters of the 90% solution.

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Answer:

[tex]C=60-4t[/tex]

Step-by-step explanation:

A product costs $60 today.

The price is reduced by $4 a day, so

The genaral formula for the price of the product after t days will be

[tex]C=60-4t[/tex]

Answer:

154

Step-by-step explanation:

220-(220*30%)=154

Use this on google next time so you do not waste points on brainly

Answer:2y(3) +6 +5x(3)

(The numbers in parentheses mean they’re an exponent)

Step-by-step explanation:

Adding like terms means to simply combine terms with the same variable and/or exponent

Since there are three numbers with the same variable (y) they are combined. Since there are three numbers without an exponent/ variable,(the 3 twos) they are combined. There is no other term that can be combined with 5x(3), so you just leave it as is.

Answer: no solution

Step-by-step explanation:

First lets simplify

-2(x+3) + 2(x+4) = 24

-2x - 6 + 2x + 8 = 24

We can simplify this further by combining like terms

2=24 is the equation we get after combining like terms.

Since 2 is not equal to 24, the answer is no solution.

Answer:

Step-by-step explanation:

[tex]-2(x+3)+2(x+4)=24\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(x)+(-2)(3)+(2)(x)+(2)(4)=24\\\\-2x-6+2x+8=24\qquad\text{combine like terms}\\\\(-2x+2x)+(-6+8)=24\\\\0+2=24\\\\2=24\qquad\bold{FALSE}\\\\\text{Conclusion:}\\\\\bold{NO\ SOLUTION}[/tex]

Answer:

Step-by-step explanation:

you have to move the x’s to one side. so the equation would look like

5x = 15

then you have to divide both side of the equation by 5 to get the x by itself which leaves you with

x = 3

Answer is provided in the image attached.

Hey!

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[tex]\boxed{ \bf 100~+~25x~=~m}[/tex]

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Solution:

m = money at the end of summer.

x = how many days are in summer.

If he starts with 100 dollars at the beginning of summer, then you just want to add it depending on how many days he gets paid $25.

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Hope This Helped! Good Luck!

Answer:

B.0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

Final answer:

The constraints for a thriving population of gazelles at the zoo, with a limit of 12 female gazelles and the need for thrice as many males, are 0 < x ≤ 12 and 0 < y ≤ 36, which matches answer option B.

Explanation:

To represent a thriving population of gazelles in the zoo, we must write constraints that capture the relationship between the number of female gazelles (x) and the number of male gazelles (y). Since the zoo can only accommodate 12 female gazelles, and the herd requires three times more males than females, we can express the constraints as inequalities.

The first constraint pertains to the maximum number of female gazelles, which is 12. Therefore, we have 0 < x ≤ 12. The second constraint relates to the male gazelles, as we need three times as many males as there are females, so y = 3x. Since x has an upper limit of 12, the maximum value for y would be 36 (3 times 12).

Taking into account that we cannot have a negative number of gazelles, the constraints for a population to thrive are:

Given these constraints, the correct answer is B. 0 < x ≤ 12 and 0 < y ≤ 36.

Answer:13

Step-by-step explanation:

There are hours 2 will it take to fill the pool if it holds 80,000 gallons.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Two hoses are used to fill a swimming pool.

And, Together they fill the pool at a rate of 3 gallons every 5 seconds.

Hence, Time for to fill 80,000 gallons are,

⇒ Time = 80,000 × 3 / 5

⇒ Time = 16,000 × 3

⇒ Time = 48,000 seconds

⇒ Time = 48,000 / 36,000 hours

⇒ Time = 1.33 hours

Learn more about the proportion visit:

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Answer:C= 10

Step-by-step explanation:

1.cross multiply and you get 3c=30

2.divide both sides by 3 and you get c=10

Answer:

[tex]c=\frac{1}{10}[/tex]

Step-by-step explanation:

So the trick is to make the number before c = 1.

How do we do that?

We multiply the fraction by it's reciprocal, which is 3/5.

However, we also have to do the same thing to the other side of the equation.

Answering the problem will look like this:

[tex]\frac{5}{3} c=\frac{1}{6}\\\frac{3}{5}*\frac{5}{3}c=\frac{1}{6}*\frac{3}{5}\\\frac{3*5}{5*3}c=\frac{1*3}{6*5}\\\frac{15}{15}c=\frac{3}{30}\\c=\frac{1}{10}[/tex]

So [tex]\frac{1}{10}[/tex] is our answer!

Hey!

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Solution:

72 tropical fish and 5/9 sold.

72 / 9 = 8

8 * 5 = 40

72 - 40 = 32

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Answer:

There are 32 fish left in the tank!

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Hope This Helped! Good Luck!

Answer:

32 fishes

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] of 72.

Convert 9 to 72. 9 * 8 = 72

Multiply 5 by 8 since it is a numerator. 5 * 8 = 40

40 out of 72 fishes were sold.

72 - 40 = 32

There are 32 fishes left in the tank

Answer:

x = -2, y = -3

Step-by-step explanation:

Multiply eqn1 by the LCM of 1 and 6 i.e coefficients of x

We get:

6x - 54y = 150 (eqn1)

6x - 5y = 3 (eqn2)

- 49y = 147

y = 147

-49

y = -3

Substitute y in eqn2

6x - 5(-3) = 3

6x + 15 = 3

6x = -12

x = -2

Answer:

32500 Days

Step-by-step explanation:

[tex]7.8[/tex] × [tex]10^{5}[/tex] = [tex]780000[/tex]

We know that there are 24 hours in a day.

⇒24 Hours = 1 Day

therefore [tex]780000[/tex] hours = [tex]\frac{780000}{24} = 32500[/tex] Days

Answer:

x=6

Step-by-step explanation:

Step-by-step explanation:

1.Find a common denominator shared by all the terms (6 or multiply each term by 6/1) and multiply each term by the lcd.

4x-1=3x+3

2.Then solve

4x-1=3x+3

4x=3x+4

7x=4

x=4/7

Answer:

$12

Step-by-step explanation:

First you would have to write down the number of socks.  That is 6.  That means 6 is the first part of our equation.  Then, we have to multiply this by the $2.  You have to do this because this is how much each pair costs.  Then you would do 2 times 6 equals 12.

Answer:

If each pair of sock is 2$

and she bought 6

multiply 2 by 6

explanation

2x6 = 12

because a pair of docks is two so multiply by how much pairs she bought

Answer:

Add: 3

8

+ 1

2

= 3

8

+ 1 · 4

2 · 4

= 3

8

+ 4

8

= 3 + 4

8

= 7

8

The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 2) = 8. The fraction result cannot be further simplified by cancelling.

In words - three eighths plus one half = seven eighths.

Answer:7/8

Step-by-step explanation:The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(3/8, 1/2) = 8

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(3/8×1/1)+(1/2×4/4)=?

Complete the multiplication and the equation becomes

3/8+4/8=?

The two fractions now have like denominators so you can add the numerators.

Then:

3/8+4/8=7/8

This fraction cannot be reduced.

Answer:

I guess it is b= d divided by a - c

Answer:

Step-by-step explanation:

ab+c=d

ab=d-c

b(a)=d-c

b=d-c/a

Answer:

160 cups of milk

Step-by-step explanation:

To calculate how many quarts of milk are needed for 80 boxes of pudding mix, you multiply the boxes by the cups per box to find the total cups (240 cups) and then divide by the number of cups in a quart to get 60 quarts.

To determine how much milk will be used to make 80 boxes of pudding mix, we start by calculating the total number of cups of milk needed. Since each box uses 3 cups of milk, the total number of cups for 80 boxes is:

3 cups/box x 80 boxes = 240 cups

Next, we convert cups to quarts. We know that 1 quart equals 4 cups, so we can set up a proportion:

4 cups = 1 quart
240 cups = x quarts

Cross-multiplying to solve for x gives us:

1x = 240/4
x = 60 quarts

Therefore, the cafeteria will use 60 quarts of milk to make 80 boxes of pudding mix.

Answer:

2.084...

Step-by-step explanation:

Just write an non repeating string of any numbers that you think of but not in a pattern which will lie between decimal value of your 2 numbers

Irrational numbers between 2 and 3 include √2, which is approximately 1.414.

Irrational numbers are numbers that cannot be expressed as a ratio of integers. An example of an irrational number between 2 and 3 is √2, which is approximately 1.414. It is not possible to represent √2 as a fraction of two integers.

Answer:

Simplify the following algebraic expressions.

A) -2x + 5 + 10x - 9

B) 3(x + 7) + 2(-x + 4) + 5x

Simplify the expressions.

A) (2x - 6) / 2

B) (-x - 2) / (x + 2)

C) (5x - 5)/10

Solve for x the following equations.

A) -x = 6

B) 2x - 8 = -x + 4

C) 2x + 1/2 = 2/3

D) x/3 + 2 = 5

E) -5/x = 2

Convert to decimals.

A) 1/5

B) 120%

C) 0.2%

D) 4 8/5

Convert to percent.

A) 3/10

B) 1.4

C) 123.45

D) 2 4/5

Which of these numbers is divisible by 3?

A) 156312

B) 176314

Which of these numbers is divisible by 4?

A) 3432

B) 1257

Which of these numbers is divisible by 6?

A) 1233

B) 3432

Which of these numbers is divisible by 9?

A) 2538

B) 1451

Evaluate 8x + 7 given that x - 3 = 10.

An acute angle is any angle smaller than 90 degrees. A right angle is an angle that measures 90 degrees.

Answer:

EX: f(x) ≥ 0 over the interval [-1, 1].

Final answer:

A valid prediction about a continuous function is that it will have no breaks, jumps, or holes, and will exhibit the intermediate value property. If continuity is ensured, we can expect the function to pass through all intermediate values between any two points within a given interval.

Explanation:

A valid prediction about a continuous function is that the function will not have any breaks, jumps, or holes in its graph. This means that for any value within the domain of the function, we can find a corresponding value in the range, making the function predictable and reliable to analyze. A continuous function has the intermediate value property, which tells us that if the function takes on two values, it must take on every value in between at least once. As such, if we know the function is continuous on an interval, we can predict that it will pass through all the intermediate values between any two points in that interval.

An important concept to consider is the change that would invalidate the continuity of such a function. To illustrate, think about what would happen if our continuous function were to suddenly have a point removed or to have a sudden vertical asymptote introduced. This would create a discontinuity. So, when predicting behaviors of continuous functions, we must ensure there are no such changes or 'breaks' occurring within the interval we are considering.

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

[tex]7N = 6195[/tex]

where [tex]N[/tex] is the number of people that would show up to the zoo on a given day.

Dividing both sides by 7 will give us the answer:

[tex]N = 885[/tex]

To estimate the number of visitors at the Fort Worth Zoo per day, we rounded the total weekly visitors to 6,200 and divided by 7. An estimated average daily attendance is about 880 visitors.

To estimate the number of people attending the Fort Worth Zoo on one day last week, we can divide the total number of visitors by the number of days the zoo is open.

We have a total of 6,195 visitors and the zoo is open 7 days a week. Since we are using compatible numbers, we can round 6,195 to the nearest hundred to get 6,200.

Now, we divide 6,200 by 7.

It can be tricky to divide by 7, so let's simplify. We know that 7 times 900 is 6,300, which is slightly more than 6,200.

Thus, we can estimate a bit lower. 7 times 800 is 5,600, which is too low, so we need a number between 800 and 900.

If we try 7 times 850, we get 5,950, which is still low but much closer.

Therefore, an estimate between 850 and 900 for the average daily attendance would be reasonable.

To be more precise, let's pick 880 as a compatible number which when multiplied by 7 gives us 6,160, very close to our rounded number of 6,200.

Hence, approximately 880 visitors attended the zoo each day last week.

Answer:

[tex]6\sqrt{2}+2\sqrt{3}[/tex]

Step-by-step explanation:

To find the perimeter of something, you add all sides. But the issue here is simplifying the squares. The easy way to do this is separate out as many squares as you can. You'll see what I mean.

[tex]\sqrt{12} + 2\sqrt{2} + \sqrt{32}\\ \sqrt{4*3}+2\sqrt{2} + \sqrt{4*4*2}\\  \sqrt{4}*\sqrt{3}+2\sqrt{2} +\sqrt{4} *\sqrt{4} *\sqrt{2}\\ see?\\2\sqrt{3}+2\sqrt{2} +4 \sqrt{2}\\ so the answer is:\\6\sqrt{2}+2\sqrt{3}[/tex]

Answer:

Exact form: 43/12

Mixed number form: 3 7/12

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

Yes

Step-by-step explanation:

1/3 is less than 1 because 1/3 is equal to .3333 and so on

.3333 is less than 1