Gold and silver are mixed in the ratio 7:4.if 36gm of silver is used.How many gold is used

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

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Answer:

4

Step-by-step explanation:

The function y = -2x² + 20x - 44 can be written in vertex form as y = -2(x - 5)² + 6. The vertex of this function is (5, 6).

To write the function in vertex form, we need to complete the square. First, we factor out the coefficient of x², which is -2: y = -2(x² - 10x + 22). To complete the square, we need to add and subtract the square of half the coefficient of x, which is (10/2)² = 25:

y = -2(x² - 10x + 25 - 25 + 22)

y = -2((x - 5)² - 3)

y = -2(x - 5)² + 6

Now we have the function in vertex form, where the vertex is (5, 6). The negative coefficient of the x² term tells us that the parabola opens downwards. The vertex is the lowest point on the graph, so we can see that the minimum value of the function is y = 6.

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Answer: P= 2{(12x+7) + (9x+11)} or 42x + 36

Step-by-step explanation:

The formula for the perimeter of a rectangle is P=2(l+w)

P= 2{(12x+7) + (9x+11)}

Simplified to 42x + 36

If 37 kids stayed home, the daycare normally has 143 kids.

We can use algebra to solve the problem.

Let's call the total number of kids in the daycare "x".

We know that 74% of the kids were absent, which means that 26% (100% - 74%) of the kids came to the daycare.

Note:  37 kids stayed home.

Set up the following equation:

0.26x = 37

To solve for x,  divide both sides by 0.26:

x = 37 / 0.26

x ≈ 142.31

Therefore, the daycare normally has approximately 143 kids.

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Answer:

Let's solve for x.

4x+2y=345x−6y

Step 1: Add -345x to both sides.

4x+2y+−345x=345x−6y+−345x

−341x+2y=−6y

Step 2: Add -2y to both sides.

−341x+2y+−2y=−6y+−2y

−341x=−8y

Step 3: Divide both sides by -341.

−341x

−341

=

−8y

−341

x=

8

341

y

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x+2y=34;5x−6y=34

Step: Solve 4x+2y=34 for x:

4x+2y=34

4x+2y+−2y=34+−2y(Add -2y to both sides)

4x=−2y+34

4x 4 =−2y+34 4

(Divide both sides by 4)

x=−1/2y+17/2

Step: Substitute

−1/2y+17/2

solve for x in 5x−6y=34:

5x−6y=34

5(−1/2y+17/2)−6y=34

−17/2y+85/2=34(Simplify both sides of the equation)

−17/2y+85/2+−85/2=34+−85/2

(Add (-85)/2 to both sides)

−17/2

y=−17/2/−17/2y−17/2=−17/2/−17/2

(Divide both sides by (-17)/2)

y=1

Step: Substitute 1 for y in

x=−1//2y+17/2:

x=−1/2y+17/2

x=−1/2(1)+17/2

x=8 (Simplify both sides of the equation)

Answer:

Step-by-step explanation:

15.23 units

The coordinates of the orthocenter are (9/4, 1/4).

Answer:M = (2, -1)N = (3/2, 15/11)

Orthocenter = (9/4, 1/4)

iii) The point of intersection of the three altitudes of a triangle is known as the orthocenter.

The orthocenter of triangle ABC can be calculated by finding the point of intersection of any two altitudes of the triangle.

Let's find the point of intersection of the altitudes through B and C.

The altitude through B is perpendicular to AC and passes through B, so its slope is the negative reciprocal of AC, which is:1/AC = -1/2

Therefore, the equation of the altitude through B is:y - 6 = (-1/2)(x - 3)

Simplifying this, we get:y = (-1/2)x + (15/2)

The altitude through C is perpendicular to AB and passes through C, so its slope is the negative reciprocal of AB, which is:-11/9

Therefore, the equation of the altitude through C is:

y - 5 = (-11/9)(x + 2)

Simplifying this, we get:y = (-11/9)x + (77/9)

Solving these two equations simultaneously, we get:x = 9/4 and y = 1/4

Therefore, the coordinates of the orthocenter are (9/4, 1/4).

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Answer:

The x value of a is 5

Step-by-step explanation:

The directions right and left on the grid is equal to the x-axis while the directions up and down is equal to the y-axis

Answer:

5

Step-by-step explanation:

the answer is 5

Answer:

c=13/14

Step-by-step explanation:

150/11=13 R7

14 because she still needs $7

or 13 because she can work 2hrs walking dogs

Answer:6d+11c_>150

Step-by-step explanation:

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Answer:

Step-by-step explanation:

the answer is wrong its  34.3

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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Answer:

you would do 1/2 4 times if that makes scence so 1/2x1/2x1/2x1/2 so your final awnser is 0.0625

Step-by-step explanation:

Answer:

x = 45

y = 45

z = 11.1

Step-by-step explanation:

Remark

The triangle is a right triangle. That means that it has 1 right angle.

It is also isosceles which means that the two legs that are not the hypotenuse are equal.

Result: z and 11.1 are equal z = 11.1

More remark

If the triangle is isosceles, that means that the angles that are not right angles must also be equal.

90 + x + y = 180

but x = y

90 + 2x = 180                  Subtract 90

2x = 180 - 90                   Divide by 2

2x/2 = 90/2

x = 45

Answer: Option C

Given the linear equation

y = x + 2

when x = 0

y = 0 + 2

y = 2

when x = 1

y = 1 + 2

y = 3

when x= 2

y = 2 + 2

y = 4

when x = 3

y = 2 + 3

y = 5

Therefore, option C is likely to fit the linear equation

Answer:

4 m squared minus 20 m n + 25 n squared; a perfect square trinomial

Step-by-step explanation:

Given expression,

(negative 2 m + 5 n) squared

By using (a+b)² = a² + 2ab + b²,

∵ A trinomial which is the square of a binomial is called a perfect square trinomial.

Thus,  is a perfect square trinomial.

Answer:

\(36\)

Step-by-step explanation:

The expression \(_nC_k\) is used to denote the number of ways you can choose \(k\) things from a set of \(n\) things. It is equal to:

\(_nC_k=\binom{n}{k}=\frac{n!}{k!(n-k)!}\)

In this case, \(n=9\) and \(k=2\), so:

\(\implies \frac{9!}{2!(9-2)!}=\frac{9!}{2!7!}=\boxed{36}\)

You can also think of it like this:

\(_9C_2\) is saying 9 choose 2. We are choosing 2 things from a set of 9 things, where order doesn't matter. For the first thing we choose, there are 9 options. Then 8 options, 7, and so on. Since we're only choosing two things, there are \(9\cdot 8=72\) permutations. However, the order of which we choose each thing does not affect what we've chosen overall (e.g. If we're choosing two donut flavors original and strawberry, it doesn't matter which flavor I choose first, because I'm still getting the same two flavors). Therefore, we must divide this by the number of ways we can arrange two distinct values, which is \(2!\). Our answer is thus \(\frac{72}{2!}=\frac{72}{2}=\boxed{36}\)

=========================================================

Explanation:

We have 9*8 = 72 different permutations. This is if we used the nPr formula with n = 9 and r = 2.

Notice the countdown from 9 to 8. This is because we don't reuse the same element twice.

Since order doesn't matter with nCr, we will divide by 2. This is because something like AB is the same as BA. So we go from 72 to 72/2 = 36

The value 36 is found in Pascal's Triangle in the row that has 1,9,... at the start of it. Start at the left hand side and count exactly 3 spaces to the right, and you should land on 36.

To find the sample size needed to estimate a proportion with a given margin of error and confidence level, we can use the formula:

n = (z^2 * p * (1-p)) / (E^2)

where n is the sample size, z is the z-score corresponding to the desired confidence level, p is the estimated proportion, and E is the desired margin of error.

First, if we have no prior knowledge about the population proportion p, we can use a conservative estimate of p = 0.5, which maximizes the sample size needed. For a 95% confidence level and a margin of error within 3%, the z-score corresponding to a 95% confidence level is approximately 1.96. Plugging these values into the formula, we have:

n = (1.96^2 * 0.5 * (1-0.5)) / (0.03^2) ≈ 1067

So, if we have no prior knowledge about p, a sample size of approximately 1067 is needed.

Next, if we have reason to believe that p = 0.7, we can substitute this value into the formula:

n = (1.96^2 * 0.7 * (1-0.7)) / (0.03^2) ≈ 727

Therefore, if we assume a known population proportion of p = 0.7, a sample size of approximately 727 is needed.

Finally, assuming p = 0.9, we have:

n = (1.96^2 * 0.9 * (1-0.9)) / (0.03^2) ≈ 1037

Hence, if we assume a known population proportion of p = 0.9, a sample size of approximately 1037 is needed.

The relationship between the sample size and estimates of p is that as the estimated proportion p moves away from 0.5 (towards either extreme of 0 or 1), the required sample size decreases. This is because when p is closer to 0 or 1, the variability in the estimated proportion decreases, reducing the sample size needed to achieve a desired margin of error. Conversely, when p is closer to 0.5, the variability increases, necessitating a larger sample size for the same margin of error.

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Answer:

There are different methods to express a two logarithm into a single logarithm, depending on the specific form of the logarithms involved. Here are some examples:

Logarithms with the same base:

If you have two logarithms with the same base, you can use the following logarithmic identity:

log_a(x) + log_a(y) = log_a(xy)

Using this identity, you can express a sum or difference of logarithms with the same base as a single logarithm:

Example 1: log_2(3) + log_2(5) = log_2(3*5) = log_2(15)

Example 2: log_5(7) - log_5(2) = log_5(7/2)

Logarithms with different bases:

If you have two logarithms with different bases, you can use the following change of base formula to express them with a common base:

log_a(x) = log_b(x) / log_b(a)

Using this formula, you can rewrite a logarithm with a base a as a logarithm with a base b:

Example 1: log_2(7) = log_10(7) / log_10(2)

Example 2: log_5(2) = log_2(2) / log_2(5)

Once you have expressed both logarithms with the same base, you can apply the logarithmic identity from method 1 to simplify them into a single logarithm.

Answer:

3x^3 - 2x^2

Step-by-step explanation:

This is the answer because for the equation 3x^3 - 2x^2, nothing further can be done to this equation since there are no like terms.

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

Answer:

1

Step-by-step explanation:

\(=\frac{\sqrt{6} }{\sqrt{6} } \\\\=\frac{\sqrt{6} }{\sqrt{6} } *\frac{\sqrt{6} }{\sqrt{6} } \\\\=\frac{6}{6} \\\\=1\)

Hope it will help you.

Answer:

\(1\)

explanation:

\(\frac{\sqrt{6} }{\sqrt{6} }\)

\(1\)

Answer:

slope: 3

y-intercept: 1

slope-intercept form equation: y = 3x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the equation you're given, 10 = 3(3) + b, is already in slope-intercept form and also already has the slope identified (it's 3!) so thankfully that's one less thing to solve for! :)

all you have to do now is solve for b.

first, multiply 3(3).

10 = 3(3) + b

10 = 9 + b

then subtract 9 from both sides of the equation. 9 and -9 cancel each other out, so the only thing you have to do for this step is subtract 9 from 10.

10 - 9 = b

1 = b aka b = 1

and now you have your b value!

so your slope is 3 and your y-intercept is 1.

i hope this helps! have a nice rest of your day <3

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Answer:

i think x=7

Step-by-step explanation

Answer:

x=7

Step-by-step explanation:

The toll charged for driving on a certain stretch of a toll road is $3, except during rush hours when the toll is $5. Here's a step-by-step explanation:
1. The regular toll for driving on the toll road is $3. This means that outside of rush hours, you will need to pay $3 to use the road.
2. Rush hours are between 7 a.m. and 10 a.m. and between 4 p.m. and 7 p.m. During these times, the toll increases to $5. This means that if you drive on the toll road between 7 a.m. and 10 a.m. or between 4 p.m. and 7 p.m., you will need to pay $5 instead of the regular $3.
To summarize, the toll for driving on a certain stretch of a toll road is $3, but during rush hours (between 7 a.m. and 10 a.m. and between 4 p.m. and 7 p.m.), the toll increases to $5.

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