What’s 1/5 + 1/2 ? Pls help me

Answer: 4

i hope this helps

the first step was

5=2x-3

5=2x-3

then the picture shows the rest

Answer:

\(x = 4\)

Step-by-step explanation:

\(5 = 2x - 3\)

Add 3 both sides:

\(\rightarrow 5 + 3 = 2x - 3 + 3\)

\(\rightarrow 8 = 2x\)

Divide 2 both sides:

\(\rightarrow \dfrac{8}{2} = \dfrac{2x}{2}\)

\(\rightarrow\boxed{4 = x}\)

Answer:

y=-23/6

Step-by-step explanation:

Answer:

y=-26

Step-by-step explanation:

multiply each side by 3

Y+1/2-2y-3=12

Multiply each side by 2

Y+1-2y-3=24

Add 3 to each side

Y+1-2y=27

Subtract each side by 1

Y-2y=26

-y=26

Multiply each side by -1

Y=-26

Answer:

1.2 hours

Step-by-step explanation:

Recall :

Distance = speed * time

Let the time taken = x

Creating an equation for the question :

Distance of train A + Distance of train B = 192

70 * x + 90 * x = 192

70x + 90x = 192

160x = 192

x = 192 / 160

x = 1.2

It takes 1.2 hours to be 192 miles apart.

Answer:

\(6 \pm 2.861(0.3354)\)

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.861.

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.861\frac{1.5}{\sqrt{20}} = 2.861(0.3354)\)

In which s is the standard deviation of the sample and n is the size of the sample.

The format of the confidence interval is:

\(S_{M} \pm M\)

In which \(S_{M}\) is the sample mean

So

\(6 \pm 2.861(0.3354)\)

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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Answer:

The second option/ B

Step-by-step explanation:

6 coins plus 4 coins is 10 coins, and you can’t forget the x amount of pennies.

Answer:

D)12.5

Step-by-step explanation:

y/2.5=5

y=5*2.5

y=12.5

Answer:

66 es pero que te ayude ■■♤♤

Answer:

227.5

Step-by-step explanation:

basically for a triangle prism you would do is

(1÷2) since it's a triangle and multiple all 3 angels

ex: 1/2 × 5 × 7 × 13

Answer:

227.5 cubic yards

Step-by-step explanation:

Formula for area of triangular prism is:

1/2 • length x height x width

Use formula with the given dimensions:

1/2 • 7 • 5 • 13 = 227.5

Answer: 1017.36

Step-by-step explanation: The equation set for the volume of a cylinder is V=πr2h (V=pie x radius squared x height). So now all you do is plug in your values! Before that, you have to make sure that your given diameter is converted into radius instead. Radius is just 1/2 of the diameter, so your radius should be 4.5. V=3.14 x 4.5^2 x 16. So the volume should be 1017.36. :)

Answer:

\(1017.9cm^3\)

Step-by-step explanation:

\(V= volume\\r= 4.5 cm\\h= 16cm \\pi =3.14\\\)

The formula for the volume of a cylinder (can) is \(V=\pi r^2h\) first you need to find the radius \((r)\) by dividing the diameter by 2 .

\(9/2=4.5\)

Now plug your numbers into the formula.

\(V=3.14*4.5^2*16\\\\V= 1017.9\)

So the volume of the can of tomatoes (cylinder) is

\(=1017.9cm^3\)

Answer:

595

Step-by-step explanation:

So, the first step in solving this problem is finding the area of the base. To do this, we can split the triangle into halves, making two triangles with legs 5 and 7. Now, we just need to find the area for one triangle, and then multiply it by 2. The area of one triangle with legs 5 and 7 is 17.5, because (5*7)/2 is the formula for finding the area of the triangle. Now, we need to multiply the area of this triangle by 2 to get the area of the full triangle. 17.5*2 = 35, so the area of the base of the triangular prism is 35. Now, all we have to do is multiply the base by the height. Eventually, multiplying 35 * 17, we get 595.

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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Answer: y = 40x + 750

Step-by-step explanation:

Linear model;

y = mx + c

y is the total cost of buying granite counter tops for a certain number of square foot as well as the cost to install the counter top.

m is the cost of granite counter tops per square foot which is $40 in this case.

x is the number of square feet required.

c is the base pay for the installation of the counter top which is $750

Linear model will therefore look like this;

y = 40x + 750

To test it. Assume you want enough granite tops for 10 square feet. How much would it cost;

= 40 (10) + 750

= $1,150

Answer:

I think it’s 100 square feet

Step-by-step explanation:

Answer:

0.125 mm

Step-by-step explanation:

A/L=W

W=0.125

Answer:

yea

Step-by-step explanation:

The Least Common Multiple (LCM) for 98 and 231, notation LCM (98, 231), is 3234.

Solution by using the division method:

This method consists of grouping by separating the numbers that will be decomposed on the right side by commas while on the left side we put the prime numbers that divide any of the numbers on the right side. We starting with the lowest prime numbers, divide all the row of numbers by a prime number that is evenly divisible into 'at least one' of the numbers. We stop when it is no longer possible to divide (the the last row of results is all 1's). See below how it works step-by-step.

2 | 98, 231

3 | 49, 231

7 | 49, 77

7 | 7, 11

11 | 1, 11

1 | 1, 1

The LCM is the product of the prime numbers in the first column, so:

LCM = 2 . 3 . 7 . 7 . 11 = 3234

Solution by listing multiples:

This method consists of listing the multiples of all the numbers that we want to find the LCM. Multiples of a number are calculated by multiplying that number by the natural numbers 2, 3, 4, ..., etc. See below:

* The multiples of 98 are 98, 196, 294, 392, 490, 588, ..., 3234

* The multiples of 231 are 231, 462, 693, 924, 1155, ..., 3234

Because 3234 is the first number to appear on both lists of multiples, 3234 is the LCM of 98 and 231.

Hence the answer is The Least Common Multiple (LCM) for 98 and 231, notation LCM (98, 231), is 3234.

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Answer:

X = 7

Step-by-step explanation:

7 + 1 = 8

7 - 3 = 4

4 is half of 8

Answer:

x = 7

Step-by-step explanation:

To find the value of x we can use similarity ratio

3/6 = (x-3)/(x+1) cross multiply expressions

3x + 3 = 6x - 18

3 + 18 = 6x - 3x

21 = 3x divide both sides by 3

7 = x

Answer:

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

\(CI=\hat p\pm MOE\)

Given:

\(\hat p=0.40\\MOE=0.03\)

(a)

Compute the confidence interval as follows:

\(CI=\hat p\pm MOE\)

     \(=0.40\pm0.03\\\\=(0.37, 0.43)\)

(b)

Since the confidence interval consists of values less than 50%, it implies that there is not enough evidence to suggest that more than 50% of Americans approve of Trump.

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

The width would be 5, and the length would be 15.

Step-by-step explanation:

To solve this problem, first look at the perimeter. If the perimeter of the rectangle is 40m, then we can now solve the problem.

Since we don't know the width or the length, first, say that the width is w.

Width=w

Now, since the length is three times the width, we can write 3w for the length.

Length=3w.

Now, combine like terms.

w+3w+w+3w=40

8w=40

Divide by 8 on both sides.

40/8=5

w=5.

Since now we know that the width is 5, plug in 5 for w.

3(5)=15

w=5

The width would be 5, and the length would be 15.

Hope this helps! Have a great day! :D

Answer:

Step-by-step explanation:

Let us assume that,

→ Perimeter = 40 m

→ Width = x

→ Length = 3x

Perimeter of rectangle formula,

→ P = 2(l + w)

Forming the equation,

→ 2(3x + x) = 40

Now the value of x will be,

→ 2(3x + x) = 40

→ 2(4x) = 40

→ 8x = 40

→ x = 40/8

→ [ x = 5 ]

Then the length and width is,

→ Width = x = 5 m

→ Length = 3x = 3(5) = 15 m

Hence, these are the answers.

The lengths and breadths of the rectangular shaped figures indicates;

a) i) Rs 6,900

b) 1500 m

c) (i) 180 m, (ii) 180 m, (iii) 45 m

Creative section B) (i) 86 meters, (ii) 430 meters

b) (i) 288 meters

A rectangle is a quadrilateral that has congruent facing sides and four interior right angles.

The possible part of the question includes;

The length of the fence = 27 meters

The breadth = 19 meters

The perimeter of the fencing = 2 × (27 + 19) = 92 meters

The length of three round of fencing = 3 × 92 meters = 276 meters

(i) The cost per meter = Rs 25

The total cost of fencing = Rs 25/m × 276 m = Rs 6,900

b) The length of the square track = 75 m

The distance at covered after the 5th round = 5 × 4 × 75 m = 1500 m

c) (i) The length of wire required for one round = 540 m/3 = 180 m

(ii) The perimeter of the pond = 180 m

(iii) The length of the pond = 180 m/4 = 45 m

Creative Section;

(i) The perimeter = 2 × (25 + 18) = 86 meters

(ii) The distance the girl runs after five rounds = 5 × 86 meters = 430 meters

b) i) The perimeter required to fence Mrs. Kanchhi's the vegetable garden with 3 rounds = 3 × 2 × (30 m + 18 m) = 288 m

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Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer: One factor is positive and one is negative, so the product will be negative.

Answer:

One factor is positive and one factor is negative, so the product will be negative

Step-by-step explanation:

If you see there (-15)3 so -15 is a negative number and 3 is a positive and when you multiple a negative number with a positive number it becomes negative.

1. Number  of generators of  Z*4969 = 1584

2. Probability of a randomly chosen element a Z*_969 being a generator      = \(\frac{1584}{4968}\)

3. 1001 is the smallest generator

4. Number of generators

      ∅(n) = n \((1 - \frac{1}{p_{1} } )(1 - \frac{1}{p_{2} } ).........(1 - \frac{1}{p_{n} } )\)

1. Every relative prime of 4968 offers a generation if a is the generation of Z.

4968 = 4 × 1242

         = 4 × 3 × 414

         = 4 × 3 × 2 ×207

         = 4 × 3 × 2× 3× 69

         = 4 × 3 × 2 × 3 × 3 ×23

         \(= 2^{3} * 3^{3} * 23\)

Number of generators ∅ (4968) = 4968\((1 - \frac{1}{2} )(1 - \frac{1}{3} )(1 - \frac{1}{23} )\)

Number  of generators of  Z*4969 = 1584

2. When a Z*4969 value is set, it becomes a generation and belongs to one of the 1584 elements.

The probability that a element is selected from Z*4968 becomes a generation is

=  favorable elememt / total element

= \(\frac{1584}{4968}\)

= 0.3188

3. To find the smallest generator a Z*_969 with a > 1000.

      a > 1000

Every relative prime of 4968 gives a generation of Z*4969

G C D (1001   4968) = 1

Hence, 1001 is the smallest generator

4. Number of generators

      ∅(n) = n \((1 - \frac{1}{p_{1} } )(1 - \frac{1}{p_{2} } ).........(1 - \frac{1}{p_{n} } )\)

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In your fourth year on the job, you can expect to earn $41,327.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

In this case, P = 34,000, r = 0.05, and n = 4.

Plugging these values into the formula, we get:

A = 34,000(1 + 0.05)^4

A = 34,000(1.05)^4

A = 34,000(1.2155)

A = 41,327

Therefore, by the simple interest the answer will be $41,327.

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The equation of the line that passes through the point (3,2) and has a slope of 4 is; y = 4x - 10

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Point (3,2)

Then Slope m = 4

Now Write the equation as;

y - 2 = 4(x - 3)

y = 4x - 10

Hence, The equation of the line is; y = 4x - 10

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