Find the equation of a line that passes through the point (-3,-4) and has a gradient of 5. Leave your answer in the form y = mx + c​

Answer:

To find the median marks, we need to arrange the marks in ascending order and find the middle value.

0-20: 42 students

21-30: 38 students

31-40: 120 students

41-50: 84 students

51-60: 48 students

61-70: 36 students

71-80: 32 students

Since there are a total of 450 students, the median will be the value at the 225th position if we arrange the marks in ascending order. The value at the 225th position will be the lower value of the interval that the 225th student falls in.

The students in the intervals 0-20, 21-30, and 31-40 account for 42+38+120 = 200 students, which means that the 25th student falls in the 41-50 interval. Therefore, the median marks are 41.5.

To find the percentage of failures, we need to count the number of students who scored below 35 marks and divide it by the total number of students, and multiply the result by 100 to express it as a percentage. The number of students who scored below 35 marks is 42+38 = 80. The percentage of failures is 80/450 * 100 = 17.78%.

The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

The solution of the initial value problem xy' + y = 8e is equal to

log (x ) =  - log ( 8e - y ) .

Solution of the initial value problem is:

xy' + y = 8e

⇒ x (dy /dx ) + y = 8e

⇒ x (dy/dx ) = 8e -y

⇒  dx / x  = ( 1 / (8e -y ) ) dy

Integrate both the sides we get,

⇒ log (x ) =  - log ( 8e - y ) + c  ____(1)

Now , we have y ( 1 ) = -1 + 8e

Substitute the value  y ( 1 ) = -1 + 8e in (1) we get,

⇒ log ( 1 ) = - log ( 8e - ( -1 + 8e )) + c               ( value of log (1) = 0 )

⇒ 0 = - log ( 8e + 1 - 8e ) + c

⇒ 0 = log ( 1 ) + c

⇒ c = 0

Now substitute c =0 in (1) we get,

log (x ) =  - log ( 8e - y )

Therefore, the explicit solution of the initial value problem is equal to

log (x ) =  - log ( 8e - y ) .

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The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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Answer:

ok dont get addicted

Step-by-step explanation:

Mohal will be able to paint 9 bookcases for the amount of paint.

An expression for a portion of a whole is a fraction. It is represented by the numerator above the denominator, with a horizontal line separating the two numbers. In mathematics, fractions are used to represent fractions of a whole or values that are not whole numbers. Like whole numbers, they can be multiplied, split, added, and subtracted. Ratios and proportions, which are crucial ideas in many branches of mathematics and science, are also represented by fractions.

Given that, he has 1 1 /8​ gallons of paint.

Thus, number of bookcases are:

1 1/8 ÷ 1/8 = (9/8) ÷ (1/8) = 9

Hence, Mohal will be able to paint 9 bookcases for the amount of paint.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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9514 1404 393

Answer:

  (x, y) = (-6, -7)

Step-by-step explanation:

Multiply the first equation by 7 and add that to the second.

  7(x +y) +(5x -7y) = 7(-1) +(79)

  12x = 72

  x = 6

  y = -1 -x = -1 -6 = -7

The solution is (x, y) = (6, -7).

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Answer:

Her food cost as a percentage of sales is 33.58%.

Step-by-step explanation:

Since Chef Amy does beginning inventory on Thursday night and finds that she has $ 4697 in food products in the restaurant, and throughout the week she purchases:

$ 668 produces

$ 2206 meat

$ 2488 dry goods

$ 3755 dairy

The following Thursday she does ending inventory and finds that she has $ 3518 in food.

She looks at her sales de ella and finds that she made $ 30658 over the same 7 day period.

To determine what her food cost is as a percentage of sales (her food cost percentage), the following calculation must be performed:

4,697 + 668 + 2,206 + 2,488 + 3,755 = 13,814

13,814 - 3,518 = 10,296

30,658 = 100

10,296 = X

10,296 x 100 / 30,658 = X

1,029,600 / 30,658 = X

33.58 = X

Therefore, her food cost as a percentage of sales is 33.58%.

9514 1404 393

Answer:

Step-by-step explanation:

When a value is moved from outside the radical to inside, it gets an exponent equal to the index of the radical.

A) x³√x = √(x^(2·3+1)) = √(x^7) . . . . c = 7

__

B) x∛(x²) = ∛(x^(3·1+2)) = ∛(x^5) . . . . d = 5

_____

Alternate solution

You could use the fractional exponent equivalent of the radical and write the sum of exponents equation.

A) c/2 = 3+1/2   ⇒   c = 7 . . . . . exponents for x

B) d/3 = 1+2/3   ⇒   d = 5 . . . . . exponents for x

__

The exponent rules being used here are ...

  √x = x^(1/2)

  ∛x = x^(1/3)

  (x^a)(x^b) = x^(a+b)

  (x^a)^b = x^(ab)

Answer:

x = - 8, x = - 6

Step-by-step explanation:

Given

8 | x + 7 | - 3 = 5 ( add 3 to both sides )

8 | x + 7 | = 8 ( divide both sides by 8 )

| x + 7 | = 1

The expression inside the bars can be positive or negative, thus

x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved

x + 7 = 1 ( subtract 7 from both sides )

x = - 6

or

-(x + 7) = 1

- x - 7 = 1 ( add 7 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

here is the answer

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thanks

Answer:

1. 7/10

2.1/10

3.6/10 (Simplifly is 3/5)

4. 1/10

Step-by-step explanation:

Answer:

12.3 Gallons

Step-by-step explanation:

Options of the question:-

Option A. 12.33 gallons

Option B. 10 gallons

Option C. 12 gallons

Option D. 12.3 gallons

Option D is the answer :-

As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3

2-2x+3=0

5-2x=0

-5      -5

-2x=-5

/-2   /-2

x=2.5

---

hope it helps

sorry if I'm wrong

the X confused me

Answer:

aassass

Step-by-step explanation:

aassav

aadke

ddwvme

Answer:

88

Step-by-step explanation:

22 times 4= 88

answer is here

some drawing:

cool

∉343

Answer: Need a math question

Step-by-step explanation:  x3+y3+z3= ?

By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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Step-by-step explanation:

given,

base( b) = 6cm

height (h)= 11cm

now, area of parallelogram (a)= b×h

or, a = 6cm ×11cm

therefore the area of parallelogram (p) is 66cm^2.

hope it helps...

Answer:

81 cm

Step-by-step explanation:

I'm pretty sure it's 81 cm cause you just times it by 27

Answer:

108 devided by 4 = 27 so the answer is 27 centimeters in the drawing

Step-by-step explanation:

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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Answer:

$5: 7

$1: 10

Step-by-step explanation:

We can write the equation as such.

1. 5x + (x + 3) = 45

2. 6x = 42

3. x = 7

The number of $5 bills is 7, now we can use the x + 3 to solve the amount of $1 bills.

1. x + 3 = ?

2. 7 + 3 = 10

There are 10 $1 bills.

Answer:

1 and 4

4 and 5

6 and 7

Answer:

∠1 and ∠4

∠4 and ∠5

∠6 and ∠7

Step-by-step explanation:

took the edge quiz