Question 17Which pair of expressions below is equivalent?АX + W + x + w and 2(x + w)B.5(9x - 4w) and 45x – 4wс.2x + 9w and 11xwD5x - 6w and 6w - 5x

Answer:y=log1x

Step-by-step explanation:

The value of the unknown c in the algebraic fraction equation is equal to -24

To solve the simple algebraic fraction equation, we cross multiply to eliminate the fractions, then simplify by solving for the unknown

Given the algebraic equation:

-c/6 = 4

(-c/6) × 6 = 4 × 6

-c = 4 × 6

-c = 24

multiply both sides by -1

-1 × -c = -1 × 24

c = -24

Therefore, the value of the unknown c in the algebraic fraction equation is equal to -24

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Therefore, the painting should be placed 5/4 feet on each side of the wall.

In the given problem, a 5-foot wide painting should be centered on a 15-foot wide wall. We can determine the length of each side of the painting by subtracting x from each side of the wall.

Therefore, the left side of the equation can be written as:

\(15 - x - 5 - x\)

The physical situation given is that the painting is to be centered on the wall. This means that each side of the wall will have the same amount of space as the painting.

Therefore, the length of each side of the painting can be determined by subtracting x from each side of the wall. The total width of the wall is 15 feet, and the painting is 5 feet wide.

Therefore, the total length of the space on each side of the painting is 5 + x.To find the value of x, we can equate the length of each side of the painting. Therefore, the equation can be written as:

\(15 -x - 5 - x = 5 + x + x\)

Simplifying the equation, we get:

\(10 - 2x = 2x + 5\)

Solving for x, we get:

\(4x = 5x = \frac{5}{4}\)

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Your answer is -1.43

The equation that show the relationship between Anna earning and time worked is y = 8.5h.

Linear equation is in the form:

y = mx + b

where m is the rate of change, b is the y intercept and y, x are variables.

Let y represent Anna earnings for working h hours.

Since she charges $8.50 per hour to babysit. Hence:

y = 8.5h

The equation that show the relationship between Anna earning and time worked is y = 8.5h.

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Answer:

Step-by-step explanation:

Answer:

8 2/3

Step-by-step explanation:

6 1/2 / 3/4

Improper fractions:

\(\frac{13}{2} /\frac{3}{4}\)

Reciprocal:

\(\frac{13}{2}*\frac{4}{3}\)

Simplify:

\(\frac{13}{1}*\frac{2}{3}\)

Solve:

\(\frac{26}{3}=8\frac{2}{3}\)

Answer:

h(t) = -4t² + 12t + 5

a. h'(t) = -8t + 12 = 0

8t = 12

t = 1.5 seconds

h(1.5) = 14 feet

b. 4t² - 12t - 5 = 0

t = (12 + √(12² - 4(4)(-5)))/(2×4)

= (12 + √(144 + 80))/8

= (12 + √224)/8

= (12 + 4√14)/8

= (3 + √14)/2 = about 3.37 seconds

The ball reaches the ground in about

3.37 seconds.

Answer:

x=16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(8+24) * 8 = x^2

32*8 = x^2

256  =x^2

Take the square root of each side

sqrt(256) = sqrt(x^2)

16 = x

Answer:

D (1, 7)

Step-by-step explanation:

From equation 2

y = (-4 + y)/3

Plug this value into the first equation which will give an equation involving only y. Solve for y which should give y = 7

Plug this value of y = 7 into 3x -y = -4

=> 3x - 7 = -4

=> 3x = 3

x = 1

So solution is x =1, y = 7 which can be represented as (1, 7)

Answer:

0.02 tons per cubic foot

Step-by-step explanation:

delt math

The density of the material is, 106.36 tons per cubic foot.

Density is the mass of a material substance per unit volume.

d = M/V, where d is density, M is mass, and V is volume, is the formula for density.

Grams per cubic centimeter are a typical unit of measurement for density.

Given, The density of a certain material is such that it weighs 1 pound for every 3.5 cups.

Therefore, d = 1/3.5 per cubic cup.

d = 0.29 pounds per cubic cup.

Now, We know 1 ton is equal to 2000 pounds and 1 foot is equal to 119688.

Therefore, The density of the material per cubic foot is,

= 119688/(2000×0.29) tons per cubic foot.

= 106.36 tons per cubic foot.

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The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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The difference quotient of f(x) = x² -2 is equal to 2x + h.

In Mathematics, the difference quotient of a given function can be calculated by using the following mathematical equation (formula);

\(Difference\; quotient = \frac{f(x+h)-f(x)}{(x+h)-h}=\frac{f(x+h)-f(x)}{h}\)

Based on the given function, we can logically deduce the following parameters that forms the components of the difference quotient;

f(x) = x² - 2

f(x + h) = (x + h)² - 2 = h² + 2hx + x² - 2

By substituting the above parameters into the numerator of the difference quotient formula, we have the following:

f(x + h) - f(x) = h² + 2hx + x² - 2 - (x² - 2)

f(x + h) - f(x) = h² + 2hx + x² - 2 - x² + 2

f(x + h) - f(x) = h² + 2hx

By factorizing the function, we have;

f(x + h) - f(x) = h² + 2hx

f(x + h) - f(x) = h(h + 2x)

\(Difference\; quotient = \frac{h(h + 2x)}{h}\)

Difference quotient = 2x + h

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Answer:

-32

Step-by-step explanation:

do you need me to explain?

Answer:

y = -32

Step-by-step explanation:

thanks for helping me

Answer:7

Step-by-step explanation:

There are no two Real numbers that add up to -2 and multiply to 10.

The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:

Equation 1: x + y = -2

Equation 2: x * y = 10

To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:

1. Solve Equation 1 for x:

  x = -2 - y

2. Substitute the value of x in Equation 2:

  (-2 - y) * y = 10

3. Simplify the equation:

  -2y - y^2 = 10

4. Rearrange the equation to standard form:

  y^2 + 2y + 10 = 0

5. Since the equation is a quadratic equation, we can apply the quadratic formula:

  y = (-b ± √(b^2 - 4ac)) / (2a)

  In this case, a = 1, b = 2, and c = 10.

6. Calculate the discriminant: b^2 - 4ac:

  2^2 - 4(1)(10) = 4 - 40 = -36

7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.

In conclusion, there are no two real numbers that add up to -2 and multiply to 10.

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Answer:

For the first question: C. 32

For the second question: D. 15

Step-by-step explanation:

If 75% of the students are women, and there's 24 women, first you would have to divide 24 by 3. This equals 8. So, add 8 to 24 because 8 is 1/4th of the yoga class. 8 + 24 = 32.

If you mark all of the coordinates and draw lines to make a rectangle, then count all the units until the end of the line, the longer sides are 15 units and the shorter sides are 11 units.

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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It will take approximately 270.28 minutes, or 4 hours and 30.28 minutes, to fill the reservoir at a rate of 250 gallons per minute.

we can use the formula:

time = volume ÷ flow rate

where volume is the capacity of the reservoir in cubic feet and flow rate is the rate at which the reservoir is filled in cubic feet per minute.

Since the capacity of the reservoir is given in cubic feet and the flow rate is given in gallons per minute, we need to convert the flow rate to cubic feet per minute. One gallon is equal to 0.133681 cubic feet, so:

250 gallons/minute x 0.133681 cubic feet/gallon = 33.342 cubic feet/minute

So the flow rate in cubic feet per minute is 33.342. Now we can calculate the time it takes to fill the reservoir:

time = 9000 cubic feet ÷ 33.342 cubic feet/minute = 270.28 minutes

So it will take approximately 270.28 minutes, or 4 hours and 30.28 minutes, to fill the reservoir at a rate of 250 gallons per minute.

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Answer:

3/4

Step-by-step explanation:

Answer:

We have parallelogram ABCD, with BC as the diagonal, so alternate interior angles are congruent.

100° + 30° + x = 180°, so x = 50°

Answer:

B

Step-by-step explanation:

A: 3+5<=8

C: 9+9<19

D: 5+4<10

PLS GIVE BRAINLIEST

Answer:

Perhaps option B

Step-by-step explanation:

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Let width be x

We know

\(\boxed{\sf Perimeter=2(L+B)}\)

\(\\ \sf\longmapsto 2(x+2x-8)=290\)

\(\\ \sf\longmapsto 2(3x-8)=290\)

\(\\ \sf\longmapsto 3x-8=\dfrac{290}{2}\)

\(\\ \sf\longmapsto 3x-8=145\)

\(\\ \sf\longmapsto 3x=145+8\)

\(\\ \sf\longmapsto 3x=153\)

\(\\ \sf\longmapsto x=\dfrac{153}{3}\)

\(\\ \sf\longmapsto x=51\)

Answer:

\(\sf{}\)

Step-by-step explanation:

hope it's helpful to you ☺️

Answer:

Step-by-step explanation:

a b c d

Answer:

Solve for p:

p = q + z

Solve for v:

v = (p - q - z) / m

Step-by-step explanation:

You provided an algebraic equation with multiple variables: p, m, v, x, q, and z. To solve for a specific variable, we need to isolate that variable on one side of the equation and all the other variables on the other.

To solve for p:

p = mv + x = q + z

The variable "p" is already on one side of the equation, so we don't need to do anything else.

To solve for v:

v = (p - q - z) / m

We need to isolate v on one side. Therefore we can subtract q and z from both sides to obtain the equation v = (p - q - z) / m, where v is the isolated variable on one side of the equation, and all the other variables are on the other side.

ANSWER:

\( {2}^4\)

REASON:

1.multiply the terms with the same base by adding thier exponents.

2.add the numbers.

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Hey there!

The length of the hypotenuse is about 11 centimeters.

To solve this, we use the formula \(a^2+b^2=c^2\), where \(c\) is the hypotenuse leg and \(a\) and \(b\) are the other sides. So we can plug the numbers in to the formula:

\(5^2 + 10^2 = c^2\)

Now we get the squares of 5 and 10:

\(25 + 100 = c^2\)

Add 25 and 100:

\(125 = c^2\)

Take the square root from both sides:

\(11.18033... = c\)

The length of the hypotenuse is about 11 centimeters.

Hope it helps and have an amazing day!

The length of Hypotenuse = 11.18 cm

In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Given,

In right angle ΔABC

AB = 5 cm

BC = 10 cm

AC = ?

By the Pythagoras theorem,

AC² = AB² + BC²

AC² = 5² + 10²

AC² = 25 + 125

AC = √125 = 11.18

Hence, 11.18 cm is the length of Hypotenuse AC .

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The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

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Answer:

5 1/2 + 3/4

11/2 + 3/4

22+3/4

25/4

=6 1/4