Solve the equation
3/4x-5=13. x=

Hello!

So, we are given the following to solve:

\(-m=9\)

To solve this, simply divide both sides by -1.

\(\frac{-m}{-1}= \frac{9}{-1}\)

Then, simplify the expression and you have your solution.

\(m=-9\)

Hope this helps! If so, please lmk! Thanks and good luck!

Answer:

m= -9

Step-by-step explanation:

Divide both sides by -1

\(\frac{-m}{-1} =\frac{9}{-1}\)

Simplify m = - 9

if I did it right then it's $32.38.

This is not a function, we know this because the input x = 1 is mapped into two different outputs.

A relation maps elements from one set, the domain, into elements from another set, the range. A relation is only a function if each element of the domain is mapped into only one element of the range.

In this case, we have the relation:

x: 1, -2, 1, -3

y: 2, 1, 3, -2

The input x = 1 is mapped into two different values, y =2 and y = 3.

Thus, the relation is not a function.

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The contrapositive of the theorem: "for any two real numbers, x and y, if x and y are both rational then x + y is also rational" is given by this:

If x + y is irrational then x is irrational or y is irrational.

If we have two statements p and q, such that p ⇒ q, then the contrapositive of this relation is q' ⇒ p', that is negative of q implies a negative of p.

Let our statements be,

p: x and y are both irrational

∴ p': x is irrational or y is irrational

q: x + y is irrational.

∴ q': x + y is irrational.

The given theorem is the relation, p ⇒ q.

We are asked to find the contrapositive of this theorem. The contrapositive of the relation is, q' ⇒ p'.

This relational statement is:

If x + y is irrational then x is irrational or y is irrational.

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The values of "p" that satisfy both inequalities are all the numbers greater than 3/5 and less than or equal to 8/3, excluding 3/5 and including 8/3.

To solve this inequality, we want to isolate "p" on one side of the inequality sign. Let's begin:

0 ≥ 54p - 144

First, we'll add 144 to both sides of the inequality:

144 ≥ 54p

Now, we'll divide both sides by 54 (note that since we're dividing by a positive number, the inequality sign remains the same):

144/54 ≥ p

Simplifying the left side:

8/3 ≥ p

So, the solution to Inequality 1 is p ≤ 8/3.

Inequality 2: 0 > 12 - 20p

Similarly, we'll isolate "p" on one side of the inequality sign:

0 > 12 - 20p

Subtract 12 from both sides:

-12 > -20p

Divide both sides by -20 (note that since we're dividing by a negative number, the inequality sign flips):

-12/(-20) < p

Simplifying:

3/5 < p

Therefore, the solution to Inequality 2 is p > 3/5.

The solution to Inequality 1 is p ≤ 8/3, and the solution to Inequality 2 is p > 3/5.

To find the intersection, we need to find the values of "p" that satisfy both p ≤ 8/3 and p > 3/5.

The values of "p" that satisfy both inequalities are the values of "p" that are simultaneously less than or equal to 8/3 and greater than 3/5.

Combining the two inequalities, we have:

3/5 < p ≤ 8/3

This can be written in interval notation as (3/5, 8/3].

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Complete Question:

Find all p that satisfies both the inequalities 0 ≥ 54p-144 and 0 > 12 -20p.

Express your answer in interval notation, reducing any fractions in your answer.

The probability of getting a 9 is 1/27, or roughly 0.037, or 3.7%.

Since there are 3 dice, the total number of possible outcomes is 3^3 = 27. To find the probability of rolling a sum of 9, we need to count the number of ways we can get a sum of 9.

There are different ways to approach this problem, but one method is to use a table to list all possible outcomes and their sums:

Dice 1 Dice 2 Dice 3 Sum

1 1 3 5

1 2 2 5

1 3 1 5

2 1 2 5

2 2 1 5

3 1 1 5

2 3 1 6

3 2 1 6

3 1 2 6

1 3 2 6

1 2 3 6

2 1 3 6

3 3 1 7

3 2 2 7

2 3 2 7

1 3 3 7

2 2 3 7

3 1 3 7

3 3 2 8

2 3 3 8

3 2 3 8

3 3 3 9

Out of these 27 outcomes, there are 1 way to get a sum of 9 (rolling three 3's).

Therefore, the probability of rolling a sum of 9 is 1/27 or about 0.037 or 3.7%.

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There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes.

A set of potential outcomes from a random experiment is known as a sample space. The sample space is identified by the letter "S." Events are the subset of possible experiment results.The results in a sample area could vary depending on the experiment. Discrete or finite sample spaces are those that have a finite number of outcomes.

The sample space showing all possible outcomes of the two questions is the Cartesian product of the two sets of answer choices, which is:

{(A, A), "(A, B), "(A, C), "(A, D), "(A, E), "(C, A), "(C, B), "(C, C), "(C, D), "(C, E")," "(D, A), "(D, B), "(D, C), "(D, D), "(D, E)}.

There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes. Each outcome is a pair of answers, where the first element of the pair is the answer to the first question and the second element of the pair is the answer to the second question.

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To find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we need to calculate the amount of sugar used for each case.

From the table, we can see that:

- For 1 batch of cookies, Sonya uses 2-7 cups of sugar.

- For 2 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 3 batches of cookies, Sonya uses 6²2/2 cups of sugar.

To calculate the amount of sugar used for 9 batches of cookies, we can use the pattern observed in the given values:

- For 4 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 5 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 6 batches of cookies, Sonya uses 6²2/2 cups of sugar.

- For 7 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 8 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 9 batches of cookies, Sonya uses 6²2/2 cups of sugar.

Therefore, to find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we subtract the amounts:

Amount of sugar for 9 batches - Amount of sugar for 3 batches

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

Simplifying the expression, we get:

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

= 6²2/2 - 6²2/2

= 0

Therefore, the correct answer is:

d) 19 1/4

There is no difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies.

Answer: -1.75

Step-by-step explanation: -7 + 5 + (-9) + 4 = -7, then -7÷4=-1.75

Answer:

T'= (1,-8)

R'= (9,-10)

U'= (9,-8)

S'= (1,-10)

Answer:

Felipe is "F" years old, Felipe's sister is 6 years younger then Felipe, Felipe's mom is times minus 6

Step-by-step explanation:

we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

We know that at 8:00 a.m. there were t inches of snow in the ground.

At 5:00 p.m. there were 3t inches of snow in the ground.

Then the difference between the heights of the snow is:

3t- t = 2t

And we know that at 5:00 p.m. there were 12 inches of snow then we can solve the linear equation for t:

3t = 12in

t = (12in)/3 = 4 in

Replacing that in the difference of heights:

2t = 2*4in = 8in

From this, we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

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First we add 0.3 to 3.7, that way we will have an integer and it would be more easy to make the operations. Then we have 4.

Then we can substract the 4 to the 9.4, getting 5.4.

Finally we add once again 0.3 (because in the difference we have an extra .3) to the 5.4, getting 5.7.

Then Tamela swims 5.7 more than Blake every day.

Answer:

2y = -8x +16

y= -4x+

Step-by-step explanation:

Answer:

y = -4x + 8

Step-by-step explanation:

Formula we use,

→ y = mx + b

Conversion into slope-intercept form,

→ 8x + 2y = 16

→ 2y = -8x + 16

→ y = (-8x + 16)/2

→ y = -4x + 8

Hence, the answer is y = -4x + 8.

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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Answer:

a) -6+4k=4

4k=4+6 (transpose)

4k=10

k=5/2

b) 7p-3=-2

7p=1

p=1/7

c) 1/7=p/21

7p=21(cross-multiplication)

p=3

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Answer:

I think option (D) 4 is correct

Answer:

Step-by-step explanation:

E D G E

Answer:

Answer:

Step-by-step explanation:

1st expression:4a(a-b)

2nd expression:9a(a-b)

So L.C.M=a(a-b)4×9

=36a^2-36ab

Answer:

4

Step-by-step explanation:

Split 19 into two numbers, 9 and 10. If there are 10 nickels, there are 5 dimes. That means there rest are quarters and there are 4.

edit : im not american and have little knowledge of how much each are worth

The solution for the differential equation is y = ±√((x + 5 ln|x| + c)/x).

To find the general solution for the differentia equation follow these steps:

We begin by separating the variables and integrating:

xy^2y' = x + 5

y^2 dy/dx = (x + 5)/x

Integrating both sides with respect to x:

∫y^2 dy = ∫(x + 5)/x dx

Simplifying the right-hand side:

∫y^2 dy = ∫1 dx + ∫5/x dx

∫y^2 dy = x + 5 ln|x| + c

Now we solve for y:

y^2 = (x + 5 ln|x| + c)/x

y = ±√((x + 5 ln|x| + c)/x)

Thus, the general solution to the differential equation is:

y = ±√((x + 5 ln|x| + c)/x)

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Answer:

x=6

Step-by-step explanation:

-4x-2(-6)=-12

multiply -2 and -6

-4x+12= -12

move the 12 to the other side

-4x= -12-12

-4x= -24

divide -4 by both sides

x= 6

Answer:

x=6

Step-by-step explanation:

Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

The measurements of missing side is 10 inch.

Two triangles are said to be congruent if they have the same size and shape. This means that all corresponding angles and sides of the two triangles are equal. When two triangles are congruent, they are essentially identical, and they can be superimposed on top of each other so that all corresponding parts match exactly.

There are several ways to prove that two triangles are congruent, including the Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-Leg (HL) methods. These methods use various combinations of congruent sides and angles to show that the two triangles are identical.

Now ΔABC and ΔXYZ are congruent triangle as shown in the figure

therefore their each side and each angle will be equal to correspondings.

hence 3x+1 = 4x-2

1+2=4x-3x

3 = x

Now put the value in any side

3x+1 =3(3)+1

=10

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The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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Answer:

13m

Step-by-step explanation:

this is because she needs 130

Answer:

13 months

Step-by-step explanation:

subtract 120 from 250 because that is how much she already has and then divide that answer by ten which will give you the number of months

**Hope This Helps**

Exact Form:

-41/4

Decimal Form:

-10.25

Mixed Number Form:

-10/4

The volume of the joined prism is given by the sum of the volume of the

individual prisms.

Correct responses:

The rectangular prisms that could be joined to create a solid figure are;

The volumes of the given rectangular prisms are;

Volume of first prism, V₁ = 4 units × 4 units × 3 units = 36 cube units

Volume of second prism, V₂ = 4 units × 1 unit × 2 units = 8 cube units

Third prism, V₃ = 5 units × 3 units × 2 units = 30 cube units

Fourth prism, V₄ = 5 units × 4 units × 2 units = 40 cube units

Fifth prism, V₅ = 4 units × 2 units × 2 units = 16 cube units

V₁ + V₂ = 36 cube units + 8 cube units = 44 cube units

V₃ + V₅ = 30 + 16 = 46 cube units

Therefore the two rectangular prisms that could be joined to create a solid figure with a volume between 42 and 47 are;

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Therefore, the solution to the system of equations is x = -1 and y = -1.

To solve the system of equations using the substitution method, we will solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for y:

7x + y = -8

We isolate y by subtracting 7x from both sides:

y = -7x - 8

Now, we substitute this expression for y in the first equation:

2x + 5(-7x - 8) = -7

Simplifying the equation:

2x - 35x - 40 = -7

Combine like terms:

-33x - 40 = -7

Add 40 to both sides:

-33x = 33

Divide both sides by -33:

x = -1

Now that we have the value of x, we substitute it back into the equation we found for y:

y = -7x - 8

y = -7(-1) - 8

y = 7 - 8

y = -1

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Answer: b = 14.

Step-by-step explanation:

We have the function:

f(x) = x^2 + b*x - 21

The minimum of a quadratic function will be at the vertex, and the vertex is at the value of x such that:

f'(x) = 2*x + b = 0

then the vertex is at:

x = -b/2

Then the minimum of the function f(x) will be:

f(-b/2) = (-b/2)^2 + b*(-b/2) - 21

and we know that the minimum value is -70, then:

f(-b/2) = -70 = (b^2)/4 - (b^2)/2 - 21

Now we need to solve this equation for b.

-70 = (b^2)/4 - (b^2)/2 - 21

-70 = -(b^2)/4 - 21

-70 + 21 = -(b^2)/4

49 = (b^2)/4

49*4 = b^2

196 = b^2

√196 = b = 14

The value of b is 14.