5. Solve for x using the model below Enter your answer as a number only.​

Answer:

Solving the equation \(-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}\) we get: \(\mathbf{a=-\frac{1}{15} }\)

Step-by-step explanation:

We need to solve the equation:

\(-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}\)

And find the value of a

Solving the equation: \(-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}\)

First we will be Switching sides

\(\frac{3a}{4}-\frac{13}{20}=-\frac{7}{10}\)

Now, for finding value of a we will be adding 13/20 on both sides

\(\frac{3a}{4}-\frac{13}{20}+\frac{13}{20}=-\frac{7}{10}+\frac{13}{20}\)

\(\frac{3a}{4}=-\frac{7}{10}+\frac{13}{20}\)

Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:

\(\frac{3a}{4}=\frac{-7*2+13}{20}\\\frac{3a}{4}=\frac{-14+13}{20}\\\frac{3a}{4}=\frac{-1}{20}\)

Now, multiply both sides by 4/3

\(\frac{3a}{4}\times \frac{4}{3} =\frac{-1}{20}\times \frac{4}{3}\\a=\frac{-1}{5}\times \frac{1}{3}\\a= \frac{-1}{15}\)

So, solving the equation \(-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}\) we get: \(\mathbf{a=-\frac{1}{15} }\)

The conjectures can be the product of two odd numbers is always an odd number and product of two odd numbers is always greater than either of them.

It is given that a number is product of two odd numbers.

We have to make a conjecture about it.

What do you mean by a conjecture ?

A conjecture is a conclusion which is believed to be true but hasn't been proved or disproved yet.

As per the question ;

We need to make a conjecture about product of two odd numbers.

The two conjectures can be ;

(1) The product of two odd numbers is always an odd number.

i.e.,

Let's assume the numbers are 21 and 27.

The product of these two numbers will be ;

= 21 × 27

= 567

So , 567 is an odd number.

2) The product of two odd numbers is always greater than either of them.

i.e.,

Let's assume numbers are 13 and 15.

The product will be ;

= 13 × 15

= 195

is greater than both of 13 and 15.

Thus , the conjectures can be the product of two odd numbers is always an odd number and product of two odd numbers is always greater than either of them.

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Answer:

36 green apples

Step-by-step explanation:

Red=40%

Green =x%

40/100 × 60apples

0.4×60

24red apples

so 60-24

36green apples

Answer:

b) 36.

Step-by-step explanation:

Justicemoya35 has an excellent answer, but I will provide a slightly different approach!

According to the word problem, the box contains 60 apples.

If 40% of the apples are red, then 60% of the apples are green.

As I mentioned before, there are 60 apples; 60% of the 60 apples are green.

This means we have the find 60% of 60.

We can find the percentage of a number by using this formula:

60% OF 60

\(\frac{is}{of} =\frac{percent}{100}\)

\(\frac{x}{60} =\frac{60}{100}\)

Now that I've correctly set up the problem, we cross multiply, then divide the products.

\(60*60=3600\)

\(100*x=100x\)

\(3600/100x=36\)

\(x=36.\)

Therefore, 36 apples are red.

Answer:

number 2

Step-by-step explanation:

Answer:

3×2⁵

Step-by-step explanation:

6 written in an exponential form is 2×3

and 4 written in exponential form is 2²

2×2²×2²=2⁵

when bases are the same you add the exponents

Answer + Step-by-step explanation:

First Method :

6 × 4 × 4 = 6 × 4²

Second Method :

6 × 4 × 4 = (3 × 2) × 2² × 2²   (Replace 6 by 3 × 2 and 4 by 2²)

               =  3 × (2 × 2² × 2²)

               = 3 × 2¹⁺²⁺²

               = 3 × 2⁵

Answer:

i believe the answer that you picked is right ....i think ^^

Answer:   About the building of his bed

Answer:

Yes.

Step-by-step explanation:

The equation y = kx represents a proportional relationship. In this case, 15 = k.

The answer is 48. Becuase you need to multipluy and also didived the numbers by the quatum number of X.

Answer:

3 hours from noon, or 3 pm.

Step-by-step explanation:

As of 12 noon, the frequencies are 45 and 60 minutes.

To find out when they leave at the same time again, we need the LCM (least common multiple) of the two frequencies, i.e.

LCM (45, 60) = common time from {45,90,135,180,225,270,315,360....} and{60,120,180,240,300,360,...}

We see that they leave at the same time again at 180 and 360, ... minutes.  Since 180 minutes is the least common multiple, 180 is the next time they leave together again, or 3 hours after noon, i.e. 3pm.

Happy New Year, ... en quelques minutes!  :)

Answer:

3 PM

Step-by-step explanation:

ANSWER

The area of the shaded portion is 104 in²

EXPLANATION

The total area of the metal is:

To find the area of the shaded portion we have to subtract the areas of the triangles.

Each triangle is a right isosceles triangle - because there are two angles with the same measure, 45º - so we can say that the base and the height of the triangles are the same:

The area of one triangle is:

By the pythagorean theorem, the base of each triangle is:

Replacing into the expression for the area of one

Answer: It's B.

Step-by-step explanation: It can't be A or D. The y-intercept is 2, not 4 so it is B.

Answer:

5/2,     5/2,     -3= (5/2)(2)+b,     -8,     y=(5/2)x-8

Step-by-step explanation:

Answer:

The slope of the graphed line is  

✔ 5/2

.

The slope of the parallel line is  

✔ 5/2

.

An equation that can be used to find the y-intercept of the parallel line is  

✔ –3 = (5/2)(2) + b

.

The y-intercept of the parallel line is  

✔ –8

.

The equation of the parallel line is  

✔ y = (5/2)x – 8

.

Step-by-step explanation:

Answer:

O A.

Step-by-step explanation:

5×5=25 = 4÷4 =2

25 + 2 = 27

Answer:

Step-by-step explanation:

-5 + (8 x -7)

using PEMDAS, (8 x -7) = -56

so -5 + -56 = -61

Answer:





Find the multiplicative inverse of the following

(i) -13    (ii) -13/19    (iii) 1/5    (iv) -5/8 × -3/7    (v) -1 × -2/5

(vi) -1

Solution:

The reciprocal of a given rational number is known as its multiplicative inverse. The product of a rational number and its multiplicative inverse is 1.

(i) The Multiplicative inverse of -13 is -1/13

∵ -13 × (-1/13) = 1

(ii) The Multiplicative inverse of -13/19 is -19/13

∵ -13/19 × (-19/13) = 1

(iii) The Multiplicative inverse of 1/5 is 5

∵ 1/5 × 5 = 1

(iv) The Multiplicative inverse of -5/8 × -3/7 is 56/15

∵ -5/8 × (-3/7) = 15/56 and 15/56 × 56/15 = 1

(v) The Multiplicative inverse of -1 × -2/5 is 5/2

∵ -1 × (-2/5) = 2/5 and 2/5 × 5/2 = 1

(vi) The Multiplicative inverse of -1 is -1

∵ -1 × (-1) = 1

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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The graph of g(x) is shifted 4 units up from the parent function

The equation of the parent function f(x) is given as

f(x) = x

The transformed function is given as

g(x) = x + 4

Substitute the known values in the above equation, so, we have the following representation

g(x) = f(x) + 4 or g(x) = f(x + 4)

This means that the function is shifted to the left by 4 units or it is shifted up by 4 units

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The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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The net torque about the axle is zero, as no external forces are acting on the disk.  Since there are no external forces acting on the disk, the sum of all the torques must be zero. Therefore, the net torque about the axle is zero.

The net torque about the axle is calculated by summing up all the torques about the axle due to external forces. Since there are no external forces acting on the disk, the sum of all the torques must be zero. Therefore, the net torque about the axle is zero.

The net torque about the axle of the 16-cm diameter disk in is zero, since there are no external forces acting on the disk. To calculate the net torque about the axle, we need to take the sum of all the torques about the axle due to external forces. Since there are no external forces, this sum must be zero. This means that the net torque about the axle is zero. This is because there is no force causing the disk to rotate and therefore, the net torque about the axle must also be zero. This result is consistent with the law of conservation of angular momentum, which states that when no external forces are acting on an object, the total angular momentum of the system must remain constant. Thus, the net torque about the axle of the 16-cm diameter disk in is zero.

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Answer:

Step-by-step explanation:

7a - 4a

a = 8

so

7(8) - 4(8)

56 - 32 = 23

FINALLY! Someone asks for a step-by-step! TYSM!

Since a=8, we ae going to replace the a variables with 8.

7(8)-4(8)

7x8=56

4x8=32.

Now we subtract.

56-32=24.

---

hope it helps

To describe the solution, we can say that Finn made at least 15 cups of stew to ensure that each of the 6 bowls had more than 2.5 cups of stew.

Inequality is a mathematical statement that shows a relationship between two values that are not necessarily equal. It is denoted by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to). Inequalities are used in a variety of mathematical contexts, such as solving equations, graphing functions, and modeling real-world situations.

Here,

The inequality that describes the problem is x/6 > 2.5, which means that the amount of stew Finn made, x, divided by 6 must be greater than 2.5 cups per bowl.

To solve the inequality, we can isolate x by multiplying both sides by 6:

x > 15

This means that Finn made more than 15 cups of stew in total.

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Answer:

48, 60 and 72

Step-by-step explanation:

Given;

    The ratios of the angle in the triangle  = 4:5:6;

Unknown:

The angle of the triangle = ?

Solution:

  We must understand that the sum of angles in a triangle is 180°

 So as ratios;    4:5:6 denotes some certain multiples that sums up to  180°

 Let the multiple number  = x; so

      4x : 5x : 6x

      4x + 5x + 6x = 180

            15x = 180

                = 12

The angles in the triangles are:

        4(12) : 5(12) : 6(12)

        48 : 60 : 72

These angles are 48, 60 and 72

Answer:

19.13

Step-by-step explanation:

You take 342.98 and you minus 323.85

The jogger's rate, in feet per minute, is 325.6 feet/minute.

Given that,

So, based on the above information, the jogger rate in feet per minute is

= (3.7 mile/hour) × (5,280 feet/mile) x ( 1 hour or  60 minute)

= (3.7 × 5,280 ÷ 60)  feet/minute

= 325.6 feet/minute

Therefore we can conclude that the jogger's rate, in feet per minute, is 325.6 feet/minute.

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Option C. A random sample of attendees would be a group of attendees selected in a systematic and unbiased manner, such that each attendee has an equal chance of being selected to participate in the survey.

This ensures that the opinions represented in the survey are representative of the opinions of the entire attendee population. For example, the organizers could randomly select every 10th attendee, or they could use a random number generator to select a certain number of attendees. The important thing is that the selection process is not influenced by any extraneous factors and is done in a way that ensures each attendee has an equal chance of being selected.

Finally, it is also important to ensure that the survey questions are clear, unbiased, and relevant to the topic being studied. This will help ensure that the responses obtained are meaningful and accurately reflect the opinions of the attendees.

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The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a random sample of attendees?

A. The organizers form groups of 20 attendees based on the day the attendees registered. Then, the organizers randomly choose 4 groups and select all of the attendees in these groups.

B. The organizers select the first 80 attendees who register for the conference because these attendees are easily accessible.

C. The organizers assign each attendee a different number. Using a random number table, the organizers draw 80 of those numbers at random. Then, organizers select the attendees assigned to the drawn numbers. Every set of 80 attendees is equally likely to be drawn using the random number table.

Answer:

Step-by-step explanation:

10.  \(8x^{3} - 6x^{3}\)

    \(2x^{3}\)

coeff= 2

11. \(-16x^{2}\)

coeff= -16