two times the quantity of seven less than twice x

i need put this in algebraic expression ​

If 30% children travelling by bus is represented by 360 children, then total number of students who attended the school are 1200.

The "Percent" is a way of expressing a fraction or proportion as a number out of 100. It is a unit of measurement used to represent the relative size or amount of something compared to the whole.

If 30% of the children at a particular school travel by bus and this represents 360 children, we use this data to find total number of children who attend the school.

Let "X" be = total number of children at the school.

We know that 30% of X represents 360 children, so we can write an equation:

⇒ 30% of X = 360,

⇒ 30% × X = 360,

⇒ 0.3 × X = 360,            ...because 30% = 0.3,

⇒ X = 360/0.3 = 1200,

Therefore, there are 1200 students who attend the school.

Learn more about Percent here

https://brainly.com/question/2895837

#SPJ1

Answer:

43 and 5

Step-by-step explanation:

Let's let the two unknown numbers be a and b.

Their sum is 48, therefore:

\(a+b=48\)

And their difference is 38. In other words:

\(a-b=38\)

We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:

\(a=38+b\)

Substitute this into the first equation:

\((38+b)+b=48\)

Combine like terms:

\(2b+38=48\)

Subtract 38 from both sides:

\(2b=10\)

Divide both sides by 2:

\(b=5\)

So, one of the numbers is 5.

The sum of them is 48. Therefore, the other number is 48-5 or 43.

So, our two numbers are 43 and 5.

And we're done!

Answer:

5 and 43

I hope this helps!

Sadly the question is incomplete, so we can not see the described transformation of the parent function, thus we can't see the error in that description.

What we can do is describe the transformation shown here.

Here we can see the parent function:

f(x) = x^2

This function opens upwards, so what we see in the graph is this function reflected across the horizontal axis (the x-axis). So the transformation is just a reflection across the x-axis.

(notice that it passes through (-1, -1) and (1, -1), so there is no dilation nor contraction)

For a general function f(x), a reflection across the x-axis is just:

g(x) = -f(x)

So here the transformed function is:

g(x) = - x^2

If you want to learn more, you can read:

https://brainly.com/question/14536884

Answer:

seashells/week

Explanation:

With the given the function s(h) being seashells per hour, and the function W(h) being the number of hours per week, we can say that the compostie function s(W(h)) is finding the number of seashells per week.

(I've also taken the test and this was the correct answer.)

Hope this helps! :)

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

Now

cos(ø-x)

sin(ø-x)

So

tan(ø-x)

a. About 50% of the students scored less than 78.

b. Approximately 68% of the students scored between 75 and 78.

c. Approximately 95% of the students scored between 72 and 81.

d. Approximately 99.7% of the students scored between 69 and 75.

a) The normal curve is symmetrical, meaning that the area to the left of the mean is equal to the area to the right of the mean. Since the mean score is 78, 50% of the students scored above 78 and 50% scored below 78.

b) To apply the Empirical Rule, we will assume that 68% of the data falls within one standard deviation of the mean, which in this case is 3 points. So, 68% of the students scored between 75 and 81.

c) The percentage of students who scored between 72 and 81 can be found by subtracting the area to the left of 72 from the area to the left of 81. Using the Empirical Rule, we know that 95% of the observations are within two standard deviations of the mean, so the area between 72 and 81 is equal to 95%.

d) The percentage of students who scored between 69 and 75 can be found by subtracting the area to the left of 69 from the area to the left of 75. Using the Empirical Rule, we know that 99.7% of the observations are within three standard deviations of the mean, so the area between 69 and 75 is equal to approximately 99.7%.

Read more about normal distribution:

brainly.com/question/4079902

#SPJ4

Answer:

Step-by-step explanation:

it’s d

Answer:

327

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

You can pull  one y   and 6 n's out to start

then   4/5 = 24/30     and 5 / 6 = 25/30

and you can factor out a   -1

- y n^6 /30  ( 24  + 25 y^3n^2 )

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

Answer:

When two proper fractions are multiplied together, the product will be smaller than both factors.

Step-by-step explanation:

To understand why this is true, we can consider the concept of fractions as parts of a whole. When we multiply two proper fractions, we are essentially taking a part of a part, which results in a smaller portion overall.For example, if we multiply 1/2 by 2/3, we are taking half of something and then taking two-thirds of that half. The result is 1/3, which is smaller than both 1/2 and 2/3.Therefore, the correct answer is: The product will be smaller than both factors.

Answer:The product will be smaller than both factors.

When two proper fractions are multiplied together The product will be smaller than both factors.Take a look at the equation below.

¾ * ⅔=  3 times 2 is 6 and 4 times 3 is 12. So the equation is 6/12 .

6/12 is simplified to 1/2. 1/2 is less than both 2/3 and 3/4. Which means the product is smaller. Hence, the correct answer is the product will be smaller than both factors.

I hope this helped & Good Luck <3!!!!

The y-coordinate of -3f(x-1) when x = 0 is -63

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

Read more about exponential function at

https://brainly.com/question/2456547

#SPJ1

Answer:

A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: ... Area=21×Sum of parallel sides×Distance between them.

Answer:

A=a+b/2h

a=base

b=base

h=height

I hope it's helpful!

Answer: Reciprocals

Explanation isn't really needed but reciprocals are basically
Example:

3/4's reciprocal is 4/3 and multiplying 3/4 x 4/3 = 1

Answer:

P=48 millimeters

Step-by-step explanation:

p=4l

p=4 x 12

p=48 mm

Answer:

Step-by-step explanation:

Answer:

3,9,27,81,243,729

Step-by-step explanation:

I dont know how long the pattern is supposed to go on for but each time the number is being multiplyed by 3

3*3=9

9*3=27

27*3=81

etc.

Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

=============================================

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

----------------------------------------

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.

The equation of the line in point-slope form is y + 1 = 2(x + 8).

What is equation of line?

An equation with terms that have variables x and y independently and a degree of one is referred to be a line equation in a two-dimensional coordinate system. A linear equation is any equation with degree 1. The relationship between the x and y coordinates of any point on a straight line is known as the equation of a straight line.

The point-slope form of the equation of a line with slope m and passing through the point (x1, y1) is given by:

y - y1 = m(x - x1)

Using the given information, we have:

m = 2

x1 = -8

y1 = -1

Substituting these values into the point-slope form, we get:

y - (-1) = 2(x - (-8))

Simplifying, we get:

y + 1 = 2(x + 8)

This is the equation of the line in point-slope form.

Learn more about equation of line on:

https://brainly.com/question/11552995

#SPJ1

The consumer surplus is approximately $145.83.

To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:

D(x) = √(739 - 3x)

Setting D(x) equal to the equilibrium price of $25, we get:

25 = √(739 - 3x)

Squaring both sides, we get:

625 = 739 - 3x

Solving for x, we get:

So at a price of $25 per unit, the consumer is willing to buy 38 units per month.

Now we can calculate the consumer's surplus.

The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:

\(CS = \int_0^{38} [D(x) - 25] dx\)

where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.

Evaluating this integral, we get:

\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)

Therefore, the consumer surplus is approximately $145.83.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ1

Answer:

-850

Step-by-step explanation:

you do multiplication first, then do the addition

9^10 divided by 9 can be simplified to 9^(10-1) = 9^9

This is because when dividing a power by the same base, we can subtract the exponent by one.

In other words, 9^10 / 9 = (9999999999) / (9) = 99999999*9 = 9^9.

So, 9^10 divided by 9 is equal to 9^9.

Another way to think about this is that dividing a number by itself is the same as multiplying that number by 1, and 9^10 / 9 = 9^10 * 1 / 9 = 9^10 / 9^1 = 9^(10-1) = 9^9

In terms of real numbers, 9^10 is equal to 387420490 and 9^9 is equal to 3486784401. So 9^10 divided by 9 is equal to 3486784401.

\(\it \dfrac{9^{10}}{9}=9^{10}:9^1=9^{10-1}=9^9\)

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

Learn more about greatest common factor  at;

https://brainly.com/question/219464

#SPJ1

The independent variable while calculating the volume of a rectangular prisms with equal base area and different height is the height

The input values for a specific function are represented by the independent variable (x).

During an experiment, the independent variables are kept under control. The outputs of the function are represented by the dependent variable (y). The quantities being measured are the dependent variables in an experiment.

As regard the problem, the base area is a constant, the volume calculated is the dependent variable while the height iis the independent variable.

Learn more about variables here;

https://brainly.com/question/29348198

#SPJ1

Answer:

r = 8

Step-by-step explanation:

Solve for r:

r + 4 = 12

Subtract 4 from both sides:

r + (4 - 4) = 12 - 4

4 - 4 = 0:

r = 12 - 4

12 - 4 = 8:

Answer: r = 8

Based on the image attached, the solution for GE  is approximately 22.72.

To  be able to solve the equation √129 + √129 = GE, one need to simplify the  expression and then isolate GE.

Step 1: One can add the square roots:

Note that the equation:

√129 + √129 = GE.

Step 2:  Do put together the square root terms:

2√129 = GE.

Step 3:  Then Divide by 2:

√129 = GE/2.

Step 4: The Square both sides:

129 = (GE²)/4.

Step 5: So, Multiply by 4:

516 = GE².

Lastly, Take the square root:

√516 = √(GE²)

√516 = GE

GE = 22.72. approx.

Learn more about expression  from

https://brainly.com/question/1859113

#SPJ1

See text below



Step 26

Solve the equation for GE:

√129+√129 = GE

GE=2/129

Show steps

answer:

15

step-by-step explanation:

9, 10, 15, 17, 15, 14, 37, 45, 42, 13

Answer:

hahahahahahahahahahahahahahahahaha

Answer:

Stronger thank you [undertale]

Milkychan

We know that z varies directly as √√x and inversely as y, which can be written as:

z = k(√√x)/y

where k is the constant of proportionality.

To find the value of k, we can use the values given when x = 25 and y = 7:

179 = k(√√25)/7

179 = k(5/7)

k = (179*7)/5

k = 250.6

Now we can use this value of k to find z when x = 64 and y = 4:

z = 250.6(√√64)/4

z = 250.6(2)/4

z = 125.3

Therefore, z ≈ 125.3 when x = 64 and y = 4.