One more than 3 times a number is
the same as 5 times the number,
decreased by 15. Find the number​

The given situation would be a best model of cube root.

Solution:

Generally, medicine bottles will be cylindrical in shape. Since the shape of the bottle is not given we can assume that the bottle is in cylindrical shape.

Given information:

Radius of the bottle (r) = one fourth of its height (h)

[tex]\Rightarrow r=\frac{1}{4}\times h[/tex]

Volume of the bottle = V cubic inches

The formula of the volume of a cylinder is as follows,

[tex]\Rightarrow V=\pi r^{2} h[/tex]

This can be re-written as [tex]h=\frac{V}{\pi r^{2}}[/tex] as we do not know the height.

On plugging-in the given values we get,

[tex]\Rightarrow h=\frac{V}{\pi \times(\frac{h}{4})^{2}}\rightarrow \frac{V}{\pi \times\frac{h^2}{16}}\rightarrow \frac{16V}{\pi\times h^2}[/tex]

On solving we get,

[tex]\Rightarrow h\times h^2 = \frac{V}{\pi}[/tex]

[tex]\Rightarrow h^3 = \frac{V}{\pi}[/tex]

On taking the cube root on both sides we get,

[tex]\Rightarrow h=\sqrt[3]{\frac{V}{\pi}}[/tex]

Therefore, cube root would be the best model of the given solution.

Answer:

x < - 1

Step-by-step explanation:

Given

- 4x > 4

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x < - 1

Answer:

d=2r

Step-by-step explanation:

In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.

Step-by-step explanation:

We know that sum of alternate angles in a parallelogram is 180°. Using this property, we will solve the question! We have a parallelogram inscribed in a circle with measure of angles as  ∠A=100° and ∠D=85°. Now, according to property : ∠A + ∠C = 180° and ∠D + ∠B = 180°.

Let's consider for ∠D + ∠B = 180°:

⇒ 85° + ∠B = 180°

⇒∠B =  180° - 85°

⇒∠B = 95°

Also, for ∠A + ∠C = 180°:

⇒ 100° + ∠C = 180°

⇒∠C =  180° - 100°

⇒∠C = 80°

In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.

Answer:

f'(x)=-(x+42)/5

Step-by-step explanation:

Rewrite f(x) as y:

y=-5x-42

Flip x and y and solve for y:

x=-5y-42

x+42=-5y

(x+42)/-5=y

So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)

Answer:

x≤4.2

Step-by-step explanation:

12.6 ≤ 3x

1. Divide both sides by 3

2. 12.6÷3= 4.2

x≤4.2

Answer:

Option A

Step-by-step explanation:

From the graph, we can see both f(x) and g(x) are parabolas that turns upside down.

The parent function for both f(x) and g(x) is

[tex]y = - {x}^{2} [/tex]

We can see that , f(x) is obtain by shifting the parent function up, by c units.

Therefore

[tex]f(x) = - {x}^{2} + c[/tex]

Also we can see that g(x) is half way between f(x) and the origin.

Therefore

[tex]g(x) = - {x}^{2} + \frac{c}{2} [/tex]

Therefore the correct option is A .

Answer:7,200 mph

Step-by-step explanation:

36,000 divided by 5

Answer:

(Depends on the measurement of speed you are asking for)

7,200 Miles per hour, or 11587.28 Kilometers/hour.

Step-by-step explanation:

Divide 36,000 miles by 5 hours, and you get 7,200 per hour out of the five. Now you have the speed in miles per hour.

Hope that answered your question :)

Answer:

45 times 35 = 1575 and 1575 divided by 344 = 4.578488372

Answer: 4.58

Step-by-step explanation:

45 times 35 = 1, 575

1,575/344 = 4.58 to 2 decimal place

The equation of the line in slope intercept form is [tex]y=2x+1[/tex]

Explanation:

The point A is [tex](1,3)[/tex]

The equation of line for B is given by [tex]y=2x-2[/tex]

We need to determine the equation of line in slope intercept form passing through the point A and parallel to line B.

Since, the lines of equation are parallel, their slopes are same.

Thus, the slope is [tex]m=2[/tex]

Now, let us substitute the point [tex]A(1,3)[/tex] and slope [tex]m=2[/tex] in the slope - point formula, we have,

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

 [tex]y-3=2\left(x-1\right)[/tex]

 [tex]y-3=2x-2\right)[/tex]

       [tex]y=2x-2+3\right)[/tex]

       [tex]y=2x+1[/tex]

Thus, the equation of the line in slope - intercept form is [tex]y=2x+1[/tex]

Answer:

80%

Step-by-step explanation:

1280/1600=0.8=80%

Answer:

150 cm²

Step-by-step explanation:

A cube has 6 surfaces.

A cube has equal length for all edges.

Area of 1 surface = 5 x 5 = 25 cm²

Area of 6 surfaces  = 25 x 6 = 150 cm²

Answer:

Step-by-step explanation:

its 600 dont belive those liers.

Both area and perimeter are the same. They have the same shape and dimensions.

This is because congruency means that the two figures are identical, one is the clone of the other.

Two congruent figures have identical shape and size, meaning their perimeters and areas are both equal.

If two figures are congruent, this means that they are identical in shape and size. Congruent figures are essentially the same figure superimposed from one location to another. According to the definition of congruent figures, corresponding angles and sides are equal. Therefore, since the dimensions of congruent figures are the same, the perimeters of the figures must also be the same. This is because perimeter is a linear measure, which is the sum of the lengths of the sides of a figure.

Similarly, since congruent figures are identical in size, their areas must also be the same. Area is a measure of the extent of a 2-dimensional surface enclosed by a figure. Since the figures are congruent, they cover the same amount of 2-dimensional space, thus their areas are equal. Theorems 9 and 12 mentioned in the reference material confirm these properties.

Answer:

Step-by-step explanation:

Let cost of popcorns be x and pretzels be y.

Then the equations are:

9 bags of popcorn and 2 pretzels, costing a total of $80

7 bags of popcorn and 4 pretzels, costing a total of $72

Answer:9

Step-by-step explanation:

The correct statement about the diagram is,

⇒ Measure of angle JKH + measure of angle JKL = 180 degrees

⇒ Measure of angle JKL + measure of angle JLK + measure of angle KJL = 180 degrees

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The diagram is shown.

Now, By definition of linear pair of angles, we get;

⇒ m ∠JKH + m ∠JKL = 180°

And, The sum of angles in triangle is 180°

Hence, We get;

⇒ m ∠ JKL + m ∠ JLK + m ∠ KJL = 180 degrees

Thus, The correct statement about the diagram is,

⇒ Measure of angle JKH + measure of angle JKL = 180 degrees

⇒ Measure of angle JKL + measure of angle JLK + measure of angle KJL = 180 degrees

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ3

Answer: 1/5

Step-by-step explanation:50%50=1

100%50=0.5

Answer:

Yes

Step-by-step explanation:

The area is 9,600 square yards.

Carrie's walk forms a right-angled triangle, with the two legs being her north and west paths, and the hypotenuse being the diagonal path back to the start. To find the area of the triangle, we can apply the formula for the area of a right-angled triangle, which is (1/2) * base * height. In this case, the base is her westward walk (80 yards), and the height is her northward walk (240 yards).

Using the formula, the area equals: (1/2) * 80 yards * 240 yards, yielding an area of 9,600 square yards.

Step-by-step explanation:

Based on the given points, we can plot them on a Cartesian plane and determine the resulting shape.The points are:

A: (-5, -6)

B: (0, 0)

C: (-6, -3)

D: (-9, -6)If we connect these points in the order ABCDA, we form a parallelogram.The parallelogram appears in the third quadrant (Quadrant III) of the Cartesian plane, as all the given points have negative x and y coordinates.

Answer:

Step-by-step explanation:

(x+4)2-3(x+4)-3=0

2x+8-3x-12-3=0

-1x-4-3=0

-1x-7=0

-1x=7

x=7/-1

x=-7

Answer:

u= x + 4

Step-by-step explanation:

I just did the as. and quiz

Answer:

Bluetooth = $41

Car Phone = 17

Step-by-step explanation:

Answer:

the bluetooth was $35 and the carphone was $23.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]5x-11=34\qquad\text{add 11 to both isdes}\\\\5x-11+11=34+11\\\\5x=45\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{45}{5}\\\\x=9[/tex]

Answer:

x = 9

Add all numbers up get 45

5x = 45

divide both sides and get 9

Answer:

0.86liters

Step-by-step explanation:

860cm³=0.86dm³=0.86liters

The capacity of the container is 860 cm³.

To find the capacity of the container, we need to understand that the volume and the capacity are essentially the same thing when referring to containers.

The volume of a container is the amount of space it occupies, and the capacity is the amount of fluid or substance it can hold. Since the volume is already given in cubic centimetres (cm³), which is a unit of volume, it directly translates to the capacity of the container.

Therefore, without the need for any conversion or further calculation, we can state that the capacity of the container is 860 cm³. If one were to express this capacity in litres, knowing that 1 liter is equivalent to 1000 cm³, we could perform a conversion:

[tex]\[ \text{Capacity in liters} = \frac{\text{Capacity in cm}^3}{1000} \][/tex]

[tex]\[ \text{Capacity in liters} = \frac{860}{1000} \][/tex]

[tex]\[ \text{Capacity in liters} = 0.86 \][/tex]

So, the capacity of the container is 0.86 litres, which is equivalent to 860 cm³.

Answer:

The answer would be $9 dollars per hour.

Step-by-step explanation:

Let's start off with getting the basics down. She babysits for 2 hours each night for 10 total nights, so we would multiply the two and get 20 hours of babysitting service. We would then take $180 and divide the total money amount by the number of hours to get your money per hour. In this case, the answer is $9 per hour.

The first student read faster than the second student.

Step-by-step explanation:

Step 1:

To determine how long each student takes to read a book, we divide the time taken to read by the number of books read in that period.

Time taken to read a book = [tex]\frac{time taken to read}{number of books read in that period}[/tex].

In the given table, the second column values are times taken to read and the first column represents the number of books read in that period.

Step 2:

For the first student, the time taken is calculated.

The first student's time taken to read a book = [tex]\frac{30}{3}[/tex] = [tex]\frac{50}{5}=\frac{70}{7}[/tex] = 10 minutes to read a book.

Step 3:

Similarly, the time taken to read a book is calculated for the second student.

The first student's time taken to read a book = [tex]\frac{24}{2}=\frac{48}{4}=\frac{72}{6}[/tex] = 12 minutes to read a book.

Step 4:

Now we compare the times taken. The first student read a book in 10 minutes while the second student took 12 minutes for a book. So the first student read faster.

Answer:

No, 4x - 12 ≠ 4x + 6

Step-by-step explanation:

Step 1:  Distribute both expressions

4(x - 3)

(4 * x) + (4 * -3)

(4x) + (-12)

4x - 12

6x - 2(x - 3)

6x - (2 * x) - (2 * -3)

6x - (2x) - (-6)

6x - 2x + 6

4x + 6

Answer:  No, 4x - 12 ≠ 4x + 6

Answer:

Answer:

see below

Step-by-step explanation:

4(2x+4)+5(4x+3)

Distribute

4*2x+4*4  +5*4x+ 5*3

8x+16 +20x +15

Combine like terms

28x +31

Answer:

x = 4

Step-by-step explanation:

Given

13 - 4x = 1 - x ( add x to both sides )

13 - 3x = 1 ( subtract 13 from both sides )

- 3x = - 12 ( divide both sides by - 3 )

x = 4

Answer:

x + 4y = -1

4x + 2y = 10

-8x - 4y = -20

x + 4y = -1

-7x = -21

x = 3

3 + 4y = -1

4y = -4

y = -1