If $7 - 4x = 15$, what is the value of $8x + 2$?

The lateral area of the cylinder is approximately [tex]45.24 \, \text{cm}^2\)[/tex] and the volume is approximately [tex]\(45.24 \, \text{cm}^3\)[/tex].

To find the lateral area and volume of a cylinder, you can use the following formulas:

1. Lateral Area [tex](\(A_{\text{Lateral}})\)[/tex]:

[tex]\[ A_{\text{Lateral}} = 2 \pi r h \][/tex]

  where r  is the radius of the base and  h  is the height.

2. Volume (V):

 [tex]\[ V = \pi r^2 h \][/tex]

Given that the diameter (D) is 4 cm, the radius (r) is half of the diameter, so [tex]\( r = \frac{D}{2} = \frac{4}{2} = 2 \)[/tex] cm, and the height (h) is 3.6 cm.

Now, let's calculate:

1. Lateral Area:

 [tex]\[ A_{\text{Lateral}} = 2 \pi \times 2 \times 3.6 \][/tex]

2. Volume:

[tex]\[ V = \pi \times 2^2 \times 3.6 \][/tex]

Calculating these values:

1. Lateral Area:

[tex]\[ A_{\text{Lateral}} \approx 45.24 \, \text{cm}^2 \][/tex]

2. Volume:

[tex]\[ V \approx 45.24 \, \text{cm}^3 \][/tex]

So, the lateral area of the cylinder is approximately [tex]45.24 \, \text{cm}^2\)[/tex] and the volume is approximately [tex]\(45.24 \, \text{cm}^3\)[/tex].

Complete Question: Find the lateral area and volume of the cylinder whose diameter is 4 cm and height= 3.6cm.

Answer:

  25

Step-by-step explanation:

Area is the square of the side length, so

  s^2 = 25^2

Matching parts of this expression, we see ...

  s = 25

The length of each side is 25.

Answer:

Its true.A rectangle is never a rhombus.

Answer:

This is actually false according to most accepted definitions - a rectangle that has equal sides would be a square, and thus also a rhombus.

Step-by-step explanation:

The definition of a rhombus is that it has 4 equal sides.

Also, the definition of a rectangle is that it has two pairs or equal sides, and all angles are 90 degrees.

So a square is a special case of a rectangle. And a square is also a special case of a rhombus.

Meaning that a square is both a rhombus and a rectangle, so any rectangle with equal sides would also be a rhombus.

Answer:

n=2/3

Step-by-step explanation:

n=1/2÷3/4

n=1/2×4/3

n=4/6

n=2/3

Answer:

The answer is the first one

Answer: 14

Step-by-step explanation: If you add 7 to 8 you get 15 so if he spent half of his allowance you multiply 7 by 2 so your answer is 14.

James's weekly allowance is calculated by setting up an equation based on the information given. After spending half of his allowance on clothes and earning an additional $8, the equation 0.5A + $8 = $15 is solved to reveal that James's weekly allowance is $14.

The student's question involves solving for James's weekly allowance, given that he spent half of it on clothes and earned an additional $8 by cleaning the oven, which resulted in him having a total of $15 at the end. To solve the problem, we need to set up an equation where 'A' represents James's weekly allowance.

James spent half of his allowance on clothes, which means he has half of it left. So, we can represent this as 0.5A. Then he adds $8 from cleaning the oven: 0.5A + $8 = $15. We isolate 'A' by subtracting $8 from both sides of the equation: 0.5A = $15 - $8, which simplifies to 0.5A = $7. To find the full value of his allowance (A), we divide by 0.5: A = $7 / 0.5, so A = $14.

Thus, James's weekly allowance is $14.

Answer:

I have solved the question and it is in the picture above I solve the quadratic equation using factorization method I can solve it using the quadratic formula or completing the square method if you want any of these just comment below thank you bye

Answer:

Yes

Step-by-step explanation:

Since the longest side is 6.5 cm, so let it be hypotenuse c.

Verifying by right angle formula

c^2=a^2+b^2

(6.5)^2=(3.9)^2+(5.2)^2

42.25=15.21+27.04

42.25=42.25

Hence the given triangle is a right angles triangle

Answer:

The difference in finishing time between the 2nd and 3rd places is the shortest and it is 0.07 seconds.

Step-by-step explanation:

The first positioned swimmer took 55.98 seconds and the second positioned swimmer took 56.87 seconds to complete the race.

So, the difference is (56.87 - 55.98) = 0.89 seconds.

The second positioned swimmer took 56.87 seconds and the third positioned swimmer took 56.94 seconds to complete the race.

So, the difference is (56.94 - 56.87) = 0.07 seconds.

The third positioned swimmer took 56.94 seconds and the fourth positioned swimmer took 57.17 seconds to complete the race.

So, the difference is (57.17 - 56.94) = 0.23 seconds.

The fourth positioned swimmer took 57.17 seconds and the fifth positioned swimmer took 57.27 seconds to complete the race.

So, the difference is (57.27 - 57.17) = 0.10 seconds.

The fifth positioned swimmer took 57.27 seconds and the sixth positioned swimmer took 57.35 seconds to complete the race.

So, the difference is (57.27 - 57.35) = 0.08 seconds.

Therefore, the difference in finishing time between the 2nd and 3rd places is the shortest and it is 0.07 seconds. (Answer)

Answer:

Between which two places is the difference in finishing times the shortest?

2 & 3

What is the difference in those times?

0.07

Step-by-step explanation:

i do

Answer:

You can say it as 1 : 24

Step-by-step explanation:

Answer:

The x-coordinate of the point of intersection is -2

Step-by-step explanation:

Here we have a typical system of linear equations whose solution will give us both the x- and the y- coordinates (i.e. the intersection point).

Let us solve the system and find which matches the available options, as follow. Given:

[tex]2x+y=1\\9x+3y=-3[/tex]

Taking the first expression and re arranging to solve for [tex]x[/tex] we have:

[tex]2x+y=1\\2x=1-y\\x=\frac{1-y}{2}[/tex]       Eqn.(1)

Plugging in it, in the second expression we then have

[tex]9(\frac{1-y}{2} )+3y=-3\\\\\frac{9}{2}-\frac{9y}{2}+3y=-3\\ \\\frac{9}{2}-\frac{9y}{2}+\frac{6y}{2}=-\frac{6}{2}\\ \\-\frac{9y}{2}+\frac{6y}{2}=-\frac{6}{2}-\frac{9}{2}\\-3y=-15\\y=\frac{-15}{-3}\\ y=5[/tex]

So finally plugging in the y value in Eqn.(1) we have

[tex]x=\frac{1-5}{2} \\x=\frac{-4}{2}\\ x=-2[/tex]

The x-coordinate of the point of intersection is -2

Answer:

1/2 is equivalent to 50%

Step-by-step explanation:

In order to convert a fraction to a percentage you divide the numerator (Top number of a fraction) by the denominator (Bottom number of a fraction), multiply by 100, and add a percentage sign.

So lets try that with our first answer option A) 1/2:

1 divided by 2 = 0.5

0.5 x 100 = 50

50%

So we know that 1/2 is equivalent to 50%

Answer: 8 ten thousands

Explanation: To determine what the digit 8 means in 1,284,590, if we put 1,284,590 into the place value chart, we can see that the the 8 appears in the tens column of the thousands period so the digit 8 in this number means 8 ten thousands.

Answer:

540

Step-by-step explanation:

4×4×15×6×6=540

Explanation:

hope it helps

The volume of the solid rectangular prism with a hole is 444 mm³.

The correct answer is option A.

To find the volume of the solid rectangular prism with a hole, we calculate the volume of the outer rectangular prism and subtract the volume of the inner rectangular prism.

Volume of the Outer Rectangular Prism:

The outer rectangular prism has dimensions 15 mm (length) × 6 mm (width) × 6 mm (height). The volume (V_outer) is given by:

Volume_outer = length × width × height = 15 × 6 × 6 = 540 mm³.

Volume of the Inner Rectangular Prism:

The inner rectangular prism has dimensions 4 mm (length) × 4 mm (width) × the height of the outer prism (6 mm). The volume (V_inner) is given by:

Volume_inner = length × width × height = 4 × 4 × 6 = 96 mm³.

Volume of the Solid Rectangular Prism with Hole:

Subtracting the volume of the inner prism from the volume of the outer prism gives the volume of the solid:

Volume_solid = V_outer - V_inner = 540 - 96 = 444 mm³.

Therefore, the correct volume of the solid rectangular prism with a hole is 444 mm³.

The question probable may be:

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.

A. 444

B.300

C.540

D.780

Answer:

the eight pound bag is better because you would have to pay $10.76 if you buy two of the 4 pound bags so you are saving $3.36

Step-by-step explanation:

Answer:

the 8 pound buy

Step-by-step explanation:

The simple interest rate was: 1.25%

Step-by-step explanation:

Simple interest is given by:

[tex]A = Prt\\Here\\A => Interest\\P=>Principal\ Amount\\r => Rate\\t => Time\ in\ years[/tex]

Given

Principal amount =$3000

Time = t = 2 years

Interest amount = A = $75

putting the values in the formula

[tex]75 = 3000 * r * 2\\75 = 6000r[/tex]

Dividing both sides by 6000

[tex]\frac{6000r}{6000} = \frac{75}{6000}\\r = 0.0125\\[/tex]

So,

The rate is:

0.0125 * 100 = 1.25%

Hence,

the simple interest rate was: 1.25%

Keywords: Simple interest, percentage

Learn more about interest at:

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So you have a diagram or picture of the triangle?

Anyways...

Answer: 36

Explanation:

3:5:7 is the ratio of the triangle's angles

The sum of all angles = 180 degrees.

3 + 5 + 7 = 15

Lets assume 'a' is the smallest angle with the ratio of 3

b is the second largest with a ratio of 5

And c is the largest angle with the ratio of 7

In other words:

a + b + c = 180

For 15 to get to 180 => 180 ÷ 15 = 12

So 15 × 12 = 180

So for 3 to get to a => 3 × 12 = 36

Thus the smallest angle is 36 degrees

Answer:s

The three angles are 36, 60, and 84 degrees

Smallest angle is 36 degrees

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

Explanation

The ratio 3:5:7 is equivalent to 3x:5x:7x as we can multiply all parts of any ratio by the same number, and still have it be the same ratio.

So we can think of the three angles as 3x, 5x, 7x

Add up those angles. Set them equal to 180 and solve for x.

3x+5x+7x = 180

15x = 180

x = 180/15

x = 12

Use this x value to find the three angle measures

3x = 3*12 = 36

5x = 5*12 = 60

7x = 7*12 = 84

As a check, add up the angles to get: 36+60+84 = 180

So the answer is confirmed.

Answer:

YES

Step-by-step explanation:

Quadrilateral have 4 sides and their sum  of angles is 360 and parallelogram also have 4 sides and sum of angles is 360

Final answer:

The statement that a parallelogram is a quadrilateral is true. A parallelogram is a type of quadrilateral with parallel opposite sides, and its properties are related to the parallelogram law in vector addition.

Explanation:

A parallelogram is indeed a type of quadrilateral with two pairs of parallel sides. In geometry, quadrilaterals are four-sided polygons, and parallelograms are a specific class within that category. Furthermore, in the context of vector addition, the parallelogram law shows how two vectors can combine to form the sides of a parallelogram. This law is closely related to the triangle law of vector addition as both can depict how vectors combine.

An example of the parallelogram's properties in advanced concepts would be where two objects at rest have world-lines that define a rectangle which may become a parallelogram in a different frame of reference. Additionally, the concept of vectors is also relevant when discussing the diagonals of a rhombus, which is a special type of parallelogram with all sides equal in length. Using vectors and their scalar products, it can be shown that the diagonals of a rhombus are always perpendicular to each other.

Answer: -15

Step-by-step explanation:

[tex]x^{4}[/tex] + 24 = 105

subtract 24 from both sides of the equation .

[tex]x^{4}[/tex] = 105 - 24

[tex]x^{4}[/tex] = 81

find the fourth root of both sides

x = 3

Therefore : substitute x = 3 to find the value of [tex]x^{2} -24[/tex]

[tex]x^{2}[/tex] - 24  =  [tex]3^{2}[/tex] - 24

= 9 - 24

= - 15

Answer:

(144.9;145.5) so from 144.9 to 145.5lbs

Answer:

Step-by-step explanation:

Total cost for trip = 290 + 50 + 95*5 =290+50+ 475 = $ 815

Savings = $143

Money needed = 815 - 143 = $ 672

No. of driveways = 672/48 = 14

14 driveways must she shovel to have enough money to pay for the trip.

Sneha needs to calculate the total cost of her vacation which is $815. After taking into account her savings, she requires an additional $672. As she earns $48 shoveling each driveway, she would need to shovel 15 driveways.

This is a question of basic algebra and problem solving. Sneha needs to calculate the total cost of her vacation first. She will spend $50 on transportation, $290 on food, and $95 per night for the hotel for 5 nights, or $475 ($95 x 5) for the hotel total.

Adding these amounts together, Sneha's vacation will cost $815 ($50 + $290 + $475). She currently has $143 in savings, meaning she needs $672 more dollars ($815 - $143).

As Sneha earns $48 for each driveway she shovels, we divide the total she needs by the earning for each driveway. That gives us 14 driveways. As Sneha can't shovel a fraction of a driveway, she will need to shovel 15 driveways in total.

https://brainly.com/question/31606357

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Answer:

45 fake dollar.

Step-by-step explanation:

Given: teacher offer 5 fake dollar for each perfect score in Math test.

           One of Student get perfect score on 4 maths test.

          Student already have 25 fake dollor.

Now, solving to find total number of fake dollar teacher offered to student.

As given teacher offer 5 dollar for each perfect score in maths test and student got perfect score on 4 maths test.

Number of fake dollar offer to the student= [tex]Fake\ dollar\ offered\ for\ each\ perfect\ score\ \times\ number\ of\ maths\ test\ with\ perfect\ score[/tex]∴ Number of fake dollar offered to the student=  [tex]5\times 4= 20\ fake\ dollar[/tex]

We know, student already have 25 fake dollar.

Next, finding total number of fake dollar student have.

Total fake dollar student have= [tex]fake\ dollar\ offered\ by\ teacher + fake\ dollar\ student\ already\ have[/tex].

Total fake dollar student have= [tex]20+25= 45\ fake\ dollar[/tex]

Hence, student have total 45 fake dollar to spend in the class store.

[tex]x = 4.82[/tex]

Step-by-step explanation:

Given equation is:

6.2 ÷ (2x+1) = 2 1/3 ÷4

Applying the division operation

[tex]\frac{6.2}{2x+1} = 2\frac{1}{3} * \frac{1}{4}\\\frac{6.2}{2x+1} = \frac{7}{3}*\frac{1}{4}\\\frac{6.2}{2x+1} =\frac{7}{12}\\[/tex]

Cross multiplication

[tex]6.2(12) = 7(2x+1)\\14x+7 = 74.4\\14x = 74.4-7\\14x = 67.4[/tex]

Dividing both sides by 14

[tex]\frac{14x}{14} = \frac{67.4}{14}\\x = 4.8142857....[/tex]

Rounding off to nearest hundredth

[tex]x = 4.82[/tex]

Keywords: Linear equation, variables

Learn more about linear equation at:

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Answer: [tex]\frac{67}{24}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} /2^{4}+(\frac{3}{4} +\frac{1}{6})/\frac{1}{3} \\\\\frac{2}{3} /2^{4}+ \frac{11}{12} /\frac{1}{3} = \frac{2}{3} /16+ \frac{11}{12} /\frac{1}{3}[/tex]

Use the rule a÷b/c=a*c/b

[tex]\frac{2}{3} *\frac{1}{16}+ \frac{11}{12}/ \frac{1}{3}[/tex]

Use the rule a/b*c/d=ac/bd

[tex]\frac{2}{3*16}+ \frac{11}{12}/ \frac{1}{3} \\\\\frac{2}{48} +\frac{11}{12}/ \frac{1}{3} \\\\\frac{1}{24}+\frac{11}{12}/\frac{1}{3}[/tex]

Use the rule a÷b/c=a*c/b

[tex]\frac{1}{24} +\frac{11}{12} *3[/tex]

Use the rule a/b*c=ac/b

[tex]\frac{1}{24}+ \frac{11*3}{12}[/tex]

Simplify three times then you're done.

[tex]\frac{1}{24}+ \frac{33}{12}= \frac{1}{24}+ \frac{11}{4} =\frac{67}{24}[/tex]

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

The x intercept is [tex](\frac{18}{5} , 0)[/tex]

The y intercept is (0, -2)

Solution:

Given equation is:

-5x + 9y = -18

We have to find the y intercept and x intercept

The x-intercept is the point at which the line crosses the x-axis. At this point, the y-coordinate is zero.

The y-intercept is the point at which the line crosses the y-axis. At this point, the x-coordinate is zero

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'.

Substitute y = 0 in given equation

[tex]-5x + 9(0) = -18\\\\-5x = -18\\\\x = \frac{18}{5}[/tex]

[tex]\text{Thus the x - intercept is } (\frac{18}{5}, 0)[/tex]

To find the y-intercept, plug 0 in for 'x' and solve for 'y'

Substitute x = 0 in given equation

[tex]-5(0) + 9y = -18\\\\9y = -18\\\\y = -2[/tex]

Thus the y intercept is (0, -2)

Let us see...

50 head of cattle = 24,500

Divide everything by 50: 1 head of cattle = $490

37 head of cattle = 18,870

Divide the entire equation by 37: 1 head of cattle = $510

The second choice would cost a person $20 more than the first choice, so 50 head of cattle for $24,500 is a better buy.

150 grams of zinc is present

Solution:

Given that, ratio of zinc to copper is 3 to 13

A jar of the chemical contains 650 grams of copper

From given information,

zinc : copper = 3 : 13

Let the zinc present be 3x

Let the copper present be 13x

Given that, jar contains 650 grams of copper

13x = 650

x = 50

Substitute x = 50 in 3x

Zinc present = 3x = 3(50) = 150

Thus it contains 150 grams of zinc

Answer:

Explanation:

The variability of a sample may be described by using some common statistics like the variance and the standard deviation.

The variance and the standard deviation measure the difference between the values of the data  and the mean. The variance is the average square of those differences or deviations. The standard deviation is the square root of the variance.

Thus, both variance and deviations, being an average of the differences of the data from the mean contain the number of data in the denominator of the equation.

That lets you know to conclude that the larger the number of data (the larger the sample) the smaller the variance and the standard deviation, this is the lower the variability of the data.

Hence, Network C, which has the greatest number of voters sampled (1,800) is likely to have the least variability.

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A and D are the same spots on the triangles, B and E are the same spots, and C and F are the same spots.

Answer:

Step-by-step explanation:

Value of x should be  less than (-6).

x = { .......,-9,-8,-7}

For example:

-15*-7 +80 = 105+80 = 185 >170

The solution to the inequality -15x + 80 > 170 is x < -6. We subtract 80 from both sides and then divide by -15, remembering to reverse the inequality sign.

The question provided asks for the solution to the inequality -15x + 80 > 170. To solve the inequality, we can follow these steps:

Therefore, the solution to the inequality is all values of x that are less than -6.