Ari is painting blocks of wood for a project. Each block is 8 cm long, 4 cm wide, and 5 cm high. What is the surface area of each block?​

There are 8 children share two pics, the number of pics they all are shared is a fraction equals to the [tex] \frac{ 1}{4} [/tex].

Fractions denotes the parts of a whole or collection of things. A fraction has mainly two parts. The number which lie on the top of the line is known as the numerator. It describes how many equal parts of the whole or collection are taken. The number which lies below the line is called the denominator. There are 8 children share 2 pics equally. That is 2 is divided into 8 childrens equally. Then the part of 2 which each one get is represented by the fraction, [tex] \frac{ 2}{8} [/tex]. That is numinator is 2 and denominator is 8. On simplyfication, it is [tex] \frac{ 1}{4} [/tex]. Hence, required value is [tex] \frac{ 1}{4} [/tex].

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The solution is, The number is 280.

We have,

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

Let the number be x.

According to the given question.

5/8 of number is 175.

The linear equation in one variable of the above statement is given by

5/8 * (x) = 175

Solve the above linear equation in one variable for x.

⇒5/8 * (x) = 175              ( multiplying both the sides by 8)

⇒ 5x = 175 * 8

⇒ 5x = 1400               ( dividing both the sides by 5)

⇒ x = 280

Hence, the number is 280.

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Based on the given diagram, we can see that the angles in a triangle sum up to 180 degrees the value of x is 30 units.

In a triangle, the sum of the three interior angles always adds up to 180 degrees. This is known as the angle sum property of a triangle.

It means that if you add up the measures of the three angles of any triangle, the result will always be 180 degrees.

We can set up an equation:

2x + 50 + 3x - 20 = 180

Simplifying the left side of the equation:

5x + 30 = 180

Subtracting 30 from both sides:

5x = 150

Dividing both sides by 5:

x = 30

Thus, the value of x as per the given angles, is 30 units.

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The area of the window that Emily created, given the value of pi and the dimensions is 377. 04 in ².

To find the area, you can divide the shape into two different figures which would be the semi circle and the rectangle.

Area of the rectangle is:

= 12 in  x 22 in

= 264 in ²

Then find the area of the semi circle by the formula :

= Pi x radius x radius

= 3. 14 x 6 x 6

= 3. 14 x 36

= 113. 04 in ²

The area of the window is:

= 264 + 113. 04

= 377. 04 in ²

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The probability that at least one of the three randomly selected people has been vaccinated is approximately  961/1000 as a fraction.

Percent of vaccinated people = 66%

Number of people randomly selected = 3

The probability that a person has been vaccinated is

= 66%

=  0.66 as a decimal.

The probability that at least one of three people has been vaccinated

= Total probability - Probability that none of them have been vaccinated

Total probability = 1

The probability that the first person selected has not been vaccinated is

1 - 0.66 = 0.34.

The probability that the second person selected has not been vaccinated is also 0.34.

And the same goes for the third person.

So, the probability that none of the three people have been vaccinated is,

= 0.34 x 0.34 x 0.34

= 0.039304

The probability that at least one of the three people has been vaccinated is ,

= 1 - 0.039304

= 0.960696

= 0.961

= 961/1000 as a fraction.

Therefore, the probability that at least one of the three people has been vaccinated is approximately  961/1000 as a fraction.

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Step-by-step explanation:

Sure, here's a step-by-step response you can use:

"Hey, that's a good question! Let me explain why (2x + 1)^2 is not equal to 4x^2 + 1.

When we see an expression like (2x + 1)^2, we know that it means we need to multiply (2x + 1) by itself. So let's do that first:

(2x + 1)^2 = (2x + 1) x (2x + 1)

Now we can use the FOIL method to multiply these two expressions together:

(2x + 1) x (2x + 1) = 4x^2 + 2x + 2x + 1

If we simplify the middle terms by adding them together, we get:

(2x + 1) x (2x + 1) = 4x^2 + 4x + 1

So the expression (2x + 1)^2 simplifies to 4x^2 + 4x + 1, not 4x^2 + 1.

I can see why you might have thought the answer was 4x^2 + 1, since that's the first term in the expression we got. But we can't forget about the two middle terms that come from multiplying 2x and 1 together twice.

I hope that helps clear things up! Let me know if you have any more questions."

The X would be on the line at 1.5cm in first case while in second case it would be at 4.5cm.

A line is a geometric figure that is defined as a straight, continuous arrangement of infinitely many points extending infinitely in both directions. In mathematics, a line is often represented by a straight line with arrows on both ends, indicating its infinite nature.

In mathematics, a point is a precise location in space that has no size or dimension. It is often represented as a dot or a small circle. Points are used as basic elements in geometry and other branches of mathematics to define and describe shapes, lines, curves, and other objects. They are typically named using a single capital letter or a combination of letters and numbers.

a) Since AX:AB = 1:3, we can find the length of AX by dividing the length of AB by 4 (1+3). Thus, AX = (1/4)×AB = (1/4)×6 cm = 1.5 cm. To mark point X on the line, we can start at point A and measure 1.5 cm towards point B and mark that point with a cross.

b) Similarly, since PX:XQ = 1:3, we can find the length of XQ by dividing the length of PX by 4 (1+3). Thus, XQ = (3/4)×PX = (3/4)×6 cm = 4.5 cm. To mark point X on the line, we can start at point P and measure 4.5 cm towards point Q and mark that point with a cross. We can mark the points with red x's for clarity.

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The area of the park to the nearest unit is 85454 ft²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

A triangle is a 3 sided polygon. The types of triangle are,; equilateral, scalene , isosceles triangle e.t.c

The area of a triangle is expressed as;

A = 1/2 absinC

here, a = 487ft, b= 465ft and C = 49°

therefore;

A = 1/2 × 487 × 465 × sin49°

A = 1/2 × 226455 × 0.755

A = 113227.5 × 0.755

A = 85454 ft² ( nearest unit)

Therefore the area of the park to the nearest unit is 85454ft²

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Answer:

No

Step-by-step explanation:

3^5 or using a superscript, 3⁵ means 3 × 3 × 3 × 3 × 3 which is 243

The 5 is an exponent. This format is a shortcut for multiplying. But it means to multiply 3 times itself, over and over again (5 times)

3 × 5 is of course regular multiplication as your learned in elementary school. 3 × 5 is just 15. (regular multiplication like this is a shortcut for adding-- it means to add 3 groups of 5 or 5 groups of 3)

The equation of the circle will be -

(x - 4)² + (y - 13)² = 64

The general equation of a circle with (h, k) representing the circle's center, and {r} represents the length of its radius is

(x – h)² + (y – k)² = r²

We can write the equation of the circle as -

(x – h)² + (y – k)² = r²

(x - 4)² + (y - 13)² = r²

(x - 4)² + (y - 13)² = r²

(x - 4)² + (y - 13)² = r²

Also -

2πr = 16π

r = 8

So. the equation of the circle will be -

(x - 4)² + (y - 13)² = 64

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The probability that the sum of the cards is greater than 7 is 0. 6 .

To find the probability that the sum of the cards that we picked is greater than 7, first find the total possible cards that we can pick to be:

C(6, 2) = 6! / (2!(6-2)!) = 6! / (2!4!) = (6 × 5) / (2 × 1) = 15

Then find the pairs that would result in a number greater than 7 to be 9 pairs.

The probability would then be:

= Number of pairs greater than 7 / Total number of pairs

= 9 / 15

= 0. 6

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The teacher can pick students for problems 4 and 9 in front of the class in 435 ways.

There are 30 students in the class, and the teacher needs to pick 2 different students to answer problems 4 and 9.

This is a combination problem, and we can use the formula for combinations

n C r = n! / (r! (n - r)!)

where n is the total number of items, r is the number of items to be selected, and ! denotes the factorial function (i.e., the product of all positive integers up to that number).

In this case, we have

n = 30 (total number of students)

r = 2 (number of students to be selected)

So the number of ways the teacher can pick students for the problems is

30 C 2 = 30! / (2! (30 - 2)!) = 435

Therefore, there are 435 ways the teacher can pick students for the problems.

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The answer of the number simplified in scientific notation is 1 × 10¹.

Scientific notation is a way of expressing very large or very small numbers using powers of 10. In scientific notation, a number is written as a coefficient multiplied by 10 raised to an exponent.

(2 × 10⁻³)/(2 × 10⁻⁴) = 2¹⁻¹ × 10⁻³⁻⁽⁻⁴⁾

(2 × 10⁻³)/(2 × 10⁻⁴) = 2¹⁻¹ × 10⁻³⁺⁴

(2 × 10⁻³)/(2 × 10⁻⁴) = 2⁰ × 10¹

(2 × 10⁻³)/(2 × 10⁻⁴) = 1 × 10¹ {numbers to the power of zero is equal to 1}

Therefore, the answer of the number simplified in scientific notation is 1 × 10¹.

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Answer:

-5/6

Step-by-step explanation:

y=mx+6

so,

6y=-5x+48

y=-5/6x+48

m=-5/6

Since she travels 183 miles in 3 hours, her speed is:

183 miles / 3 hours = 61 miles per hour

To calculate how long it will take her to drive a total of 366 miles, we can use the formula:

time = distance / speed

Plugging in the values, we get:

time = 366 miles / 61 miles per hour

time = 6 hours

Therefore, it will take Meghann 6 hours to drive a total of 366 miles at a constant speed using cruise control.

Answer:

a+ b 2

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

1/3x+4=-2/3x+12

add 2/3x to both sides

1x+4=12

subtract 4 from both sides

x=8

Hope this helps! :)

Answer:21

Step-by-step explanation:

The area of this figure based on the information will be 10cm²

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

From the information, the shape gas sides 5cm and 2cm. The area of this figure will be:

= Length × Width

= 5cm × 2cm

= 10cm²

In conclusion, the area of this figure based on the information will be 10cm²

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A shape has sides 5mm and 2mm. Find the area of the polygon.

16 cm

10 cm

12 cm

24 cm

The dot plot that shows a representative sample of the population is given as follows:

Option C.

A dot plot shows the number of times that each observations appears in the data-set.

Hence a representative sample is a sample in which the observations appear in proportions similar to that of the dot plot of the population, which is given by option C.

The sample is representative as observations 4 and 7 have the highest number of dots, same as for the dot plot of the population.

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Answer:

y=-2x-3

Step-by-step explanation:

The point you first stated (0, -3) is the y-intercept of the line given that the x is zero. Parallel lines share a slope. Soooooooooo the equation would be y=-2x-3

Answer: y=-2x-3

hope this helps

The cost of the hat is £5.

Let's say that the hat costs x pounds.

The cardigan's price might be represented as follows as it is £8 more expensive than the hat according to the problem:

x + £8

The cap and cardigan combined are listed as costing £18. Thus, we may represent an equation as:

x + (x + £8) = £18

Simplifying this equation, we get:

2x + £8 = £18

Subtracting £8 from both sides, we get:

2x = £10

Dividing both sides by 2, we get:

x = £5

Therefore, the hat costs £5.

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If A computer lab had 1,000 sheets of paper for the printer and last month, 378 sheets of paper were used, the fraction of the sheets that were not used is 0.622 which is 62.2 percent.

To find out what portion of the sheets were not used, we need to subtract the number of sheets used from the total number of sheets and then divide the result by the total number of sheets.

Number of sheets not used = Total number of sheets - Number of sheets used

Number of sheets not used = 1000 - 378 = 622

Now we need to divide the number of sheets not used by the total number of sheets:

A portion of sheets not used = Number of sheets not used / Total number of sheets

Portion of sheets not used = 622 / 1000 = 0.622

Therefore, 0.622 or 62.2% of the sheets were not used.

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Answer:

The denominator is equivalent to the number of segments that the whole is divided into.

The denominator is the bottom number of a fraction.

Answer:

C d e

Step-by-step explanation:

Answer: Spade 3.

Step-by-step explanation: I took this test and after submission it showed the right answer!

The actual width of the tent is 72 inches.

Information given in the problem:

Scale: 1 inch : 3 feet

Width of tent on the drawing: 2 inches

The scale is same as

1 inch : 36 inches

2 inches :

Using the proportion from the scale:

Cross multiplying, we get:

1 inch × Actual width of the tent = 2 inches × 36 inches

Actual width of the tent = (2 inches × 36 inches) / 1 inch

Actual width of the tent = 72 inches

hence, the actual width of the tent is 72 inches.

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The value of the stock investment a year ago is $19,200.

A stock is an investment that gives the holder ownership of the company where the stock was purchased. The stock holder receives dividends when declared by the company.

The value of the stock last year would be 20% greater last year than it is today.

Value of the stock last year = value of the stock today x (1 + rate of decline)

= $16,000 x (1 + 20%/100)

= $16,000 x (1 + 0.2)

= $16,000 x 1.2

= $19,200

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Answer:

6x-48

Step-by-step explanation:

Multiply using the distributive property.

Step 1:

Multiply 6 and x:

Step 2:

Multiply 6 and -8:

Step 3:

Put them together:

Step 4:

have a good day :)

The probability that a sample mean is between 137 and 143 is given as follows:

0.754 = 75.40%.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for this problem are given as follows:

[tex]\mu = 140, \sigma = 47, n = 330, s = \frac{47}{\sqrt{330}} = 2.59[/tex]

The probability that a sample mean is between 137 and 143 is the p-value of Z when X = 143 subtracted by the p-value of Z when X = 137, hence:

X = 143:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (143 - 140)/2.59

Z = 1.16 has a p-value of 0.877.

X = 137:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (137 - 140)/2.59

Z = -1.16 has a p-value of 0.1230.

Hence the probability is of:

0.877 - 0.123 = 0.754 = 75.40%.

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