Jennas garden is 5 yd long. How long is her garden in feet?

To find the number of boys, we can use the proportion 3/8 = x/160. Solving the equation, we find that the number of boys is 60.

To find the number of boys, we can use the proportion:

3/8 = x/160

We know that the ratio of boys to girls is 3 to 5, which is equivalent to 3/8. Cross-multiplying the proportion, we get x = (3/8) * 160. Solving the equation, we find that the number of boys is 60.

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The required volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,

The formula for the volume of a square pyramid is:

[tex]$V = \frac{1}{3}Bh$[/tex]

Where B is the base area and h is the pyramid's height.

In this case, the base is a square with a side length of 12 cm, so its area is:

[tex]B = 12^2 = 144cm$^2$[/tex]

The height of the pyramid is 8 cm.

Plugging these values into the formula, we get:

[tex]V = \frac{1}{3}(144)(8) = 384$ cm$^3[/tex]

Therefore, the volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.

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To simplify this expression, you have to remember that when a number or a variable is raised to the negative exponent you have to reciprocate the number. In this expression, c^-8 will be reciprocated so it will become part of the numerator. Therefore, the final answer would be 12c^8/d^2.

Answer:65

Step-by-step explanation:

60 + 5 is 65

Final answer:

To find the number of adult tickets sold, a system of equations is created based on the total tickets sold (757) and the fact that there were 57 more student tickets sold. Solving for x gives us 350 adult tickets.

Explanation:

How to Determine the Number of Adult Tickets Sold

To determine how many adult tickets were sold for the school play when there is a known total of 757 tickets and that 57 more student tickets were sold than adult tickets, we can set up a system of equations to solve for the number of adult and student tickets. Let's let x represent the number of adult tickets, and x + 57 represent the number of student tickets since there were 57 more student tickets sold than adult tickets.

Based on the total number of tickets sold, the following equation represents this relationship:

x (adult tickets) + x + 57 (student tickets) = 757

Combining the like terms gives us:

2x + 57 = 757

Subtracting 57 from both sides gives us:

2x = 700

Dividing both sides by 2 gives us:

x = 350

So, the number of adult tickets sold is 350.

Similar shapes may or may not have equal lengths

Triangles ABC and PRQ are similar by SSS

The corresponding sides on both triangles are:

AB = 8, and PQ = 6

AC = 12, and PR = 9

BC = 12, and QR = 9

Divide the corresponding sides, to determine the scale factor (k)

[tex]k = \frac{6}{8} = \frac{9}{12} = \frac{9}{12}[/tex]

Evaluate the quotients

[tex]k = 0.75 = 0.75 = 0.75[/tex]

Given that the scale factors are equal.

Hence, both triangles are similar by SSS

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Answer:

Step-by-step explanation:

In Geometry, undefined terms refer to concepts like point, line and plane. Which are concepts that cannot be defined, they are too intuitive. Undefined terms are always true, they cannot be prove because those concepts are too primitive.

It's important to know that Geometry develops another complex defintions from these undefined terms, beacuse point, line and plane are the fundamentals of Geometry.

Therefore, the right answer is A.

Other choices are just wrong, because undefined terms aren't condition statments, they cannot be proven and they aren't oppsite of an original statement.

The number of postcards Samantha bought is 12.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Erika bought 6 postcards

Let the number of postcards Erika bought is given by x

Erika bought twice as many postcards as Nathan bought

Let the number of postcards Nathan bought is given by y

x = 2y

Samantha bought 4 times as many postcards as Nathan

Let the number of postcards Samantha bought is given by z

z = 4y

The value of x = 6, so

6 = 2y

y = 3

z = 4y

z = 12

Postcards bought by Samantha is 12.

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Answer:

It's C. 2850.8 in3

Step-by-step explanation:

The circle graph represents how the Townsends spend their monthly income.

Total central angle of the circle is 360°

Townsend saves 5% of the monthly budget.

Therefore, the central angle measure of the section that represents "Savings" is 5% of the total central angle

= 5% of 360°

= 18°

The central angle measure of the section that represents "Savings" is 18°

Hope this helps ..!!

Thank you :)

Answer:

18˚

Step-by-step explanation:

The total amout is 360˚ and this small ooprtion is 18˚.

The missing number in the equation 9/10 minus blank = 1/5 is 7/10. To find this, we converted 1/5 to the common denominator of 10, resulting in 2/10, and subtracted it from 9/10.

To find the missing number in the equation 9/10 minus blank = 1/5, we need to subtract 1/5 from 9/10. To do calculations with fractions, it's essential to have a common denominator. In this case, the least common denominator for 10 and 5 is 10. We need to express 1/5 as 2/10 to match the denominator of 9/10.

Next, we subtract the two fractions:

So, the missing number is 7/10, because 9/10 minus 7/10 equals 1/5. This result becomes clear with the common denominators, as we are able to subtract the numerators directly while keeping the denominator.

Final answer:

To solve for the missing number in the equation 9/10 minus blank equals 1/5, we find a common denominator, move like terms, and solve for x, yielding the missing number 7/10.

Explanation:

To find the missing number in the equation 9/10 minus blank equals 1/5, we need to isolate the blank (let's call it x). To do this, we'll move all known values to one side of the equation.

Start with:

9/10 - x = 1/5

Add x to both sides:

9/10 = x + 1/5

Now, find a common denominator which is 10 in this case, to combine the fractions. This gives us:

9/10 = (x ⋅ 10/10) + (2/10)

Keep in mind, the arithmetic of common denominators to simplify the equation.

Combine like terms:

9/10 = (10x + 2)/10

Multiply both sides by 10 to get rid of the denominator:

9 = 10x + 2

Subtract 2 from both sides:

7 = 10x

Finally, divide by 10:

x = 7/10

So, the missing number is 7/10.

x^3 -6x = 3x^2 -8

x^3 - 3x^2 -6x = -8

x^3 - 3x^2 -6x +8 = 0

 now factor:

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

(x-4) (x-1)(x+2) = 0

 the roots are  4, 1, -2

 answer is the last one

Using a standard shoe size chart, the foot length for a size 10 1/2 shoe is approximately 11.1 inches when rounded to the nearest tenth of an inch.

To determine the length of the foot for a person who wears a size 10 1/2 shoe to the nearest tenth of an inch, we reference a standard shoe size chart. Shoe sizes are an approximation of the foot length they are intended to fit, with different increments representing each half-size increase. For a size 10 shoe, the approximate length is given as around 10.9 to 11 inches. Considering half sizes add approximately 1/6 of an inch, a size 10 1/2 would be approximately 11.1 inches long when measured accurately. However, shoe size to foot length can vary slightly by manufacturer, so this is a general estimate.

Answer:

1.25x

Step-by-step explanation: