how could you use 1/8 cup measuring cup to measure the light corn syrup 9/12)

Answers

Answer 1
What we can do in this case is to draw the number of cups of 1/8 that are needed to reach the measure of 9/12.
 We have then:
 (9/12) / (1/8)
 Applying double c:
 ((9) * (8)) / (12)
 Simplifying:
 ((9) * (2)) / (3)
 ((3) * (2)) / (1)
 (3) * (2)
 6
 Answer:
 It takes 6 cups of 1/8 to measure the light corn syrup 9/12
Answer 2

Final answer:

To measure 9/12 or 3/4 of a cup of syrup using a 1/8 cup, fill and level-off the 1/8 cup measuring cup six times. This uses basic fraction multiplication and measurement skills appropriate for middle school mathematics.

Explanation:

To measure light corn syrup using a 1/8 cup measuring cup, you first need to understand the fraction you're working with, which is 9/12 of a cup. Simplifying this fraction gives you 3/4 of a cup (since 9/12 reduces to 3/4 by dividing both the numerator and denominator by 3). Now, since there are 8 portions of 1/8 in a full cup, you need 6 portions of 1/8 (because 3/4 equals 6/8) to measure out 3/4 of a cup of light corn syrup.

To do this, you'll fill the 1/8 cup measuring cup six times and add each portion to your mixture to reach the desired amount of 9/12 or 3/4 of a cup of syrup. This is a simple example of using measurements and fractions to achieve the correct proportions in a recipe or any culinary preparation.


Related Questions

Jack is in hospital and his temperature is recorded every hour one morning. Time Temperature 06:00 40.0 07:00 40.0 08:00 39.5 09:00 39.0 10:00 38.5 11:00 38.0 12:00 38.0 Which is the best type of chart to use to represent this information? scatter diagram, pictogram, pie chart, line graph, tally chart, bar chart?

Answers

Line graph, it is about a chance during a period of time.

Here we are given two types of data : Time and Temperature.

We can plot one of these on x axis and the other on y axis.

So we can use a line graph here.


!100! POINTS PLEASE HELP ME BRAINLIEST!!!!!!!!!!!!

Answers

This should be a basic system of equations problem
-------------
12x + 4y = 152
32x + 12y =420
-----------------------
First solve 12x + 4y = 152 for x
Add -4y to each side
12x+4y+-4y=152+-4y
12x=-4y+152
----------------------------
Divide each side by 12
12x ÷ 12 = [tex] \frac{-4y+152}{12} [/tex]
x = -1/3y + 38/3
============================================================
Substitute -1/3y + 38/3 for x in 32x+12y=420
32(-1/3y + 38/3)+12y=420
-------------
Simplify each side
4/3y + 1216/3 = 420
-------------------
Add -1216/3 on each side
4/3y + 1216/3 + -1216/3 = 420 + -1216/3
4/3y = 44/3
-------------------------
Divide each side by 4/3
4/3y ÷ 4/3 = 44/3 ÷ 4/3
y = 11
y = 11 is your answer

Answer:

y = 11 is your answer

You process paychecks for your company. Paydays are 2 weeks apart, on Fridays. The first payday in one month is on the 12th. The next payday is on the:

Answers

it will be on friday the 26th

Answer:

The next payday is on the: 26th of that month.

Step-by-step explanation:

You process paychecks for your company.

Paydays are 2 weeks apart, on Fridays.

2 weeks apart means 14 days apart.

The first payday in one month is on the 12th.

Therefore, The next payday is on the: [tex]12+14=26[/tex]

26th of that month.

The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 6000 Fun Noodles per day during the summer. Raising the price to $4 will cause the sales to fall to 5000 Fun Noodles per day.

a. Assume the the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pars of the form (sales price, number sold).

The equation is?

b. Predict the daily sales of Fun Noodles if the price is $3.50.

? sales

? sales

Answers

PART A:
 The generic equation of the line is:
 y-yo = m (x-xo)
 First we look for the slope of the line:
 m = (y2-y1) / (x2-x1)
 m = ((5000) - (6000)) / (4-3)
 m = -1000
 Then, we substitute any point in the generic equation:
 (xo, yo) = (4, 5000)
 Substituting:
 y-5000 = (- 1000) (x-4)
 Rewriting:
 y = -1000x + 4000 + 5000
 y = -1000x + 9000
 The equation is:
 y = -1000x + 9000

 PART B: 
 For the price of 3.50 we have:
 y = -1000 * (3.5) +9000
 y = 5500

(a) The equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) The daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

(a) The general slope-intercept form of writing the equation of a line is [tex]y-y_1=m(x-x_1)[/tex] where, [tex]m[/tex] is the slope of the line.

According to the question,

[tex](x_1,y_1)\rightarrow (3,6000)[/tex] and [tex](x_2,y_2)\rightarrow (4,5000)[/tex]

Evaluate the value of the slope as-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{5000-6000}{4-3}\\m=-1000[/tex]

Now, substitute the parameters in the equation [tex]y-y_1=m(x-x_1)[/tex]-

[tex]y-y_1=m(x-x_1)\\y-6000=-1000(x-3)\\y-6000=-1000x+3000\\y=-1000x+9000[/tex]

Hence, the equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) Substitute [tex]x=\$3.50[/tex] in the slope-intercept equation  [tex]y=-1000x+9000[/tex] to evaluate the daily sales of fun noodles as-

[tex]y=-1000x+9000\\y=-1000(3.50)+9000\\y=-3500+9000\\y=5500[/tex]

Hence, the daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

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Find all real numbers X such that 18x-9>9 or 2x-4>-10

Answers

So what we are going to do is the next thing:Consider 18x-9>9 1. add 9 to both sides 2. divide both sides by the coefficient of x (that is 18 in this case) Now Consider 2x-4>-10 1. Then add 4 to both sides 2. divide both sides by the coefficient of x (that is 2 in this case) The final solution would be x < 1 Hope this can fit what you are looking for

What you must do for this case is to solve both inequalities
 We have then:
 18x-9> 9
 We clear x:
 18x> 9 + 9
 x> 18/18
 x> 1
 2x-4> -10
 We clear x:
 2x> -10 + 4
 x> -6/2
 x> -3
 Therefore we have to
 For 2x> -10 + 4
 x belongs (-3, inf)
 For 18x> 9 + 9
 x belongs (1, inf)
The solution that is met for both inequalities is:x belongs (1, inf)

Ling lives 2 miles from school. It took him 15 minutes to bike from school to home. The first half of the distance he biked at a speed of 12 mph. What was his speed for the remaining distance? What was his average speed?

Answers

a) time = distance/speed
For the first half of the trip, the time used was
.. (1 mi)/(12 mi/h) = (1/12) h = 5 minutes
Then the last half of the trip took 10 minutes, 1/6 hour.
.. speed = distance/time
.. = (1 mi)/(1/6 h) = 6 mi/h

The speed for the last half of the trip was 6 mph.


b) The average speed was
.. (2 mi)/(1/4 h) = 8 mi/h

Ling's average speed was 8 mph.

Answer:

First Part: 6 mphSecond Part: 8 mph

You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?

Answers

Your total came to $7.97 for the bagels. Those are some expensive bagels

Answer:

You would pay $7.97 for your bagels!

Jatonia sold n cups of lemonade at her stand for $0.75 each. She made a total of $18.00. Write an expression to express how many cups of lemonade she sold.

Answers

Expression: 0.75n = 18

Hope this helps!

The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the perimeter to the nearest tenth of a foot and the area to the nearest square foot.

Answers

Final answer:

The perimeter and area of the fountain comprising two semicircles and a quarter circle can be calculated using principles of circle geometry, adding respective perimeter parts for the total perimeter and summing up the areas of each part for the total area. The perimeter calculation includes the semicircles' straight edges, while the area computation combines semicircle and quarter circle areas.

Explanation:

To calculate the perimeter and area of a fountain composed of two semicircles and a quarter circle, we first need to acknowledge that all parts of this shape are derived from circles. Therefore, understanding the properties of a circle is crucial. The formula for the perimeter (circumference) of a whole circle is 2πr, and the formula for the area is πr², where r is the radius of the circle.


To find the perimeter of the given shape, add the perimeters of the two semicircles and a quarter circle. Since the perimeter of a semicircle is πr and there are two, their combined perimeter is 2πr. The perimeter of a quarter circle is πr/2. Therefore, the total perimeter of the shape would be 2πr + πr/2. The straight edges that close the semicircles also contribute to the perimeter, which are diameters of the circles (ϐ2r for each semicircle), resulting in an additional 2r + 2r = 4r to the total perimeter.

For the area, sum the areas of two semicircles and a quarter circle. The area of a semicircle is πr²/2, so together, two semicircles have an area of πr². The area of a quarter circle is πr²/4. Thus, the total area of the shape is πr² + πr²/4 = 5πr²/4.

To find the exact values, you would substitute the specific radius (r) of the circles that constitute the fountain, and calculate using π ≈ 3.14. Make sure to round the perimeter to the nearest tenth of a foot and the area to the nearest square foot as instructed.

y=-2x+1
y=-2x-3
solve and graph

Answers

The lines are parallel. There is no solution.

Which expression is equivalent to 2.25 + 2.25x + 1 - 0.75x + 2x

Answers

2.25 + 2.25x + 1 - 0.75x + 2x = 3.5x + 3.25

write an inequality in slope intercept form for the graph below. if necessary use <= or >=

Answers

Consider this option:
1. the equation of given line is y=-x-3 (it is easy to find it using points (0;-3)&(-3;0)).
2. according to the equation of line: y≥-x-3

The correct options are:

1. The equation of a given line is y=-x-3 (it is easy to find it using points (0;-3)&(-3;0)).

2. According to the equation of a line: y≥-x-3

What is the inequality in slope-intercept form?

You may use the slope-intercept form to graph inequalities. The slope-intercept form is expressed as y = mx + b, where the variable m stands for the slope of the line, and b stands for the y-intercept (or in which the line crosses the y-axis).

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A square rug lies in the middle of a rectangular room. There are 7 feet of uncovered floor on 2 sides of the rug and 2 feet of uncovered floor on the other 2 sides. Find a polynomial expression for the area of the room in terms of x, the side length of the rug.

Answers

A = lw 


A=(x+10)(x+12) 


A=x²+22x+120

Polynomial expression of area of room in terms of x is A = x² + 9x + 14.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Area of rectangle(room) = Length × width

So,

A = (x + 7)(x + 2)

A = x² + 20x + 7x + 14

A = x² + 9x + 14

Hence "Polynomial expression of area of room in terms of x is A = x² + 9x + 14".

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Melissa estimated that she would read 250 Pages last week. she read 290 pages. What is the percent error of Melissa's estimate round to the nearest whole percent

Answers

estimate = 250
Actual = 290
Error = 290 - 250 = 40
Percentage error = 40/250 x 100 = 16% 

Answer:13.79

Step-by-step explanation: I put that answer and gt it wrong an dthe thing told me the answear was 13.79

What is the sum of the series?

Answers

the answer would be 90
the answer is 90 hope i have helped

Tom is going to build a fence around his garden which is a rectangle measuring 8 m by 20 m. He will first put in posts which will be 4 m apart. If the posts cost $5.50 each, what will be the total cost for all the posts?

Answers

$77. If one side is 20 then there are 5 posts that are 4m apart. And for 8 there are 2 posts that are 4m apart. The total amount of. Posts is 14. You then multiply 14 and 5.50 and get $77.
The first thing you should do for this case is to find the perimeter of the rectangle.
 We have then:
 P = 2L + 2W
 Where,
 L: long
 W: wide.
 Substituting the values:
 P = 2 * (20) + 2 * (8)
 P = 56 m
 Then, to find the number of posts we have:
 N = P / d
 where,
 P: perimeter
 d: distance between posts.
 Substituting:
 N = (56) / (4) = 14
 The total cost will be:
 (5.50) * (14) = $ 77
 Answer:
 the total cost for all the posts wil be 77 $

el area de un rectangulo de lados 0,0005m y 0,003m es

Answers

Area = length times width
= 0.0005m * 0.003m
= 0.0000015 m &sup2;
= 1.5 mm &sup2;

Suppose that with a budget of $100, Deborah spends $60 on sushi and $40 on bagels when sushi costs $2 per piece and bagels cost $2 per bagel. But then, the price of bagels falls to $1 per bagel.

b. At the new prices, how much money would it have cost Deborah to buy those same quantities (the ones that she consumed before the price change)?

c. Given that it used to take Deborah’s entire $100 to buy those quantities, how big is the income effect caused by the reduction in the price of bagels?

Answers

Answer:

Part A) The quantities are [tex]30\ piece\ of\ sushi[/tex] and [tex]20\ bagels[/tex]

Part B) [tex]\$80[/tex]

Part C) The income effect is a loss of [tex]\$20[/tex]

Step-by-step explanation:

Part A)

Let

x-----> the number of piece of sushi

y----> the original number of bagels

we know that

[tex]2x=60[/tex] ------> [tex]x=30\ piece\ of\ sushi[/tex]

[tex]2y=40[/tex] ------> [tex]y=20\ bagels[/tex]

Part B) At the new prices, how much money would it have cost Deborah to buy those same quantities (the ones that she consumed before the price change)?

Bagels

[tex]20(1)=\$20[/tex]

Sushi

[tex]30(2)=\$60[/tex] -----> is the same

The total cost is

[tex]\$20+\$60=\$80[/tex]

so

The same quantities would have cost [tex]\$80[/tex]

Part C) Given that it used to take Deborah’s entire $100 to buy those quantities, how big is the income effect caused by the reduction in the price of bagels?

Find the difference

[tex]\$100-\$80=\$20[/tex]

therefore

The income effect is a loss of [tex]\$20[/tex]

Find all the second partial derivatives. w = u9 + v7

Answers

Answer:

[tex]w_{uu} = 72u^{7}[/tex]

[tex]w_{uv} = w_{vu} = 0[/tex]

[tex]w_{vv} = 42v^{5}[/tex]

Step-by-step explanation:

We can have the second partial derivatives of w in relation to u, v and uv. So

[tex]w = u^{9} + v^{7}[/tex]

[tex]w_{u} = 9u^{8}[/tex]

[tex]w_{uu} = 72u^{7}[/tex]

[tex]w_{uv} = w_{vu} = 0[/tex]

[tex]w_{v} = 7v^{6}[/tex]

[tex]w_{vv} = 42v^{5}[/tex]

Final answer:

The second partial derivatives of w = u^9 + v^7 are w_uu = 72u^7, w_uv = 0, and w_vv = 42v^5.

Explanation:

To find all the second partial derivatives of w = u^9 + v^7, we need to differentiate twice with respect to each variable. Let's start:

First, find the first partial derivatives:
wu = 9u^8 (differentiating with respect to u)
wv = 7v^6 (differentiating with respect to v)

Now, take the second partial derivatives:
wuu = 72u^7 (differentiating wu with respect to u)
wuv = 0 (differentiating wu with respect to v)
wvv = 42v^5 (differentiating wv with respect to v)

So, the second partial derivatives of w = u^9 + v^7 are wuu = 72u^7, wuv = 0, and wvv = 42v^5.

Which interval is the solution set to 0.35x – 4.8 < 5.2 – 0.9x?

Answers

No intervals are showing, but here is how to solve this equation.

0.35x - 4.8 < 5.2 - 0.9x
Add 4.8 to both sides
0.35x < 10 - 0.9x
add 0.9x to both sides
1.25x < 10
divide both sides by 1.25
x < 8

Interval Notation:
If we graphed this on a number line, x goes toward negative infinity.

Answer: (-∞, 8)

Hope this helps! :)
Final answer:

The solution to the mathematical inequality equation 0.35x - 4.8 < 5.2 - 0.9x is the interval x < 8.

Explanation:

In order to find the solution to the equation 0.35x - 4.8 < 5.2 - 0.9x, you first need to rearrange the terms in the equation such that all terms involving x are on one side of the inequality and the other terms are on the other side. Starting with: 0.35x - 4.8 < 5.2 - 0.9x, if we add 0.9x to both sides we get 0.35x + 0.9x < 5.2 - 4.8, which simplifies to 1.25x < 10.

Next, to isolate 'x' we divide through by 1.25, which gives us: x < 10/1.25 which simplifies to x < 8. Therefore the answer to the equation 0.35x - 4.8 < 5.2 - 0.9x is the interval x < 8.

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Find the perimeter of a polygon with sides 11ft, 7ft, 18ft, 22ft, 14ft, and 23.5ft

Answers

u just need to add it up like this 11+7+18+22+14+23.5=95.5 ft

have a nice day(:
Hello!

Add all the sides together:

(Do it step by step, since adding all the sides at once can be a handful)

11 + 7 = 18

18 + 18 = 36

36 + 22 = 58

58 + 14 + 23.5 = 95.5

ANSWER:

The perimeter of the polygon is 95.5 feet long.

Explain what a polynomials is and identify the different parts of a polynomial.

Explain the different labels used to categorize polynomials

Explain how addition and subtraction of polynomials is accomplished

When multiplying polynomials, we are taking every term of one polynomial and multiplying them by every term of the second polynomial, then collecting like terms explain how foil helps us to accomplish this and what category of polynomials foil applies to.

There are tow special case products where the product takes on special patterns explain these two cases and when they occur.

For each of the two special cases, illustrate your explanation with an appropriate exercise from the ( a+b)2=a2+2ab+b2 )(a-b)2=a2-2ab+b2 ) showing how the multiplication is performed using the special pattern formula then also showing the same result using foil.

Answers

Question 1 
Polynomials are expressions that include constants and variables. We can use addition, subtraction, multiplication and we can use exponents but only with positive integers. In polynomials, you cannot use division by a variable. This means that you can't have terms like:
[tex]\frac{a}{x^n}[/tex]
Where a is constant, x is a variable and n is a positive integer.
Here is an example of a polynomial:
[tex]5x^3+3x^2+\frac{x}{2}+9[/tex]
x would be is a variable, please keep in mind that you can have polynomials with more than one variable. Numbers before variables are called constants.
Here are some example of constants:
[tex]2;2/3;\pi;\sqrt(2)[/tex]
And we also have exponents. Exponents are numbers written in the upper-right corner of a variable. These must be positive integers.
Question 2
We can name polynomials based on their degree and number of terms.
A degree is largest exponent. Examples:
[tex]x^3+2x+3; degree=3\\ x^2+2; degree=2\\ 21;degree=0[/tex]
You can have polynomial without variable.
Here is a chart showing you special names for polynomials based on their degree:
[tex]0\ constant\\ 1 \ linear\\ 2 \ quadratic\\ 3 \ cubic\\ 4 \ quartic\\ 5 \ quintic\\[/tex]
There are special names for polynomials with 1, 2, 3 terms. These are monomial, binomial, trinomial. For polynomials that have more than 3 terms, we simply say polynomial of n terms.
Question 3
When adding or subtracting polynomials we simply subtract/add like terms.
Like terms are those that have the same exponent. Here is an example:
[tex]4x^3+2x^2+x+5\\ x^4 -x^3+3x^2\\[/tex]
Let us add these two polynomials:
[tex]4x^3+2x^2+x+5\\ x^4 -x^3+3x^2\\ x^4+(4x^3-x^3)+(2x^2+3x^2)+x+5=x^4+3x^3+5x^2+x+5[/tex]
Question 4
Foil stands for First, Outer, Inner, Last.
Foil can be used only to multiply two binomials( polynomials that have 2 terms). 
Here is an example:
[tex](2x+3)(x-2)= (2x\cdot x) (First)+(2x\cdot (-2)) (Outer)+(3\cdot x)(Inner)\\ + (3\cdot (-2)) (Last);\\ (2x+3)(x-2)=2x^2-2x+3x-6=2x^2+x-6[/tex]
Question 5
First special case is square of a sum/difference. This happens when we want to multiply two identical polynomials. Example:
[tex](x+2)(x+2)\\ (x^2-x)(x^2-x)[/tex]
Second special case is a product of a sum and a difference. 
Here is an example:
[tex](x-2)(x+2)\\ (x^2-x)(x^2+x)[/tex]
Question 6
For these two special cases we can use following formulas:
[tex](a\pm b)^2=a^2 \pm2ab+b^2\\ (a+b)(a-b)=a^2-b^2[/tex]
Let me explain first formula:
[tex](x+3)^2=x^2+6x+9\ Using the formula\\ (x+3)(x+3)=x^2+3x+3x+9=x^2+6x+9;Using FOIL [/tex]
[tex](x-3)^2=x^2-6x+9\ Using the formula\\ (x-3)(x-3)=x^2-3x-3x+9=x^2-6x+9;Using FOIL[/tex]
Here is an example for second formula:
[tex](x-3)(x+3)=x^2-9=x^2-(3)^2; Using formula\\ (x-3)(x+3)=x^2+3x-3x-9=x^2-9=x^2-(3)^2[/tex]
You can see that we get the same result, so when you have these special cases you can use formulas as a schortcut.

Let $\mu$ and $\sigma^2$ denote the mean and variance of the random variable x. determine $e[(x-\mu)/\sigma]$ and $e{[((x-\mu)/\sigma)^2]}$

Answers

[tex]\mathbb E\left(\dfrac{X-\mu}{\sigma}\right)=\dfrac1\sigma\mathbb E(X)-\dfrac\mu\sigma=\dfrac{\mu-\mu}\sigma=0[/tex]

[tex]\mathbb E\bigg(\left(\dfrac{X-\mu}\sigma\right)^2\bigg)=\dfrac1{\sigma^2}\mathbb E\left(X^2-2\mu X+\mu^2\right)=\dfrac{\mathbb E(X^2)-2\mu\mathbb E(X)+\mu^2}{\sigma^2}[/tex]
[tex]=\dfrac{\mathbb E(X^2)-2\mu^2+\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mathbb E(X)^2}{\sigma^2}[/tex]
[tex]=\dfrac{\mathbb V(X)}{\sigma^2}=\dfrac{\sigma^2}{\sigma^2}=1[/tex]
Final answer:

The expectation of (x-µ)/ equals 0, as it's the standardized form of variable X having a mean of 0. The expectation of {[((x-µ)/)]^2} equals 1, as it's the variance of the standardized variable which is always 1.

Explanation:

The question pertains to the concepts of expected values, mean and variance in probability and statistics. When we have a random variable X with mean µ and variance ^2, we can determine the expected value of a transformed variable (x-µ)/ and its square (x-µ)/^2.

The expectation of (x-µ)/ is actually 0. This is because when you subtract the mean (µ) from the random variable and divide by the standard deviation (), you are standardizing the variable to have a mean of 0.

For the expectation of {[((x-µ)/)]^2}, we actually get 1. This is because the square of a standardized random variable, like (x-µ)/, is the variance of the standardized variable, which is always 1.

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Which of the following criteria are necessary conditions for making a statistical inference?

sample size greater than 30, or an approximately normal data set

sample size greater than 100

convenience sample

simple random sample

systematic sample

Answers

#1 & 4 are the correct answerss

Answer:

1 and 4 are correct

Step-by-step explanation:

How far does a horse on a Merry-go-round travel in one revolution if he is 6.5 feet from the center? (Use 3 for π)
A) 13 feet
B) 26 feet
C) 39 feet
D) 52 feet

Answers

Circumference of Circle = 2 π r 

2 · 3 · 6.5 =39

So it is C) 39 Feet

Answer:

41 FEET

Step-by-step explanation:

I JUST DID USATESTPREP

the basketball court in the park is rectangle two of the sides are 84 feet long and the other two sides are 50 ft long what is the perimeter of the basketball court

Answers

Hello!

So, we know that the length of the rectangular basketball court is 84 ft, and the width is 50 ft.

The formula for perimeter of a rectangle is:

P = 2l + 2w

This means that we need to multiply the length by two and the width by two as well.

Substitute:

P = 2(84) + 2(50)

P = 168 + 100

P = 268 ft

ANSWER:

The perimeter of the basketball court is 268 feet long.

Given this arithmetic sequence, find d. 3,_,_,15

Answers

[tex]a_1=3 \\ a_4=15 \\ \\ d= \frac{15-3}{4-1}= \frac{12}{3}=4 [/tex]

The answer is d=4

Melvin has 1/2 of a cake. He shares the cake equally with each of 2 friends and himself. Show me how u got your answer

Answers

the half of a cake has volume which can be divided by 3

Melvin and each of his 2 friends get [tex]\( \frac{1}{6} \)[/tex] of the cake each.

Sure! If Melvin has [tex]\( \frac{1}{2} \)[/tex] of a cake and he wants to share it equally with each of his 2 friends and himself, we need to find out how much each person gets.

First, we need to find out how many people are sharing the cake. Melvin himself plus his 2 friends make a total of 3 people.

Now, to divide [tex]\( \frac{1}{2} \)[/tex] of the cake equally among 3 people, we divide [tex]\( \frac{1}{2} \)[/tex] by 3:

[tex]\[ \frac{1/2}{3} = \frac{1}{2} \times \frac{1}{3} \][/tex]

To multiply fractions, we multiply the numerators together and the denominators together:

[tex]\[ = \frac{1 \times 1}{2 \times 3} \][/tex]

[tex]\[ = \frac{1}{6} \][/tex]

So, each person gets [tex]\( \frac{1}{6} \)[/tex] of the cake.

Therefore, Melvin and each of his 2 friends get [tex]\( \frac{1}{6} \)[/tex] of the cake each.

Which of the points listed is the same distance from the x-axis as the point (8, 3.25)?
A- (-8, 4.75) B- (7, -3.25) C- (3.25, 7) D- None of these are correct.

Answers

The distance of the point (8, 3.25) to the x-axis (the horizontal line) is 3.25.
incorrect - A.) is 4.75 away from the x-axis
This one is correct - B.) is 3.25 away from the x-axis
incorrect - C.) is 7 away from the x-axis
incorrect - D.) Actually one of the above answers it correct

Hope this helps

The points listed which has the same distance from the x axis as the point (8, 3.25) is B- (7, -3.25).

What are the Coordinates?

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given is a point in the XY plane with the coordinates (8, 3.25).

We have to find the point in the options which are at a same distance as the given point.

In order for two points to be at a same distance from the x axis, their y coordinates must be same with either same sign or of the opposite sign.

Here the point with the same y coordinate as the given point is B- (7, -3.25)

Hence option B is correct.

Learn more about Coordinates here :

https://brainly.com/question/2669795

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What is the value of the expression shown below?
7 + (10 − 4)2 ÷ 4 × 1 over 2 to the power of 3

A. 8
B. 8 and 1 over 6
C. 8 and 1 over 8
D. 79

Answers

Answer:
C. 8 and 1 over 8

Explanation:
7 + [tex] \frac{(10-4)^2}{4} [/tex] * [tex] (\frac{1}{2} )^3[/tex]

= 7 + [tex] \frac{(6)^2}{4} [/tex] * [tex]( \frac{1}{2} )^3[/tex]

= 7 + [tex] \frac{36}{4} [/tex] * [tex] \frac{1}{8} [/tex]

= 7 + 9 * [tex] \frac{1}{8} [/tex]

= 7 + [tex] \frac{9}{8} [/tex]

= 8.125

= 8 [tex] \frac{1}{8} [/tex]

Hope this helps :)
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