sweet t has 1,258 staples that he will use to create art canvases. Each canvas requires 24 staples. How many canvases can he make AND how many staples will he have remaining

Answer:

Final answer is [tex]S_n=565.5[/tex].

Step-by-step explanation:

Given that [tex]a_1=12[/tex], [tex]a_n=75[/tex], and [tex]n=13[/tex].

Using those values, we need to find the value of [tex]S_n[/tex].

Plug these values into sum formula :

[tex]S_n=\frac{n}{2}\left(a_1+a_n\right)[/tex]

[tex]S_n=\frac{13}{2}\left(12+75\right)[/tex]

[tex]S_n=\frac{13}{2}\left(87\right)[/tex]

[tex]S_n=\frac{1}{2}\left(1131\right)[/tex]

[tex]S_n=565.5[/tex]

Hence final answer is [tex]S_n=565.5[/tex].

Equation of Area of Triangle = 1/2 x b x h

Find the base by counting the boxes across the bottom.

Find the height by counting the boxes from the base (bottom) to highest point on the triangle.

Insert those numbers into the equation and you get your answer.

To find the area of a triangle on a coordinate plane, you can use the formula: Area = 1/2 * base * height. The base can be any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. We can calculate the lengths of the base and height by using the coordinates of the triangle's vertices.

To find the area of a triangle on a coordinate plane, we can use the formula: Area = 1/2 * base * height. The base can be any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. We can calculate the lengths of the base and height by using the coordinates of the triangle's vertices.

For example, if the coordinates of the vertices are (x1, y1), (x2, y2), and (x3, y3), we can find the length of the base by calculating the distance between (x1, y1) and (x2, y2). Then, we can find the height by calculating the distance between (x3, y3) and the line containing the base. Finally, we substitute the values of the base and height into the formula to find the area.

Suppose the coordinates of the triangle are (1, 2), (4, 6), and (7, 2). We can find the base and height as follows:

Now, substitute the values into the formula: Area = 1/2 * base * height = 1/2 * 5 * 2 = 5 units^2. Therefore, the area of the triangle is 5 square units.

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Answer:

5, 7, 9, 11

Step-by-step explanation:

Solve the inequality

w - 4 < 8 ( add 4 to both sides )

w < 12

w ∈ { 5, 7, 9, 11 }

See photo

Perimeter = 525.66 ft

Area = 10913.27 ft2

[tex]\text{Hey there!}[/tex]

[tex](\frac{p}{q})^3[/tex]

[tex](\frac{p}{q})^3=\frac{p}{q}\times\frac{p}{q}\times\frac{p}{q}[/tex]

[tex]\text{Numerator: p}\times\text{p}\times\text{p}[/tex]

[tex]\text{Denomintor: q}\times\text{q}\times\text{q}[/tex]

[tex]\frac{p\times p\times p}{q\times q\times q}[/tex]

[tex]p\times p \times p=p^3[/tex]

[tex]q\times q \times q=q^3[/tex]

[tex]\boxed{\boxed{\bf{Answer:\frac{p^3}{q^3}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

enlarge the picture 7 times by inches

To enlarge Tonya's picture by a factor of 7, the length of 4 1/5 inches is multiplied by 7 to get an enlarged length of 29 2/5 inches.

Tonya has a small picture with a length of 4 1/5 inches. To enlarge the picture by a factor of 7, we need to multiply the original length by 7. First, we convert 4 1/5 inches to an improper fraction: 4 1/5 = (4 * 5 + 1)/5 = 21/5. Next, we multiply by 7: (21/5) * 7 = 21 * 7 / 5 = 147/5 inches. To convert it to a mixed number, we divide 147 by 5 which equals 29 with a remainder of 2, leading to a mixed number of 29 2/5 inches. Thus, the enlarged picture has a length of 29 2/5 inches.

Answer:

the correct option is C i.e. [tex]8x^4yz^4\sqrt{2yz}[/tex]

Step-by-step explanation:

We need to solve the expression :

[tex]\sqrt{128x^8y^3z^9}[/tex]

Factors of 128 are: 2x2x2x2x2x2x2

and we know √ = 1/2

and √a.b = √a.√b

Solving:

[tex]=\sqrt{128x^8y^3z^9}\\\\=\sqrt{128} \sqrt{x^8} \sqrt{y^3} \sqrt{z^9}\\=\sqrt{2x2x2x2x2x2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=\sqrt{2^2x2^2x2^2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=(2^2)^{1/2} (2^2)^{1/2}(2^2)^{1/2} (2)^{1/2} (x^8)^{1/2} (y^2)^{1/2} (y)^{1/2} (z^8)^{1/2} z^{1/2}\\=2.2.2.(2)^{1/2}x^4y(y)^{1/2}z^4(z)^{1/2}\\=8x^4yz^4\sqrt{2yz}[/tex]

So, the correct option is C i.e. [tex]8x^4yz^4\sqrt{2yz}[/tex]

Answer:

Surface Area= 144

Step-by-step explanation:

To find the area of the triangle you would multiply the base times the height and divide it by 2. 9x6/2=27. For one triangle the area is 27. Since there are 4 you would multiply it by 4. 27x4= 108. This will give you 108. Now all you need to do is add the square which is 6x6= 36. 108+36=144.

When you say Percent, you really mean per 100. So percentage is the result you get when multiplying a quantity by a percent. To find 80% of 20, we can use the following expression:

[tex]20\times \frac{80}{100}=16[/tex]

That is the product of 80 and 20 divided by 100, which is 16.

Answer:

The correct answer is

80% of 20 = 16

Step-by-step explanation:

points to remember

x% of y is given by

(x/100) * y

To find 80% of 20

Let 'x' be the 80% of 20 then we can write,

x = (80/100) * 20

x = (8/10) * 20

 = 8 * 2 = 16

Therefore 80% of 20 is 16

The correct answer is 16

Answer:

The graph is symmetric. The mean and median are about equal in a symmetric graph. The median is shown as 109, so the mean is approximately 109.

Step-by-step explanation:

The graph is symmetric.

Because the graph is symmetric, the mean and median should be approximately equal.

According to the graph, the median is 109. Therefore, the mean is approximately 109.

Answer:

The graph above can be described as a symmetric graph.

The mean and median of the graph are nearly equivalent, creating symmetry.

Additionally:

The answer to the question after this is the 3rd option, "the average salary increased the same amount each year."

The second portion of the next question is the 2nd option, "The vertical axis does not begin at zero."

Answer:

A,C,E

Step-by-step explanation:

x+4          6

------- ÷ ---------

3             x

Copy dot flip

x+4          x

------- * ---------  (A)

3             6

Reversing the order

x          x+4

------- * ---------  (C)

6             3

x(x+4)

------------

18

x^2+4x

--------------(E)

18

Answer:

D) no solution

Step-by-step explanation:

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

x cannot equal 2 or -2 since that would make our fractions equal 1/0 or be undefined

Factor the term on the right

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

Multiply both sides by (x-2) (x+2)

(x-2) (x+2) (1/ (x-2) + 1/(x+2)) = 4/(x-2)(x+2)*(x-2) (x+2)

Distribute

x+2 + (x-2) = 4

Combine like terms

2x = 4

Divide by 2

2x/2 = 4/2

x =2

But this is not a possible solution since that is not in the domain

Answer: upper quartile - 163

Lower quartile - 184

Step-by-step explanation:

97,163,169,175,184,199

[97,163,169] [175,184,199]

Upper. Lower.

163. 184.

Answer: 102

Step-by-step explanation: get the largest and smallest number which is 199 and 97 then subtract then 199-97 which you get 102 :D

3/1 is the slope of the line

Answer:

the slope of y = 3 is 0

Step-by-step explanation:

we can use the acronym VUX/HOY to remind us about the properties of a certain line

Vertical line

Undefined slope

X axis

VUX means that a line passing x = b will have an undefined slope and will be a vertical line

Horizontal line

0 slope

Y axis

HOY means that a line passing through y = b will have a slope of 0 and will be a vertical line

Answer:

Step-by-step explanation:

[tex]\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{-9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-9-(-9)}{14-8}\implies \cfrac{-9+9}{6}\implies \cfrac{0}{6}\implies 0[/tex]

for b it should be 9 serving can be made

and for c it should be 1.5 Cups of orange juice

Answer:

First of all a is wrong bc you would have 148 cups of Punch you only need 108 so that will make it

B.

c.for every 4.5 cup you have 4.5 cup of OJ

Step-by-step explanation:

fix it and i can help cheif

Answer:

d.) $20

Step-by-step explanation:

Answer:  Option 'b' is correct.

Step-by-step explanation:

Since we have given the figure showing store's supply demand graph for lawn chairs.

Profit made by selling lawn chairs by the store = $800

Using the graph , we conclude that

Demand curve and supply curve intersect at (25,40)

Here, y- axis denotes the price of commodity.

x - axis denotes the quantity of commodity.

So, the possible valid price for them would be $ 40.

Hence, Option 'b' is correct.

Answer:

2.150 = 2.15

2 +15/10 > 2.15

2 + 0.015 < 2.15

215/100 = 2.15

Step-by-step explanation:

2.150 = 2.15, because 2.15 can be rewritten as 2.150.

2 +15/10=2+1.5=3.5

2 +15/10 > 2.15

3.5 > 2.15

2 + 0.015 < 2.15

2.015 < 2.15

215/100 = 2.15

2.15 = 2.15

Answer:

1 =

2 >

3 i no sured but is <

4 =

Step-by-step explanation:

Answer:

The 95% confidence interval for the mean score is:

[tex]\mu[/tex] ∈ [tex](67.73,\ \ 84.67)[/tex]

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is [tex]{\displaystyle {\overline {x}}}[/tex]

Since the sample size is [tex]27 <30[/tex] then we use the  statistic  [tex]t_{\frac{\alpha}{2}}[/tex]  with [tex]27-1 = 26[/tex] degrees of freedom

The confidence interval for the mean is:

[tex]({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})[/tex]

Where

[tex]{\displaystyle {\overline {x}}}=76.2[/tex] is the average score of the sample

[tex]S=21.4[/tex] is the standard deviation of the sample

[tex]n= 27[/tex] is the sample size

[tex]t_{\frac{\alpha}{2}} = 2.056[/tex] for a confidence level of 95% and 26 degrees of freedom

Then confidence interval is

[tex](76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})[/tex]

[tex](76.2 + 8.467,\ \ 76.2 - 8.467)[/tex]

[tex]\mu[/tex] ∈ [tex](67.73,\ \ 84.67)[/tex]

The 95% confidence interval for the mean score of attitudes towards public transportation is (68.13, 84.27), calculated using the formula for a confidence interval.

In this scenario, we would use the formula for a 95% confidence interval, which is the sample mean ± (1.96 * (standard deviation / √n)). In this case, n is 27 (the sample size), the sample mean is 76.2, and the standard deviation is 21.4.

Firstly, calculate the standard error by dividing the standard deviation by the square root of n:

SE = 21.4 / √27 ≈ 4.12

Then multiply the standard error by 1.96:

1.96 * SE ≈ 1.96 * 4.12 ≈ 8.07

Finally, add and subtract this value from the sample mean to get the confidence interval:

76.2 ± 8.07 gives an interval of (68.13, 84.27).

So, we can be 95% confident that the true population mean of attitudes towards public transportation lies between 68.13 and 84.27.

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Answer:

[tex]x_{3}[/tex]=2

The first term is [tex]\frac{1}{2}[/tex]

Answer:

The answers of the proof are the following:

2. Multiplication Property of Equality

3. x-2 = 8

4. Addition Property of Equality

5. x=10, Simplifying

Answer:

[tex]\boxed{\text{18 blocks}}[/tex]

Step-by-step explanation:

Distance travelled on graph = AB + BC + CD + DA  

AB = CD  = (3 +2) = 5

BC = AD = 2 –(-2) = 4

Distance on graph = 2 × 5 + 2 × 4 = 10 + 8 = 18 spaces = 18 blocks

Bridgette jogs [tex]\boxed{\textbf{18 blocks}}[/tex]each day.

Answer:

the answer is the (1.645 over root of n) on e 2020

Step-by-step explanation:

Answer:The answer is  D

Step-by-step explanation: Hope this helps

Answer:

5/10

Step-by-step explanation:

The cube root of 125 is 5 and the cube root of 1000 is 10.

Final answer:

The cube root of 125/1000 simplifies to 5/10 or 0.5. This is determined by taking the cube root of both the numerator and the denominator separately, or by understanding properties of exponents and simplification of fractions.

Explanation:

To evaluate the cube root of 125/1000, we can simplify this expression by looking for cube roots of the numerator and the denominator separately. The cube root of 125 is 5 because 5³ equals 125. Similarly, the cube root of 1000 is 10 because 10³ equals 1000. Therefore, the cube root of 125/1000 is 5/10, which simplifies to 1/2 or 0.5.

Another way to approach this is by using the fact that 125 is a “125–like” number, which helps us recognize that 125 is one eighth of 1000, as 1000 multiplied by the reciprocal of 8 (which is 1/8) is 125. This intuitive understanding confirms that the cube root of 125/1000 simplifies to a small number like 0.5.

A credit report is a detailed listing of your credit history.

Answer: b

A credit report is defined as; B: A credit report is a detailed listing of your credit history

A credit report is defined as a report that shows the financial credit history of an individual.

Now, the credit report shows the credit point which may be an excellent or poor credit score. Thus, when a person has a high credit score report, such a person is eligible for higher loans from the market but if such a person has a low credit score report, such a person cannot be eligible for hgher loans from the market.

Thus, we can conclude that A credit report is a detailed listing of your credit history.

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Answer:

AB = 17.3 cm

Step-by-step explanation:

We require to find the measure of ∠A then use the cosine ratio to calculate AB

sum the parts of the ratio 3 + 2 = 5 parts, then

90° ÷ 5 = 18° ← value of 1 part of ratio

∠A = 2 × 18° = 36°, thus

cos36° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{AB}[/tex]

Multiply both sides by AB

AB × cos36° = 14 ( divide both sides by cos36° )

AB = [tex]\frac{14}{cos36}[/tex] ≈ 17.3 cm

Answer:

Center a processes it faster

Step-by-step explanation:

Center B math: 2 tons as pounds is 4000 pounds.

4000/7=571.43 pounds a day

571.43/24=23.81 pounds a hour

23.81 pounds per hour is less than 100 pounds an hour. so center a is the faster one.

Answer:

Center A process aluminium faster

Because

Center A process 8.4 Tons of aluminium per week while center B processes 2 tons per week

Step-by-step explanation:

Topic: Unit Conversion

Given

Center A Rate of Processing Aluminium

A = 100 pounds per hour

Center B Rate of Processing Aluminium

B = 2 tons per week

To solve this question, the following assumptions will be made

Having said that, the first step is to make conversions.

We either convert pounds to tons or tons to pounds.

Converting Center A Rate of Processing Aluminium from Pounds to Tons

1 Pound = 0.0005 Tons

So, 100 Pounds = 0.0005 * 100

100 Pounds = 0.05 Tons.

So, Center A Rate of Processing Aluminium is 0.05 Tons per hour

Before we make comparison, both must be in the same unit.

i.e. either in Tons per hour or Tons per units.

Converting Center A Rate of Processing Aluminium from Tons per hour to Tons per week

There are 24 hours a day;

So, Center A Rate of Processing Aluminium is 0.05 Tons/hr* 24 hr/day

Converting Center A Rate of Processing Aluminium is 1.2 Tons / day

There are 7 days a week;

So, Center A Rate of Processing Aluminium is 1.2 Tons/ day * 7 days / week

Converting Center A Rate of Processing Aluminium is 8.4 Tons / week

At this point, we have the following

Center A Rate of Processing Aluminium = 8.4 Tons / week

Center B Rate of Processing Aluminium = 2 tons per week

By Comparison,

8.4 Tons per week is greater than 2 tons per week; So, Center A process aluminium faster

Answer:

2.8 ·  10^(-9)

Step-by-step explanation:

I'd suggest you do this problem through two separate multiplications:

First, 0.4·0.7 = 0.28, or 2.8 · 10^(-1)

Second, 10^(-6) · 10^(-2) = 10^(-8), and so the final result is

2.8 · 10^(-1) · 10(-8)  =  2.8 ·  10^(-9)

Please note:  negative exponents (such as -9, above) should be enclosed in parentheses for added clarity.

Answer: 8 hours

Step-by-step explanation: If a frog can jump 1/4 fourth a mile every hour then it will take 4 hours to complete a mile. But because we are talking a bout 2 miles, you have to double the time. Therefore, the answer is 8 hours

It would be one hour every quarter of the mile so count the hours by the amount of numbers there are in one mile so it would be 8 hours