find the slop of the line passes thought point (9-8) and (2-1)

Step-by-step explanation:

Step 1:  Answer part a

He has 3.5 pounds of clay and each bowl is 0.5 pounds of clay.  Therefore, 3.5 / 0.5 will give us the amount of bowls he can make.  

3.5 / 0.5

7

Answer: He can make 7 bowls

Step 2:  Answer part b

I don't really understand what the questions asking about how much clay does he need to make with all of his clay.  If you explain what that means I can answer it.

If you meant how much mugs he is able to make → 14

If you meant how much clay he needs to have for each mug → 0.25

Answer & Explanation:

Part A

It gives us 2 numbers to determined how much bowls he can make.

He need 0.5 of clay to make 1 bowl and he has 3.5 pounds of clay.

\(3.5\) ÷ \(0.5\)

= \(7\)

He can make 7 bowls out of the 3.5 pounds of clay that he has.

Part B

This question is very confusing...

He can make 1 mug with 0.25 pounds of clay.

\(3.5\) ÷ \(0.25\)

= \(14\)

He can make 14 mugs if he uses all of his clay.

hope this helps

give brainliest if you please

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7

the area is simply the product of its width and length, so hmmm before doing so, let's change all the mixed fractions to improper fractions and then multiply.

\(\stackrel{mixed}{4\frac{1}{5}}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} ~\hfill \stackrel{mixed}{4\frac{2}{7}} \implies \cfrac{4\cdot 7+2}{7} \implies \stackrel{improper}{\cfrac{30}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{21}{5}\cdot \cfrac{30}{7}\implies \cfrac{21}{7}\cdot \cfrac{30}{5}\implies \cfrac{3}{1}\cdot \cfrac{6}{1}\implies \text{\LARGE 18}~in^2\)

The area of the rectangle is 18 \(inch^{2}\) and the perimeter is  \(16\frac{34}{35}\) inches.

We know that, Area of a rectangle = l * b

        and Perimeter of a rectangle = 2(l + b)

 Where, l = length of the rectangle

             b = breadth of the rectangle

According to the question, l = \(4\frac{1}{5}\) inch = \(\frac{21}{5}\) inch

                                             b = \(4\frac{2}{7}\) inch = \(\frac{30}{7}\) inch    

Area of the given rectangle = l* b

                                              =   \(\frac{21}{5}\) * \(\frac{30}{7}\)

                                              = 18 \(inch^{2}\)

The perimeter of the given rectangle = 2(l + b)

                                                              = 2( \(\frac{21}{5}\) + \(\frac{30}{7}\))

                                                              = 2 (\(\frac{297}{35}\))

                                                              = \(\frac{594}{35}\)

                                                              = \(16\frac{34}{35}\) inch

Hence, the area of the rectangle = 18 \(inch^{2}\)

and the perimeter =  \(16\frac{34}{35}\) inch

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Answer:

150

Step-by-step explanation:

30 + 30 + 45 + 45 = 150

Answer:

128 chocolate cupcakes

Step-by-step explanation:

68% of 400 is 272

400-272=128

Answer:

128 cupcakes are chocolate

Step-by-step explanation:

100 percent - 68 percent is 32 percent

32 percent of 400 is 128

Answer:

Obtuse angle

Step-by-step explanation:

Your angle equals 180, so it would be a Obtuse angle

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

2,78,10,7

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information;

since;

1 feet = 12 inches long

Then, 4 feet = (4 × 12)inches long

= 48 inches long

Thus, the length of the remaining piece is calculated as follows:

Length of remaining piece = Total length of piece - (piece that was being cut + width )

\(= 48 - (14 \dfrac{1}{4}+ \dfrac{1}{8})\)

\(= 48 - ( \dfrac{57}{4}+ \dfrac{1}{8})\)

\(= 48 - ( \dfrac{114+1}{8})\)

\(= 48 - ( \dfrac{115}{8})\)

\(= \dfrac{269}{8}\) inches

In order to draw a column graph with the given information, we can write the names for the spare parts on the horizontal axis, and then draw a vertical bar with a height proportional to the mean cost.

One example of a column graph representing the given information is shown below:

Answer:

by 3% percent

Step-by-step explanation:

i hope this helps ._.

So in January he could do 12 pushups..
4 months later, he could do 3 more..
A total of 15 in 4 months would make a 25% increase with 6.25% every month as 3 pushups represent 1/4 of the 12 he used to do

Answer:

c

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

Answer:

1)quotient, 2)sum, 3)difference, 4)product

Step-by-step explanation:

A quotient is always the answer to a division problem.

A product is always the answer to a multiplication problem.

A difference is always the answer to a subtraction problem.

A sum is always the answer to a addition problem.

Answer:

mm dont mind me

Step-by-step explanation:

Answer:

\( x = - 1\)

\(x + 1 = 0\)

\( {(x + 1)}^{2} = {x}^{2} + 2x + 1 = 0\)

So m = 2 and n = 1, meaning m + n = 3.

Answer: $15219.20

Step-by-step explanation:

Based on the information given, firstly we need to calculate the discount which will be:

= 18% × $18560

= 0.18 × $18560

= $3340.80

Then, the amount that Dao will pay will be:

= Sticker price - Discount

= $18560 - $3340.80

= $15219.20

Therefore, Dao will pay $15219.20

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

YASSSSSSSS its c hope this helps

-  Isabella<3

Step-by-step explanation:

x + 3y = -5 (eq. 1)

5x - 2y = 9 (eq. 2)

We can isolate x from equation 1, as follows:

x = -5 - 3y (eq. 3)

and then replace it into equation 2:

5*(-5 - 3y) - 2y = 9

applying distributive property:

5*(-5) - 5*3y - 2y = 9

-25 - 15y - 2y = 9

-25 - 17y = 9

Solving for y:

-17y = 9 +25

y = 34/(-17)

y = -2

Replacing into equation 3:

x = -5 - 3(-2)

x = -5 + 6

x = 1

Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

Answer:

X = 10

Z = 67

Step-by-step explanation:

We see that the angles are formed by the intersection of two lines.

Angles z and  67° are vertically opposite angles and therefore they are equal to each other

z°= 67°

Angles z and (7x + 43) are supplementary angles. The sum of these angles add up to 180°

z + 7x + 43 = 180

67 + 7x + 43 = 180

7x + 110 = 180

7x = 180 -110 = 70

x = 70/7 = 10

The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Answer:

Step-by-step explanation:

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 9000\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}\)

\(9000 = P\left(1+\frac{0.04}{4}\right)^{4\cdot 4} \implies 9000=P(1.01)^{16} \\\\\\ \cfrac{9000}{(1.01)^{16}}=P\implies \boxed{7675.39\approx P}\)

Answer:

290

Step-by-step explanation:

(11*8)*2=176, (11*3)*2=66, (3*8)*2=48, 48+176+66= 290

The simplest form of the equation \(\frac{3(2x-4)-5(x+3)}{3}\) is \(\frac{x-27}{3}\).

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

The expression is given as

= \(\frac{3(2x-4)-5(x+3)}{3}\)

= \(\frac{6x-12-5x-15}{3}\)

= \(\frac{x-27}{3}\)

Therefore,the simplest from the given equation is \(\frac{x-27}{3}\).

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The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

Answer:

The correct answer is B.

\(f(x) = \frac{1}{(x - 1)(x + 1)} \)

The vertical asymptotes are at x = -1 and at x = 1.

Answer:

15

Step-by-step explanation:

Answer:

\(4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30\)