1. Jean spent $37.50 for 500 paperclips. How much did he pay for each paperclip?​

Answer:

5.25

Step-by-step explanation:

so our equation would be f(5)+k(4)=36 then since she buys 3 forks we would plug in 3 for f so we get 3(5)+4k=36 which can be simplified to 4k=21 which si 5.25

Answer:

Step-by-step explanation:

1a. 7000m                    1b. 10mm

2a. 1000cm                  2b. 2m

3a. 6km                        3b. 3km

4a. 2km                        4b. 9m

5a. 6cm                        5b. 7m

6a. 9cm                        6b. 9km

7a. 4km                        7b. 5km

8a. 8km                        8b. 30mm

9a. 70mm                     9b. 3m

10a. 2cm                       10b. 10cm

Answer:

1a:  7,000 m                                                     1b:  10 mm

2a:  1,000 km                                                  2b:  2 m

3a:  6 km                                                         3b:  3 km

4a:  2 km                                                         4b:  9 m

5a:  6 cm                                                         5b:  7 m

6a:  9 cm                                                         6b:  9 km

7a:  4 km                                                         7b:  5 km

8a:  8 km                                                         8b:  30 mm

9a:  70 mm                                                      9b:  3 m

10a:  2 cm                                                       10b: 10 cm

Hope I helped!

Answer:

12 > n+3

Step-by-step explanation:

Answer:

12-16x

Step-by-step explanation:

4(3-4x)

12-16x

The expression 4 (3 - 4x)​ is simplified as 12 - 16x.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

⇒ 4 (3 - 4x)​

Simplify the expression, then the expression will be

⇒ 4 (3 - 4x)​

⇒ 4 · 3 - 4 · 4x

⇒ 12 - 16x

The expression 4 (3 - 4x)​ is simplified as 12 - 16x.

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Answer:

The probability is 0.683

Step-by-step explanation:

To calculate this, we shall be needing to calculate the z-scores of both temperatures

mathematically;

z-score = (x-mean)/SD

From the question mean = 78 and SD = 5

For 73

z-score = (73-78)/5 = -5/5 = -1

For 83

z-score = (83-78)/5 = 5/5 = 1

So the probability we want to calculate is within the following range of z-scores;

P(-1 <z <1 )

Mathematically, this is same as ;

P(z<1) - P(z<-1)

Using the normal distribution table;

P(-1<z<1) = 0.68269 which is approximately 0.683

Answer:

Step-by-step explanation:

The expression for calculating the point that divides the coordinate of two endpoints A(x, y) and B (x₁, y₁) in the ratio a:b with point C(X, Y) on the line is as shown below;

[tex]B[/tex][tex](X, Y) =[/tex] [tex](\dfrac{ax_1+bx}{b+a}, \dfrac{ay_1+by}{b+a})[/tex]

Given B(X, Y) = (4, 1), C(x₁, y₁) = (12,5) and AB:BC = a:b = 3/4

From the given coordinates, X = 4, Y = 1, x₁ = 12 y₁ = 5, a = 3 and b =4

From the coordinates above;

[tex]X = \dfrac{ax_1+bx}{b+a}[/tex]

[tex]4 = \dfrac{3(12)+4x}{4+3}\\\\4 = \dfrac{36+4x}{7}\\\\\\4*7 = 36+4x\\28 = 36+4x\\28-36 = 4x\\-8 = 4x\\x = -8/4\\x= -2[/tex]

Similarly to get y;

[tex]1 = \dfrac{3(5)+4y}{4+3}\\\\1 = \dfrac{15+4y}{7}\\\\\\1*7 = 15+4y\\7 = 15+4y\\7-15 = 4y\\-8 = 4y\\y= -8/4\\y= -2[/tex]

Hence the value of x is -2 and y is -2.

Answer:

Option B.

Step-by-step explanation:

The given equations is

[tex]7.4x+4.1(2x-4)=-2.3(x-6)-21.6[/tex]

The correct steps to solve the above equation are

1. Using distributive property, we get

[tex]7.4x+8.2x-16.4=-2.3x+13.8-21.6[/tex]

2. Combining like terms, we get

[tex]15.6x-16.4=-2.3x-7.8[/tex]

3. Using addition property of equality, add 2.3x on both sides.

[tex]17.9x-16.4=-7.8[/tex]

4. Using addition property of equality, add 16.4 on both sides.

[tex]17.9x=8.6[/tex]

5. Using division property of equality, divide both sides by 17.9.

[tex]x\approx 0.48[/tex]

In step 2, the like terms were not combined properly on the right side of the equation.  

[tex]13.8-21.6=-7.8\neq 35.4[/tex]

Therefore, the correct option is B.

Answer:

The correct answer is b. In step 2, the like terms were not combined properly on the right side of the equation.

Answer:

the answer is c i did the test again and got it right

Step-by-step explanation:

He mixed up the numerator and the denominator of the fraction which is the correct answer would be an option (C)

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

On a coordinate plane, a line with a negative slope goes through points (0, 2) and (4, 0).

To determine the rate of change of the function,

He incorrectly selected the graph's point at (-1, 2.5).

Given that the graph passes through, Kelvin did not make this error (–1, 2.5)

He picked the wrong spot on the graph, (0, 2).

Given that the graph passes through, Kelvin did not make this error (0, 2)

We have that Kevin’s mistake is

He messed up the fraction's denominator and numerator.

He should have added -1 to 0 instead of subtracting it, which he did.

He cannot make a mistake here because the two are identical.

Hence, He mixed up the numerator and the denominator of the fraction which is the correct answer would be an option (C)

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Answer:

24 payments.

Step-by-step explanation:

$204 divided by $8.50 = 24

Answer:

12

Step-by-step explanation:

Since we have to find the distance, look at each point. The Y-values of both points are the same, so we don't have to take that into consideration. Then, take the absolute value of an X-value subtracted from another X-value. This will lead you to get 12. We never get a negative number, since distance is a scalar value, one that does not include direction, which means no negative values in numerical terms.

The distance between two points (7,-3)and (-5,-3) is 12.16 units.

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The distance between the points (7,-3)and (-5,-3)

x₁=7, y₁=-5,x₂=-5 and y₂=-3

Now plug in these values in the distance formula

Distance=√(-5-7)²+(-3+5)²

=√(-12)²+(2)²

=√144+4

=√148=12.16

Hence, the distance between two points (7,-3)and (-5,-3) is 12.16 units.

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Answer: -29

Step-by-step explanation: plug 7 in for w and 9 for c

7-4(9) = -29

Answer:

-64

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

Step-by-step explanation:

Hey, there!

See explanation in picture.

Hope it helps....

Complete question :

Mulder and Scully are driving to the same town. Mulder leaves the office at ​9:30 a.m. averaging 51 mph. Scully leaves at ​10:00 ​a.m., following the same path and averaging 57 mph. At what time will Scully catch up with​ Mulder?

Answer:

2:15 p.m

Step-by-step explanation:

Given the following :

Mulder :

Speed = 51mph

Time he left office = 9:30 a.m

Scully :

Speed = 57mph

Time she left office = 10:00 a.m

Time difference = (10:00 - 9:30)a.m = 30 minutes = half an hour = 0.5 hour

Let Scully's travel time when she catches up = s

Therefore, Mulder's time at the same moment = (s + 0.5)

Recall:

distance = speed × time

Hence,

Scully's distance : 57 * s = 57s

Mulder's distance : 51 * (s + 0.5)

Equating both :

57s = 51(s + 0.5)

57s = 51s + 25.5

57s - 51s = 25.5

6s = 25.5

s = 25.5 / 6

s = 4.25 hours

Hence scully will catch up with Mulder after 4.25 hours

10:00am + 4.25 hours = 2:15p.m

Answer:

Minimum of 8 days

Step-by-step explanation:

Let's assume the number of days is x

Then we need to compare daily pass vs season pass:

So, minimum 8 days is the answer

Answer:

Your answer would be the third set

Step-by-step explanation:

Answer:

7/12 belongs in the category 4

Answer:

A

Step-by-step explanation:

(3.6x - 1.9)4 = 28.4

3.6x -  1.9 = 7.1

3.6x = 7.1 + 1.9

3.6x = 9

x = 9 / 3.6

x = 2.5 (value of x)

3.6(2.5) - 1.9 = 7.1 (side length)

you want to multiply it by 4 because right now its only showing one side. perimeter is all 4 sides combined

Answer:

[tex] \infty [/tex]

Step-by-step explanation:

If you meant infinity, that is the answer, I think you should elaborate on the question

Answer:

So if he's paid £1500 and he's getting an increase of 3%, we only need to calculate the 3% of 1500 and then add it what he's paid now (£1500)

To calculate the x% of a number, we multiply the number by [tex]\frac{x}{100}[/tex]%.

So, if we want to calculate the 3%, we need to multiply by [tex]\frac{3}{100}[/tex]%, by 0.03:

1500 * 0.03 = £45

So now, we know he'll be paid £45 more than the last month, so we sum what he got before (£1500) plus those £45.

1500 + 45 = £1545

Answer:

There would be 11 gallons of gas left!

Step-by-step explanation:

Answer:

after 2 hours = 11

Step-by-step explanation

what do you mean by t?

Answer: -5

Step-by-step explanation:

Multilpy  [tex]\frac{1}{4}[/tex] x (-5 + 5 x (3)

Calculate [tex]\frac{1}{4}[/tex] x (-5 - 15)

-[tex]\frac{1}{4}[/tex] x 20

= -5

Answer:

-5

Step-by-step explanation:

1/4 ( -5 + 5(-3))

Using PEMDAS

Multiply inside the parentheses

1/4 ( -5 + -15)

Add inside the parentheses

1/4( -20)

Multiply

-5

Answer:

5191.2

Step-by-step explanation:

(4.2 x 103) x (1.3 x 10 - 1)

(432.6) x (13 - 1)

(432.6) x (12)

5191.2

Answer:

5191.2

Step-by-step explanation:

(4.2 x 103) x (1.3 x 10-1)

=432.6 ( 13 -1)

=432.6 x 12

=5191.2

Answer and Step-by-step explanation:

1-A= {all even integers} under multiplication?:

Sol: The set of positive integers under multiplication would not form because this set does not contain inverses. And no identity exists in this set. And in the case of negative even integers under multiplication, when we multiply a negative number to another negative number it becomes a positive even integer.

2-B= {all positive even integers} under averaging?:

The average of the integers from 1 to n is (n+1)/2.

Because there is only even numbers so, the formula has to doubled, this formula is used for sequences that increase by 1. So n(n+1)

There are only 1009 even integers between 2 to 2018.

2+2018=2020 and 2020/2=1010

3-C= {all odd integers} under addition:

Sol: the set of odd integers under addition does not form a set because the set of odd integers is not a closed set. Because addition of two odd numbers gives us an even number. And the other reason is that the identity element does not exist in this set. Identity for addition is zero (0) which is an even number.        

4-D= {all odd integers} under multiplication:

Sol: The set of odd integers say F is not a group under multiplication (.) because the inverse of odd integers does not exist. For example an element m is belonging to odd integer group say F. its inverse (1/m) does not exist in this set. Sometimes it does not have identity.

5- E= {all prime natural numbers) under addition:

Sol: All prime natural numbers are not set under addition because when we add two prime numbers we will not get always a prime number. For example 7+3= 10

7 and 3 are prime numbers but 10 is not a prime number.

6-F= {all composite integers} under addition:

Sol: no, not all composite number under addition form a set because when we add two composite number 15 + 14 = 29, 29 is a prime number.

7-G= {all composite integers} under multiplication:

Sol: yes all composite integers form a set under multiplication because when we multiply any integer to another integer it gives composite numbers. When we multiply prime numbers it gives a composite number.

Remember:

-When multiplying numbers with decimals just forget about the decimals for a second and pretend you are multiplying a 3 digit number times a 2 digit number.

-one digit at a time. Multiply going from right to left.

First:

-Multiply the 3 with the top numbers.

-Pretend you are seeing this:

5.72 (3)

- 2*3=6. 7*3=21. (carry the 2). 5*3 +2=17. (leave the 1).

Second:

-write below and move a digit to the left.

-pretend you are seeing this: 5.72(6).

- 2*6 =12. (carry the 1). 7*6 +1=43. (carry the 4) 5*6+4=34. (leave the 3).

Third: since in the problem the decimal is placed in the hundredths only once, place the decimal in the hundredths as your solution.

Your solution should be 360.36

Answer: 0.5 gallon

Step-by-step explanation:

From the question, we are informed that Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts.

It should be noted that 4 quarts equals 1 gallon. Therefore, 14 quarts = 14/4 = 3.5 gallons

Container A = 3 gallons

Container B = 3.5 gallons

The difference will be:

= 3.5 gallons - 3 gallons

= 0.5 gallon

Answer: 2 , b , (3-c)

Step-by-step explanation:

Given expression : 2b (3 – c)

We know that factors are the expression that gives the givrn or original expression by multiplying it to other expression.

Here , we can factorize the given expression as :

[tex]2\times b\times (3-c)[/tex]

So, the factors of [tex]2b (3 -c)[/tex]  is [tex]2 , b , (3-c)[/tex] as they are making the original expression together .