Factor the expression using the GCF 6y + 3​

Answer:

Step-by-step explanation:

Fuel cost = (Distance / Consumption) × Cost per gallon.

107 X  4.83 = 516.81

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Answer:

The distance between (-6, 4) and (-8, 6) is 4 units.

Step-by-step explanation:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\AB = \sqrt{(-8+6)^2+(6-4)^2}\\AB = \sqrt{(-2)^2+(2)^2}\\AB = \sqrt{16}\\AB = 4[/tex]

Just apply the distance formula, quite simple.

Answer:

x<-5.5   or x<-11/2

Step-by-step explanation:

2(4x+1)<3(2x-3)

1. First we need to expand the brackets

8x+2<6x-9

2. get the x on one side so we would -6x and -2 on each side

2x<-11

3. divide by 2 on each side as we want to get the value of x which gives

x<-11/2

the fraction can also be written as a decimal

x<-5.5

4) so, the final answer is

x<-5.5 or <-11/2

the more compact hospital. The Law of Large Numbers, which makes intuitive sense, states that when there are more observations, the experimental average tends to approach the true proportion. Large hospitals have more observations, therefore their results are less likely to deviate from 50% or have a wide range of results.

An equation that states that two ratios are equal is a genuine proportion. You can utilise information about one ratio in a proportion to determine values in the other equal ratio.

The sample proportion, p′ = 0.842, which is the point estimate of the population proportion, must be determined in order to calculate the confidence interval. Given that CL = 0.95 is the requested confidence level, = 1 - CL = 1 - 0.95 = 0.05 ( 2) ( 2) follows..

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The stem-and-leaf diagram is:

Stem   Leaf

0          9

1           0,  5, 5, 8      

2          1, 4, 8      

3             0, 3, 5, 6, 6      

4             2, 3, 4, 5, 5, 6, 7, 7, 8    

5               1, 4, 5, 6, 8, 8, 8, 8, 9, 9, 9, 9,9,9      

The mode is 59

The range is 50

The median is 45.50

The interquartile range is 6.5.

A stem-and-leaf plot is a table that is used to display numerical data.  A  stem-and-leaf plot has two column, one for the stem and the other for the leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 59, 5 would be the stem and 9 would be the leaf.

Mode is the number that occurs most frequently in a dataset. The mode is 59 because it appears 6 times in the dataset.

Range is the difference between the highest number and the lowest number

Range = 59 - 9 = 50

Median is the number at the center of the dataset.

Median = (n + 1) / 2

37 / 2 = 18.5th term = (45 + 46) / 2 = 45.5

The interquartile range is the difference between the third quartile and the first quartile.

Third quartile = 3/4(n + 1)

3 / 4 x 37 = 27.75 term = 58

First quartile = 1/4 x (n + 1)

1/4 x 37 = 9.25term = (50 + 53) / 2 = 51.5

Interquartile range = 58 - 51.5 = 6.5

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Answer:

9.043

Step-by-step explanation:

i just divide

Answer: 9.043 centimeters/grams

Step-by-step explanation:

All you have to do it divide!

3x + 4y = 25 is an example of a line that is parallel to the supplied line.

Equations are mathematical expressions that have two algebraic expression on either side of an equals (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left hand side = right hand side) is a fundamental mathematical formula. For an unknown quantity represented by an unknown variable, equations can be solved to determine its value. It is clear that a statement is not an equation if there is no "equal to" sign in it. The phrase will be regarded as an expression.

Given that : line that is parallel to the line 3x + 4y = 32 and contains

the point (7,1).

3x + 4y = 32 is the equation for given line

This type of line is called a slope intercept. The line has a slope of m=[tex]\frac{-3}{4}[/tex].

The slope of parallel lines is equal. As a result, all lines with slope m=[tex]\frac{-3}{4}[/tex].will be perpendicular to one another.

3x + 4y = 25 is an example of a line that is parallel to the supplied line.

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The side x of the rectangle is 36.0 cm

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

All four angles of a rectangle are right angles.

The diagonal of a rectangle are equal in length to each other and they bisect each other at there point of intersection.

Therefore,

∠ COD = 48°

∠OCD = ∠ODC = 132 / 2 = 66°

Using sin law

OD / sin 66  = 16 / sin 48

OD sin 48 = 16 sin 66

OD =  16 sin 66 / sin 48

OD = 14.6167273223 / 0.74314482547

OD = 19.6687105931

OD = 19.7 cm

∠AOD = 180 - 48

∠AOD = 132°

∠OAD = ∠ODA = 48 / 2 = 24°

Hence, using sine law let's find x

19.7 / sin 24 = x / sin 132

x sin 24 = 19.7 sin 132

x = 19.7 sin 132 / sin 24

x = 14.6399530619 / 0.40673664307

x = 35.9935605802

Therefore,

x = 36.0 cm

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Answer: 11

Step-by-step explanation:

The sum of the angles of a triangle is 180. So, 3x + 8 + 4x + 11 + 84 = 180

7x = 180 - 8 - 11 - 84

7x = 77

x = 11

The combination of number tiles resulting in -1 will be -4 + 3 and 2 - 3.

From the information, Huyen has round tiles and she must combine the positive and negative signs on the tiles to obtain a result equivalent to -1.

It should be noted that sone of the examples of the numbers that will give a value of -1 include:

= -4 + 3

= -1

= 2 - 3.

= -1

Note that an overview was given since you don't given enough information as options.

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Answer:

12 hours

Step-by-step explanation:

look it up

Answer:

y=-2/5x +13/5

Step-by-step explanation:

y= -0.4x+b

3=0.4+b

b=2.6

y=-2/5x +13/5

Answer:  [tex]\text{y} = -\frac{2}{5}\text{x}+\frac{13}{5}[/tex]

===============================================

Work Shown:

I'll be using point slope form to get these steps

[tex]\text{y}-\text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y}-3 = -\frac{2}{5}(\text{x}-(-1))\\\\\text{y}-3 = -\frac{2}{5}(\text{x}+1)\\\\\text{y}-3 = -\frac{2}{5}\text{x}-\frac{2}{5}*1\\\\\text{y}-3 = -\frac{2}{5}\text{x}-\frac{2}{5}\\\\[/tex]

[tex]\text{y} = -\frac{2}{5}\text{x}-\frac{2}{5}+3\\\\\text{y} = -\frac{2}{5}\text{x}-\frac{2}{5}+\frac{15}{5}\\\\\text{y} = -\frac{2}{5}\text{x}+\frac{-2+15}{5}\\\\\text{y} = -\frac{2}{5}\text{x}+\frac{13}{5}\\\\[/tex]

This answer has a slope of -2/5 and y intercept of 13/5.

Parallel lines have equal slopes but different y intercepts.

To verify this equation, plugging in x = -1 leads to y = 3.

Since the population increases at a rate proportional to the current number of people, the population will be three times of its initial population after 14.27 years.

The population of a community increases at a rate proportional to the number of people present at time t, means:

dP/dt = kP

where k is a constant.

Rearrange it:

(1/P) dP = k dt

Take the integral:

∫ (1/P) dP = ∫ k dt

ln P = kt + C, where C is a constant

Substitute t = 0, from the problem, it is known that P(t = 0) = P₀

Hence,

P(t) = P₀. e^(kt)

The population doubles after 9 years, means if we substitute t = 9

P(9) = P₀. e^(9k)

2P₀ = P₀. e^(9k)

2 = e^(9k)

Take the natural logarithmic:

ln 2 = 9k

k = (ln 2)/9 = 0.077

When the population grows to triple, it means P(t) = 3P₀

3P₀ = P₀. e^(kt)

ln 3 = kt

ln 3 = 0.077 t

t = (ln 3)/0.077 = 14.27 years.

Hence, the population will be three times of its initial population after 14.27 years.

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a) 7 video games;

26 - x = 40 - 3x

x = 7

Usual selling price of a pair of shoes is $68 with discount 40% and sales tax 6% then total price of shoes including tax is equal to $43.248.

As given in the question,

Given that:

Usual selling price of shoes = $68

Discount on shoes =40%

Discounts an amount or percentage from something that they are selling, they take the amount or percentage off the usual price.

so, remove 40% from the price and you have left 60%

reduced price = 60% of $68

                         =60/100 * 68 = $40.8

Sales tax is 6% of reduced price= 6% of $40.8

                                           =$2.448 upto 3 decimal digits

Now , price including tax =$40.8+$2.448 =$43.248

Hence, total price including tax= $43.248

Therefore, usual selling price of a pair of shoes is $68 with discount 40% and sales tax 6% then total price of shoes including tax is equal to $43.248.

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Answer:

2

Step-by-step explanation:

substitute s for 8

then substitute f for 2

that means 2*2 or 4

8/4 is 2

Answer: the answer would be 2

Step-by-step explanation: since f =  2 you would multiple 2 x2 then you would get 4 then you divid 8 and 4 and you get 2

Answer:

-7

Step-by-step explanation:

2(-9)+5=-7

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

[tex]\mathsf{xy + 5}\\\mathsf{= 2(-6) + 5}\\\mathsf{= -12 + 5}\\\mathsf{= -7}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-7}}}\huge\checkmark[/tex]

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

Answer: m= -1/2

Step-by-step explanation: Equation of line in slope intercept form is represented by,. y= mx+c —-(1). Given that the line p passes through A (- 2, 4) and has a slope m= -1/2.

Answer:

2(3x+2)

Step-by-step explanation:

i think that's what it is

Answer:

What do you need done here?

Step-by-step explanation:

6x + 4 means nothing unless you want to factor the binomial.

I assume you want to factor.

Factor out 2.

2(3x + 2)

Is this what you are looking for?

Answer:

Step-by-step explanation:

18=18+x-x*x/x

Based on the equation of the line that is parallel to the first line, the equation of the line in slope-intercept form is y = 3/4x - 6³/₄

First, find the slope of 3x + 4y = 7:
( 3x + 4y = 7) x 1/4

3/4x + y = 7/4

The slope is therefore 3/4x.

Lines that are parallel to each other have the same slope. You can therefore use this slope to find the formula of the other line by first solving for the y-intercept:
y = Slope(x) + y-intercept

-9 = 3/4(-3) + y-intercept

y-intercept = -6³/₄

The equation of the line is:

y = 3/4x - 6³/₄

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The number of students per teacher is 17 and per tutor is 12. For 72 students the academy needs 6 tutors.

The given question is solved using the unitary method.

The arts academy requires 4 teacher for every 68 students

The arts academy requires 1 teacher for every 68/4 students

The arts academy requires 1 teacher for every 17 students

The academy has 17 students per teacher

It requires 3 tutors for every 36 students

3 tutor = 36 student

1 tutor = 36 /3 = 12 students

The academy has 12 students per tutor

For 72 students the total number of tutor required are 72/12 = 6

The number of students per teacher is 17 and per tutor is 12. For 72 students the academy needs 6 tutors.

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Answer:

-6x-18

Step-by-step explanation:

in class

Answer:-24

Step-by-step explanation: you do -6(x)+(-6)(3) and u get -6+-18 and get -24 hope it helps .

Answer:

n x 2 + 3 = n x 4 + 11

Step-by-step explanation:

n x 2 ("two times a number) + 3 ("increased by three") = ("is equal to") n x 4 ("four times the same number") + 11 ("increased by eleven")

It will take 3 days for the cost of the car to be the same which is $740.

So,

Ben's car rental:

Dave's car rental:

Now,

Days after which the cost will be the same:

Day 1:

Day 2:

Day 3:

Therefore, it will take 3 days for the cost of the car to be the same.

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Consequently, there exist four numbers z:

√3/2 ± I 1/2

-√3/2 ± I 1/2

The three unique vertices of an equilateral triangle are 0, z, and z3: (z^3=0)= e ^iπ/3(z -0 ) ⇔ z^3=e^(±iπ/3)z

=(z^2-e^±iπ/3)z=0⟺z=0

or z^2=e^±iπ/3

Since we have z[tex]\neq[/tex]0, z=e^±iπ/6= ±(√3/2 ± I 1/2  )

There are thus four numbers in z:

√3/2 ± I 1/2

-√3/2 ± I 1/2

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The volume of the remaining solid correct to 2 decimal places is 3634.60 m³

From the question, we are to determine the volume of the remaining solid

Volume of the remaining solid = Volume of the larger prism - Volume of the rectangular prisms carved out

First, we will determine the volume of the larger prism

Volume of the larger prism = 17 × 17 × 17

Volume of the larger prism = 4913 m³

Now, we will determine the volume of one of the rectangular prism that was carved out

Volume = 4 × 9.4 × 17

Volume = 639.2 m³

∴ Volume of the two identical holes carved out = 2 × 639.2 m³

= 1278.4 m³

Thus,

Volume of the remaining solid = 4913 m³ - 1278.4 m³

Volume of the remaining solid = 3634.60 m³

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It will take the bottle of maple syrup 3 hours 45 minutes to reach  20° C from  –16° C.

given data

the bottle temperature will go up a steady 9.6° C every hour

freezer temperature  = –16° C

final temperature = 20° C

The temperature rise from –16° C to 20° C

from –16° C to 0° C = 16° C

from 0° C to 20° C = 20° C

adding both increments gives = 20 + 16 = 36° C

if every hour we have 9.6° C then how many hours will give 36° C

1 hour = 9.6° C

? hour = 36° C

we cross multiply to have

= 36 * 1 / 9.6

= 3.75

This is 3 hours then a fraction of some minutes, the fraction is gotten by

0.75 * 60 = 45

Therefore the time to reach 20° C is 3 hours 45 minutes

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Answer: I got 18

Step-by-step explanation:

Substitute all the variables

18 = 2*3^2

X = 4 * 9^2

X = 4 * 81

X = 324

324/18 = 18

so the is answer is 18.

Also are you going to A+ by any chance?