simplify 4(x+7)-7-x+2

Answer:

[tex]\frac{31}{8} or 3\frac{7}{8}[/tex]

Step-by-step explanation:

First, these 2 fractions are proper fractions, we will convert them into improper ones.

[tex]5\frac{2}{8} = \frac{42}{8}[/tex]

[tex]1\frac{3}{8} =\frac{11}{8}[/tex]

Now to subtract fractions, we must ensure the denominators are the same, which in this case is already the same, so we can subtract straightaway.

[tex]\frac{42}{8} - \frac{11}{8} \\=\frac{31}{8} or 3\frac{7}{8}[/tex]

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

[tex]\mathsf{5 \dfrac{2}{8} - 1 \dfrac{3}{8}}[/tex]

[tex]\mathsf{= \dfrac{5 \times 8 + 2}{8} - \dfrac{1 \times 8 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{40 + 2}{8} - \dfrac{8 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{42}{8} - \dfrac{11}{8}}[/tex]

[tex]\mathsf{= \dfrac{42 - 11}{8 - 0}}[/tex]

[tex]\mathsf{= \dfrac{42 - 11}{8}}[/tex]

[tex]\mathsf{= \dfrac{31}{8}}[/tex]

[tex]\mathsf{\approx 3 \dfrac{7}{8}}[/tex]

[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{3 \dfrac{7}{8}}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040}[/tex]

Answer: (1, 18)

Step-by-step explanation:

Test each x, y pair.

Getting to the last one, plug in 1 for the x value.

y = 3 * (6 ^ x)

y = 3 * (6 ^ 1)

y = 3 * 6

y = 18

This matches with (1, 18) so it must lie on the graph.

Answer: C

Step-by-step explanation:

See attached image.

Answer:

x = 4

Step-by-step explanation:

co interior angles add up to 180.

this means that: 48 + 34x - 4 = 180

thus 48 + 34x = 184

therefore, 34x = 136

so, x = 4.

The two angles labeled in the given diagram are interior angles on the same side of the transversal. They can also be called interior supplementary angles.

These angles have a sum of 180 degrees.

The two angles given have measures of 48 degrees and (34x-4) degrees.

They have a sum of 180 degrees.

Form an equation:

[tex]48+(34x-4)=180\\48+34x-4=180\\44+34x=180\\34x=180-44\\34x=136\\x=4[/tex]

[tex]x=4[/tex]

Answer: [tex]\angle BCA \cong \angle ACD[/tex]

Step-by-step explanation:

By the reflexive property, [tex]\overline{AC} \cong \overline{AC}[/tex]. So, we just need the pair of angles between these corresponding sides to be congruent.

Answer:3/

Step-by-step explanation:

[tex]\angle EHF=90^{\circ}[/tex] (an angle inscribed in a semicircle is a right angle)

[tex]\angle HEF=38^{\circ}[/tex] (alternate segment theorem)

[tex]a=52^{\circ}[/tex] (angles in a triangle add to 180 degrees)

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

Since there are 5 different flavors,

let

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

Learn more about ratio here:

https://brainly.com/question/1127546

#SPJ1

[tex] \frac{z + 12}{5} = \frac{3z + 3}{4} [/tex]

[tex]4(z + 12) = 5(3z + 3)[/tex]

[tex]4z + 48 = 15z + 15[/tex]

[tex]48 - 15 = 15z - 4z[/tex]

[tex]33= 11z[/tex]

[tex]z = \frac{33}{11} \\ z = 3[/tex]

The volume of the rectangular prism is 27/2 square units

The volume is calculated as:

Volume = Base area * Height

This gives

Volume = 27/5 * 5/2

Evaluate the product

Volume = 27/2

Hence, the volume of the rectangular prism is 27/2 square units

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

Area of shaded region is 42sq.cm

I hope this helps u.

The composition of similarity transformations that maps Triangle LMN to TriangleL'M'N is a dilation with a scale factor less than 1 and then a reflection. Opion A. This is further explained below.

Generally, In the case of a reflection across the y-axis, the y-coordinate of a point stays the same but the x-coordinate is changed into its inverse.

Triangle LMN has the coordinates (2, 1), (1, 1), and (1, 3).

(-4,-4) (-3,-4) (-3,-2).

In conclusion, Assuming that the coordinates (2, 1), (1, 1), and (1, 3) of Triangle LMN. This is the translation 5 units down (x,y-5): Two units to the right (x+2, y-5) of the coordinates (2,-4), (1,-4), and (1,-2): (4, -4), (3, -4), (3, -2)

It is a reflection along the y-axis, with coordinates of (-4,-4) and (-3,-4) (-3,-2)

Therefore, Triangle L'M'N' is the result of the transformation sequence in Option A.

Read more about transformations

https://brainly.com/question/11709244

#SPJ1

Answer: a

Step-by-step explanation:

i got it right on the test

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.  The value of x,y, and z is √38,  (5√38)/3, and √80.556, respectively.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The measure of Y is,

y² = 5² + 3²

y = √38

The measure of ∠C,

Tan(∠C) = 5/3 = z/√38

z = (5√38)/3

The measure of z is,

z² = 5² + x²

x = √80.556

Hence, the value of x,y, and z are √38,  (5√38)/3, and √80.556, respectively.

Learn more about Triangle:

https://brainly.com/question/2773823

#SPJ1

Answer:

1. 8.8 gallons per hour

2. 9:20 am

3. 8:04 am

Step-by-step explanation:

The tank lost 22 gallons of water in 150 minutes (2.5 hours)

This is a rate of 0.14666 gallons per minute or 8.8 gallons per hour

The function: 200 - 0.147(x)

So at 4:30 pm, the tank lost 63 gallons. So at a rate of 8.8 gallons per hour, that means it has been leaking for 7.16 (.16 hours = 9.6 minutes) hours.

So it has been leaking since 9:20 am.

In order for it to completely empty, it needs to drain 115 gallons of water.

At a rate of 8.8 gallons per hour, that means it needs 13.068 hours or 13 hours and 4 minutes.

So it will be empty at 8:04 am.

Answer:

4/6= 2/3

Step-by-step explanation:

5/6 - 1/6 = 4/6

lowest form : 2/3

Answer:

Hello! The answer to your question is 2/3.

Step-by-step explanation:

In this problem, you have to find how much more soda Kari drank than Aisha. To find how much more, you will have to use subtraction:

[tex]\frac{5}{6}- \frac{1}{6} \\= \frac{4}{6}[/tex]

4/6 can be simplified by dividing the numerator and denominator by 2:

4/2 = 2

6/2 = 3

Therefore, your answer is:

[tex]\frac{2}{3}[/tex]

Answer:

C. or third choice.

Step-by-step explanation:

For x ≥ -3 you will need a colored in circle because it has a greater than or equal to sign, and it is shaded to the right.

For x < 3 you will need a circle that is not colored in because it is a less than sign, and it is shaded to the left.

Hope this helps!

If not, I am sorry.

The required linear equation is given by y=10x + 15

The data collected by Harvard Business School plots the linear relationship of business startup success vs. Time.

The statistic is the study of mathematics which deal with relations between comprehensive data.

As clearly, points represents on graph startup success vs Time
part of a straight line
so we take two points on graph at (1,25), (2,35)
now equation of line

 [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
= [tex]y-25=\frac{35-25}{2-1} (x-1)[/tex]
[tex]y=10x+15[/tex]

Thus, The required expression is given by y=10x + 15 which show the relation ship between startup success Vs time

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ1

Answer:

2x +3y -3

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all its sides.

Perimeter of a rectangle= 2 length +2 width

16x -4y -4= 2(6x -5y +1) +2(width)

Expand:

16x -4y -4= 12x -10y +2 +2(width)

2(width)

= 16x -4y -4 -(12x -10y +2)

= 16x -4y -4 -12x +10y -2

= 4x +6y -6

2(width)= 2(2x +3y -3)

Divide both sides by 2:

width= 2x +3y -3

The probability that both the chips are green is: 4/225

The given parameters are:

Green = 2

Blue = 5

Yellow = 8

Total = 15

The probability that both the chips are green is:

P = P(green) * P(green)

This gives

P = 2/15 * 2/15

Evaluate

P = 4/225

Hence, the probability that both the chips are green is: 4/225

Read more about probability at:

https://brainly.com/question/24756209

#SPJ1

Answer:

1) x+45=180

x=180-45

x=135

ans.=135

2) (2x-30)+y= 180

28xy=180

xy= 180-28

y=152

Answer:

36/43 I think.

Step-by-step explanation:

Wyzant

- Please see the attached picture for full sol^! :)

----------- HappY LearninG <3 ----------

Answer:

30

Step-by-step explanation:

Sum of the ratios = 3 + 4 + 5 = 12

Smallest share = 18 bags

Ratio of the smallest share = 3

Let the largest share = x

From the question

18 ------------ 3

x --------------5

Cross multiply

3x = 18 × 5

Dividing bothsides by 3

X = 18 × 5/ 3

X = 90 / 3

X = 30

Therefore.

The largest share = 30

Richard’s account balance at the end of the week is $ 132.45

The amount of money in a person's bank account is called the account balance of that person

It is given that

Account balance of Richard’s at the beginning of the week = $57.34

Deposits in the week  : $ 163.75

Expenses in the week : Groceries + Credit card bill + Gas

Total Expenses in the week = 25.37 + 50 + 13.27

                                               = $ 88.64

The Richard’s account balance at the end of the week = Account Balance +Total Deposits - Total Withdrawals

= 57.34 + 163.75 - 88.64

Therefore , Richard’s account balance at the end of the week is $ 132.45.

To know more about Account Balance

https://brainly.com/question/23271078

#SPJ1

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8.

1.) g(1) = -2

Since the range is from 0 to 18. Therefore, this is not the correct option.

2.) g(5) = 12

Since the domain is from -1 to 4. Therefore, this is not the correct option.

3.) g(3) = 18

This is the only option that is feasible. Thus, this is the correct option.

4.) g(2) = 4

Since the value of g(2) is 8. Therefore, this is not the correct option.

Hence, the correct option is C.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

A

Step-by-step explanation:

this can be done without any calculator, which I did and explain below :

the circumference of a circle is always

2×pi×r

with r being the radius, which is always half of the diameter.

so, the circle X circumference is

pi×15

circle Y

pi×20

the difference is

20×pi - 15×pi = 5×pi

5×pi is half of 10×pi, which would be 10×3.1415... = 31.415...

half of that is about 15.7.

so, A is the correct answer

Answer:

cual es la respuesta de esta pregunta

Probability of average height of women is 0.1379

First check to see if the Central Limit Theorem applies. Since n > 30, it does. Next we need to calculate the standard error. To do that we divide the population standard deviation by the square-root of n, which gives us a standard error of 0.646. Next, we calculate a z-score using our z-score formula:

Z=(X−μ)/S.E.

S.E = σn/√n

S.E =3/√ 9

S.E=1

Plugging in gives us:

(64−63)/1 = 1

Finally, we look up our z-score in our z-score table to get a p-value.

The table gives us a p-value of,

P(z<1.0)=1−P(z>1.0)

P(z<1.0)=1−0.8621

P(z<1.0)=0.1379

So, Probability of average height of women is 0.1379

Learn more about PROBABILITY here

https://brainly.com/question/24756209

#SPJ4