Solve the equation for x 1/3 (6x-15) = 1/2(10x-4)

Answers

Answer 1

For this case we must solve the following equation for x:

[tex]\frac {1} {3} (6x-15) = \frac {1} {2} (10x-4)[/tex]

We apply distributive property to the terms of parentheses:

[tex]2x-5 = 5x-2[/tex]

We subtract 5x on both sides of the equation:

[tex]2x-5x-5 = -2\\-3x-5 = -2[/tex]

Suamos 5 on both sides of the equation:

[tex]-3x = -2 + 5\\-3x = 3\\x = - \frac {3} {3}\\x = -1[/tex]

Answer:

[tex]x = -1[/tex]


Related Questions

I need help with the question

Answers

Answer:

B

Step-by-step explanation:

B is correct.  That "-7" will shift the graph of F(x) down by 7 units.

Answer:

B

Step-by-step explanation:

Given

y = f(x), then f(x) + c represents a vertical translation parallel to the y- axis.

• If c > 0 then translation up of + c units

• If c < 0 then translation down of - c units

Hence

g(x) = f(x) - 7

then g(x) is the graph of f(x) shifted 7 units down → B

Write the equation of the line with slope 4 through the point (-2, 5)

Answers

Answer:

y=4x+13  or y-5=4(x+2)

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

In this problem we have

m=4

(x1,y1)=(-2,5)

substitute

y-5=4(x+2) ----> equation of the line into point slope form

Convert to slope intercept form

y-5=4x+8

y=4x+8+5

y=4x+13 ----> equation of the line into slope intercept form

In the diagram below, AB and bc are tangent to o. What is the measure of ac?

Answers

Answer:

Option D. [tex]150\°[/tex]

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

[tex]m\angle ABC=\frac{1}{2}[arc\ ADC-arc\ AC][/tex]

substitute the given values

[tex]30\°=\frac{1}{2}[210\°-arc\ AC][/tex]

[tex]60\°=[210\°-arc\ AC][/tex]

[tex]arc\ AC=210\°-60\°=150\°[/tex]

Answer:

Option (D) is correct.

Step-by-step explanation:

OA is perpendicular to AB

OC is perpendicular to BC

Radius from the center is perpendicular to the tangent.

In quadrilateral ABCO,

∠ABC+∠BCO+∠AOC+∠OAB=360°

30°+90°+∠AOC+90°=360°

∠AOC+210°=360°

∠AOC=360°-210°

∠AOC=150°

Hence, arc AC=150°

Thus, the correct answer is option (D)

which graph fits the question?? HURRY PLEASE

Answers

Answer:

this is the Answer

What set of fractions is ordered from least to greatest? A) 2/5,1/4,3/8 B) 3/8,2/5,1/4 C) 1/4,3/8,2/5 D) 3/8,1/4,2/5

Answers

Answer:

C) 1/4,3/8,2/5

Step-by-step explanation:

First of all, let's rewrite all the fractions listed as decimal numbers:

[tex]\frac{2}{5}=0.400[/tex]

[tex]\frac{1}{4}=0.250[/tex]

[tex]\frac{3}{8}=0.375[/tex]

So the correct order from least to greatest should be

0.250, 0.375, 0.400

Which corresponds in fractional form to

1/4, 3/8, 2/5

So the correct option is

C) 1/4,3/8,2/5

The correct set of fractions ordered from least to greatest is C) 1/4, 3/8, 2/5.

To determine the set of fractions ordered from least to greatest, we need to compare them by finding a common denominator or converting them to decimals.

Let's convert the fractions to decimals:

2/5 = 0.41/4 = 0.253/8 = 0.375

Next, we order the decimals from smallest to largest:

1/4 (0.25)3/8 (0.375)2/5 (0.4)

Therefore, the correct order from least to greatest is: C) 1/4, 3/8, 2/5.

Which is a negatively skewed distribution?

Answers

Answer:

Option D) This plot shows a negatively skewed data          

Step-by-step explanation:

We are given the four distributions.

We have to find those which are negatively skewed.

Negatively Skewed Distribution:

A negatively skewed also known as left-skewed distribution is a type of distribution in which more values are concentrated on the right side of the distribution while the left tail of the distribution graph is longer.Mode > Median > Mean

A) The given plot shows a normal distribution as the maximum values lie around the mean.

B) The given histogram shows a normal distribution as the maximum values lie around the mean.

C) The given box and whisker plot shows a positively skewed data due to tail on the right side.

D) This plot shows a negatively skewed data as most of the data lies on the right side and a tail could be seen on left side due to less data on left side.

Explain how you can use a number line to find the sum of -8.3 + 10.5. Please help!

Answers

Final answer:

You can use a number line to find the sum of -8.3 + 10.5 by marking both numbers on the line, moving left to the negative value, and then moving right by the positive value to find the sum.

Explanation:

To find the sum of -8.3 and 10.5 using a number line, you start by drawing a horizontal line and marking the positions of -8.3 and +10.5 on it. You then move from 0 to -8.3 as this is a negative number. To add 10.5, you move 10.5 units to the right. Because 10.5 is greater than 8.3, your final position will be to the right of zero which makes the sum positive.

Let's break down the steps:

Draw a number line with enough space to mark both -8.3 and +10.5.

Mark the point -8.3 on the left side of zero since it's a negative number.

From -8.3, move 10.5 units to the right because you are adding a positive number.

The point you land on is the sum of -8.3 + 10.5.

If you need to subtract numbers, change the sign of the number being subtracted and then add according to the rules of addition. For instance, to subtract 3 from 5, you would change 3 to -3 and then add: 5 + (-3) = 2.

A card is drawn from a standard deck of cards. Find the​ probability, given that the card is a non dash face card. ​P(nine​)

Answers

Answer:

Step-by-step explanation:Knowing that

There are 26 black cards and 26 red ones. Face card consists of jack (J), queen (Q), king (K). There are (26-6)=20 non face red cards. “Either ... or ...” here means bundle of both kinds of cards.

So, there are (26+20)=46 expected cards.

If you also ask for the probability, so the probability of the question asking above is equal to

23/26

Jong earnee $100, and saved $30. What decimal part did he save

Answers

Answer:

Hi, this question is a little unclear.  If you want to know what percentage he saved, it would be 30%, and to convert that percentage into a decimal would be a decimal of 0.30

Answer:

$70.00

Step-by-step explanation:

Add .00 to the end of each amount.

Make sure that the decimal points are lined up like a straight line.

Subtract 100.00 - 30.00

You should receive 70.00 and don't forget the dollar sign at the end so the answer is $70.00.

Who can help me out with this please

Answers

Answer:

a.) 14:6

b.) 6:8

Hope this helped!

Step-by-step explanation:

Answer:

see rexplanation

Step-by-step explanation:

A

There are a total of 14 marbles of which 8 are red and 6 are blue

ratio of all : blue = 14 : 6 = 7 : 3 ← in simplest form

B

ratio of blue : red = 6 : 8 = 3 : 4 ← in simplest form

The areas of the squares adjacent to two sides of a right triangle are shown below 40 POINTS!!!

Answers

Answer:

Given a=33 and c=44,

b = 29.10326 = 11√7

Step-by-step explanation:

The following is one way to perform the calculation. It may not be the best way.

b =√c2 - a2

=√442 - 332

=√847

=29.10326 = 11√7

∠α =arcsin(a/c)

=arcsin(33/44)

=arcsin(0.75)

=0.84806 rad = 48.59° = 48°35'25"

∠β =arcsin(b/c )

c

=arcsin(29.10326442171/44)

arcsin(0.66143782776615)

=0.72273 rad = 41.41° = 41°24'35"

h =a×b/c

=33 × 29.10326442171/44

=21.82745

area =a×b/2

=33 × 29.10326442171/2

=480.20386=363√7/2

perimeter =a+b+c

=33 + 29.10326442171 + 44

=106.10326

inradius =a×b/a+b+c

=960.40772591645/106.10326442171

=9.05163

circumradius =c/2

=44/2

=22

The area of the square on the third side of the triangle is 11  [tex]units^{2}[/tex]

How to find the area of the square?

Area of square A = [tex]a^{2}[/tex] = 33 [tex]units^{2}[/tex]

Side of square A = a = [tex]\sqrt{33}[/tex] units

Area of square B = [tex]b^{2}[/tex] = 44 [tex]units^{2}[/tex]

Side of square B = b = [tex]2\sqrt{11}[/tex] units

Side of square C = c = [tex]\sqrt{b^{2} - a^{2} } }[/tex]

=[tex]\sqrt{44 - 33}[/tex]

=[tex]\sqrt{11}[/tex] units

Area of square C = [tex]c^{2}[/tex]

= [tex](\sqrt{11}) ^{2}[/tex]

= 11 [tex]units^{2}[/tex]

To learn more about triangles, refer:

https://brainly.com/question/12111621

#SPJ2

The stores below each have the same snowboard for an original price of $189.59. At which store can you get the snowboard for the lowest price? Store A: Sale of 30% off and a successive discount of 10% off. Store B: Sale of 20% off and a successive discount of 20% off. Store C: Sale of 40% off.

Answers

Answer:

Snowboard can be purchased for the lowest price from Store C offering 40% discount.

Step-by-step explanation:

We need to compare discounts of 3 stores and find the store selling snowboard lowest of them.

Store A: Sale of 30% off and a successive discount of 10% off.

The formula used for successive discount is = (x+y - xy /100)%

here x= 30 and y =10 so total discount is:

Total discount = ( 30 +10 - (30*10)/100)%

                       = (40 - 300/100) %

                       = (40 -3) % = 37%

Original price = $189.59

Discount offered = 37% of $189.59

                            = 37/100 * 189.59 = $70.15

Selling Price = Original price - Discount offered

                     = $189.59 - $70.15

                     = $ 119.44

Store B: Sale of 20% off and a successive discount of 20% off.

The formula used for successive discount is = (x+y - xy /100)%

here x= 20 and y =20 so total discount is:

Total discount = ( 20 +20 - (20*20)/100)%

                       = (40 - 400/100) %

                       = (40 -4) % = 36%

Original price = $189.59

Discount offered = 36% of $189.59

                            = 36/100 * 189.59 = $68.25

Selling Price = Original price - Discount offered

                     = $189.59 - $68.25

                    = $ 121.34

Store C: Sale of 40% off.

Original price = $189.59

Discount offered = 40% of $189.59

                            = 40/100 * 189.59 = $75.84

Selling Price = Original price - Discount offered

                     = $189.59 - $75.84

                    = $ 113.75

So, Store A Sale price is: $ 119.44

Store B Sale price is: $ 121.34

and Store C Sale price is: $ 113.75

So, Comparing them we found that snowboard can be purchased for the lowest price from Store C offering 40% discount.

Answer:

store c

Step-by-step explanation:

write the solution as an ordered pair (x,y)​

Answers

Answer:

(-2, -3)

Step-by-step explanation:

2x + 1 = 3x + 3

minus 3 from both sides

2x - 2  = 3x

minus 2x from both sides

-2 = x

then plug in -2 for x

y = 2(-2) + 1

y = -4 + 1

y = -3

(-2, -3).

What is the product?

Answers

Answer:

Step-by-step explanation:

To find this product, multiply each of the 6 numbers in the given matrix by 6.  The third possible answer choice is the correct one.

Arun Decided to walk 7 1/3 miles to his friend house . After he had gone 3 5/8 miles , he stopped to rest . How much farther does he have to walk to reach the friend house ? ​

Answers

Answer:

3.71 miles farther.

Step-by-step explanation:

To answer this, subtract 3  5/8 miles from 7  1/3 miles:

22/3 - 29/8 (miles)

Here the LCD is 24.  Thus, we have:

176      87                       89

------ - ------  (miles), or -------  (miles)

24       24                       24

Arun has to walk another 89/24 miles, or 3.71 miles.

Check:  do 3  5/8 miles and 3.71 miles add up to 7  1/3 miles?  Yes, approximately.

Arun has 89/24 miles left to walk to reach his friend's house.

Arun decided to walk 7 1/3 miles to his friend's house. After walking 3 5/8 miles, he stopped to rest. To calculate how much farther Arun has to walk to reach his friend's house, we subtract the distance he has already walked from the total distance he needs to walk.

The total distance to his friend's house: 7 1/3 miles = 7 + 1/3 = (7 × 3 + 1)/3 = 22/3 miles.

Distance already walked: 3 5/8 miles = 3 + 5/8 = (3 × 8 + 5)/8 = 29/8 miles.

To find the remaining distance, we subtract 29/8 miles from 22/3 miles:

First, find a common denominator for the fractions, which is 24. Convert both fractions: 22/3 × 8/8 = 176/24 and 29/8 × 3/3 = 87/24.

Now subtract the distances: 176/24 - 87/24 = 89/24 miles.

Therefore, Arun has 89/24 miles left to walk to reach his friend's house.

which of the following could be folded to produce the object above

Answers

Answer:

the answer is the letter Y

Step-by-step explanation:

Answer:

letter y is the answer

Step-by-step explanation:

What is an equivalent expression to x^-3

Answers

Answer:

   1

---------

  x^3

Step-by-step explanation:

The proper way to write this is with parentheses:  x^(-3).

If you wish to eliminate the negative exponent, rewrite this x^(-3) as

   1

---------

  x^3

a bell rings every 2 hours, a second bell rings every 3 hours, and a third bell rings every 4 hours. if all 3 bells rind at 9:00am., at what time will all 3 bells next ring?

Answers

Answer:

9:00 P.M.

Step-by-step explanation:

All 3 bells ring at 9AM

1st bell: every 2 hours:

9AM, 11AM, 1PM, 3PM, 5PM, 7PM, 9PM

2nd bell: very 3 hours:

9AM, 12AM, 3PM, 6PM, 9PM

3rd bell: every 4 hours:

9AM, 1PM, 5PM,  9PM

So All 3 bells will ring at 9PM again

Answer:

the answer is that they will all ring at 9:00 pm

Step-by-step explanation:

9am=2, 3, 4

10am=0

11am= 2

12pm=3

1pm=2, 4

2pm= 0

3pm=3, 2

4pm= 0

5pm= 2, 4

6pm= 3

7pm=2

8pm= 0

9pm=2, 3, 4

which shows how to use similar right triangles to find the equation of the line...​

Answers

Answer:

First Option

Step-by-step explanation:

Triangles are are similar if we can turn one into the other by moving, rotating, flipping, or scaling. To solve this problem, we just need to match the ratios of the triangles. For both triangles we need to take the Change in y over the change in x, so:

[tex]\frac{change \ in \ y}{Change \ in \x}=\frac{y-b}{x-0}=\frac{m+b-b}{1-0} \\ \\ y-b=mx \\ \\ \boxed{y=mx+b}[/tex]

As you can see, this is the Slope-Intercept form of the equation of a line, where:

[tex]m: \ slope \\ \\ b: \ y-intercept[/tex]

Answer:

The first option would be the answer i believe

Step-by-step explanation:

What is the LCM of 9 and 15?

A) 15

B) 30

C) 45

D) 54

Answers

Answer:

C

Step-by-step explanation:

The multiples of 9 are : 9, 18, 27, 36, 45, 54, 63,......

The multiples of 15 are : 15, 30, 45, 60, 75, ........

The LCM of 9 and 15 is 45

C is the most reasonable answer

what is the area of the regular octagon below? 9m
a). 114.5m
b). 229.1m
c). 391.1m
d). 458.m

Answers

Answer:

No diagram and no explanation what 9 is.

However, if it is an octagon with each side equal to 9 then

area = (# of sides * side^2) / (4 * tan (180 # of sides))

area = 8 * 9 * 9 / (4* tan (180 / 8)

area = 648 / 4 * 0.41421

area = 391.1059607446

answer is C

Step-by-step explanation:

The area of the considered octagon which has distance from its center to the vertex of 9 m is given by: Option b). 229.1 m²

How to find the area of a regular octagon?

If the regular octagon has sides of 'a' units, then its area is:

[tex]A = 2(1+\sqrt{2})a^2 \: \rm unit^2[/tex]

Consider the attached figure below (second figure too).

If we find the value of 'a', then we can use the above formula.

Since there are 8 equal sides in a regular octagon, the angle from center to each of the side is full angle / 8 = 360/8 = 45 degrees.

Since the angle OA is perpendicular on BC, due to symmetry, we have the angle BOC divided into 2 parts.

Thus, we get:

m∠AOB = 45/2 degrees = 22.5°

Using the sine ratio from the perspective of angle AOB, we get:

[tex]\sin(m\angle AOB) = \dfrac{|AB|}{|OB|}\\\\\sin(22.5^\circ) = \dfrac{a/2}{9}\\\\a \approx 2 \times 9 \times 0.38268 \approx 6.888[/tex] meters

(since length of AB is half of length of BC, which is 'a' units).

Thus, we get:

[tex]A = 2(1+\sqrt{2})a^2 \approx 2(1+\sqrt{2})(6.888)^2 \approx 229.1\: \rm m^2[/tex]

Thus, the area of the considered octagon which has distance from its center to the vertex of 9 m is given by: Option b). 229.1 m²

Learn more about area of a regular octagon here:

https://brainly.com/question/858868

can u plz help i need the unser right now!!

Answers

Answer:

C

Step-by-step explanation:

Solving the inequality

[tex]\frac{1}{2}[/tex] x - 2 > 0 ( add 2 to both sides )

[tex]\frac{1}{2}[/tex] x > 2 ( multiply both sides by 2 )

x > 4

Since greater than 4 we want a number line with an open circle at 4, indicating x is not equal to 4 and arrow pointing to the right.

Hence C

the company sells the ice cream cups in packages of 12, 18 and 24 units. and the ice cream cones in packages of 14 and 21 units which of the following statements is not true

Answers

Answer:

The statement which not true is (A)

Step-by-step explanation:

* At first lets revise the volume of the cone and the cylinder

- The cone has circular base and one vertex

- Its height is the line joining the vertex and the center of the base

- Its volume is 1/3(BH), where B is the area of its base and H is its height

- The cylinder has two circular bases

- Its height the line joining between the centers of the two bases

- Its volume = BH, where B is the area of its base and H is its height

* Now lets solve the problem

- The ice cream cup is shaped cylinder with diameter 3 inches

  and height 3 inches

- The ice ream cone is shaped a cone with diameter 4 inches

  and height 6 inches

* Lets find the volume of the ice cream cup

- The volume of the ice cream cup = BH

∵ B = πr² ⇒ area the circle

∵ Its diameter is 3 inches

∵ The radius = 1/2 the diameter

∴ r = 3 × 1/2 = 1.5 inches

∴ B = π(1.5)² = 2.25π inches²

∵ H = 3 inches

∴ V = 2.25 × 3 = 6.75π inches³

* Lets find the volume of the ice cream cone

- The volume of the ice cream cone =1/3 BH

∵ B = πr² ⇒ area the circle

∵ Its diameter is 4 inches

∵ The radius = 1/2 the diameter

∴ r = 4 × 1/2 = 2 inches

∴ B = π(2)² = 4π inches²

∵ H = 6 inches

∴ V = 1/3 × 4π × 6 = inches³

* Lets find the right answer

# (A)

∵ The volume of 24-pack of ice ream cups = 24 × 6.75π = 162π inches³

∵ The volume of 21-pack of ice ream cones = 21 × 8π = 168π inches³

∵ 162π < 168π

∴ (A) Not true

# (B)

∵ The volume of 12-pack of ice ream cups = 12 × 6.75π = 254.5 inches³

∵ 254.5 inches³ > 250 inches³

∴ (B) is true

# (C)

∵ The volume of 14-pack of ice ream cons = 14 × 8π = 351.9 inches³

∵ 351.9 inches³ > 350 inches³

∴ (C) is true

# (D)

∵ The volume of 12-pack of ice ream cups = 12 × 6.75π = 81π inches³

∵ The cylinder container has height = 8 inches

∵ The cylinder container had diameter = 6 inches

∴ its raduis = 1/2 × 6 = 3

∵ The volume of the cylinder container = BH

∵ B = πr² = π(3)² = 9π

∴ Its volume = 9π × 8 = 72π

∵ 81π > 72π

∴ (D) is true

* The statement which not true is (A)

Write the relation as a set of ordered pairs
WILL MARK BRANLIEST

Answers

Answer:

option B

{(-2,4) , (0,6), (2,8)}

Step-by-step explanation:

To answer this you will determine which element of the domain is paired with exactly which element of the range.

The first oval (leftmost) represent the domain (-2 , 0 , 2)

The second oval (rightmost) represent the range (4 , 6 , 8)

(x , y)

x represent the element of domain and y represent the element of y.

Pretty sure it’s B.

The pizza shop offers a 15 percent discount for veterans and senior citizens. An employee uses the calculations shown to figure out how to charge a senior citizen for a $12 pizza. What is the employee’s error?

(100% − Discount %)(Original Amount) = Discounted Amount

(100% − 85%)($12) = Discounted Amount

(15%)($12) = Discounted Amount

(0.15)($12) = $1.80

The discounted price of pizza is $1.80.


A) The employee used the wrong formula.
B) The employee subtracted the wrong percents.
C) The employee used the wrong equivalent decimal for 15 percent.
D) The employee multiplied incorrectly.

PLEASE HELP ASAP!!!

Answers

Answer:

(B) The employee subtracted the wrong percent's.

Answer:

b she substracted wrong

Step-by-step explanation:

A circle has a radius of 16cm. Find the area of a shaded sector formed by a central

Answers

i believe its 803.84

Please explain your answer. Thank you!!

Answers

Answer:

(A) 180

Step-by-step explanation:

We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).

So, how many ways to pick 2 guards from a selection of 4?  The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side).  So, it's a pure combination calculation:

[tex]C(4,2) = \frac{4!}{2! * (4 - 2)!} = \frac{24}{2 * 2} = 6[/tex]

C(4,2) = 6.

How many ways to pick the 2 forwards from a group of 5?  Using the same calculation, we get:

C(5,2) = 10.

And of course, the coach has 3 ways to pick a center player from 3.

Then we multiply the possible ways to pick guards, forwards and center...

6 * 10 * 3 = 180 ways.

If a spinner is spun 5 times then each event is independent

True or false?

Answers

Answer:

True

Step-by-step explanation:

Each time a spinner is spun, there is an equal chance that each result will occur, thus each of these spins are independent.

The answer is true

Hope this helped

What is the price of one pound of strawberries

Answers

Answer:

$3

Step-by-step explanation:

4 / 12 = 3

Answer:

3

Step-by-step explanation:

You Divide $12.00 / 4 And Get You Answer As 3 :)

shape of distribution

choices

bimodal
random
skewed left
skewed right
uniform
unimodal

Answers

Answer:

1.  unimodal

2. bimodal

3. skewed right

4. skewed left

5. uniform

6. random

Step-by-step explanation:

Answer:

1) Uni-modal 2) Bi-modal 3) Skewed right 4) Skewed left 5) Uniform 6) Random  

Step-by-step explanation:

We are given the following information in the question:

1) Since we can see in the graph, there is one observation with highest frequency. Thus, this graph represents a uni-modal data

2) It s clearly seen that there are two values with highest frequencies. These two observations can be treated as the mode of the data. Thus, there are two modes. Thus, the graph represents a bi-modal data.

3) We can see that most of the data lies on the left side of data and very less data is there on the left tail. Hence, the graph is positively skewed or skewed on the right.

4) We can see that most of the data lies on the right side of data and very less data is there on the right tail. Hence, the graph is negatively skewed or skewed on the left.

5. Since all the observations are very close to each other almost equal we could say that the data have a uniform distribution.

6. The above data set have a random distribution since no pattern are observed.

Other Questions
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