Task 9
Here is an equation:
15(x-3)/5 = 3(2x-3)
Solve the equation by using the distributive property first.
Then solve without using the distributive property and
check your solution.
Answer:
x=0
Step-by-step explanation:
ima break it apart so it is easier to understand, going from left to right.
15(x-3)/5 you will distribute the 15 to the x and the -3
15x-45/5 you will divide 5 to both the 15x and the 45
3x-9 it will now be combined with the right side
now on the right side:
3(2x-3) you will distribute the 3 to the 2x and -3
6x-9 will now be combined with the left side
combining the left and right.
3x-9=6x-9 combine both 'x' es and constants
3x-6x=9-9 solve
-3x=0 divide
-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)
x=0
without distributive property
15(x-3)/5=3(2x-3) remove the parenthesis from the left side
3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides
3x-9=6x-9 the rest is the same as in the combined section up above.
i hope this helps
The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
Now , the value of A is given by
15 ( x - 3 ) / 5 = 3 ( 2x - 3 )
By using the distributive property , we get
On opening the bracket , we get
( 15x - 45 ) / 5 = 6x - 9
Divide by 5 on LHS , we get
3x - 9 = 6x - 9
Subtracting 6x on both sides of the equation , we get
-3x - 9 = - 9
Adding 9 on both sides , we get
-3x = 0
x = 0
Now , without using distributive property , we get
The equation is
15 ( x - 3 ) / 5 = 3 ( 2x - 3 )
Divide by 5 on both sides , we get
3 ( x - 3 ) = 3 ( 2x - 3 )
Divide by 3 on both sides , we get
x - 3 = 2x - 3
Adding 3 on both sides of the equation , we get
x = 2x
Subtracting x on both sides , we get
x = 0
Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0
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Someone please help (urgent)
Answer:
6.5 cm
Step-by-step explanation:
0.5/0.25 = 2
13/2 = 6.5
44.99 with a 9.25 sales tax, what is the total price?
please help this is a swyk and im trying to get all my grades up!
Answer:
2/9 - 1/6 = 1/18
Step-by-step explanation:
2/9= 4/18 and 1/6=3/18
so...
4/18-3/18=1/18
Hope This Helps!
Answer:
1/18
Step-by-step explanation:
find the LCD
= 18
say
18
= 18 ÷ 9
= 2
= 18 ÷6
= 3
now say
2 × 2 = 4
3 × 1 = 3
4-3/18
= 1/18
Find the mean of the following set: 30, 16, 29, 14, 21
Answer:
the mean is 18.2, median is 16, and there is no mode
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.
your question is :30,16,29,14,21 (5 number)
(30+16+29+14+21) / 5 = 22
PLZ HURRY
What is the interval used in the graph shown below?
A.4
B.9
C.10
D.11
Answer:
10
Step-by-step explanation:
I'm stuck on that question too but I would say 10
Answer:
The answer is 10 :))
Step-by-step explanation:
_______ :21=5:7
10:100=_______:200
12:28=_________:7
48:_________=8:9
36:75=12:________
56:120=_______:8
2:4=________:2
45:________=15:20
_______:65=9:13
180:210=_______:35
63:_______=7:8
48:72=4:_______
________:100=6:10
36:108=6:________
3:________=1:3
_________:180=8:20
81:126=9:_______
________:33=2:3
Answer:
Step-by-step explanation:
1) 10:18=5:9
2) 15:21=5:7
3) 10:100=20:200
4) 12:28=3:7
5) 48:54=8:9
6) 36:75=12:25
7) 56:120=3.733:8
8) 18:24=6:8
9) 2:4=1:2
10) 45:60=15:20
11) 45:65=9:13
12) 180:210=30:35
13) 63:72=7:8
14) 48:72=4:6
15) 60:100=6:10
16) 36:108=6:18
17) 3:9=1:3
18) 72:180=8:20
19) 81:126=9:14
20) 22:33=2:3
Answer:
1. 15 :21=5:7
2. 10:100=20:200
3. 12:28=3:7
4. 48:54=8:9
5. 36:75=12:25
6. 56:120=3.73..:8
7. 2:4=1:2
8. 45:60=15:20
9. 45:65=9:13
10. 180:210=30:35
11. 63:72=7:8
12. 48:72=4:6
13. 60:100=6:10
14. 36:108=6:18
15. 3:9=1:3
16. 72:180=8:20
17. 81:126=9:14
18. 22:33=2:3
PLEASE HELPP
it isn't 62 I already tried it
Answer:
112°
Step-by-step explanation:
50 + 62 = 112
What is the measure of angle D?
Answer:
m<D = 26
Step-by-step explanation:
<D = x
x + 122 + 32 = 180
x + 154 = 180
x = 180 - 154
x = 26
Answer:
Step-by-step explanation:
<D + 122° + 32° = 180° ( being sum of angles of triangle )
< D = 180° - 154°
< D = 26°
Hassan sells fruits and vegetables at the market
- the mass of fruit and vegetables are in the ratio. fruit: vegetables =5:7
if hassan sells 1.33 tones of vegetables how many kilograms of fruits did he sell?
- the amount of money hassan receive from selling fruits and vegetables is in the ratio .
fruit: vegetables =9:8
hassan receives total of $5765 from selling fruits and vegetables. how much did he receive from selling fruits and vegetables each.
-hassan sold oranges at $0.35 per kg .if he reduced the price for 40%. what is new price of oranges per kilograms.
- the sale price of oranges $0.35 was increased of 25% from the previous price ,calculate previous day price .
hlp plzzzzzzzzzzzzz
Answer:
950kg
Fruits = 3052.06
vegetables = 2712.94
$0.12
$0.44
Step-by-step explanation:
The first step is to determine the total tonnes of fruits and vegetables sold
7/12 x b = 2.28
b = 2.28 tonnes
Next we determine the tonnes of fruits sold
5/12 x 2.28 = 0.95 tonnes
Next we convert tonnes to kg
1 tonne = 1000kg
0.95 x 1000 = 950 kg
Money he received from selling fruits = 9/17 x $5765 = $3052.06
Money he received from selling vegetables = $5765 - $3052.06 = $2712.94
If price was reduced by 40%, price would be (100-40%) 60% of the original price
0.6 x 0.35 = $0.21
If price was increased by 25%, price would be (100 + 25) 125% of the original price
1.25 x 0.35 = $0.44
In this exercise we have to use the knowledge of finance and percentage to calculate the values of vegetables and fruits:
A)[tex]950\ kg[/tex]
B)Fruits: [tex]\$ 3052.06[/tex] and Vegetables: [tex]\$ 2712.94[/tex]
C)[tex]\$0.12[/tex]
D)[tex]\$0.44[/tex]
The first step is to determine the total tonnes of fruits and vegetables sold:
[tex](7/12)*( b )= 2.28\\b = 2.28\ tonnes[/tex]
Next we determine the tonnes of fruits sold:
[tex](5/12)*( 2.28) = 0.95 \ tonnes[/tex]
Next we convert tonnes to kg:
[tex]1 \ tonne = 1000 \ kg\\(0.95)*( 1000) = 950\ kg[/tex]
Money he received from selling fruits: [tex](9/17)*(5765) = \$3052.06[/tex] Money he received from selling vegetables: [tex]5765 - 3052.06 = \$2712.94[/tex]
If price was reduced by 40%, price would be 60% of the original price, so:
[tex](0.6)*(0.35) = \$0.21[/tex]
If price was increased by 25%, price would be 125% of the original price, will be:
[tex](1.25)*(0.35) = \$0.44[/tex]
See more about finances at brainly.com/question/10024737
This composite figure is made up of three simpler shapes. What is the area of
the figure?
10 cm
17 cm
4 cm
4 cm
15 cm
A. 116 square cm
B. 100 square cm
C. 81 square cm
O D. 146 square cm
Answer:
116
Step-by-step explanation:
Just took test
Answer:
116 brotha
Step-by-step explanation:
PLEASE HELP I NEED HELP
it is C because x dont reapeat
help please! find m∠bcf
Answer:
BCF = 140°
See attached image.
Answer:
m<BCF=140°
Step-by-step explanation:
first find m<BCD
m<BCD=180-50-90
m<BCD=40°.
to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)
180-m<BCD=m<BCF
180-40=m<BCF
m<BCF=140°
helpp pleaseee asap!!
Answer:
30 and 5 left over
Step-by-step explanation:
185/6=30.83333333
30x6=180
185-180=5 left
what is (1 5th) divided by 6 ps.1 5th is my fraction
Answer:
The answer is 0.3 repeating or in a fraction 1/3
Step-by-step explanation:
All you have to do is divide 1/5 th by 6 and then make it a fraction it's not that hard.
Ffthgvhgvhgvhhgjhjhvjhguyyg
Answer:
c is the correct option of the question
Answer:
c) [tex]3^{9}[/tex]
Step-by-step explanation:
[tex]3^{5}[/tex] = 3 x 3 x 3 x 3 x 3
[tex]3^{4}[/tex] = 3 x 3 x 3 x 3
all together would be 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
which would be [tex]3^{9}[/tex]
Jamie writes -2°C > -5°C to compare the temperature on two January days. Explain why you agree or disagree with him
Answer:
I agree with Jamie
Step-by-step explanation:
Given the inequality expression -2°C > -5°C, to compare both temperatures, we are to determine whether we agree or disagree with him.
Note that negative values that are closer to zero on the number line are greater than those that are far from zero. Hence, since -2 is closer to zero on the number line than -5, this means that -2 is greater than -5 hence I agree with Jamie's temperature value comparison.
Solve : 2 (m + 1) = 3(m - 1)
Step-by-step explanation:
hope this helps. if you have any questions don't hesitate to ask :))
Answer:
m = 5
Step-by-step explanation:
Given
2(m + 1) = 3(m - 1) ← distribute parenthesis on both sides
2m + 2 = 3m - 3 ( subtract 2m from both sides )
2 = m - 3 ( add 3 to both sides )
5 = m
Explain how to solve 2x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.
Answer:
2x 2 x 2 x 2= 8 + 1 = 9?
Step-by-step explanation:
The solution of the equation 2x + 1 = 9 will be 4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The equation is given below.
2x + 1 = 9
Simplify the equation, then we have
2x + 1 = 1
2x = 9 - 1
2x = 8
x = 8 / 2
x = 4
The solution of the equation 2x + 1 = 9 will be 4.
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(1.) 4(x +2)=28
(2.) 2(x+4)=28
what dose x repsent
Simplifying
4(x + 2) = 28
Reorder the terms:
4(2 + x) = 28
(2 * 4 + x * 4) = 28
(8 + 4x) = 28
Solving
8 + 4x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 4x = 28 + -8
Combine like terms: 8 + -8 = 0
0 + 4x = 28 + -8
4x = 28 + -8
Combine like terms: 28 + -8 = 20
4x = 20
Divide each side by '4'.
x = 5
Simplifying
x = 5
2. 2 (x+4)=28
Simplifying
2(x + 4) = 28
Reorder the terms:
2(4 + x) = 28
(4 * 2 + x * 2) = 28
(8 + 2x) = 28
Solving
8 + 2x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 2x = 28 + -8
Combine like terms: 8 + -8 = 0
0 + 2x = 28 + -8
2x = 28 + -8
Combine like terms: 28 + -8 = 20
2x = 20
Divide each side by '2'.
x = 10
Simplifying
x = 10
Miguel is 46 years old .He is 4 years older than thrice his son's age. Find the age of his son.
Answer:
42
Step-by-step explanation:
46-4=42
Answer:
son is 14
Step-by-step explanation:
s = son's age
46 = 4 + 3s
42 = 3s
s = 14
A grocery store stocks different flavors of peppermint sticks in 15 jars. The number of sticks in each jar varies from 0 to 49. Suppose you are creating a histogram to represent the situation. A. Which axis should be labeledas the num ber of jars for each flavor? B. What are possible intervals that COULD be appropriate for the histogram?
Answer:
The correct answers are:
A. The Vertical axis should be labelled as the Number of Jars for Each Flavour
B. an interval of 7 could be appropriate
Step-by-step explanation:
A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.
B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.
In which quadrant does the point with c ordinate (4, -3) lie?
Answer:
4
Step-by-step explanation:
hope the diagram helps haha
I dont get this pls help i need it ASAP
Find the value of x please
Answer:
x=54
Step-by-step explanation:
55+54= 109
180-109=71
x+17=71
=54
Please help I will give you brainliest
Answer:
34
Step-by-step explanation:
Find the y-intercept of the graph.
Answer: The y-intercept would be -2
Step-by-step explanation: To find a y-intercept you just need to find the point at which the line crosses the y axis (which is the vertical one.) We know its -2 also because of the unit amount of the graph itself. The 5 at the top of the y axis is at the 5th box which means that each vertical unit represents 1. This is how I know my answer is correct. I hope this answer has been of use to you and if you have further questions please do not hesitate to reach out :)
What is the value of x?
Answer:
the value of x=69 ft approx.
Answer:
[tex]\Large \boxed{\sf 69.02 \ ft}[/tex]
Step-by-step explanation:
Solve for w using Pythagorean Theorem
[tex]\displaystyle w=\sqrt{77^2-22^2} =33\sqrt{5}[/tex]
Solve for z using Pythagorean Theorem
[tex]\displaystyle z=\sqrt{(87.5)^2-(33\sqrt{5} )^2} = 47.02[/tex]
Find value of x
[tex]x=VY+YK[/tex]
[tex]22+47.02=69.02[/tex]
what is the measure in degrees
Answer:
B = 155°, C = 25°, D = 155°
Step-by-step explanation:
Assuming you require B, C, D
A and B are adjacent angles and are supplementary , that is
A + B = 180°
25° + B = 180° ( subtract 25° from both sides )
B = 155°
A and C are vertically opposite angles and are congruent, then
C = 25°
B and D are vertically opposite angles and are congruent , then
D = 155°
name the corresponding angle to angle 3 ! Please help:) will mark b if correct!!
Answer:
Angle 1
Step-by-step explanation:
corresponding angles are angles that are congruent and on the same side if that makes sense
Look at image for reference