The drama club is printing T-shirts for its members. The printing company charges a certain amount for each shirt, plus a setup fee of $40. There are 21 students in the drama club.
If the T-shirt order costs a total of $187, how much does each T-shirt cost?
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
To learn more about equations click :
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What is the value of x?
Answer:
x=12
Step-by-step explanation:
All of the arcs have central angles.
Arc UR central angle is 10x.Arc RS central angle is x+61Arc ST central angle is x+63Arc TU central angle is x+80.Since an arc's central angle measure equal the arc measure,
Arc UR measure 10xArc RS measure x+61Arc ST measure x+63Arc TU measure x+80A circle measures 360 degrees so all the arcs added up will equal 360
[tex]10x + x + 61 + x + 63 + x + 80 = 360[/tex]
[tex]13x + 204 = 360[/tex]
[tex]13x = 156[/tex]
[tex]x = 12[/tex]
For the rotation − 104 3 ∘ −1043 ∘ , find the coterminal angle from 0 ∘ ≤ θ < 36 0 ∘ 0 ∘ ≤θ<360 ∘ , the quadrant and the reference angle.
9514 1404 393
Answer:
co-terminal: 37°1st quadrantreference angle: 37°Step-by-step explanation:
-1043°/360° ≈ -2.9
Adding 3×360° will give a co-terminal angle in the range 0-360°:
-1043° +1080° = 37°
This co-terminal angle is in the first quadrant. It is also the reference angle.
_______ :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
Help me with this!!! Will mark Brainliest
Answer:
no
Step-by-step explanation:
Answer: No
Step-by-step explanation: plz mark me brainliest. EF are 5 lengths away from each other and FG is 15 so no
Someone please help (urgent)
Answer:
6.5 cm
Step-by-step explanation:
0.5/0.25 = 2
13/2 = 6.5
Write the number 510 in scientific notation.
Answer:
500+10+0
Step-by-step explanation:
Answer:
5.1 x 102 in scientific notation
Step-by-step explanation:
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease. Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10bStep 1
step1: To find a, take the number and move a decimal place to the right one position.
Original Number: 510
New Number: 5.10
step 2: Now, to find b, count how many places to the right of the decimal.
New Number: 5 . 1 0
Decimal Count: 1 2
Step 3: Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 5.1 (Please notice any zeroes on the end have been removed)
b = 2
Now the whole thing:
5.1 x 102
Step 4:
Check your work:
102 = 100 x 5.1 = 510
India has $100 and saves $18. each month China has $60 and saves 20 each month when will the girls have the same amount of money
Which expression is equivalent to 2(7x-7)?
Multiply using the distributive property.
14 x − 14
Hope this helps you!
Answer:
14x-14
Step-by-step explanation:
2(7x-7)=14x-14
(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
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
formula
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 :)
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°
Which value for x satisfies the equation 3x – 6 = 15?
Ο Α. 3
O B. 7
O C. 18
O D. 27
Answer:
15-6=9
3÷9=3
Step-by-step explanation:
so it is A because if you ever see that just subtract the one number in front of the equal sign then divide the number beside the x.
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]
Need help don’t know how to do this
a. 45:75
Simply the ratio
3/5
first we find gcf for both numinator and dinominator do the gcf is 15
next we divide both by15
then 45÷15=3 and 75 ÷15=5
so the answer is 3/5 or 3:5
A shop is having a sale all items are reduced work out the sale price of an item normally priced at £60
Question:
A shop is having a sales all items are reduced by 25%. Work out the sale price of an item normally priced at £60?
Answer:
The new price is £45
Step-by-step explanation:
Given
[tex]Sales\ price = \pounds 60[/tex]
[tex]Rate = 25\%[/tex]
First, calculate the reduction
[tex]Reduction = Rate * Sales\ price[/tex]
[tex]Reduction = 25\% * \pounds 60[/tex]
[tex]Reduction = \pounds 15[/tex]
The new price is:
[tex]New = Sales\ price - Reduction[/tex]
[tex]New = \pounds 60 - \pounds 15[/tex]
[tex]New = \pounds 45[/tex]
Solve for p.
9(p − 4) = −18
p =
Answer:
The answer is p = 2.
Step-by-step explanation:
1) Divide both sides by 9.
[tex]p - 4 = - \frac{18}{9} [/tex]
2) Simplify 18/9 to 2.
[tex]p - 4 = - 2[/tex]
3) Add 4 to both sides.
[tex]p = - 2 + 4[/tex]
4) Simplify -2 + 4 to 2.
[tex]p = 2[/tex]
Therefor, the answer is p = 2.
Answer:
p =2
Step-by-step explanation:
9(p-4) =-18
9p-36=-18
9p = -18 +36
9p = 18
divide both side by 9
p =2
Which graph best show a train pulling into a station to drop off its passengers?
Answer:
The answer is B
Because the train will stop and speed decreases with increasing time
The point M(6,-9) is reflected over the x-axis. What are the coordinates of the resulting point, M’?
Answer:
(6 , 9)
Step-by-step explanation:
Percents! Please answer!!
Answer:
39%
Step-by-step explanation:
83-last price
83 last price
100 x ?
100 * last price = 83 . x
x= 39
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
In which quadrant does the point with c ordinate (4, -3) lie?
Answer:
4
Step-by-step explanation:
hope the diagram helps haha
The angle measure of angle LNM is __Degrees
Answer:
90 Degrees
Step-by-step explanation:
<LMN is an interior angle whose measure is equal to one-half the measure of its intercepted arc. Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90.
A population of 430 animals increases at an annual rate of 19%. Find the number of animals present after 5 years. Round your answer to the nearest whole number.
Answer:
1026Step-by-step explanation:
Initial number = 430Increase rate = 19% = 1.19 times per yearNumber of animals after 5 years:
430*1.19^5 = 10262+5x=7x-18+2x
——— ————-
3x 3x
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
Perhaps you want to solve for x the rational equation ...
(2+5x)/(3x) = (7x -18 +2x)/(3x)
Multiplying by 3x and collecting terms, we have ...
2 +5x = 9x -18
20 = 4x . . . . . . add 18-5x to both sides
5 = x . . . . . . . . divide both sides by 4
The solution is x=5.
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
Evaluate the expression.
I -3 I
Answer: 3
Step-by-step explanation:
Answer:
the answer is 3
Step-by-step explanation: