For -1:
y = x + 6
y = 5
( -1, 5)
For 0:
y = x + 6
y = 6
(0, 6)
For 2:
y = x + 6
y = 8
(2,8)
For 4:
y = x + 6
y = 10
(4,10)
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 :
https://brainly.com/question/19297665
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Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each ticket costs 15 dollars. (write an equation)
Answer:
5 * w = 15
w= 3
Hope this helps!
Answer:
5•15=w
(Is this subtracting from the total?)
was there more to this question that you didn’t include?
Find the measure of the indicated angle to the nearest degree
Answer:
32°
Step-by-step explanation:
use this formula :
Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:
Sin(x) = 28/53
Sin(x)= 0.5283018868
So to find x just do Sin^-1
x = Sin^-1 (0.5283018868)
you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚
if you put them into your calculator you will get 32˚ as your answer
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:
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 :)
Three teachers buy prizes to put in the prize bin at school. Mrs. Maiers spends $7.68 on stickers. Mr. Lang spends $11.52 on balloons. Mrs. Connor spends $17.64 on pencils.
Answer: $12.28
Step-by-step explanation:
Here's the complete question:
Three teachers bought prizes to put in a bin at school. Mrs. Maier spent $7.68 on stickers. Mr. Lang spent $11.52 on balloons. Mrs. Connor spent $17.64 on pencils. The teachers divided the cost evenly. How much did each teacher pay?
Cost of stickers = $7.68
Cost of balloons = $11.52
Cost of pencils = $17.64
Total spent = $7.68 + $11.52 + $17.64 = $36.84
The amount that each teacher will pay when the total cost is evenly shared will be:
= $36.84 / 3
= $12.28
What is the measure of the missing angle?
Answer:
47
Step-by-step explanation:
Hey There!
So remember all of the angles in a triangle will add up to equal 180
So to find the missing angle we subtract the given angles (65 and 68) from 180
180-65-68-47
so we can conclude that the measure of the missing angle is 47
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]
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.
4. 12 ___ -15 = 27
5. -18 ___ -¾ = 24
Answer:
4) 3.5
5) -1.375
Step-by-step explanation:
plug in x for the missing number and solve
Answer:
4. 12 (3.5) -15 = 27
5. -18 (445.5) -¾ = 24
Step-by-step explanation:
4. 12? -15 = 27
12? = 42
? = 3.5
5. -18? -¾ = 24
-18? = 24 + 3/4
-18? = 96/4 + 3/4
-18? = 99/4
? = 891/2 or 445.5
In which quadrant does the point with c ordinate (4, -3) lie?
Answer:
4
Step-by-step explanation:
hope the diagram helps haha
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:
44.99 with a 9.25 sales tax, what is the total price?
please help thank you :)
[tex]x + 30 + 2x + 90 = 180[/tex]
[tex]3x + 120 = 180 \\ 3x = 180 - 120 \\ \: \: \: 3x = 60 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ x = \frac{60}{3} \: \: \: \: \: \: \: \: \: \: \: \\ x = 20 \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it helps you ❣❣ Mark me as brainliestAnswer:
x+30 + 2x + 90 = 180
3x + 120 = 180
3x = 60
x = 20
Step-by-step explanation:
there are 180 degrees in a triangle
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.
A city has a population density of approximately 6,300 people /km2. The population is about 552,200 people. What is the approximate area of the city
Answer:
Step-by-step explanation:
552,200 people × (1 km²)/6,300 people) ≈ 87.65 km²
What is m D?
mZD =
PLZZZ help
Answer:
Angle D is 63
Step-by-step explanation:
oAngle B is congruent and correponding to angle D
Angle B is 63 degrees
so therefore, angle D is also 63 degrees
Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D
-Lil G
Sarah took the advertising deparſment from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was
able to purchase coach tickets for $240 and first class tickets for $1100. She used her total budget for airfare for the trip, which was $6080. How many first class
tickets did she buy? How many coach tickets did she buy?
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
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
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
I dont get this pls help i need it ASAP
i need help can anyone help???
Answer:
x=75.4
360-(13.2*2)=333.6
333.6=(8+4)4
333.6=32+4x
301.6=4x
***x=75.4***
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
PLEASE HELPP
it isn't 62 I already tried it
Answer:
112°
Step-by-step explanation:
50 + 62 = 112
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
If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each sweater.
Answer:
shirt = $20
sweater = $35
Step-by-step explanation:
This question would be solved using simultaneous equation
Let the price of sweater be represented by a
Let the price of shirt be represented by b
The following equations can be derived from the question
2a + 4b = 150 equation 1
4a + 3b = 200 equation 2
Multiply equation 1 by 2
4a + 8b = 300 equation 3
Subtract equation 2 from 3
5b = 100
divide both sides of the equation by 5
b = 20
substitute for b in equation 1
2a + 4(20) = 150
2a + 80 = 150
collect like terms
2a = 150 - 80
2a = 70
divide both sides by 2
a = 35
Price of sweater = $35
Price of shirt = $20
Answer:
What the other guy said
Step-by-step explanation:
If 5(2x + 1) = 3(x+4) – 5, what is the value of x ?
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
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
Answer:
20
Step-by-step explanation: