Answer:
Tommy's band won 5 awards, Ali's band won 8 awards and Jack's band won 10 awards.
Step-by-step explanation:
Let the number of awards Tommy won be x.
Number of awards Ali won -> x+3
Number of awards Jack won -> 2x
[tex]x+x+3+2x=23[/tex]
[tex]4x+3=23[/tex]
Subtract 3 from both sides:
[tex]4x+3-3=23-3[/tex]
[tex]4x=20[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4}=\frac{20}{4}[/tex]
[tex]x=5[/tex] (Tommy)
[tex]5+3=8[/tex] (Ali)
[tex]5\times2=10[/tex] (Jack)
Answer: Tommy won 5 awards. Ali won 8 awards. Jack won 10 awards.
Step-by-step explanation:
First give each person a variable:
Tommy = y
Ali = a
Jack = x
Then figure out the equations:
Tommy won 3 less awards than Ali, so the equation would be (y = a - 3).
Jack won twice as many awards as Tommy, so the equation would be (x = 2y)
All three won a total of 23, so that would be (23 = y + x + a)
Next, plug in (2y) into the (x) of (23 = y + x + a)
This would result in (23 = 3y + a)
Then you would plug in (a - 3) into (y)
This would result in (23 = 4a - 9)
Solve for a: (a = 8)
Now that you know (a = 8), plug that into the first equation (y = a - 3) to find (y).
Answer: (y = 5)
Use (y = 5) and plug it into the second equation (x = 2y) to find (x)
Answer: (x = 10)
Answers:
a = 8
y = 5
x = 10
What does the graph of f(x) = 3x2 – 2x + 1 look like?
Answer: Please refer to the 2 attachments below.
Step-by-step explanation:
A shoreline at the beach is changing -5 centimeters each year due to wind and water erosion what is the change in the shoreline over the next 7 years
Answer:
35
Step-by-step explanation:
I hope this was helpful.
Which value of n makes this equation true?
Which value of x would make this equation true? 4x-10=18
What number makes the equation true? Enter the answer in the box. 5 = 45 ÷
Answer:
9
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
The answer is 9 because 9*5=45
find the distance between the points (-3,10) and (9,-6)
Answer:
20
Step-by-step explanation:
The distance formula is:
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
where (x₁, y₁) and (x₂, y₂) are the points. We are given the points (-3,10) and (9,-6). Therefore,
[tex]x_{1}=-3 \\y_{1}= 10\\x_{2}=9 \\y_{2}=-6[/tex]
Substitute the values into the formula.
[tex]d = \sqrt {\left( {-3 - 9} \right)^2 + \left( {10- -6} \right)^2 }[/tex]
[tex]d = \sqrt {\left( {-3 - 9} \right)^2 + \left( {10+6} \right)^2 }[/tex]
Solve inside the parentheses. Subtract 9 from 3. Add 10 and 6.
[tex]d = \sqrt {\left( {-12} \right)^2 + \left( {16} \right)^2 }[/tex]
Evaluate the exponents.
⇒ -12²= -12*-12= 144
[tex]d = \sqrt {\left144 + \left( {16} \right)^2 }[/tex]
⇒ 16²= 16*16=256
[tex]d = \sqrt {\left144 + \left256}[/tex]
Add 144 and 256.
[tex]d=\sqrt{400}[/tex]
Take the square root of 400.
[tex]d=20[/tex]
The distance between the two points is 20.
find the change in temperature or elevation from 34°F to -18°F
Answer:jhkijhytgb
lkmq 34
Step-by-step explanation:
hun 3456
is The Chocolate Chips in a Pancake a plane a point line or line segment
Answer:
Line segement
Step-by-step explanation
Yum
Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.. Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second. After how many seconds will the boats be traveling the same speed?
Answer:
13.3 seconds
Step-by-step explanation:
Answer:
12+0.2x=−25−0.7x
Step-by-step explanation:
The diagram shows a circle inside a square.
a
16 cm
Work out the area of the circle.
Answer:
Side of square=Diameter of circle=16
Radius= Diameter/2=16/2=8
Area of circle=4Πr²
=4*3.14*8²
=803.84cm²
The area of the circle that is formed inside the square will be 200.96 square cm.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The length of the square is 16 cm.
From the diagram, the length of the square is equal to twice the radius of the circle. Then we have
2r = a
2r = 16
r = 8 cm
The area of the circle is given as,
A = π (8)²
A = 3.14 × 64
A = 200.96 square centimeters
The region of the circle that is framed inside the square will be 200.96 square cm.
More about the area of a circle link is given below.
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The image point of A after a translation left 3 units and down 1 unit is the point
B(-8, -2). Determine the coordinates of the pre-image point A.
Answer:
b
Step-by-step explanation:
There is no answer or document
The coordinates of the pre-image of point A are (-5, -1).
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation = [k] units
When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.
Downward translation = [k] units
When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.
Leftward Translation = [k] units
When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.
Rightward Translation = [k] units
When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right
We have the image of point [A] after a translation left by 3 units and down by 1 unit is the point B(-8, -2).
Assume that the original coordinates are -
(x, y)
Then, we can write -
(x - 3, y - 1) = (-8, -2)
x - 3 = - 8
y - 1 = -2
x = - 5
y = - 1
Therefore, the coordinates of the pre-image of point A are (-5, -1).
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6. Jason's class projects are graded on a scale of 250 points.
Jason has received scores of 245, 215, 220, and 224 for
his first four projects. Jason worked out his average
score on his projects thus far. In order to maintain the
same average grade on projects, what grade must Jason
receive on his 5th and final class project?
F. 200
G. 215
H. 224
J. 226
K. 245
Answer:
Step-by-step explanation:don’t kno
X X 7
What is the solution to the equation 3+6 - 2?
?
3
x = 2
7
O x = 3
0x = 3
x = 7
Answer:7
Step-by-step explanation:
The solution to the equation 3 + 6 - 2 is 7.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
The given equation is 3 + 6 - 2
Simplifying the terms inside the parentheses first.
= 9 - 2
= 7
Therefore,
The solution to the equation 3 + 6 - 2 is 7.
Learn more about solutions of equations here:
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Where are electrons found in an atom?
Answer
F) inside protons
G) deep within the neutrons
H) orbiting the nucleus
J) covering the surface of protons
Simplify (5x−2+3x^2)+(4x+3)
Answer:
3x^2 + 9x + 1
Or
3x ( x + 3 ) + 1
Step-by-step explanation:
(5x - 2 +3x^2 ) + (4x + 3 )
To make this a little bit more easier to read, you can remove the parentheses:
5x - 2 + 3x^2 + 4x + 3
Now, write in a way so that the like terms are next to each other:
3x^2 + 5x + 4x - 2 + 3
Now simplify the 'x' terms to get:
3x^2 + 9x - 2 + 3
Now, simplify the integers (the ones with now variables with them) to get:
3x^2 + 9x + 1
If you want, you can factor out the 3x for two of the terms to get :
3x ( x + 3 ) + 1
Therefore, your simplest form can either be 3x^2 + 9x + 1 OR 3x (x + 3 ) + 1
What is the difference between a line, line segment, and a ray?
Answer:A line segment has two endpoints. It contains these endpoints and all the points of the line between them. ... A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray.
Step-by-step explanation:
We have a line, line segment and ray.
We have to differentiate between the three of them.
State the Dimension of a line?Line along with line segment and ray are all one - dimensional in nature.
A line, line segment, and a ray can be differentiated as follows -
Line - Collection of points in a straight path is called line. It has no endpoint. It does not have any fixed length. The line has length but no width. A line is made up of a set of points that extend infinitely in opposite directions.Line Segment - A line segment is part of a line that has two endpoints and is finite in length. Ray - Ray is a part of the line. It has one endpoint and no fixed length. A ray can be extended infinitely in any one direction. A ray is also called a half-line. We do not measure the length of a ray.Hence - a line, line segment, and a ray is differentiated.
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i need help with how to do a distributive property & combine like terms.
question: 6r-2r+6
Answer:
4r+6
Step-by-step explanation:
6r-2r+6
Combine like terms
6r-2r = 4r
4r+6
plz help! (click on the pic)
Answer:
26x-1
Step-by-step explanation:
[tex](10x^{2} -1)+(8x^{2} +8x-8)[/tex]
Solve for exponents
[tex]10^{2} =100\\8^{2} = 64[/tex]
(100x -1)+(64x+8x-8)
100x-1+74x-8
100x-74x= 26x
-8+7=-1
26x-1
Hope this helps
Which of the following inequalities have no solution over all real numbers? Check all that apply.
Answer:
cos(x)<-2
-1<csc(x)<1
cos(x)-1>.5
Step-by-step explanation:
I just answered this question and got these answers.
Answer:
a d e
Step-by-step explanation:
edge 2020
A gym membership is $100 sign-up fee and charges $20 a month thereafter. How much is the membership fee in a month?
Answer:
$120
Step-by-step explanation:
y = mx + b
The $100 sign up fee is a set amount, or the b value.
The $20 would be the m value since it the constant change, or the slope.
Thus, the equation would be y=20x + 100
The membership fee for 1 month would be --->
y= 20(1) +100
y= 20 + 100
y= $120
Find the midpoint of AB if A(-3, 8) and B(-7, -6).
(-5,7)
(2,1)
(-5,1)
(2,7)
Answer:
Step-by-step explanation:
(-3-7)/2= -10/2= -5
(6-2)/2= 2/2= 1
(-5, 1)
C is the answer
Simplify the expression 4a − 5b − 6 + 2b − 3a.
Answer:
a-3b-6
Step-by-step explanation:
(4a-3a)(-5b+2b)(-6)
a-3b-6
complete the square
x2×7x+
Answer:
49
Step-by-step explanation:
Which expressions are equivalent to 4 (4a + 5) ?
Answer:
16a+20
Step-by-step explanation:
Distribution property
4×4a + 4×5
16a. + 20
What is the value of x3 + x2 + when x=3
which properties can be used to solve 7y-15=-29? select all that apply.
a. identity property of multiplication
b. addition property of equality
c. distributive property
d. inverse property of multiplication
e. commutative property of addition
Answer:
e d and b
Step-by-step explanation:
just trust me
how many solutions does 25+4x=4x+25
Answer:
Step-by-step explanation:
25 + 4x = 4x + 25
0 = 0
infinitely many solutions
Help please!!! I need help it is Add/sub like fraction 3/4 -1/4 -2/4
Answer:
answer is 0
Step-by-step explanation:
3/4-1/4=2/4
2/4-2/4=0
CJ = 3x + 6,
CT = 37, and
JT = 3x + 7
Find JT.
Answer:
JT=19
Step-by-step explanation:
3x+6+3x+7=37
6x+6+7=37
6x+13=37
-13 -13
6x=24
6x/6=24/6
x=4
3x+7
3(4)+7
12+7
JT=19
WILL NAME BRAINLIEST WHOEVER CAN HELP ME FIRST! PLEASE I NEED A REAL ANSWER!! A quadrilateral is graphed on a coordinate plane. If the vertices are A(2, 6), B(6, 0), C(2, –6) and D(–4, 0), which two points are farthest apart? A. A and B B. B and D C. A and C D. C and D
Answer:
A(2, 6) and C(2, -6)
Step-by-step explanation:
The distance between any two points is given by :
Given vertices : A(2, 6), B(6, 0), C(2, -6) and D(-4, 0)
Since, points A and C has the largest distance between them.
Therefore, the points A and C are the farthest points.
