Answer:
y=0.625
Step-by-step explanation:
Answer:
Sorry about the way it is, I don't know how to fix it But I hope you can try and understand it.
Step-by-step explanation:
y
=
3
8
x
−
3
4
in standard form is
3
x
−
8
y
=
6
.
Explanation:
Standard form for a linear equation is
A
x
+
B
y
=
C
.
y
=
3
8
x
−
3
4
Simplify
3
8
x
to
3
x
8
.
Subtract
3
x
8
from both sides of the equation.
−
3
x
8
+
y
=
−
3
4
Multiply both sides by
−
1
.
−
3
x
8
(
−
1
)
+
y
(
−
1
)
=
−
3
4
(
−
1
)
=
3
x
8
−
y
=
3
4
Multiply both sides by
8
.
(
3
x
)
⋅
8
8
−
y
(
8
)
=
(
3
)
⋅
8
4
=
(
3
x
)
⋅
8
1
8
1
−
y
(
8
)
=
(
3
)
⋅
8
2
4
1
=
3
x
−
8
y
=
6
4x +5y =24
2x+7y=21
Answer:
x = 3.5, y = 2
Step-by-step explanation:
This is a system of equations.
Original equations:
[tex]4x+5y=24\\3x+7y=21[/tex]
Substitute y and solve for x:
→ [tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]
Substitute the value for y and simplify:
→ [tex]2x+\frac{7(24-4x)}{5} =21[/tex]
→ [tex]2x + \frac{(168 - 28x)}{5}=21[/tex]
Multiply by 5 on both sides
→ [tex]10x + 168-28x = 105[/tex]
Simplify → [tex]-18x = -63[/tex]
→ [tex]x = 3.5[/tex]
Plug in the value for x into either equation:
→ [tex]4*3.5 + 5y=24[/tex]
→ [tex]14+5y=24[/tex]
→ [tex]5y=10[/tex]
→ [tex]y=2[/tex]
You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.
Total slices required for children,
[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .
Total slices required for adults,
[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]
So, total slices required are, 20 + 80 = 100 .
Number of pizza, n = 100/8 = 12.5
So, he has to order 13 pizza cause pizza cannot be purchased in fraction.
Total price, P = 13 × 9 = $117 .
Hence, this is the required solution.
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
-5, -3,3, 13, 27, 45, 67, ...
Answer:
the pattern is +2, +6, +10, +14, +18 etc
so its in increment of 4
the rest is trivial
Step-by-step explanation:
Answer:
[tex]u_{n} = 2n^{2} -4n-3[/tex]
Step-by-step explanation:
a +b + c = - 5 First term in sequence
3a + b = 2 Difference between first two terms
2a = 4 Difference between the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)
2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so b = -4; 2 - 4 + c = -5 → -2 + c = -5 so c = -3
where is plymoth rock
Answer:
If u mean plymouth rock then the answer is
Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.
Step-by-step explanation:
If a television was 20% off and the amount of the discount was $200 what would the original price be?
Answer:
The original price of the television would be 1000$
. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3
Answer:
a - neither b - perpendicular
Step-by-step explanation:
put them in desmos and look at the lines
Brenda has two remote-controlled race cars painted blue and red, respectively.The blue car traveled 54 feet 4 secounds.The red car traveled 38 feet im 2 seconds.
Answer:
The red car is faster compared to the blue car.
The red car is faster by 5.5 feet than the blue car.
Step-by-step explanation:
The objective is to find which car is faster and by how much
Given that:
The blue car traveled 54 feet in 4 seconds; &
The red car traveled 38 feet in 2 seconds.
Let us determine the number of feet traveled in each second for both cases.
For the blue car:
In 1 second, the car will travel = 54/4 feet
In 1 second, the car will travel = 13.5 feet
For the red car:
In 1 second, the car will travel = 38/2 feet
In 1 second, the car will travel = 19 feet
Thus, the red car is faster compared to the blue car.
The distance at which the red car is faster than the blue car = 19 feet - 13.5 feet
= 5.5 feet
HELP PLEASEE THIS IS MY LAST QUESTION ILL MARK BRAINLIEST
Answer:
F. y = 9.5x + 22.5
Step-by-step explanation:
let the number of shirts be x
For every shirt he pays $9.50 and $22.5 is the additional price
Help me please. I’m trying very hard.
Answer:
27/3
Step-by-step explanation:
50-(18+5)= 27
27/3
What are the domain and the range of this function?
How do I solve this and check all the solutions?
Answer:
x = 2
Step-by-step explanation:
(Square both sides)
20 - 8x = x^2
(Solve 20 - 8x = x^2)
x = 2 , x = 10
x = 10 is false, so the answer is x = 2.
Answer:
x=2
Step-by-step explanation:
√20-8x=x
2√5-2x=x (by simplfing redical expression)
4(5-2x)=x^2 (square both side)
20-8x=x^2
20-8x-x^2=0
-x^2-8x+20=0
x^2+8x-20=0
x=2
Note:There is a another answer x=-10 But it's wouldn't fit out with this equation
Will mark brainliest! Please help I have no idea!
Answer:
the decimals should line up.
Answer:
press the right arrow 3 times
Step-by-step explanation:
to properly subtract any numbers the value of the digits need to be in line
If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?
The amount of the discount would be 20 Dollars
Please help me answer 16 please
Answer:
SSS
Step-by-step explanation:
I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
Write the equation of the line, in point slope form that goes through the given point with the given slope. through: (-2,5), slope = -4* O y + 2 = 5(x + 4) O y - 2 = 5(x-4) O y + 5 = -4(x +2) O y- 5 = -4(x + 2)
Answer:
y-5 = -4(x + 2)
Step-by-step explanation:
The point slope form is;
y-y1 = m(x-x1)
where m represents the slope
(x1, y1) represents the given point
Thus;
y-5 = -4(x + 2)
Graph the line that represents the equation y = -2/3x + 1
Answer:
Step-by-step explanation:
VERY URGENT WILL GIVE YOU 100 POINTS
Answer:
11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13Answer:
1. 11x
2.5x + 7
3. 5x +8
4. 8x + 9y
5. X + 8y +12
6. 12x + 3y
7. 10a + 7b + 4
8. 19a + 11
9. a + 16b + 10
10. 13a + 9b * 11
11. 12a + 2b + 24
12. 4a + 3b + 1
13. 8x + 6
14. 4x + 27
15. 11x + 20
16. 11x + 8y
17. 5x + 3y + 18
18. 7x + 15y + 30
19. 7x + 7y
20. 5x + 10y + 33
21. 2x + 7y + 37
22. 9x + 7y + 9
23. 6x + 8
24. 8x + 13
What are three consecutive even integers whose sum is 66
Answer:
21,22,23
Step-by-step explanation: i love fried chicken look at my skin color
Answer:
Smallest integer: 20
Middle integer: 22
Largest integer: 24
Step-by-step explanation:
Denote the smallest integer as "x"; hence the next integer will be "x + 2", and the third will be "x + 4".
Using the information, set up an equation:
x + x + 2 + x + 4 = 66
Simplify
x + x + 2 + x + 4 = 66
3x + 6 = 66
Inverse operations
3x + 6 = 66
-6 -6
3x = 60
/3 /3
x = 20
Smallest integer: 20
Middle integer: 22
Largest integer: 24
1.A study was created to test the effects of jazz on people's sleep patterns. The hypothesis of the experiment was
that if people listened to jazz music as they fall asleep, they will sleep for longer periods of time. For the experiment,
2 groups of people were created. Group I was placed in a quiet room where they went to sleep and they were timed
on how long they slept. The Group 2 was placed in a room where jazz music played softly as they began to sleep and
played throughout the night. As each group awoke, their sleep times were monitored.
Independent Variable:
Dependent Variable:
Experimental Group:
Control Group:
3 constants:
?
Answer:
Independent Variable: Jazz music
Dependent Variable: Sleeping Time
Experimental Group: people sleeping with jazz music
Control Group: people sleeping without jazz music
3 constants:
No of people in group
Jazz music
Sleep
Step-by-step explanation:
The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.
The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.
Experimental group on which experiment is being carried out.
Control group is which determines the changes in experimental group.
Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .
find the values of x, y, and z
81
91
99
101
180
Help will give a crown!!
Answer:
okay
Step-by-step explanation:
1) Each side length is 12
2) Each side length is 2
Solve w + (-2) = -18 for w.
w =
Answer:
Step-by-step explanation:
w - 2 = -18
w - 2 + 2 = - 18 + 2
w = -16
Answer:
-16
Step-by-step explanation:
w + (-2) = -18 w= -16
Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are
The possible values of x are positive integers that are less than 14
The perimeter of a figure is the sum of all its sides.
A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,
perimeter = 7 + 7 + x
perimeter < 28 feet
Therefore,
7 + 7 + x < 28
14 + x < 28
subtract 14 from both sides
14 - 14 + x < 28 - 14
x < 14
Therefore, the possible value of x are positive integers that are less than 14.
read more: https://brainly.com/question/11473110?referrer=searchResults
What is the solution of the proportion 3/5=13/x ? Round to the nearest tenth if necessary.
Answer: x = 21 2/3
Step-by-step explanation:
3/5 = 13/x
cross multiply 5 × 13, then divide by 3.
65/3 = 21 2/3
It's like multiplying both sides by the reciprocal of the left side.
the perimeter of a right angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5. work out the area of the triangle
The area of the given triangle will be 216 cm²
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
We have been given that the perimeter of a right-angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5.
Let the side lengths of the given triangle be 3x, 4x, and 5x
The perimeter of the triangle = 3x + 4x + 5x
72 = 12x
x = 6
So first side length = 3(6) = 18 cm
So second side length = 4(6) = 24 cm
And third side length = 5(6) = 30 cm
Area of the triangle = (18 × 24)/2
Area of the triangle = 216 cm²
Therefore, the area of the given triangle will be 216 cm².
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ2
[tex]-0.2\sqrt{x^2}[/tex] You have to simplify this
Answer:
The simplified answer to that is -0.2x.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
-0.2x
Step-by-step explanation:
If x is negative then,
-0.2(-2) = 0.4
How do I solve 4x+23>-21
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?
Answer:
x = -1.5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.2x + 1 = 1.6x + 3.1
Step 2: Solve for x
Subtract 0.2x on both sides: 1 = 1.4x + 3.1Subtract 3.1 on both sides: -2.1 = 1.4xDivide both sides by 1.4: -1.5 = xRewrite: x = -1.5Step 3: Check
Plug in x to verify it's a solution.
Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply: -0.3 + 1 = -2.4 + 3.1Add: 0.7 = 0.7