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
Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sister who is two years younger than him. If the product of his sisters' ages is 70, how old is Richard?
Answer:
7 years
Step-by-step explanation:
Given that:
Let Richard's age = x
Elder sister's age = 2x
Youngwr sister's age = x - 2
Product of sisters ages = 70
2x * (x - 2) = 70
2x² - 4x = 70
2x² - 4x - 70 = 0
x² - 2x - 35 = 0
x² - 7x + 5x - 35 = 0
x(x - 7) +5(x - 7) = 0
(x - 7) or (x + 5) = 0
x = 7 or x = - 5
X can't be negative
Hence, x = 7
Richard is 7 years
y = (x - 4)(x-8)
Distribution
Answer:
[tex]y= x^{2} -12x+32[/tex]
Explanation:
[tex]y=x^{2} -8x-4x+32\\y= x^{2} -12x+32[/tex]
entlying
A and B are forces acting on a falling object. Which
force, A or B, represents gravity in the diagram?
Force
is gravity because it attracts the ball
to the ground.
Answer:
B... Because indicates the direction of gravity because its direction is downward
Answer:b
Step-by-step explanation:
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)
3 and 11
Find the midpoint
Answer:
7
Step-by-step explanation:
could i please get some help?
. 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
Point M is the midpoint of A and B
What are the coordinates of point B?
Answer:
(6, 7) is where B is.
Step-by-step explanation:
If you go down 1/2 and right 5, you get to M. If you go another 1/2 down and right 5, you will get to B.
This is because M is the midpoint, or center point, of line AB. That means there is equal distance going from A to M and equal distance going from B to M.
#teamtrees #WAP (Water And Plant)
Help will give a crown!!
Answer:
okay
Step-by-step explanation:
1) Each side length is 12
2) Each side length is 2
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]
A dolphin was swimming 28 meters below the ocean's surface. It changed its depth to avoid a
predator and ended up 21 meters below the surface.
What was the change in the dolphin's depth?
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.
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
i am in doubt in this task... Thanks
Answer:
the answer is a
Step-by-step explanation:
Use long division to find the quotient below.
(15x2 + 2x2 - 75) - (3x-5)
O A. 5x2 - 9x + 15
B. 5x2 + 9x + 15
C. 5x2 + 12x + 15
D. 5x2 - 12x + 15
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 = 0.7Please 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.
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:
What is the solution set for |x/2|=8?
Answer:
D) x=16 and x=-16
Step-by-step explanation:
D) x=16 and x=-16
If you replace x with either one of them and then take the absolute value, you would have 8.
[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)
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
After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests you start by jogging for 14 minutes each day. Each week after, he suggests that you increase your daily jogging time by 7 minutes.
Help me please. I’m trying very hard.
Answer:
27/3
Step-by-step explanation:
50-(18+5)= 27
27/3
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.
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
solve for p2. p1v1 = p2v2
Answer:
P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]
Step-by-step explanation:
Given expression:
Boyle's law:
P₁ V₁ = P₂ V₂
Problem is to find P₂;
Solution:
P₁ V₁ = P₂ V₂
To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];
P₁ V₁ x [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂ x [tex]\frac{1}{V_{2} }[/tex];
[tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;
P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]
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
Pls show the work
2x - 3y = 12
Answer:
y= -2/3x - 4
x= 3/2y + 6
Step-by-step explanation:
2x - 3y = 12 (plus 3y)
2x = 3y +12 (divide by 2)
x = 3/2y + 6
2x - 3y = 12 (minus 2x)
-3y = 2x + 12 (divide by -3)
y = -2/3x - 4