Answer:
The answer is 11/6! Hope this helped!
Steps:
6/3 + (-1/6)
apply rule --> a + (-b) = a - b
6/3 + (-1/6) = 6/3 - 1/6
= 6/3 - 1/6
6/3 = 2
= 2 - 1/6
2 = 6 x 2 over 6
= 6 x 2 over 6 - 1/6
= 12/6 - 1/6
apply fraction rule --> a/c - b/c = a - b over c
12/6 - 1/6 = 12 - 1 over 6
= 12 - 1 over 6
= 11/6
The base of a triangle is 5 meters greater than the height. If the area of the triangle is 102 m2, which are the dimensions of the base and the height?
Answer: The base is 17 meters long, and the height is 12 meters.
Step-by-step explanation:
The area of a triangle is:
A = b*h/2
where:
b = base
h = height.
For this particular triangle, we have that:
b = 5m + h
A = 102 m^2 = b*h/2
We can replace the first equation into the second one:
b*h/2 = 102 m^2
(5m + h)*h/2 = 102 m^2
(5m + h)*h = 2*102 m^2 = 204m^2
5m*h + h^2 = 204m^2
We can rewrite this as a quadratic equation:
h^2 + 5m*h - 204m^2 = 0
The solutions are given by the Bhaskara formula, the solutions are:
[tex]h = \frac{-5m +- \sqrt{(+5m)^2 -4*1*(-204m^2)} }{2*1} = \frac{-5m+-29m}{2}[/tex]
Then the two solutions are:
h = (-5m - 29m)/2 = -17 m
This is a negative height, that is not really defined, so this will be discarded.
The other solution is:
h = (-5m + 29m)/2 = 12m
This is positive, so this is the option we will use.
Knowing h, we can find the value of b.
b = 5m + h = 5m + 12m = 17m
Then the area is:
A = 12m*17m/2 = 102m^2
Alice’s Athletic Arena requires members to pay $20 to join and members must pay $1.50 for each time they come to work out. Roy’s Romper Room requires members to pay $5 to join and members must pay $4 for each time they come to work out. How many visits will it take for the costs to both be the same?
Answer:
6 visits will it take for the costs to be the same
Step-by-step explanation:
The form of the linear relation is y = m x + b, where
m is the rate of changeb is the initial amountAssume that the number of visits is x, and the total cost is y
∵ Alice’s Athletic Arena requires members to pay $20 to join
→ That means there is an initial amount of $20
∴ b = 20
∵ The members must pay $1.50 for each time they come to work out
→ That means there is a cost for every visit (rate of change)
∴ m = 1.5 dollars/visit
∵ The number of visits = x
∵ The total cost is y
→ Form the linear equation for this situation
∴ y = 1.5x + 20 ⇒ (1)
∵ Roy’s Romper Room requires members to pay $5 to join
∴ b = 5
∵ The members must pay $4 for each time they come to work out
∴ m = 4 dollar/visit
→ Form the linear equation for this situation
∴ y = 4x + 5 ⇒ (2)
∵ The costs to both are the same
→ That means, equate the right sides of (1) and (2)
∴ 1.5x + 20 = 4x + 5
→ Subtract 20 from both sides
∴ 1.5x + 20 - 20 = 4x + 5 - 20
∴ 1.5x = 4x - 15
→ Subtract 4x from both sides
∵ 1.5x - 4x = 4x - 4x - 15
∴ -2.5x = -15
→ Divide both sides by -2.5
∴ x = 6
∴ 6 visits will it take for the costs to be the same
suppose that x and y vary inversely and x=1 when y=12. write a function that models the inverse variation. graph the function and find y when x=5
Answer:
y=12/x
Step-by-step explanation:
if y=12, and x=1 so
general formula y=12/x
for x=5 , y=12/5=2.4
you can graph by ploting points such as (1,12), (5, 2.4),...
Solve for x.
18 ÷ x = -2
x =
Pls help / I need answers ASAP / I will give u 5 stars and a thank u on ur answer
Answer: -9
18/x = -2
⇔ x = 18/(-2)
⇔ x = -9
Step-by-step explanation:
which is closer to 0 3/8 or -1/3
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0
Help! Show work please
will mark brainliest
Answer:
x = 62.23 ft
y = 47.67 ft
Step-by-step explanation:
Amanda bought 8 shirts for $132. If long sleeve shirts cost $18 and short sleeve shirts cost $12 , how many of each shirt did she buy? The system of equations to solve this would be:
x + y = 8
or
18x + 12y = 132
Answer:
has to be
Step-by-step explanation:
the first one
Answer:
18x = 12y =132
Step-by-step explanation:
Using the greatest common factor for the terms, how can you write 32 + 24 as a product?
Answer:
25
Step-by-step explanation:
can someone help me with this.
will give brainliest
Answer:
y = -5/3x + 6
Step-by-step explanation:
A line parallel to it would have the same slope which is -5/3 so then you can plug in the points you were given and find b for the line parallel which would be 1 = -5/3(-3) + b and that would simplify into 6 = b so then you know your y intercept and you can now plug it in for the new equation y = -5/3 + 6
Write the number three-hundred-sixty-five-thousandths in standard form.
Answer:
365/1,000 or .365
Step-by-step explanation:
HTH :)
Three hundred sixty five thousand in standard form is 365000.
What is standard form and word form of numbers ?The standard form of numbers is when we have to write the number in digits according to it's place and face value.
Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.
According to the given question we have to write three thousand sixty five thousand in standard form.
We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.
Given we have to write three hundred sixty five thousand in standard form which is 365000.
learn more about numbers here :
https://brainly.com/question/17264364
#SPJ2
Which of the following is a multiple of 8?
A: 22
B: 48
C: 18
D: 30
a point on a perpendicular bisector is 7cm from each endpoint of the bisected segment and 5cm from the point of intersection. What is the length of the segment?
9514 1404 393
Answer:
about 9.80 cm
Step-by-step explanation:
The length of half the segment (h) can be found from the Pythagorean theorem:
h² +5² = 7²
h² = 7² -5² = 49 -25 = 24
h = √24 = 2√6
This is half the segment length, so the whole segment length is ...
L = 2h = 2(2√6)
L = 4√6 ≈ 9.7980
The length of the segment is 4√6 ≈ 9.80 cm.
3. A chessboard is covered by 64 squares that are of the same size.
(a) How many squares fit along the side of the chest board?
b) How many squares fit along the perimeter of the chessboard
Fen completed a triathlon race whose total distance is DDD kilometers. First, she swam a distance of 0.50.50, point, 5 kilometer. Then, she rode a bicycle for xxx hours at an average speed of 202020 kilometers per hour. Finally, she ran for 0.50.50, point, 5 hour at an average speed of vvv kilometers per hour. Write an equation that relates DDD, xxx, and vvv.
Answer:
D = 0.5 + 20x + 0.5v
Step-by-step explanation:
Initial distance covered d1 = 0.5km
If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;
Speed = Distance/Time
Distance d2 = speed × time
d2 = 20x
If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;
Distance d3 = 0.5v
If her total distance is D, then;
D = d1+d2+d3
D = 0.5 + 20x + 0.5v
Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v
Help me fast please i’ll give 20 points
Answer: C
You can use the formula x = -b / 2a to find the axis of symmetry.
can someone help plz
Answer: 20
Step-by-step explanation:
Over what axis was the square reflected in the first example?
Answer:
theres no picture attached
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
Answer:
x < -([tex]\frac{11}{2}[/tex])
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
8x+2 < 6x-9
2x+2 < -9
2x < -11
x < -([tex]\frac{11}{2}[/tex])
WHATS THE MEASURE OF ANGLE D
Answer:
7.6
Step-by-step explanation:
m<DBA is 68 degrees
wy
3.2
Starnes
GPA SAT-M
2.9
670
2.86
520
2.6
570
3.6
710
600
2.7
590
640
3.085 570
3.75
710
3.4
630
3.338 630
3.56
670
3.8
650
3.2
660
510
3.1
McGrail
GPA SAT-M
2.9
620
3.3
590
3.98
650
2.9
600
3.2
620
3.5
680
2.8
500
2.9
502.5
3.95
640
3.1
630
2.85
580
2.9
590
3.245 600
3.0
3.0
620
2.8
580
2.9
600
600
600
3.1
3.2
Was the class stacked
Answer:
Starnes 2.9
Step-by-step explanation:
Given the congruency statement, list all congruent angles and sides
Answer:
Angles: ∠ABC ∠BAC ∠ACB ∠CBA ∠CAB ∠BCA ∠A ∠B ∠C
Sides: AB BA AC CA CB BC
The line is suppose to go over the sides indicating its a segment but I couldn't find the symbol for that
Step-by-step explanation:
Find the value of y
Answer:
y = 11°
Step-by-step explanation:
PR and QS and parallel lines and QR is a transversal.
Now,
5y = 55 (alternate interior angles)
y = 55/5
y = 11
Add all the sides. Write the expression, in the simplest form.
8cm, 8cm, 9x, 9x
Answer: 18x+16 cm
Step-by-step explanation:
Combine the like terms. 9x+9x = 18x and 8+8=16
Find the value of x so that the function has the value 2.
f (x) = -3x + 17
X=
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Function notationStep-by-step explanation:
Step 1: Define
f(x) = -3x + 17
f(x) = 2
Step 2: Solve for x
Substitute: 2 = -3x + 17Isolate x term: -15 = -3xIsolate x: 5 = xRewrite: x = 5Step 3: Check
Plug in x to verify it's a solution.
Substitute: f(2) = -3(5) + 17Multiply: f(2) = -15 + 17Add: f(2) = 2Here we see that f(2) does equal 2.
∴ x = 5 is the solution.
I need help with solving this problem please I will mark brainliest if correct !!!
Answer:
x = 20
4x = 80°
5x = 100°
Step-by-step explanation:
The given angles are supplementary so their sum is 180°
4x + 5x = 180
9x = 180 divide both sides by 9
x = 20
The value of the angle marked 4x = 4 × 20 = 80°
The value of the angle marked 5x = 5 × 20 = 100°
Answer:
80°, 100°
Step-by-step explanation:
The 2 angles are same- side interior angles and are supplementary, thus
4x + 5x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Thus
4x = 4 × 20 = 80°
5x = 5 × 20 = 100°
People asked what the Absolute Value Homework looked like so here it is. I appreciate the help!
Answer:
thank you!
Step-by-step explanation:
Laura has a coupon to get $1.00 off a $4.00 bottle of laundry detergent. What percent will Laura save?
Answer:
She saved 25% or 1/4
Step-by-step explanation:
Please give me brain
The scale for the blueprints for a house is 1 inch = 7ft . The dimensions of a room on the blueprints are 2.5 in
2x + 8y = 6
-5x - 20y = -15
Answer:
The total would be 40.53
Or
Solve for the first variable in one of the equations, then substitute the result into the other equation.
x = 3 − 4 y
Step-by-step explanation:
This question is incomplete so
Create an equation to represent the following situation: I am selling rings for $2 and pins for $1. I want to make $40. Let x represent the number of rings and y represent the number of pins. (SOMEONE HELP PLEASE)