Answer:
x=1
Step-by-step explanation:
3(x+6)-5=16
3(x+6)=16+5
3(x+6)=21
x+6=21/3
x+6=7
x=7-6
x=1
3(x+6)-5=16
3(1+6)-5=16
3×7-5=16
21-5=16
16=16
A rectangle has an area of 48 cm² and a perimeter of 38 cm. What are the dimensions of the rectangle?
A. 1 cm X 48 cm
B. 2 cm x 24 cm
C. 3 cm x 16 cm
D. 4 cm x 12 cm
E. 6 cm x 8 cm
Answer:
c
Step-by-step explanation:
3x16=48
3+16+3+16=48
pls brainliest
1. Which figure would you have used to make the Escher‐like tessellation shown below?
Answer:
I'm pretty sure the answer is B.
Step-by-step explanation:
Hope this helps u out!
Please I need help haha it’s for math
Answer:
1600
Step-by-step explanation:
pls brainliest
Answer:
hope it helped have a good day mate
David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?
Answer:
David share is 36 sweets
Step-by-step explanation:
let Lucy share be x
let David share be y
Lucy has 27 more
x=y+27
total sweet is x+y
y+27 +y= 2y+27
total ratio = 4+7=11
David share=
[tex]y = \frac{4}{11} \times (2y + 27)[/tex]
[tex]11y = 4(2y + 27)[/tex]
[tex]11y = 8y + 108[/tex]
[tex]11 y- 8y = 108[/tex]
[tex]3y = 108[/tex]
y=108/3= 36
Write the equation of the line, in slope intercept form, through the following two points.
Answer:
y=[tex]\frac{5}{8}x[/tex]
Step-by-step explanation:
So in this equation you have to do this with the points to get the slope
M= [tex]\frac{y2-y1}{x2-x1}[/tex]
M is the slope so using this eqaution will give you the equation.
The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the numbers.
Answer:
Step-by-step explanation:
"The difference of two numbers is 15."
x-y = 15
x>y
"Five times the smaller number is the same as 9 less than twice the larger number."
5y = 2x-9
y = x-15
substitution
5(x-15) = 2x-9
5x-75 = 2x-9
3x = 66
x = 22
y = x-15 = 7
On a certain map 4 inches represents 26 miles. What distance does 11 inches represent?
What is the area of a closet that is 6 feet wide and 10
4
110 feet long?
A 642 square feet
B 60 square feet
C 45 square feet
D 16, square feet
HELP AGAIN PLEASE 20 POINTS What methods can be used to solve a system of equations and when would you use each? Be sure to include systems with nonlinear equations.
Answer:
The three ways to solve a system of equations are substitution, elimination, and graphing. You can use these methods to solve any system of equations, it just depends on which method you use.
Step-by-step explanation:
In the substitution method, you get one variable isolated on one side of an equation, then use that equation to substitute the variable with what it's equal to into the second equation to solve the equation.
In the elimination method, you get all the variables in your equations together one side, and the constant on the other. Then, multiply or divide one or two equations to get one variable with the same coefficient for both equations (be sure to multiply or divide both sides to each equation), and add or subtract the equations together to get rid of that variable (make sure to add the left sides of the equations together and the right sides of the equations together, no the opposite!) and solve the equation.
In the graphing method, you solve for y in each equation, graph both equations on a coordinate plane, and find the point of intersection for both lines to solve the equation (For example, if the point of intersection is (2, 7), the answer to your equation would be X = 2 and Y = 7).
Please help me, I will give brainliest, I am struggling badly.
Answer:
Slope Number 1 is Harry.
Step-by-step explanation:
y = -1/2 + 30
-1 being one less exercise to complete
2 being the 2 minutes spent on each exercise
and 30 being the number of exercises
Find the length of the third side. If necessary, round to the nearest tenth.
15
8.
Answer:
The third side is 17
Step-by-step explanation:
To find the hypotenuse, you square the legs of the right triangle and add the values together, and then take the square root of their sum. [tex]\sqrt{15^{2} + 8^{2} }[/tex] = [tex]\sqrt{225 + 64}[/tex] = [tex]\sqrt{289}[/tex] = 17
Which of the following is a source of income?
A.FICA
B.Investment
C.Timeshare
D.House purchase
Answer:
B. Invesment
Correct me if You want If its wrong.
Identify the key features of these functions:
f(x) = 3(x + 5)2 − 10
g(x) = 200(0.95)x
h(x) = -0.25(x + 3)(x − 1)
The vertex of f(x) is at
. The function g(x) is decreasing at a rate of
%. The zeros of h(x) are at
and
.
Answer:
The vertex of f(x) is at (-5,-10).
The function g(x) is decreasing at a rate of 5%.
The zeros of h(x) are at x = -3 and x = 1.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
Decaying exponential function:
A decaying exponential function has the following format:
[tex]A(x) = A(0)(1-r)^{x}[/tex]
In which A(0) is the initial quantity and r is the decay rate.
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Vertex of f:
The function f is given by:
[tex]3(x+5)^2 - 10[/tex]
Expanding the calculations to place at the correct format:
[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]
Which means that
[tex]a = 3, b = 30, c = 65[/tex]
The x-value of the vertex is:
[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]
The y-value of the vertex is:
[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]
The vertex of f(x) is at (-5,-10).
Decreasing rate of g(x).
We have that:
1 - r = 0.95
So
r = 1 - 0.95 = 0.05
Which means that the decreasing rate is of 5%.
The zeros of h(x) are
The zeros are
x + 3 = 0 -> x = -3
x - 1 = 0 -> x = 1
So
The zeros of h(x) are at x = -3 and x = 1.
2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?
Answer:
f(g(x)) = 2x - 7
g(f(x)) = 2x - 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x - 5) + 3
= 2x - 10 + 3
= 2x - 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) - 5
= 2x + 3 - 5
= 2x -2
Glenda sells coffee for 50¢ and empanadas for $2 at the park on the weekends. One Saturday she
sold 90 items and made $105. How many coffees did she sell?
Answer:
50 coffees
(and 40 empanadas)
Step-by-step explanation:
x= coffee y=empanadas
.5x+2y=105
x+y=90
Isolate a variable
x+y=90
x-90= -y
-x+90=y
Plug this in for y in the other equation
.5x+2(-x+90)=105
Solve for x
.5-2x+180=105
-1.5x= -75
x=50
we can stop here but that's lame so let's figure out how many empanadas she sold
we know that x=50 so we can just plug this into either beginning equation and solve for y
50+y=90
y=40
The statement "a>2 and a <5" is true when a is equal to what?
A.) 3
B.) 5
C.) 2
D.) 10
Answer:
A
Step-by-step explanation:
As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.
n - 89 > 171. what inequality below true. 1. n=82. 2. n=105. 3. n=268. 4. n=300. 5. n=312
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Compare the two sets of data. Who gets more sleep? Why?
Jason, because he gets higher median hours of sleep
Jason, because he has less variability in sleep hours
Mitch, because he gets higher median hours of sleep
Mitch, because his maximum hours of sleep were greater than Jason’s maximum
Answer:
C. Mitch, because he gets higher median hours of sleep
Step-by-step explanation:
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
Gianna had a canister with 6 1/2 pounds of sugar. She used 2 3/4 pounds of sugar to make cookies. How much sugar is left in the canister?
A. 3 3/4
B. 4 1/4
C. 4 3/4
D. 17 7/8
In ΔRST, r = 52 cm, s = 55 cm and ∠T=48°. Find the length of t, to the nearest centimeter.
Answer:
44
Step-by-step explanation:
delta math
The length of t is approximately 43.60 cm, to the nearest centimeter.
What are the properties of Triangle?The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
To find the length of side t in triangle RST, we can use the law of cosines, which relates the lengths of the sides and the cosine of one of the angles in a triangle:
[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]
where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides.
In this case, we know that:
r = RS = 52 cm
s = ST = 55 cm
∠T = 48°
So, we want to find the length of t, which is the side opposite the angle T.
Let's call the length of t "c". Then, applying the law of cosines, we have:
[tex]c^2 = r^2 + s^2 - 2rs cos(T)\\\\c^2 = (52 cm)^2 + (55 cm)^2 - 2(52 cm)(55 cm) cos(48^0)\\\\c^2 = 1901.57[/tex]
Taking the square root of both sides, we get:
c= 43.60 cm
Therefore, the length of t is approximately 43.60 cm, to the nearest centimeter.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
2. What is the value of the number in the thousandths place of 1079.483?
Answer:
3
Step-by-step explanation:
Answer:
9000
Step-by-step explanation:
A local park is renting canoes. Canoe rental costs $4.75 per hour. If you want to spend $9.50, how
many more hours (h) can you rent the canoe? *
Help
Answer:
I would say 2 hours
1 bag of pretzels cost four dollars. Five bags of pretzels cost $12.00. Which has the lower unit price??
Answer:
The 5 bags of pretzels.
Step-by-step explanation:
Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00
Answer:
The second option
Step-by-step explanation:
In order to find the unit price of each, consider the quotient of amount of money per bag:
Case 1:
$4/ 1 bag
Case2:
$12 / 5 bags = $2.4 / 1 bag
Therefore, the second option is the one with lower unit price.
I am confused on what I need to do. someone please help?
Answer:
x = 16
Step-by-step explanation:
Since ∆ABC is congruent to ∆DEC, their corresponding angles would be equal to each other.
<B is congruent to <E, therefore,
<B = <E
x + 15 = 6x - 65 (substitution)
Collect like terms
x - 6x = -15 - 65
-5x = -80
Divide both sides by -5
x = 16
You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]WILL GIVE BRAINLIEST TO BEST ANSWERED
Answer:
B
Step-by-step explanation:
Hope this helps
Answer:
It would be B
Step-by-step explanation:
Hope this helps
X^2- 2x - 54 = 0
I need the answer for this please
x = -6, 8
Find the values of x by factoring, getting
(x - 8)(x + 6) = 0
Answer:
x = -6, 8
Step-by-step explanation:
What transformation is happening?
Answer:
Reflection and Dilation
Step-by-step explanation:
These two make the most sense for this.
Hope it helps and is correct!
There are 37 oak Trees Correctly in the park park workers will Plant 27 more oak Trees today how many oak Trees will The park have when The workers are finished
Answer:
64
Step-by-step explanation:
37+27=64