Answer:
8x-2
Step-by-step explanation:
l = x+4
w = 3x-5
The perimeter is
P =2(l+w)
= 2(x+4+3x-5)
Combine like terms
= 2(4x-1)
Distribute
= 8x-2
Answer:
[tex]8x-2[/tex]
Step-by-step explanation:
The perimeter of a rectangle is 2L + 2W, where L represents the length and W represents the width. In this scenario, L is equal to x + 4 and W is equal to 3x - 5. We can setup an equation:
[tex]2(x+4)+2(3x-5)[/tex]
We can then multiply x - 4 by 2 to get [tex]2x+8[/tex]
We can then multiply 3x - 5 by 2 to get [tex]6x-10[/tex]
Adding them together, we get the answer as [tex]8x-2[/tex]
Please find the missing number for the surface area. I will mark brainiest if correct. 2.
It is 18 because it is a square so all the sides have to be the same so that would make it 18
How many 3-digit numbers can you write if you cannot use any other digits except 4 and 6?
Answer:
Step-by-step explanation:
4 4 4
4 4 6
4 6 6
4 6 4
6 6 6
6 6 4
6 4 4
6 4 6
find the measure of the indicated angle to the nearest degree
Answer:
71°
Step-by-step explanation:
12/36 = 1/3
inverse cos(1/3) = 70.53 = 71
Martha and Dave have 99$. Martha has 3 more than seven times as much money as Dave. How much does each person have?
Answer:
x = 12 m = 87
Step-by-step explanation:
x = Dave
(7x + 3) + x = 99
8x + 3 = 99
-3 -3
8x = 96
---- ----
8 8
x = 12
7(12) + 3
84 + 3
87
Dave has 12 dollars, Martha has 87.
what is the volume of the cylinder
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
Amira is twice as old as her cousin Pam. Nine years ago, their combined age was 18. What are their present ages?
Answer:
Amira is currently 24 years old and Pam is currently 12 years old
Step-by-step explanation:
Let Amira's age be [tex]a[/tex] and Pam's age be [tex]p[/tex]. Currently, Amira is twice as old as Pam. Therefore, we can write the equation [tex]a=2p[/tex].
We can write a second equation using the other information given in the question. Nine years ago, Amira and Pam's combined ages was 18. If Amira and Pam are currently [tex]a[/tex] and [tex]p[/tex] years old, respectively, then their respective ages 9 years ago would ben [tex]a-9[/tex] and [tex]p-9[/tex]. Since these add up to 18, we have the equation [tex](a-9)+(p-9)=18[/tex].
Therefore, we have a system of equations:
[tex]\begin{cases}a=2p,\\a-9+p-9=18\end{cases}[/tex]
Substitute the first equation into the second one:
[tex]2p-9+p-9=18[/tex]
Combine like terms:
[tex]3p-18=18[/tex]
Add 18 to both sides:
[tex]3p=36[/tex]
Divide both sides by 3:
[tex]p=\frac{36}{3}=\boxed{12}[/tex]
Now substitute this into any of the equations (I'll choose the first):
[tex]a=2p,\\a=2(12),\\a=\boxed{24}[/tex]
Therefore, Amira is currently 24 years old and Pam is currently 12 years old.
A box of crayons has one each of red, orange, yellow, green, blue, purple, black, and brown. What is the probability of randomly selecting the black crayon and then randomly selecting the purple crayon if you do replace the first crayon before selecting the second crayon?
HURRY I NEED TO KNOW.... what term can you add to 5/6)x -4 to make it equivalent to 1/2x-4?
Answer:
(-1/3)x
Step-by-step explanation:
You can either solve this algebraically or solve it by testing one possible answer at a time.
First example: To (5/6)x - 4, add (-1/3)x. Result: (3/6)x - 4. This is correct.
The correct answer is the first one: (-1/3)x.
What is the smallest prime number that is also a multiple of 29?
Answer:
If you like my answer than please mark me brainliest thanks. A prime number is never multiple of any number it is always multiple of itself and 1 . But your answer is 29 itself
looking for the equation, slope, and y-intercept of: (1,-3) and (0,-1)
Answer:
Equation: y = -2x - 1
Slope: -2
Y intercept: -1
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1):
(y2 - y1) / (x2 - x1)
(-1 + 3) / (0 - 1)
2 / -1
= -2
So, the slope is -2. Plug this and a point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-1 = -2(0) + b
-1 = 0 + b
-1 = b
So, the y intercept is -1. Create the equation by plugging in the slope and b into y = mx + b:
y = mx + b
y = -2x - 1
The equation of the line is y = -2x - 1.
Answer: y=-2x-1. Slope is -2 and y int. is -1.
Step-by-step explanation:
First, you need to find the slope by using the slope formula y2-y1/x2-x1. Plug in the x and y coordinates, which simplifies as -1-(-3)/0-1, and furthermore to 2/-1, or -2. The y intercept can be found by the second point, (0,-1). Therefore, the y int. is -1.
The definition of a circle
Answer:
a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)
Explanation:
Oxford dictionary definition
Step-by-step explanation:
a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center
X+y=2 và x-y=4 tim x và y
Step-by-step explanation:
X
[tex]xx - xxyy - yy = 8[/tex]
In the first quadrant, you start at 2, 6 and move 2units rights and 3 units down what point will you end up on?
Answer:
[tex]End = (4, 9)[/tex]
Step-by-step explanation:
Given
[tex]Start = (2,6)[/tex]
Transformation: 2 units right and 3 units down
Required
The new point
First, we take the right translation;
When a point is translated right by 2 units, the rule is:
[tex](x,y) \to (x + 2, y)[/tex]
So, we have:
[tex](2,6) \to (2 + 2, 6)[/tex]
[tex](2,6) \to (4, 6)[/tex]
Next, we take the down translation;
When a point is translated down by 3 units, the rule is:
[tex](x,y) \to (x, y + 3)[/tex]
So, we have:
[tex](4,6) \to (4, 6+3)[/tex]
[tex](4,6) \to (4, 9)[/tex]
Hence, the endpoint is:
[tex]End = (4, 9)[/tex]
Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c.
Answer:
c = - 2
Step-by-step explanation:
Given inverse function
[tex]f^{-1}[/tex] (5) = - 1 , then
f(- 1) = 5 , that is
- 2c + c(- 1) - (- 1)² = 5
- 2c - c - 1 = 5
- 3c - 1 = 5 ( add 1 to both sides )
- 3c = 6 ( divide both sides by - 3 )
c = - 2
Chi needs to simplify the expression below. (1.25 -0.4)-7+4x3 Which operation should she perform first?
I need an answer quickly
Answer:
She should first perform the operation in the parentheses, you can reference the order of the operations based on PEMDAS.
Step-by-step explanation:
1. parentheses operations
2. multiply 4 x 3
3. add the value you get from the parentheses with -7
4. with that value add it to the product of 4 and 3
Hope that helped! :)
Answer:
Subtraction
Explanation:-
[tex]( 1.25 -0.4) \div7+ 4 \times 3[/tex]
Using BODMAS Rule:-
BracketsOrdersDivisionMultiplicationAdditionSubtractionIn bracket, the operation subtraction should be performed first .
Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!
Answer:
(a) no solution
Step-by-step explanation:
Writing the second equation in slope-intercept form, it becomes ...
3x -y = 2 . . . . given
y = 3x -2 . . . . add y-2 to both sides
The first equation is already in slope-intercept form:
y = 3x +3 . . . . first equation
The coefficients of x in the two equations are both 3, so the lines they describe are parallel. They do not intersect, so there is no solution.
Help pls will give brainliest
Answer:
b
Step-by-step explanation:
area of triangle = 1/2 x c x d =cd/2
area of semicircle = 1/2 x π x r^2 = 1/2 x π x (a/2)^2 = 1/2 x π x a^2/4 =πa^2/8
area of shape = area of triangle + area of semicircle
Can someone help me on this
Answer:
d
Step-by-step explanation:
What is the length of the altitude of the equilateral triangle below?
Answer:
E. 12
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : √3 : 2
The short leg is 4√3.
The long leg is √3 times the short leg.
a = 4√3 * √3 = 4 * √9 = 4 * 3 = 12
Answer: E. 12
there are x boys and y girls at the camp.how many children are at the camp altogether?
(EXPRESS YOUR ANSWER IN TERMS OF X AND Y )
there are x boys and y girls at the camp.how many children are at the camp altogether?
(EXPRESS YOUR ANSWER IN TERMS OF X AND Y )
Answer;
no.of boys = x
no.of girls = y
total no.of children in camp = no.of boys + no.of girls
= x + y..........
Answer:
total children = x+y
Explanation:
The total numper of children at the camp would be the sum of the total number of boys and the total number of girls.
Translate this sentence into a multi-step equation Six more than the quotient of a number and 8 is equal to 2.
Answer:
6+n/8=2
Step-by-step explanation:
* More Than = (+) or in some cases (>)
* Quotient of a (#) = Any letter that represents a number, so in this case "n", because we do not know that number yet. We divide this with "8" because it says "and 8".
* Equal = <---
Help mee quick and explain to me in an easy way as posible
Bags of limes = 4
Total limes in each bag = m
Total limes = 4m
ATQ
4m - 7(4)= 16
4m = 16+28
4m = 44
m = 44/4
m = 11
Value of m = 11
Must click thanks and mark brainliest
On a separate piece of graph paper, graph y=-Ixl +3 then click on the graph until the correct one appears.
Answer:
That is the graph for y = -|x| + 3
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of the ladder.
WILL GIVE BRAINLIEST AND 20 POINTS! PLEASE SHOW WORK!
How many different 8-digit phone numbers do not contain the digit 2? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.
The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers
Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.
Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.
So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.
So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.
Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.
Learn more about multiplication principle of counting here:
https://brainly.com/question/1091225
Use what you know about sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answer:
x = 32 feet
Step-by-step explanation:
By applying tangent rule in ΔACD,
tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{AB+AC}{CD}[/tex]
= [tex]\frac{x+BC}{87}[/tex]
x + BC = 73 -----(1)
By applying tangent rule in ΔBCD,
tan(25°) = [tex]\frac{BC}{CD}[/tex]
= [tex]\frac{BC}{87}[/tex]
BC = 40.57
By substituting the value of BC in equation (1),
x + 40.57 = 73
x = 32.43
x ≈ 32 feet
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
What is a ratio that is equivalent to 12:35?
Answer:
0.3429 is a decimal and 34.29/100 or 34.29% is the percentage for 12/35.
Answer:
24 : 70
Step-by-step explanation:
12 : 35
Multiply each side by 2
12*2 : 35*2
24 : 70
I NEED HELP ASAP!!! i dont understand
Answer:
b
Step-by-step explanation:
A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.
For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form
(y-k)² =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,
y² = 24x
(y-k)² = 4p(x-h)
We can start by setting both sides with y equal to each other, as well as both sides containing x
y² = (y-k)²
square root both sides
y = y-k
k=0
24x = 4p(x-h)
divide both sides by 4
6x = p(x-h)
expand
6x = p*x - p*h
Because p*h does not contain an x value, we can say
6x = p * x
p = 6
6x = p*x - p*h
6x = 6x-6*h
subtract 6x from both sidex
6*h=0
h=0
Our equation is thus
y= 4(6)(x), with our vertex being (0,0) = (h,k)
The directrix is equal to x=h-p, and with p being 6, our directrix is thus
x=0-6 = -6
x=-6
20. Which ordered pair is a solution to
y = 7x - 3?
A. (-2, -17) C. (2,7)
B. (-2, 11) D. (2, 14)
Answer:
A.
Step-by-step explanation:
Here's how to determine if a ordered pair is a solution to an inequality
Step 1. Take the ordered pair and substitute their x and y values to the inequality
Inequality: [tex]y=7x-3[/tex]
Ordered pair: [tex](-2,-17)[/tex]
Answer: [tex]y=7x-3[/tex]
[tex]-17=7(-2)-3[/tex]
Step 2. Solve
[tex]-17=7(-2)-3[/tex]
[tex]-17=-14-3[/tex]
[tex]-17=-17[/tex]
Therefore, [tex](-2,-17)[/tex] is a solution to the inequality
