Answer:
C
Step-by-step explanation:
The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.
Answer:
L=25.25 in
W= 6.75in
Step-by-step explanation:
Step one
Given data
Let the width be x
W= x
and length
L= 3x+5
Perimeter= 64 in
Step two:
we want to find the dimension of the rectangle
We know that perimeter is
P= 2W+2L
64= 2*x+2*(3x+5)
64= 2x+6x+10
collect like terms
64-10=8x
54= 8x
divide both sides by 8
x= 54/8
x= 6.75in
We know that the length is
L= 3x+5
L= 3*6.75+5
L= 20.25+5
L=25.25 in
The pizza shop down the street offers a special of a large pizza with 3 toppings. The choices of toppings
are pepperoni, sausage, ham, pineapple, cheese, onions, green peppers, hot peppers, mushrooms, and
anchovies.
How many ways can you arrange 3 toppings out of 10 toppings on a pizza?
Answer:
120 ways
Step-by-step explanation:
To solve this question, we would be using the law of combination.
In combination, we say that
nCr = n! / (n - r)! r!, where both r and n are integers.
Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have
10C3 = 10! / (10 - 3)! 3!
10C3 = 10! / 7! 3!
10C3 = 3628800 / 5040 * 6
10C3 = 3628800 / 30240
10C3 = 120
Therefore, the toppings can be arranged in 120 ways.
Leave a like if it helped you, please
Multiply. Express your answer in simplest form.
Answer:
Bet
Step-by-step explanation:
It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?
Answer:
[tex]\displaystyle d = 34[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
CoordinatesAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, -13)
Point (-1, 21)
Step 2: Find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex](Parenthesis) Add: [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex][√Radical] Simplify: [tex]\displaystyle d = \sqrt{(34)^2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 34[/tex]Pls help I’ll brainlest
Answer:
-2.1y + 12.9
Step-by-step explanation:
Answer:
12.9-2.1y
Step-by-step explanation:
Use the distributive property to multiply −0.5 by 12y−9.
8.4+3.9y−6y+4.5
Combine 3.9y and −6y to get −2.1y.
8.4−2.1y+4.5
Add 8.4 and 4.5 to get 12.9.
12.9−2.1y
what is one-fourth of 24
Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
Answer:
6...? I don't know why you are doing first grade math again...
Step-by-step explanation:
Plzzz help me be serious plzz
Please answer will give brainliest to the best answer please make sure to explain!
10. The Johnson family purchased a new television that had a 62 inch diagonal. The height of the television was 30 inches. Approximately how wide is the new television? show work
Answer:
Width = 54.3 inches
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
Width² + Height² = Diagonal²
From the above question
Width= ??
Height = 30 inches
Diagonal = 62 inches
Width² + 30² = 62²
Width² = 62² - 30²
Width = √62² - 30²
Width =✓2944
Width = 54.258639865 inches
Approximately
Width = 54.3 inches
Hence, the new television was 54.3 inches wide.
Solve 3x − 5y = 17
9x − 15y = −4
Answer:
3x - 5y = 17
3(9) - 5(2) = 17
27 - 10 = 17
x = 9
y = 2
---------------------
9x - 15y = -4
I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.
The length of a room is 7.25 feet longer than the width, x, of the room. Which expression represents the perimeter of the room?
Answer:
P = 14.5+4x
Step-by-step explanation:
Let the width of the room is x.
Length = 7.25 feet longer than the width = 7.25 +x
We need to find an expression the represents the perimeter of the room.
Perimeter = sum of all sides
P = 2(l+b)
l is length and b is width
P = 2(7.25 +x+x)
=2(7.25 +2x)
=14.5+4x
Hence, the required expression for the perimeter is 14.5+4x.
Kevin Durant's free throw
percentage is about 88%. If he
shoots 75 free throws at
practice, how many would you
expect him to make?
Answer:
66
Step-by-step explanation:
88% of 75
66
Onii-Chan help me whit 5-8
Find one pair of prime numbers whose product is an even number.
Answer:
I think it's 1 and two for example 2 times 7 is 14
Step-by-step explanation:
Answer:
2 and 3.
Step-by-step explanation:
To get a product of an even number, you have to either multiply two even numbers together or multiply an even number and an odd number together.
There is only one even prime number- 2.
Therefore, you can have any pair of prime numbers that, when multiplied together, get an even number as long as one of those numbers is 2.
2 and 3 work, as well as 2 and 5. The list goes on and on. Just choose a random prime number (that's not 2) and pair it with 2. It is guaranteed that when you multiply those two numbers together, you will get an even number.
Pls help urgently extra points and mark brainlist
Answer:
2
Step-by-step explanation:
2 x 2 = 4
4x2 is 8
8x2 = 16
16x2= 32
And then 32 x 2 = 64
Answer:
2
Step-by-step explanation:
multiply down
The sum of the interior of the triangle equal 180
Answer:
Angle5=angle1Angle6=angle3angle1+angle2+angle3 = 180° (Angle on a. straight line)angle2+angle5+angle6 = 180° (ASP)Maria is making cookies that require 4/3 cups of flour. She has 1 2/3 cups of flour. How much sugar will she have left after making the cookies?
Answer:
1/3
Step-by-step explanation:
4/3=1 1/3
1 2/3 - 1 1/3= 1/3
Hope this helps!
What is the rate of change And initial value for the linear relationship that includes the points shown in the table
Answer:
Multiply them and then add them altogether
so
Step-by-step explanation:
2x3=6
4x5=20
6x7=42
8x9=72
6+20+42+72= 140
6+20=26
26+42=68
68+72= 140
how many 1/3's are in 3
Answer:
9
Step-by-step explanation:
1/3 times9=3
Passes through (-4,-5) Slope = -314
Please Helppppp!!!!!!!!!!!!
Answer:
[tex]y=-314x-1261[/tex]
Step-by-step explanation:
When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.
[tex]y=mx+b\\-5=-314(-4)+b[/tex]
Now we solve
[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]
So now that we know everything we need we plug in and....
[tex]y=mx+b\\y=-314x-1261[/tex]
we've got our equation!
Answer:
The line slants upward, so the slope is positive.
who want's to do my homework? :D Also this might get deleted cause brainly is out to get me D:
Simplify the following rational expression. Use absolute value symbols when needed.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
1. [tex]\sqrt[3]{\frac{8}{216} }[/tex]
2. [tex]\sqrt[3]{\frac{1}{27} }[/tex]
3. [tex](\frac{1}{27})^{\frac{1}{3} }[/tex]
3. Since [tex](\frac{1}{3}^{3})[/tex] is [tex]\frac{1}{27}[/tex], the answer should be [tex]\frac{1}{3}[/tex].
Question 1 (3 points)
(6.03)
Which expression shows a sum of three terms? (3 points)
O a
x3
3 + x + 3
Ob
ос
3x
Od
3(x + 3)
Answer:
more context please:)
Step-by-step explanation:
Answer:
3 + x + 3
Step-by-step explanation:
Hope it helps!
Solve.
X = -7
4x - 4y = 12
Submit
Answer:
Point Form:
( − 7 , − 10 )
Equation Form:
x = − 7, y = − 10
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
y = -10
Step-by-step explanation:
4x - 4y = 12
Substitute the x with -7, since it has been given.
4(-7) - 4y = 12
-28 - 4y = 12
Add 28 onto both sides
-28 + 28 - 4y = 12 + 28
-4y = 40
Divide by -4 to isolate the variable
-4y/-4 = 40/-4
y = - 10
Check:
Substitute the y and x
4x - 4y = 12
4(-7) - 4 ( -10 ) = 12
-28 + 40 = 12
12 = 12
or.....
try to see if x stays as -7
4x - 4y = 12
4x - 4 (-10) = 12
4x + 40 = 12
Subtract 40 onto both sides
4x + 40 - 40 = 12 - 40
4x = -28
Divide by 4 onto both sides to isolate the variable
4x/4 = -28/4
x = -7
And it's correct
Hope this helped!
Find the gradient of the line segment between the points (1,-2) and (-2,10).
Given:
A line segment is between the points (1,-2) and (-2,10).
To find:
The gradient of the given line segment.
Solution:
We know that gradient of the given line segment means slope of the line segment.
The line segment between the points (1,-2) and (-2,10). So, slope of the line segment is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]
[tex]m=\dfrac{10+2}{-3}[/tex]
[tex]m=\dfrac{12}{-3}[/tex]
[tex]m=-4[/tex]
Therefore, the gradient of the given line segment is -4.
Evaluate 16/9 -2/9
4 2/3
2 2/3
1 5/9
2 4/9
Answer: C, 1 5/9
Step-by-step explanation:
16/9 - 2\9
= 14/9
= 14 ÷ 9
= 14/9 = 1 5/9
= 16/9 ÷ 2/9= 1 5/9
For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!
Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
Find the value of x.
B
92
A
1019
68
D
X=
Answer:
Step-by-step explanation:
Can someone help me find the perimeter of this
Answer:
Perimeter is 60.4 + 4x
Step-by-step explanation:
12.2 + 12.2 + 4(x+9)
= 24.4 + 4x + 36
= 60.4 + 4x
Answer:
2/5 • (151 + 10x )
Step-by-step explanation:
(This is going to be a long one so i apologize in advance)
First, you need to simplify the equation you're given for this particular shape by collecting terms and calculating the sums:
12.2 + x + 9 + x + 9 + 12.2 + x + 9 + x + 9
61/5 + x + 9 + x + 9 + 61/5 + x + 9 + x + 9
122/5 + 4x + 36
2/5 • (61 + 5 • 2x + 5 • 18)
2/5 • (61 + 10x + 90)
2/5 • (151 + 10x )
PLease ANSER ASASP!!!!!!!!!!!!
Sovle the problem
7 ( x + 4 ) = -21
what is x?
Answer:
X = -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
I am super confused
.....................
Answer:
B is the answer
Step-by-step explanation: