(-3,-5) (3,5)
slope =
Answer:
[tex]m = \frac{10}{6}[/tex]
Step-by-step explanation:
Slope can be found by using the following equation. Note that [tex]m[/tex] is slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (-3 , -5)\\(x_2 , y_2) = (3 , 5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{5 - (-5)}{3 - (-3)}[/tex]
Note that when two negative signs are directly next to each other, they become a positive. Add across:
[tex]m = \frac{5 + 5}{3 + 3} = \frac{10}{6}[/tex]
[tex]m = \frac{10}{6}[/tex]
~
Someone pls help me PLSSS
A boy purchased (bought) a party-length sandwich 51 in. long. He wants to cut it into three pieces so that the middle piece is 6 in. longer than the shortest piece and the shortest piece is 9 in. shorter than the longest piece. How long should the three pieces be?
The shortest piece has a length of ______ in.
Middle piece has a length of _______ in.
Longest piece has a length of ______ in.
Answer:
Step-by-step explanation:
we have a 51 in sandwich
let a piece be x
we have x= shorter piece
another piece is x+6
another piece (x+6)-9=x-3
x+x+6+x-3=51
3x=51-3
3x=48
x=48/3=16
x=16, longer piece is 16+6=22, shorter piece =10
Satelite Corporation projects a year-end net income of $64,722. The net income represents 40% of its projected annual sales. What are Satelite's projected annual sales?
Answer:
The projected annual sales of Satelite Corporation are $ 161,805.
Step-by-step explanation:
Given that Satellite Corporation projects a year-end net income of $ 64,722, and that the net income represents 40% of its projected annual sales, to determine the amount of the projected annual sales of the company the following calculation must be performed:
40 = 64.722
100 = X
(100 x 64,722) / 40 = X
6,472,200 / 40 = X
161.805 = X
Therefore, the projected annual sales of Satelite Corporation are $ 161,805.
Evaluate the expression 4^3÷(7-3)×2
if the sides if a square are increased by 3 m, the area becomes 64 m^2. Find the length if a side if the original square
Answer:
5 m
Step-by-step explanation:
Set up an equation using the square area formula, A = s²
Let x represent the original side length:
(x + 3)² = 64
Simplify:
x² + 6x + 9 = 64
Subtract 64 from both sides:
x² + 6x - 55
Factor by finding 2 factors of -55 that add up to 6:
(x + 11)(x - 5) = 0
Solve for the 2 solutions:
x + 11 = 0
x = -11
x - 5 = 0
x = 5
The side length cannot be be negative, so the answer is 5.
The side length of the original square is 5 m.
A multiple of a number is the power of a number
Step-by-step explanation:
very unique nice speech for a number lol
Question 4 options: Solve for the value of X.
62 = 12 - 5x
Answer: The correct answer is x=-10
Step-by-step explanation:
Just took the test and saw the other persons comment<3
At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be twice as long as its width. A maximum of 150 ft of fencing is available for the border. Write and solve an inequality that describes possible widths of the garden.
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Simplify the expression.
Answer: 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
³√-6 * ³√-36
~Simplify
³√6 * ³√36
~Apply radical rule
³√6*36
³√216
~Simplify
6
Best of Luck!
help me plz urgent will give brainliest
Answer:
x = -5
Step-by-step explanation:
[character limit thing]
Step-by-step explanation: x= -5
how are you
Mark me brainliest
The equation d = 2t^ gives the distance from the start point of a toy boat that starts at rest and accelerates at 4 cm/s2. The equation d = 10t - 8 gives the distance from the start point of a second boat that starts at rest 8 cm behind the first boat and travels at a constant rate of 10 cm/s.
a) By setting the equations equal to each other, you can determine when the cars are the same distance from the start point: 2t2 = 10t - 8. Rewrite the equation so it is equal to 0 on the right hand side of the equation.
b) Factor the expression on the left side of the equation.
c) boats are the same distance from the start point at t = 1 and t = 4. Explain how the factors you found in part b were used to find these two times.
Answer:
Step-by-step explanation:
Given that:
[tex]d = 2t^2[/tex] and [tex]d = 10t - 8[/tex]
If we equate both since they are distances, we have:
[tex]2t^2 = 10t - 8[/tex]
Algebraically, moving the equation to the right side, we get:
[tex]2t^ 2 = 10t -8 \\ \\ 2t^2 -10t +8 =0[/tex]
To factor the equation on the left side:
[tex]2t^2 - 10t + 8 = 0[/tex]
Factor out 2 on the left-hand side:
[tex]2 (t^2 -5t + 4) =0[/tex]
[tex]=2 (t^2 -t-4t + 4)[/tex]
[tex]= 2[t(t-1)-4(t-1)][/tex]
[tex]=2(t-1) (t-4)[/tex]
To determine the time when the two boats have to cover an equal distance:
[tex]2(t -1)(t-4) =0 \\ \\(t-1)(t-4) =0[/tex]
Thus:
[tex]t - 1 = 0 \ or \ t - 4 = 0 \\ \\ t = 1 \ or \ t = 4[/tex]
CD, CE, DE
DE, CE, CD
CE, CD, DE
CE, DE, CD
WHICH ONE! I WILL MARK U AS BRANILYST
Answer:
The order of the sides of each triangle from shortest to longest.
CE, DE, CDStep-by-step explanation:
Given the triangle CDE
C = 60°E = 85°D = 35°We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
as
angle D=35° < angle C=60° < angle E=85°
It means:
The opposite side of the angle D is the shortest side which is CE.The second-longest side is the opposite of the angle C = 60° which is DE.The opposite side of the angle E i.e. CD is the largest side.Therefore,
angle D=35° < angle C=60° < angle E=85°
CE < DE < CD
Hence, the order of the sides of each triangle from shortest to longest.
CE, DE, CDAn experiment was conducted as a one-way factorial design with K sample means, each based on n scores. What is the number of degrees of freedom for the between mean squares
Answer:
The mean squares has d.f (n-1)
Step-by-step explanation:
The total number of degrees of freedom is n-1 as there is only one restriction of computing the grand mean. The d.f for k samples is k-1 beacuase the mean of the sample means must equal the grand mean. Similarly , the d.f for within SS is n-k , due to the k restrictions of computing the k sample means. Hence we find that
Total df= Within df + Between df
n-1= (n-k)+(k-1)
Between SS has (k-1) d.f
Within SS has (n-k) d.f
These two quantities are known as mean squares and has d.f (n-1)
Select the correct answer. log(2x-100) = 3
What is the solution to this equation?
Answer:
550
Step-by-step explanation:
Rewrite in exponential form:
10^3=2x-100
Solve for x:
1000= 2x-100
2x=1100
x=550
The solution to this equation is x =550
What is logarithm?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Given
Rewrite in exponential form:
10³=2x-100
Solve for x:
1000= 2x-100
2x=1100
x=550
To know more about logarithm refer to :
https://brainly.com/question/12049968
#SPJ2
0.512
Write
recurring as a fraction.
Give your answer in its simplest form.
Answer:
[tex]\frac{64}{125} [/tex]
Step-by-step explanation:
[tex]0.512 = \frac{512}{1000} \\ = \frac{128}{250} \\ = \frac{64}{125} [/tex]
A train is pulling 14 cars. Each car can hold 17 boxes of freight. There are 94 boxes in the cars already. How many more boxes can the train hold? Please help I need answers FAST
Answer:
Each pull cart can hold 5 9/17
I think...
Step-by-step explanation:
Answer:
It can hold 144 more boxes
Step-by-step explanation:
17*14=238
238-94=144 boxes
What is the difference between a whole number and an integer
Answer:
A whole number is anything from 0 to infinity.
However, an integer is the same thing but it can also be negative
Step-by-step explanation:
Round 18.367 to the nearest hundredth
Answer:
Round 18.367 to the nearest Hundredth
= 18.37
Step-by-step explanation:
Hope that helps
Toby bought 8 hotdogs and 5 fries. It cost $34.00
Bernie bought 2 hotdogs and 6 fries. It cost $18.00
What is the cost of one hotdog and the cost of one order of fries?
Students, draw anywhere on this slide!
Peor Decanteractive
Answer:
Each hot dog = $3
Each french fry = $2
Step-by-step explanation:
First, lets define our variables:
x = Hotdog
y = fries
Next, you need to set up a cost equation for both Toby and Bernie:
8x + 5y = 34
2x + 6y = 18
Now, we need to isolate one of the variable:
2x + 6y = 18
2x = 18 - 6y
x = 9 - 3y
Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):
8x +5y = 34
8 (9-3y) + 5y = 34
72 - 24y + 5y = 34
72 - 19y = 34
19y = 38
y or fries = $2
Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:
2x + 6y = 18
2x + 6(2) = 18
2x + 12 = 18
2x = 6
x or hotdog = $3
I hope this helps!
-TheBusinessMan
the volume of a hot air balloon is given by V-
Jack needs 22 pirate for every two pirate ships he Manages
Answer:
Hi there! There is only one part of a question. I‘m not sure how to help you...
Sorry! Have a good day/night!
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
$323
Step-by-step explanation:
The bank collected [tex]8\frac{1}{2}[/tex]% on the date of maturity , that represents
[tex]8\frac{1}{2} =\frac{17}{2} =8.5[/tex]
Thus,the bank obtained
[tex]3800.0.085=323[/tex]
The main paid $323 for the use of the money!
PLEASE MARK ME AS BRAINLIEST
Mr. Mackar's soccer team is having a car wash to raise money for new uniforms. c stands for how many cars are washed and F(c) stands for how much money they raise. If each car washed cost $5.00, answer the following question: Write it in function notation
Answer:
Step-by-step explanation:
F(c) = 5c
Francine has a collection of 25 dolls. If 12% of the dolls are Monster High dolls, how many of the dolls are not Monster High Explain your answer?
9514 1404 393
Answer:
22
Step-by-step explanation:
The number of Monster High dolls is ...
12% × 25 = 3 . . . dolls
The others are not Monster High dolls. Their number is ...
25 -3 = 22 . . . not Monster High dolls
Graph a line that contains the point (-2,7) and has a slope of 4.
Plz help plzzz
Answer:
The line would be (-2,7) through (-1, 11 )
Step-by-step explanation:
You have to increase y by 4 and x by 1 to make the slope 4/1 or 4.
Write the expression nine divided by the quantity of x plus y
9514 1404 393
Answer:
[tex]\text{A)}\quad\dfrac{9}{x+y}[/tex]
Step-by-step explanation:
In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...
[tex]\dfrac{9}{x+y}[/tex]
When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:
9/(x+y)
These expressions match the first choice, A.
Please help marking the smartest answer
In the following equation f(n) = 2n + 3, what value represents the growth?
Answer:
3 represent growth it is the ans of this qn
Step-by-step explanation:
bcz 3 is increasing eqn by 3
It is believed that 36% of the US population has never been married, 32% are divorced, 27% are married, and 5% are widowed. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference
Answer: the smallest number of people required for the sample to meet the conditions for performing inference is 100
Step-by-step explanation:
Given that;
36% of US population has never been married
32% are divorced
27% are married
5% are widowed
Taking a simple random sample of individuals to test this claim;
we need expected count in each cell to be at least 5, here the smallest proportion is 5% = 0.05
so we only need to satisfy condition for its expected count;
n × 0.05 ≥ 5
n = 5 / 0.05 = 100
Therefore the smallest number of people required for the sample to meet the conditions for performing inference is 100