The slope can be found with two sets of points
The points can be any points, but in this case I choose the point (-1,10) and (1,2)
Slope = [tex]\frac{y2-y1}{x2-x1} =\frac{10-2}{-1-1} =\frac{8}{-2} =-4[/tex]
The slope of the line that contains these points is -4.
Hope that helps!
Solve for p.
p-3.1/6.7 = 4.5/5
Answer:
[tex]5x - 15.5 = 6.7 \times 4.5 \\ 5x = 30.15 - 15.5 \\ 5x = 14.65 \\ 2 .93[/tex]
A builder buys some new tools for his business costing £1200. The store offers 5% trade discount. How much do the new tools cost after the discount?
Answer:
£1140
Solving steps:
Question: A builder buys some new tools for his business costing £1200. The store offers 5% trade discount. How much do the new tools cost after the discount?
Find: How much do the new tools cost after the discount?
Solution:
Step 1: find the value of the percentage
=> £1200 × 5/100
=> 1200/1 × 5/100
cancel the 0 of the denominators of 100 and 1200
=> [tex] \frac{12}{1} \times \frac{5}{1} [/tex]
=> [tex] \frac{60}{1} [/tex]
=> [tex]60[/tex]
Step 2: Substract the value which is 60 to 1200
=> 1200 - 60
Substract 60 from 1200
=> 1140
therefore after discount it cost £1140
Mr. Tan's rectangular swimming pool has an area of (81x2 - 144y2) square feet. What are the dimensions of his pool?
Answer:
The pool dimensions are thus (9x - 12y)(9x + 12y)
Step-by-step explanation:
(81x^2 - 144y^2) is the difference of two squares. Note that you must indicate exponentiation with " ^ ."
Factoring the difference of two squares: a^2 - b^2 = (a - b)(a + b)
Thus, (81x^2 - 144y^2) =
The pool dimensions are thus (9x - 12y)(9x + 12y)
Area of rectangle is Length times of Breadth. The pool dimensions are (9x - 12y) and (9x + 12y) when area of rectangular swimming pool is (81x2 - 144y2)
area of Mr. Tan's rectangular swimming pool is (81x^2 - 144y^2), we need to find the area of rectangle.
What is area of rectangle?Area of rectangle= Length*Breadth
The given area of Mr. Tan's rectangular swimming pool is (81x^2 - 144y^2),
(81x^2 - 144y^2)=Length * Breadth
We know that (a+b)(a-b)=a^2-b^2
So,
The factors of (9x^2-12y^2) is (9x+12y) and (9x-12y)
(9x^2-12y^2)=(9x+12y)(9x-12y)
=Length * Breadth
where length and breadth are two dimensions of rectangle
Therefore (9x+12y) and (9x-12y) are two dimensions of rectangle.
To learn more on area of rectangle click here:https://brainly.com/question/20693059
#SPJ2
What should be added to 4c (– a + b + c) to obtain
3a (a + b + c) – 2b(a – b + c)?
Step-by-step explanation:
here hope it is helpful
the writing is not mine so yeah
A hummingbird lives in a nest that is 7 meters high in a tree. The hummingbird flies 10 meters to get from its nest to a flower on the ground. How far is the flower from the base of the tree? If necessary, round to the nearest tenth.
Answer:
3 meters
Step-by-step explanation:
if the nest is 7 meters up bit the bird flew 10 meters u subtract 10-7 and get 3 meters
please help me guys
Step-by-step explanation:
midpoint : it is the point in the middle marking half of the total distance.
therefore,
1)
EV = LE = LV/2
10 = 5m
m = 2
2)
LR = RO = LO/2
n + 4 = 12
n = 8
3)
LER and LVO are similar triangles. that means they have the same angles, and the ratio of one corresponding pair of lines or sides between both triangles is the same for all corresponding line pairs.
we know e.g. LE/LV = 1/2.
the same ratio applies then to ER/VO = 1/2 = 18/20p.
18/20p = 1/2
18 = 20p/2
2×18 = 20p
36 = 20p
p = 36/20 = 9/5 = 1.88888888888...
4)
VL = 2×EL = 2×10 = 20
5)
LO = 2×RO = 2×12 = 24
6)
as we have already calculated for 3) :
VO = 36
7)
36 + 20 + 24 = 80
8)
10 + 12 + 18 = 40
9)
remember, the and angles in similar triangles.
LVO = 52°
10)
all angles around a single point in one side of a line are together 180°.
in this case there are 2 angles around E : LER and VER.
VER = 180 - LER = 180 - 52 = 128°
Step-by-step explanation:
please mark me as brainlist please
Pls help me on this problem I’m confused
1 cup = 8 ounces
64 ÷ 8 = 8
he adds two sets of 8 cups of grape juice so 16 total
20 cups of ginger ale + 16 cups of grape juice
36 cups total
Answer:
36 cups
Step-by-step explanation:
8 oz = 1 cup
64 oz / 8 oz = 8 cups
8 cups + 8 cups (due to 2 bottles of 64 oz)
16 cups+ 20 cups
36 cups
-2(1-8r)=-82
Can you give me the answer please
Answer:
[tex]r = - 5[/tex]
Step-by-step explanation:
[tex] - 2(1 - 8r) = - 82 \\ - 2 + 16r = - 82 \\ 16r = - 80 \\ \frac{16r}{16} = \frac{ - 80}{16} \\ r = - 5[/tex]
What single percentage change is equivalent to a 12% increase followed by a 14% decrease?
Answer:
3.68% decrease
Step-by-step explanation:
12% increase = 112% of the original value
112% as a decimal = 112/100 = 1.12
14% decrease = 100% - 14% = 86% of the original value
86% as a decimal = 86/100 = 0.86
Therefore, if you increase the number n by 12% and then decrease by 14%:
n × 1.12 × 0.86 = n × 0.9632
0.9632 as a percentage = 0.9632 × 100 = 96.32%
Therefore, the overall percentage change is 100% - 96.32% = 3.68% decrease
If you earn $12 an hour and you work 40 hours a week, how much do you earn
a month? APEX
Answer:
160
Step-by-step explanation:
there are 4 weeks in a month and 40 * 4 is 160
(2x-45)
nearpod is very difficult for me, my apologies
The graph of a linear relationship passes through (0, 3), and (3,9). Which is an
equation for this linear relationship? *
Answer:
C y=2x+3
Step-by-step explanation:
Answer:
C y=2x+3
Step-by-step explanation:
A triangle has side lengths of 7 and 14.
Select all of the possible lengths for the third side.
7
12
14
17
Answer:
12
14
17
Step-by-step explanation:
The rule with the sides of a triangle is whenever two sides add up it has to be greater than the third side.
For example: 17+7 = 24 , 24 >14, AND 14+17 = 31, 31<7 so 17 is a possible side for the triangle.
HOPE THIS HELPS :)
At a basketball game, 13% were supporting the visiting team. If 3045 people attending supported the home team, what was the total number of people attending the game?
Answer:
3500
Step-by-step explanation:
13% - 100% = 87
(3045 x 100) divided by 87 = 3500 people
The total number of people attending the game will be 3500.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
At a basketball game, 13% were supporting the opposing group. On the off chance that 3045 individuals going to uphold the host group.
The percentage of supporting the home team will be given as,
⇒ 100% - 13%
⇒ 87%
The total number of people attending the game will be given as,
⇒ 3045 / 87%
⇒ 3045 / 0.87
⇒ 3500
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
how do u work out 11x=24+8x
Answer:
x = 8
Step-by-step explanation:
First: Subtract 8x from both sides
You will be left with 3x = 24
then divide 3 from both sodes
you will be left with x=8
which eqaution dosen't belong
Answer:
you need more info please
Step-by-step explanation:
Identify the factors of 4x2 20x 25. (4x 5)(x 5) (4x − 5)(x − 5) (2x 5)(2x 5) (2x − 5)(2x − 5).
The factors of the quadratic equation are (2x + 5)(2x + 5).
What are factors?
If (x – α) is the common factor of the given quadratic equations then, x = α becomes the root of the corresponding equation.
Given
The quadratic equation is;
[tex]\rm 4x^2+20x+25\\\\[/tex]
The factors of the equation are;
[tex]\rm 4x^2+20x+25\\\\4x^2+ 10x+10x+25\\\\ 2x(2x+5)+5(2x+5)\\\\(2x + 5)(2x + 5)[/tex]
Hence, the factors of the quadratic equation are (2x + 5)(2x + 5).
To know more about factors click the link given below.
https://brainly.com/question/17166485
A softball team hopes to win at least 3 games
for every 2 lost during the season. If there are
45 games scheduled, how many games can the
team lose and still achieve its goal?
Answer:
y=27
x=18
Step-by-step explanation:
x-games won
y-games lost
x+y=45
3x=2y
x=45-y
3(45-y)=2y
135-3y=2y
135=3y+2y
135=5y
y=27
x=(45-27)
x=18
Simplify the expression:
9-3(5-4x)= ______
Use distributive property
_________________________
Please help ASAP-due tonight. I would be so grateful!
Answer:
[tex]\boxed{\sf{-6+12x}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
9-3(5-4x)
-3(5-4x)
Expand by multiplying.
-3*5=-15
-3*4x=12x
Rewrite the problem down.
-15+12x
9-15+12x
Solve with a order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtractFirst, subtract.
9-15=-6
Rewrite the problem down.
= -6x+12
Therefore, the correct answer is -6x+12.I hope this helps you! Let me know if my answer is wrong or not.
HI will someone please help
Answer:
it would be 90, if you add 60 and 30 together you get 90! :')
Step-by-step explanation:
What is the measure of DA? (in a parallelogram)
Answer:
DA = 24
Step-by-step explanation:
the opposite sides of a parallelogram are congruent , then
CD = BA , that is
5x - 18 = 2x + 12 ( subtract 2x from both sides )
3x - 18 = 12 ( add 18 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
CB = 3x - 6 = 3(10) - 6 = 30 - 6 = 24
so
DA = CB = 24
Four boys and five girls enter a contest at a local sports venue. A randomly chosen winner will be awarded a free ticket to a sporting event, a free T-shirt, a free water bottle, or a free autographed poster. What is the probability that a boy will win a free T-shirt
Answer:
4/9 or 45%
Step-by-step explanation:
There are 9 people in total, 4 boys so its 4/9, or 0.44444(repeating)
Round up to get 45%.
Answer:
4/9
Step-by-step explanation:
What are the solutions for the equation 2cos0+1=0 ?
Answer:
2cos0=-1
cos0=-1/2
proved
please check my answer. and if its wrong please tell me the correct answer and the way to do it..
I think it is none of the above, I am not sure though.
I am getting the answer= 15%
Since:
Total no. of students= 20
No. of students skateboarding= 3
Percentage= 3/20 X 100
= 15%
To go to the dog beach, it costs $3 plus $2 per dog l. Which equation shows this situation, where x represents the number of dogs?
Answer:
the equation would look like x = 2x + 3
Step-by-step explanation:
Answer:
y=2x=3
Step-by-step explanation:
Pls help! I'm offering 20 points!
Answer:
Step-by-step explanation:
10x1
15x2
8x3
Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work is shown below.
Step 1: Negative 2 = 3 (5) + b
Step 2: negative 2 = 15 + b
Step 3: Negative 2 + 15 = 15 + 15 + b
Step 4: Negative 13 = b
Step 5: y = 3x – 13
Analyze the steps. In which step did the Jolon make an error?
He switched the x- and y- values in step 1.
He multiplied incorrectly in step 2.
He added 15 to both sides in step 3.
He forgot to add the b-value in step 5.
Answer:
c
Step-by-step explanation:
Jack and Jill each planted flowers in their garden. Jack spent $41 on 4 daylilies and 7 roses Jill spent
$81 on 12 daylilies and 7 roses.
How much do the daylilies cost?
How much do the roses cost?
Jack and Jill added tulips to their garden. Jack added 10 tulips to bring his total to $51. Jill added 8 tulips
to her garden to bring her total to $89. Their friend Tanya also decided to plant a garden. She spent $71
on 4 daylilies, 14 roses, and 9 tulips.
How much to tulips cost?
Answer:
the daylilies cost: $5
The roses cost:$3
The tulips cost:$1
Step-by-step explanation:
what is the point slope form of (2,-6) , (4,0)
If a snail moves 1 1/2 feet in 3 3/4 hours, what is its speed in feet per hour? Show you
simplify your answer.
Answer:
2/5 feet an hour
Step-by-step explanation:
d=vt
1 1/2 or (3/2)=v(3.75hours or 15/4)
divide both sides by 3.75hours
0.4f/h=velocity/speed
or in fractions 2/5
The speed of the snail in feet per hour will be 0.40 feet per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
If a snail moves 1 1/2 feet in 3 3/4 hours.
Convert the mixed fraction number into a decimal number. Then we have
1 1/2 feet = 1 + 0.5 = 1.5 feet
3 3/4 hours = 3 + 0.75 = 3.75 hours
Then the speed of the snail in feet per hour will be given as,
S = 1.50 / 3.75
S = 0.40 feet per hour
The speed of the snail in feet per hour will be 0.40 feet per hour.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ5