Answer:
k = 10Step-by-step explanation:
Use the first two points to get a formula of the line E(5, 12), F(-1, 8)
y = mx + b is the slope-intercept formulam is found using two points as:
m = (y₂ - y₁)/(x₂ - x₁) m = (8 - 12)/(-1 -5) = -4/-6 = 2/3The formula becomes:
y = 2/3x + bThen we find the value of b using one of the points. Let's use point E(5, 12)
12 = 2/3*5 + b12 = 10/3 + bb = 12 - 10/3 = 26/3So the formula now is:
y = 2/3x + 26/3To find the missing coordinate we substitute x with 2 and y with k:
k = 2/3*2 + 26/3 = 4/3 + 26/3 = 30/3= 10k = 10Answer:
k = 10
Hope it helped:D
7. Find the value of:
a) The number when 40% of the number is 10
Step 1) Set up a proportion
Proportion: percent / 100 = x / number
In context of the problem, the proportion is: 40 / 100 = 10 / number
Step 2) Cross-multiply and solve
100 x 10 = 40 x N
1000 = 40N
N = 25
Answer: The number is 25
Answer:
25Step-by-step explanation:
Let the unknown number be x
[tex]40 \% \times x = 10 \\ \frac{40x}{100} = \frac{10}{1} [/tex]
Cross Multiply
[tex]40x = 100 \times 10 \\ 40x = 1000[/tex]
Divide both sides of the equation by 40
[tex] \frac{40x}{40} = \frac{1000}{40} [/tex]
Simplify
[tex]x = 25[/tex]
Evaluate the expression when y=-3.
y2 + 6y +8
The value of algebraic expression [tex]y^2+6y+8[/tex] at y = -3 is -1.
An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.
In the given question,
algebraic expression = [tex]y^2+6y+8[/tex]
the value of the algebraic expression at y = -3
[tex]= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1[/tex]
Learn more about algebraic expression here
https://brainly.com/question/28884894
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Which point lies to the right of y-axis?
(a) (0, 3) (b) (-2,-1) (c) (3, 5) (d) (-3,-2)
Answer: C
Step-by-step explanation:
Nigel has 3/4 of a chocolate candy bar that he wants to share equally among his friends Cameron, Devin, and Tyrek. How much will
Cameron receive of the candy bar?
Your answer:
Answer:
3/4 divided 4=16 or 0.1875
Step-by-step explanation:
3/4 divided by 4 is easy all you would do is multiply the bottom number by what you are trying to divide which is 4 so you do 4x4 which is 16
Write an expression equivalent to 6x+3y-4x+2
Answer:
10x+3y+2
Step-by-step explanation:
What is the value of (3^6)^3
Answer:
3^18
Step-by-step explanation:
[tex](3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(3^6\right)^3=3^{6\times\:3}\\\\=3^{6\times\:3}\\\\=3^{18}\\\\=387420489[/tex]
Malcom has $638.54 in his checking account he must maintain a $500 balance to avoid a fee he wrote a check for $159.50 today write and solve an inequality to solve for the least amount of money he needs to avoid a fee
Answer:
$20.96
Step-by-step explanation:
He has $638.54 in his account and writes a check for $159.50. The amount of money he needs to stay at or above $500 is denoted by x.
638.54 - 159.50 + x >= 500
After writing a check, Malcom has $479.04 left in his account, which is below his cutoff.
479.04 + x >= 500
He must add at least x amount of dollars to his account to avoid a fee.
x >= 20.96
In order to avoid a fee, Malcom must add a minimum of $20.96 to his account.
1. 3x²y2 + 3x y2 + 5xy
Degree:
(Fill in the blank with monomial, binomial, or trinomial)
Answer:
Answer is trinomial
Step-by-step explanation:
degree:3x^2 y2 +3xy2 + 5xy
=the degree of first term = 4
= the degree of second term=3
= the degree of third term = 3
:. the degree = 4
the answer is 4
The triangle on the right is scaled copy of the triangle on the left identified the scale factor
Answer:
is there supposed to be a picture with it? i can't solve it without more information. sorry
Given Q is between J and K, JQ is five times the length of JK and JK=42 find the length of JQ
Answer:
210
Step-by-step explanation:
JQ is 5 times the length of JK
● JQ = 5JK
JK = 42
● JQ = 5 × 42
● JQ = 210
The distance an object travels is determined by how fast it goes and for how long it moves. If an object’s speed remains constant, the formula is d=r*t , where d is the distance, r is the speed, and t is the time. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? a. 200 miles b. 10 miles c. 250 miles d. 300 miles Please select the best answer from the choices provided A B C D
Answer:
d = r * t
r = 50 mph
this will be very easy.
d = r * t
r = 50 mph
t = 5 hours
d = 250 miles
In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.t = 5 hours
d = 250 miles
In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.
Answer:
250
Step-by-step explanation:
4. Consider the following graph.
Part A: Plot two points to form a square in the above graph. Label the points R and
S. A square is a quadrilateral with all four sides of the same length. After
plotting the points, trace the square by connecting the points.
Part B: To find the perimeter of a polygon, take the sum of the length of each side.
What is the perimeter of the square that you created in Part A Round your
answer to two decimal places.
29.12 is the perimeter.
Find the domain and range of each relation (use interval notation). Then determine if each relation is one-to-one.
Answer:
Domain: -2, 1
Range: -2, -4, 1
Step-by-step explanation:
A Domain is the first coordinate which is x
The Range is the second coordinate which is y
Hope This Helps :)
A
B
What is the domain and range?
Answer:
the domain is 5 and the range is 10
Step-by-step explanation:
Which point could represent 5 3 ?
Answer:
the answer is c
Step-by-step explanation:
i just finished the lesson
Answer:
c
Step-by-step explanation:
12 POINTS TO THE BRAINLIEST ANSWER!!!! PLEASE HELP!! Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences. PLEASE ANSWER ALL QUESTIONS
Answer:
yes Dan and Tess have enough money because the price is 22.9075 after discount
Step-by-step explanation:
the original price of the book=24.50
the price of the book with taxes : 24.5+(24.5*10 %)=26.95 Dollars
the price for the students is : 24.50-(24.5*15%)=20.825
the price to students +tax= 20.825+(20.825*10%)= 22.9075
See what Tess did:she took 15 % from original price :24.50-(24.5*15%)=20.825
she took 10 % of discounted price :20.825.50*10%= 1.04125
adds it back to find the purchase amount:1.04125+20.825=21.86625
what Dan did:Dan takes 85% of the normal purchase price: 24.50*85%= 20.825
then compute 110% to the discounted price: 20.825*110%=22.9075
Dan is right, he will pay 22.9075 which is actually the price that the student pay for the book after the discount. what Tess is that she calculated the tax before discount, she has to calculate the tax after discount.
find the dimension of the missing side of a triangle given the following measurements: A=75 sq. ft, b=15 ft, h=?
Answer:
h = 10 ft
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh
Here A = 75 and b = 15, thus
[tex]\frac{1}{2}[/tex] × 15h = 75 ( multiply both sides by 2 to clear the fraction )
15h = 150 ( divide both sides by 15 )
h = 10
A scale drawing of a living room is shown below 5.5 inches and 3 inches scale 1:30 what is the area of the actual living room? Round your answer to the nearest whole number
Answer:
14850 inches
Step-by-step explanation:
The complete question is...
A scale drawing of a living room is shown below:
A rectangle is shown. The length of the rectangle is labeled 5.5 inches. The width of the rectangle is labeled 3 inches. The scale is 1 to 30.
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
The ratio of the scale = 1:30
This means that the dimensions of the drawing has been reduced to 1/30 of the actual building's dimensions.
We first scale up the drawing to 30 times to get the dimensions of the actual building.
The length on the drawing = 5.5 inches
The real length of the actual building = 5.5 x 30 = 165 inches
The width of the drawing = 3 inches
The width of the actual building = 3 x 30 = 90 inches
The area of the actual building = length x width
==> 165 x 90 = 14850 inches
Stickers come in packs of 5. Max buys 12 packs. He gave his three friends some stickers. They each receive the same number. He has 27 stickers left. How many stickers did max give each of his friends?
Answer: 11 stickers each
Step-by-step explanation:
given data:
packs of stickers bought by mark = 12 ( 5 ) = 60 stickers
no of stickers left with mark = 27
= Total no of stickers – stickers remaining with mark
= 60 – 27
= 33 stickers
he gave his 3 friends equal number of stickers.
3x = 33
x = 11
number of stickers received by each friend is 11
Solve for b.
y = mx + b
Answer:
b = y - mx
Step-by-step explanation:
So we are trying to solve for b in the equation y = mx + b. To do this, we will have to somehow get the b by itself on one side and all of the non-b parts of the equation on the other side.
y = mx + b
Subtract mx from both sides.
y - mx = b
b = y - mx
So we have not solved for b. We have found that b = y - mx.
I hope you find my answer and explanation helpful. Happy studying. :)
what is the value of the expression....!?
Answer:
your answer is correct
hii anyone mind helping me with this question :D
Answer:
0.0045
Step-by-step explanation:
:)
24 A rectangle is cut along its diagonal. The measure of ZA is 55°.
What is the measure of ZB?
B
A
F
F
125°
G 105°
H 45°
35°
Answer: 35
Step-by-step explanation: add the angles which is 90 and 55. then subtract it from 180. sorry for my bad english, it’s not my first language.
-1/2(3x-4)+3x=5/6
Please help
Answer:
x = -7/9
Step-by-step explanation:
The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.
6(-1/2(3x -4) +3x) = 6(5/6)
-9x +12 +18x = 5 . . . . . . . . . simplify
9x = -7 . . . . . . . . . . . . . . . . . subtract 12
x = -7/9 . . . . . .divide by 9
__
Another way to do this is to eliminate parentheses first.
-3/2x +2 +3x = 5/6
3/2x = -7/6 . . . . . . . . . collect terms, subtract 2
x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3
What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.
Answer:
The answer is
12.8 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
B (4, 6) and K (–6, –2)
The distance is
[tex] |BK| = \sqrt{ ({4 + 6})^{2} + ({6 + 2})^{2} } \\ = \sqrt{ {10}^{2} + {8}^{2} } \: \: \: \: \: \: \: \: \: \\ = \sqrt{100 + 64} \: \: \: \: \: \: \: \: \: \\ = \sqrt{164} \\ = 2 \sqrt{41} \\ = 12.80[/tex]
We have the final answer as
12.8 to the nearest tenthHope this helps you
Find the GCF of 38, 76, and 114.
GCF = 38
Step-by-step explanation:38 = 2×19
76 = 4×19 = 2²×19
114 = 2×3×19
GCF = 2×19 = 38
THESE ARE DUE TODAY PLEASE HELP!
Answer:
24. a. perimeter=6x-6 or 6(x-1) b. area=2x²+x-28
25. -5x² and 2x are not like terms so you cannot combine them.
Step-by-step explanation:
24. a. perimeter:
add up each side:
(2x-7)+(2x-7)+(x+4)+(x+4)= 6x-6 or 6(x-1)
b. area:
F.O.I.L.:
(2x-7)(x+4)=2x²+8x-7x-28
2x²+x-28
Helo please I need help
Answer:
9:16
Step-by-step explanation:
In a similar rectangle , the ratio of lengths should be equal to ratio of widths.
Ratio of lengths =
[tex] \frac{length \: of \: rectangle \: 1}{length \: of \: rectangle \: 2} = \frac{3}{4} [/tex]
Hence , Ratio of widths =
[tex] \frac{width \: of \: rectangle \: 1}{width \: of \: rectangle \: 2} = \frac{3}{4} [/tex]
Area of rectangle 1 = Length 1 × Width 1 = 3×3 = 9
Area of rectangle 2= Length 2 × Width 2= 4×4= 16
Ratio of areas of both rectangles =
[tex] \frac{area \: of \: rectangle \: 1}{area \: of \: rectangle \: 2 \: } = \: \frac{9}{16} [/tex]
What is the value of the expression below when x
6 and y = 10?
10x - 5y
Answer: 10
Step-by-step explanation: Because 10times X when X=6 is 60 then 5 times Y when Y=10 makes it 50 then subtract the two numbers
60-50=10
I need help pleaseee I don’t understand how to do this
Answer:
-1x/-5y=-1.5
Step-by-step explanation:
when you enter the values into the graph, you get the slope. then divide the total by 5 and you get the correct answer.