Answer:
Elimination and y=4 x=6
Step-by-step explanation:
x-3y=-14
x-y=-2
substution method
Answer:
(4, 6 )
Step-by-step explanation:
x - 3y = - 14 ( add 3y to both sides )
x = - 14 + 3y → (1)
x - y = - 2 → (2)
Substitute x = - 14 + 3y into (2)
- 14 + 3y - y = - 2
- 14 + 2y = - 2 ( add 14 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
Substitute y = 6 into (1)
x = - 14 + 3(6) = - 14 + 18 = 4
solution is (4, 6 )
Help !! I don’t understand
Answer: .8, -.9, -.5, .9 (estimates)
Step-by-step explanation: correlation coefficients are between -1.0 and 1.0.
-1.0 means a perfectly negative correlation, which will be a straight line going down from left to right
0 means no correlation, it's just random points on the graph with no sense of direction or relationship
1.0 means a perfectly positive correlation, which will be a straight line going up from left to right
the more line-like the shape the data points make are, the further away the correlation coefficient is from 0. you can tell if it's negaitive or positive from the direction of the line.
Your parents gave you $50 to take your brother and sister to the movies. Your ticket cost $8.25 and your siblings cost $4.25. If you spent an additional $20 on soda and popcorn, how much money did you bring home with you?
$50
$13.25
$39.75
$10.25
A car agency shows a new car with a price of AED 45,000. The company predicted that the cost of the
car would depreciate 10% each year for three years and then depreciate 8% each year after that. Find
the value of the vehicle in 8 years.
HELP ME PLSSS
Answer:
$8640
Step-by-step explanation:
Step 1:
The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.
3 × 45,000 = 135,000
The price then decreases by 10%. So, find 10% of 135,000
[tex]10\% = \frac{10}{100}[/tex]
[tex]135000=\frac{135000}{1}[/tex]
[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]
Cross cancel the zeros
[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]
Multiply across
[tex]10\times1350 = 13500[/tex]
Therefore, for the three years, the cars price is now $13,500.
Step 2:
The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.
8 × 13,500 = 108,000
Now, find 8% of 108,000
[tex]8\% = \frac{8}{100}[/tex]
[tex]108000=\frac{108000}{1}[/tex]
[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]
Cross cancel the zeros
[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]
Multiply across
[tex]8\times1080 = 8640[/tex]
Therefore, the value of the vehicle in 8 years is $8640.
A jar contains 35 coins made up of 20c and 50c coins only. Then total value of the coins is
$13.90.
(I) If there were x 20c coins, write an equation in x for the number of 50c coins.
(ii) Using the given information, write an equation in terms of x for the total sum of money
the jar holds.
(iii) Solve the equation to find the number of each type of coin in the jar.
There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.
Let x represent the number of 20 cent ($0.2) coins
i) Since there are 35 coins in total:
Number of 50 cent coins = 35 - x
ii) The total value of the coins is $13.90. Hence:
0.2x + 0.5(35 - x) = 13.90
iii) 0.2x + 17.5 - 0.5x = 13.90
0.3x = 3.6
x = 12
Number of 50 cent coin = 35 - x = 35 - 12 = 23
Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.
Find out more at: https://brainly.com/question/21105092
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3
(2, [?]); ( ), ( )
Given that
[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]
Answer:
(2, - 3 ) and (3, - 3 )
Step-by-step explanation:
f(x) = x² - 5x + 3 and f(x) = - 3 , then equating
x² - 5x + 3 = - 3 ( add 3 to both sides )
x² - 5x + 6 = 0 ← in standard form
(x - 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 3 = 0 ⇒ x = 3
solutions are (2, - 3 ) and (3, - 3 )
Which statement is a true conditional with a converse that is also true?
If an angle measures more than 90 degrees, then the angle is obtuse.
If x = 4, then x2 = 16.
If a figure is a square, then it is a quadrilateral.
If two angles are complementary, then the angles have a sum of 180 degrees.
Three bowls of frozen yogurt cost 8.25. At the same rate how much do 9 bowls of frozen yogurt cost.
Answer:
$24.75
Step-by-step explanation:
$8.25 is for 3. So triple that cost gets you $24.75
please help!! thanks!
Answer:
A.) Yes
Step-by-step explanation:
Plug in (3,2) into both equations ....
2(3) - 3(2) = 0
2(3) + 2 = 8
Then solve ....
2(3) - 3(2) = 0
6 - 6 = 0
0 = 0
2(3) + 2 = 8
6 + 2 = 8
8 = 8
Since both equation are true the solution (3,2) is true
Write a two paragraph summary of what you are learning in your current math class.
Answer:
what are you even learning?
Answer:
what is your topic in math class..?
6m in the ratio 7:3:5
Step-by-step explanation:
which one of the 3 categories represent the 6m ?
the 7 ? the 3 ? or the 5 ?
I suspect it is the 3 (the middle), because it is the only one working with 6 using only integer numbers.
you really have to be more careful about putting all relevant information here for a question.
so,
in general, we see that a "whole" set of distance types has 7 + 3 + 5 = 15 parts (in our case equally long distance segments).
the length of the first type (whatever it is) is 7 parts of the whole 15 parts. = 7/15
the length of the second type is 3 parts of the whole 15 parts (and we suspect this type to be 6m). = 3/15
and the length of the third type is 5 parts of the whole 15 parts. = 5/15
since we now know (or rather assume) that 6m = 3 parts, we can then calculate that 1 part of the 15 is 6/3=2m.
aha !
so then 7 parts are 2×7 = 14m.
and 5 parts are 2×5 = 10m
I guess that's what you needed to find, right ?
just to practice : what would it be, if 6m stands for the 7 ?
we still have the 15 parts of the whole.
but now 7 parts stand for 6m.
1 part is then 6/7m.
3 parts would then be 3×6/7 = 18/7m
5 parts would be 5×6/7 = 30/7m
you see now, why I think the 6m were meant for the 3 part category ?
Combine Like Terms:
7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard
Answer:
11M + 2X + 8
Step-by-step explanation:
Hope this helps!! :))
Answer:
11M + 2x + 8
I did the math
it rights tho
9.
3
Here is a recipe for making 10 chocolate chip cookies.
Chocolate Chip Cookies
Makes 10 cookies.
100 g of flour
60 g of sugar
50 g of margarine
40 g of chocolate chips
g
2 eggs
Work out the amounts needed to make 15 chocolate chip cookies.
Answer:
you will half the recipe, so
50g flour
30g sugar
25g margarine
20g chocolate chips
1 egg
then add together. recipe for 15 cookies will be;
150g flour
90g sugar
75g margarine
60gr chocolate chips
3 eggs
Matthew's bedroom has an area of 72 square feet. The bedroom is 8 times as many square feet as Matthew's closet. If the closet is 3 feet wide, what is the length of the closet?
Answer:
3
Step-by-step explanation:
72÷8=9
3×y=9
3=y
I hope this helps
write an quadratic equation with the x-intercepts of (0,0) and (16,0)
Answer:
y = x^2 - 16x
Step-by-step explanation:
The given roots are x = {0, 16}
y = (x - 0)(x - 16)
y = x(x - 16)
y = x^2 - 16x
Factorise fully
gcse maths
please help
Answer:
Step-by-step explanation:
Numbers: HCF of 18 and 30
18: 2 * 3 * 3
30:2 * 3 * 5
HCF: 2 and 3 = 6
a: a * a and a.
HCF = a
b: b
c: c and c*c
HCF: C
Answer: 6*a*b*c(3a + 5*c)
Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.
Evaluate each question below
Answer:
b=29 a=5.5 n=-13 r=12
Step-by-step explanation:
a: 5+8(4)=5+24=29
b: 3-5(-0.5)=3+2.5=5.5
c: 2(-2)^2-5=2(-4)-5=-8-5=-13
d= -3(-1-3)=-3(-4)=12
substitute the variable with the number and pedmas
variable is the letters in the equation: y=5+8x
the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20
Answer:
y = (1/8)x
Step-by-step explanation:
The relevant basic formula is y = kx, where k is the constant of proportionality.
We must find k. To do this, let y = 15/6 and x = 20 in the above formula:
15/6 = k(20)
We solve for k by dividing both sides by 20: 15/(6*20) = k = 1/8
Then the specific formula for this situation is y = (1/8)x
Find x and y.
Answer:
x = 36°y = 48°Step-by-step explanation:
Given:
ΔABC ≅ ΔFDEWe can tell that y = 48° because ΔABC ≅ ΔFDE. We can also tell that ∠DEF = 108 because ΔABC ≅ ΔFDE.Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.
ΔABC = 108 + 48 + ∠CAB = 180°
=> 156 + ∠CAB = 180°
=> ∠CAB = 24°
=> 48 + 108 + 2x - 48 = 180°
=> 108 + 2x = 180°
=> 2x = 72°
=> x = 36°
So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.
Answer: x=36, y=48
Step-by-step explanation:
The sum of the angles in a triangle is 180. From triangle ABC we see that:
108 + 48 + Z = 180, where Z is the unknown third angle.
156 + Z = 180
Z= 24 (angle CAB).
Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48). Thus,
y = 48
we can also say that angle CAB is the same as angle DFE:
24 = (2x-y)
24=2x-48
72=2x
x=36
f(x)={x+4….
for f(x)
Answer:
x+4 x<5
8 5<_x<7
2x -1 7<_x<_10
I need help with Goemetry. Can you help me with this?
Thank you.
Answer:
1) (4,5.5) which is (4, 5 [tex]\frac{1}{2}[/tex])
Step-by-step explanation:
Graph it do the equation, (mx2+nx1 divided by m+n , my2+ny1 divided by m+n )
m being 1 and n being 5. Plug in the points and you get the answer to be, (4,5.5). So the answer is 1)
Use the pattern in the sequence to determine the next two terms.
-16, 8, -4, 2. . .
Answer:
-1 , 1/2
Step-by-step explanation:
Each term is obtained by dividing by (-2)
-16/-2 = 8
So, the next two terms are:
2/-2 = -1
-1/-2 = 1/2
Identify the slope and y-intercept of the
equation 2x + 5y = 20
Answer:
Slope = - ⅖
Y-intercept = (0, 4), where b = 4
Step-by-step explanation:
Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:
Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.
Subtract 2x from both sides:
2x -2x + 5y = - 2x + 20
5y = -2x + 20
Divide both sides by 5 to isolate y:
[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]
y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4. The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).
rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than she did before the 10% increase was added
Answer:
£134.2 more
Step-by-step explanation:
Divide 1342 by 100
Then you get 13.42
Times that by 10 and £134.2 is 10%
What is the area of this tile? in. in? 4 in. I in.
Answer:
1*4 = 4 in^2
Step-by-step explanation:
The area for this shape is calculated by multiplying width and length:
1*4 = 4 in^2
A simple random sample of 30 students was selected from a normally distributed population of high school students. The following confidence intervals were calculated at 90, 95, and 99% confidence levels to estimate the average number of hours of sleep the students got each night. Determine which confidence level goes with each confidence interval. Between 7. 3 and 8. 7 hours of sleep: Between 7. 0 and 9. 0 hours of sleep: Between 7. 2 and 8. 8 hours of sleep:.
Answer:
between 7.0 and 9.0 hours of sleep
Step-by-step explanation:
got it right
5 - 6 - 9 - 8 - 5 - 4 + 5 - 5 -5 -5 - 32 = ?
5 - 6 = -1
-1 - 9 = -10
-10 - 8 = -18
-18 - 5 = -23
-23 - 4 = -27
-27 + 5 = -22
-22 - 5 = -27
-27 -5 = -32
-32 -5 = -37
-37 - 32 = -69
Answer = -69
which algebraic expression represents the total area of a cube each dimension of which is 1.5x
Answer:
okkkkkkkķkkkkkkkkkkkkk
Answer:
Step 1: Remove parentheses by multiplying factors.
= (x * x) + (1 * x) + (2 * x) + (2 * 1)
Step 2: Combine like terms by adding coefficients.
(x * x) = x2
(1 * x) = 1x
(2* x) = 2x
Step 3: Combine the constants.
(2 * 1) = 2
Step 4: Therefore, Simplifying Algebraic Expression is solved as
= x2 + 3x + 2.
Step-by-step explanation:
A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. ... In 3 – dimension, the cube's sides are; the length, width, and height.
What is a set builder notation
Answer:
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.
Step-by-step explanation:
For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.
Answer:
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.
Step-by-step explanation:
No Explanation
what is the probability that a tabby is chosen as the second kitten when a black kitten was chosen as the first