Answer:
x = -2, y = 3
Step-by-step explanation:
2x + 3y = 5
5x - 2y = -16
In order to find the value of a variable, we must eliminate the other variable by multiplying the equations to get the same coefficient.
We can multiply the first equation by 5 and the second one by 2 to get the same coefficient for x, the equations then become:
10x + 15y = 25
10x - 4y = -32
Now we can subtract:
19y = 57
y = 3
Since we know the value of y, we can substitute it into one of the original equations:
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2
A basketball coach recorded how many shots each of the 30 players at tryouts made in a set of 6 attempts.
Answer:
Step-by-step explanation:
what is the question?
Answer:
Median = A
Mean = B
Step-by-step explanation:
Khan Academy
In a market survey, 100 traders sell fruits, 40 sell apples, 46 oranges, 50 mangoes. 14 apples and oranges. 15 apples and mangoes, and 10 sell the three fruits. Each of the 100 traders sells at least one of the three fruits. Find the number that sell oranges and mangoes only.
The number of traders that sell oranges and mangoes only are 17.
How to determine the common differenceSince there are three sets, use the formula
n (A∪O∪M) = n(A) + n(O) + n(M) - n(A∩O) -n(O∩M) - n(A∩M) + n(A∩O∩M)
A represents apple traders = 40
O represents orange traders = 46
M represents mangoes traders = 50
A∪O∪M = total traders = 100
A∩O = 14
O∩M = ?
A∩M = 15
A∩O∩M = 10
Substitute values into the formula
100 = 40 + 46 + 50 - 14 - 15 - O∩M + 10
100 = 146 - 29 - O∩M
100 = 117 - O∩M
Make O∩M subject of formula
- O∩M = 100 -117
O∩M = 17 traders
Therefore, the number of traders that sell oranges and mangoes only are 17.
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Which if the following rules best describes the matrix below?
a.
dilation of scale factor 2
c. reflection over the line y = x
b. reflection over the y-axis
d. translation 1 unit left and 1 unit up
Answer:
D
Step-by-step explanation:
i just know i guess
How many solutions for x does the following equation have?
3(x + 8) − 1 = 3x + 4
A.
4
B.
1
C.
0
D.
infinite
Answer:
c. 0
Step-by-step explanation:
3(x+8) - 1 = 3x+4
3x+24-1 = 3x+4
3x+23 = 3x+4
There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.
The graph of g(x), shown below in red, has the same shape as the graph of
f(x) = 2x, shown in blue. Which of the following is the equation for g(x)?
A. g(x) = 2(x-1) - 3
B. g(x) = 2(x+3) - 1
C. g(x) = 2(x-3) -1
D. g(x) = 2(x+1) - 3
Jerry plans to keep up this saving pattern until he can no longer afford it. At that time he hopes to have enough in his account for his trip. How much will be in the account, after making the down payment, if the most he will be able to contribute in a month is $1,200?
= 1/2 (u+v)t
Where s is the distance traveled by an object (in meters) with an initial velocity u (in m/s) and final velocity (in m/s).
seconds later.
Find s when u is 8 m/s, vis 12 m/s, and t is 5 seconds.
A. 50 m
B. 78 m
C. 100 m
D. 156 m
The distance travelled by an object is 50 m.
What is Distance?The distance between two points is the length of the path connecting them.
Here, given equation of distance
S = 1/2 (u + v)t
Where s is the distance traveled by an object (in meters)
initial velocity u (in m/s)
final velocity v (in m/s).
t in seconds.
Now, given values are;
u = 8 m/s ; v = 12 m/s ; t = 5 sec.
S = 1/2 (8 + 12)5
S = 1/2 (20)5
S = 100/2
S = 50 m.
Thus, the distance travelled by an object is 50 m.
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A regular polygon has 18 sides.
What is the size of each of its interior angles?
Give your answer in degrees (º).
Answer:
160 degrees.
Step-by-step explanation: The interior angle of a polygon formula. S=(n-2) x 180/n. The equation would look like p=(18-2) x 180/18=160.
You just looked at the graph of this system of equations. Why will the lines never intersect? y = –x + 5 y = –x – 3
Answer: same slope, y int are different
Step-by-step explanation:
Both these lines never intersect because they have the same slope.
they both go down 1 over 1, and also their y interecepts are different
2. On the snow day, 8 kids from the neighbor-
hood gathered to build snowmen. The kids
used two buttons as the eyes on each snowman.
7 more kids joined to make snowmen and used
buttons for the eyes, too. How many buttons
were used to make the snowmen?
Answer: 30 buttons
Step-by-step explanation:
If there were 8 kids, and 7 more joined, then there were 15 kids making snowmen (8+7 = 15). Each child used 2 buttons for the eyes, so 30 buttons were used (15 x2 = 30). This is assuming no other buttons were used on the snowmen for anything else
4
Find the measure of x.
X
12°
X = = [?]
Round to the nearest hundredth.
The measure of x will be 18.81 units.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
The given information are;
Perpendicular = 4
Base = x
Then, Tan ∅ = Perpendicular /Base
Tan 12 = 4/x
x = 4 /0.212
x = 18.818
Hence, the measure of x will be 18.81 units.
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A boat travels 333 km in 7 hours with a constant speed how far can it travel in 6 hours with the same speed
Answer:
258 km
Step-by-step explanation:
We can calculate the speed of the boat with (333km/7 hours) = 47.57 km/hr.
Assuming the same speed, the boat would travel (47.57 km/hr)*(6 hr) = 258 km
If the means of 5,11,6,4,7,p and 10 is 8,find the value of p.
Answer:
p = 13
Step-by-step explanation:
The mean of 5, 11, 6, 4, 7, 10, p is 8
So 8 = 5+11+6+4+7+10+p divided by 7.
So 56 = 43+p
Therefore p = 56-43
= 13
Hope I helped
⇒ 5 + 11 + 6 + 4 + 7 + p + 10 / 7 = 8
⇒ 43 + p = 56
⇒ p = 13
The value of p is 13.
can someone please help and explain its due in a littleee
Answer:
slope = 3
y-intercept: -4
explanation on how to graph given in step-by-step explanation
Step-by-step explanation:
y=3x-4 is given in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept (when x = 0)
So the first coordinate that is easy to graph is the y-intercept since it's just (0, b) or in this case (0, -4). So that's the first point you graph. Now from here you can use the slope to graph all the other points. The slope is 3, which essentially means every time x increases by 1, the y-value increases by 3. So from the y-intercept (0, -4) you're going to go one unit to the right and three units up which should give you the coordinates (1, -1). Then from that coordinate go one unit to the right and three units up which should get you (2, 2) then from that coordinate go one unit to the right and three units up which should get you to (3, 5). Now go back the y-intercept (0, -4) and instead of going to the right 1 and up 3 you're going to do the inverse and instead go left 1 and down 3. So from (0, -4) go to the left one unit and down 3 units which should get you to (-1, -7). And now with all these points plotted draw a line through all of them
Sara can travel 23 feet in 11 hours. Please calculate Sara's rate of speed. (round to 2 decimal places)
Answer:
12 is the answer
Step-by-step explanation:
FIRST do 23 - 11 and you will find your answer
help me out asap!please and thank you
Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
I will give brainiest to the first person who responds BUT only if the answer is correct
Answer:
70 cm2??
Step-by-step explanation:
The area of the rectangle: 50 cm2
The area of the triangle: About 20 cm2
50 cm2 + 20 cm2 +
Please I need help with this question asap
For the matrix given , the element a₂₃ is the number at 2nd row and 3 column ,which is 6 , Option B is the correct answer.
What is a Matrix ?It is a table or a rectangular array of numbers or expressions arranged in rows and columns ,
For a Matrix of m x n , m is the no. of rows and n is the no. of column
For the matrix given the element a₂₃ is the number at 2nd row and 3 column ,
which is 6 ,
Therefore Option B is the correct answer.
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A laptop costs £600
Students get a 5% discount.
How much discount will a student get?
Answer:
cost price = £ 600
discount = 5%
selling price =
5/100 * 600.
5 * 6
30 £
price = 600 - 30
= 570
its math can you help out
Answer:
81
Step-by-step explanation:
27 people will tell 3 people each. 3x27=81
Answer:
81
Step-by-step explanation:
he given line passes through the points and (4, 1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?
The equation of the line that passes through the point (-4 , 3) with slope ₋2 is:
y = ₋2x ₋ 5
Given the points are (₋4 , ₋3) and (4 , 1)
The gradient of the line through the points' locations (x₁ , y₁) and (x₂ , y₂) is: y₂ ₋ y₁/x₂ ₋ x₁
Substitute the given points in the above formula:
=1 ₋(₋3)/4 ₋ (₋4)
=4/8
=1/2
If the product of the slopes of two perpendicular lines is -1, then the slope of the perpendicular line is ₋1/1/2 = ₋2
Therefore the line that passes through the point (-4 , 3) with slope ₋2 has equation:
y ₋ 3 = ₋2(x ₊ 4)
y = ₋2x ₋ 8 ₊ 3
y = ₋2x ₋ 5
Hence we get the expression as y = ₋2x ₋ 5
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On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2
How to compare the areas?The coordinates are given as:
Parallelogram 1: (0, 2), (2, 6), (6, 4), and (4, 0).
Parallelogram 2: (2, 0), (4, -6), (2, -8), and (0, -2)
Next, calculate the base and the height
For parallelogram 1, we have:
Base = (0, 2) and (2, 6)
Height = (6, 4), and (4, 0).
So, we have:
[tex]Base = \sqrt{(0 - 2)^2 + (2 -6)^2} = \sqrt{20}[/tex]
[tex]Height = \sqrt{(6 - 4)^2 + (4 -0)^2} = \sqrt{20}[/tex]
The area is:
Area = Base * Height
Area = √20 * √20
Area = 20
For parallelogram 2, we have:
Base = (0, -2) and (4, -6)
Height = (4, -6) and (2, -8)
So, we have:
[tex]Base = \sqrt{(0 -4)^2 + (-2 +6)^2} = \sqrt{32}[/tex]
[tex]Height = \sqrt{(4 - 2)^2 + (-6 +8)^2} = \sqrt{8}[/tex]
The area is:
Area = Base * Height
Area = √32 * √8
Area = 16
By comparing both areas, we have:
20 is greater than 16 by 4
This means that the area of parallelogram 1 is greater by 4 units
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Which of them factored 12x^7 correctly?
area = ft
help me please ty:)
find the length using the Pythagorean theorem.
Length = sqrt(20^2 - 12^2)
Length = 16 feet
area = 12 x 16 = 192 square feet
Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix? $
Answer:
$24
Step-by-step explanation:
Cranberries needed: 1 pound
Cost of 1 pound = $4
Almonds needed: 4 pound
Cost of 1 pound = $5
4 x 5 = $20
20 + 4 = $24
Answer:
4.80
Step-by-step explanation:
120 is the product of 8 and Julie's score.
Answer:
Julie's score is 15.
Step-by-step explanation:
This can be solved in two ways:
⇒ 120 ÷ 8
⇒ Experimentation on what × 8 = 120 (adding random numbers until you get 120 as a product).
Let's use the first method.
⇒ 120 ÷ 8
1 5
__________
8 | 1 2 0
- 8
____
4 0
- 4 0
____
0
Therefore, Julie's score is 15.
if 17 is 32 than what does 17+17+17+17+17=?
Answer:
The answer is 160
Step-by-step explanation:
Comment
There really should be no answer to this. It sort of destroys the meaning of equality. However, you might be working in different bases. I'll assume that, but the base will be a fraction, which brings up other problems.
Solution
You have 5 17s there. So you will need five 32s. 5 * 32 = 160
The answer is 160
Which point is on the graph of f(x) = 3.4x
Answer:
D(1,12)
Step-by-step explanation:
See attached graph.
Which expression is equivalent to 4 √10 ?
(૧/x
0 x ²
022
○ +³² (+ √/x)
0 +5
Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW
4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.
Complete the two-column proof.
edge 2022 pls helpppppp
We have proven that line TU is parallel to line VW as shown below. That is, TU || VW
Proof of anglesFrom the question, we are to prove that TU || VW
In the given image,
Statements Reasons
1. ST || UV Given
2. ∠T ≅ ∠U Alternate angles
3. ∠T ≅ ∠V Given
4. ∠U≅ ∠V Substitution property
5. TU || VW Alternate interior angles theorem
NOTE: If the alternate interior angles formed by a transversal of two lines are equal, then the lines are parallel
Hence, we have proven that line TU is parallel to line VW. That is, TU || VW
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Answer:
a c c
Step-by-step explanation:
