Answer:
x=9, y=42
Step-by-step explanation:
y=4x+6
y=6x-12
Substitute the second equation into the first:
6x-12=4x+6
Subtract 4x from both sides:
2x-12=6
Add 12 to both sides:
2x=18
Divide both sides by 2:
x=9
Plug this back into one of the equations to find y:
y=4(9)+6=36+6=42
Hope this helps!
Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).
Answer:
cos (α + β) = 0.9196Step-by-step explanation:
Given sin α = –4∕5 and sin β = 1∕2
To get α from sin α = –4∕5,
α = arcsin(-4/5)
α = arcsin (-0.8)
α = -53.13°
If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)
Similarly for sin β = 1∕2
β = arcsin(1/2)
β = arcsin(0.5)
β = 30°
Since β is in quadrant II, β = 180-30 = 150°
To find cos (α + β). where α = 233.13° and β = 30°
cos (α + β)= cos (233.13 + 150)
= cos 383.13°
cos (α + β) = 0.9196
Which point best approximates √3?
A
B
C
D
Answer:
B
Step-by-step explanation:
Square root of 3 is between 1 and 2
1^2 =1
(sqrt(3)) ^2 =3
2^2 = 4
So it must be point B
Answer:
B
Step-by-step explanation:
This tennis ball has an diameter of 2.7 inches. What is the volume of this tennis ball? Use 3.14 for π and round your answer to a whole number.
Answer:
V = 10 in^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We have the diameter
r = d/2 = 2.7/2 =1.35
V = 4/3 ( 3.14) (1.35)^3
V =10.30077
Rounding to the nearest whole number
V = 10 in^3
Answer:
10 in^3
Step-by-step explanation:
30 out of 65 students in the class are bus riders. In lowest terms,
out of
students are bus riders.
Answer:
6 out of 13 (6/13)
Step-by-step explanation:
30/65
Simplify by dividing both sides by 5
6/13
Tada!
What addition expression is shown on the
number line?
8
+
?
15
Answer:
Your answer is seven
the correct answer is 15 + 8.
Help ASAP plz will give brainliest!!!
Answer:
3/4
Step-by-step explanation:
There are 8 outcomes and 6 of them are odd.
6/8 = 3/4
Thus probability is 3/4
Answer:
3/4
Step-by-step explanation:
No. of sections = 8
No. of odd numbers = 6
Probability of getting an odd no. = 6÷8 = 3/4
A ball is thrown straight up with an initial velocity of 35.7 m/s. How long does
it take to hit the ground?
y = v₀t - gt²/2
For y=0 (back to where we started),
0 = t(v₀ - gt/2)
t=0 (which we knew) or v₀ - gt/2 = 0
v₀ = gt/2
2v₀ = gt
t = 2v₀/g
t = 2 (35.7 m/s) / (9.8 m/s/s) = 7.3 seconds
Answer: 7.3 seconds
what is the difference for -22 - (-26)
Answer:
4
Step-by-step explanation:
Sue wants 1/2 of a rectangular pan of cornbread. Dena wants 1/3 of the same pan of cornbread. How should you cat the cornbread so that each of the girls gets the size portion she wants?
Answer:
in thirds so Dena gets 1/3 and Sue gets 2/3 which is half
Step-by-step explanation:
What is the absolute value of -12 – 5?
Answer:
17
-12 - -5 = -17
-17 is 17 numbers away from 0 so 17 is the answer
Hope this helps
Step-by-step explanation:
One angle is 60 degrees, the other
is 60 degrees, What is my missing
angle? What is
my
first and
last name?
hi this is my first answer
a straight angle has 180°,
here your given angle is 60+60=120°
so your missing angle is 180-120=60°
Step-by-step explanation:
The missing angle is 60° (180 - 60 - 60=60)
Its name: equilateral triangle
2 Points
A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts
are drawn from a single deck. In order to win, the next card the player draws
from the deck must be higher than the highest card already drawn. What is
the probability that the next card the player draws is a winning card? (An ace
is considered to have a value of 1 and jacks, queens, and kings have a value
of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,
9,10,J,Q,K,
A. 25%
B. 24%
C. 32.6%
D. 8%
Answer:
C) 32.6%
Step-by-step explanation:
Given:
Total number of cards = 52
3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.
To win the next card drawn must be greater than the highest card already drawn.
Required:
Find the probability of winning
Here, the highest card already drawn is 9 of spades or 9 of hearts.
The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.
Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).
Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]
Convert to percentage:
0.326 * 100 = 32.6%
can someone please help me on this question?
Answer:
The second figure is rhombus but the first figure is square
Kevin thinks of a number. He adds 2 to the number, multiplies the result by 3,
and then subtracts 6. The number he ends up with is 27. What number did
Kevin start with?
If you work backward to solve this problem, what do you do first?
O A. Subtract 6 from 27
B. Add 6 to 27
C. Multiply 27 by 3
D. Subtract 2 from 27
Answer:
The answer is B.
Step-by-step explanation:
Mark me brainiiest.
How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?
a.
Permutation; Subscript 28 Baseline P Subscript 4 Baseline = 491,400
b.
Permutation; Subscript 24 Baseline P Subscript 4 Baseline = 255,024
c.
Combination; Subscript 28 Baseline C Subscript 4 Baseline = 20475
d.
Combination; Subscript 24 Baseline C Subscript 4 Baseline = 10626
Answer:
A)[tex]^{28}P_4}=491400[/tex]
Step-by-step explanation:
Total number of members = 28
We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members
When 1 member is selected for Chairman position
So, 27 members will be left for the selection for the position of Vice chairman
When 1 member out of 27 is selected for Vice chairman position
So,26 members will be left for the selection for the position of secretary
When 1 member out of 26 is selected for secretary position
So,25 members will be left for the selection for the position of treasurer
Permutation relates to the act of arranging all the members of a set into some sequence or order,
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.
So, we will use permutation over here
Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]
Substitute n = 28 and r = 4
So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]
So, Option A is true
A)[tex]^{28}P_4}=491400[/tex]
Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.
The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
The given parameters
Number of members = 28 Number of positions = 4Total arrangement of the different positions available[tex]nP_r =\frac{n!}{(n- r)!}[/tex]
[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]
Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
Learn more about permutation here: https://brainly.com/question/3086912
Identify the independent and dependent quantities in each problem solution then write a function to represent a problem situation :
Nathan is riding the scooter at a rate of 6 miles per hour
Answer:
independent: riding the scooter
dependent: miles ridden
function: y=6x
Step-by-step explanation:
Answer:
independent: riding the scooter
dependent: miles ridden
function: y=6x
Step-by-step explanation:
please be neat when answering
Answer:
In fig. 9, angle Y = angle 110° (vertically opposite angles )
Angle x = angle z = 180 - 110 = 70° (angles on a straight line)
In fig 10, angle y = 78°
Angle x = angle z = 180-78 = 102°
In fig 11, angle x = 83°
Angle y = angle z = 180-83 = 97°
In fig 12, angle y = 37°
Angle x = angle z = 180-37 = 143°
i really need this plz plz will mark bianleast
Point S is translated left 8, down 4.
Which is the coordinate pair for the translated point S'?
(8, 4)
(4, –1)
(–8, –4)
(–4, –1)
Answer:
(–4, –1)
Step-by-step explanation:
Since, S is translated left 8 and down 4, therefore x and y coordinates would be - 4 and - 1 respectively.
Hence, the coordinate pair for the translated point S' are (–4, –1).
Help Immediately! +10 points!
What is the surface area of the figure?
A. 12cm
B. 24cm
C. 28cm
D. 42 cm
Answer:
B: 24 cm
Step-by-step explanation:
The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)
Answer:
24 cm^2
Step-by-step explanation:
We can find the area of the figure, surface area is for three dimensional figures
The area of the triangle is
A = 1/2 bh
A = 1/2 (3) *4 = 6
The area of the top rectangle is
A = l*w = 3 * (8-4) = 3* 4 = 12
And the area of the bottom rectangle
A = l*w = 1.5 ( 8-4) = 1.5*4 =6
The total area is the sum of the individual areas
6+12+6 = 24
24 cm^2
Need help ?? Anyone?
Answer:
64
Step-by-step explanation:
When two angles are supplementary, their measures must add up to 180 degrees. Therefore:
x+y=180
x+116=180
x=180-116=64 degrees
Hope this helps!
Answer:
∠x = 64°
Step-by-step explanation:
∠x+∠y=180°
∠x+116°=180°
Subtract 116° from both sides
∠x=64°
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
Answer:
[tex]72[/tex]
Step-by-step explanation:
Jeremy is [tex]x[/tex] years-old.
Jeremy's grandfather is [tex]4x[/tex] years-old.
Adding their ages together will get [tex]90[/tex]
[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]
Jeremy's grandfather age would be:
[tex]4x\\4(18)\\72[/tex]
Answer: 72
Step-by-step explanation:
Let Jeremy age be x
Granfather' age is 4x
x + 4x = 90
5x = 90
x = 90/5 = 18
Jeremy' age is 18
Granfather age is 4x = 4*18 = 72
In which of the following equations is the distributive property correctly applied to
the equation x(y + 2) = 5?
O a) zy+22=5
16) y +2=
c) xy + 2x=52
d) 2rys=5
Answer:
None, unless c was a typo
Step-by-step explanation:
Distributing gets us xy+2x=5
None of the options is that
If you meant option c as xy+2x = 5 though, then it would be correct
find the distance between 6,-2 and 1,-2
The distance between (6,-2) and (1,-2) is 5.
Answer:
The distance:
[tex]d = 5[/tex]
Step-by-step explanation:
To find the distance between points [tex](6,-2)[/tex] and [tex](1,-2)[/tex], you need the distance formula:
[tex]d = \sqrt{(x_{2} - x_{2})^{2} + (y_{2} - y_{1})^{2}}[/tex]
-Use the given points [tex](6,-2)[/tex] and [tex](1.-2)[/tex] for the distance formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
-Then, solve the formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
[tex]d = \sqrt{(-5)^{2} + (0)^{2}}[/tex]
[tex]d = \sqrt{25 + 0^{2}}[/tex]
[tex]d = \sqrt{25 + 0}[/tex]
[tex]d = \sqrt{25}[/tex]
[tex]d = 5[/tex]
So, the distance is [tex]5[/tex].
I need help on these two questions please.
Answer:
7)x=20 8)x=19
Step-by-step explanation:
7)4x-40=2x
4x-2x=40
2x=40
x=20
8)
2x+19=3x
3x-2x=19
x=19
Match each equation to the situation it represents.
Answer:
Step-by-step explanation:
1) Kate:
Number tickets = x
Cost of 10 tickets = 10x
Parking fee = $ 5
Total money spend = $ 35
10x + 5 = 35
2)Ram:
Number of pen given to a friend =x
Number of pen given to 5 friends = 5*x = 5x
Number of pens left with him = 10
Total pens he had before giving to his friends = 35
5x + 10 = 35
Answer:
Left. Right
1. - c
2. - b
3 - a
Find the area of the following shapes:
Answer:
24 square units
Step-by-step explanation:
You apply area of a trapezium
There are 13 plates and 9 cups on a shelf in a cabinet. what is the ratio of the number of plates to the number of cups
Answer:
[tex]13 \: \: \: \: : \: \: \: \: 9[/tex]
Step-by-step explanation:
[tex]plates = 13 \\ cups = 9[/tex]
So the ratio of the number of plates to the number of cups.
[tex]plates \: \: \: \: \: : \: cups \\ \: \: \: \: \: \: \: \: 13 \: \: \: \: \: \: \: \: : \: \: 9[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?
Answer:
[tex]x=15^\circ[/tex]
Step-by-step explanation:
In a right triangle:
[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]
Therefore, given:
[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]
calculate the surface area of the following shape
1. 450cm2
2. 294cm2
3. 358cm2
4. 716cm2
Answer:
210cm2
Step-by-step explanation:
Area of rectangle: HxW
Area of Triangle: 1/2 x bx h
There are 3 rectangles with the length of 14x3
14x3x3
= 14x9
= 126cm2
There are two triangles with the height of 12 and base of 14.
1/2x 14x 12
= 1/2x 168
= 168/2
= 84cm2
Now finally add them together:
84+126
= 210cm2
ANSWER ASAP -4x-4/3=x-6
Answer:
x = 0.9333333
Step-by-step explanation:
-4x - 4/3 = x - 6 Multiply through by 3
-12x - 4 = 3x - 18 Add 12x to both sides
-12x+12x-4 = 3x+12x - 18 Combine like terms
-4 = 15x - 18 Add 18 to both sides
-4+18=15x - 18 + 18 Combine like terms
14 = 15x Divide by 15
14/15 = x
x = 0.933333
