Answer:
Step-by-step explanation:
3 x 2 = 6
Matt can make 6 different outfits with these clothes.
What are the Combinations?Combinations are the procedures used in mathematics to pick k things from n different items without replacement.
The following formula computes the combinations of k items from n:
(n, k) = n! / k!×(n-k)!
Given that Matt has 3 different colored T-shirts and 2 different colored shorts.
Matt can make 3 x 2 = 6 different outfits with these clothes.
This is because for each T-shirt color, he has 2 options for shorts, and he has 3 different T-shirt colors.
So for each T-shirt color, the number of outfit combinations is 2. And since he has 3 T-shirt colors, the total number of outfits is 3 x 2 = 6.
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Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0
Answer:
+3,+4,+5,+6,-20
Step-by-step explanation:
its:
2+3=5
5+4=9
9+5=14
14+6=20
20- 20=0
i believe so
Solve for x
[tex]\frac{x}{7}[/tex] − [tex]\frac{x}{9}[/tex] =−1
Answer:
[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]
Step-by-step explanation:
[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]
Lets take the L.C.M of 7 & 9.
L.C.M of 7 & 9 = 63
[tex] = > \frac{9x - 7x}{63} = - 1[/tex]
[tex] = > \frac{2x}{ 63} = - 1[/tex]
Now lets multiply 63 on both the sides.
[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]
[tex] = > 2x = - 63[/tex]
Now lets divide both the sides by 2.
[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]
[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]
6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]
= 2025 + 1225 - 3150 (0)
= 3250
x = [tex]\sqrt{3250}[/tex]
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.
Solve for x, please!
Answer:
45
Step-by-step explanation:
Answer:
30 + 70 + 2x-10=180
90+2x=180
2x=180-90
x=90/2
x=45
X=45
Hope it helps
What is the missing value of 5x-2y=30 (8,)
Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?
5/7 = 35 kg
1/7 = 7 kg
Peter weighs 49 kg
49 - 8 = 41 kg
Ailen weighs 41 kg
49 + 41 = 90kg
Their total weight is 90 kg
PLEASE HELP THIS IS DUE TODAY!!
Answer:
254 in
Step-by-step explanation:
1 yard = 36 in
7 yards = 36 (7)
7 yards = 252
add 2
254 in
:)
Answer: 254 inches
Step-by-step explanation:
1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?
Sara buys a sweater at a department store. The sweater costs $3030. The store is having a 2525% off sale on everything in the store.
Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.
Answer:
25% of 3030 is 757.5, so basically she is saving 757.5 dollars
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation:
graph the equation...
0.5s+4a=15
Answer: look at the picture if you want me to solve for s or a here
Step-by-step explanation: hope this help
Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!
Answer:
Step-by-step explanation:
LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)
Divide by Numerator and Denominator by Cos9°
LHS = (1 + Tan9°) / (1 - Tan9°)
= (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)
= Tan (45°+9°)
= Tan 54°
= Cot 36°
hope it helps :)
A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader
Answer:
1/2
Step-by-step explanation:
12 out of 24 is 1/2
Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.
Answer:
y - 8 = (-1/27)(x + 3)
Step-by-step explanation:
the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27. Using the point-slope form y - k =m(x - h) to write the new equation, we get:
y - 8 = (-1/27)(x + 3)
Lines De and AB are parallel.
D
C
E
B
А
Which angles represent alternate interior angles?
angles A and C
angles B and D
angles C, D, and E
angles B and C
Answer:
option 2
angles B and D are the alternate interior angles
lines DE and AB being parallel lines and and line BC being the transversal
Answer:
The answer is B and D
Step-by-step explanation:
Confirmed
Select all that apply.
Which of the following are proportions?
Answer:
A, C and D
Step-by-step explanation:
both A, C and D are both porportions because they both equal the other fraction.
Answer:
1, 3, 4
Step-by-step explanation:
i had this on my test- im doing it rn.
if m=4,then what two numbers can m equal?
1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to show Mike's age and Kellie's age in different years. compete the table to show Mike's age and Kellie's age in different years.
The table be like
Mike age kellie age
10 14
15 19
20 24
25 29
Calculation of the ages:Since Mike's sister, Kellie, is 4 years older than he is
And, Let m be Mike's age and let k be Kellie's age.
So here the equation be like
k = m + 4
Based on this we can compute the ages and fill the table
learn more about table here: https://brainly.com/question/16299322
Finding which number supports the idea that the rational numbers are dense in the real numbers?
Answer:
an integer between –11 and –10
a whole number between 1 and 2
a terminating decimal between –3.14 and –3.15
Step-by-step explanation:
Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.
Equation: y=
Answer:
step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.
step 2. parallel lines have the same slope so the slope is -4.
step 3. y - (-5) = -4(x - (-4)).
step 4. y + 5 = -4x - 16.
step 5. y = -4x - 21.
Solve the following:
4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2
Answer:
1. =−8
2. =4x^6−5x^5+2
Step-by-step explanation:
happy to help ya :)
Need help please hurry
9514 1404 393
Answer:
x = 20°
Step-by-step explanation:
For questions like this, it is helpful to remember that an exterior angle is equal to the sum of the remote interior angles.
110° = 2x + 70°
40° = 2x
20° = x
_____
Similarly, ...
y = x + 70° = 20° +70°
y = 90°
Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)
In the figure shown below, line “m” and line “n” are parallel what is the value of x?
Answer:
x = 20°
Step-by-step explanation:
3x - 10° + 5x + 30° = 180° { being co-interior angles }
8x + 20 ° = 180°
8x = 180° - 20°
8x = 160°
x = 160° / 8
x = 20°
PLz help I will give brainliest!!!!! and extra points
Hey there!
The answer to your question is [tex]95.55[/tex]
Formulas:
Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]
Area of rectangle = [tex]lw[/tex]
Area of triangle = [tex]\frac{bh}{2}[/tex]
Now solve:
semi-circle
[tex]\frac{1}{2}\pi3^2[/tex]
[tex]\frac{1}{2}\pi9[/tex]
[tex]4.5\pi[/tex]
(We will use 3.14 as approx. for pi)
[tex]4.5 * 3.14\\23.55[/tex]
rectangle
[tex]10(6)\\60[/tex]
triangle
[tex]\frac{4(6)}{2}[/tex]
[tex]\frac{24}{2} \\12[/tex]
Now add them all together:
[tex]23.55+60+12\\95.55[/tex]
Have a terrificly amazing day!
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°What is the square root of -1
A. -i
B. i
C. -1
D.1
Answer:
its i
Step-by-step explanation:
Square root of the positive value of 1 is either a positive value of 1 or negative value of 1.1 x 1 = 1 and -1 x -1 = 1.
Which equation represents circle A?
(x – 4)2 + (y + 5)2 = 12
(x + 4)2 + (y – 5)2 = 12
(x – 4)2 + (y + 5)2 = 36
(x + 4)2 + (y – 5)2 = 36
Answer:
c on edge
Step-by-step explanation:
just took the quiz
The equation representing the circle A is (x – 4)² + (y + 5)² = 36.
What is circle?A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.
The general equation of circle is given by equation
( x - h )² + ( y - k )² = r²
Where, ( h, k ) is the centre and 'r' is the radius.
As, the circle has a shift of 4 units on the +x axis.
The circle has a shift of the 5 units on the -y axis.
As, the circle has a radius of 6 units from the graph.
So, (h,k) = (4, -5).
Substitute the values of (h,k) in the general equation of the circle.
( x - 4 )² + ( y - (-5) )² = 6²
( x - 4 )² + ( y + 5 )² = 36
Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.
To know more about the general form of equation of circle, here
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I need help please will mark you as brainliest
Answer:
178 correct problems
Step-by-step explanation:
turn the percentage into a decimal (0.89) and multiply it by the number of questions
Answer: 178
Step-by-step explanation:
89% x 200. Change percent to decimal by moving the decimal to the left two places.
.89 x 200 = 178
What is the slope of the line?
Answer:
2
Step-by-step explanation:
from (0,1) to (1,3)
is up 2 over 1
2/1=2
hope this helps!