Answers
Answer:
a. 1 b. 3/5 or 60%
Step-by-step explanation:
number of favourable events/number of total events
3x/5x = 3/5
Related Questions
945/7 i dont know it is confused
Answers
Answer:
135
Step-by-step explanation:
We have been given the equation 945 ÷ 7. Seven goes into 9 one time. 9 minus 7 equals 2. Now drag down the four, 7 goes into 24, three times. 24 minus 21 equals 3. Drag down the five. 7 goes into 35 perfectly 5 times. Please mark me as brainliest. :)
A transformation of ASTV results in AUTV.
т
Which transformation maps the pre-image to the image?
dilation
reflection
un
rotation
th
translation
Answers
Answer: Reflection
Step-by-step explanation:
After reflection it maps the pre-image to the image.
What is mean by Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
A transformation of ΔSTV results in ΔUTV.
Now, We can see the image of triangles,
After reflection it maps the pre-image to the image.
Thus, The correct transformation which maps the pre-image to the image is, Reflection.
Learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ7
Explain how the Quotient of Powers Property was used to simplify this expression.
three to the fourth power all over nine equals three squared
By simplifying 9 to 32 to make both powers base three and adding the exponents
By simplifying 9 to 32 to make both powers base three and subtracting the exponents
By finding the quotient of the bases to be one third and simplifying the expression
By finding the quotient of the bases to be one third and cancelling common factors
Answers
Answer:
The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.
Step-by-step explanation:
You have to make the expressions into the same base :
[tex] \frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} } [/tex]
Next, you have to apply Indices Law :
[tex] {a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n} [/tex]
[tex] {3}^{4} \div {3}^{2} [/tex]
[tex] = {3}^{4 - 2} [/tex]
[tex] = {3}^{2} [/tex]
By simplifying 9 to 3² to make both the powers base 3 as well as subtracting the exponents. A further explanation of the given question is below.
According to the question,
The equation will be:
→ [tex]\frac{(3)^4}{9} = \frac{(3)^4}{(3)^2}[/tex]
By applying the Indices law i.e.,
→ [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
then, we get
→ [tex]\frac{3^4}{3^2}[/tex]
→ [tex]3^{4-2}[/tex]
By subtracting the powers, we get
→ [tex]3^2[/tex]
Thus the above answer i.e., option B) is the correct approach.
Learn more:
https://brainly.com/question/19660607
(x+y)^2 (x2+2xy+y2) pleas show all work
Answers
Answer:
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
Step-by-step explanation:
1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x
2
+2xy+y
2
)(x
2
+2xy+y
2
)
2 Expand by distributing sum groups.
{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
2
(x
2
+2xy+y
2
)+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
3 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
4 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
(x
2
+2xy+y
2
)
5 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
x
2
+2y
3
x+y
4
6 Collect like terms.
{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x
4
+(2x
3
y+2x
3
y)+(x
2
y
2
+4x
2
y
2
+x
2
y
2
)+(2xy
3
+2xy
3
)+y
4
7 Simplify.
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
answer: x^4+4x^3 y+6x^2 y^2+4xy^3+y^4
SS
question 6/12
A text message can have a maximum of 160 characters. If Daisy has typed 3 sentences with 45
characters each, then which equation can be solved to find the number of characters she can still
type. Let "c" equal number of Daisy characters left.
Answers
Answer:
c = 160 - 3(45)
Step-by-step explanation:
if c = the number of characters left;
160 = maximum number of characters that can be used in a text
3*45 = number of characters in sentences already used. (There are 3 sentences of 45 characters.)
(# of char left) = (max # char) - (# char already used) so:
c = 160 - 3*(45)
c = 160 - 135
c = 25
If a=-3/2 b=5/4 and c=7/8 prove that a(b+c) = ab +ac.
Thank you in advance
Answers
Answer:
You would figure this out by the method of substitution
Step-by-step explanation:
a= -3/2
b= 5/4
c=7/8
a(b+c) = a(b)+a(c)
Substitute
-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)
-51/16 =-51/16
1. There are 15 girls and 12 boys in Mrs. Johnson's mathclass. Express the ratio of boys to girls in simplest form.
Answers
Answer:
4 :5
Step-by-step explanation:
boys : girls
12 : 15
Divide each by 3
12/3 : 15/3
4 :5
the cube has a side length of 0.8 meters
work out the total surface area of the cube
give your answer in square centimeters
show your working out
------------------------------------please help------------------------------------------------------------------------
Answers
Answer:
you go to the teacher and ask for help
Step-by-step explanation:
get up take paper toteacher and ask
PLEASE HURRY I DONT KNOW THE ANSWER
Answers
Answer:
20
Step-by-step explanation:
We can use similar triangles
12/3 = x/5
x = 20
Answer:
VS = 20
Step-by-step explanation:
ST/SV = RT/QV
SV = ST×QV/RT
= 12×5/3
= 60/3
= 20
Two trains leave the same station at the same time
and travel in opposite directions. One train travels
at 80 kilometers per hour and the other at 100
kilometers per hour. In how many hours will they
be 900 kilometers apart?
2 hours
3 hours
4 hours
5 hours
Answers
Answer:
D. 5 hoursStep-by-step explanation:
rt=d
rt+rt=900
80t+100t=900
180t=900
18t=90
2t=10
t=5
5 hours
80*5+100*5=900
Which could be the area of a face of the rectangular prism?
A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.
[Not drawn to scale]
5 m2
6 m2
7 m2
9 m2
Answers
Answer:
6m squared
Step-by-step explanation:
cause one of the faces is 2 times 3 and that is 6m squared
Answer:
8 m^2, 12 m^2, or 6 m^2
Step-by-step explanation:
4x2=8 m^2
4x3=12 m^2
2x3=6 m^2
It depends which face you want the area of
Can you help me with this?
|a^2| if a<0
Answers
Answer:
|(-a)²| = | a² | = a²
Step-by-step explanation:
absolute value is always positive number as well as any number squared so sign is positive no matter what
Given the speeds of each runner below, determine who runs the fastest.
Adam runs 9 feet per second.
Noah runs 164 feet in 14 seconds.
Jake runs 1 mile in 412 seconds.
Katie runs 845 feet in 1 minute.
Answers
Answer:
Katie
Step-by-step explanation:
lets convert all the speeds to ft/1 sec
V adam: 9ft/sec
V noah: 164ft/14sec
164/14=11.7142857143= around 11.7 ft/sec
V jake: 1 mile/412 sec
1 mile= 5280 ft
5280 ft/412 sec=
5280/412=12.8155339806= around 12.8 ft/sec
V katie: 845ft/min
minute=60 sec
845ft/60sec=
845/60=14.0833333333= around 14.1 ft/sec
now lets order the velocities(speeds) from least to greatest:
V adam: 9ft/sec, V noah: 11.7 ft/sec, V jake: 12.8 ft/sec, V katie: 14.1 ft/sec
thus, Katie is the fastest runner
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answers
Answer:
140 degrees
Step-by-step explanation:
The sum of the angles on a line is 180. Since we know one of the angles is 40, you do 180-40 to figure out the other angle (DCB). The answer is 140.
Answer:
[tex]x = 140 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line = 180°
Let the DCB angle be x
Given that,
ACD angle = 40°
Let's solve now,
[tex]40 + x = 180 \\ x = 180 - 40 \\ x =1 40 \: \: \: degrees[/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
HELLO, I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answers
Answer:
-1(2+x)
Step-by-step explanation:
in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x
Answer:
(-1)·2+(-1)·ₓ = -1 (2+x)
Step-by-step explanation:
distributive property: ab +ac = a(b+c)
in this case a=-1, b =2, c =x so
(-1)·2+(-1)·ₓ = -1 (2+x)
Riley and Francesca both commute to work. Riley's commute on the train
1
takes 12 minutes more than as many minutes as Francesca's commute
2
by car. It takes Riley 36 minutes to get to work. Write an equation to
determine how many minutes it takes Francesca to get to work.
36 =
X - 12
2
36 = 2x - 12
36 = 2x + 12
36 = -x + 12
Answers
36-12=24
X=24
6 gallons of paint was
purchased to paint
some small rooms. If
each room needs 3/4
of a gollon, how many
room can be painted?
Answers
Answer:
1
Step-by-step explanation:
because if 1 room is a 3/4 which is almost there but not quite, and 3+3 is 6.. 3/4 + 3/4 is bigger then 6
Answer:
5 rooms can be painted
Step-by-step explanation: we can't paint six rooms because there would be no such thing a 0.2 of a room
Ray has 3 gallons of maple syrup. He
fills nine 1-quart bottles with syrup and
gives them away. How many quarts of
maple syrup does Ray have left?
(1 gallon = 4 quarts)
Answers
Answer:
3 quarts
Step-by-step explanation:
I will give the brainiest answer
Answers
Answer:
D
Step-by-step explanation:
If you draw the shape in D and assemble it you will get the answer
btw please mark brainliest
Can someone please so me how I would figure out how to do this? I believe it’s subtraction. But I’m not sure
Answers
Answer:
A. 1/12.
Step-by-step explanation:
Orville and Wilbur ate 1/3 + 1/4
= 4/12 + 3/12
= 7/12 of the pizza.
So there was 1 - 7/12 = 5/12 of the pizza left.
So Ruth ate 5/12 * 1/5
= 5/60
= 1/12.
Each exterior angle of a regular polygon is 24º.
How many sides does the polygon have?
Answers
Answer: 360 / 24 = 15
Step-by-step explanation :
Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.
15 sides
The polygon has 15 sides
360/24=15
Ramona is training to run her first marathon, 26.2 miles. One kilometer is equal to approximately 0.62 miles. About how many kilometers is Ramona planning to run?
0.24 kilometers
16.25 kilometers
26.2 kilometers
42.25 kilometers
Answers
Answer:
42.25
Step-by-step explanation:
26.2 miles/ 0.62 miles= 42.25
Answer:
42.25
26.2 miles divided by 0.62 miles= 42.25
Step-by-step explanation:
6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.
Answers
Answer:
The number of seats needed is:
1889Step-by-step explanation:
To identify the number of seats you need add in the theater to accommodate all the people, you can write a simple equation where you subtract from all people need to be seated (15,340), the seats already there are (13,451), how I show below:
NS = x - yWhere:
NS = Number of seats that need to be added. x = People need to be seated in the theater. y = The seats there.Replacing the equation with the values:
NS = 15,340 - 13,451 NS = 1,889A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
positions will be for women. There are 16 candidates, 9 men and 7 women. What is the
total possible outcome?
Answers
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
[tex]Male = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Male = 9C3[/tex]
[tex]Male = \frac{9!}{3!(9-3)!}[/tex]
[tex]Male = \frac{9!}{3!(6)!}[/tex]
[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]
[tex]Male = 84 ways[/tex]
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
[tex]Female = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Female = 7C2[/tex]
[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]
[tex]Female = \frac{7!}{2!(5)!}[/tex]
[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]
[tex]Female = \frac{7 * 6}{2!}[/tex]
[tex]Female = \frac{42}{2*1}[/tex]
[tex]Female = 21 ways[/tex]
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,
[tex]Total = 84 * 21[/tex]
[tex]Total = 1764 ways[/tex]
Can someone help me ASAP with this
Answers
Answer:
C
Step-by-step explanation:
Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.
please need help I will be MARKING as BRIANILIST. thank you so much.
Answers
81 m+27 t
[tex]solution \\ 9(9m + 3t) \\ = 9 \times 9m + 9 \times 3t \\ = 81m + 27t[/tex]
hope it helps..
Good luck on your assignment...
-4( x^3 + x^2 -3 ) =
Answers
=(-4)(x^3+x^2+-3)
=(-4)(x^3)+(-4)(x^2)+(-4)(-3)
=-4x^3-4x^2+12
f(x) = -4x2 + 12x – 9
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
Answers
Answer:
[tex]D = 0[/tex]
The graph has 1 x-intercept
Step-by-step explanation:
Given
[tex]f(x) = -4x^2 + 12x - 9[/tex]
Required
- Discriminant of f
- Number of x intercepts
Let D represent the discriminant;
D is calculated as thus
[tex]D = b^2 - 4ac[/tex]
Where a, b and c are derived from the following general format;
[tex]f(x) = ax^2 + bx +c[/tex]
By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]
We have
[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]
Solving further;
[tex]a = -4\\b=12\\c=-9[/tex]
So, D can now be calculated;
[tex]D = b^2 - 4ac[/tex] becomes
[tex]D = 12^2 - 4 * -4 * -9[/tex]
[tex]D = 144 - 144[/tex]
[tex]D = 0[/tex]
Hence, the discriminant of f is 0
From the value of the discriminant, we can determine the number of x intercepts of the graph;
When D = 0, then; there exists only one x-intercept and it as calculated as thus
[tex]x = \frac{-b}{2a}[/tex]
Recall that
[tex]a = -4\\b=12\\c=-9[/tex]
So, [tex]x = \frac{-b}{2a}[/tex] becomes
[tex]x = \frac{-12}{2 * -4}[/tex]
[tex]x = \frac{-12}{-8}[/tex]
[tex]x = \frac{12}{8}[/tex]
[tex]x =1.5[/tex]
Ahhhhh
Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lesley must purchase
at least eleven items. If Lesley wants to spend as much as possible on his gift card by
purchasing the most items, which combination of movies and newly released video games is
optimal?
A(25, 0)
B(20,2)
C(15,4)
D(10,6)
Answers
Answer:(B)
Step-by-step explanation:
so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.
Answer:
The answer is A (25, 0)
Step-by-step explanation:.
The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.
The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week. Assuming no new donations are made,
how many cans of fruit will remain after 6 weeks?
The solution is
Answers
Answer:
670 cans of fruit
Step-by-step explanation:
sorry if this answer is wrong
