Store employees are handing out coupons. Every 5th customer gets a free bagel coupon. Every 9th customer gets a free drink coupon.
Which customer is the first to receive both coupons?
Answer:
the 45th customer.
Step-by-step explanation:
9•1= 9 9•2=18 9•3=27 9•4=36 9•5=45
5 doesn't go into any other number except for 45.
The first customer to receive both a free bagel coupon and a free drink coupon is the 45th customer.
To find the first customer who receives both coupons (a free bagel coupon and a free drink coupon), we need to determine the least common multiple (LCM) of 5 and 9, which represents the point at which both coupon distributions coincide.
The LCM of 5 and 9 is 45.
This means that the first customer to receive both coupons will be the 45th customer. On the 45th customer, both the 5th customer and the 9th customer coincide, so this customer will receive both a free bagel coupon and a free drink coupon.
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For brainliest answer this ASAP
The hypotenuse of a right triangle is 4 meters more than three times the length of the shorter . The length of the longer leg is less than that of the hypotenuse. Find the length of the shorter leg of the triangle .
Answer:
The hypotenuse of a right triangle is 4m longer than the shorter leg and 2m longer than the longer leg. What are the lengths of the sides?
Just for variety, consider the hypotenuse = h, the short leg h-4 and the long leg h-2.
c^2 = a^2 + b^2; so h^2 = (h-4)^2 + (h-2)^2; h^2 = h^2 - 8h + 16 +h^2 -4h +4;
h^2 -12h +20 = 0 factors to (h - 10)(h - 2) = 0 so h = 2 or h = 10
Since (h - 2) = (2 - 2) = 0 and a triangle cannot have a side of zero length, 10 is the length of the hypotenuse.
h^2 = (h-4)^2 + (h-2); 10^2 = (10-4)^2 + (10-2); (10)^2 = (6)^2 + (8)
The hypotenuse is 10 cm, short leg 6 cm and long leg 8 cm.
ABC Bookstore sells one customer 12 used books and 4 new books for $136.
Another customer buys 14 used books and 2 new books for $124. How much
is one used book (u), and one new book (n)?
Answer:
n=6 u=28/3
Step-by-step explanation:
system of equations
The number of used books sold will be 7 and that of the new book will be 9.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given
Number of used books = u
Number of new books = v
In the first case;
12u + 4n = 136
In the second case;
28u + 4n = 248
By both equations,
u = 7 and n = 9
So the number of used books is 7 and the new is 9.
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A sociologist polled a random collection of people and asked them their
age and annual income. The two-way frequency table below shows the
results. Which of the following is true about the people polled?
A
People age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.
B
People age 44 and under were less likely to earn at
least $50,000 than people age 45 and up.
C
People age 44 and under were equally likely to earn
at least $50,000 as people age 45 and up.
D
There is not enough information to determine if
people age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.
Answer:
B
Step-by-step explanation:
How much wrapping paper did he use ,in square inches
Answer:
96.76 square inches
Step-by-step explanation:
5.2x5.2=27.04
6.7x5.2/2=17.42
17.42x4=69.68
69.68+27.04=96.76
Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3
Helppp!! Summer math Packet!
(+4) +(-7) =
Step-by-step explanation:
(+4)+(-7)
=4-7
=-3
Hope it will help you..
(18x²+11x+1) divided by (x+2)
Answer:
It's not divisible
Step-by-step explanation:
18x²+11x+1
= 18x²+9x+2x+1
= (9x+1)(2x+1)
So, you see there's no terms (x+2) so it's not divisible
Although if you simplify it, it'll look like,
18x+51/(x+2)-25
So you can't remove the (x+2)
factorise [tex]x^{2} - 121[/tex]
Answer:
(x+11)(x-11)
Step-by-step explanation:
Hello!
We are given the expression x²-121, and we want to factor it
The expression is a difference of squares expression.
The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)
121 is 11 squared, and x² is x squared
So that means that a=x, and b=11 in this case
Now substitute those values into the formula
a²-b²=x²-121=(x+11)(x-11)
Hope this helps!
Answer:
(x-11)(x+11)
Step-by-step explanation:
x^2 -121
x^2 -11^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(x-11)(x+11)
the area of kitchen is 149m^2 how many tiles each of area 0.2m^2 are needed to flooring the kitchen what will be the total coast at the rate of rs 250 per tiles..
Answer:
186,250 rs
Step-by-step explanation:
So
149m is the whole space
0.2m is one tile space
250 rs = 0.2 tiles (so 250=1)
so if there is
If BC = 15, BE = 6, DC = 12, and AD = 8,
then segment DE is parallel to segment
AB.
The ratio of the measures of the acute angles of a right triangle is $8:1$. In degrees, what is the measure of the largest angle of the triangle?
Answer:
The angles in the triangle and 10, 80 and 90
Step-by-step explanation:
The two angles that are left in a right triangle add to 90 degrees
8:1 means that there total is 9
8x+1x = 9x
9x = 90
Divide by 9
9x/9 = 90/9
x = 10
8*10 = 80
1*10 = 10
The angles are 80 and 10
The angles in the triangle and 10, 80 and 90
WOULD A KIND S0UL PLEASE HELP ME OUT???!!!!!!!!!!!!
The translation (x, y) ->(x + 10, y – 6) is applied to triangle ABC to create a new image triangle A’B’C’. Graph triangle A’B’C’ on the coordinate plane.
show your work so I can see if your answer makes sense !!!!!
Answer:
here you go mate. sorry I just calculated straight away since you needed it urgently.
but if you use the (x+10, y-6) you'll arrive at similar answers as mine
Answer:
I hope the image helps ^^
Step-by-step explanation:
First, i looked at the x + 10, so I chose a random point from ABC, (C) and moved it 10+.
Then I looked at y - 6, a moved it 6 units down.
There, I found C', so now that I had one of the points from A'B'C', I could make the other ones looking at the triangle ABC.
Since this is a translation, we're only moving the triangle to make ABC. So thats how I found the answer, does that make since?
A woman gave birth to twins. The baby girl was 6 lb. 5 oz. And the boy was 5 lb. 12 oz. How much did they weigh together?
Answer:
12lb and 7oz
Step-by-step explanation:
you can just add it together and get an answer
Answer:
11 lbs 17oz
Step-by-step explanation:
Find the domain and range of this function.
Answer:
domain- (0, infinity) range- (1, infinity)
Step-by-step explanation:
This diagram shows lines PQ, RS, and TV. How
many angles appear to be obtuse? Name them.
Answer:
Obtuse angles measure between 90° and 180°.
In the diagram we have:
∠PMS, ∠RMN, ∠MNV, ∠TNQObtuse angles measure less than 180° but more than right angle
Here they are
<RMN<SMP<VNM<QNTFind the indicated side of the right triangle
Answer:
x=9
y=9sqrt2
Step-by-step explanation:
Since it is a 45 45 90 triangle, the two side lengths are the same
But the hypoteneuse is always the side length time sqrt 2
Answer:
9
Step-by-step explanation:
so to find x you have to use the tan ratio because x is the opposite of the angle at the top and you are given which is 9
tan45=opposite/adjacent
tan45=x/9
x=tan45×9
=9
I hope this helps
Sal washed 5 cars in 50 minutes. What is the unit rate?
Answer:
since Sal washed 5 cars in 50 minutes, we can express his time as follow:
[tex] \frac{5 \: cars}{50 \: minutes} [/tex]
simplifying it by diving by 5, we get:
[tex] \frac{1 \: car}{10 \: minutes} [/tex]
Thus the rate will be 10 minutes per car (10 min/car)
Answer:
10 mins / car
Step-by-step explanation:
50 / 5 = 10
what is the probability notation for the probability for choosing a green marble?
The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).
The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.
Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.
Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.
Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].
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pls help !! answer both 1a and 1b pls
Answer:
KM = 50 mm , ∠ K = 104°
Step-by-step explanation:
Note that KM = KL = 50mm ( congruent legs )
This indicates the triangle is isosceles with base angles congruent, both 38°
∠ K = 180° - (38 + 38)° = 180° - 76° = 104°
Answer:
So the answer is 398°
Step-by-step explanation:
hope it helps
Which relation is also a function?
{ (1,0), (2,2), (1,3) }
{ (1, 2), (1, 4), (2, 6) }
{ (2, 1), (2, 2), (2, 3) }
{ (0, 0), (4, 0), (6, 0) }
Answer:
{ (0, 0), (4, 0), (6, 0) }
Step-by-step explanation:
In order to be a function, ordered pairs must have values of x, or the domain, that are different and do not repeat.
Find the sum of the infinite geometric series.
2- 2/3+ 2/9 -2/27+...
Answer:
3/2
Step-by-step explanation:
[tex]2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}[/tex]
a family block of Chocolate is made up of 6o small squares
manica eats 10 square John eats 9 Squares and holly eats
5 squares what is the fraction of the block of chocolate
is left
Answer:
a family block of Chocolate is made up of 6o small squares
manica eats 10 square John eats 9 Squares and holly eats
5 squares what is the fraction of the block of chocolate
is left
Step-by-step explanation:
i think its answer is 36
Find the number of terms of the geometric progression 81, 27, 9,....,1/81
Answer:
9
Step-by-step explanation:
r = 27/81 = 1/3
a = 81
Tn = 1/81
ar^(n-1) = 1/81
81(1/3)^(n-1) = 1/81
(1/3)^(n-1) = 1/6561
(1/3)^(n-1) = 1/3^(8)
Compare the exponents,
n-1 = 8
n = 9
John earns $6 per hour for mowing the lawn. If t represents John's total earnings for h hours of mowing, which equations can be used to model the situation
Answer:
h=6
Step-by-step explanation:
Hola pordrian ayudarme con esto:
Resuelve las ecuaciones aplicando la fórmula general
a) 2xsobre2-7×+3=0
Hace mucho que ni hacia este tipo de problemas y por eso les pido su ayuda
Answer:
sorry I don't understand can somebody help him??
Which expressions are equivalent to 2^5/6^5
Answer:
B:: 3^-5
Step-by-step explanation:
Symplifying, you should get 1/3 raised to the 5. flip the expression and you will get 3 to the negative 5. one to the 5 is just 1•1•1•1•1, which will result in 1, so we don't care about that.
answer for brainlist + extra points
Which operation will not change the value of any nonzero number?
A. Multiplying by One
B. Dividing by Zero
C. Multiplying by Zero
D. Adding One
Answer:
A. Multiplying by One
Step-by-step explanation:
semoga membantu
I want you to help me with this
Answer:
$44.1
Step-by-step explanation:
March>>>>$40
for April: $40 × 5/100= $2 which is the 5% of $40.
Meaning for April Siti got $42
Then for May: $42 × 5 /100= $2.1 meaning she got $44.1 for May.
Solve please. 5x+6=1 X=
Answer:
x = -1Step-by-step explanation:
Given,
5x + 6 = 1
=> 5x = 1 - 6
=> 5x = -5
[tex] = > x = \frac{ - 5}{5} [/tex]
=> x = -1 (Ans)
The circle below is centered at the origin and has a radius of 10. What is its
equation?
10
O A. x2 + y2 = 100
O B. x2 - y2 = 10
O c. x2 + y2 = 10
O D. x2 - y2 = 100
Answer:
x^2+y^2=100
Steps:-
We know Distance formula from origin
[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}[/tex]
Now
[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}=10[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=10^2[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=100[/tex]
The equation of the circle with radius r = 10 is given by x² + y² = 100
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the radius of the circle be r
where radius r = 10
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
The center of the circle is the origin O ( 0 , 0 )
So , h = 0 and k = 0
On simplifying , we get
x² + y² = ( 10 )²
x² + y² = 100 be equation (1)
Therefore , the value of A is x² + y² = 100
Hence , the equation of circle is x² + y² = 100
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