Answer:
Ella could make:
2, 3, 4, 6, or 12 fruit baskets.
Step-by-step explanation:
We know that Ella has 48 apples and 60 oranges.
She wants to make N fruit baskets, such that each one of these fruit baskets has the same number of each fruit.
So we can define the variables:
a = number of apples in each one of these baskets
o = number of oranges in each one of these baskets
Then, if we have N baskets, we must have that:
N*a = 48
N*o = 60
a = 48/N
o = 60/N
And the values of a and o must be integers, then N must be a common factor of 48 and 60.
Remember that every number can be written as a product of prime factors, then let's rewrite 48 and 60 in that way:
48 = 2*24 = 2*2*12 = 2*2*2*2*3
60 = 2*30 = 2*3*10 = 2*2*3*5
Then, the common factors between 48 and 60 are the ones we can make with the prime numbers (that appear in both constructions) these are:
2
3
2*2 = 4
2*3 = 6
2*2*3 = 12
These are all the possible numbers of fruit baskets.
In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
the midpoint of PQ. If RS = 18 – 4x, and OP = -9 + 7x, what is the
measure of OP?
R
S
O
Answer:
Measurement of OP = 12
Step-by-step explanation:
Given:
R is mid point of OQ
S is mid point of PQ
RS = 18 – 4x
OP = -9 + 7x
Find:
Measurement of OP
Computation:
R is mid point of OQ and S is mid point of PQ;
By using mid point theorem
[1/2][OP] = RS
So,
[1/2][-9 + 7x] = [18 - 4x]
[-9 + 7x] = 2[18 - 4x]
-9 + 7x = 36 - 8x
7x + 8x = 36 + 9
15x = 45
x = 45 / 15
x = 3
So,
OP = -9 + 7x
OP = -9 + 7(3)
Measurement of OP = 12
Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a third of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?]
Answer:
17
Step-by-step explanation:
the following equation can be derived from the question
7 = 1/3(4 + n)
multiply both sides of the question by 3
21 = 4 + n
combine like terms
21 - 4 = n
n = 17
1. The angle θ lies in Quadrant I.
sinθ=2/5
What is cosθ?
√−21/5
−2/5
√21/5
2/5
Answer:
2/5.......................
Please help with this
Answer:
C and D
Step-by-step explanation:
an input gives one output
2.5 km= M
Help me please
Answer:
2,500
Step-by-step explanation:
Have a good day :)
What is the length of the missing leg?
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
15^2+a^2=17^2
a^2=289-225
a^2=64
a=[tex]\sqrt{64}[/tex]
a=8
a five-question quiz is taken in which the first and second questions have four answer choices the third and fourth questions have three answer choices and the last question has five answer choices a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly
Answer:
1.37
Step-by-step explanation:
1
PLEASE HELLLLPPPPPP PLEASSEEEE I A BEGGGING YOU
Answer:
-2 2/5
Step-by-step explanation:
NEED HELP PLSSSS I DONT KNOW THE ANSWER
Answer:
[ 3 , ∞ ) Set-Builder Notation:
{ x | x ≥ 3 }
Step-by-step explanation:
At a carnival game, the chance of winning a prize is 0.45. Kylee plays the game 3 times. Using the table, what is the probability that she wins at least 1 prize? (Table shown in attached image)
A.) 0.41
B.) 0.58
C.) 0.83
D.) 0.91
Answer:
I think the answer is C 0.83 based on the math I did
Step-by-step explanation:
The probability of winning one prize in 3 attempts is P = 0.41, so the correct option is A.
How to find the probability?
We know that the probability of winning a prize is 0.45, then the probability of not winning a prize is:
q = 1 - 0.45 = 0.55
Out of 3 attempts, the probability of winning one prize is:
P(1) = (0.45)*(0.55)^2*p
where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.
Then the probability is:
P(1) = (0.45)*(0.55)^2*3 = 0.41
So the correct option is A.
If you want to learn more about probability, you can read:
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Can you help find the ratio?
Answer:
here you go (could i maybe get the crown thing)
Step-by-step explanation:
ok so we have to take a look and see what kind of ratio this is going to be
so we look and it shows its SIN (o/h)
so what that means is that A= o/h
o=12 and h=22
so your answer would be A=12/22
For some integer q, Every odd integer is of the form
(a) q (b) q+1 (c) 2q (d) 2q+1
Answer:
Every Odd Integer is of the form 2q+1
Take 5 as our test odd Number
2(5) + 1 = 11.
This works and Nothing else will from the set of Options.
SO OPTION D IS LEGIT!
PLS HELPPP
Select the representations that do not change the location of the point (9,100°)
a. (-9,280°)
b. (-9,260°)
c.(-9,-80°)
d.(9,-260°)
Answer:
d. (9,-260°)
Step-by-step explanation:
100° = 100-360 = -260°
What is the y'intercept of the line given by the equation y = 5x + 16? !!!!
Answer:
16
Step-by-step explanation:
Y=Mx+b where m is the slope and b is the y intercept
y=5x+16 where 5 is the slope and 16 is the y intercept.
. Formula of the area of a trapezoid is:
Answer:
Step-by-step explanation:
A=(b1+b2)h/2
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
Compare the two box plots to determine where Kevin should plan to go for vacation. Which statement is true?
Resort A gets more snowfall than Resort B.
Resort A gets between 250 and 400 inches of snow each year.
Resort B gets more snowfall than Resort A.
Resort B gets between 250 and 350 inches of snow each year.
Answer:
The answer is C (Resort B gets more snowfall than Resort A)
Step-by-step explanation:
According to the diagram, Resort A gets 375 inches of Snowfall, and Resort B gets 400. 375 < 400
Which statement describes the linear graph
Answer:
B.
Step-by-step explanation:
Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property
Answer:
IDENTITY PROPERTY i hope it is helpful plz marks me branily9514 1404 393
Answer:
Identity Property
Step-by-step explanation:
The identity property of addition is illustrated.
The identity element is 0. It is the additive identity element because the original value retains its identity when 0 is added.
What is the slope of the line that passes through the points (6, -5) and (6, —8)?
Write your answer in simplest form.
Answer:
(y2 -y1) / (x2 - x1)
Step-by-step explanation:
use that formula. The answer should be -3/0 which doesn't make sense. Are you sure you have your x values correct? Since in that case it would be a straight line and the equation for that would be x = 6 since it is a straight line up with no y intercept.
Hope that helped
Answer:
Undefined
Step-by-step explanation:
GIVEN :-
A line passes through two points , and their coordinates are given below :-
(x₁ , y₁) = (6 , -5)(x₂ , y₂) = (6 , -8)TO FIND :-
Slope of the lineFORMULAE TO KNOW BEFORE SOLVING :-
Lets say there's a line passing through (x₁ , y₁) & (x₂ , y₂).
[tex]=> Slope \: of \: the \: line = \frac{Rise}{Run} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
SOLUTION :-
According to the question ,
[tex]=> Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 -(-5)}{6 - 6} = \frac{-8 + 5}{0} = \frac{-3}{0}[/tex] = undefined (∵ Anything divided by 0 is undefined.)
Which angles are supplementary to∠4? Select all that apply.
9514 1404 393
Answer:
B, D, E
Step-by-step explanation:
All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...
∠2, ∠6, ∠7
What is the circumference of the circle below? (Round your answer to the
nearest tenth.)
11 cm
A. 34.6 cm
B. 17.3 cm
C. 69.1 cm
D. 138.2 cm
HELPPP
Answer:
C. 69.1
Step-by-step explanation:
Circumference formual = 2pi r
2 × 3.14 × 11
69.1cm
The circumference of the circle is 69.1 cm.
What is circumference?The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.
Given that a circle with radius 11 cm, we need to find the circumference of the circle,
Circumference = π × 2 × radius
= 3.14 × 2 × 11
= 69.1 cm
Hence, the circumference of the circle is 69.1 cm.
Learn more about circumference, click;
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Please solve, f(x) = mx + b
Answer:
[tex]m = \frac{4 - 3}{3 - 6} \\ m = \frac{1}{ - 3} \\ f(x) = \frac{ - 1}{3} x + 5
GI = 6, HI = 8, DT = 12, what is IE?
a.12
b.16
c.8
d.4
Answer:
Option D
Step-by-step explanation:
By the property of intersecting chords,
If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.
DI × EI = HI × GI
12 × EI = 8 × 6
EI = [tex]\frac{48}{12}[/tex]
EI = 4
Therefore, Option D is the correct option.
A Ferris wheel car moves from point C to point D on the circle shown below:
Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees. The diameter is 15 feet.
What is the arc length the car traveled, to the nearest hundredth?
5.89 feet
6.23 feet
7.46 feet
8.15 feet
Answer:
5.89 feet.
Step-by-step explanation:
I just took the test :)
The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.
What is a Circle?A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.
The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.
A Ferris wheel car moves from point C to point D on the circle.
Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.
The diameter is 15 feet.
The arc length is determined by using the formula
L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r
L = ( 45 / 360) * 2 * 3.14 * r
r = diameter / 2
r = 15/2 = 7.5 ft
L = ( 45 / 360) * 2 * 3.14 * 7.5)
L = 5.8875 ft
L = 5.89 feet.
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What aspects of distance learning do you hope to keep when we return to classes full time?
Pleaseeeeeeeee helppppp someone pleaseeeeeee I’m begging uuuuuuuuuuuu
Answer:
x=6
ABC= 135 degrees
Step-by-step explanation:
ABE and CBD are congruent angles (don't remember the theorem)
therefore
3x+27=45
solve for x
x=6
ABC and CBD are supplementary (meaning they add to 180)
Answer:
6
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, SR = 45, QS = 28, and RQ = 53. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:
Aprox: 1.61
Step-by-step explanation:
TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61
Answer:
28/45≈1.6071≈1.61
Step-by-step explanation:
Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!
The value of x that makes ABCD a parallelogram is C. x = 70°.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal.
It is already given.
Also, adjacent angles of a parallelogram is equal to 180°.
So,
x + 40 + 70 = 180
x + 110 = 180
x = 180 - 110
x = 70
Hence the correct option is C. x = 70°.
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please help i have to leave soon!! will give brainliest and no links hurry plezzz
Answer:
1/18
Step-by-step explanation:
There are 2 ways to get the sum of 11
5,6 and 6,5
therefore 2/36=1/18
please help i have an exam next week and im really stuck on this
Answer:
Area = 96 square cm
Step-by-step explanation:
Area of the figure = (2 x Area of triangles) + Area of square
[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]
Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]