Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's find how many total items there are in the box.
If there are 20 oranges and 10 grapes, then there are [tex]20+10=30[/tex] items in the box.
Now, if there are 10 grapes in this box, we know that the probability of picking a grape is [tex]\frac{10}{30}[/tex] because the total is the denominator and the number of items for that selection is the numerator.
We can simplify this fraction down to [tex]\frac{1}{3}[/tex].
Hope this helped!
Answer:
1/3
Step-by-step explanation:
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made of a sketch, she spent minutes sketching.
Answer:
A. 9
Step-by-step explanation:
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m=12s where m is the number of minutes and s is the number of sketches if Lori made 3/4 of a sketch she spent A.9 B.12 C.16 D.20 minutes sketching
Solution
m= number of minutes
s= number of sketches
Equation is
m=12s
If Lori made 3/4 of the sketch, then the time spent is ?
s=3/4
m=?
m=12s
m= 12 × 3/4
=36/4
=9
m=9
If Lori made 3/4 of the sketch, then she spent 9 minutes sketching.
Answer:
I hope this helps
Step-by-step explanation:
I need help pls and I will give a 5 star rating and a big thank you comrades.
Answer:
Option (C) : y = 6 / 11
Step-by-step explanation:
To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.
Since, the degrees of the numerator and denominator are the same,
Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator
Therefore,
Horizontal Asymptote = 6 / 11
given that -6,-6 is on the graph of f x find the corresponding point for the function f(3/4x)
Answer:
The corresponding point is (-8, -6).
Step-by-step explanation:
Given that
(-6,-6) lies on the graph of [tex]f(x)[/tex]
A function is represented in the form:
[tex]y = f(x)[/tex]
i.e. (-6,-6) means value of x = -6 is put and value y came out as -6.
[tex]f(-6) = -6[/tex]
Now, we have to find the corresponding point on [tex]f(\frac{3}{4}x)[/tex].
We know the value of [tex]f(-6)[/tex]
Let us find the value of x where [tex]\frac{3}{4}x[/tex] becomes equal to -6
[tex]\dfrac{3}{4}x=-6\\\Rightarrow 3x=-24\\ \Rightarrow x =-8[/tex]
So, let us put value of [tex]x = -8[/tex] in [tex]f(\frac{3}{4}x)[/tex]:
[tex]f(\frac{3}{4}\times (-8))\\\Rightarrow f(3\times (-2))\\\Rightarrow f(-6) = -6[/tex](as per given statement)
So, the corresponding point is (-8, -6).
In ΔABC, and m∠ABC = 90°. D and E are the midpoints of and , respectively. If the length of is 9 units, the length of is units and m∠CAB is °.
Applying the midsegment theorem and the definition of isosceles triangle:
DE = 4.5 units
m∠CAB = 45°
The image that shows ΔABC is attached below.
Since AB = BC, therefore, ΔABC is an isosceles triangle.
This implies that, the base angles will be equal.
Thus:
If m∠ABC = 90°, therefore,
m∠CAB = ½(180 - 90)
m∠CAB = 45°.
DE is the midsegment of the triangle, and is parallel to the third side, CA = 9 units.
Based on the midsegment theorem, we have the following equation:
DE = ½(9)
DE = 4.5 units.
Therefore, applying the midsegment theorem and the definition of isosceles triangle:
DE = 4.5 units
m∠CAB = 45°
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Answer:
4.5
45
Step-by-step explanation:
pls help with this word problem !!
Answer:
4 inch
Step-by-step explanation:
given that the ratio of the floor plan with that of the actual measurement =
1 inch : 2 feet....................(1)
so we have to find the length of the house on the floor plan if the actual measurement is 8 feet.
using eq (1), we can say that the length on the floor plan will be half of the actual length.
therefore if the actual length of the house is 8 feet, then
length of the house on the floor plan = 8/2
= 4 inch
Answer:
We need 4 inches
Step-by-step explanation:
We can use ratios to solve
1 in x inches
---------- = -------------
2 ft 8 ft
Using cross products
1 * 8 = 2 x
Divide each side by 2
8 /2 = 2x/2
4 = x
We need 4 inches
PLEASE ANSWER, DUE IN 10 MINUTES!!!!
Answer:
hello,
Step-by-step explanation:
height=23*tan(30°)=0.56*23=12.88 (ft)
In TUV, u = 17 cm, ZT=11° and ZU=103º. Find the length of t, to the nearest
centimeter
The expansion of (1 + 4x)5 is
Answer:
5+20x
Step-by-step explanation:
multiply 5 to 1 and 4x respectively
How do I solve this equation I do not know how to solve this
Answer:
It's 3/40
Step-by-step explanation:
Answer:
3/40
Step-by-step explanation:
Multiply the numerator by the other numerator (top number) to get 1*3=3.
Then multiply the denominator by the denominator (bottom number) to get 8*5=40.
Final answer is: 3/40
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
Answer:
[tex]y = \frac{-3}{4}x + 36[/tex]
Step-by-step explanation:
Data provided in the question
Height = 36 inches
Stant of the stairs followed that declines 9 inches for every 12 horizontal inches
Height = x
x = from top of the stairs
based on the above information
Therefore the change in rate is
[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]
It depicts the line sloping.
Now the function would be determined by the line equation which is as follows
y = mx+c
[tex]m = \frac{-3}{4}[/tex]
where,
c = 36 inches
So, the function is
[tex]y = \frac{-3}{4}x + 36[/tex]
Answer:
Answer is A
Step-by-step explanation:
SOLVE PLEASE if the radius of a cylinder is 2/3 the height and the height is 6, what is the area of the cylinder
Answer:
96π
Step-by-step explanation:
Sarah has 27
27 feet of wire to make bead necklaces. If each necklace
requires 12 feet of wire, how many necklaces can she make?
1
Answer:
= 2 R 3
= 2 3/12
= 2 1/4
Step-by-step explanation:
0 2
1 2 2 7
− 0
2 7
− 2 4
3
Without attempting to solve, how many solutions does this system of equations have? y=2x+1 −3y=6x+6 1. One Solution 2. No Solution 3. An infinite number of solutions 4. Cannot be determined without solving
Answer:
1. One Solution
Step-by-step explanation:
y=2x+1
−3y=6x+6
Divide the second equation by -3
−3y/-3=6x/-3+6/-3
y = -2x-2
The slopes are different so we know that the lines are not parallel
The will intersect at a point
There will be one solution
solve 16y = 80
show work please i wanna understand!
Answer:
Step-by-step explanation:
16y = 80
You want to get y by itself so you divide 80 by 16
y = 80/16
y = 5
Hope I helped
The solution to the equation 16y = 80 is y = 5.
To solve the equation 16y = 80 for the variable y, you can follow these steps:
Step 1: Divide both sides of the equation by 16 to isolate the variable y:
(16y)/16 = 80/16
y = 5
Therefore, the solution to the equation is y = 5.
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30 POINTS! PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Transformation
Options for center of dilation is located -->
At the center of the smaller circle, or at the center of the larger circle, or at at the top of the larger circle, or to the right of both circles, or to the left of both circles.
I WILL REPORT SCAMS.
The scale factor of the dilation is 0.78
The centre of dilation is located at (0,0)
The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.
According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:
[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]
Hence the scale factor of the dilation is 0.78
The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)
The scale factor of the dilation is [tex]\frac{7}{9}[/tex].
The center of dilation is a point to the right of both circles.
From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:
[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)
Where:
[tex]r_{1}[/tex] - Radius of the original circle.
[tex]r_{2}[/tex] - Radius of the dilated circle.
If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:
[tex]f = \frac{7}{9}[/tex].
The scale factor of the dilation is [tex]\frac{7}{9}[/tex].
There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)
In a nutshell, the center of dilation is a point to the right of both circles.
Factor 15x3 – 5x² + 6x – 2 by grouping. What is the resulting expression?
1. Rebecca was asked to create five pairs of like terms. Determine if she completed the task
correctly and correct any errors.
Answer:
everything but 2 and 5 was correct
Step-by-step explanation:
Like terms are those terms that are having the same variables, also the variables are of the same order as well. There are two wrong pairs in given pairs of like terms.
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
For example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
Rebecca is wrong because she had made a pair of (1/2)x and (1/2), which is wrong. Also, pairs 5a and 5b are wrong. This is because in each of the two pairs the terms do not have the same constant term with them.
Therefore, we can write the terms as,
2.5w and -8w → Already correct(1/2)x and (1/2) → (1/2)x and (1/2)x38 and -15 → Already correct-7c² and c² → Already correct5a and 5b → 5a and 5a or 5b and 5bHence, there are two wrong pairs in given pairs of like terms.
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Help Exit This Box-and-Whisker Plot displays the distribution of scores of a recent physics test. What is the median number of this set of physics test scores? Physics Test Scores
Answer: A) 87
The median value is the second quartile (Q₂), which is 87.
Answer:
A: 87
Step-by-step explanation:
Sorry for this very late response. But if anyone is not sure if answer A is correct, it is. I can confirm this because I just took the test. I hope I could help! (:
find the sum of partial fraction for x^4/(x-1)(x²-4)
Answer:
see attachment
Step-by-step explanation:
A gear ratio is the ratio of the teeth on the rear sprocket. If a bike has 36 teeth on the front and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
Answer: the ratio of the bike is 3
Step-by-step explanation:
its simply easy all you have to do is divide 36/12
Hey There!!
The answer to this is: (3:1) 36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1).
Hope It Helped!~ ♡
ItsNobody~ ☆
I NEED HELP PLEASE :(
Answer:
7/8
Step-by-step explanation:
power of 1/2 is the same as square root.
√(49/64) = 7/8 since 7/8 * 7/8 = 7*7/8*8 = 49/64
Which of the following lists of three numbers could form the side lengths of a triangle? A. 10, 20, 30 B. 122, 257, 137 C. 8.6, 12.2, 2.7 D. 1/2, 1/5, 1/6
Answer:
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle os greater than the third side.
■■■■■■■■■■■■■■■■■■■■■■■■■■
First triangle:
Let a,b and c be the sides of the triangle:
● a = 10
● b = 20
● c = 30
Now let's apply the theorem.
● a+b = 10+20=30
That's equal to the third side (c=30)
●b+c = 50
That's greater than a.
● a+c = 40
That's greater than b.
These aren't the sides of a triangel since the first inequality isn't verified.
■■■■■■■■■■■■■■■■■■■■■■■■■
Second triangle:
● a = 122
● b = 257
● c = 137
Let's apply the theorem.
● a+b = 379
That's greater than c
● a+c = 259
That's greater than b
● b+c = 394
That's greater than a
So 122,257 and 137 can be sides of a triangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
The third triangle:
● a = 8.6
● b = 12.2
● c = 2.7
Let's apply the theorem:
● a+b = 20.8
That's greater than c
● b+c = 14.9
That's greater than a
● a+c = 11.3
That isn't greater than b
So theses sides aren't the sides of triangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● a = 1/2
● b = 1/5
● c = 1/6
Let's apply the theorem.
● a+b = 7/10
That's greater than c
● a+c = 2/3
That's greater than b
● b+c = 11/30
That isn't greater than a
So these can't be the sides of a triangle.
A student is given three triangles and must determine which triangles are
congruent. The student is also told that B= ZE = ZY. Which of the
following statements is true?
Answer:
D.
Step-by-step explanation:
From the given triangles above, there are just 2 triangles that look the same, that is ∆ABC and ∆XYZ.
∆ABC has two sides (AB and BC), and an included angle (angle B), which are equal to the two sides (YZ and YX) and the included angle (angle Y) of ∆XYZ as ∆ABC is a reflection of ∆XYZ.
Therefore, according to the SAS Theorem of congruency, ∆ABC is congruent to ∆XYZ.
List the following elements in proper set notation. Place the elements in numerical order within the set. 0, 1, 123, 4, 34
Answer:
{0, 1, 4, 34, 123}
Step-by-step explanation:
{0, 1, 4, 34, 123}
the fastest land dwelling creature is the cheetah. fact or
opinion
Answer:
True.
Step-by-step explanation:
Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.
The second fastest land animal is the Pronghorn antelope at 98kph (60mph).
Answer:
It is a Fact because it can run 70mph or 112kph
is 11-2x the same as 2x-11
No they are not the same.
We can plug in x = 0 to get
11-2x = 11-2(0) = 11-0 = 11
2x-11 = 2(0)-11 = 0-11 = -11
We get the results 11 and -11 for the expressions 11-2x and 2x-11 respectively. Since we got different outputs, this is enough to show that the expressions are not the same. They would need to produce the same outputs for any given x value.
On a graph, y = 11-2x and y = 2x-11 are two different lines to show they are not the same expression.
note: if you plug in x = 11/2 = 5.5, then both outputs are the same; otherwise, you'll get different outputs.
2.) Find the measure of exterior angle X:
Answer:
x = 90
Step-by-step explanation:
Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!
60 + 30 + b= 180
a + x = 180
60 + 30 + b= 180
90 + b = 180
b = 90
90 + x = 180
x = 90
Note:exterior angle equal to the sum of its two opposite non-adjacent interior angles.
Which equation represents a population of 320 animals that decreases at an annual rate of 19% ?
A. p=320(1.19)t
B. p=320(0.81)t
C. p=320(0.19)t
D. p=320(1.81)t
Use the ^ symbol to indicate exponents. So for instance 4^2 = 4 squared.
A decrease of 19% means we have r = -0.19 and 1+r = 1+(-0.19) = 0.81 as the base of the exponent. A decrease of 19% means the population retains 81% each year.
The width of a rectangle is 9
inches less than the length. The
perimeter is 86 inches
Answer:
Below.
Step-by-step explanation:
If the length is x then the width is x-9 inches.
Perimeter
= 2L + 2W = 86
2x + 2(x - 9) = 86
4x - 18 = 86
4x = 104
x = 26
So the length is 26 inches and the width is 17 inches.
Explain the steps necessary to convert a quadratic function in standard form to vertex form.
Answer:
A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.
Step-by-step explanation:
Answer:
A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.
Step-by-step explanation:
Sample response